TSTP Solution File: SWW326+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW326+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:07:31 EDT 2024
% Result : Theorem 184.24s 184.08s
% Output : CNFRefutation 184.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW326+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.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 : Wed Jun 19 07:51:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.50/0.59 start to proof:theBenchmark
% 183.87/183.93 %-------------------------------------------
% 183.87/183.93 % File :CSE---1.7
% 183.87/183.93 % Problem :theBenchmark
% 183.87/183.93 % Transform :cnf
% 183.87/183.93 % Format :tptp:raw
% 183.87/183.93 % Command :java -jar mcs_scs.jar %d %s
% 183.87/183.93
% 183.87/183.93 % Result :Theorem 167.250000s
% 183.87/183.93 % Output :CNFRefutation 167.250000s
% 183.87/183.93 %-------------------------------------------
% 183.87/183.93 %------------------------------------------------------------------------------
% 183.87/183.93 % File : SWW326+1 : TPTP v8.2.0. Released v5.2.0.
% 183.87/183.93 % Domain : Software Verification
% 183.87/183.93 % Problem : Hoare's Logic with Procedures 435091, 5000 axioms selected
% 183.87/183.93 % Version : Especial.
% 183.87/183.93 % English :
% 183.87/183.93
% 183.87/183.93 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 183.87/183.94 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 183.87/183.94 % Source : [Bla11]
% 183.87/183.94 % Names : hoare_435091.5000.p [Bla11]
% 183.87/183.94
% 183.87/183.94 % Status : ContradictoryAxioms
% 183.87/183.94 % Rating : 0.64 v7.5.0, 0.69 v7.4.0, 0.70 v7.3.0, 0.72 v7.1.0, 0.78 v7.0.0, 0.77 v6.4.0, 0.73 v6.3.0, 0.75 v6.2.0, 0.88 v6.1.0, 0.90 v6.0.0, 0.83 v5.5.0, 0.89 v5.4.0, 0.86 v5.3.0, 0.89 v5.2.0
% 183.87/183.94 % Syntax : Number of formulae : 5207 (1705 unt; 0 def)
% 183.87/183.94 % Number of atoms : 12612 (4534 equ)
% 183.87/183.94 % Maximal formula atoms : 13 ( 2 avg)
% 183.87/183.94 % Number of connectives : 8497 (1092 ~; 158 |; 713 &)
% 183.87/183.94 % ( 875 <=>;5659 =>; 0 <=; 0 <~>)
% 183.87/183.94 % Maximal formula depth : 22 ( 6 avg)
% 183.87/183.94 % Maximal term depth : 19 ( 2 avg)
% 183.87/183.94 % Number of predicates : 141 ( 140 usr; 1 prp; 0-7 aty)
% 183.87/183.94 % Number of functors : 389 ( 389 usr; 58 con; 0-10 aty)
% 183.87/183.94 % Number of variables : 16777 (16648 !; 129 ?)
% 183.87/183.94 % SPC : FOF_CAX_RFO_SEQ
% 183.87/183.94
% 183.87/183.94 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 183.87/183.94 % 2011-03-01 11:54:37
% 183.87/183.94 %------------------------------------------------------------------------------
% 183.87/183.94 %----Relevant facts (4983)
% 183.87/183.94 fof(fact_ext,axiom,
% 183.87/183.94 ! [V_g_2,V_f_2] :
% 183.87/183.94 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 183.87/183.94 => V_f_2 = V_g_2 ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_hoare__valids__def,axiom,
% 183.87/183.94 ! [V_ts_2,V_Ga_2,T_b] :
% 183.87/183.94 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2)
% 183.87/183.94 <=> ! [B_n] :
% 183.87/183.94 ( ! [B_x] :
% 183.87/183.94 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2))
% 183.87/183.94 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) )
% 183.87/183.94 => ! [B_x] :
% 183.87/183.94 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 183.87/183.94 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_OWhileFalse,axiom,
% 183.87/183.94 ! [V_n_2,V_ca_2,V_s_2,V_ba_2] :
% 183.87/183.94 ( ~ hBOOL(hAPP(V_ba_2,V_s_2))
% 183.87/183.94 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_ba_2,V_ca_2),V_s_2,V_n_2,V_s_2) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_OWhileTrue,axiom,
% 183.87/183.94 ! [V_s2_2,V_s1_2,V_n_2,V_ca_2,V_s0_2,V_ba_2] :
% 183.87/183.94 ( hBOOL(hAPP(V_ba_2,V_s0_2))
% 183.87/183.94 => ( c_Natural_Oevaln(V_ca_2,V_s0_2,V_n_2,V_s1_2)
% 183.87/183.94 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_ba_2,V_ca_2),V_s1_2,V_n_2,V_s2_2)
% 183.87/183.94 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_ba_2,V_ca_2),V_s0_2,V_n_2,V_s2_2) ) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_Oequations_I7_J,axiom,
% 183.87/183.94 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 183.87/183.94 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2)
% 183.87/183.94 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.87/183.94 => ? [B_s1] :
% 183.87/183.94 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 183.87/183.94 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_Oequations_I8_J,axiom,
% 183.87/183.94 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 183.87/183.94 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2)
% 183.87/183.94 <=> ( ( V_a6_2 = V_a2_2
% 183.87/183.94 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 183.87/183.94 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.87/183.94 & ? [B_s1] :
% 183.87/183.94 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 183.87/183.94 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I5_J,axiom,
% 183.87/183.94 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 183.87/183.94 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 183.87/183.94 <=> ( V_fun_2 = V_fun_H_2
% 183.87/183.94 & V_com_2 = V_com_H_2 ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_triples__valid__Suc,axiom,
% 183.87/183.94 ! [V_n_2,V_ts_2,T_b] :
% 183.87/183.94 ( ! [B_x] :
% 183.87/183.94 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 183.87/183.94 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) )
% 183.87/183.94 => ! [B_x] :
% 183.87/183.94 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 183.87/183.94 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_triple__valid__def2,axiom,
% 183.87/183.94 ! [V_Q_2,V_ca_2,V_Pa_2,V_n_2,T_b] :
% 183.87/183.94 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Q_2))
% 183.87/183.94 <=> ! [B_Z,B_s] :
% 183.87/183.94 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 183.87/183.94 => ! [B_s_H] :
% 183.87/183.94 ( c_Natural_Oevaln(V_ca_2,B_s,V_n_2,B_s_H)
% 183.87/183.94 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln__WHILE__case,axiom,
% 183.87/183.94 ! [V_t_2,V_n_2,V_s_2,V_ca_2,V_ba_2] :
% 183.87/183.94 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_ba_2,V_ca_2),V_s_2,V_n_2,V_t_2)
% 183.87/183.94 => ( ( V_t_2 = V_s_2
% 183.87/183.94 => hBOOL(hAPP(V_ba_2,V_s_2)) )
% 183.87/183.94 => ~ ( hBOOL(hAPP(V_ba_2,V_s_2))
% 183.87/183.94 => ! [B_s1] :
% 183.87/183.94 ( c_Natural_Oevaln(V_ca_2,V_s_2,V_n_2,B_s1)
% 183.87/183.94 => ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_ba_2,V_ca_2),B_s1,V_n_2,V_t_2) ) ) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_triple__valid__Suc,axiom,
% 183.87/183.94 ! [V_t,V_n,T_a] :
% 183.87/183.94 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 183.87/183.94 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I69_J,axiom,
% 183.87/183.94 ! [V_com_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(V_f6_2,V_fun_2),V_com_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_OSkip,axiom,
% 183.87/183.94 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln__elim__cases_I1_J,axiom,
% 183.87/183.94 ! [V_t,V_n,V_s] :
% 183.87/183.94 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t)
% 183.87/183.94 => V_t = V_s ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_triple_Oinject,axiom,
% 183.87/183.94 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] :
% 183.87/183.94 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_H_2),V_com_H_2),V_fun2_H_2)
% 183.87/183.94 <=> ( V_fun1_2 = V_fun1_H_2
% 183.87/183.94 & V_com_2 = V_com_H_2
% 183.87/183.94 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I64_J,axiom,
% 183.87/183.94 ! [V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSKIP) = V_f1_2 ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln__Suc,axiom,
% 183.87/183.94 ! [V_s_H,V_n,V_s,V_c] :
% 183.87/183.94 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
% 183.87/183.94 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_Oequations_I1_J,axiom,
% 183.87/183.94 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I17_J,axiom,
% 183.87/183.94 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I16_J,axiom,
% 183.87/183.94 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_triple_Orecs,axiom,
% 183.87/183.94 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_triple_Osimps_I2_J,axiom,
% 183.87/183.94 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_n__not__Suc__n,axiom,
% 183.87/183.94 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_Suc__n__not__n,axiom,
% 183.87/183.94 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 183.87/183.94
% 183.87/183.94 fof(fact_nat_Oinject,axiom,
% 183.87/183.94 ! [V_nat_H_2,V_nat_2] :
% 183.87/183.94 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 183.87/183.94 <=> V_nat_2 = V_nat_H_2 ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_Suc__inject,axiom,
% 183.87/183.94 ! [V_y,V_x] :
% 183.87/183.94 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 183.87/183.94 => V_x = V_y ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_OSemi,axiom,
% 183.87/183.94 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] :
% 183.87/183.94 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1)
% 183.87/183.94 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
% 183.87/183.94 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Orecs_I1_J,axiom,
% 183.87/183.94 ! [V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSKIP) = V_f1_2 ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I67_J,axiom,
% 183.87/183.94 ! [V_com2_2,V_com1_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSemi(V_com1_2,V_com2_2)) = hAPP(hAPP(V_f4_2,V_com1_2),V_com2_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Orecs_I6_J,axiom,
% 183.87/183.94 ! [V_com_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(V_f6_2,V_fun_2),V_com_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com_2)) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln__elim__cases_I5_J,axiom,
% 183.87/183.94 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_ba_2] :
% 183.87/183.94 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_ba_2,V_c1_2,V_c2_2),V_s_2,V_n_2,V_t_2)
% 183.87/183.94 => ( ( hBOOL(hAPP(V_ba_2,V_s_2))
% 183.87/183.94 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_t_2) )
% 183.87/183.94 => ~ ( ~ hBOOL(hAPP(V_ba_2,V_s_2))
% 183.87/183.94 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_n_2,V_t_2) ) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_OIfFalse,axiom,
% 183.87/183.94 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_ba_2] :
% 183.87/183.94 ( ~ hBOOL(hAPP(V_ba_2,V_s_2))
% 183.87/183.94 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_s1_2)
% 183.87/183.94 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_ba_2,V_c0_2,V_c1_2),V_s_2,V_n_2,V_s1_2) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_OIfTrue,axiom,
% 183.87/183.94 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_ba_2] :
% 183.87/183.94 ( hBOOL(hAPP(V_ba_2,V_s_2))
% 183.87/183.94 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_n_2,V_s1_2)
% 183.87/183.94 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_ba_2,V_c0_2,V_c1_2),V_s_2,V_n_2,V_s1_2) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I44_J,axiom,
% 183.87/183.94 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I45_J,axiom,
% 183.87/183.94 ! [V_com2_2,V_com1_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I3_J,axiom,
% 183.87/183.94 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 183.87/183.94 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 183.87/183.94 <=> ( V_com1_2 = V_com1_H_2
% 183.87/183.94 & V_com2_2 = V_com2_H_2 ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I4_J,axiom,
% 183.87/183.94 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 183.87/183.94 ( c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) = c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2)
% 183.87/183.94 <=> ( V_fun_2 = V_fun_H_2
% 183.87/183.94 & V_com1_2 = V_com1_H_2
% 183.87/183.94 & V_com2_2 = V_com2_H_2 ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Orecs_I4_J,axiom,
% 183.87/183.94 ! [V_com2_2,V_com1_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSemi(V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(hAPP(V_f4_2,V_com1_2),V_com2_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com1_2)),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com2_2)) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Orecs_I5_J,axiom,
% 183.87/183.94 ! [V_com2_2,V_com1_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(hAPP(hAPP(V_f5_2,V_fun_2),V_com1_2),V_com2_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com1_2)),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com2_2)) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_Oequations_I5_J,axiom,
% 183.87/183.94 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] :
% 183.87/183.94 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2),V_a2_2,V_a4_2,V_a5_2)
% 183.87/183.94 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.87/183.94 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) )
% 183.87/183.94 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.87/183.94 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_Oequations_I6_J,axiom,
% 183.87/183.94 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] :
% 183.87/183.94 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2),V_a2_2,V_a4_2,V_a5_2)
% 183.87/183.94 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.87/183.94 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) )
% 183.87/183.94 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.87/183.94 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I53_J,axiom,
% 183.87/183.94 ! [V_com2_2,V_com1_2,V_fun_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I52_J,axiom,
% 183.87/183.94 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln_Oequations_I4_J,axiom,
% 183.87/183.94 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] :
% 183.87/183.94 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2)
% 183.87/183.94 <=> ? [B_s1] :
% 183.87/183.94 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1)
% 183.87/183.94 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I15_J,axiom,
% 183.87/183.94 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSKIP ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I14_J,axiom,
% 183.87/183.94 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I46_J,axiom,
% 183.87/183.94 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I47_J,axiom,
% 183.87/183.94 ! [V_com2_2,V_com1_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I13_J,axiom,
% 183.87/183.94 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I12_J,axiom,
% 183.87/183.94 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_com_Osimps_I68_J,axiom,
% 183.87/183.94 ! [V_com2_2,V_com1_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(V_f5_2,V_fun_2),V_com1_2),V_com2_2) ).
% 183.87/183.94
% 183.87/183.94 fof(fact_evaln__elim__cases_I4_J,axiom,
% 183.87/183.94 ! [V_t,V_n,V_s,V_c2,V_c1] :
% 183.87/183.94 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t)
% 183.87/183.94 => ~ ! [B_s1] :
% 183.87/183.95 ( c_Natural_Oevaln(V_c1,V_s,V_n,B_s1)
% 183.87/183.95 => ~ c_Natural_Oevaln(V_c2,B_s1,V_n,V_t) ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 183.87/183.95 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 183.87/183.95 ( class_Rings_Osemiring__1(T_b)
% 183.87/183.95 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_nat__case__Suc,axiom,
% 183.87/183.95 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_nat__rec__Suc,axiom,
% 183.87/183.95 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WTs__elim__cases_I4_J,axiom,
% 183.87/183.95 ! [V_c2,V_c1] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c1,V_c2)))
% 183.87/183.95 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1))
% 183.87/183.95 => ~ hBOOL(hAPP(c_Com_OWT,V_c2)) ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I66_J,axiom,
% 183.87/183.95 ! [V_com_2,V_fun_2,V_loc_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(V_f3_2,V_loc_2),V_fun_2),V_com_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I71_J,axiom,
% 183.87/183.95 ! [V_fun_2,V_pname_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = hAPP(hAPP(hAPP(V_f8_2,V_vname_2),V_pname_2),V_fun_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WTs__elim__cases_I5_J,axiom,
% 183.87/183.95 ! [V_c2_2,V_c1_2,V_ba_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_ba_2,V_c1_2,V_c2_2)))
% 183.87/183.95 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1_2))
% 183.87/183.95 => ~ hBOOL(hAPP(c_Com_OWT,V_c2_2)) ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I65_J,axiom,
% 183.87/183.95 ! [V_fun_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = hAPP(hAPP(V_f2_2,V_vname_2),V_fun_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WTs__elim__cases_I6_J,axiom,
% 183.87/183.95 ! [V_ca_2,V_ba_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_ba_2,V_ca_2)))
% 183.87/183.95 => hBOOL(hAPP(c_Com_OWT,V_ca_2)) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I70_J,axiom,
% 183.87/183.95 ! [V_pname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,hAPP(c_Com_Ocom_OBODY,V_pname_2)) = hAPP(V_f7_2,V_pname_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WTs__elim__cases_I3_J,axiom,
% 183.87/183.95 ! [V_ca_2,V_a_2,V_Y_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_ca_2)))
% 183.87/183.95 => hBOOL(hAPP(c_Com_OWT,V_ca_2)) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WTs__elim__cases_I8_J,axiom,
% 183.87/183.95 ! [V_a_2,V_Pa_2,V_X_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_X_2,V_Pa_2,V_a_2)))
% 183.87/183.95 => hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_Pa_2))) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_OCall,axiom,
% 183.87/183.95 ! [V_a_2,V_X_2,V_pn_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn_2)))
% 183.87/183.95 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_X_2,V_pn_2,V_a_2))) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_OLocal,axiom,
% 183.87/183.95 ! [V_a_2,V_Y_2,V_ca_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 183.87/183.95 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_ca_2))) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I2_J,axiom,
% 183.87/183.95 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 183.87/183.95 ( c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) = c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2)
% 183.87/183.95 <=> ( V_loc_2 = V_loc_H_2
% 183.87/183.95 & V_fun_2 = V_fun_H_2
% 183.87/183.95 & V_com_2 = V_com_H_2 ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I7_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_pname_2,V_vname_2] :
% 183.87/183.95 ( c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2) = c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2)
% 183.87/183.95 <=> ( V_vname_2 = V_vname_H_2
% 183.87/183.95 & V_pname_2 = V_pname_H_2
% 183.87/183.95 & V_fun_2 = V_fun_H_2 ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I1_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_vname_H_2,V_fun_2,V_vname_2] :
% 183.87/183.95 ( c_Com_Ocom_OAss(V_vname_2,V_fun_2) = c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2)
% 183.87/183.95 <=> ( V_vname_2 = V_vname_H_2
% 183.87/183.95 & V_fun_2 = V_fun_H_2 ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I6_J,axiom,
% 183.87/183.95 ! [V_pname_H_2,V_pname_2] :
% 183.87/183.95 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2)
% 183.87/183.95 <=> V_pname_2 = V_pname_H_2 ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_Oequations_I8_J,axiom,
% 183.87/183.95 ! [V_a3_2,V_a1_2,V_a2_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_a2_2,V_a1_2,V_a3_2)))
% 183.87/183.95 <=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a1_2))) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_Oequations_I3_J,axiom,
% 183.87/183.95 ! [V_a1_2,V_a3_2,V_a2_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_a2_2,V_a3_2,V_a1_2)))
% 183.87/183.95 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_Oequations_I2_J,axiom,
% 183.87/183.95 ! [V_a2_2,V_a1_2] : hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OAss(V_a1_2,V_a2_2))) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I42_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I43_J,axiom,
% 183.87/183.95 ! [V_com_2,V_fun_2,V_loc_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I23_J,axiom,
% 183.87/183.95 ! [V_fun_2,V_vname_2,V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I33_J,axiom,
% 183.87/183.95 ! [V_fun_2,V_vname_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I40_J,axiom,
% 183.87/183.95 ! [V_pname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I63_J,axiom,
% 183.87/183.95 ! [V_pname_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != hAPP(c_Com_Ocom_OBODY,V_pname_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I22_J,axiom,
% 183.87/183.95 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I32_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I30_J,axiom,
% 183.87/183.95 ! [V_pname_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I41_J,axiom,
% 183.87/183.95 ! [V_com_2,V_fun_2,V_loc_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I62_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_pname_2] : hAPP(c_Com_Ocom_OBODY,V_pname_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I31_J,axiom,
% 183.87/183.95 ! [V_fun_2,V_vname_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_OAssign,axiom,
% 183.87/183.95 ! [V_a_2,V_X_2] : hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OAss(V_X_2,V_a_2))) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I58_J,axiom,
% 183.87/183.95 ! [V_pname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I59_J,axiom,
% 183.87/183.95 ! [V_com_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I54_J,axiom,
% 183.87/183.95 ! [V_pname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I55_J,axiom,
% 183.87/183.95 ! [V_com2_2,V_com1_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I48_J,axiom,
% 183.87/183.95 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I49_J,axiom,
% 183.87/183.95 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I18_J,axiom,
% 183.87/183.95 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I19_J,axiom,
% 183.87/183.95 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ).
% 183.87/183.95
% 183.87/183.95 fof(fact_While,axiom,
% 183.87/183.95 ! [V_ba_2,V_ca_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 183.87/183.95 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_ba_2,V_ca_2))) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_Oequations_I6_J,axiom,
% 183.87/183.95 ! [V_a1_2,V_a2_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_a2_2,V_a1_2)))
% 183.87/183.95 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_OIf,axiom,
% 183.87/183.95 ! [V_ba_2,V_c1_2,V_c0_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,V_c0_2))
% 183.87/183.95 => ( hBOOL(hAPP(c_Com_OWT,V_c1_2))
% 183.87/183.95 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_ba_2,V_c0_2,V_c1_2))) ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_Oequations_I5_J,axiom,
% 183.87/183.95 ! [V_a2_2,V_a1_2,V_a3_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_a3_2,V_a1_2,V_a2_2)))
% 183.87/183.95 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2))
% 183.87/183.95 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_OSemi,axiom,
% 183.87/183.95 ! [V_c1,V_c0] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,V_c0))
% 183.87/183.95 => ( hBOOL(hAPP(c_Com_OWT,V_c1))
% 183.87/183.95 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c0,V_c1))) ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_Oequations_I4_J,axiom,
% 183.87/183.95 ! [V_a2_2,V_a1_2] :
% 183.87/183.95 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_a1_2,V_a2_2)))
% 183.87/183.95 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2))
% 183.87/183.95 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_OSkip,axiom,
% 183.87/183.95 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_WT_Oequations_I1_J,axiom,
% 183.87/183.95 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I29_J,axiom,
% 183.87/183.95 ! [V_fun_2,V_vname_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I28_J,axiom,
% 183.87/183.95 ! [V_com_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I38_J,axiom,
% 183.87/183.95 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I61_J,axiom,
% 183.87/183.95 ! [V_com_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I39_J,axiom,
% 183.87/183.95 ! [V_com_2,V_fun_2,V_loc_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I60_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I27_J,axiom,
% 183.87/183.95 ! [V_fun_2,V_vname_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I26_J,axiom,
% 183.87/183.95 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I36_J,axiom,
% 183.87/183.95 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I37_J,axiom,
% 183.87/183.95 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I56_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I57_J,axiom,
% 183.87/183.95 ! [V_com2_2,V_com1_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I25_J,axiom,
% 183.87/183.95 ! [V_fun_2,V_vname_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I24_J,axiom,
% 183.87/183.95 ! [V_com2_H_2,V_com1_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I8_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I9_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I34_J,axiom,
% 183.87/183.95 ! [V_com2_H_2,V_com1_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I51_J,axiom,
% 183.87/183.95 ! [V_com2_2,V_com1_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I35_J,axiom,
% 183.87/183.95 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I50_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I20_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I10_J,axiom,
% 183.87/183.95 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I21_J,axiom,
% 183.87/183.95 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Osimps_I11_J,axiom,
% 183.87/183.95 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Orecs_I7_J,axiom,
% 183.87/183.95 ! [V_pname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,hAPP(c_Com_Ocom_OBODY,V_pname_2)) = hAPP(V_f7_2,V_pname_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Orecs_I2_J,axiom,
% 183.87/183.95 ! [V_fun_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = hAPP(hAPP(V_f2_2,V_vname_2),V_fun_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Orecs_I3_J,axiom,
% 183.87/183.95 ! [V_com_2,V_fun_2,V_loc_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(hAPP(V_f3_2,V_loc_2),V_fun_2),V_com_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com_2)) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_com_Orecs_I8_J,axiom,
% 183.87/183.95 ! [V_fun_2,V_pname_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = hAPP(hAPP(hAPP(V_f8_2,V_vname_2),V_pname_2),V_fun_2) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_Body__triple__valid__0,axiom,
% 183.87/183.95 ! [V_Q_2,V_pn_2,V_Pa_2,T_b] : c_Hoare__Mirabelle_Otriple__valid(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evaln__elim__cases_I2_J,axiom,
% 183.87/183.95 ! [V_t_2,V_n_2,V_s_2,V_a_2,V_X_2] :
% 183.87/183.95 ( c_Natural_Oevaln(c_Com_Ocom_OAss(V_X_2,V_a_2),V_s_2,V_n_2,V_t_2)
% 183.87/183.95 => V_t_2 = hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2)) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evaln_OAssign,axiom,
% 183.87/183.95 ! [V_n_2,V_s_2,V_a_2,V_X_2] : c_Natural_Oevaln(c_Com_Ocom_OAss(V_X_2,V_a_2),V_s_2,V_n_2,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2))) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_Body__triple__valid__Suc,axiom,
% 183.87/183.95 ! [V_Q_2,V_pn_2,V_Pa_2,V_n_2,T_b] :
% 183.87/183.95 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2))
% 183.87/183.95 <=> c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_def__nat__rec__Suc,axiom,
% 183.87/183.95 ! [V_n_2,V_h_2,V_ca_2,T_b,V_f_2] :
% 183.87/183.95 ( ! [B_n] : hAPP(V_f_2,B_n) = hAPP(c_Nat_Onat_Onat__rec(T_b,V_ca_2,V_h_2),B_n)
% 183.87/183.95 => hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_h_2,V_n_2),hAPP(V_f_2,V_n_2)) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evaln_Oequations_I2_J,axiom,
% 183.87/183.95 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : c_Natural_Oevaln(c_Com_Ocom_OAss(V_a1_2,V_a2_2),V_a3_2,V_a4_2,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a3_2),V_a1_2),hAPP(V_a2_2,V_a3_2))) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evaln_OBody,axiom,
% 183.87/183.95 ! [V_s1,V_n,V_s0,V_pn] :
% 183.87/183.95 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1)
% 183.87/183.95 => c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,hAPP(c_Nat_OSuc,V_n),V_s1) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evaln_Oequations_I9_J,axiom,
% 183.87/183.95 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] :
% 183.87/183.95 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_a1_2),V_a2_2,hAPP(c_Nat_OSuc,V_a3_2),V_a4_2)
% 183.87/183.95 <=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2)),V_a2_2,V_a3_2,V_a4_2) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 183.87/183.95 ! [V_i_2,V_inc_2,T_b] :
% 183.87/183.95 ( class_Rings_Osemiring__1(T_b)
% 183.87/183.95 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_nat__rec__0,axiom,
% 183.87/183.95 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evalc_OSkip,axiom,
% 183.87/183.95 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evalc__elim__cases_I1_J,axiom,
% 183.87/183.95 ! [V_t,V_s] :
% 183.87/183.95 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t))
% 183.87/183.95 => V_t = V_s ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evalc_OWhileFalse,axiom,
% 183.87/183.95 ! [V_ca_2,V_s_2,V_ba_2] :
% 183.87/183.95 ( ~ hBOOL(hAPP(V_ba_2,V_s_2))
% 183.87/183.95 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_ba_2,V_ca_2)),V_s_2),V_s_2)) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evalc_OWhileTrue,axiom,
% 183.87/183.95 ! [V_s2_2,V_s1_2,V_ca_2,V_s0_2,V_ba_2] :
% 183.87/183.95 ( hBOOL(hAPP(V_ba_2,V_s0_2))
% 183.87/183.95 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s0_2),V_s1_2))
% 183.87/183.95 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_ba_2,V_ca_2)),V_s1_2),V_s2_2))
% 183.87/183.95 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_ba_2,V_ca_2)),V_s0_2),V_s2_2)) ) ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evalc_OIfFalse,axiom,
% 183.87/183.95 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_ba_2] :
% 183.87/183.95 ( ~ hBOOL(hAPP(V_ba_2,V_s_2))
% 183.87/183.95 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2))
% 183.87/183.95 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_ba_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ).
% 183.87/183.95
% 183.87/183.95 fof(fact_evalc_OIfTrue,axiom,
% 183.87/183.95 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_ba_2] :
% 183.93/183.95 ( hBOOL(hAPP(V_ba_2,V_s_2))
% 183.93/183.95 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2))
% 183.93/183.95 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_ba_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_evalc__elim__cases_I5_J,axiom,
% 183.93/183.95 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_ba_2] :
% 183.93/183.95 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_ba_2,V_c1_2,V_c2_2)),V_s_2),V_t_2))
% 183.93/183.95 => ( ( hBOOL(hAPP(V_ba_2,V_s_2))
% 183.93/183.95 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) )
% 183.93/183.95 => ~ ( ~ hBOOL(hAPP(V_ba_2,V_s_2))
% 183.93/183.95 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_evalc_OSemi,axiom,
% 183.93/183.95 ! [V_s2,V_c1,V_s1,V_s0,V_c0] :
% 183.93/183.95 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1))
% 183.93/183.95 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))
% 183.93/183.95 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_evalc_OAssign,axiom,
% 183.93/183.95 ! [V_s_2,V_a_2,V_X_2] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_X_2,V_a_2)),V_s_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2)))) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_evalc__elim__cases_I2_J,axiom,
% 183.93/183.95 ! [V_t_2,V_s_2,V_a_2,V_X_2] :
% 183.93/183.95 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_X_2,V_a_2)),V_s_2),V_t_2))
% 183.93/183.95 => V_t_2 = hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2)) ) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_evalc__elim__cases_I6_J,axiom,
% 183.93/183.95 ! [V_s1,V_s,V_P] :
% 183.93/183.95 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1))
% 183.93/183.95 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_evalc_OBody,axiom,
% 183.93/183.95 ! [V_s1,V_s0,V_pn] :
% 183.93/183.95 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1))
% 183.93/183.95 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_com__det,axiom,
% 183.93/183.95 ! [V_u,V_t,V_s,V_c] :
% 183.93/183.95 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 183.93/183.95 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
% 183.93/183.95 => V_u = V_t ) ) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_evalc_Oequations_I9_J,axiom,
% 183.93/183.95 ! [V_a3_2,V_a2_2,V_a1_2] :
% 183.93/183.95 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2))
% 183.93/183.95 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2)) ) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_evalc_Oequations_I2_J,axiom,
% 183.93/183.95 ! [V_a3_2,V_a2_2,V_a1_2] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_a1_2,V_a2_2)),V_a3_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a3_2),V_a1_2),hAPP(V_a2_2,V_a3_2)))) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_Suc__neq__Zero,axiom,
% 183.93/183.95 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_Zero__neq__Suc,axiom,
% 183.93/183.95 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_nat_Osimps_I3_J,axiom,
% 183.93/183.95 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_Suc__not__Zero,axiom,
% 183.93/183.95 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_nat_Osimps_I2_J,axiom,
% 183.93/183.95 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_Zero__not__Suc,axiom,
% 183.93/183.95 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 183.93/183.95
% 183.93/183.95 fof(fact_eval__eq,axiom,
% 183.93/183.95 ! [V_t_2,V_s_2,V_ca_2] :
% 183.93/183.95 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s_2),V_t_2))
% 183.93/183.95 <=> ? [B_n] : c_Natural_Oevaln(V_ca_2,V_s_2,B_n,V_t_2) ) ).
% 183.93/183.95
% 183.93/183.96 fof(fact_evaln__evalc,axiom,
% 183.93/183.96 ! [V_t,V_n,V_s,V_c] :
% 183.93/183.96 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t)
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_evalc_Oequations_I7_J,axiom,
% 183.93/183.96 ! [V_a2_2,V_a3_2,V_a1_2] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2))
% 183.93/183.96 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.93/183.96 => ? [B_s1] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 183.93/183.96 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_evalc_Oequations_I8_J,axiom,
% 183.93/183.96 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2))
% 183.93/183.96 <=> ( ( V_a5_2 = V_a2_2
% 183.93/183.96 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 183.93/183.96 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.93/183.96 & ? [B_s1] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 183.93/183.96 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_evalc_Oequations_I5_J,axiom,
% 183.93/183.96 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a5_2)),V_a2_2),V_a4_2))
% 183.93/183.96 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.93/183.96 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) )
% 183.93/183.96 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.93/183.96 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_evalc_Oequations_I6_J,axiom,
% 183.93/183.96 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a5_2,V_a3_2)),V_a2_2),V_a4_2))
% 183.93/183.96 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.93/183.96 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) )
% 183.93/183.96 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 183.93/183.96 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_evalc_Oequations_I4_J,axiom,
% 183.93/183.96 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2))
% 183.93/183.96 <=> ? [B_s1] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1))
% 183.93/183.96 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_evalc_Oequations_I1_J,axiom,
% 183.93/183.96 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat__case__0,axiom,
% 183.93/183.96 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 183.93/183.96
% 183.93/183.96 fof(fact_triple_Osize_I1_J,axiom,
% 183.93/183.96 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_b,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_triple_Osize_I2_J,axiom,
% 183.93/183.96 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_evaln__elim__cases_I6_J,axiom,
% 183.93/183.96 ! [V_s1,V_n,V_s,V_P] :
% 183.93/183.96 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)
% 183.93/183.96 => ~ ! [B_n] :
% 183.93/183.96 ( V_n = hAPP(c_Nat_OSuc,B_n)
% 183.93/183.96 => ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_evalc__elim__cases_I4_J,axiom,
% 183.93/183.96 ! [V_t,V_s,V_c2,V_c1] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t))
% 183.93/183.96 => ~ ! [B_s1] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1))
% 183.93/183.96 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I1_J,axiom,
% 183.93/183.96 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I8_J,axiom,
% 183.93/183.96 ! [V_fun_2,V_pname_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I2_J,axiom,
% 183.93/183.96 ! [V_fun_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I7_J,axiom,
% 183.93/183.96 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I9_J,axiom,
% 183.93/183.96 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I16_J,axiom,
% 183.93/183.96 ! [V_fun_2,V_pname_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I10_J,axiom,
% 183.93/183.96 ! [V_fun_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I15_J,axiom,
% 183.93/183.96 ! [V_pname] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I11_J,axiom,
% 183.93/183.96 ! [V_com_2,V_fun_2,V_loc_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I12_J,axiom,
% 183.93/183.96 ! [V_com2,V_com1] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I3_J,axiom,
% 183.93/183.96 ! [V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I4_J,axiom,
% 183.93/183.96 ! [V_com2,V_com1] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1)),c_Com_Ocom_Ocom__size(V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I13_J,axiom,
% 183.93/183.96 ! [V_com2_2,V_com1_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1_2)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I5_J,axiom,
% 183.93/183.96 ! [V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1_2)),c_Com_Ocom_Ocom__size(V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I14_J,axiom,
% 183.93/183.96 ! [V_com_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_com_Osize_I6_J,axiom,
% 183.93/183.96 ! [V_com_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_WT_OBody,axiom,
% 183.93/183.96 ! [V_pn] :
% 183.93/183.96 ( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_ONone(tc_Com_Ocom)
% 183.93/183.96 => hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn))) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_WT_Oequations_I7_J,axiom,
% 183.93/183.96 ! [V_a_2] :
% 183.93/183.96 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))
% 183.93/183.96 <=> ? [B_y] : hAPP(c_Com_Obody,V_a_2) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__right__imp__eq,axiom,
% 183.93/183.96 ! [V_c,V_a,V_b,T_a] :
% 183.93/183.96 ( class_Groups_Ocancel__semigroup__add(T_a)
% 183.93/183.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)
% 183.93/183.96 => V_b = V_c ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__imp__eq,axiom,
% 183.93/183.96 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.96 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 183.93/183.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 183.93/183.96 => V_b = V_c ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__left__imp__eq,axiom,
% 183.93/183.96 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.96 ( class_Groups_Ocancel__semigroup__add(T_a)
% 183.93/183.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 183.93/183.96 => V_b = V_c ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__right__cancel,axiom,
% 183.93/183.96 ! [V_ca_2,V_a_2,V_ba_2,T_b] :
% 183.93/183.96 ( class_Groups_Ocancel__semigroup__add(T_b)
% 183.93/183.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ba_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)
% 183.93/183.96 <=> V_ba_2 = V_ca_2 ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__left__cancel,axiom,
% 183.93/183.96 ! [V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/183.96 ( class_Groups_Ocancel__semigroup__add(T_b)
% 183.93/183.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ba_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)
% 183.93/183.96 <=> V_ba_2 = V_ca_2 ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 183.93/183.96 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.96 ( class_Groups_Oab__semigroup__add(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat__add__commute,axiom,
% 183.93/183.96 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat__add__left__commute,axiom,
% 183.93/183.96 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_z)) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat__add__assoc,axiom,
% 183.93/183.96 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat__add__left__cancel,axiom,
% 183.93/183.96 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.96 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)
% 183.93/183.96 <=> V_m_2 = V_n_2 ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat__add__right__cancel,axiom,
% 183.93/183.96 ! [V_n_2,V_k_2,V_m_2] :
% 183.93/183.96 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)
% 183.93/183.96 <=> V_m_2 = V_n_2 ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add_Ocomm__neutral,axiom,
% 183.93/183.96 ! [V_a,T_a] :
% 183.93/183.96 ( class_Groups_Ocomm__monoid__add(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__0__right,axiom,
% 183.93/183.96 ! [V_a,T_a] :
% 183.93/183.96 ( class_Groups_Omonoid__add(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_double__zero__sym,axiom,
% 183.93/183.96 ! [V_a_2,T_b] :
% 183.93/183.96 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.96 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 183.93/183.96 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__0,axiom,
% 183.93/183.96 ! [V_a,T_a] :
% 183.93/183.96 ( class_Groups_Ocomm__monoid__add(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__0__left,axiom,
% 183.93/183.96 ! [V_a,T_a] :
% 183.93/183.96 ( class_Groups_Omonoid__add(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_plus__nat_Oadd__0,axiom,
% 183.93/183.96 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 183.93/183.96
% 183.93/183.96 fof(fact_Nat_Oadd__0__right,axiom,
% 183.93/183.96 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__is__0,axiom,
% 183.93/183.96 ! [V_n_2,V_m_2] :
% 183.93/183.96 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.96 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.96 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__eq__self__zero,axiom,
% 183.93/183.96 ! [V_n,V_m] :
% 183.93/183.96 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 183.93/183.96 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__Suc__shift,axiom,
% 183.93/183.96 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__Suc,axiom,
% 183.93/183.96 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__Suc__right,axiom,
% 183.93/183.96 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_one__is__add,axiom,
% 183.93/183.96 ! [V_n_2,V_m_2] :
% 183.93/183.96 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)
% 183.93/183.96 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/183.96 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/183.96 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.96 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__is__1,axiom,
% 183.93/183.96 ! [V_n_2,V_m_2] :
% 183.93/183.96 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/183.96 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/183.96 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/183.96 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.96 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_zero__reorient,axiom,
% 183.93/183.96 ! [V_x_2,T_b] :
% 183.93/183.96 ( class_Groups_Ozero(T_b)
% 183.93/183.96 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 183.93/183.96 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_WT__bodiesD,axiom,
% 183.93/183.96 ! [V_b,V_pn] :
% 183.93/183.96 ( c_Com_OWT__bodies
% 183.93/183.96 => ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
% 183.93/183.96 => hBOOL(hAPP(c_Com_OWT,V_b)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_WTs__elim__cases_I7_J,axiom,
% 183.93/183.96 ! [V_P] :
% 183.93/183.96 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_P)))
% 183.93/183.96 => ~ ! [B_y] : hAPP(c_Com_Obody,V_P) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_the_Osimps,axiom,
% 183.93/183.96 ! [V_x,T_a] : hAPP(c_Option_Othe(T_a),hAPP(c_Option_Ooption_OSome(T_a),V_x)) = V_x ).
% 183.93/183.96
% 183.93/183.96 fof(fact_not__None__eq,axiom,
% 183.93/183.96 ! [T_b,V_x_2] :
% 183.93/183.96 ( V_x_2 != c_Option_Ooption_ONone(T_b)
% 183.93/183.96 <=> ? [B_y] : V_x_2 = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_not__Some__eq,axiom,
% 183.93/183.96 ! [T_b,V_x_2] :
% 183.93/183.96 ( ! [B_y] : V_x_2 != hAPP(c_Option_Ooption_OSome(T_b),B_y)
% 183.93/183.96 <=> V_x_2 = c_Option_Ooption_ONone(T_b) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Osimps_I3_J,axiom,
% 183.93/183.96 ! [V_a_H,T_a] : hAPP(c_Option_Ooption_OSome(T_a),V_a_H) != c_Option_Ooption_ONone(T_a) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Osimps_I2_J,axiom,
% 183.93/183.96 ! [V_a_H,T_a] : c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Osize_I2_J,axiom,
% 183.93/183.96 ! [V_a_2,V_fa_2,T_b] : c_Option_Ooption_Ooption__size(T_b,V_fa_2,hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_double__eq__0__iff,axiom,
% 183.93/183.96 ! [V_a_2,T_b] :
% 183.93/183.96 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.96 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__0__iff,axiom,
% 183.93/183.96 ! [V_a_2,V_ba_2,T_b] :
% 183.93/183.96 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 183.93/183.96 => ( V_ba_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ba_2),V_a_2)
% 183.93/183.96 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 183.93/183.96 ! [V_a,T_a] :
% 183.93/183.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 183.93/183.96 ! [V_c,V_a,T_a] :
% 183.93/183.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 183.93/183.96 ! [V_d,V_c,V_a,T_a] :
% 183.93/183.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 183.93/183.96 ! [V_d,V_c,V_a,T_a] :
% 183.93/183.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 183.93/183.96 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 183.93/183.96 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 183.93/183.96 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Osize_I1_J,axiom,
% 183.93/183.96 ! [V_fa_2,T_b] : c_Option_Ooption_Ooption__size(T_b,V_fa_2,c_Option_Ooption_ONone(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Oinject,axiom,
% 183.93/183.96 ! [V_a_H_2,V_a_2,T_b] :
% 183.93/183.96 ( hAPP(c_Option_Ooption_OSome(T_b),V_a_2) = hAPP(c_Option_Ooption_OSome(T_b),V_a_H_2)
% 183.93/183.96 <=> V_a_2 = V_a_H_2 ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 183.93/183.96 ! [V_a,T_a] :
% 183.93/183.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat_Osize_I2_J,axiom,
% 183.93/183.96 ! [V_nat] : c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_Onat_Onat__size(V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat_Osize_I4_J,axiom,
% 183.93/183.96 ! [V_nat] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Osize_I4_J,axiom,
% 183.93/183.96 ! [V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),hAPP(c_Option_Ooption_OSome(T_a),V_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Osize_I3_J,axiom,
% 183.93/183.96 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Orecs_I2_J,axiom,
% 183.93/183.96 ! [V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Option_Ooption_Ooption__rec(T_b,T_c,V_f1_2,V_f2_2,hAPP(c_Option_Ooption_OSome(T_c),V_a_2)) = hAPP(V_f2_2,V_a_2) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Osimps_I5_J,axiom,
% 183.93/183.96 ! [V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_Option_Ooption_Ooption__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(c_Option_Ooption_OSome(T_c),V_a_2)) = hAPP(V_f2_2,V_a_2) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Orecs_I1_J,axiom,
% 183.93/183.96 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Option_Ooption_Ooption__rec(T_b,T_c,V_f1_2,V_f2_2,c_Option_Ooption_ONone(T_c)) = V_f1_2 ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Osimps_I4_J,axiom,
% 183.93/183.96 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_Option_Ooption_Ooption__case(T_b,T_c,V_f1_2,V_f2_2),c_Option_Ooption_ONone(T_c)) = V_f1_2 ).
% 183.93/183.96
% 183.93/183.96 fof(fact_bool_Osize_I1_J,axiom,
% 183.93/183.96 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_bool_Osize_I2_J,axiom,
% 183.93/183.96 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_is__none__code_I2_J,axiom,
% 183.93/183.96 ! [V_x,T_b] : ~ c_Option_Ois__none(T_b,hAPP(c_Option_Ooption_OSome(T_b),V_x)) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat__size,axiom,
% 183.93/183.96 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat_Osize_I3_J,axiom,
% 183.93/183.96 hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat_Osize_I1_J,axiom,
% 183.93/183.96 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_is__none__def,axiom,
% 183.93/183.96 ! [V_x_2,T_b] :
% 183.93/183.96 ( c_Option_Ois__none(T_b,V_x_2)
% 183.93/183.96 <=> V_x_2 = c_Option_Ooption_ONone(T_b) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_is__none__code_I1_J,axiom,
% 183.93/183.96 ! [T_a] : c_Option_Ois__none(T_a,c_Option_Ooption_ONone(T_a)) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_bool_Osize_I4_J,axiom,
% 183.93/183.96 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_bool_Osize_I3_J,axiom,
% 183.93/183.96 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_def__nat__rec__0,axiom,
% 183.93/183.96 ! [V_h_2,V_ca_2,T_b,V_f_2] :
% 183.93/183.96 ( ! [B_n] : hAPP(V_f_2,B_n) = hAPP(c_Nat_Onat_Onat__rec(T_b,V_ca_2,V_h_2),B_n)
% 183.93/183.96 => hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_ca_2 ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_evalc__WHILE__case,axiom,
% 183.93/183.96 ! [V_t_2,V_s_2,V_ca_2,V_ba_2] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_ba_2,V_ca_2)),V_s_2),V_t_2))
% 183.93/183.96 => ( ( V_t_2 = V_s_2
% 183.93/183.96 => hBOOL(hAPP(V_ba_2,V_s_2)) )
% 183.93/183.96 => ~ ( hBOOL(hAPP(V_ba_2,V_s_2))
% 183.93/183.96 => ! [B_s1] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s_2),B_s1))
% 183.93/183.96 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_ba_2,V_ca_2)),B_s1),V_t_2)) ) ) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_pair__box_Osize_I1_J,axiom,
% 183.93/183.96 ! [V_ba_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_ba_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_ba_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_evalc__evaln,axiom,
% 183.93/183.96 ! [V_t,V_s,V_c] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 183.93/183.96 => ? [B_n] : c_Natural_Oevaln(V_c,V_s,B_n,V_t) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_sum_Osize_I1_J,axiom,
% 183.93/183.96 ! [V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Sum__Type_Osum_Osum__size(T_b,T_c,V_fa_2,V_fb_2,hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_sum_Osize_I2_J,axiom,
% 183.93/183.96 ! [V_ba_2,V_fb_2,V_fa_2,T_c,T_b] : c_Sum__Type_Osum_Osum__size(T_b,T_c,V_fa_2,V_fb_2,hAPP(c_Sum__Type_OInr(T_c,T_b),V_ba_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fb_2,V_ba_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_option_Oexhaust,axiom,
% 183.93/183.96 ! [T_a,V_y] :
% 183.93/183.96 ( V_y != c_Option_Ooption_ONone(T_a)
% 183.93/183.96 => ~ ! [B_a] : V_y != hAPP(c_Option_Ooption_OSome(T_a),B_a) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_zero__less__Suc,axiom,
% 183.93/183.96 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_n))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_not0__implies__Suc,axiom,
% 183.93/183.96 ! [V_n] :
% 183.93/183.96 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.96 => ? [B_m] : V_n = hAPP(c_Nat_OSuc,B_m) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__zeroE,axiom,
% 183.93/183.96 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_lessI,axiom,
% 183.93/183.96 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_Suc__mono,axiom,
% 183.93/183.96 ! [V_n,V_m] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat__less__cases,axiom,
% 183.93/183.96 ! [V_Pa_2,V_n_2,V_m_2] :
% 183.93/183.96 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.96 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 183.93/183.96 => ( ( V_m_2 = V_n_2
% 183.93/183.96 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 183.93/183.96 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 183.93/183.96 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 183.93/183.96 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__not__refl3,axiom,
% 183.93/183.96 ! [V_t,V_s] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 183.93/183.96 => V_s != V_t ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__not__refl2,axiom,
% 183.93/183.96 ! [V_m,V_n] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 183.93/183.96 => V_m != V_n ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__irrefl__nat,axiom,
% 183.93/183.96 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_linorder__neqE__nat,axiom,
% 183.93/183.96 ! [V_y,V_x] :
% 183.93/183.96 ( V_x != V_y
% 183.93/183.96 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_nat__neq__iff,axiom,
% 183.93/183.96 ! [V_n_2,V_m_2] :
% 183.93/183.96 ( V_m_2 != V_n_2
% 183.93/183.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.96 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__not__refl,axiom,
% 183.93/183.96 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_pair__box_Oinject,axiom,
% 183.93/183.96 ! [V_b_H_2,V_a_H_2,V_ba_2,V_a_2,T_c,T_b] :
% 183.93/183.96 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_ba_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2)
% 183.93/183.96 <=> ( V_a_2 = V_a_H_2
% 183.93/183.96 & V_ba_2 = V_b_H_2 ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__less__cancel__right,axiom,
% 183.93/183.96 ! [V_ba_2,V_ca_2,V_a_2,T_b] :
% 183.93/183.96 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ba_2),V_ca_2)))
% 183.93/183.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__less__cancel__left,axiom,
% 183.93/183.96 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/183.96 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_ba_2)))
% 183.93/183.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__strict__right__mono,axiom,
% 183.93/183.96 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.96 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__strict__left__mono,axiom,
% 183.93/183.96 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.96 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__strict__mono,axiom,
% 183.93/183.96 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.96 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__less__imp__less__right,axiom,
% 183.93/183.96 ! [V_b,V_c,V_a,T_a] :
% 183.93/183.96 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__less__imp__less__left,axiom,
% 183.93/183.96 ! [V_b,V_a,V_c,T_a] :
% 183.93/183.96 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_gr0I,axiom,
% 183.93/183.96 ! [V_n] :
% 183.93/183.96 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_gr__implies__not0,axiom,
% 183.93/183.96 ! [V_n,V_m] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.96 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__nat__zero__code,axiom,
% 183.93/183.96 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_neq0__conv,axiom,
% 183.93/183.96 ! [V_n_2] :
% 183.93/183.96 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_not__less0,axiom,
% 183.93/183.96 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_not__less__eq,axiom,
% 183.93/183.96 ! [V_n_2,V_m_2] :
% 183.93/183.96 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__Suc__eq,axiom,
% 183.93/183.96 ! [V_n_2,V_m_2] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 183.93/183.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.96 | V_m_2 = V_n_2 ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_Suc__less__eq,axiom,
% 183.93/183.96 ! [V_n_2,V_m_2] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 183.93/183.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_not__less__less__Suc__eq,axiom,
% 183.93/183.96 ! [V_m_2,V_n_2] :
% 183.93/183.96 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 183.93/183.96 <=> V_n_2 = V_m_2 ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__antisym,axiom,
% 183.93/183.96 ! [V_m,V_n] :
% 183.93/183.96 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 183.93/183.96 => V_m = V_n ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__SucI,axiom,
% 183.93/183.96 ! [V_n,V_m] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_Suc__lessI,axiom,
% 183.93/183.96 ! [V_n,V_m] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.96 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__trans__Suc,axiom,
% 183.93/183.96 ! [V_k,V_j,V_i] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__SucE,axiom,
% 183.93/183.96 ! [V_n,V_m] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 183.93/183.96 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.96 => V_m = V_n ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_Suc__lessD,axiom,
% 183.93/183.96 ! [V_n,V_m] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_Suc__less__SucD,axiom,
% 183.93/183.96 ! [V_n,V_m] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__lessD1,axiom,
% 183.93/183.96 ! [V_k,V_j,V_i] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_less__add__eq__less,axiom,
% 183.93/183.96 ! [V_n,V_m,V_l,V_k] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 183.93/183.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__less__mono,axiom,
% 183.93/183.96 ! [V_l,V_k,V_j,V_i] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.93/183.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_add__less__mono1,axiom,
% 183.93/183.96 ! [V_k,V_j,V_i] :
% 183.93/183.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.93/183.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 183.93/183.96
% 183.93/183.96 fof(fact_trans__less__add2,axiom,
% 183.93/183.97 ! [V_m,V_j,V_i] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_trans__less__add1,axiom,
% 183.93/183.97 ! [V_m,V_j,V_i] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_nat__add__left__cancel__less,axiom,
% 183.93/183.97 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_not__add__less2,axiom,
% 183.93/183.97 ! [V_i,V_j] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_i)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_not__add__less1,axiom,
% 183.93/183.97 ! [V_j,V_i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_i)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_even__less__0__iff,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_add__neg__neg,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_add__pos__pos,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__Suc__eq__0__disj,axiom,
% 183.93/183.97 ! [V_n_2,V_m_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 183.93/183.97 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.97 | ? [B_j] :
% 183.93/183.97 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 183.93/183.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__Suc0,axiom,
% 183.93/183.97 ! [V_n_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 183.93/183.97 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_gr0__conv__Suc,axiom,
% 183.93/183.97 ! [V_n_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 183.93/183.97 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_add__gr__0,axiom,
% 183.93/183.97 ! [V_n_2,V_m_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)))
% 183.93/183.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 183.93/183.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__iff__Suc__add,axiom,
% 183.93/183.97 ! [V_n_2,V_m_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.97 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__add__Suc2,axiom,
% 183.93/183.97 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_i)))) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__add__Suc1,axiom,
% 183.93/183.97 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)))) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_pair__box_Osize_I2_J,axiom,
% 183.93/183.97 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_pair__box_Orecs,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_ba_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_ba_2) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_pair__box_Osimps_I2_J,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_ba_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_ba_2) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_pos__add__strict,axiom,
% 183.93/183.97 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Inl__not__Inr,axiom,
% 183.93/183.97 ! [V_b,V_a,T_b,T_a] : hAPP(c_Sum__Type_OInl(T_a,T_b),V_a) != hAPP(c_Sum__Type_OInr(T_b,T_a),V_b) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_sum_Osimps_I3_J,axiom,
% 183.93/183.97 ! [V_b_H,V_a,T_b,T_a] : hAPP(c_Sum__Type_OInl(T_a,T_b),V_a) != hAPP(c_Sum__Type_OInr(T_b,T_a),V_b_H) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Inr__not__Inl,axiom,
% 183.93/183.97 ! [V_a,V_b,T_a,T_b] : hAPP(c_Sum__Type_OInr(T_b,T_a),V_b) != hAPP(c_Sum__Type_OInl(T_a,T_b),V_a) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_sum_Osimps_I4_J,axiom,
% 183.93/183.97 ! [V_a_1,V_b_H_1,T_a_1,T_b_1] : hAPP(c_Sum__Type_OInr(T_b_1,T_a_1),V_b_H_1) != hAPP(c_Sum__Type_OInl(T_a_1,T_b_1),V_a_1) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_sum_Osize_I3_J,axiom,
% 183.93/183.97 ! [V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_sum(T_a,T_b)),hAPP(c_Sum__Type_OInl(T_a,T_b),V_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_sum_Osize_I4_J,axiom,
% 183.93/183.97 ! [V_b,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_sum(T_a,T_b)),hAPP(c_Sum__Type_OInr(T_b,T_a),V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_termination__basic__simps_I1_J,axiom,
% 183.93/183.97 ! [V_z,V_y,V_x] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_linorder__neqE__linordered__idom,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.97 => ( V_x != V_y
% 183.93/183.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Inr__inject,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a,T_b] :
% 183.93/183.97 ( hAPP(c_Sum__Type_OInr(T_b,T_a),V_x) = hAPP(c_Sum__Type_OInr(T_b,T_a),V_y)
% 183.93/183.97 => V_x = V_y ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_sum_Osimps_I2_J,axiom,
% 183.93/183.97 ! [V_b_H_2,V_ba_2,T_b,T_c] :
% 183.93/183.97 ( hAPP(c_Sum__Type_OInr(T_c,T_b),V_ba_2) = hAPP(c_Sum__Type_OInr(T_c,T_b),V_b_H_2)
% 183.93/183.97 <=> V_ba_2 = V_b_H_2 ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Inl__inject,axiom,
% 183.93/183.97 ! [V_y,V_x,T_b,T_a] :
% 183.93/183.97 ( hAPP(c_Sum__Type_OInl(T_a,T_b),V_x) = hAPP(c_Sum__Type_OInl(T_a,T_b),V_y)
% 183.93/183.97 => V_x = V_y ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_sum_Osimps_I1_J,axiom,
% 183.93/183.97 ! [V_a_H_2,V_a_2,T_c,T_b] :
% 183.93/183.97 ( hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_2) = hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_H_2)
% 183.93/183.97 <=> V_a_2 = V_a_H_2 ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_termination__basic__simps_I2_J,axiom,
% 183.93/183.97 ! [V_y,V_z,V_x] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Projl_Osimps,axiom,
% 183.93/183.97 ! [V_x,T_b,T_a] : c_Sum__Type_OProjl(T_a,T_b,hAPP(c_Sum__Type_OInl(T_a,T_b),V_x)) = V_x ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Projr_Osimps,axiom,
% 183.93/183.97 ! [V_x,T_b,T_a] : c_Sum__Type_OProjr(T_a,T_b,hAPP(c_Sum__Type_OInr(T_b,T_a),V_x)) = V_x ).
% 183.93/183.97
% 183.93/183.97 fof(fact_sum_Orecs_I1_J,axiom,
% 183.93/183.97 ! [V_a_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : c_Sum__Type_Osum_Osum__rec(T_c,T_b,T_d,V_f1_2,V_f2_2,hAPP(c_Sum__Type_OInl(T_c,T_d),V_a_2)) = hAPP(V_f1_2,V_a_2) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_sum_Orecs_I2_J,axiom,
% 183.93/183.97 ! [V_ba_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : c_Sum__Type_Osum_Osum__rec(T_c,T_b,T_d,V_f1_2,V_f2_2,hAPP(c_Sum__Type_OInr(T_d,T_c),V_ba_2)) = hAPP(V_f2_2,V_ba_2) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Suml_Osimps,axiom,
% 183.93/183.97 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_OSuml(T_c,T_b,T_d,V_f_2),hAPP(c_Sum__Type_OInl(T_c,T_d),V_x_2)) = hAPP(V_f_2,V_x_2) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Sumr_Osimps,axiom,
% 183.93/183.97 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_OSumr(T_c,T_b,T_d,V_f_2),hAPP(c_Sum__Type_OInr(T_c,T_d),V_x_2)) = hAPP(V_f_2,V_x_2) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__nat__0__less__iff,axiom,
% 183.93/183.97 ! [V_n_2,T_b] :
% 183.93/183.97 ( class_Rings_Olinordered__semidom(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__imp__Suc__add,axiom,
% 183.93/183.97 ! [V_n,V_m] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.97 => ? [B_k] : V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),B_k)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__imp__add__positive,axiom,
% 183.93/183.97 ! [V_j,V_i] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.93/183.97 => ? [B_k] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_k))
% 183.93/183.97 & hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),B_k) = V_j ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_gr0__implies__Suc,axiom,
% 183.93/183.97 ! [V_n] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.97 => ? [B_m] : V_n = hAPP(c_Nat_OSuc,B_m) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__nat__eq__iff,axiom,
% 183.93/183.97 ! [V_n_2,V_m_2,T_b] :
% 183.93/183.97 ( class_Nat_Osemiring__char__0(T_b)
% 183.93/183.97 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)
% 183.93/183.97 <=> V_m_2 = V_n_2 ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Suml__inject,axiom,
% 183.93/183.97 ! [V_g_2,V_f_2,T_c,T_d,T_b] :
% 183.93/183.97 ( c_Sum__Type_OSuml(T_b,T_d,T_c,V_f_2) = c_Sum__Type_OSuml(T_b,T_d,T_c,V_g_2)
% 183.93/183.97 => V_f_2 = V_g_2 ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Sumr__inject,axiom,
% 183.93/183.97 ! [V_g_2,V_f_2,T_b,T_d,T_c] :
% 183.93/183.97 ( c_Sum__Type_OSumr(T_c,T_d,T_b,V_f_2) = c_Sum__Type_OSumr(T_c,T_d,T_b,V_g_2)
% 183.93/183.97 => V_f_2 = V_g_2 ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_int__eq__0__conv,axiom,
% 183.93/183.97 ! [V_n_2] :
% 183.93/183.97 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.97 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_int__0,axiom,
% 183.93/183.97 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zless__iff__Suc__zadd,axiom,
% 183.93/183.97 ! [V_z_2,V_w_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 183.93/183.97 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zless__int,axiom,
% 183.93/183.97 ! [V_n_2,V_m_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zadd__int__left,axiom,
% 183.93/183.97 ! [V_z,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))),V_z) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zadd__int,axiom,
% 183.93/183.97 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zero__less__int__conv,axiom,
% 183.93/183.97 ! [V_n_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__nat__less__0__iff,axiom,
% 183.93/183.97 ! [V_m,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__nat__0,axiom,
% 183.93/183.97 ! [T_a] :
% 183.93/183.97 ( class_Rings_Osemiring__1(T_a)
% 183.93/183.97 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__nat__less__imp__less,axiom,
% 183.93/183.97 ! [V_n,V_m,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__imp__of__nat__less,axiom,
% 183.93/183.97 ! [V_n,V_m,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__nat__less__iff,axiom,
% 183.93/183.97 ! [V_n_2,V_m_2,T_b] :
% 183.93/183.97 ( class_Rings_Olinordered__semidom(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__nat__add,axiom,
% 183.93/183.97 ! [V_n,V_m,T_a] :
% 183.93/183.97 ( class_Rings_Osemiring__1(T_a)
% 183.93/183.97 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_lift__Suc__mono__less__iff,axiom,
% 183.93/183.97 ! [V_m_2,V_n_2,V_f_2,T_b] :
% 183.93/183.97 ( class_Orderings_Oorder(T_b)
% 183.93/183.97 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n))))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_n_2)),hAPP(V_f_2,V_m_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_lift__Suc__mono__less,axiom,
% 183.93/183.97 ! [V_n_H_2,V_n_2,V_f_2,T_b] :
% 183.93/183.97 ( class_Orderings_Oorder(T_b)
% 183.93/183.97 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n))))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_n_H_2))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_n_2)),hAPP(V_f_2,V_n_H_2))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 183.93/183.97 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_y)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 183.93/183.97 ! [V_y_2,V_x_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 183.93/183.97 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_order__less__irrefl,axiom,
% 183.93/183.97 ! [V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Opreorder(T_a)
% 183.93/183.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_linorder__neq__iff,axiom,
% 183.93/183.97 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.97 ( class_Orderings_Olinorder(T_b)
% 183.93/183.97 => ( V_x_2 != V_y_2
% 183.93/183.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.93/183.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_not__less__iff__gr__or__eq,axiom,
% 183.93/183.97 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.97 ( class_Orderings_Olinorder(T_b)
% 183.93/183.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.93/183.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 183.93/183.97 | V_x_2 = V_y_2 ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_linorder__less__linear,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Olinorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 | V_x = V_y
% 183.93/183.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_linorder__antisym__conv3,axiom,
% 183.93/183.97 ! [V_x_2,V_y_2,T_b] :
% 183.93/183.97 ( class_Orderings_Olinorder(T_b)
% 183.93/183.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 183.93/183.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.93/183.97 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_int__less__0__conv,axiom,
% 183.93/183.97 ! [V_k] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 183.93/183.97 ! [V_y_2,V_x_2] :
% 183.93/183.97 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)
% 183.93/183.97 <=> V_x_2 = V_y_2 ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_int__int__eq,axiom,
% 183.93/183.97 ! [V_n_2,V_m_2] :
% 183.93/183.97 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)
% 183.93/183.97 <=> V_m_2 = V_n_2 ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zadd__assoc,axiom,
% 183.93/183.97 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z2),V_z3)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zadd__left__commute,axiom,
% 183.93/183.97 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_z)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zadd__commute,axiom,
% 183.93/183.97 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zadd__0,axiom,
% 183.93/183.97 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zadd__0__right,axiom,
% 183.93/183.97 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zadd__strict__right__mono,axiom,
% 183.93/183.97 ! [V_k,V_j,V_i] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_j),V_k))) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zless__linear,axiom,
% 183.93/183.97 ! [V_y,V_x] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 183.93/183.97 | V_x = V_y
% 183.93/183.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_linorder__cases,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Olinorder(T_a)
% 183.93/183.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 => ( V_x != V_y
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_order__less__asym,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Opreorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_xt1_I10_J,axiom,
% 183.93/183.97 ! [V_z,V_x,V_y,T_a] :
% 183.93/183.97 ( class_Orderings_Oorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_order__less__trans,axiom,
% 183.93/183.97 ! [V_z,V_y,V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Opreorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_xt1_I2_J,axiom,
% 183.93/183.97 ! [V_c,V_a,V_b,T_a] :
% 183.93/183.97 ( class_Orderings_Oorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.93/183.97 => ( V_b = V_c
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_ord__less__eq__trans,axiom,
% 183.93/183.97 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.97 ( class_Orderings_Oord(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.97 => ( V_b = V_c
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_xt1_I1_J,axiom,
% 183.93/183.97 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.97 ( class_Orderings_Oorder(T_a)
% 183.93/183.97 => ( V_a = V_b
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_ord__eq__less__trans,axiom,
% 183.93/183.97 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.97 ( class_Orderings_Oord(T_a)
% 183.93/183.97 => ( V_a = V_b
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_xt1_I9_J,axiom,
% 183.93/183.97 ! [V_a,V_b,T_a] :
% 183.93/183.97 ( class_Orderings_Oorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.93/183.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_order__less__asym_H,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Orderings_Opreorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_order__less__imp__not__eq2,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Oorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 => V_y != V_x ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_order__less__imp__not__eq,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Oorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 => V_x != V_y ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_order__less__imp__not__less,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Opreorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_order__less__not__sym,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Opreorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__imp__neq,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Oorder(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 => V_x != V_y ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_linorder__neqE,axiom,
% 183.93/183.97 ! [V_y,V_x,T_a] :
% 183.93/183.97 ( class_Orderings_Olinorder(T_a)
% 183.93/183.97 => ( V_x != V_y
% 183.93/183.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zero__less__imp__eq__int,axiom,
% 183.93/183.97 ! [V_k] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 183.93/183.97 => ? [B_n] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 183.93/183.97 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__int__0__less__iff,axiom,
% 183.93/183.97 ! [V_z_2,T_b] :
% 183.93/183.97 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__int__less__0__iff,axiom,
% 183.93/183.97 ! [V_z_2,T_b] :
% 183.93/183.97 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zmult__zless__mono2__lemma,axiom,
% 183.93/183.97 ! [V_k,V_j,V_i] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_j))) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_negative__zless__0,axiom,
% 183.93/183.97 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_split__nat,axiom,
% 183.93/183.97 ! [V_i_2,V_Pa_2] :
% 183.93/183.97 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 183.93/183.97 <=> ( ! [B_n] :
% 183.93/183.97 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 183.93/183.97 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 183.93/183.97 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.97 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zero__less__nat__eq,axiom,
% 183.93/183.97 ! [V_z_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_negative__zless,axiom,
% 183.93/183.97 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_int__Suc,axiom,
% 183.93/183.97 ! [V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_odd__less__0,axiom,
% 183.93/183.97 ! [V_z_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)),V_z_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 183.93/183.97 ! [V_m,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 183.93/183.97 ! [V_a,V_m,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 183.93/183.97 ! [V_m,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__1__mult,axiom,
% 183.93/183.97 ! [V_n,V_m,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_square__eq__iff,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.97 ( class_Rings_Oidom(T_b)
% 183.93/183.97 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_ba_2)
% 183.93/183.97 <=> ( V_a_2 = V_ba_2
% 183.93/183.97 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_square__eq__1__iff,axiom,
% 183.93/183.97 ! [V_x_2,T_b] :
% 183.93/183.97 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 183.93/183.97 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 183.93/183.97 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 183.93/183.97 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__mult__minus,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Oring(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__mult__commute,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Oring(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__mult__left,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Oring(T_a)
% 183.93/183.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__mult__right,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Oring(T_a)
% 183.93/183.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 183.93/183.97 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.97 ( class_Groups_Oab__semigroup__mult(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_neg__equal__iff__equal,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_b)
% 183.93/183.97 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)
% 183.93/183.97 <=> V_a_2 = V_ba_2 ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__equation__iff,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_b)
% 183.93/183.97 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_ba_2
% 183.93/183.97 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) = V_a_2 ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_equation__minus__iff,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_b)
% 183.93/183.97 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)
% 183.93/183.97 <=> V_ba_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult_Ocomm__neutral,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Groups_Ocomm__monoid__mult(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__1__right,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Groups_Omonoid__mult(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_one__reorient,axiom,
% 183.93/183.97 ! [V_x_2,T_b] :
% 183.93/183.97 ( class_Groups_Oone(T_b)
% 183.93/183.97 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 183.93/183.97 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__1,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Groups_Ocomm__monoid__mult(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__1__left,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Groups_Omonoid__mult(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__minus,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 183.93/183.97 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 183.93/183.97 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 183.93/183.97 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 183.93/183.97 ! [V_rx,V_ly,V_lx,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zmult__assoc,axiom,
% 183.93/183.97 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 183.93/183.97 ! [V_rx,V_ly,V_lx,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__int__eq__iff,axiom,
% 183.93/183.97 ! [V_z_2,V_w_2,T_b] :
% 183.93/183.97 ( class_Int_Oring__char__0(T_b)
% 183.93/183.97 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 183.93/183.97 <=> V_w_2 = V_z_2 ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zmult__zminus,axiom,
% 183.93/183.97 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_w) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 183.93/183.97 ! [V_ry,V_rx,V_lx,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 183.93/183.97 ! [V_ry,V_rx,V_lx,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zmult__commute,axiom,
% 183.93/183.97 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zmult__1__right,axiom,
% 183.93/183.97 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zmult__1,axiom,
% 183.93/183.97 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__int__mult,axiom,
% 183.93/183.97 ! [V_z,V_w,T_a] :
% 183.93/183.97 ( class_Rings_Oring__1(T_a)
% 183.93/183.97 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__int__minus,axiom,
% 183.93/183.97 ! [V_z,T_a] :
% 183.93/183.97 ( class_Rings_Oring__1(T_a)
% 183.93/183.97 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zminus__zminus,axiom,
% 183.93/183.97 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 183.93/183.97 ! [V_x,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__ring__1(T_a)
% 183.93/183.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_x) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__int__1,axiom,
% 183.93/183.97 ! [T_a] :
% 183.93/183.97 ( class_Rings_Oring__1(T_a)
% 183.93/183.97 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__nat__mult,axiom,
% 183.93/183.97 ! [V_n,V_m,T_a] :
% 183.93/183.97 ( class_Rings_Osemiring__1(T_a)
% 183.93/183.97 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__nat__1,axiom,
% 183.93/183.97 ! [T_a] :
% 183.93/183.97 ( class_Rings_Osemiring__1(T_a)
% 183.93/183.97 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__int__of__nat,axiom,
% 183.93/183.97 ! [V_k,T_a] :
% 183.93/183.97 ( class_Rings_Oring__1(T_a)
% 183.93/183.97 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.97 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)))) )
% 183.93/183.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.97 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_nat__zminus__int,axiom,
% 183.93/183.97 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_nat__1,axiom,
% 183.93/183.97 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_pos__zmult__eq__1__iff,axiom,
% 183.93/183.97 ! [V_n_2,V_m_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 183.93/183.97 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.93/183.97 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.93/183.97 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__zero,axiom,
% 183.93/183.97 ! [T_a] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_neg__0__equal__iff__equal,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_b)
% 183.93/183.97 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 183.93/183.97 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_equal__neg__zero,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.97 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 183.93/183.97 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_neg__equal__0__iff__equal,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_b)
% 183.93/183.97 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.97 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_neg__equal__zero,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.97 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 183.93/183.97 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_neg__less__iff__less,axiom,
% 183.93/183.97 ! [V_a_2,V_ba_2,T_b] :
% 183.93/183.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__less__iff,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_ba_2))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)),V_a_2)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__minus__iff,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__add__distrib,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Groups_Oab__group__add(T_a)
% 183.93/183.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__add,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_add__minus__cancel,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__add__cancel,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__zero__left,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Rings_Omult__zero(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__zero__right,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Rings_Omult__zero(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__eq__0__iff,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.97 ( class_Rings_Oring__no__zero__divisors(T_b)
% 183.93/183.97 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.97 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.97 | V_ba_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_no__zero__divisors,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ono__zero__divisors(T_a)
% 183.93/183.97 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.97 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_divisors__zero,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ono__zero__divisors(T_a)
% 183.93/183.97 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.97 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.97 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_one__neq__zero,axiom,
% 183.93/183.97 ! [T_a] :
% 183.93/183.97 ( class_Rings_Ozero__neq__one(T_a)
% 183.93/183.97 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zero__neq__one,axiom,
% 183.93/183.97 ! [T_a] :
% 183.93/183.97 ( class_Rings_Ozero__neq__one(T_a)
% 183.93/183.97 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zminus__0,axiom,
% 183.93/183.97 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_nat__int,axiom,
% 183.93/183.97 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 183.93/183.97 ! [V_z,V_y,V_x,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_crossproduct__noteq,axiom,
% 183.93/183.97 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/183.97 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 183.93/183.97 => ( ( V_a_2 != V_ba_2
% 183.93/183.97 & V_ca_2 != V_d_2 )
% 183.93/183.97 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_ca_2)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 183.93/183.97 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 183.93/183.97 ! [V_b,V_m,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_crossproduct__eq,axiom,
% 183.93/183.97 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 183.93/183.97 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 183.93/183.97 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2))
% 183.93/183.97 <=> ( V_w_2 = V_x_2
% 183.93/183.97 | V_y_2 = V_z_2 ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__semiring__class_Odistrib,axiom,
% 183.93/183.97 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Ocomm__semiring(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_combine__common__factor,axiom,
% 183.93/183.97 ! [V_c,V_b,V_e,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Osemiring(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zminus__zadd__distrib,axiom,
% 183.93/183.97 ! [V_w,V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zadd__zmult__distrib2,axiom,
% 183.93/183.97 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zadd__zmult__distrib,axiom,
% 183.93/183.97 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_int__0__neq__1,axiom,
% 183.93/183.97 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_of__int__int__eq,axiom,
% 183.93/183.97 ! [V_n] : hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_one__less__nat__eq,axiom,
% 183.93/183.97 ! [V_z_2] :
% 183.93/183.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onat,V_z_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_neg__less__nonneg,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_neg__less__0__iff__less,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_neg__0__less__iff__less,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_less__minus__self__iff,axiom,
% 183.93/183.97 ! [V_a_2,T_b] :
% 183.93/183.97 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_minus__unique,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.97 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_ab__left__minus,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Groups_Oab__group__add(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_left__minus,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_b)
% 183.93/183.97 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)
% 183.93/183.97 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_right__minus,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_nat__0,axiom,
% 183.93/183.97 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 183.93/183.97 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_not__square__less__zero,axiom,
% 183.93/183.97 ! [V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__ring(T_a)
% 183.93/183.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__less__cancel__right__disj,axiom,
% 183.93/183.97 ! [V_ba_2,V_ca_2,V_a_2,T_b] :
% 183.93/183.97 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_ca_2)))
% 183.93/183.97 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/183.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) )
% 183.93/183.97 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) ) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__less__cancel__left__disj,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/183.97 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2)))
% 183.93/183.97 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/183.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) )
% 183.93/183.97 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) ) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__less__cancel__left__pos,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/183.97 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__pos__pos,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__pos__neg,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__pos__neg2,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zero__less__mult__pos,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_zero__less__mult__pos2,axiom,
% 183.93/183.97 ! [V_a,V_b,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__less__cancel__left__neg,axiom,
% 183.93/183.97 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/183.97 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2)))
% 183.93/183.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__neg__pos,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__neg__neg,axiom,
% 183.93/183.97 ! [V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__ring__strict(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__strict__right__mono,axiom,
% 183.93/183.97 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_mult__strict__left__mono,axiom,
% 183.93/183.97 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 183.93/183.97
% 183.93/183.97 fof(fact_comm__mult__strict__left__mono,axiom,
% 183.93/183.97 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.97 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__strict__right__mono__neg,axiom,
% 183.93/183.98 ! [V_c,V_a,V_b,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__ring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__strict__left__mono__neg,axiom,
% 183.93/183.98 ! [V_c,V_a,V_b,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__ring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_not__one__less__zero,axiom,
% 183.93/183.98 ! [T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zero__less__one,axiom,
% 183.93/183.98 ! [T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__scale__eq__noteq,axiom,
% 183.93/183.98 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 183.93/183.98 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 183.93/183.98 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.98 => ( ( V_a = V_b
% 183.93/183.98 & V_c != V_d )
% 183.93/183.98 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sum__squares__eq__zero__iff,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.98 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.98 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.98 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_less__add__one,axiom,
% 183.93/183.98 ! [V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zadd__zminus__inverse2,axiom,
% 183.93/183.98 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_negative__eq__positive,axiom,
% 183.93/183.98 ! [V_m_2,V_n_2] :
% 183.93/183.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)
% 183.93/183.98 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.98 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_not__int__zless__negative,axiom,
% 183.93/183.98 ! [V_m,V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zmult__zless__mono2,axiom,
% 183.93/183.98 ! [V_k,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_int__0__less__1,axiom,
% 183.93/183.98 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_odd__nonzero,axiom,
% 183.93/183.98 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zless__add1__eq,axiom,
% 183.93/183.98 ! [V_z_2,V_w_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 183.93/183.98 | V_w_2 = V_z_2 ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__int__0,axiom,
% 183.93/183.98 ! [T_a] :
% 183.93/183.98 ( class_Rings_Oring__1(T_a)
% 183.93/183.98 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__int__0__eq__iff,axiom,
% 183.93/183.98 ! [V_z_2,T_b] :
% 183.93/183.98 ( class_Int_Oring__char__0(T_b)
% 183.93/183.98 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 183.93/183.98 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__int__eq__0__iff,axiom,
% 183.93/183.98 ! [V_z_2,T_b] :
% 183.93/183.98 ( class_Int_Oring__char__0(T_b)
% 183.93/183.98 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.98 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__int__less__iff,axiom,
% 183.93/183.98 ! [V_z_2,V_w_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__int__add,axiom,
% 183.93/183.98 ! [V_z,V_w,T_a] :
% 183.93/183.98 ( class_Rings_Oring__1(T_a)
% 183.93/183.98 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__int__of__nat__eq,axiom,
% 183.93/183.98 ! [V_n,T_a] :
% 183.93/183.98 ( class_Rings_Oring__1(T_a)
% 183.93/183.98 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__mono__iff,axiom,
% 183.93/183.98 ! [V_w_2,V_z_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zless__nat__conj,axiom,
% 183.93/183.98 ! [V_z_2,V_w_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zless__nat__eq__int__zless,axiom,
% 183.93/183.98 ! [V_z_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_not__sum__squares__lt__zero,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__ring(T_a)
% 183.93/183.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sum__squares__gt__zero__iff,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))))
% 183.93/183.98 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.98 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zero__less__two,axiom,
% 183.93/183.98 ! [T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__nat__Suc,axiom,
% 183.93/183.98 ! [V_m,T_a] :
% 183.93/183.98 ( class_Rings_Osemiring__1(T_a)
% 183.93/183.98 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_int__Suc0__eq__1,axiom,
% 183.93/183.98 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__aux__def,axiom,
% 183.93/183.98 ! [V_n,V_i] : c_Int_Onat__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_i)),V_n) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_negD,axiom,
% 183.93/183.98 ! [V_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.98 => ? [B_n] : V_x = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn__if,axiom,
% 183.93/183.98 ! [V_x,T_a] :
% 183.93/183.98 ( class_Groups_Osgn__if(T_a)
% 183.93/183.98 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 183.93/183.98 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.98 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 183.93/183.98 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn__neg,axiom,
% 183.93/183.98 ! [V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn__1__neg,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.98 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zsgn__def,axiom,
% 183.93/183.98 ! [V_i] :
% 183.93/183.98 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.93/183.98 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.98 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 183.93/183.98 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 183.93/183.98 ! [V_z] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.93/183.98 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__less__iff,axiom,
% 183.93/183.98 ! [V_m_2,V_w_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_convex__bound__lt,axiom,
% 183.93/183.98 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 183.93/183.98 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn__1__pos,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.98 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__refl,axiom,
% 183.93/183.98 ! [V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Opreorder(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le0,axiom,
% 183.93/183.98 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_negative__zle,axiom,
% 183.93/183.98 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__le__mono,axiom,
% 183.93/183.98 ! [V_l,V_k,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__le__mono2,axiom,
% 183.93/183.98 ! [V_k,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__le__mono1,axiom,
% 183.93/183.98 ! [V_k,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__mult__assoc,axiom,
% 183.93/183.98 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__mult__eq__1__iff,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.93/183.98 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.93/183.98 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__mult__commute,axiom,
% 183.93/183.98 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__mult__1__right,axiom,
% 183.93/183.98 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__1__eq__mult__iff,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 183.93/183.98 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.93/183.98 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__mult__1,axiom,
% 183.93/183.98 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__cube,axiom,
% 183.93/183.98 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__square,axiom,
% 183.93/183.98 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__eq__self__implies__10,axiom,
% 183.93/183.98 ! [V_n,V_m] :
% 183.93/183.98 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 183.93/183.98 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.93/183.98 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__mult__le__cancel1,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zle__refl,axiom,
% 183.93/183.98 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zle__linear,axiom,
% 183.93/183.98 ! [V_w,V_z] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 183.93/183.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zle__trans,axiom,
% 183.93/183.98 ! [V_k,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zle__antisym,axiom,
% 183.93/183.98 ! [V_w,V_z] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 183.93/183.98 => V_z = V_w ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn__sgn,axiom,
% 183.93/183.98 ! [V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__fun__def,axiom,
% 183.93/183.98 ! [V_g_2,V_f_2,T_b,T_c] :
% 183.93/183.98 ( class_Orderings_Oord(T_c)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.93/183.98 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_linorder__linear,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Olinorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/183.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__eq__iff,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Orderings_Oorder(T_b)
% 183.93/183.98 => ( V_x_2 = V_y_2
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__eq__refl,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Opreorder(T_a)
% 183.93/183.98 => ( V_x = V_y
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__funD,axiom,
% 183.93/183.98 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 183.93/183.98 ( class_Orderings_Oord(T_c)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__antisym__conv,axiom,
% 183.93/183.98 ! [V_x_2,V_y_2,T_b] :
% 183.93/183.98 ( class_Orderings_Oorder(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/183.98 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_ord__eq__le__trans,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Orderings_Oord(T_a)
% 183.93/183.98 => ( V_a = V_b
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_xt1_I3_J,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( V_a = V_b
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_ord__le__eq__trans,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Orderings_Oord(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => ( V_b = V_c
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_xt1_I4_J,axiom,
% 183.93/183.98 ! [V_c,V_a,V_b,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.93/183.98 => ( V_b = V_c
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__antisym,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/183.98 => V_x = V_y ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__trans,axiom,
% 183.93/183.98 ! [V_z,V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Opreorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_xt1_I5_J,axiom,
% 183.93/183.98 ! [V_x,V_y,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/183.98 => V_x = V_y ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_xt1_I6_J,axiom,
% 183.93/183.98 ! [V_z,V_x,V_y,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__funE,axiom,
% 183.93/183.98 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 183.93/183.98 ( class_Orderings_Oord(T_c)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_linorder__le__cases,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Olinorder(T_a)
% 183.93/183.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__nat__le__iff,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__semidom(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zle__int,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__int__le__iff,axiom,
% 183.93/183.98 ! [V_z_2,V_w_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_one__le__mult__iff,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m_2))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__le__cancel1,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__le__cancel2,axiom,
% 183.93/183.98 ! [V_n_2,V_k_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_xt1_I8_J,axiom,
% 183.93/183.98 ! [V_z,V_x,V_y,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__le__less__trans,axiom,
% 183.93/183.98 ! [V_z,V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Opreorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_xt1_I7_J,axiom,
% 183.93/183.98 ! [V_z,V_x,V_y,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__less__le__trans,axiom,
% 183.93/183.98 ! [V_z,V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Opreorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_xt1_I11_J,axiom,
% 183.93/183.98 ! [V_a,V_b,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.93/183.98 => ( V_a != V_b
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__le__neq__trans,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => ( V_a != V_b
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__le__imp__less__or__eq,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.98 | V_x = V_y ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_linorder__antisym__conv2,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Orderings_Olinorder(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/183.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.93/183.98 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__less__imp__le,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Opreorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_leD,axiom,
% 183.93/183.98 ! [V_x,V_y,T_a] :
% 183.93/183.98 ( class_Orderings_Olinorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/183.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_xt1_I12_J,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( V_a != V_b
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__neq__le__trans,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Orderings_Oorder(T_a)
% 183.93/183.98 => ( V_a != V_b
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_linorder__antisym__conv1,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Orderings_Olinorder(T_b)
% 183.93/183.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/183.98 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_not__leE,axiom,
% 183.93/183.98 ! [V_x,V_y,T_a] :
% 183.93/183.98 ( class_Orderings_Olinorder(T_a)
% 183.93/183.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_leI,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Olinorder(T_a)
% 183.93/183.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__le__less,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Orderings_Oorder(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.93/183.98 | V_x_2 = V_y_2 ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_less__le__not__le,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Orderings_Opreorder(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/183.98 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_order__less__le,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Orderings_Oorder(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/183.98 & V_x_2 != V_y_2 ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_linorder__le__less__linear,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Orderings_Olinorder(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/183.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_linorder__not__le,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Orderings_Olinorder(T_b)
% 183.93/183.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_linorder__not__less,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Orderings_Olinorder(T_b)
% 183.93/183.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__le__imp__le__left,axiom,
% 183.93/183.98 ! [V_b,V_a,V_c,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__le__imp__le__right,axiom,
% 183.93/183.98 ! [V_b,V_c,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__mono,axiom,
% 183.93/183.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__left__mono,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__right__mono,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__le__cancel__left,axiom,
% 183.93/183.98 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/183.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_ba_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__le__cancel__right,axiom,
% 183.93/183.98 ! [V_ba_2,V_ca_2,V_a_2,T_b] :
% 183.93/183.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ba_2),V_ca_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__0,axiom,
% 183.93/183.98 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__0__right,axiom,
% 183.93/183.98 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__is__0,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.98 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.98 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__cancel1,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 183.93/183.98 <=> ( V_m_2 = V_n_2
% 183.93/183.98 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__cancel2,axiom,
% 183.93/183.98 ! [V_n_2,V_k_2,V_m_2] :
% 183.93/183.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)
% 183.93/183.98 <=> ( V_m_2 = V_n_2
% 183.93/183.98 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__mult__cancel1,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)
% 183.93/183.98 <=> V_m_2 = V_n_2 ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 183.93/183.98 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__0__eq,axiom,
% 183.93/183.98 ! [V_n_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 183.93/183.98 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__minus__iff,axiom,
% 183.93/183.98 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.98 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_minus__le__iff,axiom,
% 183.93/183.98 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.98 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_ba_2))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)),V_a_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_neg__le__iff__le,axiom,
% 183.93/183.98 ! [V_a_2,V_ba_2,T_b] :
% 183.93/183.98 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__imp__neg__le,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__ab__group__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__mult__distrib2,axiom,
% 183.93/183.98 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__mult__distrib,axiom,
% 183.93/183.98 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__leD,axiom,
% 183.93/183.98 ! [V_n,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__SucE,axiom,
% 183.93/183.98 ! [V_n,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 183.93/183.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.98 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__SucI,axiom,
% 183.93/183.98 ! [V_n,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__le__mono,axiom,
% 183.93/183.98 ! [V_m_2,V_n_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Nat_OSuc,V_m_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__Suc__eq,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.98 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_not__less__eq__eq,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__n__not__le__n,axiom,
% 183.93/183.98 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 183.93/183.98 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_termination__basic__simps_I5_J,axiom,
% 183.93/183.98 ! [V_y,V_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__less__le,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.98 & V_m_2 != V_n_2 ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__eq__less__or__eq,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.98 | V_m_2 = V_n_2 ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_less__imp__le__nat,axiom,
% 183.93/183.98 ! [V_n,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__neq__implies__less,axiom,
% 183.93/183.98 ! [V_n,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.98 => ( V_m != V_n
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_less__or__eq__imp__le,axiom,
% 183.93/183.98 ! [V_n,V_m] :
% 183.93/183.98 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.98 | V_m = V_n )
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_termination__basic__simps_I4_J,axiom,
% 183.93/183.98 ! [V_y,V_z,V_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_termination__basic__simps_I3_J,axiom,
% 183.93/183.98 ! [V_z,V_y,V_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__add2,axiom,
% 183.93/183.98 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__add1,axiom,
% 183.93/183.98 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__iff__add,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.98 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__add__left__cancel__le,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_trans__le__add1,axiom,
% 183.93/183.98 ! [V_m,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_trans__le__add2,axiom,
% 183.93/183.98 ! [V_m,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__le__mono1,axiom,
% 183.93/183.98 ! [V_k,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__le__mono,axiom,
% 183.93/183.98 ! [V_l,V_k,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__leD2,axiom,
% 183.93/183.98 ! [V_n,V_k,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__leD1,axiom,
% 183.93/183.98 ! [V_n,V_k,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__leE,axiom,
% 183.93/183.98 ! [V_n,V_k,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 183.93/183.98 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zless__le,axiom,
% 183.93/183.98 ! [V_w_2,V_z_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 183.93/183.98 & V_z_2 != V_w_2 ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zadd__left__mono,axiom,
% 183.93/183.98 ! [V_k,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_j))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_evaln__nonstrict,axiom,
% 183.93/183.98 ! [V_m,V_t,V_n,V_s,V_c] :
% 183.93/183.98 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/183.98 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__le__eq__zle,axiom,
% 183.93/183.98 ! [V_z_2,V_w_2] :
% 183.93/183.98 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.93/183.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 183.93/183.98 ! [V_y,V_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__mult__distrib,axiom,
% 183.93/183.98 ! [V_z_H,V_z] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.93/183.98 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__int__0__le__iff,axiom,
% 183.93/183.98 ! [V_z_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__int__le__0__iff,axiom,
% 183.93/183.98 ! [V_z_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn__0__0,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.98 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.98 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn0,axiom,
% 183.93/183.98 ! [T_a] :
% 183.93/183.98 ( class_Groups_Osgn__if(T_a)
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn__times,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__mult__distrib__neg,axiom,
% 183.93/183.98 ! [V_z_H,V_z] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.98 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z))),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_H))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__nonneg__nonneg,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__nonneg__eq__0__iff,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 183.93/183.98 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.98 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.98 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__increasing,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__increasing2,axiom,
% 183.93/183.98 ! [V_a,V_b,V_c,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__nonpos__nonpos,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_split__mult__neg__le,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__cancel__semiring(T_a)
% 183.93/183.98 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 183.93/183.98 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_split__mult__pos__le,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__ring(T_a)
% 183.93/183.98 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 183.93/183.98 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__mono,axiom,
% 183.93/183.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__mono_H,axiom,
% 183.93/183.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__left__mono__neg,axiom,
% 183.93/183.98 ! [V_c,V_a,V_b,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__ring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__right__mono__neg,axiom,
% 183.93/183.98 ! [V_c,V_a,V_b,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__ring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_comm__mult__left__mono,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__comm__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__left__mono,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__right__mono,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__nonpos__nonpos,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__ring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__nonpos__nonneg,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__cancel__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__nonneg__nonpos2,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__cancel__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__nonneg__nonpos,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__cancel__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__nonneg__nonneg,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Oordered__cancel__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__le__0__iff,axiom,
% 183.93/183.98 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.98 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 183.93/183.98 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zero__le__mult__iff,axiom,
% 183.93/183.98 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2)))
% 183.93/183.98 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) )
% 183.93/183.98 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zero__le__square,axiom,
% 183.93/183.98 ! [V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__ring(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__le__less__mono,axiom,
% 183.93/183.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__less__le__mono,axiom,
% 183.93/183.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zero__le__one,axiom,
% 183.93/183.98 ! [T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_not__one__le__zero,axiom,
% 183.93/183.98 ! [T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_neg__0__le__iff__le,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__minus__self__iff,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_neg__le__0__iff__le,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_minus__le__self__iff,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__eq__1__iff,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/183.98 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/183.98 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__nat__0__le__iff,axiom,
% 183.93/183.98 ! [V_n,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zero__le__imp__of__nat,axiom,
% 183.93/183.98 ! [V_m,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__0__less__mult__iff,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__less__cancel1,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__less__cancel2,axiom,
% 183.93/183.98 ! [V_n_2,V_k_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)))
% 183.93/183.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__less__mono1,axiom,
% 183.93/183.98 ! [V_k,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__less__mono2,axiom,
% 183.93/183.98 ! [V_k,V_j,V_i] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__mult__less__cancel1,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__Suc__right,axiom,
% 183.93/183.98 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__Suc,axiom,
% 183.93/183.98 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_One__nat__def,axiom,
% 183.93/183.98 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_less__eq__Suc__le,axiom,
% 183.93/183.98 ! [V_m_2,V_n_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_less__Suc__eq__le,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__le__eq,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__imp__less__Suc,axiom,
% 183.93/183.98 ! [V_n,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__leI,axiom,
% 183.93/183.98 ! [V_n,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__less__Suc__eq,axiom,
% 183.93/183.98 ! [V_n_2,V_m_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 183.93/183.98 <=> V_n_2 = V_m_2 ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__le__lessD,axiom,
% 183.93/183.98 ! [V_n,V_m] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__eq__plus1__left,axiom,
% 183.93/183.98 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Suc__eq__plus1,axiom,
% 183.93/183.98 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 183.93/183.98 ! [V_y,V_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 183.93/183.98 ! [V_z] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 183.93/183.98 ! [V_Pa_2] :
% 183.93/183.98 ( ? [B_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.93/183.98 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.93/183.98 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 183.93/183.98 ! [V_Pa_2] :
% 183.93/183.98 ( ! [B_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.93/183.98 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.93/183.98 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zero__zle__int,axiom,
% 183.93/183.98 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 183.93/183.98 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_ex__nat,axiom,
% 183.93/183.98 ! [V_Pa_2] :
% 183.93/183.98 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.93/183.98 <=> ? [B_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.93/183.98 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_all__nat,axiom,
% 183.93/183.98 ! [V_Pa_2] :
% 183.93/183.98 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.93/183.98 <=> ! [B_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.93/183.98 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 183.93/183.98 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 183.93/183.98 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_eq__nat__nat__iff,axiom,
% 183.93/183.98 ! [V_z_H_2,V_z_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 183.93/183.98 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 183.93/183.98 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zadd__zless__mono,axiom,
% 183.93/183.98 ! [V_z,V_z_H,V_w,V_w_H] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_H),V_z_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 183.93/183.98 ! [V_y,V_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 183.93/183.98 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zmult__int,axiom,
% 183.93/183.98 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_int__mult,axiom,
% 183.93/183.98 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zle__iff__zadd,axiom,
% 183.93/183.98 ! [V_z_2,V_w_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 183.93/183.98 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 183.93/183.98 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_int__1,axiom,
% 183.93/183.98 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 183.93/183.98 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__pos__nonneg,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__nonneg__pos,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__strict__increasing,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__strict__increasing2,axiom,
% 183.93/183.98 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__neg__nonpos,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add__nonpos__neg,axiom,
% 183.93/183.98 ! [V_b,V_a,T_a] :
% 183.93/183.98 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__left__le__imp__le,axiom,
% 183.93/183.98 ! [V_b,V_a,V_c,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__right__le__imp__le,axiom,
% 183.93/183.98 ! [V_b,V_c,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__less__imp__less__left,axiom,
% 183.93/183.98 ! [V_b,V_a,V_c,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__left__less__imp__less,axiom,
% 183.93/183.98 ! [V_b,V_a,V_c,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__less__imp__less__right,axiom,
% 183.93/183.98 ! [V_b,V_c,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__right__less__imp__less,axiom,
% 183.93/183.98 ! [V_b,V_c,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__le__less__imp__less,axiom,
% 183.93/183.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__less__le__imp__less,axiom,
% 183.93/183.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__strict__mono_H,axiom,
% 183.93/183.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__strict__mono,axiom,
% 183.93/183.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring__strict(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__le__cancel__left__neg,axiom,
% 183.93/183.98 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_a_2)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__le__cancel__left__pos,axiom,
% 183.93/183.98 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sum__squares__le__zero__iff,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__ring__strict(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.98 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.98 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sum__squares__ge__zero,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__ring(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__left__le__one__le,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)),V_x)) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_mult__right__le__one__le,axiom,
% 183.93/183.98 ! [V_y,V_x,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_x)) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn__less,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn__greater,axiom,
% 183.93/183.98 ! [V_a_2,T_b] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_one__less__mult,axiom,
% 183.93/183.98 ! [V_m,V_n] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_n__less__n__mult__m,axiom,
% 183.93/183.98 ! [V_m,V_n] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_n__less__m__mult__n,axiom,
% 183.93/183.98 ! [V_m,V_n] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_int__le__0__conv,axiom,
% 183.93/183.98 ! [V_n_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.98 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__0__iff,axiom,
% 183.93/183.98 ! [V_i_2] :
% 183.93/183.98 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__le__0,axiom,
% 183.93/183.98 ! [V_z] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.98 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_int__one__le__iff__zero__less,axiom,
% 183.93/183.98 ! [V_z_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__0__le,axiom,
% 183.93/183.98 ! [V_z] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.93/183.98 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_int__eq__iff,axiom,
% 183.93/183.98 ! [V_z_2,V_m_2] :
% 183.93/183.98 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 183.93/183.98 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 183.93/183.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_int__nat__eq,axiom,
% 183.93/183.98 ! [V_z] :
% 183.93/183.98 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.93/183.98 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 183.93/183.98 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.93/183.98 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zless__imp__add1__zle,axiom,
% 183.93/183.98 ! [V_z,V_w] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_add1__zle__eq,axiom,
% 183.93/183.98 ! [V_z_2,V_w_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z_2))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zle__add1__eq__le,axiom,
% 183.93/183.98 ! [V_z_2,V_w_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_int__zle__neg,axiom,
% 183.93/183.98 ! [V_m_2,V_n_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))
% 183.93/183.98 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.98 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_negative__zle__0,axiom,
% 183.93/183.98 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_convex__bound__le,axiom,
% 183.93/183.98 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__semiring__1(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 183.93/183.98 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__less__eq__zless,axiom,
% 183.93/183.98 ! [V_z_2,V_w_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 183.93/183.98 ! [V_y_2,V_x_2] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 183.93/183.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__eq__iff,axiom,
% 183.93/183.98 ! [V_m_2,V_w_2] :
% 183.93/183.98 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 183.93/183.98 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.93/183.98 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 183.93/183.98 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.93/183.98 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__eq__iff2,axiom,
% 183.93/183.98 ! [V_w_2,V_m_2] :
% 183.93/183.98 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 183.93/183.98 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.93/183.98 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 183.93/183.98 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 183.93/183.98 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_nat__add__distrib,axiom,
% 183.93/183.98 ! [V_z_H,V_z] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 183.93/183.98 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 183.93/183.98 ! [V_y,V_x] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.98 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_le__imp__0__less,axiom,
% 183.93/183.98 ! [V_z] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z))) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_not__zle__0__negative,axiom,
% 183.93/183.98 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_of__nat__nat,axiom,
% 183.93/183.98 ! [V_z,T_a] :
% 183.93/183.98 ( class_Rings_Oring__1(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.93/183.98 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_sgn__pos,axiom,
% 183.93/183.98 ! [V_a,T_a] :
% 183.93/183.98 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.98 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_self__quotient__aux2,axiom,
% 183.93/183.98 ! [V_q,V_r,V_a] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/183.98 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_self__quotient__aux1,axiom,
% 183.93/183.98 ! [V_q,V_r,V_a] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/183.98 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_q__pos__lemma,axiom,
% 183.93/183.98 ! [V_r_H,V_q_H,V_b_H] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_q__neg__lemma,axiom,
% 183.93/183.98 ! [V_r_H,V_q_H,V_b_H] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_unique__quotient__lemma,axiom,
% 183.93/183.98 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_zdiv__mono2__lemma,axiom,
% 183.93/183.98 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 183.93/183.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.93/183.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 183.93/183.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 183.93/183.98
% 183.93/183.98 fof(fact_unique__quotient__lemma__neg,axiom,
% 183.93/183.98 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 183.93/183.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 183.93/183.99 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 183.93/183.99 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__mult__le__cancel1,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__refl,axiom,
% 183.93/183.99 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__le__linear,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_eq__imp__le,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( V_m = V_n
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__trans,axiom,
% 183.93/183.99 ! [V_k,V_j,V_i] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__antisym,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/183.99 => V_m = V_n ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_less__fun__def,axiom,
% 183.93/183.99 ! [V_g_2,V_f_2,T_b,T_c] :
% 183.93/183.99 ( class_Orderings_Oord(T_c)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.93/183.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 183.93/183.99 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.99 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 183.93/183.99 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 | V_m_2 = V_n_2 ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_left__add__mult__distrib,axiom,
% 183.93/183.99 ! [V_k,V_j,V_u,V_i] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_u)),V_k) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__mult__eq__cancel1,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 183.93/183.99 <=> V_m_2 = V_n_2 ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__mult__less__cancel1,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_transfer__morphism__nat__int,axiom,
% 183.93/183.99 c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_compl__le__compl__iff,axiom,
% 183.93/183.99 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.99 ( class_Lattices_Oboolean__algebra(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_compl__mono,axiom,
% 183.93/183.99 ! [V_y,V_x,T_a] :
% 183.93/183.99 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_ex__least__nat__less,axiom,
% 183.93/183.99 ! [V_n_2,V_Pa_2] :
% 183.93/183.99 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 183.93/183.99 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 183.93/183.99 => ? [B_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 183.93/183.99 & ! [B_i] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 183.93/183.99 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 183.93/183.99 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_divmod__int__rel__mod__eq,axiom,
% 183.93/183.99 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 183.93/183.99 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_q_1)),V_y)
% 183.93/183.99 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 183.93/183.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 183.93/183.99 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmult2__lemma__aux2,axiom,
% 183.93/183.99 ! [V_q,V_r,V_b,V_c] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmult2__lemma__aux1,axiom,
% 183.93/183.99 ! [V_q,V_r,V_b,V_c] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmult2__lemma__aux4,axiom,
% 183.93/183.99 ! [V_q,V_b,V_r,V_c] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mod__trivial,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__0,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__by__0,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__self,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__add__self2,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__add__self1,axiom,
% 183.93/183.99 ! [V_a,V_b,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__add__right__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__add__left__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__add__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__simps_I2_J,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__simps_I1_J,axiom,
% 183.93/183.99 ! [V_b,V_c,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__add__cong,axiom,
% 183.93/183.99 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 183.93/183.99 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__right__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__left__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__mult1,axiom,
% 183.93/183.99 ! [V_b,V_a,V_c,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__mult2,axiom,
% 183.93/183.99 ! [V_b,V_c,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__simps_I4_J,axiom,
% 183.93/183.99 ! [V_b,V_c,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__cong,axiom,
% 183.93/183.99 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 183.93/183.99 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__minus__eq,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Oring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__minus__cong,axiom,
% 183.93/183.99 ! [V_a_H,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Oring__div(T_a)
% 183.93/183.99 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_H),V_b) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zero,axiom,
% 183.93/183.99 ! [V_b] : c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__self,axiom,
% 183.93/183.99 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__simps_I3_J,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zmult1__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zminus__zmod,axiom,
% 183.93/183.99 ! [V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_x),V_m) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zminus__zminus,axiom,
% 183.93/183.99 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zminus2,axiom,
% 183.93/183.99 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__self2__is__0,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__self1__is__0,axiom,
% 183.93/183.99 ! [V_a,V_b,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__self2,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__self1,axiom,
% 183.93/183.99 ! [V_b,V_c,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__by__1,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__le__nonneg__dividend,axiom,
% 183.93/183.99 ! [V_k,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_k)),V_m)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 183.93/183.99 ! [V_y,V_x] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_neg__mod__bound,axiom,
% 183.93/183.99 ! [V_a,V_b] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_pos__mod__bound,axiom,
% 183.93/183.99 ! [V_a,V_b] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__eq__0__iff,axiom,
% 183.93/183.99 ! [V_d_2,V_m_2] :
% 183.93/183.99 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zminus2__not__zero,axiom,
% 183.93/183.99 ! [V_l,V_k] :
% 183.93/183.99 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zminus1__not__zero,axiom,
% 183.93/183.99 ! [V_l,V_k] :
% 183.93/183.99 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k),V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__neg__neg__trivial,axiom,
% 183.93/183.99 ! [V_b,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_neg__mod__conj,axiom,
% 183.93/183.99 ! [V_a,V_b] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_neg__mod__sign,axiom,
% 183.93/183.99 ! [V_a,V_b] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__pos__pos__trivial,axiom,
% 183.93/183.99 ! [V_b,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_pos__mod__conj,axiom,
% 183.93/183.99 ! [V_a,V_b] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_pos__mod__sign,axiom,
% 183.93/183.99 ! [V_a,V_b] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mult__left__idem,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mult__idem,axiom,
% 183.93/183.99 ! [V_x,T_a] :
% 183.93/183.99 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_times_Oidem,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_compl__eq__compl__iff,axiom,
% 183.93/183.99 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.99 ( class_Lattices_Oboolean__algebra(T_b)
% 183.93/183.99 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 183.93/183.99 <=> V_x_2 = V_y_2 ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_uminus__apply,axiom,
% 183.93/183.99 ! [V_x_2,V_A_2,T_c,T_b] :
% 183.93/183.99 ( class_Groups_Ouminus(T_b)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_double__compl,axiom,
% 183.93/183.99 ! [V_x,T_a] :
% 183.93/183.99 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/183.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__pos__neg__trivial,axiom,
% 183.93/183.99 ! [V_b,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_split__zmod,axiom,
% 183.93/183.99 ! [V_k_2,V_n_2,V_Pa_2] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 183.93/183.99 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 183.93/183.99 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.93/183.99 => ! [B_i,B_j] :
% 183.93/183.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 183.93/183.99 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 183.93/183.99 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ! [B_i,B_j] :
% 183.93/183.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmult2__lemma__aux3,axiom,
% 183.93/183.99 ! [V_q,V_b,V_r,V_c] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_z3mod__def,axiom,
% 183.93/183.99 ! [V_k,V_l] :
% 183.93/183.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.93/183.99 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 183.93/183.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.93/183.99 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_split__pos__lemma,axiom,
% 183.93/183.99 ! [V_n_2,V_Pa_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 183.93/183.99 <=> ! [B_i,B_j] :
% 183.93/183.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 183.93/183.99 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 183.93/183.99 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_split__neg__lemma,axiom,
% 183.93/183.99 ! [V_n_2,V_Pa_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 183.93/183.99 <=> ! [B_i,B_j] :
% 183.93/183.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 183.93/183.99 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zmult2__eq,axiom,
% 183.93/183.99 ! [V_b,V_a,V_c] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 183.93/183.99 ! [V_y,V_x] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(V_x,V_y))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_split__zdiv,axiom,
% 183.93/183.99 ! [V_k_2,V_n_2,V_Pa_2] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 183.93/183.99 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/183.99 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.93/183.99 => ! [B_i] :
% 183.93/183.99 ( ? [B_j] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 183.93/183.99 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 183.93/183.99 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ! [B_i] :
% 183.93/183.99 ( ? [B_j] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_divmod__int__rel__div__eq,axiom,
% 183.93/183.99 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 183.93/183.99 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1)
% 183.93/183.99 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 183.93/183.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 183.93/183.99 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_split__div_H,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_Pa_2] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 183.93/183.99 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 183.93/183.99 | ? [B_q] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),B_q)),V_m_2))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,B_q))))
% 183.93/183.99 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__add1__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 183.93/183.99 ! [V_y,V_x] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_x),V_y)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__int,axiom,
% 183.93/183.99 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult2__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult1__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__le__mono,axiom,
% 183.93/183.99 ! [V_k,V_n,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),V_k))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__le__dividend,axiom,
% 183.93/183.99 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__zero,axiom,
% 183.93/183.99 ! [V_b] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 183.93/183.99 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult2__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)),V_c) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__less,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__less__eq__dividend,axiom,
% 183.93/183.99 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_m)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__distrib,axiom,
% 183.93/183.99 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_k) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__distrib2,axiom,
% 183.93/183.99 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__zminus2,axiom,
% 183.93/183.99 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__zminus__zminus,axiom,
% 183.93/183.99 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__0,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__by__0,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__by__1,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__div__distrib,axiom,
% 183.93/183.99 ! [V_y,V_x] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.99 => hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 183.93/183.99 ! [V_y,V_x] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__1,axiom,
% 183.93/183.99 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__less,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__mult__div__cancel__disj,axiom,
% 183.93/183.99 ! [V_n,V_m,V_k] :
% 183.93/183.99 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/183.99 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__Suc,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/183.99 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__1,axiom,
% 183.93/183.99 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 183.93/183.99 ! [V_y,V_x] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__less__divisor,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 183.93/183.99 ! [V_a_2,V_ba_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 183.93/183.99 ! [V_a_2,V_ba_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__neg__pos__less0,axiom,
% 183.93/183.99 ! [V_b,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__self,axiom,
% 183.93/183.99 ! [V_a] :
% 183.93/183.99 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__eq__0__iff,axiom,
% 183.93/183.99 ! [V_d_2,V_m_2] :
% 183.93/183.99 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_DIVISION__BY__ZERO,axiom,
% 183.93/183.99 ! [V_a] :
% 183.93/183.99 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zdiv__trivial,axiom,
% 183.93/183.99 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__self3,axiom,
% 183.93/183.99 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__zadd1__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 183.93/183.99 ! [V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__int,axiom,
% 183.93/183.99 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult__mult1,axiom,
% 183.93/183.99 ! [V_b,V_a,V_c,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult__mult2,axiom,
% 183.93/183.99 ! [V_b,V_a,V_c,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult__self1__is__id,axiom,
% 183.93/183.99 ! [V_a,V_b,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),V_b) = V_a ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult__self2__is__id,axiom,
% 183.93/183.99 ! [V_a,V_b,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_b) = V_a ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult__mult1__if,axiom,
% 183.93/183.99 ! [V_b,V_a,V_c,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = c_Groups_Ozero__class_Ozero(T_a) )
% 183.93/183.99 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__self,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__div__trivial,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__le__mono2,axiom,
% 183.93/183.99 ! [V_k,V_n,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_n)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_m))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult__self__is__m,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult__self1__is__m,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__mult__div__cancel1,axiom,
% 183.93/183.99 ! [V_n,V_m,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__less__dividend,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__eq__0__iff,axiom,
% 183.93/183.99 ! [V_k_2,V_i_2] :
% 183.93/183.99 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 183.93/183.99 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 183.93/183.99 ! [V_a_2,V_ba_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_ba_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 183.93/183.99 ! [V_i_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 183.93/183.99 ! [V_ba_2,V_a_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_ba_2)))
% 183.93/183.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),V_a_2))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__mono2,axiom,
% 183.93/183.99 ! [V_b,V_b_H,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H))) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__nonneg__neg__le0,axiom,
% 183.93/183.99 ! [V_b,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__pos__pos__trivial,axiom,
% 183.93/183.99 ! [V_b,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 183.93/183.99 ! [V_a_2,V_ba_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_ba_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__nonpos__pos__le0,axiom,
% 183.93/183.99 ! [V_b,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__mono2__neg,axiom,
% 183.93/183.99 ! [V_b,V_b_H,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__neg__neg__trivial,axiom,
% 183.93/183.99 ! [V_b,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__mono1,axiom,
% 183.93/183.99 ! [V_b,V_a_H,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__mono1__neg,axiom,
% 183.93/183.99 ! [V_b,V_a_H,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__le__divisor,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_int__div__less__self,axiom,
% 183.93/183.99 ! [V_k,V_x] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_k)),V_x)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__zmult2__eq,axiom,
% 183.93/183.99 ! [V_b,V_a,V_c] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__mult__self4,axiom,
% 183.93/183.99 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m)),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__zmod__equality2,axiom,
% 183.93/183.99 ! [V_k,V_b,V_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__zmod__equality,axiom,
% 183.93/183.99 ! [V_k,V_a,V_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__zmult1__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zdiv__equality,axiom,
% 183.93/183.99 ! [V_b,V_a] : V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult__self1,axiom,
% 183.93/183.99 ! [V_c,V_a,V_b,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mult__self2,axiom,
% 183.93/183.99 ! [V_c,V_a,V_b,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__add__self1,axiom,
% 183.93/183.99 ! [V_a,V_b,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__add__self2,axiom,
% 183.93/183.99 ! [V_a,V_b,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mod__equality,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mod__equality2,axiom,
% 183.93/183.99 ! [V_c,V_a,V_b,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__div__equality,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__div__equality2,axiom,
% 183.93/183.99 ! [V_a,V_b,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)) = V_a ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_split__div,axiom,
% 183.93/183.99 ! [V_k_2,V_n_2,V_Pa_2] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 183.93/183.99 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 183.93/183.99 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => ! [B_i,B_j] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 183.93/183.99 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__lemma,axiom,
% 183.93/183.99 ! [V_q,V_b,V_r,V_c] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_split__mod,axiom,
% 183.93/183.99 ! [V_k_2,V_n_2,V_Pa_2] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 183.93/183.99 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 183.93/183.99 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => ! [B_i,B_j] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 183.93/183.99 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Suc__times__mod__eq,axiom,
% 183.93/183.99 ! [V_m,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),V_k) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__mod__distrib,axiom,
% 183.93/183.99 ! [V_y,V_x] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.99 => hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 183.93/183.99 ! [V_y,V_x] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_split__div__lemma,axiom,
% 183.93/183.99 ! [V_m_2,V_q_2,V_n_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 183.93/183.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_q_2)),V_m_2))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_q_2)))) )
% 183.93/183.99 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_z3div__def,axiom,
% 183.93/183.99 ! [V_k,V_l] :
% 183.93/183.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.93/183.99 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 183.93/183.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.93/183.99 => c_SMT_Oz3div(V_k,V_l) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__zminus1__eq__if,axiom,
% 183.93/183.99 ! [V_a,V_b] :
% 183.93/183.99 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 183.93/183.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiv__zminus2__eq__if,axiom,
% 183.93/183.99 ! [V_a,V_b] :
% 183.93/183.99 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 183.93/183.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__div__geq,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__div__decomp,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Osemiring__div(T_a)
% 183.93/183.99 => V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 183.93/183.99 ! [V_y,V_x] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_incr__mult__lemma,axiom,
% 183.93/183.99 ! [V_k_2,V_Pa_2,V_d_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 183.93/183.99 => ( ! [B_x] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.93/183.99 => ! [B_x] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_field__le__mult__one__interval,axiom,
% 183.93/183.99 ! [V_y,V_x,T_a] :
% 183.93/183.99 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.93/183.99 => ( ! [B_z] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_z),V_x)),V_y)) ) )
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__commute,axiom,
% 183.93/183.99 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_k)),V_j) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__eq__diff__eq,axiom,
% 183.93/183.99 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Oab__group__add(T_b)
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 183.93/183.99 => ( V_a_2 = V_ba_2
% 183.93/183.99 <=> V_ca_2 = V_d_2 ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_of__int__diff,axiom,
% 183.93/183.99 ! [V_z,V_w,T_a] :
% 183.93/183.99 ( class_Rings_Oring__1(T_a)
% 183.93/183.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_minus__apply,axiom,
% 183.93/183.99 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 183.93/183.99 ( class_Groups_Ominus(T_b)
% 183.93/183.99 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_of__nat__diff,axiom,
% 183.93/183.99 ! [V_m,V_n,T_a] :
% 183.93/183.99 ( class_Rings_Oring__1(T_a)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/183.99 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiff__int,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__eq__diff__less__eq,axiom,
% 183.93/183.99 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_right__minus__eq,axiom,
% 183.93/183.99 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Ogroup__add(T_b)
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.99 <=> V_a_2 = V_ba_2 ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_eq__iff__diff__eq__0,axiom,
% 183.93/183.99 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Oab__group__add(T_b)
% 183.93/183.99 => ( V_a_2 = V_ba_2
% 183.93/183.99 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__self,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__0__right,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__eq__diff__less,axiom,
% 183.93/183.99 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_add__diff__cancel,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__add__cancel,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_minus__diff__eq,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oab__group__add(T_a)
% 183.93/183.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__diff__right__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Oring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__diff__left__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Oring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__diff__eq,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Oring__div(T_a)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__diff__cong,axiom,
% 183.93/183.99 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 183.93/183.99 ( class_Divides_Oring__div(T_a)
% 183.93/183.99 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 183.93/183.99 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__0__eq__0,axiom,
% 183.93/183.99 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_minus__nat_Odiff__0,axiom,
% 183.93/183.99 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__self__eq__0,axiom,
% 183.93/183.99 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diffs0__imp__equal,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => V_m = V_n ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Suc__diff__diff,axiom,
% 183.93/183.99 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)),hAPP(c_Nat_OSuc,V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__Suc__Suc,axiom,
% 183.93/183.99 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_less__imp__diff__less,axiom,
% 183.93/183.99 ! [V_n,V_k,V_j] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n)),V_k)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__less__mono2,axiom,
% 183.93/183.99 ! [V_l,V_n,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__if,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 183.93/183.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__geq,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__add__inverse2,axiom,
% 183.93/183.99 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__add__inverse,axiom,
% 183.93/183.99 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__diff__left,axiom,
% 183.93/183.99 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__cancel,axiom,
% 183.93/183.99 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__cancel2,axiom,
% 183.93/183.99 ! [V_n,V_k,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__diff__iff,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Nat_Odiff__diff__eq,axiom,
% 183.93/183.99 ! [V_n,V_m,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_eq__diff__iff,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)
% 183.93/183.99 <=> V_m_2 = V_n_2 ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__diff__cancel,axiom,
% 183.93/183.99 ! [V_n,V_i] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = V_i ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__le__mono,axiom,
% 183.93/183.99 ! [V_l,V_n,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_l)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_l))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__le__mono2,axiom,
% 183.93/183.99 ! [V_l,V_n,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__le__self,axiom,
% 183.93/183.99 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__mod__geq,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiff__zmult__distrib2,axiom,
% 183.93/183.99 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiff__zmult__distrib,axiom,
% 183.93/183.99 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__mult__distrib,axiom,
% 183.93/183.99 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__mult__distrib2,axiom,
% 183.93/183.99 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiff__zmod__right,axiom,
% 183.93/183.99 ! [V_m,V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiff__zmod__left,axiom,
% 183.93/183.99 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__diff__distrib,axiom,
% 183.93/183.99 ! [V_z,V_z_H] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 183.93/183.99 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zdiff__int__split,axiom,
% 183.93/183.99 ! [V_y_2,V_x_2,V_Pa_2] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2))))
% 183.93/183.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) )
% 183.93/183.99 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__iff__diff__le__0,axiom,
% 183.93/183.99 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_less__iff__diff__less__0,axiom,
% 183.93/183.99 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_eq__add__iff1,axiom,
% 183.93/183.99 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Rings_Oring(T_b)
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2)
% 183.93/183.99 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),V_e_2)),V_ca_2) = V_d_2 ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_eq__add__iff2,axiom,
% 183.93/183.99 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Rings_Oring(T_b)
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2)
% 183.93/183.99 <=> V_ca_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ba_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__0,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__minus__eq__add,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_ab__diff__minus,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oab__group__add(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__def,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Ogroup__add(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 183.93/183.99 ! [V_y,V_x,T_a] :
% 183.93/183.99 ( class_Rings_Ocomm__ring__1(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_less__bin__lemma,axiom,
% 183.93/183.99 ! [V_l_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zero__less__diff,axiom,
% 183.93/183.99 ! [V_m_2,V_n_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__less,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__less__Suc,axiom,
% 183.93/183.99 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(c_Nat_OSuc,V_m))) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__add__0,axiom,
% 183.93/183.99 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__is__0__eq,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2] :
% 183.93/183.99 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__is__0__eq_H,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_less__diff__conv,axiom,
% 183.93/183.99 ! [V_k_2,V_j_2,V_i_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_add__diff__inverse,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Suc__diff__le,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_less__diff__iff,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__less__mono,axiom,
% 183.93/183.99 ! [V_c,V_b,V_a] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__add__assoc2,axiom,
% 183.93/183.99 ! [V_i,V_j,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_add__diff__assoc2,axiom,
% 183.93/183.99 ! [V_i,V_j,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__add__assoc,axiom,
% 183.93/183.99 ! [V_i,V_j,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__imp__diff__is__add,axiom,
% 183.93/183.99 ! [V_k_2,V_j_2,V_i_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 183.93/183.99 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__add__diff__inverse2,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__diff__conv2,axiom,
% 183.93/183.99 ! [V_i_2,V_j_2,V_k_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_add__diff__assoc,axiom,
% 183.93/183.99 ! [V_i,V_j,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__add__diff__inverse,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__add__diff,axiom,
% 183.93/183.99 ! [V_m,V_n,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_k))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__diff__conv,axiom,
% 183.93/183.99 ! [V_i_2,V_k_2,V_j_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)),V_i_2))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__diff__right,axiom,
% 183.93/183.99 ! [V_i,V_j,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__int__def,axiom,
% 183.93/183.99 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__int__def__symmetric,axiom,
% 183.93/183.99 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 183.93/183.99 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__Suc__1,axiom,
% 183.93/183.99 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__mod__equality_H,axiom,
% 183.93/183.99 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mult__div__cancel,axiom,
% 183.93/183.99 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Divides_Omod__div__equality_H,axiom,
% 183.93/183.99 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_tsub__eq,axiom,
% 183.93/183.99 ! [V_x,V_y] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 183.93/183.99 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 183.93/183.99 ! [V_y,V_x] : c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x),V_y)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__add__iff1,axiom,
% 183.93/183.99 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Rings_Oordered__ring(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__add__iff2,axiom,
% 183.93/183.99 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Rings_Oordered__ring(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ba_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_less__add__iff1,axiom,
% 183.93/183.99 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Rings_Oordered__ring(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_less__add__iff2,axiom,
% 183.93/183.99 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Rings_Oordered__ring(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ba_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__Suc__less,axiom,
% 183.93/183.99 ! [V_i,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_i))),V_n)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Suc__pred,axiom,
% 183.93/183.99 ! [V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__diff__split,axiom,
% 183.93/183.99 ! [V_ba_2,V_a_2,V_Pa_2] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_ba_2)))
% 183.93/183.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2))
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 183.93/183.99 & ! [B_d] :
% 183.93/183.99 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ba_2),B_d)
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__diff__split__asm,axiom,
% 183.93/183.99 ! [V_ba_2,V_a_2,V_Pa_2] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_ba_2)))
% 183.93/183.99 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2))
% 183.93/183.99 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 183.93/183.99 | ? [B_d] :
% 183.93/183.99 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ba_2),B_d)
% 183.93/183.99 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zle__diff1__eq,axiom,
% 183.93/183.99 ! [V_z_2,V_w_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__Suc__diff__eq2,axiom,
% 183.93/183.99 ! [V_m,V_j,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))),V_m) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_j)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_diff__Suc__diff__eq1,axiom,
% 183.93/183.99 ! [V_m,V_j,V_k] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(c_Nat_OSuc,V_j)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__le__add__iff1,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__diff__add__eq1,axiom,
% 183.93/183.99 ! [V_n,V_m,V_u,V_i,V_j] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_u)),V_m)),V_n) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__eq__add__iff1,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)
% 183.93/183.99 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_n_2 ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__le__add__iff2,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__diff__add__eq2,axiom,
% 183.93/183.99 ! [V_n,V_m,V_u,V_j,V_i] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i)),V_u)),V_n)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__eq__add__iff2,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 183.93/183.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)
% 183.93/183.99 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zminus2__eq__if,axiom,
% 183.93/183.99 ! [V_b,V_a] :
% 183.93/183.99 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.93/183.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zminus1__eq__if,axiom,
% 183.93/183.99 ! [V_b,V_a] :
% 183.93/183.99 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.93/183.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmod__zdiv__equality_H,axiom,
% 183.93/183.99 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)),V_n)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zmult__div__cancel,axiom,
% 183.93/183.99 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_tsub__def,axiom,
% 183.93/183.99 ! [V_x,V_y] :
% 183.93/183.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 183.93/183.99 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 183.93/183.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 183.93/183.99 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Suc__diff__1,axiom,
% 183.93/183.99 ! [V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Suc__pred_H,axiom,
% 183.93/183.99 ! [V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__less__add__iff1,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__less__add__iff2,axiom,
% 183.93/183.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_add__eq__if,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 183.93/183.99 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__if,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/183.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_div__geq,axiom,
% 183.93/183.99 ! [V_m,V_n] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/183.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mult__eq__if,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/183.99 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_int__power__div__base,axiom,
% 183.93/183.99 ! [V_k,V_m] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 183.93/183.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m)),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_decr__mult__lemma,axiom,
% 183.93/183.99 ! [V_k_2,V_Pa_2,V_d_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 183.93/183.99 => ( ! [B_x] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 183.93/183.99 => ! [B_x] :
% 183.93/183.99 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_incr__lemma,axiom,
% 183.93/183.99 ! [V_x,V_z,V_d] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_decr__lemma,axiom,
% 183.93/183.99 ! [V_z,V_x,V_d] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))),V_z)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__mod__eq__lemma,axiom,
% 183.93/183.99 ! [V_y,V_n,V_x] :
% 183.93/183.99 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 183.93/183.99 => ? [B_q] : V_x = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),B_q)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mod__induct__0,axiom,
% 183.93/183.99 ! [V_i_2,V_Pa_2,V_p_2] :
% 183.93/183.99 ( ! [B_i] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 183.93/183.99 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 183.93/183.99 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 183.93/183.99 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_expand__Suc,axiom,
% 183.93/183.99 ! [V_v] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)))
% 183.93/183.99 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_nat__gcd_Osimps,axiom,
% 183.93/183.99 ! [V_x,V_y] :
% 183.93/183.99 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 183.93/183.99 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/183.99 => c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_of__int__power,axiom,
% 183.93/183.99 ! [V_n,V_z,T_a] :
% 183.93/183.99 ( class_Rings_Oring__1(T_a)
% 183.93/183.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)),V_n) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_of__int__number__of__eq,axiom,
% 183.93/183.99 ! [V_v,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__idempotent,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_eq__number__of,axiom,
% 183.93/183.99 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.99 ( ( class_Int_Onumber__ring(T_b)
% 183.93/183.99 & class_Int_Oring__char__0(T_b) )
% 183.93/183.99 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 183.93/183.99 <=> V_x_2 = V_y_2 ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_number__of__reorient,axiom,
% 183.93/183.99 ! [V_x_2,V_w_2,T_b] :
% 183.93/183.99 ( class_Int_Onumber(T_b)
% 183.93/183.99 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 183.93/183.99 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zero__le__zpower__abs,axiom,
% 183.93/183.99 ! [V_n,V_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n))) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__le__D1,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__ge__self,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__zero,axiom,
% 183.93/183.99 ! [T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__eq__0,axiom,
% 183.93/183.99 ! [V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.93/183.99 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/183.99 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__add__abs,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__mult__self,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__mult,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__minus__commute,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__one,axiom,
% 183.93/183.99 ! [T_a] :
% 183.93/183.99 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__minus__cancel,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 183.93/183.99 ! [V_q,V_y,V_x,T_a] :
% 183.93/183.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__of__nat,axiom,
% 183.93/183.99 ! [V_n,T_a] :
% 183.93/183.99 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__int__eq,axiom,
% 183.93/183.99 ! [V_m] : hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 183.93/183.99 ! [V_q,V_p,V_x,T_a] :
% 183.93/183.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zpower__zpower,axiom,
% 183.93/183.99 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 183.93/183.99 ! [V_x,T_a] :
% 183.93/183.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zpower__zmod,axiom,
% 183.93/183.99 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y),V_m) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_of__nat__number__of__lemma,axiom,
% 183.93/183.99 ! [V_v,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/183.99 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) )
% 183.93/183.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/183.99 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_number__of__eq,axiom,
% 183.93/183.99 ! [V_k,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__number__of,axiom,
% 183.93/183.99 ! [V_x,T_a] :
% 183.93/183.99 ( ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 & class_Rings_Olinordered__idom(T_a) )
% 183.93/183.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) )
% 183.93/183.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zero__less__zpower__abs__iff,axiom,
% 183.93/183.99 ! [V_n_2,V_x_2] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_n_2)))
% 183.93/183.99 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/183.99 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__of__nonneg,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__le__zero__iff,axiom,
% 183.93/183.99 ! [V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/183.99 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__ge__zero,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__not__less__zero,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zero__less__abs__iff,axiom,
% 183.93/183.99 ! [V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)))
% 183.93/183.99 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__of__pos,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__triangle__ineq,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__mult__less,axiom,
% 183.93/183.99 ! [V_d,V_b,V_c,V_a,T_a] :
% 183.93/183.99 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d))) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__triangle__ineq2__sym,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__triangle__ineq2,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__triangle__ineq3,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__ge__minus__self,axiom,
% 183.93/183.99 ! [V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__le__iff,axiom,
% 183.93/183.99 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_ba_2))
% 183.93/183.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_ba_2)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__leI,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__le__D2,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__less__iff,axiom,
% 183.93/183.99 ! [V_ba_2,V_a_2,T_b] :
% 183.93/183.99 ( class_Rings_Olinordered__idom(T_b)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_ba_2))
% 183.93/183.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2))
% 183.93/183.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_ba_2)) ) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__number__of__eq__not__less,axiom,
% 183.93/183.99 ! [V_w_2,V_v_2,T_b] :
% 183.93/183.99 ( ( class_Int_Onumber(T_b)
% 183.93/183.99 & class_Orderings_Olinorder(T_b) )
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/183.99 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_left__distrib__number__of,axiom,
% 183.93/183.99 ! [V_v,V_b,V_a,T_b] :
% 183.93/183.99 ( ( class_Int_Onumber(T_b)
% 183.93/183.99 & class_Rings_Osemiring(T_b) )
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_right__distrib__number__of,axiom,
% 183.93/183.99 ! [V_c,V_b,V_v,T_b] :
% 183.93/183.99 ( ( class_Int_Onumber(T_b)
% 183.93/183.99 & class_Rings_Osemiring(T_b) )
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 183.93/183.99 ! [V_q,V_x,T_a] :
% 183.93/183.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 183.93/183.99 ! [V_q,V_x,T_a] :
% 183.93/183.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 183.93/183.99 ! [V_q,V_x,T_a] :
% 183.93/183.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_left__diff__distrib__number__of,axiom,
% 183.93/183.99 ! [V_v,V_b,V_a,T_b] :
% 183.93/183.99 ( ( class_Int_Onumber(T_b)
% 183.93/183.99 & class_Rings_Oring(T_b) )
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_right__diff__distrib__number__of,axiom,
% 183.93/183.99 ! [V_c,V_b,V_v,T_b] :
% 183.93/183.99 ( ( class_Int_Onumber(T_b)
% 183.93/183.99 & class_Rings_Oring(T_b) )
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_le__number__of,axiom,
% 183.93/183.99 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.99 ( ( class_Int_Onumber__ring(T_b)
% 183.93/183.99 & class_Rings_Olinordered__idom(T_b) )
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 183.93/183.99 ! [V_x,T_a] :
% 183.93/183.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 183.93/183.99 ! [V_q,V_p,V_x,T_a] :
% 183.93/183.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_p),V_q)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_less__number__of,axiom,
% 183.93/183.99 ! [V_y_2,V_x_2,T_b] :
% 183.93/183.99 ( ( class_Int_Onumber__ring(T_b)
% 183.93/183.99 & class_Rings_Olinordered__idom(T_b) )
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 183.93/183.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_number__of__add,axiom,
% 183.93/183.99 ! [V_w,V_v,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_add__number__of__eq,axiom,
% 183.93/183.99 ! [V_w,V_v,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_add__number__of__left,axiom,
% 183.93/183.99 ! [V_z,V_w,V_v,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 183.93/183.99 ! [V_n,V_x] :
% 183.93/183.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/183.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n))) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mult__number__of__left,axiom,
% 183.93/183.99 ! [V_z,V_w,V_v,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_arith__simps_I32_J,axiom,
% 183.93/183.99 ! [V_w,V_v,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_number__of__mult,axiom,
% 183.93/183.99 ! [V_w,V_v,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__zmult__eq__1,axiom,
% 183.93/183.99 ! [V_n,V_m] :
% 183.93/183.99 ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n)) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_number__of__diff,axiom,
% 183.93/183.99 ! [V_w,V_v,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_zpower__zadd__distrib,axiom,
% 183.93/183.99 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_number__of__minus,axiom,
% 183.93/183.99 ! [V_w,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_arith__simps_I30_J,axiom,
% 183.93/183.99 ! [V_w,T_a] :
% 183.93/183.99 ( class_Int_Onumber__ring(T_a)
% 183.93/183.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_mult__sgn__abs,axiom,
% 183.93/183.99 ! [V_x,T_a] :
% 183.93/183.99 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)) = V_x ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__sgn,axiom,
% 183.93/183.99 ! [V_k,T_a] :
% 183.93/183.99 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__mult__pos,axiom,
% 183.93/183.99 ! [V_y,V_x,T_a] :
% 183.93/183.99 ( class_Rings_Olinordered__idom(T_a)
% 183.93/183.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/183.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_y)),V_x) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)) ) ) ).
% 183.93/183.99
% 183.93/183.99 fof(fact_abs__eq__mult,axiom,
% 183.93/183.99 ! [V_b,V_a,T_a] :
% 183.93/183.99 ( class_Rings_Oordered__ring__abs(T_a)
% 183.93/183.99 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/183.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 183.93/183.99 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/183.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__diff__triangle__ineq,axiom,
% 183.93/184.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d))))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__triangle__ineq4,axiom,
% 183.93/184.00 ! [V_b,V_a,T_a] :
% 183.93/184.00 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__of__nonpos,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__minus__le__zero,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__if,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Groups_Oabs__if(T_a)
% 183.93/184.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__of__neg,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zabs__less__one__iff,axiom,
% 183.93/184.00 ! [V_z_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 183.93/184.00 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__number__of__diff1,axiom,
% 183.93/184.00 ! [V_c,V_w,V_v,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_c) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zabs__def,axiom,
% 183.93/184.00 ! [V_i] :
% 183.93/184.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_minus__number__of__mult,axiom,
% 183.93/184.00 ! [V_z,V_w,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),V_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))),V_z) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__abs__mult__distrib,axiom,
% 183.93/184.00 ! [V_z,V_w] : hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_w))),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__number__of__eq,axiom,
% 183.93/184.00 ! [V_w,V_v,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__number__of__diff2,axiom,
% 183.93/184.00 ! [V_w,V_c,V_v,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)))),V_c) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__strict__mono,axiom,
% 183.93/184.00 ! [V_n,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_one__less__power,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__increasing__iff,axiom,
% 183.93/184.00 ! [V_y_2,V_x_2,V_ba_2,T_b] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_ba_2))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ba_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ba_2),V_y_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__le__imp__le__exp,axiom,
% 183.93/184.00 ! [V_n,V_m,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__decreasing,axiom,
% 183.93/184.00 ! [V_a,V_N,V_n,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__strict__decreasing,axiom,
% 183.93/184.00 ! [V_a,V_N,V_n,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__Suc__less__one,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),c_Groups_Oone__class_Oone(T_a))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_number__of__is__id,axiom,
% 183.93/184.00 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__eq__number__of__int__code,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__number__of__int__code,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_plus__numeral__code_I9_J,axiom,
% 183.93/184.00 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_times__numeral__code_I5_J,axiom,
% 183.93/184.00 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_minus__numeral__code_I5_J,axiom,
% 183.93/184.00 ! [V_w] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__Suc__0,axiom,
% 183.93/184.00 ! [V_n] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 183.93/184.00 ! [V_m_2,V_x_2] :
% 183.93/184.00 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/184.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.00 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__power__less__imp__less,axiom,
% 183.93/184.00 ! [V_n,V_m,V_i] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__zero__less__power__iff,axiom,
% 183.93/184.00 ! [V_n_2,V_x_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2)))
% 183.93/184.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 183.93/184.00 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_int__number__of__def,axiom,
% 183.93/184.00 ! [V_w] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),V_w) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__one__le__power,axiom,
% 183.93/184.00 ! [V_n,V_i] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_i))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__number__of,axiom,
% 183.93/184.00 ! [V_w] : hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__number__of__def,axiom,
% 183.93/184.00 ! [V_v] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_int__power,axiom,
% 183.93/184.00 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zpower__int,axiom,
% 183.93/184.00 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 183.93/184.00 ! [V_n,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x),V_n)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_minus__numeral__code_I6_J,axiom,
% 183.93/184.00 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__eq__if,axiom,
% 183.93/184.00 ! [V_p,V_m] :
% 183.93/184.00 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 183.93/184.00 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_int__eq__iff__number__of,axiom,
% 183.93/184.00 ! [V_v_2,V_m_2] :
% 183.93/184.00 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)
% 183.93/184.00 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 183.93/184.00 ! [V_n,V_x] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__power__eq,axiom,
% 183.93/184.00 ! [V_n,V_z] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 183.93/184.00 => hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),V_n) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_field__power__not__zero,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 183.93/184.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__commutes,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Groups_Omonoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__mult__distrib,axiom,
% 183.93/184.00 ! [V_n,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Groups_Ocomm__monoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__one,axiom,
% 183.93/184.00 ! [V_n,T_a] :
% 183.93/184.00 ( class_Groups_Omonoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_of__nat__power,axiom,
% 183.93/184.00 ! [V_n,V_m,T_a] :
% 183.93/184.00 ( class_Rings_Osemiring__1(T_a)
% 183.93/184.00 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),V_n) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__mult,axiom,
% 183.93/184.00 ! [V_n,V_m,V_a,T_a] :
% 183.93/184.00 ( class_Groups_Omonoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_one__div__nat__number__of,axiom,
% 183.93/184.00 ! [V_v_H] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__abs,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__one__right,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Groups_Omonoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__le__power,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__mono,axiom,
% 183.93/184.00 ! [V_n,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__less__power,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__eq__0__iff,axiom,
% 183.93/184.00 ! [V_n_2,V_a_2,T_b] :
% 183.93/184.00 ( ( class_Power_Opower(T_b)
% 183.93/184.00 & class_Rings_Omult__zero(T_b)
% 183.93/184.00 & class_Rings_Ono__zero__divisors(T_b)
% 183.93/184.00 & class_Rings_Ozero__neq__one(T_b) )
% 183.93/184.00 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_one__le__power,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__0__Suc,axiom,
% 183.93/184.00 ! [V_n,T_a] :
% 183.93/184.00 ( ( class_Power_Opower(T_a)
% 183.93/184.00 & class_Rings_Osemiring__0(T_a) )
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_OSuc,V_n)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__inject__exp,axiom,
% 183.93/184.00 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 183.93/184.00 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)
% 183.93/184.00 <=> V_m_2 = V_n_2 ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__Suc,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Power_Opower(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__Suc2,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Groups_Omonoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__0,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Power_Opower(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__add,axiom,
% 183.93/184.00 ! [V_n,V_m,V_a,T_a] :
% 183.93/184.00 ( class_Groups_Omonoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__power__minus,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__less__imp__less__base,axiom,
% 183.93/184.00 ! [V_b,V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__le__imp__le__base,axiom,
% 183.93/184.00 ! [V_b,V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__inject__base,axiom,
% 183.93/184.00 ! [V_b,V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/184.00 => V_a = V_b ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__gt1__lemma,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__less__power__Suc,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__0__left,axiom,
% 183.93/184.00 ! [V_n,T_a] :
% 183.93/184.00 ( ( class_Power_Opower(T_a)
% 183.93/184.00 & class_Rings_Osemiring__0(T_a) )
% 183.93/184.00 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 183.93/184.00 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__gt1,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__strict__increasing,axiom,
% 183.93/184.00 ! [V_a,V_N,V_n,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__less__imp__less__exp,axiom,
% 183.93/184.00 ! [V_n,V_m,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__strict__increasing__iff,axiom,
% 183.93/184.00 ! [V_y_2,V_x_2,V_ba_2,T_b] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_ba_2))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ba_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ba_2),V_y_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__le__power__abs,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__increasing,axiom,
% 183.93/184.00 ! [V_a,V_N,V_n,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__minus,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Oring__1(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__Suc__less,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__eq__imp__eq__base,axiom,
% 183.93/184.00 ! [V_b,V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/184.00 => V_a = V_b ) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 183.93/184.00 ! [V_y,V_x] : c_Nitpick_Onat__lcm(V_x,V_y) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)),c_Nitpick_Onat__gcd(V_x,V_y)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 183.93/184.00 ! [V_y,V_x] : hAPP(hAPP(c_Nitpick_Oint__gcd,V_x),V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_one__mod__nat__number__of,axiom,
% 183.93/184.00 ! [V_v_H] :
% 183.93/184.00 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.93/184.00 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.93/184.00 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__power__power,axiom,
% 183.93/184.00 ! [T_b] :
% 183.93/184.00 ( class_Power_Opower(T_b)
% 183.93/184.00 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_div__nat__number__of,axiom,
% 183.93/184.00 ! [V_v_H,V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mod__nat__number__of,axiom,
% 183.93/184.00 ! [V_v_H,V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.93/184.00 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.93/184.00 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 183.93/184.00 ! [V_y,V_x] : c_Nitpick_Oint__lcm(V_x,V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__lcm(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_not__neg__0,axiom,
% 183.93/184.00 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_not__neg__int,axiom,
% 183.93/184.00 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_not__neg__1,axiom,
% 183.93/184.00 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_not__neg__eq__ge__0,axiom,
% 183.93/184.00 ! [V_x_2] :
% 183.93/184.00 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__def,axiom,
% 183.93/184.00 ! [V_Z_2] :
% 183.93/184.00 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__nat,axiom,
% 183.93/184.00 ! [V_z] :
% 183.93/184.00 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 183.93/184.00 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_not__neg__nat,axiom,
% 183.93/184.00 ! [V_z] :
% 183.93/184.00 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 183.93/184.00 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power_Opower_Opower__0,axiom,
% 183.93/184.00 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power_Opower_Opower__Suc,axiom,
% 183.93/184.00 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__imp__number__of__eq__0,axiom,
% 183.93/184.00 ! [V_v] :
% 183.93/184.00 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__zminus__int,axiom,
% 183.93/184.00 ! [V_n] : hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__nat__number__of,axiom,
% 183.93/184.00 ! [V_v_H_2,V_v_2] :
% 183.93/184.00 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)
% 183.93/184.00 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 183.93/184.00 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 183.93/184.00 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 183.93/184.00 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__number__of__add__left,axiom,
% 183.93/184.00 ! [V_k,V_v_H,V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_k) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_int__nat__number__of,axiom,
% 183.93/184.00 ! [V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_of__nat__number__of__eq,axiom,
% 183.93/184.00 ! [V_v,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__nat__number__of__number__of,axiom,
% 183.93/184.00 ! [V_w,V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__nat__number__of,axiom,
% 183.93/184.00 ! [V_n,V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),V_n)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Suc__nat__number__of__add,axiom,
% 183.93/184.00 ! [V_n,V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v))),V_n) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Suc__nat__number__of,axiom,
% 183.93/184.00 ! [V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.00 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zmod__minus1,axiom,
% 183.93/184.00 ! [V_b] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_div__pos__neg__trivial,axiom,
% 183.93/184.00 ! [V_b,V_a] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat0__intermed__int__val,axiom,
% 183.93/184.00 ! [V_k_2,V_f_2,V_n_2] :
% 183.93/184.00 ( ! [B_i] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 183.93/184.00 => ? [B_i] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 183.93/184.00 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_int__val__lemma,axiom,
% 183.93/184.00 ! [V_k_2,V_f_2,V_n_2] :
% 183.93/184.00 ( ! [B_i] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 183.93/184.00 => ? [B_i] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 183.93/184.00 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__number__of__eq,axiom,
% 183.93/184.00 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 183.93/184.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__bin__simps_I2_J,axiom,
% 183.93/184.00 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nonzero__number__of__Min,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I24_J,axiom,
% 183.93/184.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I7_J,axiom,
% 183.93/184.00 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_iszero__def,axiom,
% 183.93/184.00 ! [V_z_2,T_b] :
% 183.93/184.00 ( class_Rings_Osemiring__1(T_b)
% 183.93/184.00 => ( c_Int_Oiszero(T_b,V_z_2)
% 183.93/184.00 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_iszero__0,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Rings_Osemiring__1(T_a)
% 183.93/184.00 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_not__iszero__1,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Rings_Osemiring__1(T_a)
% 183.93/184.00 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_bin__less__0__simps_I2_J,axiom,
% 183.93/184.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Int_OMin__def,axiom,
% 183.93/184.00 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__Min,axiom,
% 183.93/184.00 ! [V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__number__of__Min,axiom,
% 183.93/184.00 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__minus1__right,axiom,
% 183.93/184.00 ! [V_z,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__minus1,axiom,
% 183.93/184.00 ! [V_z,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_z) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_arith__simps_I31_J,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_number__of__Min,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__minus__one,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 & class_Rings_Olinordered__idom(T_a) )
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zmod__minus1__right,axiom,
% 183.93/184.00 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zmult__eq__1__iff,axiom,
% 183.93/184.00 ! [V_n_2,V_m_2] :
% 183.93/184.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.93/184.00 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.93/184.00 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 183.93/184.00 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 183.93/184.00 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 183.93/184.00 ! [V_n,V_m] :
% 183.93/184.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.93/184.00 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 183.93/184.00 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_of__int__m1,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zdiv__minus1__right,axiom,
% 183.93/184.00 ! [V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_succ__def,axiom,
% 183.93/184.00 ! [V_k] : c_Int_Osucc(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__power__minus__one,axiom,
% 183.93/184.00 ! [V_n,T_a] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 & class_Rings_Olinordered__idom(T_a) )
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_div__eq__minus1,axiom,
% 183.93/184.00 ! [V_b] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_number__of__succ,axiom,
% 183.93/184.00 ! [V_k,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Osucc(V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__1__add__number__of,axiom,
% 183.93/184.00 ! [V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__number__of__add__1,axiom,
% 183.93/184.00 ! [V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__special_I3_J,axiom,
% 183.93/184.00 ! [V_x_2,T_b] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__special_I1_J,axiom,
% 183.93/184.00 ! [V_y_2,T_b] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 183.93/184.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__number__of__pred__iff__0,axiom,
% 183.93/184.00 ! [V_v_2] :
% 183.93/184.00 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 183.93/184.00 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__number__of__mult__left,axiom,
% 183.93/184.00 ! [V_k,V_v_H,V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__nat__number__of,axiom,
% 183.93/184.00 ! [V_v_H,V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_pred__Pls,axiom,
% 183.93/184.00 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Pls__def,axiom,
% 183.93/184.00 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I19_J,axiom,
% 183.93/184.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I2_J,axiom,
% 183.93/184.00 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__Pls,axiom,
% 183.93/184.00 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__Pls__right,axiom,
% 183.93/184.00 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__Pls,axiom,
% 183.93/184.00 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__bin__simps_I1_J,axiom,
% 183.93/184.00 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 183.93/184.00
% 183.93/184.00 fof(fact_minus__Pls,axiom,
% 183.93/184.00 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I37_J,axiom,
% 183.93/184.00 c_Int_OPls != c_Int_OMin ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I40_J,axiom,
% 183.93/184.00 c_Int_OMin != c_Int_OPls ).
% 183.93/184.00
% 183.93/184.00 fof(fact_succ__pred,axiom,
% 183.93/184.00 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 183.93/184.00
% 183.93/184.00 fof(fact_number__of__Pls,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_semiring__norm_I112_J,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__numeral__0,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)),V_a) = V_a ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__numeral__0__right,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = V_a ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_bin__less__0__simps_I1_J,axiom,
% 183.93/184.00 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__number__of__Pls,axiom,
% 183.93/184.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_semiring__norm_I113_J,axiom,
% 183.93/184.00 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__is__num__zero,axiom,
% 183.93/184.00 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Suc__diff__number__of,axiom,
% 183.93/184.00 ! [V_m,V_v] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I20_J,axiom,
% 183.93/184.00 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I23_J,axiom,
% 183.93/184.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I3_J,axiom,
% 183.93/184.00 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I6_J,axiom,
% 183.93/184.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__number__of__Pls__Min,axiom,
% 183.93/184.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_not__neg__number__of__Pls,axiom,
% 183.93/184.00 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_iszero__Numeral0,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_succ__Min,axiom,
% 183.93/184.00 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 183.93/184.00
% 183.93/184.00 fof(fact_le__iff__pred__less,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_pred__def,axiom,
% 183.93/184.00 ! [V_k] : c_Int_Opred(V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__Min__right,axiom,
% 183.93/184.00 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__Min,axiom,
% 183.93/184.00 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__number__of__diff__1,axiom,
% 183.93/184.00 ! [V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__0__number__of,axiom,
% 183.93/184.00 ! [V_v_2] :
% 183.93/184.00 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__number__of__0,axiom,
% 183.93/184.00 ! [V_v_2] :
% 183.93/184.00 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_number__of2,axiom,
% 183.93/184.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__nat__number__of,axiom,
% 183.93/184.00 ! [V_v_H_2,V_v_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 183.93/184.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_le__nat__number__of,axiom,
% 183.93/184.00 ! [V_v_H_2,V_v_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 183.93/184.00 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_le__special_I1_J,axiom,
% 183.93/184.00 ! [V_y_2,T_b] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 & class_Rings_Olinordered__idom(T_b) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_le__special_I3_J,axiom,
% 183.93/184.00 ! [V_x_2,T_b] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 & class_Rings_Olinordered__idom(T_b) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__special_I3_J,axiom,
% 183.93/184.00 ! [V_x_2,T_b] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 & class_Rings_Olinordered__idom(T_b) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__special_I1_J,axiom,
% 183.93/184.00 ! [V_y_2,T_b] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 & class_Rings_Olinordered__idom(T_b) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__0__number__of,axiom,
% 183.93/184.00 ! [V_v_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__nat__number__of,axiom,
% 183.93/184.00 ! [V_v_H,V_v] :
% 183.93/184.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 183.93/184.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H)) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_number__of__pred,axiom,
% 183.93/184.00 ! [V_w,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Opred(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__special_I4_J,axiom,
% 183.93/184.00 ! [V_x_2,T_b] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 183.93/184.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__special_I2_J,axiom,
% 183.93/184.00 ! [V_y_2,T_b] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 183.93/184.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__special_I2_J,axiom,
% 183.93/184.00 ! [V_v,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__special_I1_J,axiom,
% 183.93/184.00 ! [V_w,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 183.93/184.00 ! [V_v,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Suc__div__eq__add3__div,axiom,
% 183.93/184.00 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),V_n) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I51_J,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 183.93/184.00 <=> V_k_2 = V_l_2 ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I34_J,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__eq__int__code_I16_J,axiom,
% 183.93/184.00 ! [V_k2_2,V_k1_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I17_J,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__int__code_I16_J,axiom,
% 183.93/184.00 ! [V_k2_2,V_k1_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I39_J,axiom,
% 183.93/184.00 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I46_J,axiom,
% 183.93/184.00 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Bit1__Min,axiom,
% 183.93/184.00 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I43_J,axiom,
% 183.93/184.00 ! [V_l_2] :
% 183.93/184.00 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 183.93/184.00 <=> c_Int_OMin = V_l_2 ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I47_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 183.93/184.00 <=> V_k_2 = c_Int_OMin ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_bin__less__0__simps_I4_J,axiom,
% 183.93/184.00 ! [V_w_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I22_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I12_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Bit1__def,axiom,
% 183.93/184.00 ! [V_k] : c_Int_OBit1(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)),V_k) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I26_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I30_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I9_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I13_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__number__of__Bit1,axiom,
% 183.93/184.00 ! [V_w_2] :
% 183.93/184.00 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 183.93/184.00 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_minus__Bit1,axiom,
% 183.93/184.00 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(V_k)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_iszero__number__of__Bit1,axiom,
% 183.93/184.00 ! [V_w,T_a] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 & class_Int_Oring__char__0(T_a) )
% 183.93/184.00 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_succ__Pls,axiom,
% 183.93/184.00 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_number__of__Bit1,axiom,
% 183.93/184.00 ! [V_w,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__numeral__1__right,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__numeral__1,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))),V_a) = V_a ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_numeral__1__eq__1,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_semiring__norm_I110_J,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I29_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I5_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_one__is__num__one,axiom,
% 183.93/184.00 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Numeral1__eq1__nat,axiom,
% 183.93/184.00 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__numeral__1__eq__1,axiom,
% 183.93/184.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__bin__simps_I4_J,axiom,
% 183.93/184.00 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_minus__Min,axiom,
% 183.93/184.00 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_not__iszero__Numeral1,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_numeral__1__eq__Suc__0,axiom,
% 183.93/184.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_numeral__3__eq__3,axiom,
% 183.93/184.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power3__eq__cube,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Groups_Omonoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),V_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 183.93/184.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Suc3__eq__add__3,axiom,
% 183.93/184.00 ! [V_n] : hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 183.93/184.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 183.93/184.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_le__special_I4_J,axiom,
% 183.93/184.00 ! [V_x_2,T_b] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 & class_Rings_Olinordered__idom(T_b) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_le__special_I2_J,axiom,
% 183.93/184.00 ! [V_y_2,T_b] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 & class_Rings_Olinordered__idom(T_b) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__special_I4_J,axiom,
% 183.93/184.00 ! [V_x_2,T_b] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 & class_Rings_Olinordered__idom(T_b) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__special_I2_J,axiom,
% 183.93/184.00 ! [V_y_2,T_b] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 & class_Rings_Olinordered__idom(T_b) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__special_I2_J,axiom,
% 183.93/184.00 ! [V_w,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_w)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__special_I3_J,axiom,
% 183.93/184.00 ! [V_v,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),c_Int_OBit1(c_Int_OPls))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 183.93/184.00 ! [V_m,V_n] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls)),V_n))
% 183.93/184.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 183.93/184.00 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 183.93/184.00 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),V_n) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 183.93/184.00 ! [V_v,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_div__Suc__eq__div__add3,axiom,
% 183.93/184.00 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zmod__number__of__Bit1,axiom,
% 183.93/184.00 ! [V_v,V_w] :
% 183.93/184.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.93/184.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.93/184.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__zmod__mult__2,axiom,
% 183.93/184.00 ! [V_b,V_a] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_a))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_pos__zdiv__mult__2,axiom,
% 183.93/184.00 ! [V_b,V_a] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/184.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__zdiv__mult__2,axiom,
% 183.93/184.00 ! [V_b,V_a] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_pos__zmod__mult__2,axiom,
% 183.93/184.00 ! [V_b,V_a] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/184.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_a))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_of__nat__double,axiom,
% 183.93/184.00 ! [V_x,T_a] :
% 183.93/184.00 ( class_Rings_Osemiring__1(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 183.93/184.00 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I48_J,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 183.93/184.00 <=> V_k_2 = V_l_2 ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__eq__int__code_I13_J,axiom,
% 183.93/184.00 ! [V_k2_2,V_k1_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I31_J,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__int__code_I13_J,axiom,
% 183.93/184.00 ! [V_k2_2,V_k1_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I14_J,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I44_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 183.93/184.00 <=> V_k_2 = c_Int_OPls ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I38_J,axiom,
% 183.93/184.00 ! [V_l_2] :
% 183.93/184.00 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 183.93/184.00 <=> c_Int_OPls = V_l_2 ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Bit0__Pls,axiom,
% 183.93/184.00 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I50_J,axiom,
% 183.93/184.00 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I49_J,axiom,
% 183.93/184.00 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Bit0__def,axiom,
% 183.93/184.00 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__Bit0__Bit0,axiom,
% 183.93/184.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__Bit0,axiom,
% 183.93/184.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit0(V_k)),V_l) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__bin__simps_I7_J,axiom,
% 183.93/184.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_minus__Bit0,axiom,
% 183.93/184.00 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit0(V_k)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I45_J,axiom,
% 183.93/184.00 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I42_J,axiom,
% 183.93/184.00 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_bin__less__0__simps_I3_J,axiom,
% 183.93/184.00 ! [V_w_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I27_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I21_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__eq__int__code_I14_J,axiom,
% 183.93/184.00 ! [V_k2_2,V_k1_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I32_J,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I10_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I4_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__int__code_I15_J,axiom,
% 183.93/184.00 ! [V_k2_2,V_k1_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I16_J,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__Bit1__Bit0,axiom,
% 183.93/184.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__Bit0__Bit1,axiom,
% 183.93/184.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__bin__simps_I3_J,axiom,
% 183.93/184.00 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__bin__simps_I10_J,axiom,
% 183.93/184.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__bin__simps_I9_J,axiom,
% 183.93/184.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I28_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I8_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zdiv__number__of__Bit0,axiom,
% 183.93/184.00 ! [V_w,V_v] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__number__of__Bit0,axiom,
% 183.93/184.00 ! [V_w_2] :
% 183.93/184.00 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 183.93/184.00 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_pred__Bit1,axiom,
% 183.93/184.00 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_pred__Bit0,axiom,
% 183.93/184.00 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_pred__Min,axiom,
% 183.93/184.00 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_iszero__number__of__Bit0,axiom,
% 183.93/184.00 ! [V_w_2,T_b] :
% 183.93/184.00 ( ( class_Int_Onumber__ring(T_b)
% 183.93/184.00 & class_Int_Oring__char__0(T_b) )
% 183.93/184.00 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 183.93/184.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_succ__Bit0,axiom,
% 183.93/184.00 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_succ__Bit1,axiom,
% 183.93/184.00 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_number__of__Bit0,axiom,
% 183.93/184.00 ! [V_w,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I15_J,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__int__code_I14_J,axiom,
% 183.93/184.00 ! [V_k2_2,V_k1_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I33_J,axiom,
% 183.93/184.00 ! [V_l_2,V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__eq__int__code_I15_J,axiom,
% 183.93/184.00 ! [V_k2_2,V_k1_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__Bit1,axiom,
% 183.93/184.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit1(V_k)),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l))),V_l) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I25_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_rel__simps_I11_J,axiom,
% 183.93/184.00 ! [V_k_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__bin__simps_I6_J,axiom,
% 183.93/184.00 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__bin__simps_I5_J,axiom,
% 183.93/184.00 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__bin__simps_I8_J,axiom,
% 183.93/184.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Opred(V_k)),V_l)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__Bit1__Bit1,axiom,
% 183.93/184.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_Osucc(V_l))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_double__number__of__Bit0,axiom,
% 183.93/184.00 ! [V_w,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_number__of1,axiom,
% 183.93/184.00 ! [V_n] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_n))))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_n)))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__2,axiom,
% 183.93/184.00 ! [V_z,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__2__right,axiom,
% 183.93/184.00 ! [V_z,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_one__add__one__is__two,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__power2,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Rings_Osemiring__1(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__eq__power2,axiom,
% 183.93/184.00 ! [V_a_2,T_b] :
% 183.93/184.00 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 183.93/184.00 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_numeral__2__eq__2,axiom,
% 183.93/184.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_semiring__norm_I115_J,axiom,
% 183.93/184.00 hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__eq__square,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Groups_Omonoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 183.93/184.00 ! [V_x,T_a] :
% 183.93/184.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 183.93/184.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__2__eq__Suc,axiom,
% 183.93/184.00 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__2__eq__Suc_H,axiom,
% 183.93/184.00 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_one__power2,axiom,
% 183.93/184.00 ! [T_a] :
% 183.93/184.00 ( class_Rings_Osemiring__1(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__minus,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Rings_Oring__1(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__mult__2__right,axiom,
% 183.93/184.00 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_z),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__mult__2,axiom,
% 183.93/184.00 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__even__eq,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Groups_Omonoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 183.93/184.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 183.93/184.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__abs,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__power2,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__1__add__1,axiom,
% 183.93/184.00 hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mod2__Suc__Suc,axiom,
% 183.93/184.00 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_div2__Suc__Suc,axiom,
% 183.93/184.00 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zmod__number__of__Bit0,axiom,
% 183.93/184.00 ! [V_w,V_v] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__self__div__2,axiom,
% 183.93/184.00 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_m ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__le__power2,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__le__imp__le,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__eq__imp__eq,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.00 => V_x = V_y ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__less__power2,axiom,
% 183.93/184.00 ! [V_a_2,T_b] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 183.93/184.00 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__less__0,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_sum__power2__eq__zero__iff,axiom,
% 183.93/184.00 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_b)
% 183.93/184.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__eq__square__number__of,axiom,
% 183.93/184.00 ! [V_w,T_b] :
% 183.93/184.00 ( ( class_Groups_Omonoid__mult(T_b)
% 183.93/184.00 & class_Int_Onumber(T_b) )
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_less__2__cases,axiom,
% 183.93/184.00 ! [V_n] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 183.93/184.00 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.00 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__2,axiom,
% 183.93/184.00 hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__eq__1__iff,axiom,
% 183.93/184.00 ! [V_a_2,T_b] :
% 183.93/184.00 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 183.93/184.00 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b)
% 183.93/184.00 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 183.93/184.00 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 183.93/184.00 ! [V_n,V_x,T_a] :
% 183.93/184.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__minus__even,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Oring__1(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__less__imp__less,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__semidom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_sum__power2__le__zero__iff,axiom,
% 183.93/184.00 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_sum__power2__ge__zero,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_not__sum__power2__lt__zero,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_sum__power2__gt__zero__iff,axiom,
% 183.93/184.00 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 183.93/184.00 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__sum,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__le__even__power_H,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__odd__eq,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Groups_Omonoid__mult(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 183.93/184.00 ! [V_n,V_x,T_a] :
% 183.93/184.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__minus1__even,axiom,
% 183.93/184.00 ! [V_n,T_a] :
% 183.93/184.00 ( class_Rings_Oring__1(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zdiv__number__of__Bit1,axiom,
% 183.93/184.00 ! [V_v,V_w] :
% 183.93/184.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.93/184.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 183.93/184.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.93/184.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mod2__gr__0,axiom,
% 183.93/184.00 ! [V_m_2] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 183.93/184.00 <=> c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_div__2__gt__zero,axiom,
% 183.93/184.00 ! [V_n] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power2__diff,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_odd__power__less__zero,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__minus1__odd,axiom,
% 183.93/184.00 ! [V_n,T_a] :
% 183.93/184.00 ( class_Rings_Oring__1(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__m1__even,axiom,
% 183.93/184.00 ! [V_n,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__m1__odd,axiom,
% 183.93/184.00 ! [V_n,T_a] :
% 183.93/184.00 ( class_Int_Onumber__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 183.93/184.00 ! [V_n] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_int__of__code,axiom,
% 183.93/184.00 ! [V_k] :
% 183.93/184.00 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.00 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.93/184.00 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.00 => ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.00 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )
% 183.93/184.00 & ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.00 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_one__code__numeral__code,axiom,
% 183.93/184.00 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OPls)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_half__gt__zero,axiom,
% 183.93/184.00 ! [V_r,T_a] :
% 183.93/184.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.93/184.00 & class_Int_Onumber__ring(T_a) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_half__gt__zero__iff,axiom,
% 183.93/184.00 ! [V_r_2,T_b] :
% 183.93/184.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.00 & class_Int_Onumber__ring(T_b) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 183.93/184.00 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nat__intermed__int__val,axiom,
% 183.93/184.00 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 183.93/184.00 ( ! [B_i] :
% 183.93/184.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 183.93/184.00 => ? [B_i] :
% 183.93/184.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 183.93/184.00 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_code__numeral__zero__minus__one,axiom,
% 183.93/184.00 hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__zero,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__zero__left,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_add__divide__distrib,axiom,
% 183.93/184.00 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_times__divide__times__eq,axiom,
% 183.93/184.00 ! [V_w,V_z,V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_z),V_w)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_times__divide__eq__right,axiom,
% 183.93/184.00 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_diff__divide__distrib,axiom,
% 183.93/184.00 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__1,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_minus__divide__divide,axiom,
% 183.93/184.00 ! [V_b,V_a,T_a] :
% 183.93/184.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_minus__divide__right,axiom,
% 183.93/184.00 ! [V_b,V_a,T_a] :
% 183.93/184.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.00 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_minus__divide__left,axiom,
% 183.93/184.00 ! [V_b,V_a,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__divide,axiom,
% 183.93/184.00 ! [V_n,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_abs__divide,axiom,
% 183.93/184.00 ! [V_b,V_a,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 183.93/184.00 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 183.93/184.00 ! [V_y,V_x] :
% 183.93/184.00 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.93/184.00 => ( c_Nat__Transfer_Ois__nat(V_y)
% 183.93/184.00 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 183.93/184.00 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 183.93/184.00 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 183.93/184.00 ! [V_y,V_x] :
% 183.93/184.00 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.93/184.00 => ( c_Nat__Transfer_Ois__nat(V_y)
% 183.93/184.00 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 183.93/184.00 ! [V_y,V_x] :
% 183.93/184.00 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.93/184.00 => ( c_Nat__Transfer_Ois__nat(V_y)
% 183.93/184.00 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 183.93/184.00 ! [V_y,V_x] :
% 183.93/184.00 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.93/184.00 => ( c_Nat__Transfer_Ois__nat(V_y)
% 183.93/184.00 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 183.93/184.00 ! [V_n,V_x] :
% 183.93/184.00 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.93/184.00 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__le__divide__iff,axiom,
% 183.93/184.00 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2)))
% 183.93/184.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) )
% 183.93/184.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__le__0__iff,axiom,
% 183.93/184.00 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 183.93/184.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__right__mono,axiom,
% 183.93/184.00 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__right__mono__neg,axiom,
% 183.93/184.00 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__strict__right__mono__neg,axiom,
% 183.93/184.00 ! [V_c,V_a,V_b,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__strict__right__mono,axiom,
% 183.93/184.00 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__neg__neg,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__neg__pos,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__pos__neg,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__pos__pos,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__less__0__iff,axiom,
% 183.93/184.00 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 183.93/184.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_zero__less__divide__iff,axiom,
% 183.93/184.00 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2)))
% 183.93/184.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) )
% 183.93/184.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__divide__eq,axiom,
% 183.93/184.00 ! [V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.00 ( class_Fields_Ofield__inverse__zero(T_b)
% 183.93/184.00 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)
% 183.93/184.00 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_ba_2 )
% 183.93/184.00 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__eq__eq,axiom,
% 183.93/184.00 ! [V_a_2,V_ca_2,V_ba_2,T_b] :
% 183.93/184.00 ( class_Fields_Ofield__inverse__zero(T_b)
% 183.93/184.00 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) = V_a_2
% 183.93/184.00 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 => V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) )
% 183.93/184.00 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__divide__mult__cancel__right,axiom,
% 183.93/184.00 ! [V_b,V_a,V_c,T_a] :
% 183.93/184.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__divide__mult__cancel__left,axiom,
% 183.93/184.00 ! [V_b,V_a,V_c,T_a] :
% 183.93/184.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_frac__eq__eq,axiom,
% 183.93/184.00 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 183.93/184.00 ( class_Fields_Ofield(T_b)
% 183.93/184.00 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2)
% 183.93/184.00 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_eq__divide__imp,axiom,
% 183.93/184.00 ! [V_b,V_a,V_c,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 183.93/184.00 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__eq__imp,axiom,
% 183.93/184.00 ! [V_a,V_b,V_c,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nonzero__divide__eq__eq,axiom,
% 183.93/184.00 ! [V_a_2,V_ba_2,V_ca_2,T_b] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_b)
% 183.93/184.00 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) = V_a_2
% 183.93/184.00 <=> V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nonzero__eq__divide__eq,axiom,
% 183.93/184.00 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_b)
% 183.93/184.00 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)
% 183.93/184.00 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_ba_2 ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_right__inverse__eq,axiom,
% 183.93/184.00 ! [V_a_2,V_ba_2,T_b] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_b)
% 183.93/184.00 => ( V_ba_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.00 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2) = c_Groups_Oone__class_Oone(T_b)
% 183.93/184.00 <=> V_a_2 = V_ba_2 ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__self,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__self__if,axiom,
% 183.93/184.00 ! [V_a,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 183.93/184.00 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 183.93/184.00 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nonzero__minus__divide__divide,axiom,
% 183.93/184.00 ! [V_a,V_b,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nonzero__minus__divide__right,axiom,
% 183.93/184.00 ! [V_a,V_b,T_a] :
% 183.93/184.00 ( class_Rings_Odivision__ring(T_a)
% 183.93/184.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nonzero__power__divide,axiom,
% 183.93/184.00 ! [V_n,V_a,V_b,T_a] :
% 183.93/184.00 ( class_Fields_Ofield(T_a)
% 183.93/184.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_nonzero__abs__divide,axiom,
% 183.93/184.00 ! [V_a,V_b,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_power__one__over,axiom,
% 183.93/184.00 ! [V_n,V_a,T_a] :
% 183.93/184.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)),V_n) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 183.93/184.00 ! [V_y,V_x] :
% 183.93/184.00 ( c_Nat__Transfer_Ois__nat(V_x)
% 183.93/184.00 => ( c_Nat__Transfer_Ois__nat(V_y)
% 183.93/184.00 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__nonpos__neg,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__nonpos__pos,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_frac__le,axiom,
% 183.93/184.00 ! [V_z,V_w,V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_frac__less,axiom,
% 183.93/184.00 ! [V_z,V_w,V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_frac__less2,axiom,
% 183.93/184.00 ! [V_z,V_w,V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__nonneg__neg,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__nonneg__pos,axiom,
% 183.93/184.00 ! [V_y,V_x,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__strict__left__mono__neg,axiom,
% 183.93/184.00 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_divide__strict__left__mono,axiom,
% 183.93/184.00 ! [V_c,V_a,V_b,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__divide__less__eq,axiom,
% 183.93/184.00 ! [V_a_2,V_ba_2,V_ca_2,T_b] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_neg__less__divide__eq,axiom,
% 183.93/184.00 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__imp__less__div__pos,axiom,
% 183.93/184.00 ! [V_x,V_z,V_y,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_mult__imp__div__pos__less,axiom,
% 183.93/184.00 ! [V_z,V_x,V_y,T_a] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))
% 183.93/184.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_pos__divide__less__eq,axiom,
% 183.93/184.00 ! [V_a_2,V_ba_2,V_ca_2,T_b] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_b)
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2))
% 183.93/184.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 183.93/184.00
% 183.93/184.00 fof(fact_pos__less__divide__eq,axiom,
% 183.93/184.00 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/184.00 ( class_Fields_Olinordered__field(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__less__eq,axiom,
% 183.93/184.01 ! [V_a_2,V_ca_2,V_ba_2,T_b] :
% 183.93/184.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__divide__eq,axiom,
% 183.93/184.01 ! [V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_is__nat__def,axiom,
% 183.93/184.01 ! [V_x_2] :
% 183.93/184.01 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_add__num__frac,axiom,
% 183.93/184.01 ! [V_x,V_z,V_y,T_a] :
% 183.93/184.01 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.01 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_add__divide__eq__iff,axiom,
% 183.93/184.01 ! [V_y,V_x,V_z,T_a] :
% 183.93/184.01 ( class_Fields_Ofield(T_a)
% 183.93/184.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_add__frac__num,axiom,
% 183.93/184.01 ! [V_z,V_x,V_y,T_a] :
% 183.93/184.01 ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.01 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__add__eq__iff,axiom,
% 183.93/184.01 ! [V_y,V_x,V_z,T_a] :
% 183.93/184.01 ( class_Fields_Ofield(T_a)
% 183.93/184.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_add__frac__eq,axiom,
% 183.93/184.01 ! [V_w,V_x,V_z,V_y,T_a] :
% 183.93/184.01 ( class_Fields_Ofield(T_a)
% 183.93/184.01 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_diff__frac__eq,axiom,
% 183.93/184.01 ! [V_w,V_x,V_z,V_y,T_a] :
% 183.93/184.01 ( class_Fields_Ofield(T_a)
% 183.93/184.01 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__diff__eq__iff,axiom,
% 183.93/184.01 ! [V_y,V_x,V_z,T_a] :
% 183.93/184.01 ( class_Fields_Ofield(T_a)
% 183.93/184.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_diff__divide__eq__iff,axiom,
% 183.93/184.01 ! [V_y,V_x,V_z,T_a] :
% 183.93/184.01 ( class_Fields_Ofield(T_a)
% 183.93/184.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__eq__eq__number__of1,axiom,
% 183.93/184.01 ! [V_a_2,V_w_2,V_ba_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2
% 183.93/184.01 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.01 => V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) )
% 183.93/184.01 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.01 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__eq__eq__number__of,axiom,
% 183.93/184.01 ! [V_w_2,V_ca_2,V_ba_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)
% 183.93/184.01 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.01 => V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2) )
% 183.93/184.01 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_eq__divide__eq__number__of,axiom,
% 183.93/184.01 ! [V_ca_2,V_ba_2,V_w_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)
% 183.93/184.01 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2) = V_ba_2 )
% 183.93/184.01 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_eq__divide__eq__number__of1,axiom,
% 183.93/184.01 ! [V_w_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))
% 183.93/184.01 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_ba_2 )
% 183.93/184.01 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.01 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_gt__half__sum,axiom,
% 183.93/184.01 ! [V_b,V_a,T_a] :
% 183.93/184.01 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))),V_b)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__half__sum,axiom,
% 183.93/184.01 ! [V_b,V_a,T_a] :
% 183.93/184.01 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__Numeral0,axiom,
% 183.93/184.01 ! [V_x,T_a] :
% 183.93/184.01 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.01 & class_Int_Onumber__ring(T_a) )
% 183.93/184.01 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_abs__div__pos,axiom,
% 183.93/184.01 ! [V_x,V_y,T_a] :
% 183.93/184.01 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.01 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)),V_y) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__numeral__1,axiom,
% 183.93/184.01 ! [V_a,T_a] :
% 183.93/184.01 ( ( class_Fields_Ofield(T_a)
% 183.93/184.01 & class_Int_Onumber__ring(T_a) )
% 183.93/184.01 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__Numeral1,axiom,
% 183.93/184.01 ! [V_x,T_a] :
% 183.93/184.01 ( ( class_Fields_Ofield(T_a)
% 183.93/184.01 & class_Int_Onumber__ring(T_a) )
% 183.93/184.01 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_x ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__minus1,axiom,
% 183.93/184.01 ! [V_x,T_a] :
% 183.93/184.01 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.01 & class_Int_Onumber__ring(T_a) )
% 183.93/184.01 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_zero__code__numeral__code,axiom,
% 183.93/184.01 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OPls) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_le__divide__eq,axiom,
% 183.93/184.01 ! [V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__le__eq,axiom,
% 183.93/184.01 ! [V_a_2,V_ca_2,V_ba_2,T_b] :
% 183.93/184.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_pos__le__divide__eq,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/184.01 ( class_Fields_Olinordered__field(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_pos__divide__le__eq,axiom,
% 183.93/184.01 ! [V_a_2,V_ba_2,V_ca_2,T_b] :
% 183.93/184.01 ( class_Fields_Olinordered__field(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mult__imp__div__pos__le,axiom,
% 183.93/184.01 ! [V_z,V_x,V_y,T_a] :
% 183.93/184.01 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mult__imp__le__div__pos,axiom,
% 183.93/184.01 ! [V_x,V_z,V_y,T_a] :
% 183.93/184.01 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_neg__le__divide__eq,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/184.01 ( class_Fields_Olinordered__field(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_neg__divide__le__eq,axiom,
% 183.93/184.01 ! [V_a_2,V_ba_2,V_ca_2,T_b] :
% 183.93/184.01 ( class_Fields_Olinordered__field(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__left__mono,axiom,
% 183.93/184.01 ! [V_c,V_a,V_b,T_a] :
% 183.93/184.01 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__left__mono__neg,axiom,
% 183.93/184.01 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.01 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__divide__eq__number__of1,axiom,
% 183.93/184.01 ! [V_w_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__divide__eq__number__of,axiom,
% 183.93/184.01 ! [V_ca_2,V_ba_2,V_w_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__less__eq__number__of,axiom,
% 183.93/184.01 ! [V_w_2,V_ca_2,V_ba_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__less__eq__number__of1,axiom,
% 183.93/184.01 ! [V_a_2,V_w_2,V_ba_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_power__diff,axiom,
% 183.93/184.01 ! [V_m,V_n,V_a,T_a] :
% 183.93/184.01 ( class_Fields_Ofield(T_a)
% 183.93/184.01 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/184.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_minus1__divide,axiom,
% 183.93/184.01 ! [V_x,T_a] :
% 183.93/184.01 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 183.93/184.01 & class_Int_Onumber__ring(T_a) )
% 183.93/184.01 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_x)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 183.93/184.01 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__le__eq__number__of1,axiom,
% 183.93/184.01 ! [V_a_2,V_w_2,V_ba_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divide__le__eq__number__of,axiom,
% 183.93/184.01 ! [V_w_2,V_ca_2,V_ba_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_le__divide__eq__number__of,axiom,
% 183.93/184.01 ! [V_ca_2,V_ba_2,V_w_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_le__divide__eq__number__of1,axiom,
% 183.93/184.01 ! [V_w_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 183.93/184.01 & class_Int_Onumber(T_b) )
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__of__aux__code,axiom,
% 183.93/184.01 ! [V_n,V_i] :
% 183.93/184.01 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.01 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 183.93/184.01 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.01 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Osize_I1_J,axiom,
% 183.93/184.01 c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Osize_I3_J,axiom,
% 183.93/184.01 hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 183.93/184.01 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_log_Osimps,axiom,
% 183.93/184.01 ! [V_i,V_b] :
% 183.93/184.01 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 183.93/184.01 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 183.93/184.01 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 183.93/184.01 => c_Random_Olog(V_b,V_i) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),c_Random_Olog(V_b,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_i),V_b))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_field__le__epsilon,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Fields_Olinordered__field(T_a)
% 183.93/184.01 => ( ! [B_e] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_minus__shift__def,axiom,
% 183.93/184.01 ! [V_r,V_l,V_k] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 183.93/184.01 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_r),V_k)),V_l) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 183.93/184.01 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k),V_l) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_inc__shift__def,axiom,
% 183.93/184.01 ! [V_k,V_v] :
% 183.93/184.01 ( ( V_v = V_k
% 183.93/184.01 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 183.93/184.01 & ( V_v != V_k
% 183.93/184.01 => c_Random_Oinc__shift(V_v,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_k),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Osize_I4_J,axiom,
% 183.93/184.01 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Osize_I2_J,axiom,
% 183.93/184.01 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_minus__code__numeral__code,axiom,
% 183.93/184.01 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,V_n),V_m) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_subtract__code__numeral__def,axiom,
% 183.93/184.01 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Oinject,axiom,
% 183.93/184.01 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 183.93/184.01 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 183.93/184.01 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 183.93/184.01 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 183.93/184.01 ! [V_code__numeral_H_1] : c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_1) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 183.93/184.01 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Suc__code__numeral__minus__one,axiom,
% 183.93/184.01 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 183.93/184.01 ! [V_w] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 183.93/184.01 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 183.93/184.01 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_diff__nat__number__of,axiom,
% 183.93/184.01 ! [V_v_2,V_v_H_2] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_v_H_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 183.93/184.01 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__step,axiom,
% 183.93/184.01 ! [V_m,V_n] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/184.01 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral__not__eq__zero,axiom,
% 183.93/184.01 ! [V_i_2] :
% 183.93/184.01 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_i_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_beyond__def,axiom,
% 183.93/184.01 ! [V_l,V_k] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 183.93/184.01 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 183.93/184.01 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__zero,axiom,
% 183.93/184.01 ! [V_m] : c_Divides_Odivmod__nat(V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 183.93/184.01 ! [V_m_2,V_n_2] :
% 183.93/184.01 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 183.93/184.01 <=> V_n_2 = V_m_2 ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 183.93/184.01 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_fun__Compl__def,axiom,
% 183.93/184.01 ! [V_x_2,V_A_2,T_c,T_b] :
% 183.93/184.01 ( class_Groups_Ouminus(T_b)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_fun__diff__def,axiom,
% 183.93/184.01 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 183.93/184.01 ( class_Groups_Ominus(T_b)
% 183.93/184.01 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 183.93/184.01 ! [V_n_2,V_m_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 183.93/184.01 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__base,axiom,
% 183.93/184.01 ! [V_n,V_m] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/184.01 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__eq__Suc__le__raw,axiom,
% 183.93/184.01 ! [V_n_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_diff__Suc,axiom,
% 183.93/184.01 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__number__of__Bit0,axiom,
% 183.93/184.01 ! [V_w_2] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_times__code__numeral__code,axiom,
% 183.93/184.01 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__div__mod,axiom,
% 183.93/184.01 ! [V_n,V_m] : c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_power__number__of__even,axiom,
% 183.93/184.01 ! [V_w_2,V_z_2,T_b] :
% 183.93/184.01 ( class_Int_Onumber__ring(T_b)
% 183.93/184.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_zpower__number__of__even,axiom,
% 183.93/184.01 ! [V_w_2,V_z_2] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_COMBI(tc_Int_Oint))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_beyond__zero,axiom,
% 183.93/184.01 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_power__number__of__even__number__of,axiom,
% 183.93/184.01 ! [V_w_2,V_v_2,T_b] :
% 183.93/184.01 ( class_Int_Onumber__ring(T_b)
% 183.93/184.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_diff__nat__eq__if,axiom,
% 183.93/184.01 ! [V_z_2,V_z_H_2] :
% 183.93/184.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(c_Int_Onat,V_z_2) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),V_z_H_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negDivAlg__div__mod,axiom,
% 183.93/184.01 ! [V_l,V_k] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.93/184.01 => c_Divides_OnegDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negDivAlg__minus1,axiom,
% 183.93/184.01 ! [V_b] : c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 183.93/184.01 ! [V_n_2,T_b] :
% 183.93/184.01 ( class_Rings_Osemiring__1(T_b)
% 183.93/184.01 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_adjust__eq,axiom,
% 183.93/184.01 ! [V_r_2,V_q_2,V_ba_2] : hAPP(c_Divides_Oadjust(V_ba_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_r_2),V_ba_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),V_r_2))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_zero__code__numeral__def,axiom,
% 183.93/184.01 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_one__code__numeral__def,axiom,
% 183.93/184.01 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__code__numeral__code,axiom,
% 183.93/184.01 ! [V_m_2,V_n_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Suc__eq__number__of,axiom,
% 183.93/184.01 ! [V_v_2,V_n_2] :
% 183.93/184.01 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_eq__number__of__Suc,axiom,
% 183.93/184.01 ! [V_n_2,V_v_2] :
% 183.93/184.01 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__case__number__of,axiom,
% 183.93/184.01 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__rec__number__of,axiom,
% 183.93/184.01 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_plus__code__numeral__code,axiom,
% 183.93/184.01 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__eq__code__numeral__code,axiom,
% 183.93/184.01 ! [V_m_2,V_n_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__number__of__Bit1,axiom,
% 183.93/184.01 ! [V_w_2] :
% 183.93/184.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 183.93/184.01 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 183.93/184.01 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat)))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__Suc__number__of,axiom,
% 183.93/184.01 ! [V_v_2,V_n_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__number__of__Suc,axiom,
% 183.93/184.01 ! [V_n_2,V_v_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_le__Suc__number__of,axiom,
% 183.93/184.01 ! [V_v_2,V_n_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_le__number__of__Suc,axiom,
% 183.93/184.01 ! [V_n_2,V_v_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_subtract__code__numeral__code,axiom,
% 183.93/184.01 ! [V_m,V_n] : hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__case__add__eq__if,axiom,
% 183.93/184.01 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__rec__add__eq__if,axiom,
% 183.93/184.01 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_power__number__of__odd,axiom,
% 183.93/184.01 ! [V_z_2,V_w_2,T_b] :
% 183.93/184.01 ( class_Int_Onumber__ring(T_b)
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 183.93/184.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 183.93/184.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_zpower__number__of__odd,axiom,
% 183.93/184.01 ! [V_z_2,V_w_2] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 183.93/184.01 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z_2))),c_COMBI(tc_Int_Oint))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 183.93/184.01 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negDivAlg_Osimps,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.01 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 183.93/184.01 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.01 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_power__number__of__odd__number__of,axiom,
% 183.93/184.01 ! [V_v_2,V_w_2,T_b] :
% 183.93/184.01 ( class_Int_Onumber__ring(T_b)
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 183.93/184.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 183.93/184.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 183.93/184.01 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negDivAlg__eqn,axiom,
% 183.93/184.01 ! [V_a,V_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 183.93/184.01 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 183.93/184.01 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negDivAlg__eqn__number__of,axiom,
% 183.93/184.01 ! [V_w,V_v] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 183.93/184.01 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 183.93/184.01 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_norm__frac_Osimps,axiom,
% 183.93/184.01 ! [V_a_2,V_ba_2] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => c_Nitpick_Onorm__frac(V_a_2,V_ba_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.93/184.01 => c_Nitpick_Onorm__frac(V_a_2,V_ba_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 183.93/184.01 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.93/184.01 => c_Nitpick_Onorm__frac(V_a_2,V_ba_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_ba_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_ba_2))) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 183.93/184.01 ! [V_w] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.93/184.01 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.93/184.01 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_posDivAlg_Osimps,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.01 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 183.93/184.01 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.01 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_adjust__def,axiom,
% 183.93/184.01 ! [V_ba_2] : c_Divides_Oadjust(V_ba_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_ba_2))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_ba_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_posDivAlg__eqn__number__of,axiom,
% 183.93/184.01 ! [V_w,V_v] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.01 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 183.93/184.01 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_posDivAlg__eqn,axiom,
% 183.93/184.01 ! [V_a,V_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.93/184.01 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 183.93/184.01 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_posDivAlg__0,axiom,
% 183.93/184.01 ! [V_b] : c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_posDivAlg__div__mod,axiom,
% 183.93/184.01 ! [V_l,V_k] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 183.93/184.01 => c_Divides_OposDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_of__int__num,axiom,
% 183.93/184.01 ! [V_k_2,T_b] :
% 183.93/184.01 ( class_Rings_Oring__1(T_b)
% 183.93/184.01 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 183.93/184.01 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_MGT__def,axiom,
% 183.93/184.01 ! [V_ca_2] : c_Hoare__Mirabelle_OMGT(V_ca_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),V_ca_2),c_Natural_Oevalc(V_ca_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 183.93/184.01 ! [V_a,V_r,V_q,V_c,V_b] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r),V_c)))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 183.93/184.01 ! [V_c,V_r,V_q,V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negDivAlg_Opsimps,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_ba_2)))
% 183.93/184.01 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_ba_2)))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.01 => c_Divides_OnegDivAlg(V_a_2,V_ba_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_ba_2)) )
% 183.93/184.01 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_ba_2)))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.01 => c_Divides_OnegDivAlg(V_a_2,V_ba_2) = hAPP(c_Divides_Oadjust(V_ba_2),c_Divides_OnegDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_ba_2))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_accp__downward,axiom,
% 183.93/184.01 ! [V_a_2,V_ba_2,V_r_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_ba_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2))
% 183.93/184.01 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_accp_Oequations,axiom,
% 183.93/184.01 ! [V_a_2,V_r_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 183.93/184.01 <=> ! [B_x] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 183.93/184.01 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_accp_Osimps,axiom,
% 183.93/184.01 ! [V_a_2,V_r_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 183.93/184.01 <=> ! [B_x] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 183.93/184.01 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__rel__unique,axiom,
% 183.93/184.01 ! [V_qr_H,V_qr,V_n,V_m] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 183.93/184.01 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 183.93/184.01 => V_qr = V_qr_H ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_accp__subset,axiom,
% 183.93/184.01 ! [V_R2_2,V_R1_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__eq,axiom,
% 183.93/184.01 ! [V_qr,V_n,V_m] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 183.93/184.01 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 183.93/184.01 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mod__eq,axiom,
% 183.93/184.01 ! [V_r,V_q,V_n,V_m] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 183.93/184.01 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__eq,axiom,
% 183.93/184.01 ! [V_r,V_q,V_n,V_m] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 183.93/184.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__rel,axiom,
% 183.93/184.01 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__mod__div,axiom,
% 183.93/184.01 ! [V_q,V_p] : c_Divides_Odivmod__int(V_p,V_q) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_p),V_q)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_p,V_q)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 183.93/184.01 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aq),V_ar)))
% 183.93/184.01 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_bq),V_br)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br),V_c)))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_posDivAlg_Opsimps,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_ba_2)))
% 183.93/184.01 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_ba_2))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.01 => c_Divides_OposDivAlg(V_a_2,V_ba_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2) )
% 183.93/184.01 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_ba_2))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.01 => c_Divides_OposDivAlg(V_a_2,V_ba_2) = hAPP(c_Divides_Oadjust(V_ba_2),c_Divides_OposDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_ba_2))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_norm__frac_Opsimps,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_ba_2)))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => c_Nitpick_Onorm__frac(V_a_2,V_ba_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_ba_2)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.93/184.01 => c_Nitpick_Onorm__frac(V_a_2,V_ba_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 183.93/184.01 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 183.93/184.01 => c_Nitpick_Onorm__frac(V_a_2,V_ba_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_ba_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_ba_2))) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_OFrac__def,axiom,
% 183.93/184.01 c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_fequal)),c_Nitpick_Oint__gcd))),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__def,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 183.93/184.01 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negDivAlg_Opinduct,axiom,
% 183.93/184.01 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 183.93/184.01 => ( ! [B_a,B_b] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 183.93/184.01 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_a),B_b)))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negateSnd__eq,axiom,
% 183.93/184.01 ! [V_r,V_q] : hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_r)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_splitI,axiom,
% 183.93/184.01 ! [T_c,T_b,V_ba_2,V_a_2,V_f_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_ba_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_prod__caseI,axiom,
% 183.93/184.01 ! [T_c,T_b,V_ba_2,V_a_2,V_f1_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_ba_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_posDivAlg_Opinduct,axiom,
% 183.93/184.01 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 183.93/184.01 => ( ! [B_a,B_b] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 183.93/184.01 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__gcd_Opsimps,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)))
% 183.93/184.01 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.01 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 183.93/184.01 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.01 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = c_Nitpick_Onat__gcd(V_y_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_y_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__pdivmod,axiom,
% 183.93/184.01 ! [V_l_2,V_k_2] :
% 183.93/184.01 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 183.93/184.01 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 183.93/184.01 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fdisj,hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l_2)),hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))),hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_apsnd__conv,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_split__paired__All,axiom,
% 183.93/184.01 ! [T_c,T_b,V_Pa_2] :
% 183.93/184.01 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.93/184.01 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Pair__eq,axiom,
% 183.93/184.01 ! [V_b_H_2,V_a_H_2,V_ba_2,V_a_2,T_c,T_b] :
% 183.93/184.01 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2)
% 183.93/184.01 <=> ( V_a_2 = V_a_H_2
% 183.93/184.01 & V_ba_2 = V_b_H_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Pair__inject,axiom,
% 183.93/184.01 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 183.93/184.01 ( 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)
% 183.93/184.01 => ~ ( V_a = V_a_H
% 183.93/184.01 => V_b != V_b_H ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negateSnd__def,axiom,
% 183.93/184.01 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_split__weak__cong,axiom,
% 183.93/184.01 ! [V_ca_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 183.93/184.01 ( V_p_2 = V_q_2
% 183.93/184.01 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_ca_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_ca_2),V_q_2) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_prod_Osimps_I2_J,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_ba_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_split__conv,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)) = hAPP(hAPP(V_f_2,V_a_2),V_ba_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_splitD,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,V_f_2,T_c,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_ba_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_split__eta,axiom,
% 183.93/184.01 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_split__twice,axiom,
% 183.93/184.01 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_pdivmod__def,axiom,
% 183.93/184.01 ! [V_l,V_k] : c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_pdivmod__posDivAlg,axiom,
% 183.93/184.01 ! [V_k,V_l] :
% 183.93/184.01 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)) )
% 183.93/184.01 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Opdivmod(V_k,V_l) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__code,axiom,
% 183.93/184.01 ! [V_l_2,V_k_2] :
% 183.93/184.01 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 183.93/184.01 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 183.93/184.01 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fequal,c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_k_2)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__mod__code__numeral__def,axiom,
% 183.93/184.01 ! [V_m,V_n] : c_Code__Numeral_Odiv__mod__code__numeral(V_n,V_m) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m)),c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_zmult2__lemma,axiom,
% 183.93/184.01 ! [V_c,V_r,V_q,V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 183.93/184.01 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mod__pos__neg__1__number__of,axiom,
% 183.93/184.01 ! [V_w] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__rel__def,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2] : c_Divides_Odivmod__int__rel(V_a_2,V_ba_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fequal,V_a_2))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ba_2)))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Int_Oint)),V_ba_2))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(c_fNot,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_norm__frac_Opinduct,axiom,
% 183.93/184.01 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 183.93/184.01 => ( ! [B_a,B_b] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_splitD_H,axiom,
% 183.93/184.01 ! [V_ca_2,V_ba_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_ca_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_ba_2),V_ca_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_snd__conv,axiom,
% 183.93/184.01 ! [V_b,V_a,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a),V_b)) = V_b ).
% 183.93/184.01
% 183.93/184.01 fof(fact_snd__eqD,axiom,
% 183.93/184.01 ! [V_a,V_y,V_x,T_a,T_b] :
% 183.93/184.01 ( hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x),V_y)) = V_a
% 183.93/184.01 => V_y = V_a ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_apsnd__eq__conv,axiom,
% 183.93/184.01 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 183.93/184.01 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2)
% 183.93/184.01 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_snd__apsnd,axiom,
% 183.93/184.01 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_snd__def,axiom,
% 183.93/184.01 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mod__int__def,axiom,
% 183.93/184.01 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__rel__0,axiom,
% 183.93/184.01 ! [V_b] :
% 183.93/184.01 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_self__remainder,axiom,
% 183.93/184.01 ! [V_r,V_q,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 183.93/184.01 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_unique__quotient,axiom,
% 183.93/184.01 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 183.93/184.01 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 183.93/184.01 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => V_q = V_q_H ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_unique__remainder,axiom,
% 183.93/184.01 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 183.93/184.01 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 183.93/184.01 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => V_r = V_r_H ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__rel__neg,axiom,
% 183.93/184.01 ! [V_qr,V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)),V_qr))
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__correct,axiom,
% 183.93/184.01 ! [V_a,V_b] :
% 183.93/184.01 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_self__quotient,axiom,
% 183.93/184.01 ! [V_r,V_q,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 183.93/184.01 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__rel__mod,axiom,
% 183.93/184.01 ! [V_r,V_q,V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 183.93/184.01 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__rel__div,axiom,
% 183.93/184.01 ! [V_r,V_q,V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 183.93/184.01 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_negDivAlg__correct,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mod__neg__pos,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__rel__div__mod,axiom,
% 183.93/184.01 ! [V_a,V_b] :
% 183.93/184.01 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_posDivAlg__correct,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mod__pos__pos,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mod__pos__pos__1__number__of,axiom,
% 183.93/184.01 ! [V_w] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.93/184.01 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_zadd1__lemma,axiom,
% 183.93/184.01 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_aq),V_ar)))
% 183.93/184.01 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_bq),V_br)))
% 183.93/184.01 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br),V_c)))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_zminus1__lemma,axiom,
% 183.93/184.01 ! [V_r_2,V_q_2,V_ba_2,V_a_2] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a_2,V_ba_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)))
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),V_ba_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ba_2),V_r_2))))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mod__pos__neg,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__if,axiom,
% 183.93/184.01 ! [V_m_2,V_n_2] :
% 183.93/184.01 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 183.93/184.01 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) )
% 183.93/184.01 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 183.93/184.01 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2),V_n_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__int__relI,axiom,
% 183.93/184.01 ! [V_r,V_q,V_b,V_a] :
% 183.93/184.01 ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)
% 183.93/184.01 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 183.93/184.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 183.93/184.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mod__neg__neg,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_zmult1__lemma,axiom,
% 183.93/184.01 ! [V_a,V_r,V_q,V_c,V_b] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 183.93/184.01 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r),V_c)))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_equalityI,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.01 => V_A_2 = V_B_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__pos__neg__1__number__of,axiom,
% 183.93/184.01 ! [V_w] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__gcd_Opinduct,axiom,
% 183.93/184.01 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a0_2),V_a1_2)))
% 183.93/184.01 => ( ! [B_x,B_y] :
% 183.93/184.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)))
% 183.93/184.01 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__neg__neg,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__number__of__Suc,axiom,
% 183.93/184.01 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__0L,axiom,
% 183.93/184.01 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__0R,axiom,
% 183.93/184.01 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__Suc__Suc,axiom,
% 183.93/184.01 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__le__iff__disj,axiom,
% 183.93/184.01 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__le1,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__le2,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_y)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__iff__inf,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/184.01 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__inf__iff,axiom,
% 183.93/184.01 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2)))
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/184.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__infI1,axiom,
% 183.93/184.01 ! [V_b,V_x,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__infI2,axiom,
% 183.93/184.01 ! [V_a,V_x,V_b,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__absorb1,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__absorb2,axiom,
% 183.93/184.01 ! [V_x,V_y,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__infI,axiom,
% 183.93/184.01 ! [V_b,V_a,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__greatest,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__mono,axiom,
% 183.93/184.01 ! [V_d,V_b,V_c,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_c),V_d))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__infE,axiom,
% 183.93/184.01 ! [V_b,V_a,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)))
% 183.93/184.01 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.93/184.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__diff__distrib__left,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oless__infI1,axiom,
% 183.93/184.01 ! [V_b,V_x,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oless__infI2,axiom,
% 183.93/184.01 ! [V_a,V_x,V_b,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__less__iff__disj,axiom,
% 183.93/184.01 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__less__iff__conj,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)))
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 183.93/184.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__add__distrib__left,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__assoc,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf_Oassoc,axiom,
% 183.93/184.01 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__left__commute,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 183.93/184.01 ! [V_c,V_a,V_b,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__left__idem,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 183.93/184.01 ! [V_b,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__commute,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf_Ocommute,axiom,
% 183.93/184.01 ! [V_b,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf_Oidem,axiom,
% 183.93/184.01 ! [V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__diff,axiom,
% 183.93/184.01 ! [V_n,V_i,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_i)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)),V_i) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_fst__eqD,axiom,
% 183.93/184.01 ! [V_a,V_y,V_x,T_b,T_a] :
% 183.93/184.01 ( hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) = V_a
% 183.93/184.01 => V_x = V_a ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_fst__conv,axiom,
% 183.93/184.01 ! [V_b,V_a,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)) = V_a ).
% 183.93/184.01
% 183.93/184.01 fof(fact_prod__eqI,axiom,
% 183.93/184.01 ! [V_q,V_p,T_b,T_a] :
% 183.93/184.01 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 183.93/184.01 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 183.93/184.01 => V_p = V_q ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Pair__fst__snd__eq,axiom,
% 183.93/184.01 ! [T_c,T_b,V_t_2,V_s_2] :
% 183.93/184.01 ( V_s_2 = V_t_2
% 183.93/184.01 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 183.93/184.01 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_fst__apsnd,axiom,
% 183.93/184.01 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_fst__def,axiom,
% 183.93/184.01 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__number__of,axiom,
% 183.93/184.01 ! [V_v,V_u,T_b] :
% 183.93/184.01 ( ( class_Int_Onumber(T_b)
% 183.93/184.01 & class_Orderings_Oord(T_b) )
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_surjective__pairing,axiom,
% 183.93/184.01 ! [T_b,T_a,V_t] : V_t = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_t)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_t)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_pair__collapse,axiom,
% 183.93/184.01 ! [V_p,T_b,T_a] : hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p)) = V_p ).
% 183.93/184.01
% 183.93/184.01 fof(fact_prod__case__beta,axiom,
% 183.93/184.01 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__int__def,axiom,
% 183.93/184.01 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mod__nat__def,axiom,
% 183.93/184.01 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_split__beta,axiom,
% 183.93/184.01 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_split__comp__eq,axiom,
% 183.93/184.01 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_split__def,axiom,
% 183.93/184.01 ! [V_p_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_ca_2),V_p_2) = hAPP(hAPP(V_ca_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_double__diff,axiom,
% 183.93/184.01 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Diff__mono,axiom,
% 183.93/184.01 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Diff__subset,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Compl__anti__mono,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Compl__subset__Compl__iff,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_equalityE,axiom,
% 183.93/184.01 ! [T_b,V_B_2,V_A_2] :
% 183.93/184.01 ( V_A_2 = V_B_2
% 183.93/184.01 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_subset__trans,axiom,
% 183.93/184.01 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_equalityD2,axiom,
% 183.93/184.01 ! [T_b,V_B_2,V_A_2] :
% 183.93/184.01 ( V_A_2 = V_B_2
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_equalityD1,axiom,
% 183.93/184.01 ! [T_b,V_B_2,V_A_2] :
% 183.93/184.01 ( V_A_2 = V_B_2
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_set__eq__subset,axiom,
% 183.93/184.01 ! [T_b,V_B_2,V_A_2] :
% 183.93/184.01 ( V_A_2 = V_B_2
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_subset__refl,axiom,
% 183.93/184.01 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_subset__psubset__trans,axiom,
% 183.93/184.01 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_psubset__subset__trans,axiom,
% 183.93/184.01 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_psubset__imp__subset,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_subset__iff__psubset__eq,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 | V_A_2 = V_B_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_psubset__eq,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 & V_A_2 != V_B_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__Suc1,axiom,
% 183.93/184.01 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),V_m_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__Suc2,axiom,
% 183.93/184.01 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_n_2)),V_m_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__neg__pos,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__pos__pos,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 183.93/184.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__pos__pos__1__number__of,axiom,
% 183.93/184.01 ! [V_w] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 183.93/184.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__pos__neg,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 183.93/184.01 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__Suc__number__of,axiom,
% 183.93/184.01 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_prod__size__simp,axiom,
% 183.93/184.01 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_conjI__realizer,axiom,
% 183.93/184.01 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] :
% 183.93/184.01 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 183.93/184.01 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 183.93/184.01 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2))))
% 183.93/184.01 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_exI__realizer,axiom,
% 183.93/184.01 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__ord__min,axiom,
% 183.93/184.01 ! [T_b] :
% 183.93/184.01 ( class_Orderings_Oord(T_b)
% 183.93/184.01 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_prod_Orecs,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_ba_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Compl__eq__Compl__iff,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)
% 183.93/184.01 <=> V_A_2 = V_B_2 ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_double__complement,axiom,
% 183.93/184.01 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Diff__idemp,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_psubset__trans,axiom,
% 183.93/184.01 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__nat__def,axiom,
% 183.93/184.01 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__rel__def,axiom,
% 183.93/184.01 ! [V_qr_2,V_n_2,V_m_2] :
% 183.93/184.01 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 183.93/184.01 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))
% 183.93/184.01 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.01 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 183.93/184.01 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 183.93/184.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)) ) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 183.93/184.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_range,axiom,
% 183.93/184.01 ! [V_s,V_k] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_k))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Orange(V_k),V_s))),V_k)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 183.93/184.01 ! [V_i_2,V_xq_2] : hAPP(c_New__DSequence_Opos__not__seq(V_xq_2),V_i_2) = c_Lazy__Sequence_Ohb__not__seq(hAPP(V_xq_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_i_2))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__number__of__Suc,axiom,
% 183.93/184.01 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__Suc__number__of,axiom,
% 183.93/184.01 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_apsnd__apfst,axiom,
% 183.93/184.01 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__diff__distrib__left,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__max__iff__disj,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__less__iff__conj,axiom,
% 183.93/184.01 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 183.93/184.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oless__supI2,axiom,
% 183.93/184.01 ! [V_a,V_b,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oless__supI1,axiom,
% 183.93/184.01 ! [V_b,V_a,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__inf__absorb,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 183.93/184.01 ! [V_x,V_z,V_y,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 183.93/184.01 ! [V_x,V_z,V_y,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__0L,axiom,
% 183.93/184.01 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__0R,axiom,
% 183.93/184.01 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__Suc__Suc,axiom,
% 183.93/184.01 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m),V_n)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_le__max__iff__disj,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 183.93/184.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_le__maxI1,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_le__maxI2,axiom,
% 183.93/184.01 ! [V_x,V_y,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__iff__sup,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/184.01 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__sup__iff,axiom,
% 183.93/184.01 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 183.93/184.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__supI1,axiom,
% 183.93/184.01 ! [V_b,V_a,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__supI2,axiom,
% 183.93/184.01 ! [V_a,V_b,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__absorb2,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__absorb1,axiom,
% 183.93/184.01 ! [V_x,V_y,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__supI,axiom,
% 183.93/184.01 ! [V_b,V_x,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__least,axiom,
% 183.93/184.01 ! [V_z,V_x,V_y,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__mono,axiom,
% 183.93/184.01 ! [V_d,V_b,V_c,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_c),V_d))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Ole__supE,axiom,
% 183.93/184.01 ! [V_x,V_b,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x))
% 183.93/184.01 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.93/184.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__add__distrib__left,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__assoc,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup_Oassoc,axiom,
% 183.93/184.01 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__left__commute,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 183.93/184.01 ! [V_c,V_a,V_b,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__left__idem,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 183.93/184.01 ! [V_b,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup__commute,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup_Ocommute,axiom,
% 183.93/184.01 ! [V_b,V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_a) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Osup_Oidem,axiom,
% 183.93/184.01 ! [V_a,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_apfst__conv,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_apfst__eq__conv,axiom,
% 183.93/184.01 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 183.93/184.01 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2)
% 183.93/184.01 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_fst__apfst,axiom,
% 183.93/184.01 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_snd__apfst,axiom,
% 183.93/184.01 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__number__of,axiom,
% 183.93/184.01 ! [V_v,V_u,T_b] :
% 183.93/184.01 ( ( class_Int_Onumber(T_b)
% 183.93/184.01 & class_Orderings_Oord(T_b) )
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Odistrib__inf__le,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_min__max_Odistrib__sup__le,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_minus__max__eq__min,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 183.93/184.01 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_minus__min__eq__max,axiom,
% 183.93/184.01 ! [V_y,V_x,T_a] :
% 183.93/184.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 183.93/184.01 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__minus__add__max,axiom,
% 183.93/184.01 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)),V_m) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),V_m) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_apsnd__apfst__commute,axiom,
% 183.93/184.01 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__Suc1,axiom,
% 183.93/184.01 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),V_m_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__Suc2,axiom,
% 183.93/184.01 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_n_2)),V_m_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_apfst__apsnd,axiom,
% 183.93/184.01 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dual__min,axiom,
% 183.93/184.01 ! [T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_max__ord__max,axiom,
% 183.93/184.01 ! [T_b] :
% 183.93/184.01 ( class_Orderings_Oord(T_b)
% 183.93/184.01 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral__decr,axiom,
% 183.93/184.01 ! [V_k] :
% 183.93/184.01 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_k)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Code__Numeral_Onat__of,V_k))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 183.93/184.01 ! [T_a] : c_Nitpick_Ozero__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_pos__not__random__dseq__def,axiom,
% 183.93/184.01 ! [V_seed_2,V_size_2,V_nrandom_2,V_R_2] : c_New__Random__Sequence_Opos__not__random__dseq(V_R_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 183.93/184.01 ! [V_l_2,V_k_2] :
% 183.93/184.01 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 183.93/184.01 <=> V_k_2 = V_l_2 ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_code__numeral_Onat__of__inject,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2] :
% 183.93/184.01 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 183.93/184.01 <=> V_x_2 = V_y_2 ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__of__of__nat,axiom,
% 183.93/184.01 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 183.93/184.01
% 183.93/184.01 fof(fact_of__nat__nat__of,axiom,
% 183.93/184.01 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__of__inverse,axiom,
% 183.93/184.01 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__code__numeral__def,axiom,
% 183.93/184.01 ! [V_m_2,V_n_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__of__number,axiom,
% 183.93/184.01 ! [V_k] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),V_k)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_k) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_less__eq__code__numeral__def,axiom,
% 183.93/184.01 ! [V_m_2,V_n_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__of__code,axiom,
% 183.93/184.01 ! [V_i] : hAPP(c_Code__Numeral_Onat__of,V_i) = c_Code__Numeral_Onat__of__aux(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__of__aux__def,axiom,
% 183.93/184.01 ! [V_n,V_i] : c_Code__Numeral_Onat__of__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_i)),V_n) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Min_Oidem,axiom,
% 183.93/184.01 ! [V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Max_Oidem,axiom,
% 183.93/184.01 ! [V_x,T_a] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_a)
% 183.93/184.01 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dual__max,axiom,
% 183.93/184.01 ! [T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Suc__code__numeral__def,axiom,
% 183.93/184.01 ! [V_k] : c_Code__Numeral_OSuc__code__numeral(V_k) = hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,V_k))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_minus__code__numeral__def,axiom,
% 183.93/184.01 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_plus__code__numeral__def,axiom,
% 183.93/184.01 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_div__code__numeral__def,axiom,
% 183.93/184.01 ! [V_m,V_n] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_times__code__numeral__def,axiom,
% 183.93/184.01 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_mod__code__numeral__def,axiom,
% 183.93/184.01 ! [V_m,V_n] : c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m) = hAPP(c_Code__Numeral_Oof__nat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,V_n),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Oone__frac__def,axiom,
% 183.93/184.01 ! [T_a] : c_Nitpick_Oone__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 183.93/184.01 ! [V_n,T_a] : c_Nitpick_Onumber__of__frac(T_a,V_n) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_n),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Ofrac__def,axiom,
% 183.93/184.01 ! [V_b,V_a,T_a] : hAPP(hAPP(c_Nitpick_Ofrac(T_a),V_a),V_b) = c_Nitpick_OAbs__Frac(T_a,c_Nitpick_Onorm__frac(V_a,V_b)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_surjective__sum,axiom,
% 183.93/184.01 ! [V_f_2,T_c,T_d,T_b] : c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,hAPP(hAPP(c_COMBB(tc_sum(T_b,T_c),T_d,T_b),V_f_2),c_Sum__Type_OInl(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_sum(T_b,T_c),T_d,T_c),V_f_2),c_Sum__Type_OInr(T_c,T_b))) = V_f_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_iterate_Osimps,axiom,
% 183.93/184.01 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 183.93/184.01 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.01 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) )
% 183.93/184.01 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.01 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_sum__case__KK,axiom,
% 183.93/184.01 ! [V_x_2,V_a_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_Osum_Osum__case(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_a_2),hAPP(c_COMBK(T_b,T_d),V_a_2)),V_x_2) = V_a_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_scomp__scomp,axiom,
% 183.93/184.01 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_sum__case__inject,axiom,
% 183.93/184.01 ! [V_g2_2,V_g1_2,V_f2_2,V_f1_2,T_c,T_d,T_b] :
% 183.93/184.01 ( c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_f1_2,V_f2_2) = c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_g1_2,V_g2_2)
% 183.93/184.01 => ~ ( V_f1_2 = V_g1_2
% 183.93/184.01 => V_f2_2 != V_g2_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_sum__case__weak__cong,axiom,
% 183.93/184.01 ! [V_g_2,V_f_2,T_c,T_d,T_b,V_t_2,V_s_2] :
% 183.93/184.01 ( V_s_2 = V_t_2
% 183.93/184.01 => hAPP(c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_f_2,V_g_2),V_s_2) = hAPP(c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_f_2,V_g_2),V_t_2) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_scomp__Pair,axiom,
% 183.93/184.01 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Pair__scomp,axiom,
% 183.93/184.01 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_scomp__apply,axiom,
% 183.93/184.01 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_sum_Osimps_I6_J,axiom,
% 183.93/184.01 ! [V_ba_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_Osum_Osum__case(T_c,T_b,T_d,V_f1_2,V_f2_2),hAPP(c_Sum__Type_OInr(T_d,T_c),V_ba_2)) = hAPP(V_f2_2,V_ba_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_sum_Osimps_I5_J,axiom,
% 183.93/184.01 ! [V_a_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_Osum_Osum__case(T_c,T_b,T_d,V_f1_2,V_f2_2),hAPP(c_Sum__Type_OInl(T_c,T_d),V_a_2)) = hAPP(V_f1_2,V_a_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_scomp__def,axiom,
% 183.93/184.01 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_scomp__unfold,axiom,
% 183.93/184.01 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 183.93/184.01 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_internal__split__def,axiom,
% 183.93/184.01 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_transfer__morphism__int__nat,axiom,
% 183.93/184.01 c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 183.93/184.01 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 183.93/184.01 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.01 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) )
% 183.93/184.01 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.01 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 183.93/184.01 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 183.93/184.01 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.01 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) )
% 183.93/184.01 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 183.93/184.01 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_internal__split__conv,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)) = hAPP(hAPP(V_ca_2,V_a_2),V_ba_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 183.93/184.01 ! [V_r,V_q,T_a] : c_Nitpick_Otimes__frac(T_a,V_q,V_r) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_r))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Odenom(T_a),V_r))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Oof__frac__def,axiom,
% 183.93/184.01 ! [V_q,T_a,T_b] :
% 183.93/184.01 ( ( class_Rings_Oinverse(T_b)
% 183.93/184.01 & class_Rings_Oring__1(T_b) )
% 183.93/184.01 => c_Nitpick_Oof__frac(T_a,T_b,V_q) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Odenom(T_a),V_q))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 183.93/184.01 ! [V_q,T_a] : c_Nitpick_Oinverse__frac(T_a,V_q) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_q)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 183.93/184.01 ! [V_q,T_a] : c_Nitpick_Ouminus__frac(T_a,V_q) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Nitpick_Odenom(T_a),V_q))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 183.93/184.01 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Oless__frac__def,axiom,
% 183.93/184.01 ! [V_r_2,V_q_2,T_b] :
% 183.93/184.01 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 183.93/184.01 ! [V_r_2,V_q_2,T_b] :
% 183.93/184.01 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 183.93/184.01 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 183.93/184.01 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 183.93/184.01 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_pos__empty__def,axiom,
% 183.93/184.01 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_neg__bind__def,axiom,
% 183.93/184.01 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 183.93/184.01 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_predicate2D,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Q_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_rev__predicate2D,axiom,
% 183.93/184.01 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Q_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_predicate1D,axiom,
% 183.93/184.01 ! [V_x_2,V_Q_2,V_Pa_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 183.93/184.01 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.93/184.01 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_rev__predicate1D,axiom,
% 183.93/184.01 ! [V_Q_2,T_b,V_x_2,V_Pa_2] :
% 183.93/184.01 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 183.93/184.01 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_pos__bind__def,axiom,
% 183.93/184.01 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_The__split,axiom,
% 183.93/184.01 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Random_Osimps,axiom,
% 183.93/184.01 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 183.93/184.01 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) )
% 183.93/184.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 183.93/184.01 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_exE__realizer,axiom,
% 183.93/184.01 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2)))
% 183.93/184.01 => ( ! [B_x,B_y] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 183.93/184.01 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 183.93/184.01 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_curry__def,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_ca_2),V_x_2),V_y_2) = hAPP(V_ca_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_curryI,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,T_c,T_b,V_f_2] :
% 183.93/184.01 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_ba_2)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_curryD,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,V_f_2,T_c,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_ba_2))
% 183.93/184.01 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_curryE,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,V_f_2,T_c,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_ba_2))
% 183.93/184.01 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_curry__conv,axiom,
% 183.93/184.01 ! [V_ba_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_ba_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_split__curry,axiom,
% 183.93/184.01 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_curry__split,axiom,
% 183.93/184.01 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_split__paired__The,axiom,
% 183.93/184.01 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_The__split__eq,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_divmod__nat__def,axiom,
% 183.93/184.01 ! [V_n_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_n_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_n_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Random__Sequence_Oempty__def,axiom,
% 183.93/184.01 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Random__Sequence_Osingle__def,axiom,
% 183.93/184.01 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_the__eq__trivial,axiom,
% 183.93/184.01 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_the__sym__eq__trivial,axiom,
% 183.93/184.01 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Powp__def,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 183.93/184.01 <=> ! [B_x] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 183.93/184.01 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_Powp__mono,axiom,
% 183.93/184.01 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_power__dvd__imp__le,axiom,
% 183.93/184.01 ! [V_n,V_m,V_i] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd__mult__cancel2,axiom,
% 183.93/184.01 ! [V_n_2,V_m_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_m_2)),V_m_2))
% 183.93/184.01 <=> V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd__mult__cancel1,axiom,
% 183.93/184.01 ! [V_n_2,V_m_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_m_2))
% 183.93/184.01 <=> V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_zdvd__mult__cancel1,axiom,
% 183.93/184.01 ! [V_n_2,V_m_2] :
% 183.93/184.01 ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2)),V_m_2))
% 183.93/184.01 <=> hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_arith__series__int,axiom,
% 183.93/184.01 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oorder__refl,axiom,
% 183.93/184.01 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd__0__right,axiom,
% 183.93/184.01 ! [V_a,T_a] :
% 183.93/184.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd__1__left,axiom,
% 183.93/184.01 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_setsum__abs,axiom,
% 183.93/184.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.01 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_setsum__abs__ge__zero,axiom,
% 183.93/184.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.01 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_zdvd__antisym__abs,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a),V_b))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_b),V_a))
% 183.93/184.01 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_a) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_b) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_nat__dvd__1__iff__1,axiom,
% 183.93/184.01 ! [V_m_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 183.93/184.01 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd__if__abs__eq,axiom,
% 183.93/184.01 ! [V_k,V_l,T_a] :
% 183.93/184.01 ( class_Rings_Olinordered__idom(T_a)
% 183.93/184.01 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_abs__dvd__iff,axiom,
% 183.93/184.01 ! [V_k_2,V_m_2,T_b] :
% 183.93/184.01 ( class_Rings_Olinordered__idom(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd__abs__iff,axiom,
% 183.93/184.01 ! [V_k_2,V_m_2,T_b] :
% 183.93/184.01 ( class_Rings_Olinordered__idom(T_b)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 183.93/184.01 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd__power__same,axiom,
% 183.93/184.01 ! [V_n,V_y,V_x,T_a] :
% 183.93/184.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n))) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_one__dvd,axiom,
% 183.93/184.01 ! [V_a,T_a] :
% 183.93/184.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd__0__left,axiom,
% 183.93/184.01 ! [V_a,T_a] :
% 183.93/184.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 183.93/184.01 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd__add,axiom,
% 183.93/184.01 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_lessThan__eq__iff,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.01 ( class_Orderings_Olinorder(T_b)
% 183.93/184.01 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 183.93/184.01 <=> V_x_2 = V_y_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oeq__iff,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2] :
% 183.93/184.01 ( V_x_2 = V_y_2
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.01 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Ole__less,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.01 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 183.93/184.01 | V_x_2 = V_y_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oless__le,axiom,
% 183.93/184.01 ! [V_y_2,V_x_2] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 183.93/184.01 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.01 & V_x_2 != V_y_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oneq__le__trans,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( V_a != V_b
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oeq__refl,axiom,
% 183.93/184.01 ! [V_y,V_x] :
% 183.93/184.01 ( V_x = V_y
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oantisym__conv,axiom,
% 183.93/184.01 ! [V_x_2,V_y_2] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.01 <=> V_x_2 = V_y_2 ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 183.93/184.01 ! [V_y,V_x] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.93/184.01 | V_x = V_y ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Ole__neq__trans,axiom,
% 183.93/184.01 ! [V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.93/184.01 => ( V_a != V_b
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 183.93/184.01 ! [V_c,V_b,V_a] :
% 183.93/184.01 ( V_a = V_b
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 183.93/184.01 ! [V_c,V_b,V_a] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.93/184.01 => ( V_b = V_c
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd__antisym,axiom,
% 183.93/184.01 ! [V_n,V_m] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 183.93/184.01 => V_m = V_n ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oantisym,axiom,
% 183.93/184.01 ! [V_y,V_x] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 183.93/184.01 => V_x = V_y ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oorder__trans,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 183.93/184.01 ! [V_c,V_b,V_a] :
% 183.93/184.01 ( V_a = V_b
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Ole__less__trans,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x] :
% 183.93/184.01 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oless__imp__neq,axiom,
% 183.93/184.01 ! [V_y,V_x] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.93/184.01 => V_x != V_y ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oless__not__sym,axiom,
% 183.93/184.01 ! [V_y,V_x] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.93/184.01 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oless__imp__le,axiom,
% 183.93/184.01 ! [V_y,V_x] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.93/184.01 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oless__imp__not__less,axiom,
% 183.93/184.01 ! [V_y,V_x] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.93/184.01 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 183.93/184.01 ! [V_y,V_x] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.93/184.01 => V_x != V_y ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 183.93/184.01 ! [V_y,V_x] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.93/184.01 => V_y != V_x ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 183.93/184.01 ! [V_c,V_b,V_a] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 183.93/184.01 => ( V_b = V_c
% 183.93/184.01 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 183.93/184.01 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 183.93/184.01
% 183.93/184.01 fof(fact_dvd_Oless__le__trans,axiom,
% 183.93/184.01 ! [V_z,V_y,V_x] :
% 183.93/184.01 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_Oless__asym_H,axiom,
% 183.93/184.02 ! [V_b,V_a] :
% 183.93/184.02 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 183.93/184.02 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_Oless__trans,axiom,
% 183.93/184.02 ! [V_z,V_y,V_x] :
% 183.93/184.02 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.93/184.02 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_Oless__asym,axiom,
% 183.93/184.02 ! [V_y,V_x] :
% 183.93/184.02 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 183.93/184.02 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__refl,axiom,
% 183.93/184.02 ! [V_a,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__trans,axiom,
% 183.93/184.02 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mod__imp__dvd,axiom,
% 183.93/184.02 ! [V_n,V_m,V_k,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mod,axiom,
% 183.93/184.02 ! [V_n,V_m,V_k,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_mod__mod__cancel,axiom,
% 183.93/184.02 ! [V_a,V_b,V_c,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 183.93/184.02 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,V_a,V_c) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mod__iff,axiom,
% 183.93/184.02 ! [V_m_2,V_n_2,V_k_2,T_b] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_n_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),c_Divides_Odiv__class_Omod(T_b,V_m_2,V_n_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__int__nat__relations_I4_J,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__int,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__triv__left,axiom,
% 183.93/184.02 ! [V_b,V_a,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__triv__right,axiom,
% 183.93/184.02 ! [V_b,V_a,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mult2,axiom,
% 183.93/184.02 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mult,axiom,
% 183.93/184.02 ! [V_b,V_c,V_a,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_mult__dvd__mono,axiom,
% 183.93/184.02 ! [V_d,V_c,V_b,V_a,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvdI,axiom,
% 183.93/184.02 ! [V_k,V_b,V_a,T_a] :
% 183.93/184.02 ( class_Rings_Odvd(T_a)
% 183.93/184.02 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mult__left,axiom,
% 183.93/184.02 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mult__right,axiom,
% 183.93/184.02 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_div__dvd__div,axiom,
% 183.93/184.02 ! [V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ca_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_ba_2),V_a_2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_ca_2),V_a_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_ba_2),V_ca_2)) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__zmod__imp__zdvd,axiom,
% 183.93/184.02 ! [V_n,V_m,V_k] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n)))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__zmod,axiom,
% 183.93/184.02 ! [V_n,V_m,V_f] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),V_m))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),V_n))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_uminus__dvd__conv_I2_J,axiom,
% 183.93/184.02 ! [V_t_2,V_d_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_t_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_t_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_uminus__dvd__conv_I1_J,axiom,
% 183.93/184.02 ! [V_t_2,V_d_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_t_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d_2)),V_t_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__zdiffD,axiom,
% 183.93/184.02 ! [V_n,V_m,V_k] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),V_n)))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__reduce,axiom,
% 183.93/184.02 ! [V_n_2,V_k_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_n_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_of__nat__setsum,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Rings_Osemiring__1(T_b)
% 183.93/184.02 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__minus__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Rings_Ocomm__ring__1(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_minus__dvd__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Rings_Ocomm__ring__1(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__diff,axiom,
% 183.93/184.02 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__ring__1(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__lessThan__Suc,axiom,
% 183.93/184.02 ! [V_n_2,V_f_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_of__int__setsum,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Rings_Oring__1(T_b)
% 183.93/184.02 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__diff__nat,axiom,
% 183.93/184.02 ! [V_n,V_m,V_k] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__commute,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__0,axiom,
% 183.93/184.02 ! [V_A_2,T_c,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__addf,axiom,
% 183.93/184.02 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__right__distrib,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 183.93/184.02 ( class_Rings_Osemiring__0(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__left__distrib,axiom,
% 183.93/184.02 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Rings_Osemiring__0(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__product,axiom,
% 183.93/184.02 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Rings_Osemiring__0(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__subtractf,axiom,
% 183.93/184.02 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Groups_Oab__group__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__negf,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Groups_Oab__group__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__divide__distrib,axiom,
% 183.93/184.02 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Fields_Ofield(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_abs__setsum__abs,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 183.93/184.02 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__nat__int__relations_I4_J,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_int__dvd__iff,axiom,
% 183.93/184.02 ! [V_z_2,V_m_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__int__iff,axiom,
% 183.93/184.02 ! [V_m_2,V_z_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2))),V_m_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_lessThan__subset__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mult__cancel__left,axiom,
% 183.93/184.02 ! [V_ba_2,V_a_2,V_ca_2,T_b] :
% 183.93/184.02 ( class_Rings_Oidom(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2)))
% 183.93/184.02 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.02 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mult__cancel__right,axiom,
% 183.93/184.02 ! [V_ba_2,V_ca_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Rings_Oidom(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_ca_2)))
% 183.93/184.02 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.02 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__imp__mod__0,axiom,
% 183.93/184.02 ! [V_b,V_a,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.93/184.02 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__eq__mod__eq__0,axiom,
% 183.93/184.02 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2))
% 183.93/184.02 <=> c_Divides_Odiv__class_Omod(T_b,V_ba_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_lessThan__strict__subset__iff,axiom,
% 183.93/184.02 ! [V_n_2,V_m_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_div__add,axiom,
% 183.93/184.02 ! [V_y,V_x,V_z,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 183.93/184.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_z)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_y),V_z)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mult__div__cancel,axiom,
% 183.93/184.02 ! [V_b,V_a,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_div__mult__swap,axiom,
% 183.93/184.02 ! [V_a,V_b,V_c,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__div__mult__self,axiom,
% 183.93/184.02 ! [V_b,V_a,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__div__mult,axiom,
% 183.93/184.02 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_div__mult__div__if__dvd,axiom,
% 183.93/184.02 ! [V_w,V_z,V_x,V_y,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__div__neg,axiom,
% 183.93/184.02 ! [V_x,V_y,T_a] :
% 183.93/184.02 ( class_Divides_Oring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 183.93/184.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__neg__div,axiom,
% 183.93/184.02 ! [V_x,V_y,T_a] :
% 183.93/184.02 ( class_Divides_Oring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 183.93/184.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_y) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_power__le__dvd,axiom,
% 183.93/184.02 ! [V_m,V_b,V_n,V_a,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__power__le,axiom,
% 183.93/184.02 ! [V_m,V_n,V_y,V_x,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_le__imp__power__dvd,axiom,
% 183.93/184.02 ! [V_a,V_n,V_m,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_div__power,axiom,
% 183.93/184.02 ! [V_n,V_x,V_y,T_a] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 183.93/184.02 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__antisym__nonneg,axiom,
% 183.93/184.02 ! [V_n,V_m] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m))
% 183.93/184.02 => V_m = V_n ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__not__zless,axiom,
% 183.93/184.02 ! [V_n,V_m] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_m),V_n))
% 183.93/184.02 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__mono,axiom,
% 183.93/184.02 ! [V_t_2,V_m_2,V_k_2] :
% 183.93/184.02 ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m_2),V_t_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_t_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__mult__cancel,axiom,
% 183.93/184.02 ! [V_n,V_m,V_k] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_n)))
% 183.93/184.02 => ( V_k != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__reduce,axiom,
% 183.93/184.02 ! [V_m_2,V_n_2,V_k_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_n_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2))))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),V_n_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__period,axiom,
% 183.93/184.02 ! [V_ca_2,V_t_2,V_x_2,V_d_2,V_a_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),V_d_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),V_t_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ca_2),V_d_2))),V_t_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__1__iff__1,axiom,
% 183.93/184.02 ! [V_m_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 183.93/184.02 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_nat__dvd__not__less,axiom,
% 183.93/184.02 ! [V_n,V_m] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 183.93/184.02 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 183.93/184.02 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 183.93/184.02 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.02 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__mult__div__cancel,axiom,
% 183.93/184.02 ! [V_m,V_n] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m))
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)) = V_m ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zmod__eq__dvd__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_n_2,V_x_2] :
% 183.93/184.02 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x_2,V_n_2) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y_2,V_n_2)
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x_2),V_y_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__diffD1,axiom,
% 183.93/184.02 ! [V_n,V_m,V_k] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__diffD,axiom,
% 183.93/184.02 ! [V_n,V_m,V_k] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd1__eq,axiom,
% 183.93/184.02 ! [V_x_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_x_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 183.93/184.02 <=> hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_abs__div,axiom,
% 183.93/184.02 ! [V_x,V_y] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_y),V_x))
% 183.93/184.02 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_nat__dvd__iff,axiom,
% 183.93/184.02 ! [V_m_2,V_z_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),V_m_2))
% 183.93/184.02 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) )
% 183.93/184.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 183.93/184.02 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_arith__series__general,axiom,
% 183.93/184.02 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_unity__coeff__ex,axiom,
% 183.93/184.02 ! [V_l_2,V_Pa_2,T_b] :
% 183.93/184.02 ( ( class_Rings_Odvd(T_b)
% 183.93/184.02 & class_Rings_Osemiring__0(T_b) )
% 183.93/184.02 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 183.93/184.02 <=> ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b))))
% 183.93/184.02 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_inf__period_I3_J,axiom,
% 183.93/184.02 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 183.93/184.02 ( ( class_Rings_Ocomm__ring(T_b)
% 183.93/184.02 & class_Rings_Odvd(T_b) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 183.93/184.02 => ! [B_x,B_k] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_inf__period_I4_J,axiom,
% 183.93/184.02 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 183.93/184.02 ( ( class_Rings_Ocomm__ring(T_b)
% 183.93/184.02 & class_Rings_Odvd(T_b) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 183.93/184.02 => ! [B_x,B_k] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( ( class_Divides_Osemiring__div(T_b)
% 183.93/184.02 & class_Int_Onumber(T_b) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 183.93/184.02 <=> c_Divides_Odiv__class_Omod(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__div__div__eq__mult,axiom,
% 183.93/184.02 ! [V_d_2,V_ba_2,V_ca_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_b)
% 183.93/184.02 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.02 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_ca_2),V_d_2))
% 183.93/184.02 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_ba_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_ca_2)
% 183.93/184.02 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_ca_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__div__eq__mult,axiom,
% 183.93/184.02 ! [V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Divides_Osemiring__div(T_b)
% 183.93/184.02 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2))
% 183.93/184.02 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_ba_2),V_a_2) = V_ca_2
% 183.93/184.02 <=> V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__imp__le,axiom,
% 183.93/184.02 ! [V_n,V_z] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z),V_n))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_n)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_zdvd__iff__zmod__eq__0__number__of,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_y_2)))
% 183.93/184.02 <=> c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_x_2)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__imp__le,axiom,
% 183.93/184.02 ! [V_n,V_k] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__mult__cancel,axiom,
% 183.93/184.02 ! [V_n,V_m,V_k] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_nat__mult__dvd__cancel1,axiom,
% 183.93/184.02 ! [V_n_2,V_m_2,V_k_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__imp__le__int,axiom,
% 183.93/184.02 ! [V_d,V_i] :
% 183.93/184.02 ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d),V_i))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_d)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd__power,axiom,
% 183.93/184.02 ! [V_x,V_n,T_a] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 183.93/184.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 183.93/184.02 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_Ostrict__monoD,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,V_f_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2)
% 183.93/184.02 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_arith__series__nat,axiom,
% 183.93/184.02 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_OmonoD,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,V_f_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__natinterval__difff,axiom,
% 183.93/184.02 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 183.93/184.02 ( class_Groups_Oab__group__add(T_b)
% 183.93/184.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 183.93/184.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_gauss__sum,axiom,
% 183.93/184.02 ! [V_n_2,T_b] :
% 183.93/184.02 ( class_Rings_Ocomm__semiring__1(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 183.93/184.02 ! [V_k_2,V_f_2] :
% 183.93/184.02 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_Ostrict__mono__mono,axiom,
% 183.93/184.02 ! [V_f_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2)
% 183.93/184.02 => c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastatMost__subset__iff,axiom,
% 183.93/184.02 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)))
% 183.93/184.02 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2))
% 183.93/184.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2))
% 183.93/184.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_d_2)) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 183.93/184.02 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 183.93/184.02 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_int__setsum,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastatMost__psubset__iff,axiom,
% 183.93/184.02 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)))
% 183.93/184.02 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2))
% 183.93/184.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2))
% 183.93/184.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_d_2))
% 183.93/184.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_a_2))
% 183.93/184.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_d_2)) ) ) )
% 183.93/184.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__head__Suc,axiom,
% 183.93/184.02 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__cl__ivl__Suc,axiom,
% 183.93/184.02 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 183.93/184.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__ub__add__nat,axiom,
% 183.93/184.02 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_all__nat__less,axiom,
% 183.93/184.02 ! [V_Pa_2,V_n_2] :
% 183.93/184.02 ( ! [B_m] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 183.93/184.02 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 183.93/184.02 <=> ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)))
% 183.93/184.02 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ex__nat__less,axiom,
% 183.93/184.02 ! [V_Pa_2,V_n_2] :
% 183.93/184.02 ( ? [B_m] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 183.93/184.02 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 183.93/184.02 <=> ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)))
% 183.93/184.02 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sum__diff__distrib,axiom,
% 183.93/184.02 ! [V_n_2,V_Pa_2,V_Q_2] :
% 183.93/184.02 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_Pa_2,B_x)))
% 183.93/184.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Pa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_Pa_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_geometric__sum,axiom,
% 183.93/184.02 ! [V_n_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Fields_Ofield(T_b)
% 183.93/184.02 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ex__nat__less__eq,axiom,
% 183.93/184.02 ! [V_Pa_2,V_n_2] :
% 183.93/184.02 ( ? [B_m] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 183.93/184.02 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 183.93/184.02 <=> ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)))
% 183.93/184.02 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_all__nat__less__eq,axiom,
% 183.93/184.02 ! [V_Pa_2,V_n_2] :
% 183.93/184.02 ( ! [B_m] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 183.93/184.02 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 183.93/184.02 <=> ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)))
% 183.93/184.02 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 183.93/184.02 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 183.93/184.02 => V_ba_2 = V_d_2 ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 183.93/184.02 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 183.93/184.02 => V_a_2 = V_ca_2 ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThan__eq__iff,axiom,
% 183.93/184.02 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 183.93/184.02 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 183.93/184.02 <=> ( V_a_2 = V_ca_2
% 183.93/184.02 & V_ba_2 = V_d_2 ) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),hAPP(c_Nat_OSuc,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeast0LessThan,axiom,
% 183.93/184.02 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThan__subset__iff,axiom,
% 183.93/184.02 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_a_2))
% 183.93/184.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2))
% 183.93/184.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_d_2)) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 183.93/184.02 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 183.93/184.02 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__diff,axiom,
% 183.93/184.02 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 183.93/184.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__add__nat__ivl,axiom,
% 183.93/184.02 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 183.93/184.02 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__diff__nat__ivl,axiom,
% 183.93/184.02 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 183.93/184.02 ( class_Groups_Oab__group__add(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 183.93/184.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 183.93/184.02 ! [V_k_2,V_f_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__head__upt__Suc,axiom,
% 183.93/184.02 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__op__ivl__Suc,axiom,
% 183.93/184.02 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 183.93/184.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_bset_I6_J,axiom,
% 183.93/184.02 ! [V_t_2,V_B_2,V_D_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.02 => ! [B_x] :
% 183.93/184.02 ( ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.02 => ! [B_xb] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.93/184.02 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_aset_I8_J,axiom,
% 183.93/184.02 ! [V_t_2,V_A_2,V_D_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.02 => ! [B_x] :
% 183.93/184.02 ( ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.02 => ! [B_xb] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.93/184.02 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_periodic__finite__ex,axiom,
% 183.93/184.02 ! [V_Pa_2,V_d_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 183.93/184.02 => ( ! [B_x,B_k] :
% 183.93/184.02 ( hBOOL(hAPP(V_Pa_2,B_x))
% 183.93/184.02 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 183.93/184.02 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 183.93/184.02 <=> ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_d_2)))
% 183.93/184.02 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_aset_I7_J,axiom,
% 183.93/184.02 ! [V_t_2,V_A_2,V_D_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.02 => ! [B_x] :
% 183.93/184.02 ( ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.02 => ! [B_xb] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.93/184.02 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_u_2),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_bset_I5_J,axiom,
% 183.93/184.02 ! [V_t_2,V_B_2,V_D_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.02 => ! [B_x] :
% 183.93/184.02 ( ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.02 => ! [B_xb] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.93/184.02 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_aset_I10_J,axiom,
% 183.93/184.02 ! [V_t_2,V_A_2,V_D_2,V_d_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 183.93/184.02 => ! [B_x] :
% 183.93/184.02 ( ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.02 => ! [B_xb] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.93/184.02 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.02 => ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_t_2)))
% 183.93/184.02 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_bset_I10_J,axiom,
% 183.93/184.02 ! [V_t_2,V_B_2,V_D_2,V_d_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 183.93/184.02 => ! [B_x] :
% 183.93/184.02 ( ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.02 => ! [B_xb] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.93/184.02 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.02 => ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_t_2)))
% 183.93/184.02 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_aset_I9_J,axiom,
% 183.93/184.02 ! [V_t_2,V_A_2,V_D_2,V_d_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 183.93/184.02 => ! [B_x] :
% 183.93/184.02 ( ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.02 => ! [B_xb] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.93/184.02 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_t_2)))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_bset_I9_J,axiom,
% 183.93/184.02 ! [V_t_2,V_B_2,V_D_2,V_d_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 183.93/184.02 => ! [B_x] :
% 183.93/184.02 ( ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.02 => ! [B_xb] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.93/184.02 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_t_2)))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 183.93/184.02 ! [V_u_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 183.93/184.02 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Int_Onat,V_u_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__head,axiom,
% 183.93/184.02 ! [V_Pa_2,V_n_2,V_m_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_Ostrict__monoI,axiom,
% 183.93/184.02 ! [V_f_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( ! [B_x,B_y] :
% 183.93/184.02 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_x),B_y))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_y),B_x)) )
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) )
% 183.93/184.02 => c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__uminus__atLeastLessThan,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_subset__image__iff,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 183.93/184.02 <=> ? [B_AA] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 183.93/184.02 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__mono,axiom,
% 183.93/184.02 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__image,axiom,
% 183.93/184.02 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2] :
% 183.93/184.02 ( V_A_2 = V_B_2
% 183.93/184.02 <=> hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__diff__subset,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__uminus__atLeastAtMost,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_b] :
% 183.93/184.02 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 183.93/184.02 ! [V_n_2,V_m_2] :
% 183.93/184.02 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 183.93/184.02 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 183.93/184.02 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_n_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__SucD,axiom,
% 183.93/184.02 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 183.93/184.02 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 183.93/184.02 => ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__ivl__cong,axiom,
% 183.93/184.02 ! [V_g_2,V_f_2,V_d_2,V_ba_2,V_ca_2,V_a_2,T_b,T_c] :
% 183.93/184.02 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.02 & class_Orderings_Oord(T_b) )
% 183.93/184.02 => ( V_a_2 = V_ca_2
% 183.93/184.02 => ( V_ba_2 = V_d_2
% 183.93/184.02 => ( ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),B_x))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 183.93/184.02 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__atLeastAtMost__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__uminus__lessThan,axiom,
% 183.93/184.02 ! [V_x_2,T_b] :
% 183.93/184.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__greaterThanAtMost__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_greaterThan__eq__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 183.93/184.02 <=> V_x_2 = V_y_2 ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__Suc__atLeastLessThan,axiom,
% 183.93/184.02 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2)),hAPP(c_Nat_OSuc,V_j_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__Suc__atLeastAtMost,axiom,
% 183.93/184.02 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2),hAPP(c_Nat_OSuc,V_j_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__add__atLeastLessThan,axiom,
% 183.93/184.02 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__add__atLeastAtMost,axiom,
% 183.93/184.02 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__eq__setsum,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 183.93/184.02 ! [V_A_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) = V_A_2 ).
% 183.93/184.02
% 183.93/184.02 fof(fact_greaterThan__subset__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__constant,axiom,
% 183.93/184.02 ! [V_A_2,V_y_2,T_c,T_b] :
% 183.93/184.02 ( class_Rings_Osemiring__1(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 183.93/184.02 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) = hAPP(c_Int_Onat,V_u_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__atLeastLessThan__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 183.93/184.02 ! [V_n_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__add__int__atLeastLessThan,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__uminus__greaterThan,axiom,
% 183.93/184.02 ! [V_x_2,T_b] :
% 183.93/184.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__greaterThanLessThan__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 183.93/184.02 ! [V_f_2,V_A_2,T_b] :
% 183.93/184.02 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.93/184.02 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2] :
% 183.93/184.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.02 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2] :
% 183.93/184.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.02 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 183.93/184.02 ! [V_A_2] :
% 183.93/184.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.02 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__lessThan,axiom,
% 183.93/184.02 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_u_2)) = V_u_2 ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2] :
% 183.93/184.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.02 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.93/184.02 => ( V_A_2 = V_B_2
% 183.93/184.02 <=> hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__atLeastLessThan,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__greaterThanAtMost,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_nat__set__def,axiom,
% 183.93/184.02 ! [V_S_2] :
% 183.93/184.02 ( c_Nat__Transfer_Onat__set(V_S_2)
% 183.93/184.02 <=> ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 183.93/184.02 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2] :
% 183.93/184.02 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 183.93/184.02 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__atLeastAtMost,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_u_2)),V_l_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 183.93/184.02 ! [V_A_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_subset__card__intvl__is__intvl,axiom,
% 183.93/184.02 ! [V_k_2,V_A_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2)))))
% 183.93/184.02 => V_A_2 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 183.93/184.02 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 183.93/184.02 ! [V_A_2] :
% 183.93/184.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.02 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) = V_A_2 ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 183.93/184.02 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 183.93/184.02 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.93/184.02 => ( V_A_2 = V_B_2
% 183.93/184.02 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.93/184.02 => ( ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 183.93/184.02 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I19_J,axiom,
% 183.93/184.02 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I18_J,axiom,
% 183.93/184.02 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup1E,axiom,
% 183.93/184.02 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 183.93/184.02 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 183.93/184.02 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup1CI,axiom,
% 183.93/184.02 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 183.93/184.02 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 183.93/184.02 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 183.93/184.02 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I9_J,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__Un,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2] :
% 183.93/184.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.02 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.93/184.02 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup1I1,axiom,
% 183.93/184.02 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 183.93/184.02 ( hBOOL(hAPP(V_A_2,V_x_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup1I2,axiom,
% 183.93/184.02 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 183.93/184.02 ( hBOOL(hAPP(V_B_2,V_x_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__absorb,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__commute,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__left__absorb,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__left__commute,axiom,
% 183.93/184.02 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__assoc,axiom,
% 183.93/184.02 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_bex__Un,axiom,
% 183.93/184.02 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.02 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.93/184.02 <=> ( ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.02 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.93/184.02 | ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 183.93/184.02 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ball__Un,axiom,
% 183.93/184.02 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.02 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.93/184.02 <=> ( ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.02 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.93/184.02 & ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 183.93/184.02 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup_Oidem,axiom,
% 183.93/184.02 ! [V_a,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__idem,axiom,
% 183.93/184.02 ! [V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup_Ocommute,axiom,
% 183.93/184.02 ! [V_b,V_a,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => 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) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_inf__sup__aci_I5_J,axiom,
% 183.93/184.02 ! [V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Olattice(T_a)
% 183.93/184.02 => 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) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__commute,axiom,
% 183.93/184.02 ! [V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => 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) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup_Oleft__idem,axiom,
% 183.93/184.02 ! [V_b,V_a,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => 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) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_inf__sup__aci_I8_J,axiom,
% 183.93/184.02 ! [V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Olattice(T_a)
% 183.93/184.02 => 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) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__left__idem,axiom,
% 183.93/184.02 ! [V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => 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) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup_Oleft__commute,axiom,
% 183.93/184.02 ! [V_c,V_a,V_b,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => 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)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_inf__sup__aci_I7_J,axiom,
% 183.93/184.02 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Olattice(T_a)
% 183.93/184.02 => 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)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__left__commute,axiom,
% 183.93/184.02 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => 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)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup_Oassoc,axiom,
% 183.93/184.02 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => 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)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_inf__sup__aci_I6_J,axiom,
% 183.93/184.02 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Olattice(T_a)
% 183.93/184.02 => 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)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__assoc,axiom,
% 183.93/184.02 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => 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)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__apply,axiom,
% 183.93/184.02 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Lattices_Olattice(T_b)
% 183.93/184.02 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__fun__def,axiom,
% 183.93/184.02 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Lattices_Olattice(T_b)
% 183.93/184.02 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__Diff__cancel,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__Diff__cancel2,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__Diff,axiom,
% 183.93/184.02 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Sup__fin_Oidem,axiom,
% 183.93/184.02 ! [V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Olattice(T_a)
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__max,axiom,
% 183.93/184.02 ! [T_b] :
% 183.93/184.02 ( ( class_Lattices_Osemilattice__sup(T_b)
% 183.93/184.02 & class_Orderings_Olinorder(T_b) )
% 183.93/184.02 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atMost__eq__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 183.93/184.02 <=> V_x_2 = V_y_2 ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_le__supE,axiom,
% 183.93/184.02 ! [V_x,V_b,V_a,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x))
% 183.93/184.02 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.93/184.02 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__mono,axiom,
% 183.93/184.02 ! [V_d,V_b,V_c,V_a,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_c),V_d))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__least,axiom,
% 183.93/184.02 ! [V_z,V_x,V_y,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_le__supI,axiom,
% 183.93/184.02 ! [V_b,V_x,V_a,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__absorb1,axiom,
% 183.93/184.02 ! [V_x,V_y,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__absorb2,axiom,
% 183.93/184.02 ! [V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_le__supI2,axiom,
% 183.93/184.02 ! [V_a,V_b,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_le__supI1,axiom,
% 183.93/184.02 ! [V_b,V_a,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_le__sup__iff,axiom,
% 183.93/184.02 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2))
% 183.93/184.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 183.93/184.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_le__iff__sup,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/184.02 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__ge2,axiom,
% 183.93/184.02 ! [V_x,V_y,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_inf__sup__ord_I4_J,axiom,
% 183.93/184.02 ! [V_x,V_y,T_a] :
% 183.93/184.02 ( class_Lattices_Olattice(T_a)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__ge1,axiom,
% 183.93/184.02 ! [V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_inf__sup__ord_I3_J,axiom,
% 183.93/184.02 ! [V_y,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Olattice(T_a)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__upper1,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__upper2,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_subset__Un__eq,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__absorb1,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__absorb2,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__least,axiom,
% 183.93/184.02 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__mono,axiom,
% 183.93/184.02 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_less__supI2,axiom,
% 183.93/184.02 ! [V_a,V_b,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_less__supI1,axiom,
% 183.93/184.02 ! [V_b,V_a,V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Osemilattice__sup(T_a)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__atMost,axiom,
% 183.93/184.02 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_u_2)) = hAPP(c_Nat_OSuc,V_u_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I10_J,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I7_J,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I17_J,axiom,
% 183.93/184.02 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Diff__partition,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Diff__subset__conv,axiom,
% 183.93/184.02 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I20_J,axiom,
% 183.93/184.02 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Compl__Diff__eq,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2] :
% 183.93/184.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.02 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeast0AtMost,axiom,
% 183.93/184.02 ! [V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__greaterThanLessThan,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),hAPP(c_Nat_OSuc,V_l_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_lessThan__Suc__atMost,axiom,
% 183.93/184.02 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atMost__subset__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I21_J,axiom,
% 183.93/184.02 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThan__add__Un,axiom,
% 183.93/184.02 ! [V_k_2,V_j_2,V_i_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 183.93/184.02 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I8_J,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I22_J,axiom,
% 183.93/184.02 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I11_J,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Compl__atMost,axiom,
% 183.93/184.02 ! [V_k_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Compl__greaterThan,axiom,
% 183.93/184.02 ! [V_k_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I15_J,axiom,
% 183.93/184.02 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I16_J,axiom,
% 183.93/184.02 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__atMost__Suc,axiom,
% 183.93/184.02 ! [V_n_2,V_f_2,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I12_J,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I13_J,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_hoare__derivs_OBody,axiom,
% 183.93/184.02 ! [V_Procs_2,V_Q_2,V_Pa_2,V_Ga_2,T_b] :
% 183.93/184.02 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 183.93/184.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__le__eq__Un0,axiom,
% 183.93/184.02 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__nat__def,axiom,
% 183.93/184.02 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_asm,axiom,
% 183.93/184.02 ! [V_Ga_2,V_ts_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_Ga_2))
% 183.93/184.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_weaken,axiom,
% 183.93/184.02 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] :
% 183.93/184.02 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 183.93/184.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_thin,axiom,
% 183.93/184.02 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 183.93/184.02 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_H_2),V_Ga_2))
% 183.93/184.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeast__eq__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 183.93/184.02 <=> V_x_2 = V_y_2 ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_cut,axiom,
% 183.93/184.02 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 183.93/184.02 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 183.93/184.02 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 183.93/184.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SUP1__iff,axiom,
% 183.93/184.02 ! [V_ba_2,V_B_2,V_A_2,T_c,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_ba_2))
% 183.93/184.02 <=> ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.02 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_ba_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeast__Suc__greaterThan,axiom,
% 183.93/184.02 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeast__subset__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)))
% 183.93/184.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Compl__atLeast,axiom,
% 183.93/184.02 ! [V_k_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Compl__lessThan,axiom,
% 183.93/184.02 ! [V_k_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__le__add__shift,axiom,
% 183.93/184.02 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ivl__disj__un_I14_J,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Olinorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__uminus__atLeast,axiom,
% 183.93/184.02 ! [V_x_2,T_b] :
% 183.93/184.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__uminus__atMost,axiom,
% 183.93/184.02 ! [V_x_2,T_b] :
% 183.93/184.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SUP__subset,axiom,
% 183.93/184.02 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 183.93/184.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__extend__simps_I6_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__simps_I6_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SUPR__apply,axiom,
% 183.93/184.02 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 183.93/184.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.93/184.02 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ball__UN,axiom,
% 183.93/184.02 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 183.93/184.02 ( ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.02 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 183.93/184.02 <=> ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.93/184.02 => ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 183.93/184.02 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SUP__commute,axiom,
% 183.93/184.02 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 183.93/184.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__UN__flatten,axiom,
% 183.93/184.02 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__simps_I9_J,axiom,
% 183.93/184.02 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__extend__simps_I9_J,axiom,
% 183.93/184.02 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SUP__le__iff,axiom,
% 183.93/184.02 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 183.93/184.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2))
% 183.93/184.02 <=> ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_less__SUP__iff,axiom,
% 183.93/184.02 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 183.93/184.02 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 183.93/184.02 & class_Orderings_Olinorder(T_b) )
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2)))
% 183.93/184.02 <=> ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.93/184.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__subset__iff,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 183.93/184.02 <=> ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__extend__simps_I10_J,axiom,
% 183.93/184.02 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__UN,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__simps_I10_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__Un__distrib,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__Un,axiom,
% 183.93/184.02 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_greaterThan__0,axiom,
% 183.93/184.02 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 183.93/184.02 ! [V_d_2,V_ca_2,V_ba_2,V_a_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2,V_d_2)))
% 183.93/184.02 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2))
% 183.93/184.02 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_a_2))
% 183.93/184.02 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_d_2))
% 183.93/184.02 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_a_2))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ca_2)) )
% 183.93/184.02 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_d_2))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_ba_2)) ) ) ) )
% 183.93/184.02 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_d_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_OmonoI,axiom,
% 183.93/184.02 ! [V_f_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( ! [B_x,B_y] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_x),B_y))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) )
% 183.93/184.02 => c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_upto_Opinduct,axiom,
% 183.93/184.02 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 183.93/184.02 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 183.93/184.02 => ( ! [B_i,B_j] :
% 183.93/184.02 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_i),B_j)))
% 183.93/184.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 183.93/184.02 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 183.93/184.02 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 183.93/184.02 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_top1I,axiom,
% 183.93/184.02 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__UNIV__left,axiom,
% 183.93/184.02 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__UNIV__right,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_subset__UNIV,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_top__apply,axiom,
% 183.93/184.02 ! [V_x_2,T_c,T_b] :
% 183.93/184.02 ( class_Orderings_Otop(T_b)
% 183.93/184.02 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_range__composition,axiom,
% 183.93/184.02 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_top__greatest,axiom,
% 183.93/184.02 ! [V_x,T_a] :
% 183.93/184.02 ( class_Orderings_Otop(T_a)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__top__right,axiom,
% 183.93/184.02 ! [V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Obounded__lattice__top(T_a)
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__top__left,axiom,
% 183.93/184.02 ! [V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Obounded__lattice__top(T_a)
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__lessThan__UNIV,axiom,
% 183.93/184.02 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__atMost__UNIV,axiom,
% 183.93/184.02 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__atLeast__UNIV,axiom,
% 183.93/184.02 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Compl__partition2,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Compl__partition,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeast__0,axiom,
% 183.93/184.02 hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_compl__sup__top,axiom,
% 183.93/184.02 ! [V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__compl__top,axiom,
% 183.93/184.02 ! [V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__UN__finite__eq,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 183.93/184.02 ! [V_d_2,V_ca_2,V_ba_2,V_a_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2,V_d_2)))
% 183.93/184.02 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2))
% 183.93/184.02 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_a_2))
% 183.93/184.02 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_d_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_surj__Compl__image__subset,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_b,T_c] :
% 183.93/184.02 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__finite2__subset,axiom,
% 183.93/184.02 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 183.93/184.02 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__finite2__eq,axiom,
% 183.93/184.02 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 183.93/184.02 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)
% 183.93/184.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__finite__subset,axiom,
% 183.93/184.02 ! [V_C_2,V_A_2,T_b] :
% 183.93/184.02 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__UNIV__bool,axiom,
% 183.93/184.02 hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__ident,axiom,
% 183.93/184.02 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 183.93/184.02
% 183.93/184.02 fof(fact_type__definition__code__numeral,axiom,
% 183.93/184.02 c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Code__Numeral_Oof__nat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 183.93/184.02 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__diff__nat,axiom,
% 183.93/184.02 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__diff,axiom,
% 183.93/184.02 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 183.93/184.02 ( class_Groups_Oab__group__add(T_c)
% 183.93/184.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__atLeastLessThan,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__atLeastAtMost__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__atLeastAtMost,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__lessThan,axiom,
% 183.93/184.02 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__atMost,axiom,
% 183.93/184.02 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__atLeastLessThan__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__greaterThanAtMost,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__greaterThanAtMost__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__greaterThanLessThan__int,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__greaterThanLessThan,axiom,
% 183.93/184.02 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__insert__right,axiom,
% 183.93/184.02 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__insert__left,axiom,
% 183.93/184.02 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_subset__insertI,axiom,
% 183.93/184.02 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_subset__insertI2,axiom,
% 183.93/184.02 ! [V_ba_2,V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_B_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_insert__mono,axiom,
% 183.93/184.02 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 183.93/184.02 ! [V_N_2] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 183.93/184.02 <=> ? [B_m] :
% 183.93/184.02 ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__nat__set__iff__bounded,axiom,
% 183.93/184.02 ! [V_N_2] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 183.93/184.02 <=> ? [B_m] :
% 183.93/184.02 ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_insert__code,axiom,
% 183.93/184.02 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 183.93/184.02 <=> ( V_y_2 = V_x_2
% 183.93/184.02 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_insert__commute,axiom,
% 183.93/184.02 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_insert__absorb2,axiom,
% 183.93/184.02 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 183.93/184.02 ! [V_A_2] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 183.93/184.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__insert,axiom,
% 183.93/184.02 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 183.93/184.02 ! [V_A_2] :
% 183.93/184.02 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 183.93/184.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum_Oinfinite,axiom,
% 183.93/184.02 ! [V_g_2,V_A_2,T_b,T_c] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.02 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__infinite,axiom,
% 183.93/184.02 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.02 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_lessThan__Suc,axiom,
% 183.93/184.02 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atMost__Suc,axiom,
% 183.93/184.02 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__eq__0__iff,axiom,
% 183.93/184.02 ! [V_f_2,V_F_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.93/184.02 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.02 <=> ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 183.93/184.02 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__insert,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum_Odistrib,axiom,
% 183.93/184.02 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 183.93/184.02 ! [V_u_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastAtMostSuc__conv,axiom,
% 183.93/184.02 ! [V_n_2,V_m_2] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 183.93/184.02 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__eq__Suc0__iff,axiom,
% 183.93/184.02 ! [V_f_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/184.02 <=> ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.02 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/184.02 & ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 183.93/184.02 => ( B_x != B_xa
% 183.93/184.02 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__eq__1__iff,axiom,
% 183.93/184.02 ! [V_f_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.93/184.02 <=> ? [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.02 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.93/184.02 & ! [B_xa] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 183.93/184.02 => ( B_x != B_xa
% 183.93/184.02 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__psubset,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_diff__card__le__card__Diff,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__Diff__subset,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.02 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__Diff,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite_OinsertI,axiom,
% 183.93/184.02 ! [V_a_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__imageI,axiom,
% 183.93/184.02 ! [V_h_2,T_c,V_F_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_infinite__UNIV__int,axiom,
% 183.93/184.02 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UNIV__option__conv,axiom,
% 183.93/184.02 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(T_b)),c_Option_Ooption_ONone(T_b)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_b),c_Option_Ooption_OSome(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__code,axiom,
% 183.93/184.02 ! [V_A_2,T_b] :
% 183.93/184.02 ( class_Finite__Set_Ofinite(T_b)
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite,axiom,
% 183.93/184.02 ! [V_A_2,T_b] :
% 183.93/184.02 ( class_Finite__Set_Ofinite(T_b)
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__UNIV__unit,axiom,
% 183.93/184.02 hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit),c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_infinite__UNIV__nat,axiom,
% 183.93/184.02 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__insert,axiom,
% 183.93/184.02 ! [V_A_2,V_a_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 183.93/184.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_rev__finite__subset,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__subset,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__Prod__UNIV,axiom,
% 183.93/184.02 ! [T_c,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__fun__UNIVD2,axiom,
% 183.93/184.02 ! [T_c,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__Plus__UNIV__iff,axiom,
% 183.93/184.02 ! [T_c,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))))
% 183.93/184.02 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.02 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__option__UNIV,axiom,
% 183.93/184.02 ! [T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool))))
% 183.93/184.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__UNIV,axiom,
% 183.93/184.02 ! [T_b] :
% 183.93/184.02 ( class_Finite__Set_Ofinite(T_b)
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__Un,axiom,
% 183.93/184.02 ! [V_Ga_2,V_F_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2)))
% 183.93/184.02 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.93/184.02 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__UnI,axiom,
% 183.93/184.02 ! [V_Ga_2,V_F_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.93/184.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__Diff2,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__UN,axiom,
% 183.93/184.02 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.02 <=> ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__surj,axiom,
% 183.93/184.02 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__Diff__insert,axiom,
% 183.93/184.02 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))))
% 183.93/184.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__infinite,axiom,
% 183.93/184.02 ! [V_A_2,T_b] :
% 183.93/184.02 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 183.93/184.02 ! [V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.02 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 183.93/184.02 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__compl,axiom,
% 183.93/184.02 ! [V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 183.93/184.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__range__imageI,axiom,
% 183.93/184.02 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__ge__0__finite,axiom,
% 183.93/184.02 ! [V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__insert__le,axiom,
% 183.93/184.02 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__mono,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__seteq,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 183.93/184.02 => V_A_2 = V_B_2 ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card__image__le,axiom,
% 183.93/184.02 ! [V_f_2,T_c,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_psubset__card__mono,axiom,
% 183.93/184.02 ! [V_A_2,V_B_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__UNIV__card__ge__0,axiom,
% 183.93/184.02 ! [T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite__fun__UNIVD1,axiom,
% 183.93/184.02 ! [T_c,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 183.93/184.02 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 183.93/184.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_type__definition_OAbs__image,axiom,
% 183.93/184.02 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.93/184.02 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.93/184.02 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_type__definition_ORep__range,axiom,
% 183.93/184.02 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.93/184.02 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 183.93/184.02 ! [V_x_2,V_y_2,V_ca_2] :
% 183.93/184.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 183.93/184.02 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_ca_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_ca_2)) )
% 183.93/184.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 183.93/184.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.02 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 183.93/184.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 183.93/184.02 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite_OemptyI,axiom,
% 183.93/184.02 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_empty__subsetI,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_finite_Oequations_I1_J,axiom,
% 183.93/184.02 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_singleton__inject,axiom,
% 183.93/184.02 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 183.93/184.02 => V_a_2 = V_ba_2 ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_doubleton__eq__iff,axiom,
% 183.93/184.02 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.02 <=> ( ( V_a_2 = V_ca_2
% 183.93/184.02 & V_ba_2 = V_d_2 )
% 183.93/184.02 | ( V_a_2 = V_d_2
% 183.93/184.02 & V_ba_2 = V_ca_2 ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_insert__not__empty,axiom,
% 183.93/184.02 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_empty__not__insert,axiom,
% 183.93/184.02 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__empty__left,axiom,
% 183.93/184.02 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__empty__right,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Un__empty,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.02 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_subset__empty,axiom,
% 183.93/184.02 ! [V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.02 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_not__psubset__empty,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_bot__fun__def,axiom,
% 183.93/184.02 ! [V_x_2,T_c,T_b] :
% 183.93/184.02 ( class_Orderings_Obot(T_b)
% 183.93/184.02 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_bot__apply,axiom,
% 183.93/184.02 ! [V_x_2,T_c,T_b] :
% 183.93/184.02 ( class_Orderings_Obot(T_b)
% 183.93/184.02 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Diff__cancel,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Diff__empty,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 183.93/184.02
% 183.93/184.02 fof(fact_empty__Diff,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_ball__empty,axiom,
% 183.93/184.02 ! [V_Pa_2,T_b,B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.02 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__is__empty,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_b,T_c] :
% 183.93/184.02 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__empty,axiom,
% 183.93/184.02 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_empty__is__image,axiom,
% 183.93/184.02 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.02 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)
% 183.93/184.02 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UNIV__not__empty,axiom,
% 183.93/184.02 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_bot__least,axiom,
% 183.93/184.02 ! [V_x,T_a] :
% 183.93/184.02 ( class_Orderings_Obot(T_a)
% 183.93/184.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_SUP__const,axiom,
% 183.93/184.02 ! [V_M_2,T_b,V_A_2,T_c] :
% 183.93/184.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.93/184.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UNION__empty__conv_I2_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_b,T_c] :
% 183.93/184.02 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 <=> ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.93/184.02 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__constant,axiom,
% 183.93/184.02 ! [V_ca_2,T_c,T_b,V_A_2] :
% 183.93/184.02 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 183.93/184.02 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = V_ca_2 ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__empty2,axiom,
% 183.93/184.02 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UNION__empty__conv_I1_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.93/184.02 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 183.93/184.02 <=> ! [B_x] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.93/184.02 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__eq__bot__iff,axiom,
% 183.93/184.02 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.02 ( class_Lattices_Obounded__lattice__bot(T_b)
% 183.93/184.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 183.93/184.02 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 183.93/184.02 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__bot__right,axiom,
% 183.93/184.02 ! [V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Obounded__lattice__bot(T_a)
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_sup__bot__left,axiom,
% 183.93/184.02 ! [V_x,T_a] :
% 183.93/184.02 ( class_Lattices_Obounded__lattice__bot(T_a)
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum_Oempty,axiom,
% 183.93/184.02 ! [V_g_2,T_c,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_setsum__empty,axiom,
% 183.93/184.02 ! [V_f_2,T_c,T_b] :
% 183.93/184.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_subset__singletonD,axiom,
% 183.93/184.02 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 183.93/184.02 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_insert__is__Un,axiom,
% 183.93/184.02 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastatMost__empty__iff,axiom,
% 183.93/184.02 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastatMost__empty__iff2,axiom,
% 183.93/184.02 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)
% 183.93/184.02 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastatMost__empty,axiom,
% 183.93/184.02 ! [V_a_2,V_ba_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2))
% 183.93/184.02 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_insert__Diff__single,axiom,
% 183.93/184.02 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Diff__insert2,axiom,
% 183.93/184.02 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Diff__insert,axiom,
% 183.93/184.02 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThan__empty,axiom,
% 183.93/184.02 ! [V_a_2,V_ba_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_a_2))
% 183.93/184.02 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_card_Oempty,axiom,
% 183.93/184.02 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThan__empty__iff,axiom,
% 183.93/184.02 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 183.93/184.02 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2)
% 183.93/184.02 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Diff__UNIV,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastAtMost__singleton,axiom,
% 183.93/184.02 ! [V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 183.93/184.02 ! [V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 183.93/184.02 <=> ( V_a_2 = V_ba_2
% 183.93/184.02 & V_ba_2 = V_ca_2 ) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastAtMost__singleton_H,axiom,
% 183.93/184.02 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( V_a_2 = V_ba_2
% 183.93/184.02 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_subset__Compl__self__eq,axiom,
% 183.93/184.02 ! [V_A_2,T_b] :
% 183.93/184.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 183.93/184.02 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Compl__UNIV__eq,axiom,
% 183.93/184.02 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_Compl__empty__eq,axiom,
% 183.93/184.02 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_atLeastLessThan0,axiom,
% 183.93/184.02 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_greaterThanAtMost__empty,axiom,
% 183.93/184.02 ! [V_k_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 183.93/184.02 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 183.93/184.02 ! [V_l_2,V_k_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 183.93/184.02 ! [V_l_2,V_k_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2)
% 183.93/184.02 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_greaterThanLessThan__empty,axiom,
% 183.93/184.02 ! [V_k_2,V_l_2,T_b] :
% 183.93/184.02 ( class_Orderings_Oorder(T_b)
% 183.93/184.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 183.93/184.02 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_lessThan__0,axiom,
% 183.93/184.02 hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_image__constant__conv,axiom,
% 183.93/184.02 ! [V_ca_2,T_c,T_b,V_A_2] :
% 183.93/184.02 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 183.93/184.02 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__extend__simps_I1_J,axiom,
% 183.93/184.02 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 183.93/184.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 183.93/184.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__singleton,axiom,
% 183.93/184.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__simps_I1_J,axiom,
% 183.93/184.02 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 183.93/184.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 183.93/184.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 183.93/184.02 ! [V_ba_2,V_a_2] :
% 183.93/184.02 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2)
% 183.93/184.02 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 183.93/184.02 ! [V_ba_2,V_a_2] :
% 183.93/184.02 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 183.93/184.02 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 183.93/184.02 ! [V_a_2,V_ba_2] :
% 183.93/184.02 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_a_2))
% 183.93/184.02 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2)) )
% 183.93/184.02 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 183.93/184.02
% 183.93/184.02 fof(fact_UN__extend__simps_I2_J,axiom,
% 183.93/184.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.93/184.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 183.93/184.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UN__extend__simps_I3_J,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.93/184.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 183.93/184.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UN__simps_I2_J,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.93/184.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 183.93/184.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UN__simps_I3_J,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 183.93/184.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 183.93/184.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_compl__bot__eq,axiom,
% 183.93/184.03 ! [T_a] :
% 183.93/184.03 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/184.03 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_compl__top__eq,axiom,
% 183.93/184.03 ! [T_a] :
% 183.93/184.03 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/184.03 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__eq__0__iff,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.03 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_single__Diff__lessThan,axiom,
% 183.93/184.03 ! [V_k_2,T_b] :
% 183.93/184.03 ( class_Orderings_Oorder(T_b)
% 183.93/184.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_image__eq__UN,axiom,
% 183.93/184.03 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_atLeastLessThan__singleton,axiom,
% 183.93/184.03 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_m_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_m_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_atMost__0,axiom,
% 183.93/184.03 hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_type__definition_ORep__inverse,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.93/184.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.93/184.03 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_type__definition_ORep__inject,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.93/184.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.93/184.03 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 183.93/184.03 <=> V_x_2 = V_y_2 ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2] :
% 183.93/184.03 ( V_a_2 = V_ba_2
% 183.93/184.03 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 183.93/184.03 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 183.93/184.03 ! [V_ca_2,V_ba_2,V_a_2] :
% 183.93/184.03 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))
% 183.93/184.03 <=> ( V_a_2 = V_ba_2
% 183.93/184.03 & V_ba_2 = V_ca_2 ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_atLeast__Suc,axiom,
% 183.93/184.03 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_greaterThan__Suc,axiom,
% 183.93/184.03 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__gt__0__iff,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 183.93/184.03 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ivl__disj__un_I2_J,axiom,
% 183.93/184.03 ! [V_u_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_atLeastLessThanSuc,axiom,
% 183.93/184.03 ! [V_n_2,V_m_2] :
% 183.93/184.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/184.03 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_n_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 183.93/184.03 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ivl__disj__un_I1_J,axiom,
% 183.93/184.03 ! [V_l_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum_Oinsert__remove,axiom,
% 183.93/184.03 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__insert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Diff1__le,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ivl__disj__un_I6_J,axiom,
% 183.93/184.03 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ivl__disj__un_I5_J,axiom,
% 183.93/184.03 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ivl__disj__un_I3_J,axiom,
% 183.93/184.03 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ivl__disj__un_I4_J,axiom,
% 183.93/184.03 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card_Oinsert__remove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_the__elem__def,axiom,
% 183.93/184.03 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 183.93/184.03 ! [V_k_2,V_l_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 183.93/184.03 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_the__elem__eq,axiom,
% 183.93/184.03 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Option_Oset_Osimps_I2_J,axiom,
% 183.93/184.03 ! [V_x_2,T_b] : c_Option_Oset(T_b,hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_derivs__insertD,axiom,
% 183.93/184.03 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 183.93/184.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2))
% 183.93/184.03 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 183.93/184.03 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_hoare__derivs_Oinsert,axiom,
% 183.93/184.03 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 183.93/184.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 183.93/184.03 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 183.93/184.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 183.93/184.03 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 183.93/184.03 ! [V_a_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_empty,axiom,
% 183.93/184.03 ! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_bot__nat__def,axiom,
% 183.93/184.03 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Comp,axiom,
% 183.93/184.03 ! [V_R_2,V_d_2,V_Q_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] :
% 183.93/184.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 183.93/184.03 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 183.93/184.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSemi(V_ca_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 183.93/184.03 ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_hoare__derivs_OSkip,axiom,
% 183.93/184.03 ! [V_Pa_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSKIP),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 183.93/184.03 c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 183.93/184.03 c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_LoopF,axiom,
% 183.93/184.03 ! [V_ca_2,V_ba_2,V_Pa_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_Pa_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_ba_2))),c_Com_Ocom_OWhile(V_ba_2,V_ca_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_simp__from__to,axiom,
% 183.93/184.03 ! [V_i_2,V_j_2] :
% 183.93/184.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 183.93/184.03 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 183.93/184.03 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),V_i_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_hoare__derivs_Oequations_I8_J,axiom,
% 183.93/184.03 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_a2_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),V_a3_2)),V_a4_2))),c_Com_Ocom_OAss(V_a3_2,V_a4_2)),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ass,axiom,
% 183.93/184.03 ! [V_a_2,V_X_2,V_Pa_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_Pa_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),V_X_2)),V_a_2))),c_Com_Ocom_OAss(V_X_2,V_a_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Option_Oset_Osimps_I1_J,axiom,
% 183.93/184.03 ! [T_b] : c_Option_Oset(T_b,c_Option_Ooption_ONone(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_set__empty__eq,axiom,
% 183.93/184.03 ! [V_xo_2,T_b] :
% 183.93/184.03 ( c_Option_Oset(T_b,V_xo_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 <=> V_xo_2 = c_Option_Ooption_ONone(T_b) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_weak__Body,axiom,
% 183.93/184.03 ! [V_Q_2,V_pn_2,V_Pa_2,V_Ga_2,T_b] :
% 183.93/184.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 183.93/184.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_BodyN,axiom,
% 183.93/184.03 ! [V_Ga_2,V_Q_2,V_pn_2,V_Pa_2,T_b] :
% 183.93/184.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),V_Ga_2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 183.93/184.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Body1,axiom,
% 183.93/184.03 ! [V_pn_2,V_Procs_2,V_Q_2,V_Pa_2,V_Ga_2,T_b] :
% 183.93/184.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),V_Procs_2))
% 183.93/184.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_Pa_2,V_pn_2)),hAPP(c_Com_Ocom_OBODY,V_pn_2)),hAPP(V_Q_2,V_pn_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_nat__def,axiom,
% 183.93/184.03 ! [V_z_2] : hAPP(c_Int_Onat,V_z_2) = c_Set_Othe__elem(tc_Nat_Onat,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__mono3,axiom,
% 183.93/184.03 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 183.93/184.03 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.03 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 => ( ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Diff__singleton,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_equalityCE,axiom,
% 183.93/184.03 ! [V_ca_2,T_b,V_B_2,V_A_2] :
% 183.93/184.03 ( V_A_2 = V_B_2
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) )
% 183.93/184.03 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_SUP2__I,axiom,
% 183.93/184.03 ! [T_d,T_c,V_ca_2,V_ba_2,V_B_2,V_A_2,V_a_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_ba_2),V_ca_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_emptyE,axiom,
% 183.93/184.03 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insertE,axiom,
% 183.93/184.03 ! [V_A_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_A_2)))
% 183.93/184.03 => ( V_a_2 != V_ba_2
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insertCI,axiom,
% 183.93/184.03 ! [V_ba_2,V_B_2,V_a_2,T_b] :
% 183.93/184.03 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 183.93/184.03 => V_a_2 = V_ba_2 )
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_subsetD,axiom,
% 183.93/184.03 ! [V_ca_2,V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UNIV__I,axiom,
% 183.93/184.03 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_image__eqI,axiom,
% 183.93/184.03 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_ba_2] :
% 183.93/184.03 ( V_ba_2 = hAPP(V_f_2,V_x_2)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UnE,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UnCI,axiom,
% 183.93/184.03 ! [V_A_2,V_B_2,V_ca_2,T_b] :
% 183.93/184.03 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) )
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_DiffI,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_DiffE,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.03 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ComplI,axiom,
% 183.93/184.03 ! [V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_SUP1__I,axiom,
% 183.93/184.03 ! [T_c,V_ba_2,V_B_2,V_A_2,V_a_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_ba_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_ba_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UN__I,axiom,
% 183.93/184.03 ! [V_B_2,V_ba_2,T_c,V_A_2,V_a_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_mem__splitI,axiom,
% 183.93/184.03 ! [T_d,T_c,V_ba_2,V_a_2,V_ca_2,V_z_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_ba_2)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_pair__imageI,axiom,
% 183.93/184.03 ! [V_f_2,T_d,V_A_2,V_ba_2,V_a_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_ba_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_bot__empty__eq2,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_equals0D,axiom,
% 183.93/184.03 ! [V_a_2,T_b,V_A_2] :
% 183.93/184.03 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_empty__iff,axiom,
% 183.93/184.03 ! [V_ca_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ex__in__conv,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.03 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_all__not__in__conv,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.03 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Diff__iff,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_DiffD1,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_DiffD2,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.03 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_bot__empty__eq,axiom,
% 183.93/184.03 ! [V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 183.93/184.03 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2)))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 183.93/184.03 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_pred__equals__eq2,axiom,
% 183.93/184.03 ! [V_S_2,V_R_2,T_c,T_b] :
% 183.93/184.03 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)
% 183.93/184.03 <=> V_R_2 = V_S_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_sup__Un__eq2,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_pred__subset__eq,axiom,
% 183.93/184.03 ! [V_S_2,V_R_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Un__iff,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 | hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UnI1,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UnI2,axiom,
% 183.93/184.03 ! [V_A_2,V_B_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_in__mono,axiom,
% 183.93/184.03 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_set__rev__mp,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_set__mp,axiom,
% 183.93/184.03 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_psubsetD,axiom,
% 183.93/184.03 ! [V_ca_2,V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Rep__Integ__inject,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2] :
% 183.93/184.03 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 183.93/184.03 <=> V_x_2 = V_y_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_eq__mem__trans,axiom,
% 183.93/184.03 ! [V_A_2,T_b,V_ba_2,V_a_2] :
% 183.93/184.03 ( V_a_2 = V_ba_2
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_eqelem__imp__iff,axiom,
% 183.93/184.03 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 183.93/184.03 ( V_x_2 = V_y_2
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_eqset__imp__iff,axiom,
% 183.93/184.03 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 183.93/184.03 ( V_A_2 = V_B_2
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_mem__def,axiom,
% 183.93/184.03 ! [V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_eq__mem,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 183.93/184.03 <=> V_x_2 = V_y_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_pred__equals__eq,axiom,
% 183.93/184.03 ! [V_S_2,V_R_2,T_b] :
% 183.93/184.03 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)
% 183.93/184.03 <=> V_R_2 = V_S_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ComplE,axiom,
% 183.93/184.03 ! [V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 183.93/184.03 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ComplD,axiom,
% 183.93/184.03 ! [V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 183.93/184.03 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Compl__iff,axiom,
% 183.93/184.03 ! [V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 183.93/184.03 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_type__definition_ORep,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.93/184.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_type__definition_OAbs__inverse,axiom,
% 183.93/184.03 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.93/184.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 183.93/184.03 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_type__definition_OAbs__inject,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 183.93/184.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 183.93/184.03 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 183.93/184.03 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_image__iff,axiom,
% 183.93/184.03 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 183.93/184.03 <=> ? [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.93/184.03 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_imageI,axiom,
% 183.93/184.03 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_rev__image__eqI,axiom,
% 183.93/184.03 ! [T_c,V_f_2,V_ba_2,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( V_ba_2 = hAPP(V_f_2,V_x_2)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 183.93/184.03 ! [V_A_2,V_x_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insertI1,axiom,
% 183.93/184.03 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insert__iff,axiom,
% 183.93/184.03 ! [V_A_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_A_2)))
% 183.93/184.03 <=> ( V_a_2 = V_ba_2
% 183.93/184.03 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insert__ident,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.93/184.03 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)
% 183.93/184.03 <=> V_A_2 = V_B_2 ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insertI2,axiom,
% 183.93/184.03 ! [V_ba_2,V_B_2,V_a_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insert__absorb,axiom,
% 183.93/184.03 ! [V_A_2,V_a_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_sup__Un__eq,axiom,
% 183.93/184.03 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UN__iff,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_c,V_ba_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.03 <=> ? [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.93/184.03 & hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,B_x))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_singletonE,axiom,
% 183.93/184.03 ! [V_a_2,V_ba_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 183.93/184.03 => V_ba_2 = V_a_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_singleton__iff,axiom,
% 183.93/184.03 ! [V_a_2,V_ba_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 183.93/184.03 <=> V_ba_2 = V_a_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insert__subset,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.93/184.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_subset__insert,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insert__image,axiom,
% 183.93/184.03 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_range__eqI,axiom,
% 183.93/184.03 ! [T_c,T_b,V_x_2,V_f_2,V_ba_2] :
% 183.93/184.03 ( V_ba_2 = hAPP(V_f_2,V_x_2)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_rangeI,axiom,
% 183.93/184.03 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insert__Diff1,axiom,
% 183.93/184.03 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.93/184.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insert__Diff__if,axiom,
% 183.93/184.03 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 183.93/184.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.93/184.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.93/184.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_lessThan__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_i_2,T_b] :
% 183.93/184.03 ( class_Orderings_Oord(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 183.93/184.03 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2)))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 183.93/184.03 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 183.93/184.03 ! [V_A_2,V_x_2] :
% 183.93/184.03 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 183.93/184.03 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_atMost__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_i_2,T_b] :
% 183.93/184.03 ( class_Orderings_Oord(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_atLeast__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_i_2,T_b] :
% 183.93/184.03 ( class_Orderings_Oord(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_greaterThan__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_i_2,T_b] :
% 183.93/184.03 ( class_Orderings_Oord(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 183.93/184.03 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 183.93/184.03 <=> V_x_2 = V_y_2 ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_le__SUPI,axiom,
% 183.93/184.03 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 183.93/184.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_nat__of,axiom,
% 183.93/184.03 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_x_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2] :
% 183.93/184.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 183.93/184.03 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_SUP__UN__eq2,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UN__insert__distrib,axiom,
% 183.93/184.03 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UN__upper,axiom,
% 183.93/184.03 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_SUP__UN__eq,axiom,
% 183.93/184.03 ! [V_x_2,V_r_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UN__absorb,axiom,
% 183.93/184.03 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_elem__set,axiom,
% 183.93/184.03 ! [V_xo_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Option_Oset(T_b,V_xo_2)))
% 183.93/184.03 <=> V_xo_2 = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_pred__subset__eq2,axiom,
% 183.93/184.03 ! [V_S_2,V_R_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_insert__Diff,axiom,
% 183.93/184.03 ! [V_A_2,V_a_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Diff__insert__absorb,axiom,
% 183.93/184.03 ! [V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2] :
% 183.93/184.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__delta_H,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_ba_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_ba_2,V_a_2) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_ba_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__delta,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_ba_2,V_a_2) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_image__constant,axiom,
% 183.93/184.03 ! [V_ca_2,T_c,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_of__nat__inverse,axiom,
% 183.93/184.03 ! [V_y_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 183.93/184.03 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum_Oinsert,axiom,
% 183.93/184.03 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__insert,axiom,
% 183.93/184.03 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_diff__single__insert,axiom,
% 183.93/184.03 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_subset__insert__iff,axiom,
% 183.93/184.03 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 183.93/184.03 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__insert__if,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__insert__disjoint,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card_Oinsert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_psubset__insert__iff,axiom,
% 183.93/184.03 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 183.93/184.03 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__diff1__nat,axiom,
% 183.93/184.03 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 183.93/184.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum_Oremove,axiom,
% 183.93/184.03 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__diff1_H,axiom,
% 183.93/184.03 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__diff1,axiom,
% 183.93/184.03 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Oab__group__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__diff1__ring,axiom,
% 183.93/184.03 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Rings_Oring(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Suc__Diff1,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Diff2__less,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Diff1__less,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Diff__insert,axiom,
% 183.93/184.03 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card_Oremove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Diff__singleton__if,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_in__rel__def,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_finite__pointwise,axiom,
% 183.93/184.03 ! [V_Q_2,V_Pa_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_c,V_U_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_U_2))
% 183.93/184.03 => ( ! [B_p] :
% 183.93/184.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_P_H_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 183.93/184.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_Pa_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) )
% 183.93/184.03 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2))
% 183.93/184.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_Pa_2)),V_c0_2)),V_Q_2)),V_U_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 183.93/184.03 ! [V_f_2,V_A_2,T_b] :
% 183.93/184.03 ( ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.03 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_bset_I8_J,axiom,
% 183.93/184.03 ! [V_B_2,V_t_2,V_D_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 183.93/184.03 => ! [B_x] :
% 183.93/184.03 ( ! [B_xa] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.03 => ! [B_xb] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.93/184.03 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_sup2CI,axiom,
% 183.93/184.03 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 183.93/184.03 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 183.93/184.03 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_sup2E,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_bot2E,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_less__by__empty,axiom,
% 183.93/184.03 ! [V_B_2,T_b,V_A_2] :
% 183.93/184.03 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_SUP2__iff,axiom,
% 183.93/184.03 ! [V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2))
% 183.93/184.03 <=> ? [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.03 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_ba_2),V_ca_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_sup2I2,axiom,
% 183.93/184.03 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_sup2I1,axiom,
% 183.93/184.03 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nitpick_Orefl_H__def,axiom,
% 183.93/184.03 ! [V_r_2,T_b] :
% 183.93/184.03 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 183.93/184.03 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_aset_I6_J,axiom,
% 183.93/184.03 ! [V_A_2,V_t_2,V_D_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 183.93/184.03 => ! [B_x] :
% 183.93/184.03 ( ! [B_xa] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.03 => ! [B_xb] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.93/184.03 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OgreaterThan__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_i_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 183.93/184.03 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ord_OgreaterThan__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OlessThan__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_i_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 183.93/184.03 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_aset_I4_J,axiom,
% 183.93/184.03 ! [V_A_2,V_t_2,V_D_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 183.93/184.03 => ! [B_x] :
% 183.93/184.03 ( ! [B_xa] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.03 => ! [B_xb] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.93/184.03 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.03 => ( B_x != V_t_2
% 183.93/184.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_bset_I4_J,axiom,
% 183.93/184.03 ! [V_B_2,V_t_2,V_D_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 183.93/184.03 => ! [B_x] :
% 183.93/184.03 ( ! [B_xa] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.03 => ! [B_xb] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.93/184.03 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.03 => ( B_x != V_t_2
% 183.93/184.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ord_OlessThan__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_bset_I3_J,axiom,
% 183.93/184.03 ! [V_B_2,V_t_2,V_D_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 183.93/184.03 => ( ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.03 => ! [B_xa] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 183.93/184.03 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 183.93/184.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_aset_I3_J,axiom,
% 183.93/184.03 ! [V_A_2,V_t_2,V_D_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 183.93/184.03 => ( ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.03 => ! [B_xa] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 183.93/184.03 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 183.93/184.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_aset_I5_J,axiom,
% 183.93/184.03 ! [V_A_2,V_t_2,V_D_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 183.93/184.03 => ! [B_x] :
% 183.93/184.03 ( ! [B_xa] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.03 => ! [B_xb] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 183.93/184.03 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_bset_I7_J,axiom,
% 183.93/184.03 ! [V_B_2,V_t_2,V_D_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 183.93/184.03 => ! [B_x] :
% 183.93/184.03 ( ! [B_xa] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 183.93/184.03 => ! [B_xb] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 183.93/184.03 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_in__measure,axiom,
% 183.93/184.03 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OatMost__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_i_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ord_OatMost__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OatLeast__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_i_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatLeast(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_folding__image__simple_Oremove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_folding__one_Oremove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.93/184.03 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_folding__image__simple_Oempty,axiom,
% 183.93/184.03 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.93/184.03 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_folding__one_Osingleton,axiom,
% 183.93/184.03 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 183.93/184.03 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.93/184.03 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_folding__image__simple_Oinsert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_folding__one_Oinsert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.93/184.03 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.93/184.03 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_folding__one_Oinsert__remove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.93/184.03 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ord_OatLeast__iff,axiom,
% 183.93/184.03 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 183.93/184.03 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2)
% 183.93/184.03 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__mono2,axiom,
% 183.93/184.03 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 => ( ! [B_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_flat__lub__def,axiom,
% 183.93/184.03 ! [V_ba_2,V_A_2,T_b] :
% 183.93/184.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 183.93/184.03 => c_Partial__Function_Oflat__lub(T_b,V_ba_2,V_A_2) = V_ba_2 )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 183.93/184.03 => c_Partial__Function_Oflat__lub(T_b,V_ba_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 183.93/184.03 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 183.93/184.03 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_mlex__leq,axiom,
% 183.93/184.03 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_mlex__less,axiom,
% 183.93/184.03 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__bounded,axiom,
% 183.93/184.03 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 183.93/184.03 & class_Rings_Osemiring__1(T_c) )
% 183.93/184.03 => ( ! [B_i] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Suc__eq,axiom,
% 183.93/184.03 ! [V_k_2,V_A_2,T_b] :
% 183.93/184.03 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 183.93/184.03 <=> ? [B_b,B_B] :
% 183.93/184.03 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 183.93/184.03 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 183.93/184.03 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 183.93/184.03 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 183.93/184.03 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 183.93/184.03 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 183.93/184.03 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 183.93/184.03 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 183.93/184.03 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 183.93/184.03 ! [V_k_2,V_l_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 183.93/184.03 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 183.93/184.03 ! [V_a_2,V_ba_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_a_2))
% 183.93/184.03 => c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 183.93/184.03 ! [V_l_2,V_k_2] :
% 183.93/184.03 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 183.93/184.03 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 183.93/184.03 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2] :
% 183.93/184.03 ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 183.93/184.03 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2))
% 183.93/184.03 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_a_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 183.93/184.03 ! [V_l_2,V_k_2] :
% 183.93/184.03 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2)
% 183.93/184.03 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 183.93/184.03 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2] :
% 183.93/184.03 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_ba_2)
% 183.93/184.03 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2))
% 183.93/184.03 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_a_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nats__number__of,axiom,
% 183.93/184.03 ! [V_w_2,T_b] :
% 183.93/184.03 ( class_Int_Onumber__ring(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__odd__less__0,axiom,
% 183.93/184.03 ! [V_a_2,T_b] :
% 183.93/184.03 ( class_Rings_Olinordered__idom(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Sup__fin_Oremove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Lattices_Olattice(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Sup__fin_Osingleton,axiom,
% 183.93/184.03 ! [V_x_2,T_b] :
% 183.93/184.03 ( class_Lattices_Olattice(T_b)
% 183.93/184.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__0,axiom,
% 183.93/184.03 ! [T_b] :
% 183.93/184.03 ( class_Rings_Oring__1(T_b)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__add,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.03 ( class_Rings_Oring__1(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ba_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__mult,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.03 ( class_Rings_Oring__1(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__diff,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.03 ( class_Rings_Oring__1(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__number__of,axiom,
% 183.93/184.03 ! [V_w_2,T_b] :
% 183.93/184.03 ( class_Int_Onumber__ring(T_b)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__1,axiom,
% 183.93/184.03 ! [T_b] :
% 183.93/184.03 ( class_Rings_Oring__1(T_b)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__minus,axiom,
% 183.93/184.03 ! [V_a_2,T_b] :
% 183.93/184.03 ( class_Rings_Oring__1(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__of__nat,axiom,
% 183.93/184.03 ! [V_n_2,T_b] :
% 183.93/184.03 ( class_Rings_Oring__1(T_b)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__power,axiom,
% 183.93/184.03 ! [V_n_2,V_a_2,T_b] :
% 183.93/184.03 ( class_Rings_Oring__1(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__of__int,axiom,
% 183.93/184.03 ! [V_z_2,T_b] :
% 183.93/184.03 ( class_Rings_Oring__1(T_b)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Sup__fin_Oin__idem,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Lattices_Olattice(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nats__0,axiom,
% 183.93/184.03 ! [T_b] :
% 183.93/184.03 ( class_Rings_Osemiring__1(T_b)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nats__add,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.03 ( class_Rings_Osemiring__1(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ba_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nats__mult,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2,T_b] :
% 183.93/184.03 ( class_Rings_Osemiring__1(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Nats__1,axiom,
% 183.93/184.03 ! [T_b] :
% 183.93/184.03 ( class_Rings_Osemiring__1(T_b)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_of__nat__in__Nats,axiom,
% 183.93/184.03 ! [V_n_2,T_b] :
% 183.93/184.03 ( class_Rings_Osemiring__1(T_b)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__double__eq__0__iff,axiom,
% 183.93/184.03 ! [V_a_2,T_b] :
% 183.93/184.03 ( class_Int_Oring__char__0(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 183.93/184.03 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Lattices_Olattice(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Sup__fin_Osubset__idem,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Lattices_Olattice(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Sup__fin_Ounion__idem,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Lattices_Olattice(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Ints__odd__nonzero,axiom,
% 183.93/184.03 ! [V_a_2,T_b] :
% 183.93/184.03 ( class_Int_Oring__char__0(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 183.93/184.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Sup__fin_Oinsert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Lattices_Olattice(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Lattices_Olattice(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Sup__fin_Oclosed,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( class_Lattices_Olattice(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max_Oremove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min_Oremove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_minus__Max__eq__Min,axiom,
% 183.93/184.03 ! [V_S_2,T_b] :
% 183.93/184.03 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.93/184.03 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_minus__Min__eq__Max,axiom,
% 183.93/184.03 ! [V_S_2,T_b] :
% 183.93/184.03 ( class_Groups_Olinordered__ab__group__add(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.93/184.03 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max_Osingleton,axiom,
% 183.93/184.03 ! [V_x_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min_Osingleton,axiom,
% 183.93/184.03 ! [V_x_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max__ge,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min__le,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max__in,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min__in,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min_Oin__idem,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max_Oin__idem,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min__antimono,axiom,
% 183.93/184.03 ! [V_N_2,V_M_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 183.93/184.03 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max__mono,axiom,
% 183.93/184.03 ! [V_N_2,V_M_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 183.93/184.03 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min__insert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max__insert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min_Osubset__idem,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max_Osubset__idem,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min__Un,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max__Un,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min_Oinsert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max_Oinsert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min_Oinsert__remove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max_Oinsert__remove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max_Oclosed,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min_Oclosed,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_iso__tuple__UNIV__I,axiom,
% 183.93/184.03 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 183.93/184.03 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 183.93/184.03 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 183.93/184.03 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 183.93/184.03 | ? [B_x,B_y] :
% 183.93/184.03 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 183.93/184.03 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 183.93/184.03 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_in__lex__prod,axiom,
% 183.93/184.03 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_ba_2,V_a_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2)))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2))
% 183.93/184.03 | ( V_a_2 = V_a_H_2
% 183.93/184.03 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_ba_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Plus__conv__if,axiom,
% 183.93/184.03 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.93/184.03 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) )
% 183.93/184.03 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_InrI,axiom,
% 183.93/184.03 ! [V_A_2,T_c,V_B_2,V_ba_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_sum(T_c,T_b)),hAPP(c_Sum__Type_OInr(T_b,T_c),V_ba_2)),c_Sum__Type_OPlus(T_c,T_b,V_A_2,V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_InlI,axiom,
% 183.93/184.03 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_sum(T_b,T_c)),hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_2)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Plus__eq__empty__conv,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.93/184.03 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))
% 183.93/184.03 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Plus__def,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_sum(T_b,T_c),c_Sum__Type_OInl(T_b,T_c)),V_A_2)),hAPP(c_Set_Oimage(T_c,tc_sum(T_b,T_c),c_Sum__Type_OInr(T_c,T_b)),V_B_2)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_finite__Plus__iff,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 183.93/184.03 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_finite__Plus,axiom,
% 183.93/184.03 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_finite__PlusD_I1_J,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 183.93/184.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_finite__PlusD_I2_J,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 183.93/184.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UNIV__Plus__UNIV,axiom,
% 183.93/184.03 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Plus,axiom,
% 183.93/184.03 ! [V_B_2,T_c,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_same__fstI,axiom,
% 183.93/184.03 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 183.93/184.03 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_in__finite__psubset,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b)))
% 183.93/184.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 183.93/184.03 ! [V_x_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 183.93/184.03 ! [V_a_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__le__Sup,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 183.93/184.03 ! [V_x_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 183.93/184.03 ! [V_a_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 183.93/184.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_folding__one_Oclosed,axiom,
% 183.93/184.03 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 183.93/184.03 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__image,axiom,
% 183.93/184.03 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__triv,axiom,
% 183.93/184.03 ! [V_x_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__idem,axiom,
% 183.93/184.03 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 183.93/184.03 ( hAPP(V_f_2,V_x_2) = V_y_2
% 183.93/184.03 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,T_b),V_f_2),V_x_2),V_y_2) = V_f_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__other,axiom,
% 183.93/184.03 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 183.93/184.03 ( V_z_2 != V_x_2
% 183.93/184.03 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__twist,axiom,
% 183.93/184.03 ! [V_d_2,V_ba_2,V_m_2,T_c,T_b,V_ca_2,V_a_2] :
% 183.93/184.03 ( V_a_2 != V_ca_2
% 183.93/184.03 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_m_2),V_a_2),V_ba_2)),V_ca_2),V_d_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_m_2),V_ca_2),V_d_2)),V_a_2),V_ba_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__apply,axiom,
% 183.93/184.03 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 183.93/184.03 ( ( V_z_2 = V_x_2
% 183.93/184.03 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2),V_z_2) = V_y_2 )
% 183.93/184.03 & ( V_z_2 != V_x_2
% 183.93/184.03 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__same,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,T_b),V_f_2),V_x_2),V_y_2),V_x_2) = V_y_2 ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__upd,axiom,
% 183.93/184.03 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2)),V_x_2),V_z_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_z_2) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__idem__iff,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2) = V_f_2
% 183.93/184.03 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__def,axiom,
% 183.93/184.03 ! [V_ba_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 183.93/184.03 ( ( V_x_2 = V_a_2
% 183.93/184.03 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_a_2),V_ba_2),V_x_2) = V_ba_2 )
% 183.93/184.03 & ( V_x_2 != V_a_2
% 183.93/184.03 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_a_2),V_ba_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_finite__range__updI,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),hAPP(c_Set_Oimage(T_c,tc_Option_Ooption(T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 183.93/184.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),hAPP(c_Set_Oimage(T_c,tc_Option_Ooption(T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_f_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_ba_2))),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_image__map__upd,axiom,
% 183.93/184.03 ! [V_y_2,V_m_2,T_c,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_c),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2))),V_A_2) = hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_c),V_m_2),V_A_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_map__upd__nonempty,axiom,
% 183.93/184.03 ! [V_x_2,V_k_2,V_t_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_c),V_x_2)) != hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_map__upd__Some__unfold,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_ba_2,V_a_2,V_m_2,T_b,T_c] :
% 183.93/184.03 ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_ba_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2)
% 183.93/184.03 <=> ( ( V_x_2 = V_a_2
% 183.93/184.03 & V_ba_2 = V_y_2 )
% 183.93/184.03 | ( V_x_2 != V_a_2
% 183.93/184.03 & hAPP(V_m_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_map__upd__triv,axiom,
% 183.93/184.03 ! [T_c,V_x_2,T_b,V_k_2,V_t_2] :
% 183.93/184.03 ( hAPP(V_t_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2)
% 183.93/184.03 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = V_t_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_map__upd__eqD1,axiom,
% 183.93/184.03 ! [V_y_2,V_n_2,V_x_2,V_a_2,V_m_2,T_c,T_b] :
% 183.93/184.03 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_x_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_n_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2))
% 183.93/184.03 => V_x_2 = V_y_2 ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_empty__upd__none,axiom,
% 183.93/184.03 ! [V_xa_2,V_x_2,T_b,T_c] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b))),V_x_2),c_Option_Ooption_ONone(T_b)),V_xa_2) = c_Option_Ooption_ONone(T_b) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ran__map__upd,axiom,
% 183.93/184.03 ! [V_ba_2,T_c,T_b,V_a_2,V_m_2] :
% 183.93/184.03 ( hAPP(V_m_2,V_a_2) = c_Option_Ooption_ONone(T_b)
% 183.93/184.03 => c_Map_Oran(T_c,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_ba_2))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Map_Oran(T_c,T_b,V_m_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__None__restrict,axiom,
% 183.93/184.03 ! [V_m_2,T_c,V_D_2,V_x_2,T_b] :
% 183.93/184.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_D_2))
% 183.93/184.03 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_c)) = c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_D_2))
% 183.93/184.03 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_c)) = c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__gen__delta,axiom,
% 183.93/184.03 ! [V_ca_2,V_ba_2,V_a_2,V_S_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_ba_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_ca_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_restrict__in,axiom,
% 183.93/184.03 ! [V_m_2,T_c,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__1,axiom,
% 183.93/184.03 ! [V_A_2,T_c,T_b] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_of__int__setprod,axiom,
% 183.93/184.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.93/184.03 & class_Rings_Oring__1(T_b) )
% 183.93/184.03 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 183.93/184.03 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_of__nat__setprod,axiom,
% 183.93/184.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.93/184.03 & class_Rings_Osemiring__1(T_b) )
% 183.93/184.03 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_int__setprod,axiom,
% 183.93/184.03 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__timesf,axiom,
% 183.93/184.03 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_abs__setprod,axiom,
% 183.93/184.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( class_Fields_Olinordered__field(T_b)
% 183.93/184.03 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 183.93/184.03 ! [V_A_2,V_f_2,T_b] :
% 183.93/184.03 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.03 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__zero,axiom,
% 183.93/184.03 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Rings_Ocomm__semiring__1(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ? [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.03 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__zero__iff,axiom,
% 183.93/184.03 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 183.93/184.03 & class_Rings_Ono__zero__divisors(T_c) )
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c)
% 183.93/184.03 <=> ? [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.03 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__empty,axiom,
% 183.93/184.03 ! [V_f_2,T_c,T_b] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod_Oempty,axiom,
% 183.93/184.03 ! [V_g_2,T_c,T_b] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__infinite,axiom,
% 183.93/184.03 ! [V_f_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod_Oinfinite,axiom,
% 183.93/184.03 ! [V_g_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__eq__1__iff,axiom,
% 183.93/184.03 ! [V_f_2,V_F_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.93/184.03 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 183.93/184.03 <=> ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 183.93/184.03 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_restrict__map__empty,axiom,
% 183.93/184.03 ! [V_x_2,V_D_2,T_b,T_c] : hAPP(c_Map_Orestrict__map(T_c,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b)),V_D_2),V_x_2) = c_Option_Ooption_ONone(T_b) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 183.93/184.03 ! [V_f_2,V_A_2,T_b] :
% 183.93/184.03 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 183.93/184.03 & class_Groups_Ocomm__monoid__mult(T_b) )
% 183.93/184.03 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod_Odistrib,axiom,
% 183.93/184.03 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__dividef,axiom,
% 183.93/184.03 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Fields_Ofield__inverse__zero(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_restrict__out,axiom,
% 183.93/184.03 ! [V_m_2,T_c,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_c) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_dvd__setprod,axiom,
% 183.93/184.03 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Rings_Ocomm__semiring__1(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,V_i_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__pos__nat__iff,axiom,
% 183.93/184.03 ! [V_f_2,V_S_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2)))
% 183.93/184.03 <=> ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__dvd__setprod__subset,axiom,
% 183.93/184.03 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 183.93/184.03 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 & class_Rings_Odvd(T_c) )
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_restrict__map__insert,axiom,
% 183.93/184.03 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : c_Map_Orestrict__map(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_f_2,V_A_2)),V_a_2),hAPP(V_f_2,V_a_2)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__delta,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_ba_2,V_a_2) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__delta_H,axiom,
% 183.93/184.03 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_ba_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_ba_2,V_a_2) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_ba_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_restrict__map__def,axiom,
% 183.93/184.03 ! [V_m_2,T_c,V_A_2,V_x_2,T_b] :
% 183.93/184.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_c) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_restrict__map__to__empty,axiom,
% 183.93/184.03 ! [V_x_2,V_m_2,T_b,T_c] : hAPP(c_Map_Orestrict__map(T_c,T_b,V_m_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_x_2) = c_Option_Ooption_ONone(T_b) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__constant,axiom,
% 183.93/184.03 ! [V_y_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod_Oinsert,axiom,
% 183.93/184.03 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__insert,axiom,
% 183.93/184.03 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ranI,axiom,
% 183.93/184.03 ! [T_c,V_ba_2,T_b,V_a_2,V_m_2] :
% 183.93/184.03 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_b),V_ba_2)
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Map_Oran(T_c,T_b,V_m_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod_Oinsert__remove,axiom,
% 183.93/184.03 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__restrict,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_D_2,V_m_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2),V_y_2) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_ran__empty,axiom,
% 183.93/184.03 ! [T_b,T_c] : c_Map_Oran(T_c,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod_Oremove,axiom,
% 183.93/184.03 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__diff1,axiom,
% 183.93/184.03 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 183.93/184.03 ( class_Fields_Ofield(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 183.93/184.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_fun__upd__restrict__conv,axiom,
% 183.93/184.03 ! [V_y_2,V_m_2,T_c,V_D_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_D_2))
% 183.93/184.03 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2),V_y_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_restrict__fun__upd,axiom,
% 183.93/184.03 ! [V_y_2,V_m_2,T_c,V_D_2,V_x_2,T_b] :
% 183.93/184.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_D_2))
% 183.93/184.03 => c_Map_Orestrict__map(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_x_2),V_y_2),V_D_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2),V_y_2) )
% 183.93/184.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_D_2))
% 183.93/184.03 => c_Map_Orestrict__map(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_x_2),V_y_2),V_D_2) = c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_restrict__complement__singleton__eq,axiom,
% 183.93/184.03 ! [V_x_2,V_f_2,T_c,T_b] : c_Map_Orestrict__map(T_b,T_c,V_f_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_f_2),V_x_2),c_Option_Ooption_ONone(T_c)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_restrict__upd__same,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2,V_m_2,T_c,T_b] : c_Map_Orestrict__map(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__nonneg__leq__bound,axiom,
% 183.93/184.03 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Oordered__ab__group__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 183.93/184.03 => ( ! [B_i] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 183.93/184.03 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__nonneg__0,axiom,
% 183.93/184.03 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Oordered__ab__group__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 183.93/184.03 => ( ! [B_i] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 183.93/184.03 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 183.93/184.03 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_pair__lessI2,axiom,
% 183.93/184.03 ! [V_t_2,V_s_2,V_ba_2,V_a_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_ba_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__less)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_pair__lessI1,axiom,
% 183.93/184.03 ! [V_t_2,V_s_2,V_ba_2,V_a_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__less)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_pair__leqI2,axiom,
% 183.93/184.03 ! [V_t_2,V_s_2,V_ba_2,V_a_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_ba_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_smax__insertI,axiom,
% 183.93/184.03 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),V_Y_2)),c_FunDef_Omax__strict))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_X_2)),V_Y_2)),c_FunDef_Omax__strict)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_smin__insertI,axiom,
% 183.93/184.03 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__strict))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__strict)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_smin__emptyI,axiom,
% 183.93/184.03 ! [V_X_2] :
% 183.93/184.03 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__strict)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_smax__emptyI,axiom,
% 183.93/184.03 ! [V_Y_2] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 183.93/184.03 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_Y_2)),c_FunDef_Omax__strict)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_pair__leqI1,axiom,
% 183.93/184.03 ! [V_t_2,V_s_2,V_ba_2,V_a_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__leq)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_wmin__insertI,axiom,
% 183.93/184.03 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__weak))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__weak)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_wmax__insertI,axiom,
% 183.93/184.03 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omax__weak))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)),V_YS_2)),c_FunDef_Omax__weak)) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 183.93/184.03 ! [V_f_2,V_A_2,T_b] :
% 183.93/184.03 ( ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.03 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_wmax__emptyI,axiom,
% 183.93/184.03 ! [V_X_2] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_X_2)),c_FunDef_Omax__weak)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_wmin__emptyI,axiom,
% 183.93/184.03 ! [V_X_2] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__weak)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__weak__def,axiom,
% 183.93/184.03 c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_max__weak__def,axiom,
% 183.93/184.03 c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__rpair__set,axiom,
% 183.93/184.03 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omin__strict),c_FunDef_Omin__weak)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_max__strict__def,axiom,
% 183.93/184.03 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_max__ext__additive,axiom,
% 183.93/184.03 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__strict__def,axiom,
% 183.93/184.03 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_max__rpair__set,axiom,
% 183.93/184.03 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omax__strict),c_FunDef_Omax__weak)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_max__extp__max__ext__eq,axiom,
% 183.93/184.03 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 183.93/184.03 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2)
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_less__than__iff,axiom,
% 183.93/184.03 ! [V_y_2,V_x_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Wellfounded_Oless__than))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_intrel__iff,axiom,
% 183.93/184.03 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2))),c_Int_Ointrel))
% 183.93/184.03 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_pair__less__def,axiom,
% 183.93/184.03 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_mlex__prod__def,axiom,
% 183.93/184.03 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_rp__inv__image__rp,axiom,
% 183.93/184.03 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 183.93/184.03 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 183.93/184.03 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 183.93/184.03 ! [V_N_2,V_h_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.93/184.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_rp__inv__image__def,axiom,
% 183.93/184.03 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_in__inv__image,axiom,
% 183.93/184.03 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 183.93/184.03 ! [V_N_2,V_h_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.93/184.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Max_Ohom__commute,axiom,
% 183.93/184.03 ! [V_N_2,V_h_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.93/184.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_measure__def,axiom,
% 183.93/184.03 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_irrefl__def,axiom,
% 183.93/184.03 ! [V_r_2,T_b] :
% 183.93/184.03 ( c_Relation_Oirrefl(T_b,V_r_2)
% 183.93/184.03 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Field__insert,axiom,
% 183.93/184.03 ! [V_r_2,V_ba_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Id__on__def,axiom,
% 183.93/184.03 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Id__on__def_H,axiom,
% 183.93/184.03 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Id__on__empty,axiom,
% 183.93/184.03 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Field__empty,axiom,
% 183.93/184.03 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_mono__Field,axiom,
% 183.93/184.03 ! [V_s_2,V_r_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Field__Un,axiom,
% 183.93/184.03 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_finite__Field,axiom,
% 183.93/184.03 ! [V_r_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 183.93/184.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Id__on__eqI,axiom,
% 183.93/184.03 ! [V_A_2,T_b,V_ba_2,V_a_2] :
% 183.93/184.03 ( V_a_2 = V_ba_2
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Id__on__iff,axiom,
% 183.93/184.03 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2)))
% 183.93/184.03 <=> ( V_x_2 = V_y_2
% 183.93/184.03 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Id__onE,axiom,
% 183.93/184.03 ! [V_A_2,V_ca_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_ca_2),c_Relation_OId__on(T_b,V_A_2)))
% 183.93/184.03 => ~ ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.03 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Min_Ohom__commute,axiom,
% 183.93/184.03 ! [V_N_2,V_h_2,T_b] :
% 183.93/184.03 ( class_Orderings_Olinorder(T_b)
% 183.93/184.03 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.93/184.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Sup__fin_Ohom__commute,axiom,
% 183.93/184.03 ! [V_N_2,V_h_2,T_b] :
% 183.93/184.03 ( class_Lattices_Olattice(T_b)
% 183.93/184.03 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 183.93/184.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__mono__one__left,axiom,
% 183.93/184.03 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 183.93/184.03 => ( ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 183.93/184.03 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setprod__mono__one__right,axiom,
% 183.93/184.03 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 183.93/184.03 => ( ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 183.93/184.03 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__mono__zero__right,axiom,
% 183.93/184.03 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 183.93/184.03 => ( ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 183.93/184.03 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_setsum__mono__zero__left,axiom,
% 183.93/184.03 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 183.93/184.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 183.93/184.03 => ( ! [B_x] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 183.93/184.03 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 183.93/184.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_escape,axiom,
% 183.93/184.03 ! [V_Q_2,V_ca_2,V_Ga_2,T_b,V_Pa_2] :
% 183.93/184.03 ( ! [B_Z,B_s] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 183.93/184.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )
% 183.93/184.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_card__Pow,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_PowI,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Pow__insert,axiom,
% 183.93/184.03 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Pow__empty,axiom,
% 183.93/184.03 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Pow__bottom,axiom,
% 183.93/184.03 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Pow__not__empty,axiom,
% 183.93/184.03 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Pow__top,axiom,
% 183.93/184.03 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_PowD,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Pow__iff,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Cantors__paradox,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_image__Pow__surj,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 183.93/184.03 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 183.93/184.03 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Pow__UNIV,axiom,
% 183.93/184.03 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_finite__Pow__iff,axiom,
% 183.93/184.03 ! [V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 183.93/184.03 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Pow__mono,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Un__Pow__subset,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_UN__Pow__subset,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_Powp__Pow__eq,axiom,
% 183.93/184.03 ! [V_x_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 183.93/184.03 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_image__Pow__mono,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2))
% 183.93/184.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_finite__empty__induct,axiom,
% 183.93/184.03 ! [V_Pa_2,V_A_2,T_b] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 183.93/184.03 => ( ! [B_a,B_A] :
% 183.93/184.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 183.93/184.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 183.93/184.03 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 183.93/184.03 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) )
% 183.93/184.03 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 183.93/184.03 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.93/184.03 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.03 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ).
% 183.93/184.03
% 183.93/184.03 fof(fact_finite__subset__induct,axiom,
% 183.93/184.04 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.04 => ( ! [B_a,B_F] :
% 183.93/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 183.93/184.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 183.93/184.04 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 183.93/184.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 183.93/184.04 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding__one__idem_Oidem,axiom,
% 183.93/184.04 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.93/184.04 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding__one__idem_Oin__idem,axiom,
% 183.93/184.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.04 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 183.93/184.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.04 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setsum__strict__mono,axiom,
% 183.93/184.04 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 183.93/184.04 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.04 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => ( ! [B_x] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_equiv__intrel__iff,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2] :
% 183.93/184.04 ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))) = hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))
% 183.93/184.04 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_Int_Ointrel)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setsum__Plus,axiom,
% 183.93/184.04 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 183.93/184.04 ( class_Groups_Ocomm__monoid__add(T_d)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.93/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_sum(T_b,T_c),T_d),V_f_2),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(tc_sum(T_b,T_c),T_d,T_b,V_f_2),c_Sum__Type_OInl(T_b,T_c))),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(c_Fun_Ocomp(tc_sum(T_b,T_c),T_d,T_c,V_f_2),c_Sum__Type_OInr(T_c,T_b))),V_B_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Image__empty,axiom,
% 183.93/184.04 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Image__Un,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Image__UN,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_image__compose,axiom,
% 183.93/184.04 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_K__record__comp,axiom,
% 183.93/184.04 ! [V_x_2,V_f_2,V_ca_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_f_2),V_x_2) = V_ca_2 ).
% 183.93/184.04
% 183.93/184.04 fof(fact_o__eq__dest__lhs,axiom,
% 183.93/184.04 ! [V_v_2,V_ca_2,V_ba_2,V_a_2,T_b,T_c,T_d] :
% 183.93/184.04 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_ba_2) = V_ca_2
% 183.93/184.04 => hAPP(V_a_2,hAPP(V_ba_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_apfst__compose,axiom,
% 183.93/184.04 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_apsnd__compose,axiom,
% 183.93/184.04 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_comp__cong,axiom,
% 183.93/184.04 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 183.93/184.04 ( hAPP(V_f_2,hAPP(V_g_2,V_x_2)) = hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2))
% 183.93/184.04 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_o__def,axiom,
% 183.93/184.04 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_o__assoc,axiom,
% 183.93/184.04 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_o__apply,axiom,
% 183.93/184.04 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_o__eq__dest,axiom,
% 183.93/184.04 ! [V_v_2,V_d_2,V_ca_2,T_e,V_ba_2,V_a_2,T_b,T_c,T_d] :
% 183.93/184.04 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_ba_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_ca_2),V_d_2)
% 183.93/184.04 => hAPP(V_a_2,hAPP(V_ba_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_o__eq__elim,axiom,
% 183.93/184.04 ! [V_d_2,V_ca_2,T_e,V_ba_2,V_a_2,T_b,T_c,T_d] :
% 183.93/184.04 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_ba_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_ca_2),V_d_2)
% 183.93/184.04 => ! [B_v] : hAPP(V_a_2,hAPP(V_ba_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_fun__upd__comp,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_d),V_g_2),V_x_2),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_comp__surj,axiom,
% 183.93/184.04 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 183.93/184.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 183.93/184.04 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Image__mono,axiom,
% 183.93/184.04 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Un__Image,axiom,
% 183.93/184.04 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Image__iff,axiom,
% 183.93/184.04 ! [V_A_2,V_r_2,T_c,V_ba_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 183.93/184.04 <=> ? [B_x] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 183.93/184.04 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_ba_2)),V_r_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_rev__ImageI,axiom,
% 183.93/184.04 ! [V_r_2,V_ba_2,T_c,V_A_2,V_a_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Image__eq__UN,axiom,
% 183.93/184.04 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Image__singleton__iff,axiom,
% 183.93/184.04 ! [V_a_2,V_r_2,T_c,V_ba_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 183.93/184.04 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_ba_2)),V_r_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_of__int,axiom,
% 183.93/184.04 ! [V_j_2,V_i_2,T_b] :
% 183.93/184.04 ( class_Rings_Oring__1(T_b)
% 183.93/184.04 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_One__int__def,axiom,
% 183.93/184.04 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_mult,axiom,
% 183.93/184.04 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_v_2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_u_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_UN__o,axiom,
% 183.93/184.04 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Rep__Integ__inverse,axiom,
% 183.93/184.04 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 183.93/184.04
% 183.93/184.04 fof(fact_split__comp,axiom,
% 183.93/184.04 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_number__of__code__numeral__def,axiom,
% 183.93/184.04 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint,c_Code__Numeral_Oof__nat),c_Int_Onat) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_int__of__def,axiom,
% 183.93/184.04 c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_minus,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_y_2),V_x_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Zero__int__def,axiom,
% 183.93/184.04 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_int__def,axiom,
% 183.93/184.04 ! [V_m_2] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_add,axiom,
% 183.93/184.04 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y_2),V_v_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_nat,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2] : hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_minus__int__def,axiom,
% 183.93/184.04 ! [V_z_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_2) = hAPP(c_Int_OAbs__Integ,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)))),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat))))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_less,axiom,
% 183.93/184.04 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 183.93/184.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_le,axiom,
% 183.93/184.04 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 183.93/184.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_hoare__derivs_OIf,axiom,
% 183.93/184.04 ! [V_d_2,V_Q_2,V_ca_2,V_ba_2,V_Pa_2,V_Ga_2,T_b] :
% 183.93/184.04 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_ba_2)),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 183.93/184.04 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_ba_2))),V_d_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 183.93/184.04 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OCond(V_ba_2,V_ca_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Loop,axiom,
% 183.93/184.04 ! [V_ca_2,V_ba_2,V_Pa_2,V_Ga_2,T_b] :
% 183.93/184.04 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_ba_2)),V_ca_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 183.93/184.04 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OWhile(V_ba_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_ba_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Nitpick_Odenom__def,axiom,
% 183.93/184.04 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_peek__and__def,axiom,
% 183.93/184.04 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2))
% 183.93/184.04 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2))
% 183.93/184.04 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Nitpick_Onum__def,axiom,
% 183.93/184.04 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Oremove,axiom,
% 183.93/184.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.04 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_eq__Abs__Integ,axiom,
% 183.93/184.04 ! [V_z_2] :
% 183.93/184.04 ~ ! [B_x,B_y] : V_z_2 != hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Oinsert__remove,axiom,
% 183.93/184.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 183.93/184.04 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 183.93/184.04 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Ocommute__comp,axiom,
% 183.93/184.04 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.93/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Ocommute__left__comp,axiom,
% 183.93/184.04 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.93/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 183.93/184.04 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 183.93/184.04 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Ocommute__comp_H,axiom,
% 183.93/184.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Oinsert,axiom,
% 183.93/184.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setsum__reindex__nonzero,axiom,
% 183.93/184.04 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 183.93/184.04 ( class_Groups_Ocomm__monoid__add(T_d)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 183.93/184.04 => ( ! [B_x] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 183.93/184.04 => ! [B_y] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 183.93/184.04 => ( B_x != B_y
% 183.93/184.04 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 183.93/184.04 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 183.93/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Random__Sequence_Omap__def,axiom,
% 183.93/184.04 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_quotient__def,axiom,
% 183.93/184.04 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_quotient__is__empty,axiom,
% 183.93/184.04 ! [V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 183.93/184.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_quotient__is__empty2,axiom,
% 183.93/184.04 ! [V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)
% 183.93/184.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_quotient__empty,axiom,
% 183.93/184.04 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_quotientI,axiom,
% 183.93/184.04 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_singleton__quotient,axiom,
% 183.93/184.04 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_subset__equiv__class,axiom,
% 183.93/184.04 ! [V_a_2,V_ba_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_quotientE,axiom,
% 183.93/184.04 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 183.93/184.04 => ~ ! [B_x] :
% 183.93/184.04 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_eq__equiv__class__iff2,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 183.93/184.04 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)
% 183.93/184.04 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_equiv__intrel,axiom,
% 183.93/184.04 c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Int_Ointrel) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_equiv__class__self,axiom,
% 183.93/184.04 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_equiv__class__eq,axiom,
% 183.93/184.04 ! [V_ba_2,V_a_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2))
% 183.93/184.04 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_quotient__eq__iff,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 183.93/184.04 => ( V_X_2 = V_Y_2
% 183.93/184.04 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_quotient__eqI,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 183.93/184.04 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_eq__equiv__class__iff,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 183.93/184.04 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.04 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_eq__equiv__class,axiom,
% 183.93/184.04 ! [V_A_2,V_ba_2,V_a_2,V_r_2,T_b] :
% 183.93/184.04 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.04 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_equiv__class__eq__iff,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 183.93/184.04 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 183.93/184.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 183.93/184.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_equiv__class__subset,axiom,
% 183.93/184.04 ! [V_ba_2,V_a_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_UN__equiv__class2,axiom,
% 183.93/184.04 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 183.93/184.04 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 183.93/184.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 183.93/184.04 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_UN__equiv__class,axiom,
% 183.93/184.04 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.04 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_equiv__class__nondisjoint,axiom,
% 183.93/184.04 ! [V_ba_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf1I,axiom,
% 183.93/184.04 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 183.93/184.04 ( hBOOL(hAPP(V_A_2,V_x_2))
% 183.93/184.04 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf1E,axiom,
% 183.93/184.04 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 183.93/184.04 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 183.93/184.04 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_IntE,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.04 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_IntI,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_finite__Int,axiom,
% 183.93/184.04 ! [V_Ga_2,V_F_2,T_b] :
% 183.93/184.04 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 183.93/184.04 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 183.93/184.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__eq__top__iff,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.04 ( class_Lattices_Obounded__lattice__top(T_b)
% 183.93/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 183.93/184.04 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 183.93/184.04 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__top__right,axiom,
% 183.93/184.04 ! [V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Obounded__lattice__top(T_a)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__top__left,axiom,
% 183.93/184.04 ! [V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Obounded__lattice__top(T_a)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__UNIV__right,axiom,
% 183.93/184.04 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__UNIV__left,axiom,
% 183.93/184.04 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 183.93/184.04
% 183.93/184.04 fof(fact_IntD2,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_IntD1,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__iff,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.04 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 183.93/184.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__Int__eq,axiom,
% 183.93/184.04 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 183.93/184.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_sup__inf__distrib2,axiom,
% 183.93/184.04 ! [V_x,V_z,V_y,T_a] :
% 183.93/184.04 ( class_Lattices_Odistrib__lattice(T_a)
% 183.93/184.04 => 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)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__sup__distrib2,axiom,
% 183.93/184.04 ! [V_x,V_z,V_y,T_a] :
% 183.93/184.04 ( class_Lattices_Odistrib__lattice(T_a)
% 183.93/184.04 => 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)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_sup__inf__distrib1,axiom,
% 183.93/184.04 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Odistrib__lattice(T_a)
% 183.93/184.04 => 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)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__sup__distrib1,axiom,
% 183.93/184.04 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Odistrib__lattice(T_a)
% 183.93/184.04 => 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)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_sup__inf__absorb,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => 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 ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__sup__absorb,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => 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 ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Un__Int__crazy,axiom,
% 183.93/184.04 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Un__Int__distrib2,axiom,
% 183.93/184.04 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__Un__distrib2,axiom,
% 183.93/184.04 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Un__Int__distrib,axiom,
% 183.93/184.04 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__Un__distrib,axiom,
% 183.93/184.04 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__empty__left,axiom,
% 183.93/184.04 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__empty__right,axiom,
% 183.93/184.04 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_disjoint__iff__not__equal,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 <=> ! [B_x] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 183.93/184.04 => ! [B_xa] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 183.93/184.04 => B_x != B_xa ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__bot__left,axiom,
% 183.93/184.04 ! [V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Obounded__lattice__bot(T_a)
% 183.93/184.04 => 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) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__bot__right,axiom,
% 183.93/184.04 ! [V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Obounded__lattice__bot(T_a)
% 183.93/184.04 => 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) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_insert__inter__insert,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_restrict__restrict,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_m_2,T_c,T_b] : c_Map_Orestrict__map(T_b,T_c,c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2),V_B_2) = c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2] :
% 183.93/184.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.93/184.04 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf1D1,axiom,
% 183.93/184.04 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 183.93/184.04 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf1D2,axiom,
% 183.93/184.04 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 183.93/184.04 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__absorb,axiom,
% 183.93/184.04 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__commute,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__left__absorb,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__left__commute,axiom,
% 183.93/184.04 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__assoc,axiom,
% 183.93/184.04 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf_Oidem,axiom,
% 183.93/184.04 ! [V_a,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__idem,axiom,
% 183.93/184.04 ! [V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf_Ocommute,axiom,
% 183.93/184.04 ! [V_b,V_a,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => 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) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__sup__aci_I1_J,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => 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) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__commute,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => 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) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf_Oleft__idem,axiom,
% 183.93/184.04 ! [V_b,V_a,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => 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) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__sup__aci_I4_J,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => 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) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__left__idem,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => 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) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf_Oleft__commute,axiom,
% 183.93/184.04 ! [V_c,V_a,V_b,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => 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)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__sup__aci_I3_J,axiom,
% 183.93/184.04 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => 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)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__left__commute,axiom,
% 183.93/184.04 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => 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)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf_Oassoc,axiom,
% 183.93/184.04 ! [V_c,V_b,V_a,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => 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)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__sup__aci_I2_J,axiom,
% 183.93/184.04 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => 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)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__assoc,axiom,
% 183.93/184.04 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => 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)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__apply,axiom,
% 183.93/184.04 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( class_Lattices_Olattice(T_b)
% 183.93/184.04 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__fun__def,axiom,
% 183.93/184.04 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( class_Lattices_Olattice(T_b)
% 183.93/184.04 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__min,axiom,
% 183.93/184.04 ! [T_b] :
% 183.93/184.04 ( ( class_Lattices_Osemilattice__inf(T_b)
% 183.93/184.04 & class_Orderings_Olinorder(T_b) )
% 183.93/184.04 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Inf__fin_Oidem,axiom,
% 183.93/184.04 ! [V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_less__infI2,axiom,
% 183.93/184.04 ! [V_a,V_x,V_b,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_less__infI1,axiom,
% 183.93/184.04 ! [V_b,V_x,V_a,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Diff__Int2,axiom,
% 183.93/184.04 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Diff__Int__distrib2,axiom,
% 183.93/184.04 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__Diff,axiom,
% 183.93/184.04 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Diff__Int__distrib,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_le__infE,axiom,
% 183.93/184.04 ! [V_b,V_a,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)))
% 183.93/184.04 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.93/184.04 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__mono,axiom,
% 183.93/184.04 ! [V_d,V_b,V_c,V_a,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_c),V_d))) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__greatest,axiom,
% 183.93/184.04 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_le__infI,axiom,
% 183.93/184.04 ! [V_b,V_a,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__absorb2,axiom,
% 183.93/184.04 ! [V_x,V_y,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__absorb1,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_le__infI2,axiom,
% 183.93/184.04 ! [V_a,V_x,V_b,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_le__infI1,axiom,
% 183.93/184.04 ! [V_b,V_x,V_a,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_le__inf__iff,axiom,
% 183.93/184.04 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_b)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2)))
% 183.93/184.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/184.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_le__iff__inf,axiom,
% 183.93/184.04 ! [V_y_2,V_x_2,T_b] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_b)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 183.93/184.04 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__le2,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__sup__ord_I2_J,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__le1,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Osemilattice__inf(T_a)
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__sup__ord_I1_J,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__lower1,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__lower2,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__absorb2,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__absorb1,axiom,
% 183.93/184.04 ! [V_A_2,V_B_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__greatest,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__mono,axiom,
% 183.93/184.04 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Pow__Int__eq,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__UN__distrib2,axiom,
% 183.93/184.04 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_UN__extend__simps_I4_J,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__UN__distrib,axiom,
% 183.93/184.04 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_UN__extend__simps_I5_J,axiom,
% 183.93/184.04 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_UN__simps_I4_J,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_UN__simps_I5_J,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_distrib__sup__le,axiom,
% 183.93/184.04 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_distrib__inf__le,axiom,
% 183.93/184.04 ! [V_z,V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Olattice(T_a)
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__compl__bot,axiom,
% 183.93/184.04 ! [V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_compl__inf__bot,axiom,
% 183.93/184.04 ! [V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_diff__eq,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/184.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_compl__inf,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/184.04 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_compl__sup,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/184.04 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__insert__left__if1,axiom,
% 183.93/184.04 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__insert__right__if1,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__insert__left__if0,axiom,
% 183.93/184.04 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 183.93/184.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__insert__right__if0,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 183.93/184.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__insert__left,axiom,
% 183.93/184.04 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 183.93/184.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 183.93/184.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__insert__right,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 183.93/184.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 183.93/184.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_image__Int__subset,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Diff__disjoint,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Diff__triv,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Un__Int__assoc__eq,axiom,
% 183.93/184.04 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 183.93/184.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Diff__Int,axiom,
% 183.93/184.04 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Diff__Un,axiom,
% 183.93/184.04 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Un__Diff__Int,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I11_J,axiom,
% 183.93/184.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Compl__disjoint,axiom,
% 183.93/184.04 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Compl__disjoint2,axiom,
% 183.93/184.04 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Image__Int__subset,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Compl__Int,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Compl__Un,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Diff__eq,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Diff__Compl,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I14_J,axiom,
% 183.93/184.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Image__Id__on,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2] :
% 183.93/184.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 183.93/184.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_congruent2__implies__congruent,axiom,
% 183.93/184.04 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 183.93/184.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.04 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_inf__Sup__absorb,axiom,
% 183.93/184.04 ! [V_a_2,V_A_2,T_b] :
% 183.93/184.04 ( class_Lattices_Olattice(T_b)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_disjoint__eq__subset__Compl,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I15_J,axiom,
% 183.93/184.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__atLeastAtMost,axiom,
% 183.93/184.04 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.04 ( class_Orderings_Olinorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__atLeastLessThan,axiom,
% 183.93/184.04 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.04 ( class_Orderings_Olinorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I4_J,axiom,
% 183.93/184.04 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I2_J,axiom,
% 183.93/184.04 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I16_J,axiom,
% 183.93/184.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I12_J,axiom,
% 183.93/184.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I13_J,axiom,
% 183.93/184.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__greaterThanAtMost,axiom,
% 183.93/184.04 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.04 ( class_Orderings_Olinorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_ba_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I9_J,axiom,
% 183.93/184.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__greaterThanLessThan,axiom,
% 183.93/184.04 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.04 ( class_Orderings_Olinorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_ba_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__atLeastAtMostL1,axiom,
% 183.93/184.04 ! [V_d_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.04 ( class_Orderings_Olinorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__atLeastAtMostR1,axiom,
% 183.93/184.04 ! [V_d_2,V_ca_2,V_ba_2,T_b] :
% 183.93/184.04 ( class_Orderings_Olinorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_ba_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I8_J,axiom,
% 183.93/184.04 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I7_J,axiom,
% 183.93/184.04 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__atLeastAtMostL2,axiom,
% 183.93/184.04 ! [V_ca_2,V_ba_2,V_a_2,T_b] :
% 183.93/184.04 ( class_Orderings_Olinorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),V_ba_2) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_Int__atLeastAtMostR2,axiom,
% 183.93/184.04 ! [V_d_2,V_ca_2,V_a_2,T_b] :
% 183.93/184.04 ( class_Orderings_Olinorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),V_d_2) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I3_J,axiom,
% 183.93/184.04 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I10_J,axiom,
% 183.93/184.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I1_J,axiom,
% 183.93/184.04 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I6_J,axiom,
% 183.93/184.04 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_ivl__disj__int_I5_J,axiom,
% 183.93/184.04 ! [V_u_2,V_l_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.93/184.04 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_compl__unique,axiom,
% 183.93/184.04 ! [V_y,V_x,T_a] :
% 183.93/184.04 ( class_Lattices_Oboolean__algebra(T_a)
% 183.93/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 183.93/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 183.93/184.04 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setsum__Un__Int,axiom,
% 183.93/184.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.93/184.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setprod_Ounion__inter,axiom,
% 183.93/184.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.93/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setprod__Un__Int,axiom,
% 183.93/184.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.93/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_card__Un__Int,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_card_Ounion__inter,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_card__Diff__subset__Int,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 183.93/184.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setsum__restrict__set,axiom,
% 183.93/184.04 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 183.93/184.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding_Ounion__inter,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_quotient__disj,axiom,
% 183.93/184.04 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 183.93/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 183.93/184.04 => ( V_X_2 = V_Y_2
% 183.93/184.04 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_atMost__Int__atLeast,axiom,
% 183.93/184.04 ! [V_n_2,T_b] :
% 183.93/184.04 ( class_Orderings_Oorder(T_b)
% 183.93/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding__one_Ounion__inter,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding__one_Ounion__disjoint,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 183.93/184.04 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 183.93/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 183.93/184.04 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_congruent__def,axiom,
% 183.93/184.04 ! [V_f_2,V_r_2,T_c,T_b] :
% 183.93/184.04 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 183.93/184.04 <=> ! [B_x] :
% 183.93/184.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 183.93/184.04 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setsum__Un__disjoint,axiom,
% 183.93/184.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.93/184.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setsum__Un,axiom,
% 183.93/184.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 183.93/184.04 ( class_Groups_Oab__group__add(T_c)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setprod__Un__disjoint,axiom,
% 183.93/184.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.93/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_setprod_Ounion__disjoint,axiom,
% 183.93/184.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 183.93/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 183.93/184.04
% 183.93/184.04 fof(fact_card__Un__disjoint,axiom,
% 183.93/184.04 ! [V_B_2,V_A_2,T_b] :
% 183.93/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 183.93/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 183.93/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 183.93/184.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Sup__fin_Ounion__inter,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Min_Ounion__disjoint,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Orderings_Olinorder(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Min_Ounion__inter,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Orderings_Olinorder(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Max_Ounion__inter,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Orderings_Olinorder(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Max_Ounion__disjoint,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Orderings_Olinorder(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Orderings_Olinorder(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Orderings_Olinorder(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Orderings_Olinorder(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Orderings_Olinorder(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_congruent2D,axiom,
% 184.24/184.04 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2))
% 184.24/184.04 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setsum__Un__nat,axiom,
% 184.24/184.04 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding_Ounion,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_congruentD,axiom,
% 184.24/184.04 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2))
% 184.24/184.04 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_congruent2__implies__congruent__UN,axiom,
% 184.24/184.04 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 184.24/184.04 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 184.24/184.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 184.24/184.04 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_UN__equiv__class__inject,axiom,
% 184.24/184.04 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 184.24/184.04 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 184.24/184.04 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.04 => ! [B_y] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 184.24/184.04 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) )
% 184.24/184.04 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_UN__equiv__class__type2,axiom,
% 184.24/184.04 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 184.24/184.04 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 184.24/184.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2)))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2)))
% 184.24/184.04 => ( ! [B_x1] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 184.24/184.04 => ! [B_x2] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_UN__equiv__class__type,axiom,
% 184.24/184.04 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 184.24/184.04 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inf__nat__def,axiom,
% 184.24/184.04 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inf__Int__eq2,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 184.24/184.04 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_card_Ounion__inter__neutral,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 184.24/184.04 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 184.24/184.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setprod__Un,axiom,
% 184.24/184.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Fields_Ofield(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 184.24/184.04 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Integ__def,axiom,
% 184.24/184.04 c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inf2I,axiom,
% 184.24/184.04 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inf2E,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 184.24/184.04 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 184.24/184.04 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inf2D1,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inf2D2,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Rep__Integ,axiom,
% 184.24/184.04 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_x_2)),c_Int_OInteg)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_type__definition__Integ,axiom,
% 184.24/184.04 c_Typedef_Otype__definition(tc_Int_Oint,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Int_ORep__Integ,c_Int_OAbs__Integ,c_Int_OInteg) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 184.24/184.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 184.24/184.04 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setprod__Un__one,axiom,
% 184.24/184.04 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 184.24/184.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 184.24/184.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 184.24/184.04 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setsum__Un__zero,axiom,
% 184.24/184.04 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 184.24/184.04 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_refl__on__def_H,axiom,
% 184.24/184.04 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.04 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 184.24/184.04 <=> ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) )
% 184.24/184.04 & ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Oremove,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 184.24/184.04 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_refl__on__Id__on,axiom,
% 184.24/184.04 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Osingleton,axiom,
% 184.24/184.04 ! [V_x_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_refl__on__empty,axiom,
% 184.24/184.04 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_refl__on__Un,axiom,
% 184.24/184.04 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 184.24/184.04 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 184.24/184.04 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 184.24/184.04 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_refl__on__Int,axiom,
% 184.24/184.04 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 184.24/184.04 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 184.24/184.04 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 184.24/184.04 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_sup__Inf__absorb,axiom,
% 184.24/184.04 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Oin__idem,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_refl__onD,axiom,
% 184.24/184.04 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 184.24/184.04 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_refl__onD1,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 184.24/184.04 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_refl__onD2,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 184.24/184.04 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Osubset__idem,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 184.24/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Ounion__idem,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__le__Sup,axiom,
% 184.24/184.04 ! [V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Oinsert,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 184.24/184.04 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Ounion__inter,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Oclosed,axiom,
% 184.24/184.04 ! [V_A_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_equiv__imp__dvd__card,axiom,
% 184.24/184.04 ! [V_k_2,V_r_2,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),B_x))) )
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding__idem_Ounion__idem,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 184.24/184.04 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 184.24/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding__idem_Oidem__comp,axiom,
% 184.24/184.04 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 184.24/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding__idem_Oinsert__idem,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 184.24/184.04 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_equivp__equiv,axiom,
% 184.24/184.04 ! [V_A_2,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 184.24/184.04 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_card__quotient__disjoint,axiom,
% 184.24/184.04 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 184.24/184.04 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__Un__disjoint,axiom,
% 184.24/184.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__empty,axiom,
% 184.24/184.04 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__uminus,axiom,
% 184.24/184.04 ! [V_A_2,T_b] :
% 184.24/184.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 184.24/184.04 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__strict__subset,axiom,
% 184.24/184.04 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__contraD,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( V_x_2 != V_y_2
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 184.24/184.04 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__iff,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 184.24/184.04 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 184.24/184.04 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__onD,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 184.24/184.04 => V_x_2 = V_y_2 ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.04 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 184.24/184.04 <=> V_A_2 = V_B_2 ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__comp,axiom,
% 184.24/184.04 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 184.24/184.04 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__imageI,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2)
% 184.24/184.04 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_comp__inj__on,axiom,
% 184.24/184.04 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 184.24/184.04 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_comp__inj__on__iff,axiom,
% 184.24/184.04 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 184.24/184.04 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_card__image,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__image__reindex,axiom,
% 184.24/184.04 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 184.24/184.04 ( class_Groups_Oab__semigroup__mult(T_d)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 184.24/184.04 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__image__empty,axiom,
% 184.24/184.04 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__id2,axiom,
% 184.24/184.04 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__def,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 <=> ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.04 => ! [B_xa] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 184.24/184.04 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 184.24/184.04 => B_x = B_xa ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__diff,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_subset__inj__on,axiom,
% 184.24/184.04 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.04 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_finite__imageD,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 184.24/184.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__imageI2,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2)
% 184.24/184.04 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_identity__equivp,axiom,
% 184.24/184.04 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_equivp__def,axiom,
% 184.24/184.04 ! [V_R_2,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 184.24/184.04 <=> ! [B_x,B_y] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 184.24/184.04 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_equivp__reflp,axiom,
% 184.24/184.04 ! [V_x_2,V_R_2,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 184.24/184.04 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_equivp__symp,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_equivp__transp,axiom,
% 184.24/184.04 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 184.24/184.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__image__eq__iff,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 184.24/184.04 <=> V_A_2 = V_B_2 ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_injD,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 184.24/184.04 => V_x_2 = V_y_2 ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__eq,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 184.24/184.04 <=> V_x_2 = V_y_2 ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__fun,axiom,
% 184.24/184.04 ! [T_d,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__Int,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 184.24/184.04 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__image__mem__iff,axiom,
% 184.24/184.04 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 184.24/184.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_range__ex1__eq,axiom,
% 184.24/184.04 ! [V_ba_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 184.24/184.04 <=> ? [B_x] :
% 184.24/184.04 ( V_ba_2 = hAPP(V_f_2,B_x)
% 184.24/184.04 & ! [B_y] :
% 184.24/184.04 ( V_ba_2 = hAPP(V_f_2,B_y)
% 184.24/184.04 => B_y = B_x ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 184.24/184.04 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.04 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__iff__surj,axiom,
% 184.24/184.04 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 184.24/184.04 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( ? [B_f] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 184.24/184.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) )
% 184.24/184.04 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_endo__inj__surj,axiom,
% 184.24/184.04 ! [V_f_2,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 184.24/184.04 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_finite__surj__inj,axiom,
% 184.24/184.04 ! [V_f_2,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)))
% 184.24/184.04 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_finite__UNIV__surj__inj,axiom,
% 184.24/184.04 ! [V_f_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 184.24/184.04 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_finite__UNIV__inj__surj,axiom,
% 184.24/184.04 ! [V_f_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__image__subset__iff,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)))
% 184.24/184.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__image__Int,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 184.24/184.04 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_image__Int,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__iff__eq__card,axiom,
% 184.24/184.04 ! [V_f_2,T_c,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_eq__card__imp__inj__on,axiom,
% 184.24/184.04 ! [V_f_2,T_c,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2)
% 184.24/184.04 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__image__set__diff,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 184.24/184.04 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_image__set__diff,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setsum__reindex,axiom,
% 184.24/184.04 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__add(T_d)
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_pigeonhole,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)))
% 184.24/184.04 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__fun__updI,axiom,
% 184.24/184.04 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 184.24/184.04 => c_Fun_Oinj__on(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2),V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setprod__reindex,axiom,
% 184.24/184.04 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_d)
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setprod__reindex__cong,axiom,
% 184.24/184.04 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_d)
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 184.24/184.04 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__singleton,axiom,
% 184.24/184.04 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setsum_Oreindex,axiom,
% 184.24/184.04 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_card__bij__eq,axiom,
% 184.24/184.04 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 184.24/184.04 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setprod_Oreindex,axiom,
% 184.24/184.04 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__image__distrib,axiom,
% 184.24/184.04 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__image__Compl__subset,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__image__insert,axiom,
% 184.24/184.04 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Oab__semigroup__mult(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.04 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setsum_OF__eq,axiom,
% 184.24/184.04 ! [V_g_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.04 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) )
% 184.24/184.04 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setsum_Oeq__fold,axiom,
% 184.24/184.04 ! [V_g_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setprod_Oeq__fold,axiom,
% 184.24/184.04 ! [V_g_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_setprod_OF__eq,axiom,
% 184.24/184.04 ! [V_g_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.04 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) )
% 184.24/184.04 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__insert,axiom,
% 184.24/184.04 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 184.24/184.04 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__Un,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.04 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 184.24/184.04 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_card__inj__on__le,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__iff__card__le,axiom,
% 184.24/184.04 ! [V_B_2,T_c,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 184.24/184.04 => ( ? [B_f] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 184.24/184.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) )
% 184.24/184.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_quotient__diff1,axiom,
% 184.24/184.04 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.04 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__image__Un__Int,axiom,
% 184.24/184.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_image__eq__fold__image,axiom,
% 184.24/184.04 ! [V_f_2,T_c,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_card_Oeq__fold__g,axiom,
% 184.24/184.04 ! [V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_card__def,axiom,
% 184.24/184.04 ! [V_A_2,T_b] :
% 184.24/184.04 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 184.24/184.04 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.04 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_comm__monoid__big_OF__eq,axiom,
% 184.24/184.04 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 184.24/184.04 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.04 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) )
% 184.24/184.04 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.04 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding__image_Oreindex,axiom,
% 184.24/184.04 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 184.24/184.04 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__image__Un__one,axiom,
% 184.24/184.04 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 184.24/184.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 184.24/184.04 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__Inr,axiom,
% 184.24/184.04 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(T_b,tc_sum(T_c,T_b),c_Sum__Type_OInr(T_b,T_c),V_A_2) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__Suc,axiom,
% 184.24/184.04 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__Some,axiom,
% 184.24/184.04 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,tc_Option_Ooption(T_b),c_Option_Ooption_OSome(T_b),V_A_2) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__Inl,axiom,
% 184.24/184.04 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(T_b,tc_sum(T_b,T_c),c_Sum__Type_OInl(T_b,T_c),V_A_2) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__add__nat,axiom,
% 184.24/184.04 ! [V_N_2,V_k_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2),V_N_2) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__of__nat,axiom,
% 184.24/184.04 ! [T_b] :
% 184.24/184.04 ( class_Nat_Osemiring__char__0(T_b)
% 184.24/184.04 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__int,axiom,
% 184.24/184.04 c_Fun_Oinj__on(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_swap__inj__on,axiom,
% 184.24/184.04 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding__image_Odistrib,axiom,
% 184.24/184.04 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.04 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_folding__image_Oeq__fold,axiom,
% 184.24/184.04 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.04 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 184.24/184.04 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 184.24/184.04 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.04 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_the__inv__into__comp,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 184.24/184.04 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_the__inv__into__into,axiom,
% 184.24/184.04 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__vimage__singleton,axiom,
% 184.24/184.04 ! [V_a_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimageI,axiom,
% 184.24/184.04 ! [T_c,V_B_2,T_b,V_ba_2,V_a_2,V_f_2] :
% 184.24/184.04 ( hAPP(V_f_2,V_a_2) = V_ba_2
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_B_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__Diff,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_image__vimage__subset,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_surj__image__vimage__eq,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_b,T_c] :
% 184.24/184.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__eq,axiom,
% 184.24/184.04 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 184.24/184.04 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimageD,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimageI2,axiom,
% 184.24/184.04 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__Un,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__empty,axiom,
% 184.24/184.04 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__Compl,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__code,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 184.24/184.04 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__ident,axiom,
% 184.24/184.04 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__mono,axiom,
% 184.24/184.04 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__UN,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__compose,axiom,
% 184.24/184.04 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__UNIV,axiom,
% 184.24/184.04 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__Int,axiom,
% 184.24/184.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__singleton__eq,axiom,
% 184.24/184.04 ! [V_ba_2,V_f_2,T_c,V_a_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 184.24/184.04 <=> hAPP(V_f_2,V_a_2) = V_ba_2 ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__insert,axiom,
% 184.24/184.04 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_finite__vimageD,axiom,
% 184.24/184.04 ! [V_F_2,V_h_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 184.24/184.04 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 184.24/184.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__subsetD,axiom,
% 184.24/184.04 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 184.24/184.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_image__vimage__eq,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_finite__vimageI,axiom,
% 184.24/184.04 ! [V_h_2,T_c,V_F_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 184.24/184.04 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 184.24/184.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__vimage__image__eq,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__const,axiom,
% 184.24/184.04 ! [T_c,V_A_2,V_ca_2,T_b] :
% 184.24/184.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 184.24/184.04 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 184.24/184.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 184.24/184.04 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__eq__UN,axiom,
% 184.24/184.04 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_the__inv__into__f__f,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_the__inv__into__f__eq,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_the__inv__f__f,axiom,
% 184.24/184.04 ! [V_x_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_inj__on__the__inv__into,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_the__inv__into__onto,axiom,
% 184.24/184.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__subsetI,axiom,
% 184.24/184.04 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_the__inv__into__def,axiom,
% 184.24/184.04 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_vimage__if,axiom,
% 184.24/184.04 ! [V_B_2,T_c,V_d_2,V_A_2,V_ca_2,T_b] :
% 184.24/184.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 184.24/184.04 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 184.24/184.04 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 184.24/184.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 184.24/184.04 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 184.24/184.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 184.24/184.04 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 184.24/184.04 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) )
% 184.24/184.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 184.24/184.04 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_f__the__inv__into__f,axiom,
% 184.24/184.04 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 184.24/184.04 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Inf__fin_Ohom__commute,axiom,
% 184.24/184.04 ! [V_N_2,V_h_2,T_b] :
% 184.24/184.04 ( class_Lattices_Olattice(T_b)
% 184.24/184.04 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 184.24/184.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_ImageE,axiom,
% 184.24/184.04 ! [V_A_2,V_r_2,T_c,V_ba_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 184.24/184.04 => ~ ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_ba_2)),V_r_2))
% 184.24/184.04 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_strong__setprod__reindex__cong,axiom,
% 184.24/184.04 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 184.24/184.04 ( class_Groups_Ocomm__monoid__mult(T_d)
% 184.24/184.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.04 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.04 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) )
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 184.24/184.04 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 184.24/184.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 184.24/184.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 184.24/184.04 => ( V_A_2 = V_B_2
% 184.24/184.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 184.24/184.04 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 184.24/184.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_dom__eq__singleton__conv,axiom,
% 184.24/184.04 ! [V_x_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Map_Odom(T_b,T_c,V_f_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.04 <=> ? [B_v] : V_f_2 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c))),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),B_v)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__graph__permute__diff,axiom,
% 184.24/184.04 ! [V_a_2,V_x_2,V_A_2,V_ba_2,T_b] :
% 184.24/184.04 ( class_Groups_Oab__semigroup__mult(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_ba_2,V_A_2),V_x_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2))
% 184.24/184.04 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__graph__imp__finite,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 184.24/184.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_finite__dom__body,axiom,
% 184.24/184.04 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 184.24/184.04 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__graph_OemptyI,axiom,
% 184.24/184.04 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_empty__fold__graphE,axiom,
% 184.24/184.04 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2))
% 184.24/184.04 => V_x_2 = V_z_2 ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_domIff,axiom,
% 184.24/184.04 ! [V_m_2,T_c,V_a_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Map_Odom(T_b,T_c,V_m_2)))
% 184.24/184.04 <=> hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_c) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_domI,axiom,
% 184.24/184.04 ! [T_c,V_ba_2,T_b,V_a_2,V_m_2] :
% 184.24/184.04 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_b),V_ba_2)
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Map_Odom(T_c,T_b,V_m_2))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_insert__dom,axiom,
% 184.24/184.04 ! [T_c,V_y_2,T_b,V_x_2,V_f_2] :
% 184.24/184.04 ( hAPP(V_f_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2)
% 184.24/184.04 => hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Map_Odom(T_c,T_b,V_f_2)) = c_Map_Odom(T_c,T_b,V_f_2) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_dom__restrict,axiom,
% 184.24/184.04 ! [V_A_2,V_m_2,T_c,T_b] : c_Map_Odom(T_b,T_c,c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_m_2)),V_A_2) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__graph_OinsertI,axiom,
% 184.24/184.04 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 184.24/184.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 184.24/184.04 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_dom__empty,axiom,
% 184.24/184.04 ! [T_c,T_b] : c_Map_Odom(T_b,T_c,hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_dom__eq__empty__conv,axiom,
% 184.24/184.04 ! [V_f_2,T_c,T_b] :
% 184.24/184.04 ( c_Map_Odom(T_b,T_c,V_f_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 <=> V_f_2 = hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_dom__const,axiom,
% 184.24/184.04 ! [V_f_2,T_c,T_b] : c_Map_Odom(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_Option_Ooption(T_c),T_b),c_Option_Ooption_OSome(T_c)),V_f_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_dom__minus,axiom,
% 184.24/184.04 ! [V_A_2,T_c,T_b,V_x_2,V_f_2] :
% 184.24/184.04 ( hAPP(V_f_2,V_x_2) = c_Option_Ooption_ONone(T_b)
% 184.24/184.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Map_Odom(T_c,T_b,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Map_Odom(T_c,T_b,V_f_2)),V_A_2) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold__graph__insert__swap,axiom,
% 184.24/184.04 ! [V_z_2,V_y_2,V_A_2,V_ba_2,T_b] :
% 184.24/184.04 ( class_Groups_Oab__semigroup__mult(T_b)
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_ba_2,V_A_2),V_y_2))
% 184.24/184.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2))
% 184.24/184.04 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_Diff1__fold__graph,axiom,
% 184.24/184.04 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.04 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_dom__fun__upd,axiom,
% 184.24/184.04 ! [V_x_2,V_f_2,T_c,T_b,V_y_2] :
% 184.24/184.04 ( ( V_y_2 = c_Option_Ooption_ONone(T_b)
% 184.24/184.04 => c_Map_Odom(T_c,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Map_Odom(T_c,T_b,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) )
% 184.24/184.04 & ( V_y_2 != c_Option_Ooption_ONone(T_b)
% 184.24/184.04 => c_Map_Odom(T_c,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Map_Odom(T_c,T_b,V_f_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold1Set_Ointros,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 184.24/184.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.04 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_ran__restrictD,axiom,
% 184.24/184.04 ! [V_A_2,V_m_2,T_c,V_y_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),c_Map_Oran(T_c,T_b,c_Map_Orestrict__map(T_c,T_b,V_m_2,V_A_2))))
% 184.24/184.04 => ? [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 184.24/184.04 & hAPP(V_m_2,B_x) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_accp__acc__eq,axiom,
% 184.24/184.04 ! [V_x_2,V_r_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2))
% 184.24/184.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_empty__fold1SetE,axiom,
% 184.24/184.04 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold1Set__nonempty,axiom,
% 184.24/184.04 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 184.24/184.04 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_acc__subset,axiom,
% 184.24/184.04 ! [V_R2_2,V_R1_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_fold1Set__sing,axiom,
% 184.24/184.04 ! [V_ba_2,V_a_2,V_f_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_ba_2))
% 184.24/184.04 <=> V_a_2 = V_ba_2 ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_acc__downward,axiom,
% 184.24/184.04 ! [V_a_2,V_r_2,V_ba_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 184.24/184.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_acc_Osimps,axiom,
% 184.24/184.04 ! [V_r_2,V_a_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 184.24/184.04 <=> ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2))
% 184.24/184.04 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_max__extp_Oequations,axiom,
% 184.24/184.04 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 184.24/184.04 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 184.24/184.04 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 184.24/184.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 184.24/184.04 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 & ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 184.24/184.04 => ? [B_xa] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 184.24/184.04 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 184.24/184.04
% 184.24/184.04 fof(fact_max__ext_Ointros,axiom,
% 184.24/184.04 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 184.24/184.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 184.24/184.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 184.24/184.04 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.04 => ( ! [B_x] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 184.24/184.04 => ? [B_xa] :
% 184.24/184.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) )
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_conseq2,axiom,
% 184.24/184.05 ! [V_Q_2,V_Q_H_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] :
% 184.24/184.05 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 184.24/184.05 => ( ! [B_Z,B_s] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 184.24/184.05 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) )
% 184.24/184.05 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_conseq1,axiom,
% 184.24/184.05 ! [V_Pa_2,V_Q_2,V_ca_2,V_P_H_2,V_Ga_2,T_b] :
% 184.24/184.05 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 184.24/184.05 => ( ! [B_Z,B_s] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 184.24/184.05 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 184.24/184.05 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1Set_Oequations,axiom,
% 184.24/184.05 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2))
% 184.24/184.05 <=> ? [B_a,B_A] :
% 184.24/184.05 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 184.24/184.05 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 184.24/184.05 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_insert__fold1SetE,axiom,
% 184.24/184.05 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2))
% 184.24/184.05 => ~ ! [B_a,B_A] :
% 184.24/184.05 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_image__split__eq__Sigma,axiom,
% 184.24/184.05 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__Un,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Groups_Oab__semigroup__mult(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__antimono,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_SigmaI,axiom,
% 184.24/184.05 ! [V_B_2,V_ba_2,T_c,V_A_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sigma__Diff__distrib1,axiom,
% 184.24/184.05 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Times__Diff__distrib1,axiom,
% 184.24/184.05 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sigma__Diff__distrib2,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Times__eq__cancel2,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 184.24/184.05 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))
% 184.24/184.05 <=> V_A_2 = V_B_2 ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sigma__empty1,axiom,
% 184.24/184.05 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_card__cartesian__product,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__cartesian__product,axiom,
% 184.24/184.05 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Times__empty,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 184.24/184.05 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))
% 184.24/184.05 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sigma__empty2,axiom,
% 184.24/184.05 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Compl__Times__UNIV2,axiom,
% 184.24/184.05 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Compl__Times__UNIV1,axiom,
% 184.24/184.05 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setprod__cartesian__product,axiom,
% 184.24/184.05 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__mult(T_b)
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sigma__Un__distrib1,axiom,
% 184.24/184.05 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Times__Un__distrib1,axiom,
% 184.24/184.05 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sigma__Un__distrib2,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_swap__product,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__singleton__def,axiom,
% 184.24/184.05 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 184.24/184.05 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 184.24/184.05 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__singleton,axiom,
% 184.24/184.05 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__cartesian__product,axiom,
% 184.24/184.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_equiv__type,axiom,
% 184.24/184.05 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sigma__Int__distrib2,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Times__Int__distrib1,axiom,
% 184.24/184.05 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sigma__Int__distrib1,axiom,
% 184.24/184.05 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Id__on__subset__Times,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_UNIV__Times__UNIV,axiom,
% 184.24/184.05 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_SigmaE2,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 184.24/184.05 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_SigmaD2,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_SigmaD1,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_mem__Sigma__iff,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 184.24/184.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_folding__one_Oeq__fold,axiom,
% 184.24/184.05 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_card__cartesian__product__singleton,axiom,
% 184.24/184.05 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Times__subset__cancel2,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))))
% 184.24/184.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Image__subset,axiom,
% 184.24/184.05 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__cartesian__productD1,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 184.24/184.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__cartesian__productD2,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fst__image__times,axiom,
% 184.24/184.05 ! [V_A_2,T_c,T_b,V_B_2] :
% 184.24/184.05 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 184.24/184.05 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_snd__image__times,axiom,
% 184.24/184.05 ! [V_B_2,T_c,T_b,V_A_2] :
% 184.24/184.05 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 184.24/184.05 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__def,axiom,
% 184.24/184.05 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sup__fin_OF__eq,axiom,
% 184.24/184.05 ! [V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Olattice(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Inf__fin_OF__eq,axiom,
% 184.24/184.05 ! [V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Olattice(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Min_OF__eq,axiom,
% 184.24/184.05 ! [V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Max_OF__eq,axiom,
% 184.24/184.05 ! [V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 184.24/184.05 ! [V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 184.24/184.05 ! [V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_refl__on__def,axiom,
% 184.24/184.05 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 184.24/184.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 184.24/184.05 & ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_insert__times__insert,axiom,
% 184.24/184.05 ! [V_B_2,V_ba_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_ba_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_ba_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__equiv__class,axiom,
% 184.24/184.05 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_UN__Times__distrib,axiom,
% 184.24/184.05 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sigma__def,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__belowI,axiom,
% 184.24/184.05 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Osemilattice__inf(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__quotient,axiom,
% 184.24/184.05 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_below__fold1__iff,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Osemilattice__inf(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)))
% 184.24/184.05 <=> ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_Ofold1__belowI,axiom,
% 184.24/184.05 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__insert__idem,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__below__iff,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 184.24/184.05 <=> ? [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 184.24/184.05 <=> ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__Un2,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_strict__below__fold1__iff,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 184.24/184.05 <=> ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__strict__below__iff,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 184.24/184.05 <=> ? [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_vimage__Times,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__insert,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Groups_Oab__semigroup__mult(T_b)
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.05 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_semilattice__big_OF__eq,axiom,
% 184.24/184.05 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 184.24/184.05 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 184.24/184.05 ! [V_A_2,V_I_2,T_c,T_b] :
% 184.24/184.05 ? [B_f] :
% 184.24/184.05 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_refl__onI,axiom,
% 184.24/184.05 ! [V_A_2,V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) )
% 184.24/184.05 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setprod__Sigma,axiom,
% 184.24/184.05 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__mult(T_d)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__Sigma,axiom,
% 184.24/184.05 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold__image__Sigma,axiom,
% 184.24/184.05 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__mult(T_d)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 184.24/184.05 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_card__SigmaI,axiom,
% 184.24/184.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 184.24/184.05 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold1__in,axiom,
% 184.24/184.05 ! [V_A_2,T_b] :
% 184.24/184.05 ( class_Groups_Oab__semigroup__mult(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__SigmaI,axiom,
% 184.24/184.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ! [B_a] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_hom__fold1__commute,axiom,
% 184.24/184.05 ! [V_N_2,V_h_2,T_b] :
% 184.24/184.05 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 184.24/184.05 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 184.24/184.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_SigmaE,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_ca_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_ca_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 184.24/184.05 => ~ ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => ! [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 184.24/184.05 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair__surj,axiom,
% 184.24/184.05 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 184.24/184.05 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 184.24/184.05 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair__inj__on,axiom,
% 184.24/184.05 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.05 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 184.24/184.05 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair__imageI,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_R_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_ba_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fst__comp__map__pair,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_snd__comp__map__pair,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair_Ocompositionality,axiom,
% 184.24/184.05 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair__compose,axiom,
% 184.24/184.05 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair_Ocomp,axiom,
% 184.24/184.05 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_snd__prod__fun,axiom,
% 184.24/184.05 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair__ident,axiom,
% 184.24/184.05 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fst__map__pair,axiom,
% 184.24/184.05 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair__simp,axiom,
% 184.24/184.05 ! [V_ba_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_ba_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_ba_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair__def,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair__surj__on,axiom,
% 184.24/184.05 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 184.24/184.05 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 184.24/184.05 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 184.24/184.05 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_prod__fun__imageE,axiom,
% 184.24/184.05 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_ca_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_ca_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2)))
% 184.24/184.05 => ~ ! [B_x,B_y] :
% 184.24/184.05 ( V_ca_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setprod__pos__nat,axiom,
% 184.24/184.05 ! [V_f_2,V_S_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) )
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 184.24/184.05 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 184.24/184.05 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(V_f_2,B_x),B_y)) = hAPP(hAPP(V_f_2,hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 184.24/184.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Rep__Integ__induct,axiom,
% 184.24/184.05 ! [V_Pa_2,V_y_2] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 184.24/184.05 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 184.24/184.05 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Rep__Integ__cases,axiom,
% 184.24/184.05 ! [V_y_2] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 184.24/184.05 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 184.24/184.05 => hAPP(V_g_2,B_x) = V_z_2 )
% 184.24/184.05 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fun__left__comm__idem__remove,axiom,
% 184.24/184.05 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_card__less__Suc,axiom,
% 184.24/184.05 ! [V_i_2,V_M_2] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 184.24/184.05 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_CollectI,axiom,
% 184.24/184.05 ! [T_b,V_a_2,V_Pa_2] :
% 184.24/184.05 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__Collect__conjI,axiom,
% 184.24/184.05 ! [V_Q_2,V_Pa_2,T_b] :
% 184.24/184.05 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 184.24/184.05 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Q_2)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__Collect__less__nat,axiom,
% 184.24/184.05 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_k_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__Collect__le__nat,axiom,
% 184.24/184.05 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_k_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 184.24/184.05 ! [V_x_2,V_f_2,T_c,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 184.24/184.05 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Collect__split,axiom,
% 184.24/184.05 ! [V_Q_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_SetCompr__Sigma__eq,axiom,
% 184.24/184.05 ! [V_Q_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_vimage__Collect__eq,axiom,
% 184.24/184.05 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Collect__neg__eq,axiom,
% 184.24/184.05 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__Collect__disjI,axiom,
% 184.24/184.05 ! [V_Q_2,V_Pa_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Q_2))))
% 184.24/184.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 184.24/184.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 184.24/184.05 ! [T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 184.24/184.05 ! [T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Collect__mem__eq,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_mem__Collect__eq,axiom,
% 184.24/184.05 ! [V_Pa_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 184.24/184.05 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_CollectD,axiom,
% 184.24/184.05 ! [V_Pa_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 184.24/184.05 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_CollectE,axiom,
% 184.24/184.05 ! [V_Pa_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 184.24/184.05 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fun__left__comm__idem,axiom,
% 184.24/184.05 ! [T_b] :
% 184.24/184.05 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 184.24/184.05 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fun__left__comm__idem__sup,axiom,
% 184.24/184.05 ! [T_b] :
% 184.24/184.05 ( class_Lattices_Osemilattice__sup(T_b)
% 184.24/184.05 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Collect__disj__eq,axiom,
% 184.24/184.05 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_empty__Collect__eq,axiom,
% 184.24/184.05 ! [V_Pa_2,T_b] :
% 184.24/184.05 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 184.24/184.05 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Collect__empty__eq,axiom,
% 184.24/184.05 ! [V_Pa_2,T_b] :
% 184.24/184.05 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_empty__def,axiom,
% 184.24/184.05 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_insert__Collect,axiom,
% 184.24/184.05 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Collect__def,axiom,
% 184.24/184.05 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 184.24/184.05 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 184.24/184.05 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 184.24/184.05 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 184.24/184.05 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) = hAPP(hAPP(V_f_2,V_x_2),V_z_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fun__left__comm__idem__insert,axiom,
% 184.24/184.05 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_UNIV__def,axiom,
% 184.24/184.05 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fun__left__comm__idem__inf,axiom,
% 184.24/184.05 ! [T_b] :
% 184.24/184.05 ( class_Lattices_Osemilattice__inf(T_b)
% 184.24/184.05 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Collect__conj__eq,axiom,
% 184.24/184.05 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_insert__compr,axiom,
% 184.24/184.05 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_insert__compr__raw,axiom,
% 184.24/184.05 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Un__def,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Int__Collect,axiom,
% 184.24/184.05 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))))
% 184.24/184.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.05 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Int__def,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_singleton__conv2,axiom,
% 184.24/184.05 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_singleton__conv,axiom,
% 184.24/184.05 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Collect__conv__if2,axiom,
% 184.24/184.05 ! [T_b,V_a_2,V_Pa_2] :
% 184.24/184.05 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 184.24/184.05 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 184.24/184.05 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 184.24/184.05 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Collect__conv__if,axiom,
% 184.24/184.05 ! [T_b,V_a_2,V_Pa_2] :
% 184.24/184.05 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 184.24/184.05 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 184.24/184.05 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 184.24/184.05 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_set__diff__eq,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__Collect__not,axiom,
% 184.24/184.05 ! [V_Pa_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))))
% 184.24/184.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_insert__def,axiom,
% 184.24/184.05 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Compl__eq,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_vimage__def,axiom,
% 184.24/184.05 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Collect__imp__eq,axiom,
% 184.24/184.05 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_dom__def,axiom,
% 184.24/184.05 ! [V_m_2,T_c,T_b] : c_Map_Odom(T_b,T_c,V_m_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_Option_Ooption(T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_c),tc_fun(tc_Option_Ooption(T_c),tc_HOL_Obool),T_b),c_fequal),V_m_2)),c_Option_Ooption_ONone(T_c)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__M__bounded__by__nat,axiom,
% 184.24/184.05 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__setsum__restrict,axiom,
% 184.24/184.05 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_if__image__distrib,axiom,
% 184.24/184.05 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_dom__if,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,V_Pa_2,T_c,T_b] : c_Map_Odom(T_b,T_c,hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_c),tc_Option_Ooption(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_c),tc_fun(tc_Option_Ooption(T_c),tc_Option_Ooption(T_c))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_c),tc_fun(tc_Option_Ooption(T_c),tc_Option_Ooption(T_c))),T_b),c_If(tc_Option_Ooption(T_c))),V_Pa_2)),V_f_2)),V_g_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_f_2)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_g_2)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_nat__seg__image__imp__finite,axiom,
% 184.24/184.05 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 184.24/184.05 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2)))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__restrict__set_H,axiom,
% 184.24/184.05 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__image__gen,axiom,
% 184.24/184.05 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Image__singleton,axiom,
% 184.24/184.05 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__cases,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_card__less__Suc2,axiom,
% 184.24/184.05 ! [V_i_2,V_M_2] :
% 184.24/184.05 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 184.24/184.05 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2)))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_card__less,axiom,
% 184.24/184.05 ! [V_i_2,V_M_2] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 184.24/184.05 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_dom__override__on,axiom,
% 184.24/184.05 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : c_Map_Odom(T_b,T_c,c_Fun_Ooverride__on(T_b,tc_Option_Ooption(T_c),V_f_2,V_g_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_f_2)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_b,T_c,V_g_2)))))),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_b,T_c,V_g_2))))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__multicount,axiom,
% 184.24/184.05 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 184.24/184.05 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__Collect__subsets,axiom,
% 184.24/184.05 ! [V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Pow__def,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_override__on__apply__in,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.05 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_override__on__apply__notin,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 184.24/184.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.05 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_override__on__emptyset,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,T_c,T_b] : c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_f_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_inj__graph,axiom,
% 184.24/184.05 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 184.24/184.05 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_override__on__def,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 184.24/184.05 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.05 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) )
% 184.24/184.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.05 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__psubset__def,axiom,
% 184.24/184.05 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_inv__image__def,axiom,
% 184.24/184.05 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 184.24/184.05 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 184.24/184.05 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Nitpick_Oprod__def,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_int__ge__less__than__def,axiom,
% 184.24/184.05 ! [V_d_2] : c_Int_Oint__ge__less__than(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_int__ge__less__than2__def,axiom,
% 184.24/184.05 ! [V_d_2] : c_Int_Oint__ge__less__than2(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_reflp__def,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Predicate_Oreflp(T_b,V_r_2)
% 184.24/184.05 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_reflpE,axiom,
% 184.24/184.05 ! [V_x_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Predicate_Oreflp(T_b,V_r_2)
% 184.24/184.05 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__Collect__bounded__ex,axiom,
% 184.24/184.05 ! [V_Q_2,T_c,V_Pa_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2)))))
% 184.24/184.05 <=> ! [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(V_Pa_2,B_y))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__image__set,axiom,
% 184.24/184.05 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_ran__def,axiom,
% 184.24/184.05 ! [V_m_2,T_b,T_c] : c_Map_Oran(T_c,T_b,V_m_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_Option_Ooption(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_c),c_fequal),V_m_2))),c_Option_Ooption_OSome(T_b)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Pow__Compl,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_add__Max__commute,axiom,
% 184.24/184.05 ! [V_k_2,V_N_2,T_b] :
% 184.24/184.05 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 184.24/184.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_add__Min__commute,axiom,
% 184.24/184.05 ! [V_k_2,V_N_2,T_b] :
% 184.24/184.05 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 184.24/184.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_sup__Inf2__distrib,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Odistrib__lattice(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_sup__Inf1__distrib,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Odistrib__lattice(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_inf__Sup1__distrib,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Odistrib__lattice(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_inf__Sup2__distrib,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Odistrib__lattice(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 184.24/184.05 ( class_Rings_Osemiring__0(T_d)
% 184.24/184.05 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))
% 184.24/184.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__multicount__gen,axiom,
% 184.24/184.05 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 184.24/184.05 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_inj__on__id,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair_Oid,axiom,
% 184.24/184.05 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_map__pair_Oidentity,axiom,
% 184.24/184.05 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_id__apply,axiom,
% 184.24/184.05 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 184.24/184.05
% 184.24/184.05 fof(fact_id__def,axiom,
% 184.24/184.05 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_apsnd__id,axiom,
% 184.24/184.05 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_apfst__id,axiom,
% 184.24/184.05 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_of__int__eq__id,axiom,
% 184.24/184.05 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_vimage__id,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_o__id,axiom,
% 184.24/184.05 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_id__o,axiom,
% 184.24/184.05 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_o__eq__id__dest,axiom,
% 184.24/184.05 ! [V_v_2,V_ca_2,V_ba_2,V_a_2,T_b,T_c,T_d] :
% 184.24/184.05 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_ba_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_ca_2)
% 184.24/184.05 => hAPP(V_a_2,hAPP(V_ba_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_surj__id,axiom,
% 184.24/184.05 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_image__id,axiom,
% 184.24/184.05 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_folding_Oempty,axiom,
% 184.24/184.05 ! [V_F_2,V_f_2,T_c,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 184.24/184.05 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_apsnd__def,axiom,
% 184.24/184.05 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_apfst__def,axiom,
% 184.24/184.05 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_split__Pair,axiom,
% 184.24/184.05 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__reindex__id,axiom,
% 184.24/184.05 ! [V_B_2,V_f_2,T_b,T_c] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setprod__reindex__id,axiom,
% 184.24/184.05 ! [V_B_2,V_f_2,T_b,T_c] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__conv__nat__seg__image,axiom,
% 184.24/184.05 ! [V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__comp__def,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__compI,axiom,
% 184.24/184.05 ! [V_s_2,V_ca_2,T_d,V_r_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_ba_2),V_ca_2)),V_s_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__comp__UNION__distrib,axiom,
% 184.24/184.05 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__comp__UNION__distrib2,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__comp__empty1,axiom,
% 184.24/184.05 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__comp__empty2,axiom,
% 184.24/184.05 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__comp__distrib2,axiom,
% 184.24/184.05 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__comp__distrib,axiom,
% 184.24/184.05 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__comp__mono,axiom,
% 184.24/184.05 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_O__assoc,axiom,
% 184.24/184.05 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_union__comp__emptyR,axiom,
% 184.24/184.05 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 184.24/184.05 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 184.24/184.05 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_union__comp__emptyL,axiom,
% 184.24/184.05 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 184.24/184.05 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 184.24/184.05 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 184.24/184.05 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__comp__subset__Sigma,axiom,
% 184.24/184.05 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2))))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_max__ext__compat,axiom,
% 184.24/184.05 ! [V_S_2,V_R_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__ext__compat,axiom,
% 184.24/184.05 ! [V_S_2,V_R_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_pred__comp__rel__comp__eq,axiom,
% 184.24/184.05 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 184.24/184.05 ( c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2),V_x_2,V_y_2)
% 184.24/184.05 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_reduction__pairI,axiom,
% 184.24/184.05 ! [V_S_2,V_R_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 184.24/184.05 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__less__than,axiom,
% 184.24/184.05 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_pred__comp_Ointros,axiom,
% 184.24/184.05 ! [T_d,T_c,T_b,V_ca_2,V_s_2,V_ba_2,V_a_2,V_r_2] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(V_s_2,V_ba_2),V_ca_2))
% 184.24/184.05 => c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2,V_a_2,V_ca_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__empty,axiom,
% 184.24/184.05 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__inv__image,axiom,
% 184.24/184.05 ! [V_f_2,T_c,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__lex__prod,axiom,
% 184.24/184.05 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 184.24/184.05 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 184.24/184.05 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__measure,axiom,
% 184.24/184.05 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__union__merge,axiom,
% 184.24/184.05 ! [V_S_2,V_R_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 184.24/184.05 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__no__loop,axiom,
% 184.24/184.05 ! [V_R_2,T_b] :
% 184.24/184.05 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 184.24/184.05 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__comp__self,axiom,
% 184.24/184.05 ! [V_R_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 184.24/184.05 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__less,axiom,
% 184.24/184.05 c_Wellfounded_Owf(tc_Nat_Onat,hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__int__ge__less__than,axiom,
% 184.24/184.05 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__irrefl,axiom,
% 184.24/184.05 ! [V_a_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__asym,axiom,
% 184.24/184.05 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__not__sym,axiom,
% 184.24/184.05 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__not__refl,axiom,
% 184.24/184.05 ! [V_a_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__Int1,axiom,
% 184.24/184.05 ! [V_r_H_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__Int2,axiom,
% 184.24/184.05 ! [V_r_H_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_max__ext__wf,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__pair__less,axiom,
% 184.24/184.05 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__subset,axiom,
% 184.24/184.05 ! [V_p_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2))
% 184.24/184.05 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_pred__comp_Oequations,axiom,
% 184.24/184.05 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 184.24/184.05 ( c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2,V_a1_2,V_a3_2)
% 184.24/184.05 <=> ? [B_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 184.24/184.05 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__finite__psubset,axiom,
% 184.24/184.05 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__ext__wf,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__mlex,axiom,
% 184.24/184.05 ! [V_f_2,V_R_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 184.24/184.05 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__acc__iff,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_acc__wfD,axiom,
% 184.24/184.05 ! [V_x_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__int__ge__less__than2,axiom,
% 184.24/184.05 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 <=> ~ ? [B_f] :
% 184.24/184.05 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wfE__pf,axiom,
% 184.24/184.05 ! [V_A_2,V_R_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2)))
% 184.24/184.05 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__union__compatible,axiom,
% 184.24/184.05 ! [V_S_2,V_R_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 184.24/184.05 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 184.24/184.05 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf,axiom,
% 184.24/184.05 ! [T_b] :
% 184.24/184.05 ( class_Orderings_Owellorder(T_b)
% 184.24/184.05 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_reduction__pair__def,axiom,
% 184.24/184.05 ! [V_Pa_2,T_b] :
% 184.24/184.05 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 184.24/184.05 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_reduction__pair__lemma,axiom,
% 184.24/184.05 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 184.24/184.05 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 184.24/184.05 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 184.24/184.05 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__map__pair__image,axiom,
% 184.24/184.05 ! [V_f_2,T_c,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.05 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__lenlex,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__if__measure,axiom,
% 184.24/184.05 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 184.24/184.05 ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(V_Pa_2,B_x))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,hAPP(V_g_2,B_x))),hAPP(V_f_2,B_x))) )
% 184.24/184.05 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_pred__nat__def,axiom,
% 184.24/184.05 c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_fequal)),c_Nat_OSuc))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__lex,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__pred__nat,axiom,
% 184.24/184.05 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_lex__def,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__lexn,axiom,
% 184.24/184.05 ! [V_n_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_lexn_Osimps_I1_J,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__same__fst,axiom,
% 184.24/184.05 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 184.24/184.05 ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(V_Pa_2,B_x))
% 184.24/184.05 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 184.24/184.05 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__Collect__split,axiom,
% 184.24/184.05 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_RangeI,axiom,
% 184.24/184.05 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__Id__on,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__empty__iff,axiom,
% 184.24/184.05 ! [V_r_2,T_b,T_c] :
% 184.24/184.05 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__empty,axiom,
% 184.24/184.05 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__Un__eq,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__Range,axiom,
% 184.24/184.05 ! [V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_snd__eq__Range,axiom,
% 184.24/184.05 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__iff,axiom,
% 184.24/184.05 ! [V_r_2,T_c,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 184.24/184.05 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__insert,axiom,
% 184.24/184.05 ! [V_r_2,V_ba_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_ba_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__Int__subset,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__Diff__subset,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_RangeP__Range__eq,axiom,
% 184.24/184.05 ! [V_x_2,V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 184.24/184.05 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_RangeE,axiom,
% 184.24/184.05 ! [V_r_2,T_c,V_ba_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 184.24/184.05 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_ba_2)),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_RangeP_Ointros,axiom,
% 184.24/184.05 ! [T_c,T_b,V_ba_2,V_a_2,V_r_2] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2))
% 184.24/184.05 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_ba_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_RangeP_Oequations,axiom,
% 184.24/184.05 ! [V_a2_2,V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 184.24/184.05 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__Un,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 184.24/184.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wfP__def,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 184.24/184.05 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wfP__empty,axiom,
% 184.24/184.05 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_DomainI,axiom,
% 184.24/184.05 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__Id__on,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wfP__accp__iff,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 184.24/184.05 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_accp__wfPD,axiom,
% 184.24/184.05 ! [V_x_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 184.24/184.05 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wfP__subset,axiom,
% 184.24/184.05 ! [V_p_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2))
% 184.24/184.05 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__empty__iff,axiom,
% 184.24/184.05 ! [V_r_2,T_c,T_b] :
% 184.24/184.05 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__empty,axiom,
% 184.24/184.05 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__mono,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__Un__eq,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__Domain,axiom,
% 184.24/184.05 ! [V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fst__eq__Domain,axiom,
% 184.24/184.05 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__iff,axiom,
% 184.24/184.05 ! [V_r_2,T_c,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 184.24/184.05 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__insert,axiom,
% 184.24/184.05 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__Int__subset,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__Diff__subset,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Field__def,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__in__rel,axiom,
% 184.24/184.05 ! [V_R_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 184.24/184.05 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wfP__wf__eq,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2))
% 184.24/184.05 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__Collect__split,axiom,
% 184.24/184.05 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_DomainP__Domain__eq,axiom,
% 184.24/184.05 ! [V_x_2,V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 184.24/184.05 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_DomainE,axiom,
% 184.24/184.05 ! [V_r_2,T_c,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 184.24/184.05 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_DomainP_Ointros,axiom,
% 184.24/184.05 ! [T_c,T_b,V_ba_2,V_a_2,V_r_2] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2))
% 184.24/184.05 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_DomainP_Oequations,axiom,
% 184.24/184.05 ! [V_a1_2,V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 184.24/184.05 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wfP__acyclicP,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_neg__map__def,axiom,
% 184.24/184.05 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__acyclic,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_acyclic__subset,axiom,
% 184.24/184.05 ! [V_r_2,V_s_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 184.24/184.05 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__acyclic__wf,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 184.24/184.05 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 184.24/184.05 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_neg__single__def,axiom,
% 184.24/184.05 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_pos__map__def,axiom,
% 184.24/184.05 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 184.24/184.05 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Oneg__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Ohb__single(T_a,V_x) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_pos__single__def,axiom,
% 184.24/184.05 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_New__DSequence_Opos__single__def,axiom,
% 184.24/184.05 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Osingle(T_a,V_x) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Nitpick_Owf_H__def,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 184.24/184.05 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 184.24/184.05 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 184.24/184.05 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_pigeonhole__infinite,axiom,
% 184.24/184.05 ! [V_f_2,T_c,V_A_2,T_b] :
% 184.24/184.05 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 184.24/184.05 => ? [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Abs__Integ__cases,axiom,
% 184.24/184.05 ! [V_x_2] :
% 184.24/184.05 ~ ! [B_y] :
% 184.24/184.05 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Abs__Integ__induct,axiom,
% 184.24/184.05 ! [V_x_2,V_Pa_2] :
% 184.24/184.05 ( ! [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 184.24/184.05 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 184.24/184.05 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__UN__I,axiom,
% 184.24/184.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ! [B_a] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 184.24/184.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_inj__on__diff__nat,axiom,
% 184.24/184.05 ! [V_k_2,V_N_2] :
% 184.24/184.05 ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 184.24/184.05 => c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_k_2),V_N_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wfP__SUP,axiom,
% 184.24/184.05 ! [T_b,V_r_2,T_c] :
% 184.24/184.05 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 184.24/184.05 => ( ! [B_i,B_j] :
% 184.24/184.05 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 184.24/184.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 184.24/184.05 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__map__freshness,axiom,
% 184.24/184.05 ! [V_f_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Map_Odom(T_b,T_c,V_f_2)))
% 184.24/184.05 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 184.24/184.05 => ? [B_x] : hAPP(V_f_2,B_x) = c_Option_Ooption_ONone(T_c) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_mem__splitE,axiom,
% 184.24/184.05 ! [V_p_2,V_ca_2,T_d,T_c,V_z_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_ca_2),V_p_2)))
% 184.24/184.05 => ~ ! [B_x,B_y] :
% 184.24/184.05 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_mem__splitI2,axiom,
% 184.24/184.05 ! [V_ca_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 184.24/184.05 ( ! [B_a,B_b] :
% 184.24/184.05 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) )
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_ca_2),V_p_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Eps__split,axiom,
% 184.24/184.05 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_someI,axiom,
% 184.24/184.05 ! [T_b,V_x_2,V_Pa_2] :
% 184.24/184.05 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.05 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_tfl__some,axiom,
% 184.24/184.05 ! [T_b,B_P] :
% 184.24/184.05 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 184.24/184.05 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_someI__ex,axiom,
% 184.24/184.05 ! [T_b,V_Pa_2] :
% 184.24/184.05 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 184.24/184.05 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_some__eq__ex,axiom,
% 184.24/184.05 ! [T_b,V_Pa_2] :
% 184.24/184.05 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 184.24/184.05 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_some__eq__trivial,axiom,
% 184.24/184.05 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_some__sym__eq__trivial,axiom,
% 184.24/184.05 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_exE__some,axiom,
% 184.24/184.05 ! [T_b,V_ca_2,V_Pa_2] :
% 184.24/184.05 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 184.24/184.05 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 184.24/184.05 => hBOOL(hAPP(V_Pa_2,V_ca_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Eps__split__eq,axiom,
% 184.24/184.05 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_split__paired__Eps,axiom,
% 184.24/184.05 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wfI__pf,axiom,
% 184.24/184.05 ! [V_R_2,T_b] :
% 184.24/184.05 ( ! [B_A] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A)))
% 184.24/184.05 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 184.24/184.05 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Sigma__mono,axiom,
% 184.24/184.05 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_acc_OaccI,axiom,
% 184.24/184.05 ! [V_r_2,V_x_2,T_b] :
% 184.24/184.05 ( ! [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_not__acc__down,axiom,
% 184.24/184.05 ! [V_R_2,V_x_2,T_b] :
% 184.24/184.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 184.24/184.05 => ~ ! [B_z] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold__image__1,axiom,
% 184.24/184.05 ! [V_f_2,V_S_2,T_b,T_c] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 184.24/184.05 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 184.24/184.05 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_card_Oneutral,axiom,
% 184.24/184.05 ! [V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 184.24/184.05 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_max__ext_Osimps,axiom,
% 184.24/184.05 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 184.24/184.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 184.24/184.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 184.24/184.05 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.05 & ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 184.24/184.05 => ? [B_xa] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold__image__cong,axiom,
% 184.24/184.05 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 184.24/184.05 ( class_Groups_Oab__semigroup__mult(T_c)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 184.24/184.05 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setprod__dvd__setprod__subset2,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 184.24/184.05 ( class_Rings_Ocomm__semiring__1(T_c)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2))) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Min__eqI,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ! [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.05 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Max__eqI,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ! [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.05 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__no__infinite__down__chainE,axiom,
% 184.24/184.05 ! [V_f_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_setsum__reindex__cong,axiom,
% 184.24/184.05 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 184.24/184.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 184.24/184.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 184.24/184.05 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 184.24/184.05 => ( ! [B_a] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 184.24/184.05 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 184.24/184.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_less__eq,axiom,
% 184.24/184.05 ! [V_n_2,V_m_2] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 184.24/184.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__trancl,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_less__than__def,axiom,
% 184.24/184.05 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_acyclic__def,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 184.24/184.05 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl_Or__into__trancl,axiom,
% 184.24/184.05 ! [V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__subset__Field2,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_r__into__trancl_H,axiom,
% 184.24/184.05 ! [V_r_2,V_p_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__empty,axiom,
% 184.24/184.05 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__domain,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__range,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__trancl,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 184.24/184.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__trans,axiom,
% 184.24/184.05 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 184.24/184.05 => ( 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_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 184.24/184.05 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 184.24/184.05 => ( 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_ca_2)),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__into__trancl2,axiom,
% 184.24/184.05 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.05 => ( 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_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_r__r__into__trancl,axiom,
% 184.24/184.05 ! [V_ca_2,V_R_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_R_2))
% 184.24/184.05 => ( 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_ca_2)),V_R_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__mono,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__unfold,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__subset__Sigma,axiom,
% 184.24/184.05 ! [V_A_2,V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__Int__subset,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__insert,axiom,
% 184.24/184.05 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_reflcl__set__eq,axiom,
% 184.24/184.05 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 184.24/184.05 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_r__into__rtrancl,axiom,
% 184.24/184.05 ! [V_r_2,V_p_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 184.24/184.05 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_IdI,axiom,
% 184.24/184.05 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__into__rtrancl,axiom,
% 184.24/184.05 ! [V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__unfold__right,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__unfold__left,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_reflcl__trancl,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__reflcl,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__rtrancl__absorb,axiom,
% 184.24/184.05 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__trancl__absorb,axiom,
% 184.24/184.05 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_refl__rtrancl,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__idemp,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__trans,axiom,
% 184.24/184.05 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => ( 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_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 184.24/184.05 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => ( 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_ca_2)),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 184.24/184.05 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.05 => ( 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_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__r__diff__Id,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_in__rtrancl__UnI,axiom,
% 184.24/184.05 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 184.24/184.05 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 184.24/184.05 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Image__closed__trancl,axiom,
% 184.24/184.05 ! [V_X_2,V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2))
% 184.24/184.05 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__Un__subset,axiom,
% 184.24/184.05 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__reflcl,axiom,
% 184.24/184.05 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__Un__rtrancl,axiom,
% 184.24/184.05 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__reflcl__absorb,axiom,
% 184.24/184.05 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__subset__rtrancl,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__subset,axiom,
% 184.24/184.05 ! [V_S_2,V_R_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 184.24/184.05 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__mono,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__Int__subset,axiom,
% 184.24/184.05 ! [V_r_2,V_s_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_r__comp__rtrancl__eq,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__idemp__self__comp,axiom,
% 184.24/184.05 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__unfold,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__empty,axiom,
% 184.24/184.05 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__rtrancl,axiom,
% 184.24/184.05 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__rtrancl,axiom,
% 184.24/184.05 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Id__O__R,axiom,
% 184.24/184.05 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_R__O__Id,axiom,
% 184.24/184.05 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Image__Id,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_pair__in__Id__conv,axiom,
% 184.24/184.05 ! [V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Relation_OId(T_b)))
% 184.24/184.05 <=> V_a_2 = V_ba_2 ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__trancl__trancl,axiom,
% 184.24/184.05 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__rtrancl__trancl,axiom,
% 184.24/184.05 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 184.24/184.05 => ( 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_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__into__trancl1,axiom,
% 184.24/184.05 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => ( 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_ca_2)),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtranclD,axiom,
% 184.24/184.05 ! [V_R_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 184.24/184.05 => ( V_a_2 = V_ba_2
% 184.24/184.05 | ( V_a_2 != V_ba_2
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__into__trancl2,axiom,
% 184.24/184.05 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.05 => ( 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_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__eq__or__trancl,axiom,
% 184.24/184.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 184.24/184.05 <=> ( V_x_2 = V_y_2
% 184.24/184.05 | ( V_x_2 != V_y_2
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__Id,axiom,
% 184.24/184.05 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__Id,axiom,
% 184.24/184.05 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_refl__Id,axiom,
% 184.24/184.05 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_pair__leq__def,axiom,
% 184.24/184.05 c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool)),c_FunDef_Opair__less),c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Not__Domain__rtrancl,axiom,
% 184.24/184.05 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 184.24/184.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 184.24/184.05 <=> V_x_2 = V_y_2 ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_acc__downwards__aux,axiom,
% 184.24/184.05 ! [V_r_2,V_a_2,V_ba_2,T_b] :
% 184.24/184.05 ( 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_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_acc__downwards,axiom,
% 184.24/184.05 ! [V_ba_2,V_r_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 184.24/184.05 => ( 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_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__insert,axiom,
% 184.24/184.05 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 184.24/184.05 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.05 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_acyclic__insert,axiom,
% 184.24/184.05 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 184.24/184.05 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 184.24/184.05 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_refl__reflcl,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Id__def,axiom,
% 184.24/184.05 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_irrefl__diff__Id,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_pred__nat__trancl__eq__le,axiom,
% 184.24/184.05 ! [V_n_2,V_m_2] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 184.24/184.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__subset__Sigma__aux,axiom,
% 184.24/184.05 ! [V_A_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 184.24/184.05 => ( V_a_2 = V_ba_2
% 184.24/184.05 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_irrefl__tranclI,axiom,
% 184.24/184.05 ! [V_x_2,V_r_2,T_b] :
% 184.24/184.05 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_sequence__trans,axiom,
% 184.24/184.05 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 184.24/184.05 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__converse,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__Id,axiom,
% 184.24/184.05 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__def,axiom,
% 184.24/184.05 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Domain__converse,axiom,
% 184.24/184.05 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Range__converse,axiom,
% 184.24/184.05 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_equiv__comp__eq,axiom,
% 184.24/184.05 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 184.24/184.05 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__UNION,axiom,
% 184.24/184.05 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converseD,axiom,
% 184.24/184.05 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_ba_2),V_a_2)),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converseI,axiom,
% 184.24/184.05 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_ba_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__iff,axiom,
% 184.24/184.05 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 184.24/184.05 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_ba_2),V_a_2)),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_refl__on__converse,axiom,
% 184.24/184.05 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.05 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 184.24/184.05 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__Int,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__converse,axiom,
% 184.24/184.05 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Field__converse,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__Id__on,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__inv__image,axiom,
% 184.24/184.05 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__converse,axiom,
% 184.24/184.05 ! [V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 184.24/184.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__Un,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__rel__comp,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_acyclic__converse,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 184.24/184.05 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__converse__trancl,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 184.24/184.05 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__converse,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__converseI,axiom,
% 184.24/184.05 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__converseD,axiom,
% 184.24/184.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__converseI,axiom,
% 184.24/184.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__converseD,axiom,
% 184.24/184.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Image__subset__eq,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2))
% 184.24/184.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_refl__on__comp__subset,axiom,
% 184.24/184.05 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_comp__equivI,axiom,
% 184.24/184.05 ! [V_A_2,V_r_2,T_b] :
% 184.24/184.05 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2
% 184.24/184.05 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 184.24/184.05 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_finite__acyclic__wf__converse,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 184.24/184.05 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 184.24/184.05 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_converse__def,axiom,
% 184.24/184.05 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_total__on__diff__Id,axiom,
% 184.24/184.05 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.05 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 184.24/184.05 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 184.24/184.05 ! [V_R_2,V_p_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_relpow_Osimps_I1_J,axiom,
% 184.24/184.05 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__power,axiom,
% 184.24/184.05 ! [V_R_2,V_p_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 184.24/184.05 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__imp__rtrancl,axiom,
% 184.24/184.05 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__1,axiom,
% 184.24/184.05 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__commute,axiom,
% 184.24/184.05 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_relpow_Osimps_I2_J,axiom,
% 184.24/184.05 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__add,axiom,
% 184.24/184.05 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_funpow__mult,axiom,
% 184.24/184.05 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_funpow__swap1,axiom,
% 184.24/184.05 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_wf__exp,axiom,
% 184.24/184.05 ! [V_R_2,V_n_2,T_b] :
% 184.24/184.05 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))
% 184.24/184.05 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_comp__funpow,axiom,
% 184.24/184.05 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_total__on__empty,axiom,
% 184.24/184.05 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_total__on__converse,axiom,
% 184.24/184.05 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.05 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 184.24/184.05 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__0__E,axiom,
% 184.24/184.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 184.24/184.05 => V_x_2 = V_y_2 ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__0__I,axiom,
% 184.24/184.05 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__Suc__I2,axiom,
% 184.24/184.05 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__Suc__I,axiom,
% 184.24/184.05 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2))
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_funpow_Osimps_I2_J,axiom,
% 184.24/184.05 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_funpow__add,axiom,
% 184.24/184.05 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_funpow_Osimps_I1_J,axiom,
% 184.24/184.05 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_trancl__power,axiom,
% 184.24/184.05 ! [V_R_2,V_p_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 184.24/184.05 <=> ? [B_n] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_total__on__def,axiom,
% 184.24/184.05 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.05 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 184.24/184.05 <=> ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.05 => ! [B_xa] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 184.24/184.05 => ( B_x != B_xa
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2))
% 184.24/184.05 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 184.24/184.05 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_funpow__code__def,axiom,
% 184.24/184.05 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__E2,axiom,
% 184.24/184.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 184.24/184.05 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.05 => V_x_2 != V_z_2 )
% 184.24/184.05 => ~ ! [B_y,B_m] :
% 184.24/184.05 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__E,axiom,
% 184.24/184.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 184.24/184.05 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.05 => V_x_2 != V_z_2 )
% 184.24/184.05 => ~ ! [B_y,B_m] :
% 184.24/184.05 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2)))
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_acyclicI,axiom,
% 184.24/184.05 ! [V_r_2,T_b] :
% 184.24/184.05 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 184.24/184.05 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_Image__Int__eq,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 184.24/184.05 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 184.24/184.05 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 184.24/184.05 ! [V_Q_2,V_Pa_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Q_2))))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 184.24/184.05 => ! [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Q_2))
% 184.24/184.05 => B_y = B_x ) )
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_single__valued__Id__on,axiom,
% 184.24/184.05 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_single__valued__subset,axiom,
% 184.24/184.05 ! [V_s_2,V_r_2,T_c,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 184.24/184.05 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 184.24/184.05 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_single__valued__rel__comp,axiom,
% 184.24/184.05 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 184.24/184.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 184.24/184.05 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 184.24/184.05 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_single__valued__Id,axiom,
% 184.24/184.05 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_single__valued__rel__pow,axiom,
% 184.24/184.05 ! [V_n_2,V_R_2,T_b] :
% 184.24/184.05 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 184.24/184.05 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_single__valuedD,axiom,
% 184.24/184.05 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 184.24/184.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2))
% 184.24/184.05 => V_y_2 = V_z_2 ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_single__valued__def,axiom,
% 184.24/184.05 ! [V_r_2,T_c,T_b] :
% 184.24/184.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 184.24/184.05 <=> ! [B_x,B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2))
% 184.24/184.05 => ! [B_z] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2))
% 184.24/184.05 => B_y = B_z ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_single__valued__confluent,axiom,
% 184.24/184.05 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 184.24/184.05 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.05 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rtrancl__Un__separatorE,axiom,
% 184.24/184.05 ! [V_Q_2,V_Pa_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Q_2))))
% 184.24/184.05 => ( ! [B_x] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 184.24/184.05 => ! [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Q_2))
% 184.24/184.05 => B_x = B_y ) )
% 184.24/184.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__Suc__E,axiom,
% 184.24/184.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 184.24/184.05 => ~ ! [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__Suc__D2,axiom,
% 184.24/184.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 184.24/184.05 => ? [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_rel__pow__Suc__E2,axiom,
% 184.24/184.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 184.24/184.05 => ~ ! [B_y] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 184.24/184.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_tranclD2,axiom,
% 184.24/184.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 184.24/184.05 => ? [B_z] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_tranclD,axiom,
% 184.24/184.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 184.24/184.05 => ? [B_z] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2))
% 184.24/184.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_IdE,axiom,
% 184.24/184.05 ! [V_p_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 184.24/184.05 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 184.24/184.05 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.05 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_folding_Oeq__fold,axiom,
% 184.24/184.05 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold__image__def,axiom,
% 184.24/184.05 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold__empty,axiom,
% 184.24/184.05 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold__def,axiom,
% 184.24/184.05 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_union__fold__insert,axiom,
% 184.24/184.05 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold__sup__insert,axiom,
% 184.24/184.05 ! [V_a_2,V_ba_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Osemilattice__sup(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ba_2),V_A_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fold__inf__insert,axiom,
% 184.24/184.05 ! [V_a_2,V_ba_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Osemilattice__inf(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ba_2),V_A_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_Ofold__inf__insert,axiom,
% 184.24/184.05 ! [V_a_2,V_ba_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ba_2),V_A_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_min__max_Ofold__sup__insert,axiom,
% 184.24/184.05 ! [V_a_2,V_ba_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Orderings_Olinorder(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ba_2),V_A_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 184.24/184.05 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 184.24/184.05 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_sup__SUPR__fold__sup,axiom,
% 184.24/184.05 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 184.24/184.05 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 184.24/184.05 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 184.24/184.05 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ).
% 184.24/184.05
% 184.24/184.05 fof(fact_sup__le__fold__sup,axiom,
% 184.24/184.05 ! [V_ba_2,V_a_2,V_A_2,T_b] :
% 184.24/184.05 ( class_Lattices_Osemilattice__sup(T_b)
% 184.24/184.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_ba_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ba_2),V_A_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fold__inf__le__inf,axiom,
% 184.24/184.06 ! [V_ba_2,V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Lattices_Osemilattice__inf(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ba_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_ba_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 184.24/184.06 ! [V_ba_2,V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ba_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_ba_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 184.24/184.06 ! [V_ba_2,V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ba_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ba_2),V_A_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fold1__eq__fold__idem,axiom,
% 184.24/184.06 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 184.24/184.06 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Lattices_Olattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 184.24/184.06 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Lattices_Olattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 184.24/184.06 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 184.24/184.06 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 184.24/184.06 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 184.24/184.06 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_minus__fold__remove,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_folding__one_Oeq__fold_H,axiom,
% 184.24/184.06 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_SUPR__fold__sup,axiom,
% 184.24/184.06 ! [V_f_2,V_A_2,T_b,T_c] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fold1__eq__fold,axiom,
% 184.24/184.06 ! [V_a_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Groups_Oab__semigroup__mult(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.06 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 184.24/184.06 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Lattices_Olattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 184.24/184.06 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Lattices_Olattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Min_Oeq__fold_H,axiom,
% 184.24/184.06 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Max_Oeq__fold_H,axiom,
% 184.24/184.06 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 184.24/184.06 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 184.24/184.06 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 184.24/184.06 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 184.24/184.06 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 184.24/184.06 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_y_2),V_z_2)) = hAPP(hAPP(V_f_2,V_y_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm,axiom,
% 184.24/184.06 ! [T_b] :
% 184.24/184.06 ( class_Groups_Oab__semigroup__mult(T_b)
% 184.24/184.06 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 184.24/184.06 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 184.24/184.06 => V_y_2 = V_x_2 ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 184.24/184.06 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 184.24/184.06 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 184.24/184.06 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 184.24/184.06 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 184.24/184.06 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 184.24/184.06 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 184.24/184.06 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 184.24/184.06 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.06 => ? [B_y_H] :
% 184.24/184.06 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 184.24/184.06 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INFI__fold__inf,axiom,
% 184.24/184.06 ! [V_f_2,V_A_2,T_b,T_c] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__E,axiom,
% 184.24/184.06 ! [V_a_2,V_B_2,V_A_2,T_c,V_ba_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_a_2)))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__D,axiom,
% 184.24/184.06 ! [V_a_2,V_B_2,V_A_2,T_c,V_ba_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF1__E,axiom,
% 184.24/184.06 ! [V_a_2,V_ba_2,V_B_2,V_A_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_ba_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_ba_2))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF1__D,axiom,
% 184.24/184.06 ! [V_a_2,V_ba_2,V_B_2,V_A_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_ba_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_ba_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF2__D,axiom,
% 184.24/184.06 ! [V_a_2,V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_ba_2),V_ca_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF2__E,axiom,
% 184.24/184.06 ! [V_a_2,V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_ba_2),V_ca_2))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_finite__INT,axiom,
% 184.24/184.06 ! [V_A_2,T_c,V_I_2,T_b] :
% 184.24/184.06 ( ? [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 184.24/184.06 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 184.24/184.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_UN__simps_I7_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_UN__extend__simps_I7_J,axiom,
% 184.24/184.06 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__extend__simps_I9_J,axiom,
% 184.24/184.06 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__simps_I9_J,axiom,
% 184.24/184.06 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Compl__INT,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Compl__UN,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Collect__ball__eq,axiom,
% 184.24/184.06 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF__less__iff,axiom,
% 184.24/184.06 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 184.24/184.06 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 & class_Orderings_Olinorder(T_b) )
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2))
% 184.24/184.06 <=> ? [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 184.24/184.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__Int__distrib,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 184.24/184.06 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b] :
% 184.24/184.06 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 184.24/184.06 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Pow__INT__eq,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INFI__apply,axiom,
% 184.24/184.06 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF__commute,axiom,
% 184.24/184.06 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INFI__bool__eq,axiom,
% 184.24/184.06 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__iff,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,V_ba_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,B_x))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF__INT__eq2,axiom,
% 184.24/184.06 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 184.24/184.06 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__absorb,axiom,
% 184.24/184.06 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF__INT__eq,axiom,
% 184.24/184.06 ! [V_x_2,V_r_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 184.24/184.06 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_vimage__INT,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__extend__simps_I10_J,axiom,
% 184.24/184.06 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__simps_I10_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Image__INT__subset,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__lower,axiom,
% 184.24/184.06 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_le__INF__iff,axiom,
% 184.24/184.06 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2)))
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__simps_I5_J,axiom,
% 184.24/184.06 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__extend__simps_I5_J,axiom,
% 184.24/184.06 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__subset__iff,axiom,
% 184.24/184.06 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)))
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__insert__distrib,axiom,
% 184.24/184.06 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__insert,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF__const,axiom,
% 184.24/184.06 ! [V_M_2,T_b,V_A_2,T_c] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 184.24/184.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__extend__simps_I2_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 184.24/184.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 184.24/184.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__extend__simps_I1_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 184.24/184.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 184.24/184.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__constant,axiom,
% 184.24/184.06 ! [V_ca_2,T_c,T_b,V_A_2] :
% 184.24/184.06 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 184.24/184.06 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = V_ca_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__empty,axiom,
% 184.24/184.06 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Un__INT__distrib2,axiom,
% 184.24/184.06 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__extend__simps_I6_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Un__INT__distrib,axiom,
% 184.24/184.06 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__extend__simps_I7_J,axiom,
% 184.24/184.06 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__simps_I6_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__simps_I7_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__Un,axiom,
% 184.24/184.06 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_converse__INTER,axiom,
% 184.24/184.06 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF__subset,axiom,
% 184.24/184.06 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INTER__def,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__simps_I2_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 184.24/184.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 184.24/184.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__simps_I1_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 184.24/184.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 184.24/184.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__extend__simps_I3_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 184.24/184.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) )
% 184.24/184.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__simps_I3_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 184.24/184.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 184.24/184.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__extend__simps_I4_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 184.24/184.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 184.24/184.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF__leI,axiom,
% 184.24/184.06 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__greaterThan__UNIV,axiom,
% 184.24/184.06 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__simps_I4_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 184.24/184.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 184.24/184.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Image__INT__eq,axiom,
% 184.24/184.06 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 184.24/184.06 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 184.24/184.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 184.24/184.06 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inf__INFI__fold__inf,axiom,
% 184.24/184.06 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__fold__inf,axiom,
% 184.24/184.06 ! [V_A_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__fold__sup,axiom,
% 184.24/184.06 ! [V_A_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_finite__Inter,axiom,
% 184.24/184.06 ! [V_M_2,T_b] :
% 184.24/184.06 ( ? [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 184.24/184.06 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 184.24/184.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_UnionI,axiom,
% 184.24/184.06 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_InterD,axiom,
% 184.24/184.06 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_InterE,axiom,
% 184.24/184.06 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__simps_I8_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INT__extend__simps_I8_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF2__iff,axiom,
% 184.24/184.06 ! [V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2))
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_ba_2),V_ca_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INF1__iff,axiom,
% 184.24/184.06 ! [V_ba_2,V_B_2,V_A_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_ba_2))
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_ba_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__image__eq,axiom,
% 184.24/184.06 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_INTER__eq__Inter__image,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Un__Inter,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__anti__mono,axiom,
% 184.24/184.06 ! [V_A_2,V_B_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__empty,axiom,
% 184.24/184.06 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__insert,axiom,
% 184.24/184.06 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_subset__Pow__Union,axiom,
% 184.24/184.06 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__disjoint,axiom,
% 184.24/184.06 ! [V_A_2,V_C_2,T_b] :
% 184.24/184.06 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__empty,axiom,
% 184.24/184.06 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__le__iff,axiom,
% 184.24/184.06 ! [V_ba_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_ba_2))
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_ba_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_le__Inf__iff,axiom,
% 184.24/184.06 ! [V_A_2,V_ba_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)))
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),B_x)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__upper,axiom,
% 184.24/184.06 ! [V_A_2,V_B_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__lower,axiom,
% 184.24/184.06 ! [V_A_2,V_B_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__mono,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Field__Union,axiom,
% 184.24/184.06 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__less__iff,axiom,
% 184.24/184.06 ! [V_a_2,V_S_2,T_b] :
% 184.24/184.06 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 & class_Orderings_Olinorder(T_b) )
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 184.24/184.06 <=> ? [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 184.24/184.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_less__Sup__iff,axiom,
% 184.24/184.06 ! [V_S_2,V_a_2,T_b] :
% 184.24/184.06 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 & class_Orderings_Olinorder(T_b) )
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 184.24/184.06 <=> ? [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 184.24/184.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__Pow__eq,axiom,
% 184.24/184.06 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__quotient,axiom,
% 184.24/184.06 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.06 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 184.24/184.06 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__Sup,axiom,
% 184.24/184.06 ! [V_A_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__Inf,axiom,
% 184.24/184.06 ! [V_A_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_finite__UnionD,axiom,
% 184.24/184.06 ! [V_A_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 184.24/184.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_image__Union,axiom,
% 184.24/184.06 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sigma__Union,axiom,
% 184.24/184.06 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_vimage__Union,axiom,
% 184.24/184.06 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Int__Union,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Int__Union2,axiom,
% 184.24/184.06 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_UN__extend__simps_I8_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_UN__simps_I8_J,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Range__Union,axiom,
% 184.24/184.06 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Domain__Union,axiom,
% 184.24/184.06 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__eq,axiom,
% 184.24/184.06 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__insert,axiom,
% 184.24/184.06 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__Un__distrib,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__UNIV,axiom,
% 184.24/184.06 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_UNION__eq__Union__image,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__image__eq,axiom,
% 184.24/184.06 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__upper,axiom,
% 184.24/184.06 ! [V_A_2,V_x_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__UNIV,axiom,
% 184.24/184.06 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__lower,axiom,
% 184.24/184.06 ! [V_A_2,V_x_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__Un__distrib,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__empty,axiom,
% 184.24/184.06 ! [T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__singleton,axiom,
% 184.24/184.06 ! [V_a_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__insert,axiom,
% 184.24/184.06 ! [V_A_2,V_a_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Int__Inter__image,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__singleton,axiom,
% 184.24/184.06 ! [V_a_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__UNIV,axiom,
% 184.24/184.06 ! [T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__empty,axiom,
% 184.24/184.06 ! [T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__UNIV,axiom,
% 184.24/184.06 ! [T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__insert,axiom,
% 184.24/184.06 ! [V_A_2,V_a_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Un__eq__Union,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Un__Union__image,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__Int__subset,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Int__eq__Inter,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__Un__subset,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__binary,axiom,
% 184.24/184.06 ! [V_ba_2,V_a_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_ba_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__binary,axiom,
% 184.24/184.06 ! [V_ba_2,V_a_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_ba_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_sup__Sup__fold__sup,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Sup__fin__Sup,axiom,
% 184.24/184.06 ! [V_A_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inf__Inf__fold__inf,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inf__fin__Inf,axiom,
% 184.24/184.06 ! [V_A_2,T_b] :
% 184.24/184.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_image__INT,axiom,
% 184.24/184.06 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 184.24/184.06 => ( ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 184.24/184.06 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_card__partition,axiom,
% 184.24/184.06 ! [V_k_2,V_C_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 184.24/184.06 => ( ! [B_c] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 184.24/184.06 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 184.24/184.06 => ( ! [B_c1] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 184.24/184.06 => ! [B_c2] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 184.24/184.06 => ( B_c1 != B_c2
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 184.24/184.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__def,axiom,
% 184.24/184.06 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Union__def,axiom,
% 184.24/184.06 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_finite__Union,axiom,
% 184.24/184.06 ! [V_A_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 184.24/184.06 => ( ! [B_M] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 184.24/184.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_insert__partition,axiom,
% 184.24/184.06 ! [V_F_2,V_x_2,T_b] :
% 184.24/184.06 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 184.24/184.06 => ( ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 184.24/184.06 => ! [B_xa] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 184.24/184.06 => ( B_x != B_xa
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 184.24/184.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inj__on__Inter,axiom,
% 184.24/184.06 ! [V_f_2,T_c,T_b,V_S_2] :
% 184.24/184.06 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 184.24/184.06 => ( ! [B_A] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 184.24/184.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 184.24/184.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Inter__subset,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.06 ( ! [B_X] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 184.24/184.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inj__on__INTER,axiom,
% 184.24/184.06 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 184.24/184.06 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => ( ! [B_i] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 184.24/184.06 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 184.24/184.06 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 184.24/184.06 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => ~ ! [B_y] :
% 184.24/184.06 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 184.24/184.06 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 184.24/184.06 ! [V_ca_2,V_ba_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_ba_2)) )
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ca_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_ba_2),V_ca_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 184.24/184.06 ! [V_ca_2,V_ba_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),B_x)) )
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ca_2),V_A_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_InterI,axiom,
% 184.24/184.06 ! [V_A_2,V_C_2,T_b] :
% 184.24/184.06 ( ! [B_X] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inf__le__fold__inf,axiom,
% 184.24/184.06 ! [V_ca_2,V_ba_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Lattices_Osemilattice__inf(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),B_x)) )
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_ba_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ca_2),V_A_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fold__sup__le__sup,axiom,
% 184.24/184.06 ! [V_ca_2,V_ba_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Lattices_Osemilattice__sup(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => ( ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_ba_2)) )
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ca_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_ba_2),V_ca_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_wf__eq__minimal,axiom,
% 184.24/184.06 ! [V_r_2,T_b] :
% 184.24/184.06 ( c_Wellfounded_Owf(T_b,V_r_2)
% 184.24/184.06 <=> ! [B_Q] :
% 184.24/184.06 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 184.24/184.06 => ? [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 184.24/184.06 & ! [B_y] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 184.24/184.06 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_transfer__nat__int__set__cong,axiom,
% 184.24/184.06 ! [V_P_H_2,V_Pa_2] :
% 184.24/184.06 ( ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 184.24/184.06 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 184.24/184.06 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 184.24/184.06 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 184.24/184.06 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 184.24/184.06 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 184.24/184.06 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 184.24/184.06 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 184.24/184.06 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.06 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 184.24/184.06 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 184.24/184.06 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Int__Collect__mono,axiom,
% 184.24/184.06 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.06 => ( ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 184.24/184.06 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 184.24/184.06 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_UnionE,axiom,
% 184.24/184.06 ! [V_C_2,V_A_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 184.24/184.06 => ~ ! [B_X] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__upd__left,axiom,
% 184.24/184.06 ! [V_u1_2,V_e1_2,V_e2_2,T_c,V_m_2,T_b] :
% 184.24/184.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_m_2),c_Map_Odom(T_b,T_c,V_e2_2)))
% 184.24/184.06 => c_Map_Omap__add(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_e1_2),V_m_2),hAPP(c_Option_Ooption_OSome(T_c),V_u1_2)),V_e2_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__add(T_b,T_c,V_e1_2,V_e2_2)),V_m_2),hAPP(c_Option_Ooption_OSome(T_c),V_u1_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_converseE,axiom,
% 184.24/184.06 ! [V_r_2,V_yx_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 184.24/184.06 => ~ ! [B_x,B_y] :
% 184.24/184.06 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__None,axiom,
% 184.24/184.06 ! [V_k_2,V_n_2,V_m_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(c_Map_Omap__add(T_c,T_b,V_m_2,V_n_2),V_k_2) = c_Option_Ooption_ONone(T_b)
% 184.24/184.06 <=> ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_b)
% 184.24/184.06 & hAPP(V_m_2,V_k_2) = c_Option_Ooption_ONone(T_b) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__find__right,axiom,
% 184.24/184.06 ! [V_m_2,T_c,V_xx_2,T_b,V_k_2,V_n_2] :
% 184.24/184.06 ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_xx_2)
% 184.24/184.06 => hAPP(c_Map_Omap__add(T_c,T_b,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_xx_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__assoc,axiom,
% 184.24/184.06 ! [V_m3_2,V_m2_2,V_m1_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,V_m1_2,c_Map_Omap__add(T_b,T_c,V_m2_2,V_m3_2)) = c_Map_Omap__add(T_b,T_c,c_Map_Omap__add(T_b,T_c,V_m1_2,V_m2_2),V_m3_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__empty,axiom,
% 184.24/184.06 ! [V_m_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c))) = V_m_2 ).
% 184.24/184.06
% 184.24/184.06 fof(fact_empty__map__add,axiom,
% 184.24/184.06 ! [V_m_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c)),V_m_2) = V_m_2 ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__def,axiom,
% 184.24/184.06 ! [V_x_2,V_m2_2,V_m1_2,T_b,T_c] : hAPP(c_Map_Omap__add(T_c,T_b,V_m1_2,V_m2_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_b,hAPP(V_m1_2,V_x_2),c_Option_Ooption_OSome(T_b)),hAPP(V_m2_2,V_x_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__dom__app__simps_I1_J,axiom,
% 184.24/184.06 ! [V_l1_2,V_l2_2,T_c,V_m_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_m_2),c_Map_Odom(T_b,T_c,V_l2_2)))
% 184.24/184.06 => hAPP(c_Map_Omap__add(T_b,T_c,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__dom__app__simps_I3_J,axiom,
% 184.24/184.06 ! [V_l1_2,V_l2_2,T_c,V_m_2,T_b] :
% 184.24/184.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_m_2),c_Map_Odom(T_b,T_c,V_l2_2)))
% 184.24/184.06 => hAPP(c_Map_Omap__add(T_b,T_c,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l1_2,V_m_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__dom__app__simps_I2_J,axiom,
% 184.24/184.06 ! [V_l2_2,V_l1_2,T_c,V_m_2,T_b] :
% 184.24/184.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_m_2),c_Map_Odom(T_b,T_c,V_l1_2)))
% 184.24/184.06 => hAPP(c_Map_Omap__add(T_b,T_c,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_dom__map__add,axiom,
% 184.24/184.06 ! [V_n_2,V_m_2,T_c,T_b] : c_Map_Odom(T_b,T_c,c_Map_Omap__add(T_b,T_c,V_m_2,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_n_2)),c_Map_Odom(T_b,T_c,V_m_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__SomeD,axiom,
% 184.24/184.06 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(c_Map_Omap__add(T_c,T_b,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2)
% 184.24/184.06 => ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2)
% 184.24/184.06 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_b)
% 184.24/184.06 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__Some__iff,axiom,
% 184.24/184.06 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(c_Map_Omap__add(T_c,T_b,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2)
% 184.24/184.06 <=> ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2)
% 184.24/184.06 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_b)
% 184.24/184.06 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__upd,axiom,
% 184.24/184.06 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,V_f_2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_g_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__add(T_b,T_c,V_f_2,V_g_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inj__on__map__add__dom,axiom,
% 184.24/184.06 ! [V_m_H_2,V_m_2,T_c,T_b] :
% 184.24/184.06 ( c_Fun_Oinj__on(T_b,tc_Option_Ooption(T_c),c_Map_Omap__add(T_b,T_c,V_m_2,V_m_H_2),c_Map_Odom(T_b,T_c,V_m_H_2))
% 184.24/184.06 <=> c_Fun_Oinj__on(T_b,tc_Option_Ooption(T_c),V_m_H_2,c_Map_Odom(T_b,T_c,V_m_H_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__comm,axiom,
% 184.24/184.06 ! [V_m2_2,V_m1_2,T_c,T_b] :
% 184.24/184.06 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_m1_2)),c_Map_Odom(T_b,T_c,V_m2_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 => c_Map_Omap__add(T_b,T_c,V_m1_2,V_m2_2) = c_Map_Omap__add(T_b,T_c,V_m2_2,V_m1_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_finite__range__map__of__map__add,axiom,
% 184.24/184.06 ! [V_l_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),hAPP(c_Set_Oimage(T_c,tc_Option_Ooption(T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 184.24/184.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),hAPP(c_Set_Oimage(T_c,tc_Option_Ooption(T_b),c_Map_Omap__add(T_c,T_b,V_f_2,c_Map_Omap__of(T_c,T_b,V_l_2))),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_rel__compE,axiom,
% 184.24/184.06 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2)))
% 184.24/184.06 => ~ ! [B_x,B_y,B_z] :
% 184.24/184.06 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_finite__dom__map__of,axiom,
% 184.24/184.06 ! [V_l_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Map_Odom(T_b,T_c,c_Map_Omap__of(T_b,T_c,V_l_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_finite__range__map__of,axiom,
% 184.24/184.06 ! [V_xys_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),hAPP(c_Set_Oimage(T_c,tc_Option_Ooption(T_b),c_Map_Omap__of(T_c,T_b,V_xys_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__add__map__of__foldr,axiom,
% 184.24/184.06 ! [V_ps_2,V_m_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,V_m_2,c_Map_Omap__of(T_b,T_c,V_ps_2)) = c_List_Ofoldr(tc_prod(T_b,T_c),tc_fun(T_b,tc_Option_Ooption(T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_c),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c)))),tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c))))),T_b),c_COMBB(tc_Option_Ooption(T_c),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c))),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c)))),tc_fun(tc_Option_Ooption(T_c),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c)))),T_b),c_COMBC(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c)))),hAPP(c_COMBC(tc_fun(T_b,tc_Option_Ooption(T_c)),T_b,tc_fun(tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c)))),c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)))))),c_Option_Ooption_OSome(T_c))),V_ps_2,V_m_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_,axiom,
% 184.24/184.06 ! [V_y_2,V_x_2,T_b] : c_Smallcheck_Oorelse(T_b,V_x_2,V_y_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_b,V_y_2,c_Option_Ooption_OSome(T_b)),V_x_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_full__small__int__def,axiom,
% 184.24/184.06 ! [V_d_2,V_f_2] : c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,V_f_2,V_d_2) = c_Smallcheck_Ofull__small_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_small_H_Osimps,axiom,
% 184.24/184.06 ! [V_f_2,V_i_2,V_d_2] :
% 184.24/184.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 184.24/184.06 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 184.24/184.06 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_small_H_Opsimps,axiom,
% 184.24/184.06 ! [V_i_2,V_d_2,V_f_2] :
% 184.24/184.06 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_f_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2))))
% 184.24/184.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 184.24/184.06 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 184.24/184.06 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_small__int__def,axiom,
% 184.24/184.06 ! [V_d_2,V_f_2] : hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint),V_f_2),V_d_2) = c_Smallcheck_Osmall_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_small__prod__def,axiom,
% 184.24/184.06 ! [V_d_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( ( class_Smallcheck_Osmall(T_c)
% 184.24/184.06 & class_Smallcheck_Osmall(T_b) )
% 184.24/184.06 => hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(T_b,T_c)),V_f_2),V_d_2) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(T_b),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_b),c_Smallcheck_Osmall__class_Osmall(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c)))),V_d_2)),V_d_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_small_H_Opinduct,axiom,
% 184.24/184.06 ! [V_Pa_2,V_a2_2,V_a1_2,V_a0_2] :
% 184.24/184.06 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_a0_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a1_2),V_a2_2))))
% 184.24/184.06 => ( ! [B_f,B_d,B_i] :
% 184.24/184.06 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),B_f),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i))))
% 184.24/184.06 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 184.24/184.06 => ( hAPP(B_f,B_i) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))
% 184.24/184.06 => hBOOL(hAPP(hAPP(hAPP(V_Pa_2,B_f),B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) )
% 184.24/184.06 => hBOOL(hAPP(hAPP(hAPP(V_Pa_2,B_f),B_d),B_i)) ) )
% 184.24/184.06 => hBOOL(hAPP(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2),V_a2_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_body__def,axiom,
% 184.24/184.06 c_Com_Obody = c_Map_Omap__of(tc_Com_Opname,tc_Com_Ocom,c_Com_Obodies) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__mapk__SomeI,axiom,
% 184.24/184.06 ! [V_x_2,V_k_2,V_t_2,T_d,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.06 => ( hAPP(c_Map_Omap__of(T_b,T_d,V_t_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_d),V_x_2)
% 184.24/184.06 => hAPP(c_Map_Omap__of(T_c,T_d,hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_b),c_Product__Type_OPair(T_c,T_d)),V_f_2))),V_t_2)),hAPP(V_f_2,V_k_2)) = hAPP(c_Option_Ooption_OSome(T_d),V_x_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__comp__def,axiom,
% 184.24/184.06 ! [V_k_2,V_g_2,V_f_2,T_d,T_b,T_c] : c_Map_Omap__comp(T_c,T_b,T_d,V_f_2,V_g_2,V_k_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_c,c_Option_Ooption_ONone(T_b),V_f_2),hAPP(V_g_2,V_k_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inj__mapI,axiom,
% 184.24/184.06 ! [V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.06 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__comp__Some__iff,axiom,
% 184.24/184.06 ! [V_v_2,V_k_2,V_m2_2,V_m1_2,T_d,T_b,T_c] :
% 184.24/184.06 ( c_Map_Omap__comp(T_c,T_b,T_d,V_m1_2,V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_v_2)
% 184.24/184.06 <=> ? [B_k_H] :
% 184.24/184.06 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),B_k_H)
% 184.24/184.06 & hAPP(V_m1_2,B_k_H) = hAPP(c_Option_Ooption_OSome(T_b),V_v_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__comp__simps_I2_J,axiom,
% 184.24/184.06 ! [V_m1_2,T_c,T_d,V_k_H_2,T_b,V_k_2,V_m2_2] :
% 184.24/184.06 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_k_H_2)
% 184.24/184.06 => c_Map_Omap__comp(T_b,T_d,T_c,V_m1_2,V_m2_2,V_k_2) = hAPP(V_m1_2,V_k_H_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__comp__simps_I1_J,axiom,
% 184.24/184.06 ! [V_m1_2,T_c,T_d,T_b,V_k_2,V_m2_2] :
% 184.24/184.06 ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_b)
% 184.24/184.06 => c_Map_Omap__comp(T_b,T_d,T_c,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_d) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inj__map,axiom,
% 184.24/184.06 ! [V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 184.24/184.06 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inj__map__eq__map,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 184.24/184.06 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 184.24/184.06 <=> V_xs_2 = V_ys_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inj__mapD,axiom,
% 184.24/184.06 ! [V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 184.24/184.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__injective,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 184.24/184.06 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 184.24/184.06 => V_xs_2 = V_ys_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__ident,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 184.24/184.06
% 184.24/184.06 fof(fact_List_Omap_Oidentity,axiom,
% 184.24/184.06 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_List_Omap_Oid,axiom,
% 184.24/184.06 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__map,axiom,
% 184.24/184.06 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_List_Omap_Ocompositionality,axiom,
% 184.24/184.06 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__comp__map,axiom,
% 184.24/184.06 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_List_Omap_Ocomp,axiom,
% 184.24/184.06 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_foldr__map,axiom,
% 184.24/184.06 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__comp__empty_I1_J,axiom,
% 184.24/184.06 ! [V_x_2,V_m_2,T_d,T_b,T_c] : c_Map_Omap__comp(T_c,T_b,T_d,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_c),T_d),c_Option_Ooption_ONone(T_c)),V_x_2) = c_Option_Ooption_ONone(T_b) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__comp__empty_I2_J,axiom,
% 184.24/184.06 ! [V_x_2,V_m_2,T_d,T_b,T_c] : c_Map_Omap__comp(T_c,T_b,T_d,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b)),V_m_2,V_x_2) = c_Option_Ooption_ONone(T_b) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__comp__None__iff,axiom,
% 184.24/184.06 ! [V_k_2,V_m2_2,V_m1_2,T_d,T_b,T_c] :
% 184.24/184.06 ( c_Map_Omap__comp(T_c,T_b,T_d,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_b)
% 184.24/184.06 <=> ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_c)
% 184.24/184.06 | ? [B_k_H] :
% 184.24/184.06 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),B_k_H)
% 184.24/184.06 & hAPP(V_m1_2,B_k_H) = c_Option_Ooption_ONone(T_b) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__map,axiom,
% 184.24/184.06 ! [V_xs_2,V_f_2,T_d,T_c,T_b] : c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),V_xs_2)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),T_b,hAPP(c_Option_Omap(T_d,T_c),V_f_2)),c_Map_Omap__of(T_b,T_d,V_xs_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__map__keys,axiom,
% 184.24/184.06 ! [V_m_2,T_c,V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Map_Odom(T_b,T_c,V_m_2)
% 184.24/184.06 => c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_c),T_c,T_b),c_Option_Othe(T_c)),V_m_2))),V_xs_2)) = V_m_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_finite__set,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__map,axiom,
% 184.24/184.06 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__eq__conv,axiom,
% 184.24/184.06 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 184.24/184.06 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Option_Omap_Ocomp,axiom,
% 184.24/184.06 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),hAPP(c_Option_Omap(T_d,T_c),V_f_2)),hAPP(c_Option_Omap(T_b,T_d),V_g_2)) = hAPP(c_Option_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Option_Omap_Ocompositionality,axiom,
% 184.24/184.06 ! [V_option_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_Option_Omap(T_d,T_c),V_g_2),V_option_2)) = hAPP(hAPP(c_Option_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_option_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_option__map__comp,axiom,
% 184.24/184.06 ! [V_opt_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_Option_Omap(T_d,T_c),V_g_2),V_opt_2)) = hAPP(hAPP(c_Option_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_opt_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_option__map__o__sum__case,axiom,
% 184.24/184.06 ! [V_h_2,V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_e),tc_Option_Ooption(T_d),tc_sum(T_b,T_c),hAPP(c_Option_Omap(T_e,T_d),V_f_2)),c_Sum__Type_Osum_Osum__case(T_b,tc_Option_Ooption(T_e),T_c,V_g_2,V_h_2)) = c_Sum__Type_Osum_Osum__case(T_b,tc_Option_Ooption(T_d),T_c,hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_e),tc_Option_Ooption(T_d),T_b,hAPP(c_Option_Omap(T_e,T_d),V_f_2)),V_g_2),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_e),tc_Option_Ooption(T_d),T_c,hAPP(c_Option_Omap(T_e,T_d),V_f_2)),V_h_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Option_Omap_Oidentity,axiom,
% 184.24/184.06 ! [T_b] : hAPP(c_Option_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_Option_Ooption(T_b)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Option_Omap_Oid,axiom,
% 184.24/184.06 ! [T_b] : hAPP(c_Option_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_Option_Ooption(T_b)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_infinite__UNIV__listI,axiom,
% 184.24/184.06 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_dom__option__map,axiom,
% 184.24/184.06 ! [V_m_2,V_f_2,T_d,T_c,T_b] : c_Map_Odom(T_b,T_c,hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_d),tc_Option_Ooption(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_c),tc_fun(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c)),T_b),c_Option_Omap(T_d,T_c)),V_f_2)),V_m_2)) = c_Map_Odom(T_b,T_d,V_m_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_option__map__Some,axiom,
% 184.24/184.06 ! [V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),hAPP(c_Option_Ooption_OSome(T_c),V_x_2)) = hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_x_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_option__map__eq__Some,axiom,
% 184.24/184.06 ! [V_y_2,V_xo_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),V_xo_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2)
% 184.24/184.06 <=> ? [B_z] :
% 184.24/184.06 ( V_xo_2 = hAPP(c_Option_Ooption_OSome(T_c),B_z)
% 184.24/184.06 & hAPP(V_f_2,B_z) = V_y_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_option__map__None,axiom,
% 184.24/184.06 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),c_Option_Ooption_ONone(T_c)) = c_Option_Ooption_ONone(T_b) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_option__map__is__None,axiom,
% 184.24/184.06 ! [V_opt_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),V_opt_2) = c_Option_Ooption_ONone(T_b)
% 184.24/184.06 <=> V_opt_2 = c_Option_Ooption_ONone(T_c) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_option__map__o__empty,axiom,
% 184.24/184.06 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_d,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_COMBK(tc_Option_Ooption(T_c),T_d),c_Option_Ooption_ONone(T_c))),V_x_2) = c_Option_Ooption_ONone(T_b) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_option__map__o__map__upd,axiom,
% 184.24/184.06 ! [V_ba_2,V_a_2,V_m_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),T_b,hAPP(c_Option_Omap(T_d,T_c),V_f_2)),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_d)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_d),V_ba_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),T_b,hAPP(c_Option_Omap(T_d,T_c),V_f_2)),V_m_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),hAPP(V_f_2,V_ba_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inj__on__map__eq__map,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 184.24/184.06 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 184.24/184.06 <=> V_xs_2 = V_ys_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__inj__on,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 184.24/184.06 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2)))
% 184.24/184.06 => V_xs_2 = V_ys_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__fun__upd,axiom,
% 184.24/184.06 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 184.24/184.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => hAPP(hAPP(c_List_Omap(T_b,T_c),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_y_2),V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_inj__on__mapI,axiom,
% 184.24/184.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2)))
% 184.24/184.06 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__eq__dom,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,T_c,T_b] :
% 184.24/184.06 ( c_Map_Omap__of(T_b,T_c,V_xs_2) = c_Map_Omap__of(T_b,T_c,V_ys_2)
% 184.24/184.06 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xs_2)) = hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_ys_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__SomeD,axiom,
% 184.24/184.06 ! [V_y_2,V_k_2,V_xs_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(c_Map_Omap__of(T_c,T_b,V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2)
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_k_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_c,T_b)),V_xs_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__is__SomeD,axiom,
% 184.24/184.06 ! [V_y_2,V_x_2,V_xys_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(c_Map_Omap__of(T_c,T_b,V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2)
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_c,T_b)),V_xys_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_dom__map__of__conv__image__fst,axiom,
% 184.24/184.06 ! [V_xys_2,T_c,T_b] : c_Map_Odom(T_b,T_c,c_Map_Omap__of(T_b,T_c,V_xys_2)) = hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xys_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__eq__None__iff,axiom,
% 184.24/184.06 ! [V_x_2,V_xys_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(c_Map_Omap__of(T_c,T_b,V_xys_2),V_x_2) = c_Option_Ooption_ONone(T_b)
% 184.24/184.06 <=> ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(c_List_Oset(tc_prod(T_c,T_b)),V_xys_2)))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Option_Omap__def,axiom,
% 184.24/184.06 ! [V_f_2,T_c,T_b] : hAPP(c_Option_Omap(T_b,T_c),V_f_2) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_c),T_b,c_Option_Ooption_ONone(T_c),hAPP(hAPP(c_COMBB(T_c,tc_Option_Ooption(T_c),T_b),c_Option_Ooption_OSome(T_c)),V_f_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_WT__bodies__def,axiom,
% 184.24/184.06 ( c_Com_OWT__bodies
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname,tc_Com_Ocom)),B_x),hAPP(c_List_Oset(tc_prod(tc_Com_Opname,tc_Com_Ocom)),c_Com_Obodies)))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname,tc_Com_Ocom,tc_HOL_Obool),hAPP(c_COMBK(tc_fun(tc_Com_Ocom,tc_HOL_Obool),tc_Com_Opname),c_Com_OWT)),B_x)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__map__restrict,axiom,
% 184.24/184.06 ! [V_ks_2,V_f_2,T_c,T_b] : c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_ks_2)) = c_Map_Orestrict__map(T_b,T_c,hAPP(c_Fun_Ocomp(T_c,tc_Option_Ooption(T_c),T_b,c_Option_Ooption_OSome(T_c)),V_f_2),hAPP(c_List_Oset(T_b),V_ks_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_ran__distinct,axiom,
% 184.24/184.06 ! [V_al_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_al_2)))
% 184.24/184.06 => c_Map_Oran(T_b,T_c,c_Map_Omap__of(T_b,T_c,V_al_2)) = hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_al_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__map__of__compr,axiom,
% 184.24/184.06 ! [V_xs_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_xs_2)))
% 184.24/184.06 => hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xs_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_c),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_Option_Ooption(T_c),tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_c),tc_fun(tc_Option_Ooption(T_c),tc_HOL_Obool),T_b),c_fequal),c_Map_Omap__of(T_b,T_c,V_xs_2)))),c_Option_Ooption_OSome(T_c)))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__map,axiom,
% 184.24/184.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 184.24/184.06 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 184.24/184.06 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__inject__set,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_xs_2)))
% 184.24/184.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_ys_2)))
% 184.24/184.06 => ( c_Map_Omap__of(T_b,T_c,V_xs_2) = c_Map_Omap__of(T_b,T_c,V_ys_2)
% 184.24/184.06 <=> hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xs_2) = hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_ys_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__is__SomeI,axiom,
% 184.24/184.06 ! [V_y_2,V_x_2,V_xys_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_xys_2)))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xys_2)))
% 184.24/184.06 => hAPP(c_Map_Omap__of(T_b,T_c,V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_c),V_y_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__eq__Some__iff,axiom,
% 184.24/184.06 ! [V_y_2,V_x_2,V_xys_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_xys_2)))
% 184.24/184.06 => ( hAPP(c_Map_Omap__of(T_b,T_c,V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_c),V_y_2)
% 184.24/184.06 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xys_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Some__eq__map__of__iff,axiom,
% 184.24/184.06 ! [V_x_2,V_y_2,V_xys_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_xys_2)))
% 184.24/184.06 => ( hAPP(c_Option_Ooption_OSome(T_c),V_y_2) = hAPP(c_Map_Omap__of(T_b,T_c,V_xys_2),V_x_2)
% 184.24/184.06 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xys_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_greaterThanLessThan__upto,axiom,
% 184.24/184.06 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_weak__map__of__SomeI,axiom,
% 184.24/184.06 ! [V_l_2,V_x_2,V_k_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_k_2),V_x_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_l_2)))
% 184.24/184.06 => ? [B_x] : hAPP(c_Map_Omap__of(T_b,T_c,V_l_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),B_x) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_atLeastAtMost__upto,axiom,
% 184.24/184.06 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__upto,axiom,
% 184.24/184.06 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__upto,axiom,
% 184.24/184.06 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_atLeastLessThan__upto,axiom,
% 184.24/184.06 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_greaterThanAtMost__upto,axiom,
% 184.24/184.06 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nat__list__def,axiom,
% 184.24/184.06 ! [V_l_2] :
% 184.24/184.06 ( c_List_Onat__list(V_l_2)
% 184.24/184.06 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__remove1__eq,axiom,
% 184.24/184.06 ! [V_x_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.06 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_remove1__idem,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_notin__set__remove1,axiom,
% 184.24/184.06 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_in__set__remove1,axiom,
% 184.24/184.06 ! [V_xs_2,T_b,V_ba_2,V_a_2] :
% 184.24/184.06 ( V_a_2 != V_ba_2
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_ba_2,V_xs_2))))
% 184.24/184.06 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__remove1__subset,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_remove1__commute,axiom,
% 184.24/184.06 ! [V_zs,V_y,V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Oremove1(T_a,V_y,V_zs)) = c_List_Oremove1(T_a,V_y,c_List_Oremove1(T_a,V_x,V_zs)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__remove1,axiom,
% 184.24/184.06 ! [V_x,V_xs,T_a] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 184.24/184.06 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_sorted__list__of__set__remove,axiom,
% 184.24/184.06 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__zip__map,axiom,
% 184.24/184.06 ! [V_f_2,T_c,V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),V_x_2) = hAPP(c_Option_Ooption_OSome(T_c),hAPP(V_f_2,V_x_2)) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),V_x_2) = c_Option_Ooption_ONone(T_c) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__zipI2,axiom,
% 184.24/184.06 ! [V_xs,T_b,V_ys,T_a] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 184.24/184.06 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__zipI1,axiom,
% 184.24/184.06 ! [V_ys,T_b,V_xs,T_a] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 184.24/184.06 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__same__conv__map,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__map__fst__snd,axiom,
% 184.24/184.06 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__zip__map2,axiom,
% 184.24/184.06 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__zip__map,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_in__set__zipE,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 184.24/184.06 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__zip__rightD,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__zip__leftD,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__same,axiom,
% 184.24/184.06 ! [V_xs_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2))))
% 184.24/184.06 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 & V_a_2 = V_ba_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__map2,axiom,
% 184.24/184.06 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__map1,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__map__map,axiom,
% 184.24/184.06 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_sorted__list__of__set__insert,axiom,
% 184.24/184.06 ! [V_x_2,V_A_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__zip__upd,axiom,
% 184.24/184.06 ! [V_z_2,V_y_2,V_x_2,V_zs_2,V_xs_2,T_c,V_ys_2,T_b] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)
% 184.24/184.06 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 184.24/184.06 => ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_zs_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_z_2))
% 184.24/184.06 => c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2)) = c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_zs_2)) ) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_length__zip,axiom,
% 184.24/184.06 ! [V_ys,V_xs,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(T_a,T_b))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__insort,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_c)
% 184.24/184.06 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_insort__left__comm,axiom,
% 184.24/184.06 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_insort__key__left__comm,axiom,
% 184.24/184.06 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 184.24/184.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_length__insort,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_c)
% 184.24/184.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_neq__if__length__neq,axiom,
% 184.24/184.06 ! [V_ys,V_xs,T_a] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)
% 184.24/184.06 => V_xs != V_ys ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_fun__left__comm__insort,axiom,
% 184.24/184.06 ! [T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_lexn__length,axiom,
% 184.24/184.06 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))
% 184.24/184.06 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 184.24/184.06 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_length__map,axiom,
% 184.24/184.06 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__eq__imp__length__eq,axiom,
% 184.24/184.06 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)
% 184.24/184.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_remove1__insort,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_card__length,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__card,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.06 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_card__distinct,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 184.24/184.06 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__zip__inject,axiom,
% 184.24/184.06 ! [V_zs_2,V_xs_2,T_c,V_ys_2,T_b] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)
% 184.24/184.06 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 184.24/184.06 => ( c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2)) = c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_zs_2))
% 184.24/184.06 => V_ys_2 = V_zs_2 ) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__fst__zip,axiom,
% 184.24/184.06 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 184.24/184.06 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__snd__zip,axiom,
% 184.24/184.06 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 184.24/184.06 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__insort,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_c)
% 184.24/184.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)))
% 184.24/184.06 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_length__pos__if__in__set,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__eq__conv,axiom,
% 184.24/184.06 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 184.24/184.06 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 184.24/184.06 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2
% 184.24/184.06 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_lenlex__conv,axiom,
% 184.24/184.06 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_lenlex__def,axiom,
% 184.24/184.06 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_finite__lists__length__eq,axiom,
% 184.24/184.06 ! [V_n_2,V_A_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__eq__iff__zip__eq,axiom,
% 184.24/184.06 ! [T_b,V_ys_2,V_xs_2] :
% 184.24/184.06 ( V_xs_2 = V_ys_2
% 184.24/184.06 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 184.24/184.06 & ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__zip__is__None,axiom,
% 184.24/184.06 ! [V_x_2,V_ys_2,T_c,V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 184.24/184.06 => ( hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)),V_x_2) = c_Option_Ooption_ONone(T_c)
% 184.24/184.06 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__zip__is__Some,axiom,
% 184.24/184.06 ! [V_x_2,V_ys_2,T_c,V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 <=> ? [B_y] : hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_c),B_y) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_length__remove1,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_dom__map__of__zip,axiom,
% 184.24/184.06 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 184.24/184.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.06 => c_Map_Odom(T_b,T_c,c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) = hAPP(c_List_Oset(T_b),V_xs_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_finite__lists__length__le,axiom,
% 184.24/184.06 ! [V_n_2,V_A_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Nitpick_Ocard_H__def,axiom,
% 184.24/184.06 ! [V_A_2,T_b] :
% 184.24/184.06 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__iff__zip,axiom,
% 184.24/184.06 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 184.24/184.06 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 184.24/184.06 & ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__rtrancl__refl,axiom,
% 184.24/184.06 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__eq__len,axiom,
% 184.24/184.06 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 184.24/184.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__rtrancl__trans,axiom,
% 184.24/184.06 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__mono,axiom,
% 184.24/184.06 ! [V_s_2,V_r_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrelp__listrel__eq,axiom,
% 184.24/184.06 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 184.24/184.06 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2)
% 184.24/184.06 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_lexn_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_impossible__Cons,axiom,
% 184.24/184.06 ! [V_x,V_ys,V_xs,T_a] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 184.24/184.06 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__ConsD,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))))
% 184.24/184.06 => ( V_y_2 = V_x_2
% 184.24/184.06 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__Cons__Cons,axiom,
% 184.24/184.06 ! [V_ys,V_y,V_xs,V_x,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__subset__Cons,axiom,
% 184.24/184.06 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_foldr_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_not__Cons__self,axiom,
% 184.24/184.06 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_not__Cons__self2,axiom,
% 184.24/184.06 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list_Oinject,axiom,
% 184.24/184.06 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2)
% 184.24/184.06 <=> ( V_a_2 = V_a_H_2
% 184.24/184.06 & V_list_2 = V_list_H_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrelp_Oequations_I2_J,axiom,
% 184.24/184.06 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 184.24/184.06 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2))
% 184.24/184.06 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 184.24/184.06 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrelp_OCons,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 184.24/184.06 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 184.24/184.06 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_remove1_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_xs,T_a,V_y,V_x] :
% 184.24/184.06 ( ( V_x = V_y
% 184.24/184.06 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 184.24/184.06 & ( V_x != V_y
% 184.24/184.06 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Oremove1(T_a,V_x,V_xs)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_insort__key_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 184.24/184.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 184.24/184.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 184.24/184.06 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__Cons__code_I2_J,axiom,
% 184.24/184.06 ! [V_ps,V_v,T_c,T_b,V_k,V_l] :
% 184.24/184.06 ( ( V_l = V_k
% 184.24/184.06 => hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(c_Option_Ooption_OSome(T_c),V_v) )
% 184.24/184.06 & ( V_l != V_k
% 184.24/184.06 => hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(c_Map_Omap__of(T_b,T_c,V_ps),V_k) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list_Osize_I4_J,axiom,
% 184.24/184.06 ! [V_list,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),V_list)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_list)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel_OCons,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_ps_2,V_p_2,T_c,T_b] : c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),V_p_2),V_ps_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__of(T_b,T_c,V_ps_2)),hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Option_Ooption_OSome(T_c),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Cons__in__lex,axiom,
% 184.24/184.06 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2)))
% 184.24/184.06 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 184.24/184.06 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) )
% 184.24/184.06 | ( V_x_2 = V_y_2
% 184.24/184.06 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__Cons,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__Cons__def,axiom,
% 184.24/184.06 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__Cons1,axiom,
% 184.24/184.06 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 184.24/184.06 => ~ ! [B_y,B_ys] :
% 184.24/184.06 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__Cons2,axiom,
% 184.24/184.06 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2)))
% 184.24/184.06 => ~ ! [B_x,B_xs] :
% 184.24/184.06 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_length__sublist,axiom,
% 184.24/184.06 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_pick_Osimps,axiom,
% 184.24/184.06 ! [V_xs,V_x,T_a,V_i] :
% 184.24/184.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 184.24/184.06 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a),V_x) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 184.24/184.06 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Random_Opick(T_a,V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__sublistI,axiom,
% 184.24/184.06 ! [V_I_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_in__set__sublistD,axiom,
% 184.24/184.06 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_notin__set__sublistI,axiom,
% 184.24/184.06 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__sublist__subset,axiom,
% 184.24/184.06 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_select__weight__cons__zero,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_pick__member,axiom,
% 184.24/184.06 ! [V_xs_2,T_b,V_i_2] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__simps_I2_J,axiom,
% 184.24/184.06 ! [V_xs,V_x,T_a] :
% 184.24/184.06 ( class_Groups_Omonoid__add(T_a)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__subtractf,axiom,
% 184.24/184.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( class_Groups_Oab__group__add(T_b)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__const__mult,axiom,
% 184.24/184.06 ! [V_xs_2,V_f_2,V_ca_2,T_c,T_b] :
% 184.24/184.06 ( class_Rings_Osemiring__0(T_b)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__mult__const,axiom,
% 184.24/184.06 ! [V_xs_2,V_ca_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( class_Rings_Osemiring__0(T_b)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_ca_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_ca_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__addf,axiom,
% 184.24/184.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__0,axiom,
% 184.24/184.06 ! [V_xs_2,T_c,T_b] :
% 184.24/184.06 ( class_Groups_Omonoid__add(T_b)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__abs,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] :
% 184.24/184.06 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_uminus__listsum__map,axiom,
% 184.24/184.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( class_Groups_Oab__group__add(T_b)
% 184.24/184.06 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] :
% 184.24/184.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_select__weight__def,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 184.24/184.06 ! [V_f_2,V_xs_2,T_b,T_c] :
% 184.24/184.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 184.24/184.06 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 184.24/184.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 184.24/184.06 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 184.24/184.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 184.24/184.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__triv,axiom,
% 184.24/184.06 ! [V_xs_2,V_r_2,T_c,T_b] :
% 184.24/184.06 ( class_Rings_Osemiring__1(T_b)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__map__remove1,axiom,
% 184.24/184.06 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 184.24/184.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_select__weight__member,axiom,
% 184.24/184.06 ! [V_s_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 184.24/184.06 ! [V_f_2,V_A_2,T_b,T_c] :
% 184.24/184.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 184.24/184.06 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.06 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_upto_Opsimps,axiom,
% 184.24/184.06 ! [V_j_2,V_i_2] :
% 184.24/184.06 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_i_2),V_j_2)))
% 184.24/184.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 184.24/184.06 => c_List_Oupto(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i_2),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 184.24/184.06 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__Nil2,axiom,
% 184.24/184.06 ! [V_r_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2)))
% 184.24/184.06 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__Nil1,axiom,
% 184.24/184.06 ! [V_r_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 184.24/184.06 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 184.24/184.06 ! [V_ns_2] :
% 184.24/184.06 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.06 <=> ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 184.24/184.06 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__simps_I1_J,axiom,
% 184.24/184.06 ! [T_a] :
% 184.24/184.06 ( class_Groups_Omonoid__add(T_a)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__is__Nil__conv,axiom,
% 184.24/184.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 184.24/184.06 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map_Osimps_I1_J,axiom,
% 184.24/184.06 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Nil__is__map__conv,axiom,
% 184.24/184.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 184.24/184.06 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 184.24/184.06 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrelp_Oequations_I1_J,axiom,
% 184.24/184.06 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrelp_ONil,axiom,
% 184.24/184.06 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_insort__not__Nil,axiom,
% 184.24/184.06 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_c)
% 184.24/184.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct_Osimps_I1_J,axiom,
% 184.24/184.06 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_remove1_Osimps_I1_J,axiom,
% 184.24/184.06 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_foldr_Osimps_I1_J,axiom,
% 184.24/184.06 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ).
% 184.24/184.06
% 184.24/184.06 fof(fact_upto__empty,axiom,
% 184.24/184.06 ! [V_i,V_j] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 184.24/184.06 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__Nil,axiom,
% 184.24/184.06 ! [V_ys,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Olist_ONil(T_a)),V_ys) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip_Osimps_I1_J,axiom,
% 184.24/184.06 ! [V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list_Osize_I3_J,axiom,
% 184.24/184.06 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_length__0__conv,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_sorted__list__of__set__empty,axiom,
% 184.24/184.06 ! [T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__empty,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 184.24/184.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__empty2,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] :
% 184.24/184.06 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 184.24/184.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 184.24/184.06 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_list_H,V_a_H,T_a] : c_List_Olist_ONil(T_a) != hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list_Osimps_I3_J,axiom,
% 184.24/184.06 ! [V_list_H,V_a_H,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) != c_List_Olist_ONil(T_a) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_insort__key_Osimps_I1_J,axiom,
% 184.24/184.06 ! [V_x_2,V_f_2,T_b,T_c] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_c)
% 184.24/184.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_sublist__empty,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_sublist__nil,axiom,
% 184.24/184.06 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_length__greater__0__conv,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel_ONil,axiom,
% 184.24/184.06 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Nil__notin__lex,axiom,
% 184.24/184.06 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Nil2__notin__lex,axiom,
% 184.24/184.06 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_upto_Osimps,axiom,
% 184.24/184.06 ! [V_j,V_i] :
% 184.24/184.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 184.24/184.06 => c_List_Oupto(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j)) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 184.24/184.06 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_sublist__singleton,axiom,
% 184.24/184.06 ! [V_x_2,T_b,V_A_2] :
% 184.24/184.06 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 184.24/184.06 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 184.24/184.06 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_upto__rec__number__of,axiom,
% 184.24/184.06 ! [V_n,V_m] :
% 184.24/184.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 184.24/184.06 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 184.24/184.06 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__Nil,axiom,
% 184.24/184.06 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__Cons__sing__Nil,axiom,
% 184.24/184.06 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_select__weigth__select,axiom,
% 184.24/184.06 ! [T_b,V_xs_2] :
% 184.24/184.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 184.24/184.06 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_select,axiom,
% 184.24/184.06 ! [V_s_2,T_b,V_xs_2] :
% 184.24/184.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of_Osimps_I1_J,axiom,
% 184.24/184.06 ! [V_x_1,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b,c_List_Olist_ONil(tc_prod(T_a,T_b))),V_x_1) = c_Option_Ooption_ONone(T_b) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__of__Cons__code_I1_J,axiom,
% 184.24/184.06 ! [V_k,T_a,T_b] : hAPP(c_Map_Omap__of(T_b,T_a,c_List_Olist_ONil(tc_prod(T_b,T_a))),V_k) = c_Option_Ooption_ONone(T_a) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_anamorph_Osimps,axiom,
% 184.24/184.06 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 184.24/184.06 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 184.24/184.06 => hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2,V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) )
% 184.24/184.06 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 184.24/184.06 => hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2,V_k_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listset_Osimps_I1_J,axiom,
% 184.24/184.06 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listset_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__Cons1,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__Cons,axiom,
% 184.24/184.06 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list_Osimps_I5_J,axiom,
% 184.24/184.06 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list_Osimps_I4_J,axiom,
% 184.24/184.06 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ).
% 184.24/184.06
% 184.24/184.06 fof(fact_select__def,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_pick__same,axiom,
% 184.24/184.06 ! [V_xs_2,T_b,V_l_2] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth_Osimps,axiom,
% 184.24/184.06 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__Cons__0,axiom,
% 184.24/184.06 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_x ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__Cons__Suc,axiom,
% 184.24/184.06 ! [V_n,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__map,axiom,
% 184.24/184.06 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_all__set__conv__all__nth,axiom,
% 184.24/184.06 ! [V_Pa_2,V_xs_2,T_b] :
% 184.24/184.06 ( ! [B_x] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 184.24/184.06 <=> ! [B_i] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__conv__nth,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.06 <=> ! [B_i] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => ! [B_j] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => ( B_i != B_j
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__eq__iff__index__eq,axiom,
% 184.24/184.06 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2)
% 184.24/184.06 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__eq__iff__nth__eq,axiom,
% 184.24/184.06 ! [T_b,V_ys_2,V_xs_2] :
% 184.24/184.06 ( V_xs_2 = V_ys_2
% 184.24/184.06 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 184.24/184.06 & ! [B_i] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__zip,axiom,
% 184.24/184.06 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)))
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys),V_i)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_elem__le__listsum__nat,axiom,
% 184.24/184.06 ! [V_ns,V_k] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__mem,axiom,
% 184.24/184.06 ! [V_xs_2,T_b,V_n_2] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_in__set__conv__nth,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 <=> ? [B_i] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__Cons_H,axiom,
% 184.24/184.06 ! [V_xs,V_x,T_a,V_n] :
% 184.24/184.06 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 184.24/184.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__conv__nth,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__Cons__number__of,axiom,
% 184.24/184.06 ! [V_xs,V_x,T_a,V_v] :
% 184.24/184.06 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = V_x )
% 184.24/184.06 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__setsum__nth,axiom,
% 184.24/184.06 ! [V_xs_2,T_b] :
% 184.24/184.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__sublist,axiom,
% 184.24/184.06 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listrel__iff__nth,axiom,
% 184.24/184.06 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 184.24/184.06 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 184.24/184.06 & ! [B_n] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__zip,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_insort__insert__insort__key,axiom,
% 184.24/184.06 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 184.24/184.06 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__list__update,axiom,
% 184.24/184.06 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 184.24/184.06 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__list__update__neq,axiom,
% 184.24/184.06 ! [V_x,V_xs,T_a,V_j,V_i] :
% 184.24/184.06 ( V_i != V_j
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__id,axiom,
% 184.24/184.06 ! [V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)) = V_xs ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__code_I1_J,axiom,
% 184.24/184.06 ! [V_y,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_y) = c_List_Olist_ONil(T_a) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update_Osimps_I1_J,axiom,
% 184.24/184.06 ! [V_v,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_v) = c_List_Olist_ONil(T_a) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__nonempty,axiom,
% 184.24/184.06 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 184.24/184.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__update,axiom,
% 184.24/184.06 ! [V_y,V_ys,V_x,V_i,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),V_y)) = hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_update__zip,axiom,
% 184.24/184.06 ! [V_xy,V_i,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),V_xy) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(c_Product__Type_Ofst(T_a,T_b),V_xy))),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),hAPP(c_Product__Type_Osnd(T_a,T_b),V_xy))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_length__list__update,axiom,
% 184.24/184.06 ! [V_x,V_i,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__overwrite,axiom,
% 184.24/184.06 ! [V_y,V_x,V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i),V_y) = hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__swap,axiom,
% 184.24/184.06 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 184.24/184.06 ( V_i != V_i_H
% 184.24/184.06 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i_H),V_x_H) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i_H),V_x_H)),V_i),V_x) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_distinct__insort__insert,axiom,
% 184.24/184.06 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_c)
% 184.24/184.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__beyond,axiom,
% 184.24/184.06 ! [V_x,V_i,V_xs,T_a] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i))
% 184.24/184.06 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__update,axiom,
% 184.24/184.06 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__code_I3_J,axiom,
% 184.24/184.06 ! [V_y,V_i,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_i)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__code_I2_J,axiom,
% 184.24/184.06 ! [V_y,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update_Osimps_I2_J,axiom,
% 184.24/184.06 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__update__subsetI,axiom,
% 184.24/184.06 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2))
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__update__subset__insert,axiom,
% 184.24/184.06 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__list__update,axiom,
% 184.24/184.06 ! [V_x,V_j,V_xs,T_a,V_i] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.06 => ( ( V_i = V_j
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = V_x )
% 184.24/184.06 & ( V_i != V_j
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__same__conv,axiom,
% 184.24/184.06 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 184.24/184.06 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__list__update__eq,axiom,
% 184.24/184.06 ! [V_x,V_xs,T_a,V_i] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i) = V_x ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__update__memI,axiom,
% 184.24/184.06 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_insort__insert__triv,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__insort__insert,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__update__nat,axiom,
% 184.24/184.06 ! [V_n,V_ns,V_k] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat,V_ns),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns)),V_n)),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_insort__insert__key__triv,axiom,
% 184.24/184.06 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 184.24/184.06 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_insort__insert__insort,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( class_Orderings_Olinorder(T_b)
% 184.24/184.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_sublist__Cons,axiom,
% 184.24/184.06 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_lexord__cons__cons,axiom,
% 184.24/184.06 ! [V_r_2,V_y_2,V_ba_2,V_x_2,V_a_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_ba_2),V_y_2))),c_List_Olexord(T_b,V_r_2)))
% 184.24/184.06 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.06 | ( V_a_2 = V_ba_2
% 184.24/184.06 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__append__length,axiom,
% 184.24/184.06 ! [V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = V_x ).
% 184.24/184.06
% 184.24/184.06 fof(fact_nth__append__length__plus,axiom,
% 184.24/184.06 ! [V_n,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_ys),V_n) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_zip__append,axiom,
% 184.24/184.06 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 184.24/184.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_us)
% 184.24/184.06 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_vs)
% 184.24/184.06 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_List_Oappend(T_b),V_us),V_vs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_us)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),V_vs)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_length__append,axiom,
% 184.24/184.06 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__append1,axiom,
% 184.24/184.06 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.06 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_i),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_ys) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_list__update__length,axiom,
% 184.24/184.06 ! [V_y,V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_y) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_remove1__append,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) )
% 184.24/184.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.06 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_append__eq__Cons__conv,axiom,
% 184.24/184.06 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 184.24/184.06 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 184.24/184.06 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 184.24/184.06 | ? [B_ys_H] :
% 184.24/184.06 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 184.24/184.06 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Cons__eq__append__conv,axiom,
% 184.24/184.06 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)
% 184.24/184.06 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 184.24/184.06 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 184.24/184.06 | ? [B_ys_H] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 184.24/184.06 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_append1__eq__conv,axiom,
% 184.24/184.06 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b)))
% 184.24/184.06 <=> ( V_xs_2 = V_ys_2
% 184.24/184.06 & V_x_2 = V_y_2 ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_lexord__append__left__rightI,axiom,
% 184.24/184.06 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_ba_2,V_a_2,T_b] :
% 184.24/184.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2))
% 184.24/184.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_ba_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_append__Cons,axiom,
% 184.24/184.06 ! [V_ys,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_ys) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_Cons__eq__appendI,axiom,
% 184.24/184.06 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 184.24/184.06 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 184.24/184.06 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_listsum__append,axiom,
% 184.24/184.06 ! [V_ys,V_xs,T_a] :
% 184.24/184.06 ( class_Groups_Omonoid__add(T_a)
% 184.24/184.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_ys)) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_map__append,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_set__append,axiom,
% 184.24/184.06 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_append__eq__appendI,axiom,
% 184.24/184.06 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 184.24/184.06 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 184.24/184.06 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_append__same__eq,axiom,
% 184.24/184.06 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2)
% 184.24/184.06 <=> V_ys_2 = V_zs_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_same__append__eq,axiom,
% 184.24/184.06 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2)
% 184.24/184.06 <=> V_ys_2 = V_zs_2 ) ).
% 184.24/184.06
% 184.24/184.06 fof(fact_append__eq__append__conv2,axiom,
% 184.24/184.06 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2)
% 184.24/184.07 <=> ? [B_us] :
% 184.24/184.07 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 184.24/184.07 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 184.24/184.07 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 184.24/184.07 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__assoc,axiom,
% 184.24/184.07 ! [V_zs,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__of__append,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_c,T_b] : c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),V_xs_2),V_ys_2)) = c_Map_Omap__add(T_b,T_c,c_Map_Omap__of(T_b,T_c,V_ys_2),c_Map_Omap__of(T_b,T_c,V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldr__append,axiom,
% 184.24/184.07 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lexord__append__leftI,axiom,
% 184.24/184.07 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__Nil,axiom,
% 184.24/184.07 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Nil__is__append__conv,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 184.24/184.07 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 184.24/184.07 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__Nil2,axiom,
% 184.24/184.07 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 184.24/184.07
% 184.24/184.07 fof(fact_self__append__conv,axiom,
% 184.24/184.07 ! [V_ys_2,T_b,V_xs_2] :
% 184.24/184.07 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 184.24/184.07 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_self__append__conv2,axiom,
% 184.24/184.07 ! [V_xs_2,T_b,V_ys_2] :
% 184.24/184.07 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 184.24/184.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__is__Nil__conv,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 184.24/184.07 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 184.24/184.07 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__self__conv,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 184.24/184.07 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__self__conv2,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 184.24/184.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_eq__Nil__appendI,axiom,
% 184.24/184.07 ! [T_a,V_ys,V_xs] :
% 184.24/184.07 ( V_xs = V_ys
% 184.24/184.07 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__append,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 184.24/184.07 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.07 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 184.24/184.07 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__append,axiom,
% 184.24/184.07 ! [V_ys,V_xs,T_a,V_n] :
% 184.24/184.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) )
% 184.24/184.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_list__update__append,axiom,
% 184.24/184.07 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 184.24/184.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_n),V_x)),V_ys) )
% 184.24/184.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist__update(T_a,V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_x)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lexord__Nil__right,axiom,
% 184.24/184.07 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sublist__append,axiom,
% 184.24/184.07 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lexord__lex,axiom,
% 184.24/184.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2)))
% 184.24/184.07 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 184.24/184.07 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__upds__append1,axiom,
% 184.24/184.07 ! [V_x_2,V_m_2,V_ys_2,T_c,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 184.24/184.07 => c_Map_Omap__upds(T_b,T_c,V_m_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lexord__take__index__conv,axiom,
% 184.24/184.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 184.24/184.07 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))
% 184.24/184.07 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 )
% 184.24/184.07 | ? [B_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))))
% 184.24/184.07 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 184.24/184.07 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__append,axiom,
% 184.24/184.07 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_fun__upds__append__drop,axiom,
% 184.24/184.07 ! [V_zs_2,V_m_2,V_ys_2,T_c,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 184.24/184.07 => c_Map_Omap__upds(T_b,T_c,V_m_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2),V_ys_2) = c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_fun__upds__append2__drop,axiom,
% 184.24/184.07 ! [V_zs_2,V_m_2,V_ys_2,T_c,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 184.24/184.07 => c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_zs_2)) = c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__upds__Nil2,axiom,
% 184.24/184.07 ! [V_as_2,V_m_2,T_c,T_b] : c_Map_Omap__upds(T_b,T_c,V_m_2,V_as_2,c_List_Olist_ONil(T_c)) = V_m_2 ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__upds__Nil1,axiom,
% 184.24/184.07 ! [V_bs_2,V_m_2,T_c,T_b] : c_Map_Omap__upds(T_b,T_c,V_m_2,c_List_Olist_ONil(T_b),V_bs_2) = V_m_2 ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__Nil,axiom,
% 184.24/184.07 ! [V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__eq__Nil,axiom,
% 184.24/184.07 ! [V_xs_2,V_n_2,T_b] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 184.24/184.07 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__0,axiom,
% 184.24/184.07 ! [V_xs,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = c_List_Olist_ONil(T_a) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sublist__upt__eq__take,axiom,
% 184.24/184.07 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__zip,axiom,
% 184.24/184.07 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Otake(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_b),V_n),V_ys)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__take,axiom,
% 184.24/184.07 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__add__upds,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,V_m2_2,V_m1_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,V_m1_2,c_Map_Omap__upds(T_b,T_c,V_m2_2,V_xs_2,V_ys_2)) = c_Map_Omap__upds(T_b,T_c,c_Map_Omap__add(T_b,T_c,V_m1_2,V_m2_2),V_xs_2,V_ys_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__take,axiom,
% 184.24/184.07 ! [V_i,V_xs,T_a] :
% 184.24/184.07 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 184.24/184.07 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__take__subset,axiom,
% 184.24/184.07 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__take__subset__set__take,axiom,
% 184.24/184.07 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_in__set__takeD,axiom,
% 184.24/184.07 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__upds__apply__nontin,axiom,
% 184.24/184.07 ! [V_ys_2,V_f_2,T_c,V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => hAPP(c_Map_Omap__upds(T_b,T_c,V_f_2,V_xs_2,V_ys_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__map,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__Suc__Cons,axiom,
% 184.24/184.07 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__1__Cons,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__upd__upds__conv__if,axiom,
% 184.24/184.07 ! [V_y_2,V_f_2,V_xs_2,V_ys_2,T_c,V_x_2,T_b] :
% 184.24/184.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)),V_xs_2))))
% 184.24/184.07 => c_Map_Omap__upds(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)),V_xs_2,V_ys_2) = c_Map_Omap__upds(T_b,T_c,V_f_2,V_xs_2,V_ys_2) )
% 184.24/184.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)),V_xs_2))))
% 184.24/184.07 => c_Map_Omap__upds(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)),V_xs_2,V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__upds(T_b,T_c,V_f_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_dom__map__upds,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,V_m_2,T_c,T_b] : c_Map_Odom(T_b,T_c,c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)),V_xs_2))),c_Map_Odom(T_b,T_c,V_m_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__all,axiom,
% 184.24/184.07 ! [V_n,V_xs,T_a] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__take,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__take,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_n,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__upds__Cons,axiom,
% 184.24/184.07 ! [V_bs_2,V_ba_2,V_as_2,V_a_2,V_m_2,T_c,T_b] : c_Map_Omap__upds(T_b,T_c,V_m_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_as_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_ba_2),V_bs_2)) = c_Map_Omap__upds(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_ba_2)),V_as_2,V_bs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__Cons,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__Cons_H,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_a,V_n] :
% 184.24/184.07 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 184.24/184.07 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__upds__list__update2__drop,axiom,
% 184.24/184.07 ! [V_y_2,V_m_2,V_ys_2,T_c,V_i_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_i_2))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 184.24/184.07 => c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) = c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__upds__twist,axiom,
% 184.24/184.07 ! [V_bs_2,V_ba_2,V_m_2,T_c,V_as_2,V_a_2,T_b] :
% 184.24/184.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_as_2)))
% 184.24/184.07 => c_Map_Omap__upds(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_ba_2)),V_as_2,V_bs_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__upds(T_b,T_c,V_m_2,V_as_2,V_bs_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_ba_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__Cons__number__of,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_a,V_v] :
% 184.24/184.07 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 184.24/184.07 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_restrict__map__upds,axiom,
% 184.24/184.07 ! [V_m_2,V_D_2,V_ys_2,T_c,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_D_2))
% 184.24/184.07 => c_Map_Orestrict__map(T_b,T_c,c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2),V_D_2) = c_Map_Omap__upds(T_b,T_c,c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_D_2),hAPP(c_List_Oset(T_b),V_xs_2))),V_xs_2,V_ys_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__Suc__conv__app__nth,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),c_List_Olist_ONil(T_a))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 184.24/184.07 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2)))
% 184.24/184.07 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 184.24/184.07 & V_x_2 = V_y_2 )
% 184.24/184.07 | ( V_xs_2 = V_ys_2
% 184.24/184.07 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lexord__append__leftD,axiom,
% 184.24/184.07 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2)))
% 184.24/184.07 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Cons__acc__listrel1I,axiom,
% 184.24/184.07 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel1__mono,axiom,
% 184.24/184.07 ! [V_s_2,V_r_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 184.24/184.07 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel1__converse,axiom,
% 184.24/184.07 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 184.24/184.07 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 184.24/184.07 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel1I2,axiom,
% 184.24/184.07 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 184.24/184.07 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel1__eq__len,axiom,
% 184.24/184.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 184.24/184.07 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 184.24/184.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 184.24/184.07 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_not__Nil__listrel1,axiom,
% 184.24/184.07 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_not__listrel1__Nil,axiom,
% 184.24/184.07 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__listrel1I,axiom,
% 184.24/184.07 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 184.24/184.07 & V_us_2 = V_vs_2 )
% 184.24/184.07 | ( V_xs_2 = V_ys_2
% 184.24/184.07 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) )
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_in__listrel1__converse,axiom,
% 184.24/184.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 184.24/184.07 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 184.24/184.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 184.24/184.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Cons__listrel1__Cons,axiom,
% 184.24/184.07 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2)))
% 184.24/184.07 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 184.24/184.07 & V_xs_2 = V_ys_2 )
% 184.24/184.07 | ( V_x_2 = V_y_2
% 184.24/184.07 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel1I1,axiom,
% 184.24/184.07 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel1__subset__listrel,axiom,
% 184.24/184.07 ! [V_r_H_2,V_r_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 184.24/184.07 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel1I,axiom,
% 184.24/184.07 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 184.24/184.07 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2))
% 184.24/184.07 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel1__iff__update,axiom,
% 184.24/184.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 184.24/184.07 <=> ? [B_y,B_n] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2))
% 184.24/184.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.07 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel1E,axiom,
% 184.24/184.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 184.24/184.07 => ~ ! [B_x,B_y] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 184.24/184.07 => ! [B_us,B_vs] :
% 184.24/184.07 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 184.24/184.07 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate1__def,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upd__conv__take__nth__drop,axiom,
% 184.24/184.07 ! [V_a,V_xs,T_a,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_a) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__drop__subset__set__drop,axiom,
% 184.24/184.07 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__eq__Nil,axiom,
% 184.24/184.07 ! [V_xs_2,V_n_2,T_b] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 184.24/184.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__all,axiom,
% 184.24/184.07 ! [V_n,V_xs,T_a] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 184.24/184.07 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__via__drop,axiom,
% 184.24/184.07 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__drop,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__rotate1,axiom,
% 184.24/184.07 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate1(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__1__Cons,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__Suc__Cons,axiom,
% 184.24/184.07 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__map,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_in__set__dropD,axiom,
% 184.24/184.07 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__rotate1,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__drop__subset,axiom,
% 184.24/184.07 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct1__rotate,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 184.24/184.07 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__drop,axiom,
% 184.24/184.07 ! [V_i,V_xs,T_a] :
% 184.24/184.07 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 184.24/184.07 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__drop,axiom,
% 184.24/184.07 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__0,axiom,
% 184.24/184.07 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__zip,axiom,
% 184.24/184.07 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Odrop(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_b),V_n),V_ys)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__Nil,axiom,
% 184.24/184.07 ! [V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate1__is__Nil__conv,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 184.24/184.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__append,axiom,
% 184.24/184.07 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__drop,axiom,
% 184.24/184.07 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_m),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__take,axiom,
% 184.24/184.07 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__take__drop__id,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = V_xs ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__eq__conv__conj,axiom,
% 184.24/184.07 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 184.24/184.07 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2)
% 184.24/184.07 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__Cons,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__Cons_H,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_a,V_n] :
% 184.24/184.07 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 184.24/184.07 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__drop,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_i,V_n] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__eq__append__conv__if,axiom,
% 184.24/184.07 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 184.24/184.07 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 184.24/184.07 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 184.24/184.07 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 184.24/184.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 184.24/184.07 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 184.24/184.07 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__drop_H,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__simps,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_b,T_a] :
% 184.24/184.07 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 184.24/184.07 & hAPP(c_List_Orotate1(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),c_List_Olist_ONil(T_b))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__Cons__number__of,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_a,V_v] :
% 184.24/184.07 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 184.24/184.07 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__add,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_j,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_j),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate1__length01,axiom,
% 184.24/184.07 ! [V_xs,T_a] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 184.24/184.07 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_zip__append1,axiom,
% 184.24/184.07 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_zip__append2,axiom,
% 184.24/184.07 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Oappend(T_b),V_ys),V_zs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_ys)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_zs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_id__take__nth__drop,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__hd__drop,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_n] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs))),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_hd__drop__conv__nth,axiom,
% 184.24/184.07 ! [V_n,T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_hd__map,axiom,
% 184.24/184.07 ! [V_f_2,T_c,T_b,V_xs_2] :
% 184.24/184.07 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 184.24/184.07 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_hd_Osimps,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_a] : hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ).
% 184.24/184.07
% 184.24/184.07 fof(fact_hd__append2,axiom,
% 184.24/184.07 ! [V_ys,T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_hd__append,axiom,
% 184.24/184.07 ! [V_ys,T_a,V_xs] :
% 184.24/184.07 ( ( V_xs = c_List_Olist_ONil(T_a)
% 184.24/184.07 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_ys) )
% 184.24/184.07 & ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_hd__in__set,axiom,
% 184.24/184.07 ! [T_b,V_xs_2] :
% 184.24/184.07 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_hd__conv__nth,axiom,
% 184.24/184.07 ! [T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => hAPP(c_List_Ohd(T_a),V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate1__hd__tl,axiom,
% 184.24/184.07 ! [T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => hAPP(c_List_Orotate1(T_a),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),c_List_Olist_ONil(T_a))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_hd__rotate__conv__nth,axiom,
% 184.24/184.07 ! [V_n,T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__Suc,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__tl,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_tl__drop,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_tl__append2,axiom,
% 184.24/184.07 ! [V_ys,T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),V_ys) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__rotate,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__conv__mod,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(c_List_Orotate(T_a,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_tl_Osimps_I2_J,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__map,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__tl,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__rotate,axiom,
% 184.24/184.07 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__rotate,axiom,
% 184.24/184.07 ! [V_xs_2,V_n_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 184.24/184.07 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__tl,axiom,
% 184.24/184.07 ! [V_xs,T_a] :
% 184.24/184.07 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 184.24/184.07 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__rotate,axiom,
% 184.24/184.07 ! [V_xs,V_n,V_m,T_a] : hAPP(c_List_Orotate(T_a,V_m),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_xs) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_tl_Osimps_I1_J,axiom,
% 184.24/184.07 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__is__Nil__conv,axiom,
% 184.24/184.07 ! [V_xs_2,V_n_2,T_b] :
% 184.24/184.07 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 184.24/184.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__tl,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__def,axiom,
% 184.24/184.07 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__Suc,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate1__rotate__swap,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orotate1(T_a),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_tl__append,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate0,axiom,
% 184.24/184.07 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__add,axiom,
% 184.24/184.07 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__id,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_n] :
% 184.24/184.07 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__length01,axiom,
% 184.24/184.07 ! [V_n,V_xs,T_a] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 184.24/184.07 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__tl,axiom,
% 184.24/184.07 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_tl__take,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_List_Otl(T_a),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__Suc,axiom,
% 184.24/184.07 ! [V_n,T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__drop__take,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)),hAPP(hAPP(c_List_Otake(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_fold1__set,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 184.24/184.07 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 184.24/184.07 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_list_Osize_I2_J,axiom,
% 184.24/184.07 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldl__Nil,axiom,
% 184.24/184.07 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldr__conv__foldl,axiom,
% 184.24/184.07 ! [V_a_2,V_xs_2,T_b] :
% 184.24/184.07 ( class_Groups_Oab__semigroup__add(T_b)
% 184.24/184.07 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldl__absorb0,axiom,
% 184.24/184.07 ! [V_zs_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Groups_Omonoid__add(T_b)
% 184.24/184.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldl__assoc,axiom,
% 184.24/184.07 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Groups_Osemigroup__add(T_b)
% 184.24/184.07 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_start__le__sum,axiom,
% 184.24/184.07 ! [V_ns_2,V_n_2,V_m_2] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_ns_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldl__map,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_list__size__map,axiom,
% 184.24/184.07 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldl__Cons,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldl__append,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listsum__foldl,axiom,
% 184.24/184.07 ! [T_b] :
% 184.24/184.07 ( class_Groups_Omonoid__add(T_b)
% 184.24/184.07 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldl__foldr1,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( class_Groups_Omonoid__add(T_b)
% 184.24/184.07 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldl__foldr1__lemma,axiom,
% 184.24/184.07 ! [V_xs_2,V_a_2,T_b] :
% 184.24/184.07 ( class_Groups_Omonoid__add(T_b)
% 184.24/184.07 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sum__eq__0__conv,axiom,
% 184.24/184.07 ! [V_ns_2,V_m_2] :
% 184.24/184.07 ( hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 & ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 184.24/184.07 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_list_Osize_I1_J,axiom,
% 184.24/184.07 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 184.24/184.07 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 184.24/184.07 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 184.24/184.07 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Sup__set__fold,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.07 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Inf__set__fold,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.07 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Sup__fin__set__fold,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Lattices_Olattice(T_b)
% 184.24/184.07 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Inf__fin__set__fold,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Lattices_Olattice(T_b)
% 184.24/184.07 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Min__fin__set__fold,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Max__fin__set__fold,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_SUPR__set__fold,axiom,
% 184.24/184.07 ! [V_f_2,V_xs_2,T_c,T_b] :
% 184.24/184.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.07 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_INFI__set__fold,axiom,
% 184.24/184.07 ! [V_f_2,V_xs_2,T_c,T_b] :
% 184.24/184.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 184.24/184.07 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_list__size__estimation,axiom,
% 184.24/184.07 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_list__size__estimation_H,axiom,
% 184.24/184.07 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__upds__fold__map__upd,axiom,
% 184.24/184.07 ! [V_vs_2,V_ks_2,V_m_2,T_c,T_b] : c_Map_Omap__upds(T_b,T_c,V_m_2,V_ks_2,V_vs_2) = hAPP(c_List_Ofoldl(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c)))),tc_fun(tc_prod(T_b,T_c),tc_fun(T_b,tc_Option_Ooption(T_c))),tc_fun(T_b,tc_Option_Ooption(T_c))),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_b,tc_Option_Ooption(T_c)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c))))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c))))),tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c))))),tc_fun(T_b,tc_Option_Ooption(T_c))),c_COMBC(T_b,tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c))))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c)))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c))))),tc_fun(T_b,tc_Option_Ooption(T_c))),hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c))),tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c)))),T_b),c_COMBB(tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c)),T_c))),c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c))))),c_Option_Ooption_OSome(T_c))),V_m_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_ks_2),V_vs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_elem__le__sum,axiom,
% 184.24/184.07 ! [V_ns_2,V_n_2] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_list__size__conv__listsum,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel__subset,axiom,
% 184.24/184.07 ! [V_A_2,V_r_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lists__accI,axiom,
% 184.24/184.07 ! [V_r_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lists_ONil,axiom,
% 184.24/184.07 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_equiv__listrel,axiom,
% 184.24/184.07 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.07 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 184.24/184.07 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listrel__refl__on,axiom,
% 184.24/184.07 ! [V_r_2,V_A_2,T_b] :
% 184.24/184.07 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 184.24/184.07 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lists__UNIV,axiom,
% 184.24/184.07 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__in__lists__conv,axiom,
% 184.24/184.07 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2)))
% 184.24/184.07 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 184.24/184.07 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lists__mono,axiom,
% 184.24/184.07 ! [V_B_2,V_A_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Cons__in__lists__iff,axiom,
% 184.24/184.07 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2)))
% 184.24/184.07 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 184.24/184.07 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_in__lists__conv__set,axiom,
% 184.24/184.07 ! [V_A_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 184.24/184.07 <=> ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lists__eq__set,axiom,
% 184.24/184.07 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lists__empty,axiom,
% 184.24/184.07 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lists__accD,axiom,
% 184.24/184.07 ! [V_r_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lexord__append__rightI,axiom,
% 184.24/184.07 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 184.24/184.07 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lexord__Nil__left,axiom,
% 184.24/184.07 ! [V_r_2,V_y_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 184.24/184.07 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__list__update,axiom,
% 184.24/184.07 ! [V_x,V_k,T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 184.24/184.07 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Olast(T_a,V_xs) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listsum__mono,axiom,
% 184.24/184.07 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 184.24/184.07 ( ( class_Groups_Omonoid__add(T_c)
% 184.24/184.07 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 184.24/184.07 => ( ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__append,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_ys] :
% 184.24/184.07 ( ( V_ys = c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 184.24/184.07 & ( V_ys != c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__appendR,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_ys] :
% 184.24/184.07 ( V_ys != c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__appendL,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_ys] :
% 184.24/184.07 ( V_ys = c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last_Osimps,axiom,
% 184.24/184.07 ! [V_x,T_a,V_xs] :
% 184.24/184.07 ( ( V_xs = c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 184.24/184.07 & ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__ConsR,axiom,
% 184.24/184.07 ! [V_x,T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__ConsL,axiom,
% 184.24/184.07 ! [V_x,T_a,V_xs] :
% 184.24/184.07 ( V_xs = c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__map,axiom,
% 184.24/184.07 ! [V_f_2,T_c,T_b,V_xs_2] :
% 184.24/184.07 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 184.24/184.07 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__in__set,axiom,
% 184.24/184.07 ! [T_b,V_as_2] :
% 184.24/184.07 ( V_as_2 != c_List_Olist_ONil(T_b)
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__snoc,axiom,
% 184.24/184.07 ! [V_x,V_xs,T_a] : c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_x ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__drop,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_n] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__conv__nth,axiom,
% 184.24/184.07 ! [T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Olast(T_a,V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lexord__linear,axiom,
% 184.24/184.07 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 184.24/184.07 ( ! [B_a,B_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2))
% 184.24/184.07 | B_a = B_b
% 184.24/184.07 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) )
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 184.24/184.07 | V_x_2 = V_y_2
% 184.24/184.07 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lexord__irreflexive,axiom,
% 184.24/184.07 ! [V_y_2,V_r_2,T_b] :
% 184.24/184.07 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2))
% 184.24/184.07 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_lists_Osimps,axiom,
% 184.24/184.07 ! [V_A_2,V_a_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 184.24/184.07 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 184.24/184.07 | ? [B_a,B_l] :
% 184.24/184.07 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 184.24/184.07 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 184.24/184.07 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_list__size__pointwise,axiom,
% 184.24/184.07 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 184.24/184.07 ( ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_butlast__take,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_n] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__take__lemma,axiom,
% 184.24/184.07 ! [V_ys,V_xs,T_a,V_k] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 184.24/184.07 => ( ! [B_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__butlast,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__butlast,axiom,
% 184.24/184.07 ! [T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 184.24/184.07 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_butlast_Osimps_I1_J,axiom,
% 184.24/184.07 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_in__set__butlastD,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_butlast_Osimps_I2_J,axiom,
% 184.24/184.07 ! [V_x,T_a,V_xs] :
% 184.24/184.07 ( ( V_xs = c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 184.24/184.07 & ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Obutlast(T_a,V_xs)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_butlast__append,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_ys] :
% 184.24/184.07 ( ( V_ys = c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 184.24/184.07 & ( V_ys != c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Obutlast(T_a,V_ys)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_butlast__drop,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__butlast,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_in__set__butlast__appendI,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 184.24/184.07 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_butlast__snoc,axiom,
% 184.24/184.07 ! [V_x,V_xs,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_xs ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__butlast,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_n] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__butlast,axiom,
% 184.24/184.07 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_butlast__conv__take,axiom,
% 184.24/184.07 ! [V_xs,T_a] : c_List_Obutlast(T_a,V_xs) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_butlast__list__update,axiom,
% 184.24/184.07 ! [V_x,V_xs,T_a,V_k] :
% 184.24/184.07 ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 184.24/184.07 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Obutlast(T_a,V_xs) )
% 184.24/184.07 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 184.24/184.07 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = hAPP(hAPP(c_List_Olist__update(T_a,c_List_Obutlast(T_a,V_xs)),V_k),V_x) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_append__butlast__last__id,axiom,
% 184.24/184.07 ! [T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => hAPP(hAPP(c_List_Oappend(T_a),c_List_Obutlast(T_a,V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),c_List_Olast(T_a,V_xs)),c_List_Olist_ONil(T_a))) = V_xs ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_snoc__eq__iff__butlast,axiom,
% 184.24/184.07 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2
% 184.24/184.07 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 184.24/184.07 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 184.24/184.07 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose__aux__max,axiom,
% 184.24/184.07 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_partition__set,axiom,
% 184.24/184.07 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 184.24/184.07 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 184.24/184.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__is__subset,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__filter__le,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__filter,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__append,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sum__length__filter__compl,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter_Osimps_I2_J,axiom,
% 184.24/184.07 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 184.24/184.07 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.07 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) )
% 184.24/184.07 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.07 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__id__conv,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] :
% 184.24/184.07 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 184.24/184.07 <=> ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__insort__triv,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_c)
% 184.24/184.07 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.07 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__filter,axiom,
% 184.24/184.07 ! [V_Pa_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.07 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__remove1,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_remove1__filter__not,axiom,
% 184.24/184.07 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 184.24/184.07 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.07 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__filter,axiom,
% 184.24/184.07 ! [V_xs_2,V_Q_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_Pa_2)),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_partition__filter1,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__empty__conv,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] :
% 184.24/184.07 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 184.24/184.07 <=> ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter_Osimps_I1_J,axiom,
% 184.24/184.07 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_partition__filter__conv,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_partition__filter2,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__map,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__filter__map,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__filter__less,axiom,
% 184.24/184.07 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__minus__filter__out,axiom,
% 184.24/184.07 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_partition__P,axiom,
% 184.24/184.07 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 184.24/184.07 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 184.24/184.07 => ( ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 184.24/184.07 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 184.24/184.07 & ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 184.24/184.07 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_partition_Osimps_I1_J,axiom,
% 184.24/184.07 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__in__sublist,axiom,
% 184.24/184.07 ! [V_s_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.07 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_partition_Osimps_I2_J,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__filter__conv__card,axiom,
% 184.24/184.07 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__filter__def,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omap__filter(T_c,T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_c,c_Option_Othe(T_b)),V_f_2)),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,tc_Option_Ooption(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_c),c_fequal),V_f_2)),c_Option_Ooption_ONone(T_b)))),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose__max__length,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__of__filter__in,axiom,
% 184.24/184.07 ! [V_Pa_2,V_z_2,V_k_2,V_xs_2,T_b,T_c] :
% 184.24/184.07 ( hAPP(c_Map_Omap__of(T_c,T_b,V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_z_2)
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_k_2),V_z_2))
% 184.24/184.07 => hAPP(c_Map_Omap__of(T_c,T_b,hAPP(c_List_Ofilter(tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2)),V_xs_2)),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_z_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose__map__map,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__filter__simps_I1_J,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omap__filter(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(T_b),T_b,c_List_Omap__filter(T_c,T_b,V_f_2,V_xs_2),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Omap__filter(T_c,T_b,V_f_2,V_xs_2))),hAPP(V_f_2,V_x_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__filter__simps_I2_J,axiom,
% 184.24/184.07 ! [V_f_2,T_b,T_c] : c_List_Omap__filter(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose_Osimps_I1_J,axiom,
% 184.24/184.07 ! [T_a] : c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose__empty,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 184.24/184.07 <=> ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.07 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose_Osimps_I2_J,axiom,
% 184.24/184.07 ! [V_xss,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss)) = c_List_Otranspose(T_a,V_xss) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sublist__shift__lemma__Suc,axiom,
% 184.24/184.07 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_select__weigth__drop__zero,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_pick__drop__zero,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__transpose,axiom,
% 184.24/184.07 ! [V_xs_2,T_b,V_i_2] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__transpose,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__filter__map__filter,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) = c_List_Omap__filter(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,tc_Option_Ooption(T_b),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBS(T_c,tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),T_c),c_If(tc_Option_Ooption(T_b))),V_Pa_2)),hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_c),c_Option_Ooption_OSome(T_b)),V_f_2))),c_Option_Ooption_ONone(T_b)),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_insort__key__remove1,axiom,
% 184.24/184.07 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_c)
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 184.24/184.07 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 184.24/184.07 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sublist__def,axiom,
% 184.24/184.07 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted_ONil,axiom,
% 184.24/184.07 ! [T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__single,axiom,
% 184.24/184.07 ! [V_x,T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__same,axiom,
% 184.24/184.07 ! [V_xs_2,V_g_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__map__same,axiom,
% 184.24/184.07 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__filter,axiom,
% 184.24/184.07 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__upt,axiom,
% 184.24/184.07 ! [V_j,V_i] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__upt,axiom,
% 184.24/184.07 ! [V_j,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => c_List_Olast(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__butlast,axiom,
% 184.24/184.07 ! [V_xs,T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_take__upt,axiom,
% 184.24/184.07 ! [V_n,V_m,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)),V_n))
% 184.24/184.07 => hAPP(hAPP(c_List_Otake(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_n)) = c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upt__conv__Nil,axiom,
% 184.24/184.07 ! [V_i,V_j] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 184.24/184.07 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upt__eq__Nil__conv,axiom,
% 184.24/184.07 ! [V_j_2,V_i_2] :
% 184.24/184.07 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 184.24/184.07 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 184.24/184.07 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__many__eq,axiom,
% 184.24/184.07 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)))
% 184.24/184.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 184.24/184.07 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__many,axiom,
% 184.24/184.07 ! [V_zs,V_y,V_x,T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upt__add__eq__append,axiom,
% 184.24/184.07 ! [V_k,V_j,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),c_List_Oupt(V_j,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upt__Suc__append,axiom,
% 184.24/184.07 ! [V_j,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upt__Suc,axiom,
% 184.24/184.07 ! [V_j,V_i] :
% 184.24/184.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) )
% 184.24/184.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__Cons,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 184.24/184.07 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 184.24/184.07 & ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__append,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 184.24/184.07 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 184.24/184.07 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 184.24/184.07 & ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => ! [B_xa] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_drop__upt,axiom,
% 184.24/184.07 ! [V_j,V_i,V_m] : hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_j)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m),V_j) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__drop,axiom,
% 184.24/184.07 ! [V_n,V_xs,T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_hd__upt,axiom,
% 184.24/184.07 ! [V_j,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__insort__insert,axiom,
% 184.24/184.07 ! [V_x_2,V_xs_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upt__rec,axiom,
% 184.24/184.07 ! [V_j,V_i] :
% 184.24/184.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) )
% 184.24/184.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upt__conv__Cons,axiom,
% 184.24/184.07 ! [V_j,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_atLeastLessThan__upt,axiom,
% 184.24/184.07 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__upt,axiom,
% 184.24/184.07 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__distinct__set__unique,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 184.24/184.07 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 184.24/184.07 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 184.24/184.07 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 184.24/184.07 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__insort,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2))
% 184.24/184.07 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__upt,axiom,
% 184.24/184.07 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__remove1,axiom,
% 184.24/184.07 ! [V_a,V_xs,T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__upt,axiom,
% 184.24/184.07 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__upto,axiom,
% 184.24/184.07 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__list__of__set__range,axiom,
% 184.24/184.07 ! [V_n_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = c_List_Oupt(V_m_2,V_n_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upt__0,axiom,
% 184.24/184.07 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted_Oequations_I1_J,axiom,
% 184.24/184.07 ! [T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__take,axiom,
% 184.24/184.07 ! [V_n,V_xs,T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__tl,axiom,
% 184.24/184.07 ! [V_xs,T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upt__rec__number__of,axiom,
% 184.24/184.07 ! [V_n,V_m] :
% 184.24/184.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 184.24/184.07 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) )
% 184.24/184.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 184.24/184.07 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__insort__key,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)))
% 184.24/184.07 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__map__remove1,axiom,
% 184.24/184.07 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__Suc__upt,axiom,
% 184.24/184.07 ! [V_n_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_n_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__insort__insert__key,axiom,
% 184.24/184.07 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_upt__eq__Cons__conv,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 184.24/184.07 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 184.24/184.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 184.24/184.07 & V_i_2 = V_x_2
% 184.24/184.07 & c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_j_2) = V_xs_2 ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__insort,axiom,
% 184.24/184.07 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 184.24/184.07 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.07 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__nth,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ).
% 184.24/184.07
% 184.24/184.07 fof(fact_atLeastAtMost__upt,axiom,
% 184.24/184.07 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_n_2,hAPP(c_Nat_OSuc,V_m_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_atLeast__upt,axiom,
% 184.24/184.07 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 184.24/184.07 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 184.24/184.07 ( class_Groups_Ocomm__monoid__add(T_b)
% 184.24/184.07 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 184.24/184.07 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 184.24/184.07 ( class_Groups_Ocomm__monoid__add(T_b)
% 184.24/184.07 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__upt,axiom,
% 184.24/184.07 ! [V_j,V_k,V_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_greaterThanAtMost__upt,axiom,
% 184.24/184.07 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted_Oequations_I2_J,axiom,
% 184.24/184.07 ! [V_a1_2,V_a2_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 184.24/184.07 <=> ( ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 184.24/184.07 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_greaterThanLessThan__upt,axiom,
% 184.24/184.07 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),V_m_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__map__upt,axiom,
% 184.24/184.07 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2)))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__list__of__set,axiom,
% 184.24/184.07 ! [V_A_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 184.24/184.07 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 184.24/184.07 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 184.24/184.07 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_atMost__upto,axiom,
% 184.24/184.07 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_insort__remove1,axiom,
% 184.24/184.07 ! [V_xs_2,V_a_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 184.24/184.07 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__nth__mono,axiom,
% 184.24/184.07 ! [V_j,V_i,V_xs,T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j))) ) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__equals__nth__mono,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 184.24/184.07 <=> ! [B_j] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.07 => ! [B_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__sorted__distinct__set__unique,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_c)
% 184.24/184.07 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 184.24/184.07 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 184.24/184.07 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 184.24/184.07 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 184.24/184.07 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sublist__shift__lemma,axiom,
% 184.24/184.07 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose__rectangle,axiom,
% 184.24/184.07 ! [V_n_2,T_b,V_xs_2] :
% 184.24/184.07 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 184.24/184.07 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 184.24/184.07 => ( ! [B_i] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 184.24/184.07 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 )
% 184.24/184.07 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose_Opsimps_I2_J,axiom,
% 184.24/184.07 ! [V_xss_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)))
% 184.24/184.07 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose_Opsimps_I1_J,axiom,
% 184.24/184.07 ! [T_b] :
% 184.24/184.07 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b))))
% 184.24/184.07 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose__column,axiom,
% 184.24/184.07 ! [V_i_2,V_xs_2,T_b] :
% 184.24/184.07 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 184.24/184.07 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose__aux__filter__head,axiom,
% 184.24/184.07 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_inj__on__rev,axiom,
% 184.24/184.07 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__concat,axiom,
% 184.24/184.07 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__concat,axiom,
% 184.24/184.07 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__eq__Cons__iff,axiom,
% 184.24/184.07 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 184.24/184.07 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev_Osimps_I2_J,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_concat_Osimps_I2_J,axiom,
% 184.24/184.07 ! [V_xs,V_x,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),V_x),c_List_Oconcat(T_a,V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__singleton__conv,axiom,
% 184.24/184.07 ! [V_x_2,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))
% 184.24/184.07 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_singleton__rev__conv,axiom,
% 184.24/184.07 ! [V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2)
% 184.24/184.07 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_concat__eq__Nil__conv,axiom,
% 184.24/184.07 ! [V_xss_2,T_b] :
% 184.24/184.07 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 184.24/184.07 <=> ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 184.24/184.07 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Nil__eq__concat__conv,axiom,
% 184.24/184.07 ! [V_xss_2,T_b] :
% 184.24/184.07 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 184.24/184.07 <=> ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 184.24/184.07 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev_Osimps_I1_J,axiom,
% 184.24/184.07 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_concat_Osimps_I1_J,axiom,
% 184.24/184.07 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_Nil__is__rev__conv,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 184.24/184.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__is__Nil__conv,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 184.24/184.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__concat,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__map,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__concat,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_concat__conv__foldl,axiom,
% 184.24/184.07 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__foldl__cons,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldl__conv__concat,axiom,
% 184.24/184.07 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__rev,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 184.24/184.07 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__append,axiom,
% 184.24/184.07 ! [V_ys,V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_concat__append,axiom,
% 184.24/184.07 ! [V_ys,V_xs,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Oappend(tc_List_Olist(T_a)),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oconcat(T_a,V_xs)),c_List_Oconcat(T_a,V_ys)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__concat,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__rev,axiom,
% 184.24/184.07 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_listsum__rev,axiom,
% 184.24/184.07 ! [V_xs,T_a] :
% 184.24/184.07 ( class_Groups_Ocomm__monoid__add(T_a)
% 184.24/184.07 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__is__rev__conv,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 184.24/184.07 <=> V_xs_2 = V_ys_2 ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__swap,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 184.24/184.07 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__rev__ident,axiom,
% 184.24/184.07 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldr__foldl,axiom,
% 184.24/184.07 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldl__foldr,axiom,
% 184.24/184.07 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__rev,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_zip__rev,axiom,
% 184.24/184.07 ! [V_ys,T_b,V_xs,T_a] :
% 184.24/184.07 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)
% 184.24/184.07 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(c_List_Orev(T_a),V_xs)),hAPP(c_List_Orev(T_b),V_ys)) = hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__filter,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_last__rev,axiom,
% 184.24/184.07 ! [T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_hd__rev,axiom,
% 184.24/184.07 ! [T_a,V_xs] :
% 184.24/184.07 ( V_xs != c_List_Olist_ONil(T_a)
% 184.24/184.07 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__transpose,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__take,axiom,
% 184.24/184.07 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__drop,axiom,
% 184.24/184.07 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rotate__rev,axiom,
% 184.24/184.07 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))),V_xs)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose_Osimps_I3_J,axiom,
% 184.24/184.07 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__nth,axiom,
% 184.24/184.07 ! [V_xs,T_a,V_n] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(T_a),hAPP(c_List_Orev(T_a),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_concat__injective,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 184.24/184.07 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 184.24/184.07 => ( ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 184.24/184.07 => V_xs_2 = V_ys_2 ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_concat__eq__concat__iff,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,T_b] :
% 184.24/184.07 ( ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 184.24/184.07 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 184.24/184.07 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 184.24/184.07 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_rev__update,axiom,
% 184.24/184.07 ! [V_y,V_xs,T_a,V_k] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_y)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_k)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_y) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_concat__map__singleton,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__rev__nth__mono,axiom,
% 184.24/184.07 ! [V_j,V_i,V_xs,T_a] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_a)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 184.24/184.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i))) ) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_foldr__max__sorted,axiom,
% 184.24/184.07 ! [V_y_2,V_xs_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 184.24/184.07 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 184.24/184.07 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 184.24/184.07 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 184.24/184.07 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose_Opsimps_I3_J,axiom,
% 184.24/184.07 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)))
% 184.24/184.07 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__transpose__sorted,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 184.24/184.07 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 184.24/184.07 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 184.24/184.07 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 184.24/184.07 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose__column__length,axiom,
% 184.24/184.07 ! [V_i_2,V_xs_2,T_b] :
% 184.24/184.07 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 184.24/184.07 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose__aux__filter__tail,axiom,
% 184.24/184.07 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__nth__transpose__sorted,axiom,
% 184.24/184.07 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 184.24/184.07 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2))))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transpose__transpose,axiom,
% 184.24/184.07 ! [V_xs_2,T_b] :
% 184.24/184.07 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 184.24/184.07 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 184.24/184.07 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_takeWhile__map,axiom,
% 184.24/184.07 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_return__list__def,axiom,
% 184.24/184.07 ! [V_l_2] : c_List_Oreturn__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_l_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_zip__takeWhile__snd,axiom,
% 184.24/184.07 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_zip__takeWhile__fst,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_set__takeWhileD,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 184.24/184.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_takeWhile__eq__all__conv,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] :
% 184.24/184.07 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 184.24/184.07 <=> ! [B_x] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__takeWhile__le,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_takeWhile__eq__take,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__takeWhile,axiom,
% 184.24/184.07 ! [V_Pa_2,V_xs_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.07 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 184.24/184.07 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_sorted__takeWhile,axiom,
% 184.24/184.07 ! [V_Pa_2,V_xs_2,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 184.24/184.07 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 184.24/184.07 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 184.24/184.07 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.07 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) )
% 184.24/184.07 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.07 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_takeWhile__tail,axiom,
% 184.24/184.07 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 184.24/184.07 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.07 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_takeWhile__append1,axiom,
% 184.24/184.07 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 184.24/184.07 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 184.24/184.07 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_nth__length__takeWhile,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 184.24/184.07 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_takeWhile__nth,axiom,
% 184.24/184.07 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 184.24/184.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 184.24/184.07 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_map__upds__def,axiom,
% 184.24/184.07 ! [V_ys_2,V_xs_2,V_m_2,T_c,T_b] : c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2) = c_Map_Omap__add(T_b,T_c,V_m_2,c_Map_Omap__of(T_b,T_c,hAPP(c_List_Orev(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_takeWhile__not__last,axiom,
% 184.24/184.07 ! [T_b,V_xs_2] :
% 184.24/184.07 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 184.24/184.07 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 184.24/184.07 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 184.24/184.07 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 184.24/184.07 ( class_Orderings_Olinorder(T_b)
% 184.24/184.07 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 184.24/184.07 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 184.24/184.07 ! [V_l] :
% 184.24/184.07 ( c_List_Onat__list(V_l)
% 184.24/184.07 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__remdups__concat,axiom,
% 184.24/184.07 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_distinct__remdups,axiom,
% 184.24/184.07 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 184.24/184.07
% 184.24/184.07 fof(fact_length__remdups__leq,axiom,
% 184.24/184.07 ! [V_xs,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ).
% 184.24/184.07
% 184.24/184.07 %----Arity declarations (201)
% 184.24/184.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 184.24/184.07 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Lattices_Obounded__lattice(T_1)
% 184.24/184.07 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 184.24/184.07 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Lattices_Obounded__lattice(T_1)
% 184.24/184.07 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Lattices_Obounded__lattice(T_1)
% 184.24/184.07 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Lattices_Olattice(T_1)
% 184.24/184.07 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Lattices_Olattice(T_1)
% 184.24/184.07 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Lattices_Odistrib__lattice(T_1)
% 184.24/184.07 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Lattices_Oboolean__algebra(T_1)
% 184.24/184.07 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Orderings_Opreorder,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Orderings_Opreorder(T_1)
% 184.24/184.07 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 184.24/184.07 ! [T_1,T_2] :
% 184.24/184.07 ( ( class_Finite__Set_Ofinite(T_2)
% 184.24/184.07 & class_Finite__Set_Ofinite(T_1) )
% 184.24/184.07 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Lattices_Olattice,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Lattices_Olattice(T_1)
% 184.24/184.07 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Orderings_Oorder,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Orderings_Oorder(T_1)
% 184.24/184.07 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Orderings_Otop,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Orderings_Otop(T_1)
% 184.24/184.07 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Orderings_Oord,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Orderings_Oord(T_1)
% 184.24/184.07 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Orderings_Obot,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Orderings_Obot(T_1)
% 184.24/184.07 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Groups_Ouminus,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Groups_Ouminus(T_1)
% 184.24/184.07 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_fun__Groups_Ominus,axiom,
% 184.24/184.07 ! [T_2,T_1] :
% 184.24/184.07 ( class_Groups_Ominus(T_1)
% 184.24/184.07 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 184.24/184.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 184.24/184.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 184.24/184.07 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 184.24/184.07 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 184.24/184.07 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 184.24/184.07 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 184.24/184.07 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 184.24/184.07 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 184.24/184.07 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 184.24/184.07 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 184.24/184.07 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 184.24/184.07 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 184.24/184.07 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 184.24/184.07 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 184.24/184.07 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 184.24/184.07 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 184.24/184.07 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 184.24/184.07 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 184.24/184.07 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 184.24/184.07 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 184.24/184.07 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 184.24/184.07 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 184.24/184.07 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 184.24/184.07 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 184.24/184.07 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 184.24/184.07 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 184.24/184.07 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 184.24/184.07 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 184.24/184.07 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 184.24/184.07 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 184.24/184.07 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 184.24/184.07 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 184.24/184.07 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 184.24/184.07 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 184.24/184.07 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 184.24/184.07 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 184.24/184.07 class_Orderings_Opreorder(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 184.24/184.07 class_Orderings_Olinorder(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 184.24/184.07 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 184.24/184.07 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 184.24/184.07 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Smallcheck_Osmall,axiom,
% 184.24/184.07 class_Smallcheck_Osmall(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 184.24/184.07 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 184.24/184.07 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 184.24/184.07 class_Lattices_Olattice(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 184.24/184.07 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 184.24/184.07 class_Divides_Oring__div(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 184.24/184.07 class_Rings_Omult__zero(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 184.24/184.07 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 184.24/184.07 class_Orderings_Oorder(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 184.24/184.07 class_Int_Oring__char__0(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 184.24/184.07 class_Int_Onumber__ring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 184.24/184.07 class_Rings_Osemiring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 184.24/184.07 class_Orderings_Oord(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 184.24/184.07 class_Groups_Ouminus(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 184.24/184.07 class_Groups_Osgn__if(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 184.24/184.07 class_Groups_Oabs__if(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 184.24/184.07 class_Rings_Oring__1(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 184.24/184.07 class_Groups_Ominus(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Power_Opower,axiom,
% 184.24/184.07 class_Power_Opower(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 184.24/184.07 class_Groups_Ozero(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Oring,axiom,
% 184.24/184.07 class_Rings_Oring(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 184.24/184.07 class_Rings_Oidom(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Int_Onumber,axiom,
% 184.24/184.07 class_Int_Onumber(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Groups_Oone,axiom,
% 184.24/184.07 class_Groups_Oone(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 184.24/184.07 class_Rings_Odvd(tc_Int_Oint) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 184.24/184.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 184.24/184.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 184.24/184.07 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 184.24/184.07 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 184.24/184.07 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 184.24/184.07 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 184.24/184.07 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 184.24/184.07 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 184.24/184.07 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 184.24/184.07 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 184.24/184.07 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 184.24/184.07 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 184.24/184.07 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 184.24/184.07 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 184.24/184.07 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 184.24/184.07 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 184.24/184.07 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 184.24/184.07 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 184.24/184.07 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 184.24/184.07 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 184.24/184.07 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 184.24/184.07 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 184.24/184.07 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 184.24/184.07 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 184.24/184.07 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 184.24/184.07 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 184.24/184.07 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 184.24/184.07 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 184.24/184.07 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 184.24/184.07 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 184.24/184.07 class_Lattices_Olattice(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 184.24/184.07 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 184.24/184.07 class_Orderings_Oorder(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 184.24/184.07 class_Rings_Osemiring(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 184.24/184.07 class_Orderings_Oord(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 184.24/184.07 class_Orderings_Obot(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 184.24/184.07 class_Groups_Ominus(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Power_Opower,axiom,
% 184.24/184.07 class_Power_Opower(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 184.24/184.07 class_Groups_Ozero(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 184.24/184.07 class_Int_Onumber(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 184.24/184.07 class_Groups_Oone(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 184.24/184.07 class_Rings_Odvd(tc_Nat_Onat) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 184.24/184.07 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 184.24/184.07 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 184.24/184.07 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 184.24/184.07 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 184.24/184.07 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 184.24/184.07 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 184.24/184.07 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 184.24/184.07 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 184.24/184.07 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 184.24/184.07 class_Lattices_Olattice(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 184.24/184.07 class_Orderings_Oorder(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 184.24/184.07 class_Orderings_Otop(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 184.24/184.07 class_Orderings_Oord(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 184.24/184.07 class_Orderings_Obot(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 184.24/184.07 class_Groups_Ouminus(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 184.24/184.07 class_Groups_Ominus(tc_HOL_Obool) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 184.24/184.07 ! [T_1,T_2] :
% 184.24/184.07 ( ( class_Finite__Set_Ofinite(T_2)
% 184.24/184.07 & class_Finite__Set_Ofinite(T_1) )
% 184.24/184.07 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 184.24/184.07 ! [T_1] :
% 184.24/184.07 ( class_Finite__Set_Ofinite(T_1)
% 184.24/184.07 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 184.24/184.07 ! [T_1,T_2] :
% 184.24/184.07 ( ( class_Finite__Set_Ofinite(T_2)
% 184.24/184.07 & class_Finite__Set_Ofinite(T_1) )
% 184.24/184.07 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_prod__Smallcheck_Osmall,axiom,
% 184.24/184.07 ! [T_1,T_2] :
% 184.24/184.07 ( ( class_Smallcheck_Osmall(T_2)
% 184.24/184.07 & class_Smallcheck_Osmall(T_1) )
% 184.24/184.07 => class_Smallcheck_Osmall(tc_prod(T_2,T_1)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 184.24/184.07 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Product____Type__Ounit__Smallcheck_Osmall,axiom,
% 184.24/184.07 class_Smallcheck_Osmall(tc_Product__Type_Ounit) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 184.24/184.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 184.24/184.07 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 184.24/184.07 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 184.24/184.07 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 184.24/184.07 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 184.24/184.07 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 184.24/184.07 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 184.24/184.07 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 184.24/184.07 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 184.24/184.07 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 184.24/184.07 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 184.24/184.07 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 184.24/184.07 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 184.24/184.07 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 184.24/184.07 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 184.24/184.07 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 184.24/184.07 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 184.24/184.07 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 184.24/184.07 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 184.24/184.07 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 184.24/184.07 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 184.24/184.07 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 184.24/184.07 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 184.24/184.07 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 184.24/184.07 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 184.24/184.07 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 184.24/184.07 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 184.24/184.07 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 184.24/184.07 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 184.24/184.07 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 184.24/184.07 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 184.24/184.07 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 184.24/184.07 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 184.24/184.07 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 184.24/184.07 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 184.24/184.07 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 184.24/184.07
% 184.24/184.07 %----Helper facts (20)
% 184.24/184.07 fof(help_c__COMBI__1,axiom,
% 184.24/184.07 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__COMBK__1,axiom,
% 184.24/184.07 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__COMBB__1,axiom,
% 184.24/184.07 ! [V_R_2,V_Q_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Q_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Q_2,V_R_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__COMBC__1,axiom,
% 184.24/184.07 ! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Q_2) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__COMBS__1,axiom,
% 184.24/184.07 ! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Q_2,V_R_2)) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fequal__1,axiom,
% 184.24/184.07 ! [V_y_2,V_x_2] :
% 184.24/184.07 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 184.24/184.07 | V_x_2 = V_y_2 ) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fequal__2,axiom,
% 184.24/184.07 ! [V_y_2,V_x_2] :
% 184.24/184.07 ( V_x_2 != V_y_2
% 184.24/184.07 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fFalse__1,axiom,
% 184.24/184.07 ~ hBOOL(c_fFalse) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fTrue__1,axiom,
% 184.24/184.07 hBOOL(c_fTrue) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fNot__1,axiom,
% 184.24/184.07 ! [V_Pa_2] :
% 184.24/184.07 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 184.24/184.07 | ~ hBOOL(V_Pa_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fNot__2,axiom,
% 184.24/184.07 ! [V_Pa_2] :
% 184.24/184.07 ( ~ ~ hBOOL(V_Pa_2)
% 184.24/184.07 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fconj__1,axiom,
% 184.24/184.07 ! [V_Q_2,V_Pa_2] :
% 184.24/184.07 ( ~ hBOOL(V_Pa_2)
% 184.24/184.07 | ~ hBOOL(V_Q_2)
% 184.24/184.07 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fconj__2,axiom,
% 184.24/184.07 ! [V_Q_2,V_Pa_2] :
% 184.24/184.07 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 184.24/184.07 | hBOOL(V_Pa_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fconj__3,axiom,
% 184.24/184.07 ! [V_Q_2,V_Pa_2] :
% 184.24/184.07 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 184.24/184.07 | hBOOL(V_Q_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fdisj__1,axiom,
% 184.24/184.07 ! [V_Q_2,V_Pa_2] :
% 184.24/184.07 ( ~ hBOOL(V_Pa_2)
% 184.24/184.07 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fdisj__2,axiom,
% 184.24/184.07 ! [V_Pa_2,V_Q_2] :
% 184.24/184.07 ( ~ hBOOL(V_Q_2)
% 184.24/184.07 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fdisj__3,axiom,
% 184.24/184.07 ! [V_Q_2,V_Pa_2] :
% 184.24/184.07 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2))
% 184.24/184.07 | hBOOL(V_Pa_2)
% 184.24/184.07 | hBOOL(V_Q_2) ) ).
% 184.24/184.07
% 184.24/184.07 fof(help_c__fimplies__1,axiom,
% 184.24/184.07 ! [V_Q_2,V_Pa_2] :
% 184.24/184.07 ( hBOOL(V_Pa_2)
% 184.24/184.07 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 184.24/184.08
% 184.24/184.08 fof(help_c__fimplies__2,axiom,
% 184.24/184.08 ! [V_Pa_2,V_Q_2] :
% 184.24/184.08 ( ~ hBOOL(V_Q_2)
% 184.24/184.08 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 184.24/184.08
% 184.24/184.08 fof(help_c__fimplies__3,axiom,
% 184.24/184.08 ! [V_Q_2,V_Pa_2] :
% 184.24/184.08 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2))
% 184.24/184.08 | ~ hBOOL(V_Pa_2)
% 184.24/184.08 | hBOOL(V_Q_2) ) ).
% 184.24/184.08
% 184.24/184.08 %----Conjectures (3)
% 184.24/184.08 fof(conj_0,hypothesis,
% 184.24/184.08 ! [B_n] :
% 184.24/184.08 ( ! [B_x] :
% 184.24/184.08 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
% 184.24/184.08 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
% 184.24/184.08 => ! [B_Z,B_s] :
% 184.24/184.08 ( ( v_P(B_Z,B_s)
% 184.24/184.08 & hBOOL(hAPP(v_b,B_s)) )
% 184.24/184.08 => ! [B_s_H] :
% 184.24/184.08 ( c_Natural_Oevaln(v_c,B_s,B_n,B_s_H)
% 184.24/184.08 => v_P(B_Z,B_s_H) ) ) ) ).
% 184.24/184.08
% 184.24/184.08 fof(conj_1,hypothesis,
% 184.24/184.08 ! [B_s,B_s_H] :
% 184.24/184.08 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),B_s,v_n,B_s_H)
% 184.24/184.08 => ( ! [B_x] :
% 184.24/184.08 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
% 184.24/184.08 => c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,B_x) )
% 184.24/184.08 => ! [B_Z] :
% 184.24/184.08 ( v_P(B_Z,B_s)
% 184.24/184.08 => ( v_P(B_Z,B_s_H)
% 184.24/184.08 & ~ hBOOL(hAPP(v_b,B_s_H)) ) ) ) ) ).
% 184.24/184.08
% 184.24/184.08 fof(conj_2,conjecture,
% 184.24/184.08 ( ! [B_x] :
% 184.24/184.08 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
% 184.24/184.08 => c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,B_x) )
% 184.24/184.08 => ! [B_Z,B_s] :
% 184.24/184.08 ( v_P(B_Z,B_s)
% 184.24/184.08 => ! [B_s_H] :
% 184.24/184.08 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),B_s,v_n,B_s_H)
% 184.24/184.08 => ( v_P(B_Z,B_s_H)
% 184.24/184.08 & ~ hBOOL(hAPP(v_b,B_s_H)) ) ) ) ) ).
% 184.24/184.08
% 184.24/184.08 %------------------------------------------------------------------------------
% 184.24/184.08 %-------------------------------------------
% 184.24/184.08 % Proof found
% 184.24/184.08 % SZS status Theorem for theBenchmark
% 184.24/184.08 % SZS output start Proof
% 184.24/184.08 %ClaNum:10041(EqnAxiom:2805)
% 184.24/184.08 %VarNum:68161(SingletonVarNum:20227)
% 184.24/184.08 %MaxLitNum:8
% 184.24/184.08 %MaxfuncDepth:13
% 184.24/184.08 %SharedTerms:1059
% 184.24/184.08 %goalClause: 3003 3440 4565 5464
% 184.24/184.08 %singleGoalClaCount:2
% 184.24/184.08 [2809]P1(a177)
% 184.24/184.08 [2810]P2(a850)
% 184.24/184.08 [2811]P2(a1)
% 184.24/184.08 [2812]P2(a101)
% 184.24/184.08 [2813]P3(a850)
% 184.24/184.08 [2814]P3(a1)
% 184.24/184.08 [2815]P3(a101)
% 184.24/184.08 [2816]P4(a850)
% 184.24/184.08 [2817]P4(a1)
% 184.24/184.08 [2818]P4(a101)
% 184.24/184.08 [2819]P5(a850)
% 184.24/184.08 [2820]P5(a1)
% 184.24/184.08 [2821]P5(a101)
% 184.24/184.08 [2822]P66(a850)
% 184.24/184.08 [2823]P66(a1)
% 184.24/184.08 [2824]P66(a101)
% 184.24/184.08 [2825]P67(a850)
% 184.24/184.08 [2826]P67(a1)
% 184.24/184.08 [2827]P67(a101)
% 184.24/184.08 [2828]P68(a1)
% 184.24/184.08 [2829]P73(a850)
% 184.24/184.08 [2830]P73(a1)
% 184.24/184.08 [2831]P73(a101)
% 184.24/184.08 [2832]P137(a850)
% 184.24/184.08 [2833]P137(a1)
% 184.24/184.08 [2834]P85(a850)
% 184.24/184.08 [2835]P85(a1)
% 184.24/184.08 [2836]P85(a101)
% 184.24/184.08 [2837]P74(a850)
% 184.24/184.08 [2838]P74(a1)
% 184.24/184.08 [2839]P74(a101)
% 184.24/184.08 [2840]P80(a850)
% 184.24/184.08 [2841]P80(a1)
% 184.24/184.08 [2842]P80(a101)
% 184.24/184.08 [2843]P110(a1)
% 184.24/184.08 [2844]P81(a850)
% 184.24/184.08 [2845]P81(a1)
% 184.24/184.08 [2846]P81(a101)
% 184.24/184.08 [2847]P117(a850)
% 184.24/184.08 [2848]P117(a1)
% 184.24/184.08 [2849]P117(a101)
% 184.24/184.08 [2850]P86(a850)
% 184.24/184.08 [2851]P86(a1)
% 184.24/184.08 [2852]P86(a101)
% 184.24/184.08 [2853]P99(a850)
% 184.24/184.08 [2854]P99(a844)
% 184.24/184.08 [2855]P99(a1)
% 184.24/184.08 [2856]P99(a101)
% 184.24/184.08 [2857]P103(a850)
% 184.24/184.08 [2858]P103(a844)
% 184.24/184.08 [2859]P103(a1)
% 184.24/184.08 [2860]P103(a101)
% 184.24/184.08 [2861]P100(a850)
% 184.24/184.08 [2862]P100(a1)
% 184.24/184.08 [2863]P100(a101)
% 184.24/184.08 [2864]P102(a850)
% 184.24/184.08 [2865]P102(a844)
% 184.24/184.08 [2866]P102(a1)
% 184.24/184.08 [2867]P102(a101)
% 184.24/184.08 [2868]P111(a1)
% 184.24/184.08 [2869]P120(a1)
% 184.24/184.08 [2870]P121(a1)
% 184.24/184.08 [2871]P64(a850)
% 184.24/184.08 [2872]P64(a1)
% 184.24/184.08 [2873]P64(a101)
% 184.24/184.08 [2874]P69(a1)
% 184.24/184.08 [2875]P70(a850)
% 184.24/184.08 [2876]P70(a1)
% 184.24/184.08 [2877]P70(a101)
% 184.24/184.08 [2878]P75(a850)
% 184.24/184.08 [2879]P75(a1)
% 184.24/184.08 [2880]P75(a101)
% 184.24/184.08 [2881]P76(a850)
% 184.24/184.08 [2882]P76(a1)
% 184.24/184.08 [2883]P76(a101)
% 184.24/184.08 [2884]P87(a1)
% 184.24/184.08 [2885]P133(a1)
% 184.24/184.08 [2886]P104(a1)
% 184.24/184.08 [2887]P77(a1)
% 184.24/184.08 [2888]P6(a1)
% 184.24/184.08 [2889]P122(a850)
% 184.24/184.08 [2890]P122(a1)
% 184.24/184.08 [2891]P122(a101)
% 184.24/184.08 [2892]P134(a1)
% 184.24/184.08 [2893]P127(a850)
% 184.24/184.08 [2894]P127(a1)
% 184.24/184.08 [2895]P127(a101)
% 184.24/184.08 [2896]P138(a850)
% 184.24/184.08 [2897]P138(a1)
% 184.24/184.08 [2898]P138(a101)
% 184.24/184.08 [2899]P109(a850)
% 184.24/184.08 [2900]P109(a1)
% 184.24/184.08 [2901]P109(a101)
% 184.24/184.08 [2902]P135(a850)
% 184.24/184.08 [2903]P135(a1)
% 184.24/184.08 [2904]P135(a101)
% 184.24/184.08 [2905]P118(a1)
% 184.24/184.08 [2906]P119(a1)
% 184.24/184.08 [2907]P123(a850)
% 184.24/184.08 [2908]P123(a1)
% 184.24/184.08 [2909]P123(a101)
% 184.24/184.08 [2910]P115(a850)
% 184.24/184.08 [2911]P115(a1)
% 184.24/184.08 [2912]P115(a101)
% 184.24/184.08 [2913]P82(a1)
% 184.24/184.08 [2914]P124(a1)
% 184.24/184.08 [2915]P78(a850)
% 184.24/184.08 [2916]P78(a1)
% 184.24/184.08 [2917]P78(a101)
% 184.24/184.08 [2918]P128(a850)
% 184.24/184.08 [2919]P128(a1)
% 184.24/184.08 [2920]P128(a101)
% 184.24/184.08 [2921]P129(a1)
% 184.24/184.08 [2922]P131(a850)
% 184.24/184.08 [2923]P131(a1)
% 184.24/184.08 [2924]P131(a101)
% 184.24/184.08 [2925]P130(a850)
% 184.24/184.08 [2926]P130(a1)
% 184.24/184.08 [2927]P130(a101)
% 184.24/184.08 [2928]P125(a850)
% 184.24/184.08 [2929]P125(a1)
% 184.24/184.08 [2930]P125(a101)
% 184.24/184.08 [2931]P126(a1)
% 184.24/184.08 [2932]P90(a844)
% 184.24/184.08 [2933]P7(a850)
% 184.24/184.08 [2934]P7(a1)
% 184.24/184.08 [2935]P7(a101)
% 184.24/184.08 [2936]P8(a1)
% 184.24/184.08 [2937]P84(a844)
% 184.24/184.08 [2938]P84(a1)
% 184.24/184.08 [2939]P71(a850)
% 184.24/184.08 [2940]P71(a844)
% 184.24/184.08 [2941]P71(a1)
% 184.24/184.08 [2942]P71(a101)
% 184.24/184.08 [2943]P88(a1)
% 184.24/184.08 [2944]P79(a1)
% 184.24/184.08 [2945]P89(a850)
% 184.24/184.08 [2946]P89(a1)
% 184.24/184.08 [2947]P89(a101)
% 184.24/184.08 [2948]P132(a1)
% 184.24/184.08 [2949]P65(a1)
% 184.24/184.08 [2950]P105(a850)
% 184.24/184.08 [2951]P105(a1)
% 184.24/184.08 [2952]P105(a101)
% 184.24/184.08 [2953]P136(a850)
% 184.24/184.08 [2954]P136(a1)
% 184.24/184.08 [2955]P136(a101)
% 184.24/184.08 [2956]P112(a850)
% 184.24/184.08 [2957]P112(a1)
% 184.24/184.08 [2958]P112(a101)
% 184.24/184.08 [2959]P108(a1)
% 184.24/184.08 [2960]P92(a850)
% 184.24/184.08 [2961]P92(a844)
% 184.24/184.08 [2962]P92(a1)
% 184.24/184.08 [2963]P93(a850)
% 184.24/184.08 [2964]P93(a844)
% 184.24/184.08 [2965]P93(a1)
% 184.24/184.08 [2966]P9(a844)
% 184.24/184.08 [2967]P106(a844)
% 184.24/184.08 [2968]P94(a844)
% 184.24/184.08 [2969]P59(a844)
% 184.24/184.08 [2970]P59(a853)
% 184.24/184.08 [2971]P101(a850)
% 184.24/184.08 [2972]P101(a844)
% 184.24/184.08 [2973]P95(a844)
% 184.24/184.08 [2974]P97(a850)
% 184.24/184.08 [2975]P97(a844)
% 184.24/184.08 [2976]P97(a1)
% 184.24/184.08 [2977]P98(a850)
% 184.24/184.08 [2978]P98(a844)
% 184.24/184.08 [2979]P98(a1)
% 184.24/184.08 [2980]P72(a850)
% 184.24/184.08 [2981]P72(a1)
% 184.24/184.08 [2982]P72(a101)
% 184.24/184.08 [2983]P107(a850)
% 184.24/184.08 [2984]P139(a1)
% 184.24/184.08 [2985]P139(a853)
% 184.24/184.08 [2986]P83(a850)
% 184.24/184.08 [2987]P83(a1)
% 184.24/184.08 [2988]P83(a101)
% 184.24/184.08 [2989]P96(a844)
% 184.24/184.08 [3001]P36(a850,a237)
% 184.24/184.08 [3002]P36(a850,a323)
% 184.24/184.08 [3003]P142(a329,a774)
% 184.24/184.08 [4359]~E(a99,a85)
% 184.24/184.08 [4360]~P1(a178)
% 184.24/184.08 [2806]E(f2(a1),a85)
% 184.24/184.08 [2807]E(f3(a101),a4)
% 184.24/184.08 [2808]E(f102(a101),a5)
% 184.24/184.08 [2990]E(f34(a25),f2(a850))
% 184.24/184.08 [2991]E(f86(a177),f2(a850))
% 184.24/184.08 [2992]E(f86(a178),f2(a850))
% 184.24/184.08 [2993]E(f179(a850),f103(a850))
% 184.24/184.08 [2994]E(f180(a850),f2(a850))
% 184.24/184.08 [2995]E(f236(a850),f104(a850))
% 184.24/184.08 [2996]E(f105(a1),f39(a1))
% 184.24/184.08 [2997]P10(f2(a1))
% 184.24/184.08 [2998]P10(f80(a1))
% 184.24/184.08 [3041]P1(f775(a26,a25))
% 184.24/184.08 [3050]P36(f856(a850,a850),a40)
% 184.24/184.08 [3079]E(f166(a846,a845,a29),a30)
% 184.24/184.08 [3391]E(f325(a850,a850,a237,a237),a40)
% 184.24/184.08 [3440]P39(f35(a859,a861),a774,a862,a776)
% 184.24/184.08 [4361]~E(f80(a1),f2(a1))
% 184.24/184.08 [2999]E(f113(f2(a850)),f2(a850))
% 184.24/184.08 [3000]E(f6(f2(a101)),f2(a850))
% 184.24/184.08 [3005]E(f775(f81(a1),a85),a85)
% 184.24/184.08 [3009]E(f775(a5,f2(a850)),f2(a101))
% 184.24/184.08 [3010]E(f775(a114,f2(a850)),f80(a850))
% 184.24/184.08 [3011]E(f775(a107,f80(a1)),f80(a850))
% 184.24/184.08 [3012]E(f775(a5,f80(a850)),f80(a101))
% 184.24/184.08 [3014]E(f775(f106(a1),a85),f2(a1))
% 184.24/184.08 [3015]E(f775(f106(a101),a85),f2(a101))
% 184.24/184.08 [3016]E(f775(a107,f2(a1)),f2(a850))
% 184.24/184.08 [3017]E(f775(f181(a845),a25),f2(a850))
% 184.24/184.08 [3018]E(f775(f181(a844),a177),f2(a850))
% 184.24/184.08 [3019]E(f775(f181(a844),a178),f2(a850))
% 184.24/184.08 [3020]E(f775(f106(a850),a85),f2(a850))
% 184.24/184.08 [3026]E(f775(f81(a1),f80(a1)),a99)
% 184.24/184.08 [3034]E(f775(f181(a101),f2(a101)),f2(a850))
% 184.24/184.08 [3035]E(f775(f102(a1),f2(a850)),f2(a1))
% 184.24/184.08 [3036]E(f775(f102(a1),f80(a850)),f80(a1))
% 184.24/184.08 [3037]E(f775(f81(a1),f2(a1)),f2(a1))
% 184.24/184.08 [3046]E(f775(a107,f80(a1)),f775(a114,f2(a850)))
% 184.24/184.08 [3048]E(f324(f856(a850,a850),a40),a41)
% 184.24/184.08 [3049]E(f326(f856(a850,a850),a40),a70)
% 184.24/184.08 [3070]E(f775(f257(a850),f2(a850)),f180(f857(a850,a844)))
% 184.24/184.08 [3071]E(f775(f258(a850),f2(a850)),f239(f857(a850,a844)))
% 184.24/184.08 [3081]P38(f180(f857(a1,a844)))
% 184.24/184.08 [3116]E(f775(f775(f3(a101),f2(a101)),f80(a101)),f2(a101))
% 184.24/184.08 [3188]P1(f775(f775(f233(a1),a99),f2(a1)))
% 184.24/184.08 [3213]P1(f775(f775(f233(a1),f2(a1)),f80(a1)))
% 184.24/184.08 [3215]P1(f775(f775(f232(a1),f2(a1)),f80(a1)))
% 184.24/184.08 [3382]P1(f775(f63(a846),f169(a846,a845,a30)))
% 184.24/184.08 [3424]E(f775(f775(f281(a850,a850,a850),a323),f300(a850,a323)),a237)
% 184.24/184.08 [3462]P40(a1,a850,a107,f775(f232(a1),f2(a1)))
% 184.24/184.08 [3465]E(f775(f775(f46(a850,f857(a850,a844)),f239(f857(a850,a844))),f257(a850)),f239(f857(a850,a844)))
% 184.24/184.08 [3466]E(f775(f775(f46(a850,f857(a850,a844)),f239(f857(a850,a844))),f293(a850)),f239(f857(a850,a844)))
% 184.24/184.08 [3467]E(f775(f775(f46(a850,f857(a850,a844)),f239(f857(a850,a844))),f258(a850)),f239(f857(a850,a844)))
% 184.24/184.08 [3468]E(f775(f775(f47(a850,f857(a850,a844)),f239(f857(a850,a844))),f296(a850)),f180(f857(a850,a844)))
% 184.24/184.08 [3484]P29(a850,a1,f102(a1),f239(f857(a850,a844)))
% 184.24/184.08 [3497]P40(a850,a1,f102(a1),f775(f18(a844,a850),a177))
% 184.24/184.08 [3628]E(f775(f75(a850,a101,a1,a5),a107),f106(a101))
% 184.24/184.08 [3846]P55(a101,a850,a22,a5,f239(f857(a850,a844)))
% 184.24/184.08 [3854]P55(a1,f857(f856(a850,a850),a844),a109,a91,a100)
% 184.24/184.08 [4123]E(f252(a1,a1,a1,a1,f39(a1),f81(a1)),a58)
% 184.24/184.08 [4392]~E(f775(f106(a1),a99),f775(f106(a1),a85))
% 184.24/184.08 [4393]~P1(f775(a186,f2(a1)))
% 184.24/184.08 [4394]~P1(f775(a186,f80(a1)))
% 184.24/184.08 [4450]~P1(f775(f775(f233(a1),a85),f2(a1)))
% 184.24/184.08 [3064]E(f775(f775(f3(a1),a99),a99),a85)
% 184.24/184.08 [3078]E(f775(f102(a1),f775(a114,f2(a850))),f80(a1))
% 184.24/184.08 [3140]E(f775(f42(a853),f239(f857(a853,a844))),f80(a850))
% 184.24/184.08 [3162]P1(f775(a186,f775(f106(a1),a99)))
% 184.24/184.08 [3163]P1(f775(f775(f233(a1),a99),a85))
% 184.24/184.08 [3165]P1(f775(f775(f232(a1),a99),a85))
% 184.24/184.08 [3224]E(f775(f775(f302(a850),f2(a850)),f180(f857(a850,a844))),f775(f293(a850),f2(a850)))
% 184.24/184.08 [3280]P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),a85)))
% 184.24/184.08 [3291]E(f775(f303(a850,a850,a114),f239(f857(a850,a844))),f775(f296(a850),f2(a850)))
% 184.24/184.08 [3329]P12(f856(a850,a850),f239(f857(f856(a850,a850),a844)),a111)
% 184.24/184.08 [3635]E(f775(f75(a850,a1,a101,f102(a1)),a22),a23)
% 184.24/184.08 [3695]P36(a850,f775(f256(f856(a850,a850)),f775(f251(a850,a850,a844),f233(a850))))
% 184.24/184.08 [4441]~P1(f775(a186,f775(f106(a1),a85)))
% 184.24/184.08 [4442]~P1(f775(f775(f233(a1),a99),a99))
% 184.24/184.08 [4443]~P1(f775(f775(f233(a1),a85),a99))
% 184.24/184.08 [4444]~P1(f775(f775(f233(a1),a85),a85))
% 184.24/184.08 [4445]~P1(f775(f775(f232(a1),a85),a99))
% 184.24/184.08 [4460]~P1(f775(f63(a850),f239(f857(a850,a844))))
% 184.24/184.08 [4461]~P1(f775(f63(a1),f239(f857(a1,a844))))
% 184.24/184.08 [4288]E(f775(f251(a1,a1,a844),f775(f775(f10(f857(a1,a844),f857(a1,a844),a1),f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f233(a1),f2(a1))))),f775(f775(f9(a1,a1,f857(a1,a844)),f775(f775(f10(f857(a1,f857(a1,a844)),f857(a1,f857(a1,a844)),a1),f9(a1,a1,a844)),f775(f775(f10(f857(a1,a1),f857(a1,f857(a1,a844)),a1),f775(f10(a1,f857(a1,a844),a1),a330)),a212))),f80(a1)))),a208)
% 184.24/184.08 [3364]E(f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99),f775(f81(a1),a99))
% 184.24/184.08 [3406]E(f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99),f775(f775(f3(a1),a85),a99))
% 184.24/184.08 [3560]E(f775(f775(f61(f856(a850,a850)),f239(f857(f856(a850,a850),a844))),a111),a100)
% 184.24/184.08 [3590]E(f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f80(a1))
% 184.24/184.08 [3591]E(f775(f106(a101),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f80(a101))
% 184.24/184.08 [3592]E(f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f80(a850))
% 184.24/184.08 [3595]E(f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(a114,f2(a850)))
% 184.24/184.08 [3984]E(f775(f775(f103(f857(f856(f856(a850,a850),f856(a850,a850)),a844)),a40),f300(f856(a850,a850),f180(f857(f856(f856(a850,a850),f856(a850,a850)),a844)))),a72)
% 184.24/184.08 [4055]E(f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),f2(a850)),f2(a850))),f180(f857(f856(a850,a850),a844))))),f2(a1))
% 184.24/184.08 [4056]E(f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),f80(a850)),f2(a850))),f180(f857(f856(a850,a850),a844))))),f80(a1))
% 184.24/184.08 [4070]E(f775(f256(f856(a850,a850)),f775(f251(a850,a850,a844),f775(f775(f10(a850,f857(a850,a844),a850),f775(f9(a850,a850,a844),a330)),a114))),a323)
% 184.24/184.08 [4039]E(f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),f775(a114,f775(a114,f2(a850))))
% 184.24/184.08 [4042]E(f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),f775(f775(f82(a850),f80(a850)),f80(a850)))
% 184.24/184.08 [4043]E(f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),f775(f42(a844),f239(f857(a844,a844))))
% 184.24/184.08 [4108]P10(f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))
% 184.24/184.08 [4182]P30(f857(f856(a850,a850),a844),f775(f775(f241(f857(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),a844),f857(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),a844)),a41),a71))
% 184.24/184.08 [4183]P30(f857(f856(a850,a850),a844),f775(f775(f241(f857(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),a844),f857(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),a844)),a70),a73))
% 184.24/184.08 [4220]E(f775(f775(f103(f857(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),a844)),f326(f856(a850,a850),a72)),f775(f775(f302(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),f180(f857(f856(a850,a850),a844))),f180(f857(f856(a850,a850),a844)))),f180(f857(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),a844)))),a73)
% 184.24/184.08 [4221]E(f775(f775(f103(f857(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),a844)),f324(f856(a850,a850),a72)),f775(f775(f302(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),f180(f857(f856(a850,a850),a844))),f180(f857(f856(a850,a850),a844)))),f180(f857(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),a844)))),a71)
% 184.24/184.08 [4110]E(f775(a107,f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(a114,f775(a114,f2(a850))))
% 184.24/184.08 [4159]E(f775(f102(a1),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))
% 184.24/184.08 [4192]P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.24/184.08 [4193]E(f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99)),f775(a114,f775(a114,f775(a114,f2(a850)))))
% 184.24/184.08 [4233]P10(f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99)))
% 184.24/184.08 [4260]E(f775(f102(a1),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99))),f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99)))
% 184.24/184.08 [4274]P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99))))
% 184.24/184.08 [3004]P11(x30041,a330)
% 184.24/184.08 [3392]P29(a850,a850,a114,x33921)
% 184.24/184.08 [3021]P36(a1,f108(x30211))
% 184.24/184.08 [3022]P36(a1,f110(x30221))
% 184.24/184.08 [3025]P37(x30251,f183(x30251))
% 184.24/184.08 [3067]P36(f857(x30671,a844),f299(x30671))
% 184.24/184.08 [3107]E(f52(a1,x31071,x31071),f2(a1))
% 184.24/184.08 [3159]P19(x31591,f857(x31591,a844),f302(x31591))
% 184.24/184.08 [4363]~E(f775(a27,x43631),a25)
% 184.24/184.08 [4365]~E(f775(a114,x43651),x43651)
% 184.24/184.08 [4377]~E(f775(a114,x43771),f2(a850))
% 184.24/184.08 [3006]E(f775(f181(a850),x30061),x30061)
% 184.24/184.08 [3007]E(f775(f106(a1),x30071),x30071)
% 184.24/184.08 [3023]E(f775(a91,f333(x30231)),x30231)
% 184.24/184.08 [3024]E(f238(x30241,f2(a101)),f2(a101))
% 184.24/184.08 [3038]E(f116(x30381,f115(x30381)),f115(x30381))
% 184.24/184.08 [3042]E(f34(f775(a27,x30421)),f2(a850))
% 184.24/184.08 [3043]E(f775(f141(x30431),f115(x30431)),f115(x30431))
% 184.24/184.08 [3044]E(f775(f157(x30441),f115(x30441)),f115(x30441))
% 184.24/184.08 [3045]E(f775(f142(x30451),f115(x30451)),f115(x30451))
% 184.24/184.08 [3051]E(f775(f106(a1),x30511),f775(f105(a1),x30511))
% 184.24/184.08 [3053]E(f775(a5,f775(a22,x30531)),x30531)
% 184.24/184.08 [3054]E(f775(a22,f775(a5,x30541)),x30541)
% 184.24/184.08 [3055]E(f775(a91,f775(a109,x30551)),x30551)
% 184.24/184.08 [3056]P10(f775(f102(a1),x30561))
% 184.24/184.08 [3060]E(f775(f181(f854(x30601)),f183(x30601)),f2(a850))
% 184.24/184.08 [3061]E(f775(f181(f851(x30611)),f115(x30611)),f2(a850))
% 184.24/184.08 [3066]E(f775(f181(a845),f775(a27,x30661)),f2(a850))
% 184.24/184.08 [3076]E(f226(x30761,f183(x30761)),f180(f857(x30761,a844)))
% 184.24/184.08 [3084]E(f775(f775(f82(a850),x30841),f2(a850)),x30841)
% 184.24/184.08 [3085]E(f775(f775(f82(a1),x30851),f2(a1)),x30851)
% 184.24/184.08 [3086]E(f775(f775(f83(a850),x30861),f80(a850)),x30861)
% 184.24/184.08 [3087]E(f775(f775(f83(a1),x30871),f80(a1)),x30871)
% 184.24/184.08 [3088]E(f775(f775(f3(a850),x30881),f2(a850)),x30881)
% 184.24/184.08 [3089]E(f775(f775(f179(a850),x30891),f2(a850)),x30891)
% 184.24/184.08 [3090]E(f775(f775(f83(a850),x30901),f2(a850)),f2(a850))
% 184.24/184.08 [3091]E(f775(f775(f43(a1),x30911),f2(a1)),f2(a1))
% 184.24/184.08 [3092]E(f775(f775(f236(a850),x30921),f2(a850)),f2(a850))
% 184.24/184.08 [3098]E(f775(f158(x30981),f115(x30981)),f180(f857(x30981,a844)))
% 184.24/184.08 [3102]P1(f775(f127(x31021),f115(x31021)))
% 184.24/184.08 [3108]E(f775(f143(x31081,x31081),f7(x31081)),f39(f851(x31081)))
% 184.24/184.08 [3109]E(f775(f143(x31091,x31091),f39(x31091)),f39(f851(x31091)))
% 184.24/184.08 [3110]E(f775(f196(x31101,x31101),f7(x31101)),f39(f854(x31101)))
% 184.24/184.08 [3111]E(f775(f196(x31111,x31111),f39(x31111)),f39(f854(x31111)))
% 184.24/184.08 [3112]E(f52(a1,x31121,f2(a1)),x31121)
% 184.24/184.08 [3113]E(f775(f232(a850),f775(a114,x31131)),f775(f233(a850),x31131))
% 184.24/184.08 [3114]E(f775(f257(a850),f775(a114,x31141)),f775(f293(a850),x31141))
% 184.24/184.08 [3115]E(f775(f258(a850),f775(a114,x31151)),f775(f296(a850),x31151))
% 184.24/184.08 [3117]E(f52(a1,f2(a1),x31171),f2(a1))
% 184.24/184.08 [3124]E(f775(f775(f82(a850),x31241),f80(a850)),f775(a114,x31241))
% 184.24/184.08 [3134]E(f775(f294(a850,x31341),f2(a850)),f180(f857(a850,a844)))
% 184.24/184.08 [3145]E(f295(a850,f2(a850),x31451),f775(f293(a850),x31451))
% 184.24/184.08 [3191]E(f775(f775(f3(a850),f775(a114,x31911)),f80(a850)),x31911)
% 184.24/184.08 [3204]E(f54(f2(a1),x32041),f775(f775(f241(a1,a1),f2(a1)),f2(a1)))
% 184.24/184.08 [3254]P1(f775(f775(f233(a850),x32541),f775(a114,x32541)))
% 184.24/184.08 [3268]P1(f775(f775(f233(a850),f2(a850)),f775(a114,x32681)))
% 184.24/184.08 [3547]E(f775(f775(f3(a101),f775(a5,f775(a114,f775(a22,x35471)))),f80(a101)),x35471)
% 184.24/184.08 [3617]P1(f775(f775(f232(a1),f775(f81(a1),f775(f102(a1),x36171))),f2(a1)))
% 184.24/184.08 [3770]P1(f775(f775(f233(a1),f775(f81(a1),f775(f102(a1),f775(a114,x37701)))),f2(a1)))
% 184.24/184.08 [4400]~E(f239(f857(x44001,a844)),f180(f857(x44001,a844)))
% 184.24/184.08 [4453]~P1(f775(f775(f233(a850),x44531),f2(a850)))
% 184.24/184.08 [4469]~P1(f775(f775(f233(a1),f775(f102(a1),x44691)),f2(a1)))
% 184.24/184.08 [3065]E(f164(x30651,f115(f851(x30651))),f115(f851(x30651)))
% 184.24/184.08 [3068]E(f775(f775(f83(a1),a85),x30681),a85)
% 184.24/184.08 [3069]E(f775(f775(f82(a1),a85),x30691),x30691)
% 184.24/184.08 [3072]E(f775(a107,f775(f102(a1),x30721)),x30721)
% 184.24/184.08 [3073]E(f775(f775(f82(a1),x30731),a85),x30731)
% 184.24/184.08 [3074]E(f775(f775(f3(a1),x30741),a85),x30741)
% 184.24/184.08 [3077]E(f775(f775(f3(a850),x30771),x30771),f2(a850))
% 184.24/184.08 [3082]E(f775(f81(a1),f775(f81(a1),x30821)),x30821)
% 184.24/184.08 [3083]E(f775(f42(a850),f775(f257(a850),x30831)),x30831)
% 184.24/184.08 [3093]E(f775(f775(f82(a850),f2(a850)),x30931),x30931)
% 184.24/184.08 [3094]E(f775(f775(f82(a1),f2(a1)),x30941),x30941)
% 184.24/184.08 [3095]E(f775(f775(f83(a850),f80(a850)),x30951),x30951)
% 184.24/184.08 [3096]E(f775(f775(f83(a1),f80(a1)),x30961),x30961)
% 184.24/184.08 [3097]E(f775(f775(f179(a850),f2(a850)),x30971),x30971)
% 184.24/184.08 [3103]E(f775(f775(f83(a850),f2(a850)),x31031),f2(a850))
% 184.24/184.08 [3104]E(f775(f775(f43(a1),f2(a1)),x31041),f2(a1))
% 184.24/184.08 [3105]E(f775(f775(f3(a850),f2(a850)),x31051),f2(a850))
% 184.24/184.08 [3106]E(f775(f775(f236(a850),f2(a850)),x31061),f2(a850))
% 184.24/184.08 [3122]E(f775(f294(a850,f2(a850)),x31221),f775(f257(a850),x31221))
% 184.24/184.08 [3123]E(f775(f775(f83(a1),a99),x31231),f775(f81(a1),x31231))
% 184.24/184.08 [3126]E(f775(a107,f775(f106(a1),x31261)),f775(f106(a850),x31261))
% 184.24/184.08 [3127]E(f775(a22,f775(f106(a101),x31271)),f775(f106(a850),x31271))
% 184.24/184.08 [3128]E(f775(f42(a850),f775(f293(a850),x31281)),f775(a114,x31281))
% 184.24/184.08 [3138]E(f775(f775(f82(a850),f80(a850)),x31381),f775(a114,x31381))
% 184.24/184.08 [3141]E(f775(f105(a1),f775(f102(a1),x31411)),f775(f102(a1),x31411))
% 184.24/184.08 [3142]E(f775(f77(a1),f775(f102(a1),x31421)),f775(f102(a1),x31421))
% 184.24/184.08 [3147]E(f775(f42(x31471),f180(f857(x31471,a844))),f2(a850))
% 184.24/184.08 [3149]E(f775(f775(f43(a850),x31491),f775(a114,f2(a850))),x31491)
% 184.24/184.08 [3160]E(f52(a850,x31601,f775(a114,f2(a850))),f2(a850))
% 184.24/184.08 [3161]E(f52(a1,x31611,f775(f106(a1),a99)),f2(a1))
% 184.24/184.08 [3175]E(f775(f775(f43(a1),x31751),f775(f106(a1),a99)),f775(f81(a1),x31751))
% 184.24/184.08 [3179]E(f130(a850,f775(f294(a850,x31791),f2(a850))),f115(a850))
% 184.24/184.08 [3180]E(f775(f775(f3(a1),x31801),f80(a1)),f775(f775(f82(a1),x31801),a99))
% 184.24/184.08 [3181]E(f775(f775(f82(a1),x31811),f80(a1)),f775(f775(f3(a1),x31811),a99))
% 184.24/184.08 [3184]P1(f775(f775(f187(a25),x31841),x31841))
% 184.24/184.08 [3185]P1(f775(f775(f232(a850),x31851),x31851))
% 184.24/184.08 [3186]P1(f775(f775(f232(a1),x31861),x31861))
% 184.24/184.08 [3187]P1(f775(f775(f279(a850),x31871),x31871))
% 184.24/184.08 [3192]E(f775(f81(a1),f775(f106(a1),x31921)),f775(f106(a1),f775(f81(a1),x31921)))
% 184.24/184.08 [3193]P1(f775(f63(a850),f775(f257(a850),x31931)))
% 184.24/184.08 [3194]P1(f775(f63(a850),f775(f293(a850),x31941)))
% 184.24/184.08 [3202]E(f149(x32021,f239(f857(x32021,a844))),f239(f857(f851(x32021),a844)))
% 184.24/184.08 [3207]P1(f775(f775(f232(a850),f2(a850)),x32071))
% 184.24/184.08 [3218]E(f775(f775(f82(a850),f113(x32181)),f775(a114,f2(a850))),f113(f775(a114,x32181)))
% 184.24/184.08 [3219]E(f775(f256(x32191),f775(f18(a844,x32191),a177)),f239(f857(x32191,a844)))
% 184.24/184.08 [3220]E(f775(f256(x32201),f775(f18(a844,x32201),a178)),f180(f857(x32201,a844)))
% 184.24/184.08 [3223]E(f775(f775(f302(a850),x32231),f775(f257(a850),x32231)),f775(f257(a850),f775(a114,x32231)))
% 184.24/184.08 [3234]E(f775(f775(f82(a1),f80(a1)),f775(f102(a1),x32341)),f775(f102(a1),f775(a114,x32341)))
% 184.24/184.08 [3257]E(f180(f857(f856(x32571,x32571),a844)),f260(x32571,f180(f857(x32571,a844))))
% 184.24/184.08 [3258]E(f775(f301(x32581),f239(f857(x32581,a844))),f239(f857(f857(x32581,a844),a844)))
% 184.24/184.08 [3259]E(f775(f81(f857(x32591,a844)),f239(f857(x32591,a844))),f180(f857(x32591,a844)))
% 184.24/184.08 [3260]E(f775(f81(f857(x32601,a844)),f180(f857(x32601,a844))),f239(f857(x32601,a844)))
% 184.24/184.08 [3262]P1(f775(f63(x32621),f180(f857(x32621,a844))))
% 184.24/184.08 [3264]E(f775(f294(a850,x32641),f775(a114,x32641)),f775(f775(f302(a850),x32641),f180(f857(a850,a844))))
% 184.24/184.08 [3265]E(f87(f856(a850,a850),f55(x32651,f2(a850))),f775(f775(f241(a850,a850),f2(a850)),x32651))
% 184.24/184.08 [3279]E(f775(f775(f302(a850),f775(a114,x32791)),f775(f293(a850),x32791)),f775(f293(a850),f775(a114,x32791)))
% 184.24/184.08 [3282]P36(x32821,f180(f857(f856(x32821,x32821),a844)))
% 184.24/184.08 [3285]P1(f775(f775(f232(a1),f2(a1)),f775(f102(a1),x32851)))
% 184.24/184.08 [3293]E(f775(f775(f82(a850),f775(f181(a850),x32931)),f775(a114,f2(a850))),f775(f181(a850),f775(a114,x32931)))
% 184.24/184.08 [3399]P38(f775(f303(a850,a1,f102(a1)),x33991))
% 184.24/184.08 [3439]P47(x34391,f180(f857(x34391,a844)),f180(f857(f856(x34391,x34391),a844)))
% 184.24/184.08 [3459]E(f775(f775(f241(a1,a1),f775(f106(a1),a99)),f775(f775(f3(a1),x34591),f80(a1))),f57(f775(f106(a1),a99),x34591))
% 184.24/184.08 [3509]P58(x35091,f775(f18(f857(x35091,a844),x35091),f775(f18(a844,x35091),a178)))
% 184.24/184.08 [3518]E(f282(a850,f279(a850),x35181,x35181),f775(f775(f302(a850),x35181),f180(f857(a850,a844))))
% 184.24/184.08 [3709]P1(f775(f775(f334(f857(f856(a850,a850),a844)),f333(x37091)),a100))
% 184.24/184.08 [3734]P1(f775(f775(f334(f857(f856(a850,a850),a844)),f775(a109,x37341)),a100))
% 184.24/184.08 [3864]P29(x38641,f857(x38641,a844),f775(f775(f9(x38641,f857(x38641,a844),f857(x38641,a844)),f302(x38641)),f180(f857(x38641,a844))),f239(f857(x38641,a844)))
% 184.24/184.08 [4396]~E(f775(f775(f82(a1),x43961),x43961),a99)
% 184.24/184.08 [4440]~E(f775(a5,f775(a114,f775(a22,x44401))),f2(a101))
% 184.24/184.08 [4446]~P1(f775(a186,f775(f102(a1),x44461)))
% 184.24/184.08 [4449]~P1(f775(f775(f233(a850),x44491),x44491))
% 184.24/184.08 [4462]~P1(f775(f775(f232(a850),f775(a114,x44621)),x44621))
% 184.24/184.08 [3209]E(f775(a107,f775(f81(a1),f775(f102(a1),x32091))),f2(a850))
% 184.24/184.08 [3212]E(f775(f775(f82(a1),f775(f81(a1),x32121)),x32121),f2(a1))
% 184.24/184.08 [3217]E(f775(f42(a1),f775(f294(a1,f2(a1)),x32171)),f775(a107,x32171))
% 184.24/184.08 [3227]E(f775(f775(f242(a850),f775(a114,f2(a850))),x32271),f775(a114,f2(a850)))
% 184.24/184.08 [3326]E(f775(f276(x33261),f180(f857(f856(x33261,x33261),a844))),f180(f857(x33261,a844)))
% 184.24/184.08 [3334]E(f45(f857(x33341,a844),f239(f857(f857(x33341,a844),a844))),f180(f857(x33341,a844)))
% 184.24/184.08 [3335]E(f45(f857(x33351,a844),f180(f857(f857(x33351,a844),a844))),f239(f857(x33351,a844)))
% 184.24/184.08 [3336]E(f44(f857(x33361,a844),f239(f857(f857(x33361,a844),a844))),f239(f857(x33361,a844)))
% 184.24/184.08 [3337]E(f44(f857(x33371,a844),f180(f857(f857(x33371,a844),a844))),f180(f857(x33371,a844)))
% 184.24/184.08 [3342]P1(f775(f775(f279(a850),f775(a114,f2(a850))),x33421))
% 184.24/184.08 [3380]E(f775(f775(f302(f851(x33801)),f115(x33801)),f180(f857(f851(x33801),a844))),f150(x33801,f115(f857(x33801,a844))))
% 184.24/184.08 [3381]E(f775(f775(f302(f851(x33811)),f115(x33811)),f180(f857(f851(x33811),a844))),f149(x33811,f180(f857(x33811,a844))))
% 184.24/184.08 [3423]E(f775(f775(f82(a850),f6(x34231)),f775(a114,f2(a850))),f6(f775(a5,f775(a114,f775(a22,x34231)))))
% 184.24/184.08 [3451]E(f775(f42(a1),f775(f303(a850,a1,f102(a1)),x34511)),f775(f42(a850),x34511))
% 184.24/184.08 [3454]P1(f775(f775(f232(a850),x34541),f775(f775(f83(a850),x34541),x34541)))
% 184.24/184.08 [3490]E(f775(f303(a1,a850,a107),f295(a1,f2(a1),f775(f102(a1),x34901))),f775(f293(a850),x34901))
% 184.24/184.08 [3504]E(f775(f775(f43(a850),f775(a114,f2(a850))),f775(f106(a850),x35041)),f775(a107,f775(f775(f43(a1),f80(a1)),f775(f106(a1),x35041))))
% 184.24/184.08 [3506]E(f775(f158(a850),f130(a850,f775(f294(a850,f2(a850)),f775(a114,x35061)))),f775(f293(a850),x35061))
% 184.24/184.08 [3507]E(f775(f775(f82(a850),f775(f181(a101),x35071)),f775(a114,f2(a850))),f775(f181(a101),f775(a5,f775(a114,f775(a22,x35071)))))
% 184.24/184.08 [3523]E(f775(f303(a1,a850,a107),f775(f303(a850,a1,f102(a1)),x35231)),x35231)
% 184.24/184.08 [3552]E(f775(f775(f302(a850),f2(a850)),f775(f303(a850,a850,a114),f775(f257(a850),x35521))),f775(f257(a850),f775(a114,x35521)))
% 184.24/184.08 [3559]P53(x35591,x35591,f300(x35591,f180(f857(f856(x35591,x35591),a844))))
% 184.24/184.08 [3565]P1(f775(a186,f775(f81(a1),f775(f102(a1),f775(a114,x35651)))))
% 184.24/184.08 [3576]E(f775(f775(f3(f857(a850,a844)),f775(f258(a850),x35761)),f775(f775(f302(a850),x35761),f180(f857(a850,a844)))),f775(f258(a850),f775(a114,x35761)))
% 184.24/184.08 [3593]E(f775(f775(f82(a1),f775(f775(f3(a1),a85),x35931)),f775(f775(f3(a1),a85),x35931)),f775(f775(f3(a1),a85),f775(f775(f82(a1),x35931),x35931)))
% 184.24/184.08 [3607]E(f775(f775(f302(f857(x36071,a844)),f180(f857(x36071,a844))),f180(f857(f857(x36071,a844),a844))),f775(f301(x36071),f180(f857(x36071,a844))))
% 184.24/184.08 [3636]E(f775(f775(f3(f857(a850,a844)),f775(f296(a850),x36361)),f775(f775(f302(a850),f775(a114,x36361)),f180(f857(a850,a844)))),f775(f296(a850),f775(a114,x36361)))
% 184.24/184.08 [3645]E(f775(f775(f302(f854(x36451)),f183(x36451)),f775(f303(x36451,f854(x36451),f227(x36451)),f239(f857(x36451,a844)))),f239(f857(f854(x36451),a844)))
% 184.24/184.08 [3746]E(f775(f106(a850),f775(f775(f82(a1),x37461),x37461)),f775(f775(f88(a850,a850),f775(f106(a850),x37461)),f775(f775(f20(a850,a850,a850),f82(a850)),f7(a850))))
% 184.24/184.08 [4134]P19(x41341,f857(x41341,a844),f775(f775(f10(f857(x41341,a844),f857(f857(x41341,a844),f857(x41341,a844)),x41341),f775(f9(f857(x41341,a844),f857(x41341,a844),f857(x41341,a844)),f3(f857(x41341,a844)))),f775(f775(f9(x41341,f857(x41341,a844),f857(x41341,a844)),f302(x41341)),f180(f857(x41341,a844)))))
% 184.24/184.08 [4219]E(f775(f256(f856(a1,a1)),f775(f251(a1,a1,a844),f775(f775(f10(f857(a1,a844),f857(a1,a844),a1),f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),x42191)))),f233(a1)))),f110(x42191))
% 184.24/184.08 [4251]E(f775(f256(f856(a1,a1)),f775(f251(a1,a1,a844),f775(f775(f20(a1,f857(a1,a844),f857(a1,a844)),f775(f775(f10(f857(a844,a844),f857(f857(a1,a844),f857(a1,a844)),a1),f10(a844,a844,a1)),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),x42511)))),f233(a1)))),f108(x42511))
% 184.24/184.08 [4303]E(f775(f256(f856(f857(x43031,a844),f857(x43031,a844))),f775(f251(f857(x43031,a844),f857(x43031,a844),a844),f775(f775(f9(f857(x43031,a844),f857(f857(x43031,a844),a844),f857(f857(x43031,a844),a844)),f775(f775(f10(f857(f857(x43031,a844),f857(a844,a844)),f857(f857(f857(x43031,a844),a844),f857(f857(x43031,a844),a844)),f857(x43031,a844)),f20(f857(x43031,a844),a844,a844)),f775(f775(f10(f857(f857(x43031,a844),a844),f857(f857(x43031,a844),f857(a844,a844)),f857(x43031,a844)),f775(f10(a844,f857(a844,a844),f857(x43031,a844)),a331)),f233(f857(x43031,a844))))),f63(x43031)))),f299(x43031))
% 184.24/184.08 [4466]~P1(f775(f63(f851(x44661)),f239(f857(f851(x44661),a844))))
% 184.24/184.08 [4479]~P1(f775(f775(f232(a1),f2(a1)),f775(f81(a1),f775(f102(a1),f775(a114,x44791)))))
% 184.24/184.08 [3358]E(f775(f775(f3(a1),f775(f775(f82(a1),x33581),a99)),a99),x33581)
% 184.24/184.08 [3374]E(f775(f158(a850),f130(a850,f775(f294(a850,f2(a850)),x33741))),f775(f257(a850),x33741))
% 184.24/184.08 [3613]E(f775(f775(f82(a1),f775(f775(f82(a1),f80(a1)),x36131)),x36131),f775(f775(f3(a1),f775(f775(f82(a1),x36131),x36131)),a99))
% 184.24/184.08 [3663]E(f775(f278(x36631,x36631),f300(x36631,f180(f857(f856(x36631,x36631),a844)))),f300(x36631,f180(f857(f856(x36631,x36631),a844))))
% 184.24/184.08 [3712]P1(f775(f775(f232(a850),x37121),f775(f775(f83(a850),x37121),f775(f775(f83(a850),x37121),x37121))))
% 184.24/184.08 [3988]P1(f775(f63(a850),f775(f256(a850),f775(f775(f9(a850,a850,a844),f233(a850)),x39881))))
% 184.24/184.08 [3989]P1(f775(f63(a850),f775(f256(a850),f775(f775(f9(a850,a850,a844),f232(a850)),x39891))))
% 184.24/184.08 [4270]E(f775(f256(f856(x42701,x42701)),f775(f775(f10(f857(x42701,a844),a844,f856(x42701,x42701)),f89(x42701)),f775(f775(f9(f856(x42701,x42701),f857(x42701,f856(x42701,x42701)),f857(x42701,a844)),f775(f775(f10(f857(f856(x42701,x42701),a844),f857(f857(x42701,f856(x42701,x42701)),f857(x42701,a844)),f856(x42701,x42701)),f10(f856(x42701,x42701),a844,x42701)),a330)),f775(f775(f20(x42701,x42701,f856(x42701,x42701)),f241(x42701,x42701)),f7(x42701))))),f300(x42701,f180(f857(f856(x42701,x42701),a844))))
% 184.24/184.08 [4468]~E(f775(f775(f3(a1),f775(f775(f82(a1),x44681),x44681)),a99),a85)
% 184.24/184.08 [4470]~E(f775(f775(f82(a1),f775(f775(f82(a1),f80(a1)),x44701)),x44701),f2(a1))
% 184.24/184.08 [3758]E(f775(f775(f82(a1),f775(f775(f3(a1),a99),x37581)),f775(f775(f3(a1),a99),x37581)),f775(f775(f3(a1),a99),f775(f775(f3(a1),f775(f775(f82(a1),x37581),x37581)),a99)))
% 184.24/184.08 [3872]E(f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),a99),x38721)),f775(f775(f3(a1),a99),x38721))),a99),f775(f775(f3(a1),a99),f775(f775(f82(a1),x38721),x38721)))
% 184.24/184.08 [3908]E(f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f82(a1),x39081),a99)),f775(f775(f82(a1),x39081),a99))),a99),f775(f775(f82(a1),f775(f775(f82(a1),x39081),x39081)),a99))
% 184.24/184.08 [3947]E(f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),a99),x39471)),f775(f775(f3(a1),a99),x39471))),a99),f775(f775(f3(a1),a85),f775(f775(f3(a1),f775(f775(f82(a1),x39471),x39471)),a99)))
% 184.24/184.08 [4051]E(f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x40511),f2(a850))),f180(f857(f856(a850,a850),a844))))),f775(f102(a1),x40511))
% 184.24/184.08 [4061]E(f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),f337(x40611)),f490(x40611))),f180(f857(f856(a850,a850),a844))))),x40611)
% 184.24/184.08 [4091]E(f775(f256(a1),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),f2(a1)))),x40911)),f775(f303(a850,a1,f102(a1)),f775(f256(a850),f775(f775(f10(a1,a844,a850),x40911),f102(a1)))))
% 184.24/184.08 [4142]P38(f775(f256(a1),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),f2(a1)))),x41421)))
% 184.24/184.08 [4162]P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),x41621),f180(f857(f856(a850,a850),a844)))),a73))
% 184.24/184.08 [4168]E(f775(f303(a1,a850,a107),f775(f256(a1),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),f2(a1)))),f775(f775(f10(a850,a844,a1),x41681),a107)))),f775(f256(a850),x41681))
% 184.24/184.08 [4317]E(f306(a850,f775(f775(f46(f856(a850,a850),f857(a850,a844)),f775(a109,x43171)),f775(f251(a850,a850,f857(a850,a844)),f775(f775(f9(a850,f857(a850,a844),f857(a850,f857(a850,a844))),f775(f775(f10(f857(a850,f857(f857(a850,a844),f857(a850,a844))),f857(f857(a850,a844),f857(a850,f857(a850,a844))),a850),f9(a850,f857(a850,a844),f857(a850,a844))),f775(f775(f10(f857(a850,a850),f857(a850,f857(f857(a850,a844),f857(a850,a844))),a850),f775(f10(a850,f857(f857(a850,a844),f857(a850,a844)),a850),f302(a850))),f3(a850)))),f180(f857(a850,a844)))))),f775(a107,x43171))
% 184.24/184.08 [3801]E(f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),x38011),x38011)),a99)),a99),f775(f775(f82(a1),x38011),x38011))
% 184.24/184.08 [3847]E(f775(f775(f3(a1),f775(f775(f3(a1),f775(f775(f82(a1),x38471),x38471)),a99)),a99),f775(f775(f82(a1),f775(f775(f3(a1),x38471),a99)),f775(f775(f3(a1),x38471),a99)))
% 184.24/184.08 [4068]E(f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f82(a1),f775(f81(a1),x40681)),a99)),f775(f775(f82(a1),f775(f81(a1),x40681)),a99))),a99),f775(f81(a1),f775(f775(f3(a1),f775(f775(f82(a1),x40681),x40681)),a99)))
% 184.24/184.08 [4111]E(f775(f775(f82(a850),x41111),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(a114,f775(a114,x41111)))
% 184.24/184.08 [4112]E(f775(f775(f83(a850),x41121),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(f775(f82(a850),x41121),x41121))
% 184.24/184.08 [4113]E(f775(f775(f43(a850),f775(f775(f82(a850),x41131),x41131)),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x41131)
% 184.24/184.08 [4195]E(f52(a850,f775(a114,f775(a114,x41951)),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f52(a850,x41951,f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.24/184.08 [4334]E(f775(a91,f775(f775(f46(f856(a850,a850),f857(f856(a850,a850),a844)),f775(a109,x43341)),f775(f251(a850,a850,f857(f856(a850,a850),a844)),f775(f775(f10(f857(a850,f857(f856(a850,a850),a844)),f857(a850,f857(f856(a850,a850),a844)),a850),f775(f10(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844),a850),f277(f856(a850,a850),f856(a850,a850),a111))),f775(f775(f9(a850,f857(f856(a850,a850),a844),f857(a850,f857(f856(a850,a850),a844))),f775(f775(f10(f857(a850,f857(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f857(f857(f856(a850,a850),a844),f857(a850,f857(f856(a850,a850),a844))),a850),f9(a850,f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f10(f857(a850,f856(a850,a850)),f857(a850,f857(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),a850),f775(f10(f856(a850,a850),f857(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),a850),f302(f856(a850,a850)))),f775(f9(a850,a850,f856(a850,a850)),f241(a850,a850))))),f180(f857(f856(a850,a850),a844))))))),f775(f81(a1),x43341))
% 184.24/184.08 [4190]E(f775(f775(f82(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x41901),f775(a114,f775(a114,x41901)))
% 184.24/184.08 [4191]E(f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x41911),f775(f775(f82(a850),x41911),x41911))
% 184.24/184.08 [4224]E(f775(f775(f43(a850),f775(a114,f775(a114,x42241))),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(a114,f775(f775(f43(a850),x42241),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.24/184.08 [4275]E(f775(f775(f82(a850),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99))),x42751),f775(a114,f775(a114,f775(a114,x42751))))
% 184.24/184.08 [4355]E(f775(f251(a1,a1,f856(a1,a1)),f775(f775(f20(a1,f857(a1,f856(a1,a1)),f857(a1,f856(a1,a1))),f775(f775(f10(f857(a1,f857(f856(a1,a1),f856(a1,a1))),f857(f857(a1,f856(a1,a1)),f857(a1,f856(a1,a1))),a1),f20(a1,f856(a1,a1),f856(a1,a1))),f775(f775(f10(f857(a1,f856(a1,a1)),f857(a1,f857(f856(a1,a1),f856(a1,a1))),a1),f775(f20(a1,f856(a1,a1),f857(f856(a1,a1),f856(a1,a1))),f775(f775(f10(a844,f857(f856(a1,a1),f857(f856(a1,a1),f856(a1,a1))),a1),f98(f856(a1,a1))),f775(f775(f10(a1,a844,a1),f775(f232(a1),f2(a1))),f775(f775(f9(a1,a1,a1),f3(a1)),x43551))))),f775(f775(f9(a1,f857(a1,a1),f857(a1,f856(a1,a1))),f775(f775(f10(f857(a1,f856(a1,a1)),f857(f857(a1,a1),f857(a1,f856(a1,a1))),a1),f10(a1,f856(a1,a1),a1)),f775(f775(f10(a1,f857(a1,f856(a1,a1)),a1),f241(a1,a1)),f775(f775(f9(a1,a1,a1),f775(f775(f10(a1,f857(a1,a1),a1),f82(a1)),f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))),f80(a1))))),f775(f775(f9(a1,a1,a1),f3(a1)),x43551))))),f775(f775(f10(a1,f857(a1,f856(a1,a1)),a1),f241(a1,a1)),f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))),f50(x43551))
% 184.24/184.08 [3402]P39(a25,x34021,x34022,x34021)
% 184.24/184.08 [3059]P18(a1,f163(x30591,x30592))
% 184.24/184.08 [3155]P47(x31551,x31552,f260(x31551,x31552))
% 184.24/184.08 [3156]P53(x31561,x31561,f260(x31561,x31562))
% 184.24/184.08 [3426]P29(x34261,x34261,f7(x34261),x34262)
% 184.24/184.08 [3427]P29(x34271,x34271,f39(x34271),x34272)
% 184.24/184.08 [3434]P34(x34341,x34342,f115(x34341),f115(x34341))
% 184.24/184.08 [3435]P29(x34351,f854(x34351),f227(x34351),x34352)
% 184.24/184.08 [3445]P29(f851(x34451),f851(x34451),f142(x34451),x34452)
% 184.24/184.08 [4369]~E(f35(x43691,x43692),a25)
% 184.24/184.08 [4370]~E(f36(x43701,x43702),a25)
% 184.24/184.08 [4371]~E(f28(x43711,x43712),a25)
% 184.24/184.08 [3027]E(f775(f7(x30271),x30272),x30272)
% 184.24/184.08 [3028]E(f775(f256(x30281),x30282),x30282)
% 184.24/184.08 [3030]E(f775(f39(x30301),x30302),x30302)
% 184.24/184.08 [3039]E(f775(f184(x30391),x30392),f117(x30391))
% 184.24/184.08 [3047]E(f34(f28(x30471,x30472)),f2(a850))
% 184.24/184.08 [3057]E(f87(x30571,f775(a330,x30572)),x30572)
% 184.24/184.08 [3058]E(f92(x30581,f775(a330,x30582)),x30582)
% 184.24/184.08 [3075]E(f775(f181(a845),f28(x30751,x30752)),f2(a850))
% 184.24/184.08 [3080]E(f775(f126(x30801,x30802),f115(x30801)),f115(x30801))
% 184.24/184.08 [3099]E(f300(x30991,f300(x30991,x30992)),f300(x30991,x30992))
% 184.24/184.08 [3120]E(f775(f775(f125(x31201),x31202),f115(x31201)),x31202)
% 184.24/184.08 [3129]E(f775(f775(f159(x31291),x31292),f115(x31291)),f115(x31291))
% 184.24/184.08 [3130]E(f775(f775(f128(x31301),x31302),f115(x31301)),f115(x31301))
% 184.24/184.08 [3132]E(f228(x31321,x31322,f183(x31321)),f2(a850))
% 184.24/184.08 [3133]E(f144(x31331,x31332,f115(x31331)),f2(a850))
% 184.24/184.08 [3135]E(f151(x31351,x31352,f115(x31351)),f115(x31351))
% 184.24/184.08 [3136]E(f162(x31361,x31362,f115(x31361)),f115(x31361))
% 184.24/184.08 [3137]E(f160(x31371,f115(x31371),x31372),f115(x31371))
% 184.24/184.08 [3143]E(f775(f259(x31431,x31431),f260(x31431,x31432)),x31432)
% 184.24/184.08 [3144]E(f775(f261(x31441,x31441),f260(x31441,x31442)),x31442)
% 184.24/184.08 [3153]P1(f775(a26,f28(x31531,x31532)))
% 184.24/184.08 [3154]E(f775(f278(x31541,x31541),f260(x31541,x31542)),f260(x31541,x31542))
% 184.24/184.08 [3167]E(f300(f851(x31671),f146(x31671,x31672)),f147(x31671,f300(x31671,x31672)))
% 184.24/184.08 [3169]P1(f775(f127(a1),f163(x31691,x31692)))
% 184.24/184.08 [3177]E(f775(f259(x31771,x31771),f300(x31771,x31772)),f239(f857(x31771,a844)))
% 184.24/184.08 [3178]E(f775(f261(x31781,x31781),f300(x31781,x31782)),f239(f857(x31781,a844)))
% 184.24/184.08 [3182]P1(f775(f127(x31821),f152(x31821,x31822)))
% 184.24/184.08 [3190]E(f775(f158(a1),f163(x31901,x31902)),f295(a1,x31901,x31902))
% 184.24/184.08 [3205]P54(x32051,f180(f857(x32051,a844)),x32052)
% 184.24/184.08 [3210]E(f775(f250(a1,a1),f53(x32101,x32102)),f52(a1,x32101,x32102))
% 184.24/184.08 [3211]E(f775(f294(a850,x32111),f775(a114,x32112)),f295(a850,x32111,x32112))
% 184.24/184.08 [3238]E(f295(a850,f775(a114,x32381),x32382),f297(a850,x32381,x32382))
% 184.24/184.08 [3241]P47(x32411,f239(f857(x32411,a844)),f300(x32411,x32412))
% 184.24/184.08 [3304]E(f775(f775(f3(a850),x33041),f775(a114,x33042)),f775(f42(a850),f298(a850,x33042,x33041)))
% 184.24/184.08 [3359]E(f156(x33591,x33592,f115(x33591)),f775(f775(f241(f851(x33591),f851(x33591)),f115(x33591)),f115(x33591)))
% 184.24/184.08 [3378]E(f775(f251(x33781,x33782,f856(x33781,x33782)),f241(x33781,x33782)),f39(f856(x33781,x33782)))
% 184.24/184.08 [3383]P1(f775(f775(f334(f851(x33831)),f115(x33831)),f149(x33831,x33832)))
% 184.24/184.08 [3384]E(f775(f181(f851(x33841)),f116(x33841,x33842)),f775(f775(f3(a850),f775(f181(f851(x33841)),x33842)),f80(a850)))
% 184.24/184.08 [3393]P1(f775(f63(a850),f295(a850,x33931,x33932)))
% 184.24/184.08 [3394]P1(f775(f63(a850),f297(a850,x33941,x33942)))
% 184.24/184.08 [3395]P1(f775(f63(a850),f298(a850,x33951,x33952)))
% 184.24/184.08 [3396]P1(f775(f63(a1),f295(a1,x33961,x33962)))
% 184.24/184.08 [3397]P1(f775(f63(a1),f297(a1,x33971,x33972)))
% 184.24/184.08 [3398]P1(f775(f63(a1),f298(a1,x33981,x33982)))
% 184.24/184.08 [3503]E(f775(f303(a850,a850,a114),f295(a850,x35031,x35032)),f295(a850,f775(a114,x35031),f775(a114,x35032)))
% 184.24/184.08 [3520]E(f775(f775(f281(x35201,x35201,x35201),f300(x35201,x35202)),f300(x35201,x35202)),f300(x35201,x35202))
% 184.24/184.08 [3550]E(f775(f775(f241(a1,a1),f775(f775(f43(a1),x35501),x35502)),f52(a1,x35501,x35502)),f53(x35501,x35502))
% 184.24/184.08 [3551]E(f775(f775(f241(a101,a101),f775(f775(f43(a101),x35511),x35512)),f52(a101,x35511,x35512)),f24(x35511,x35512))
% 184.24/184.08 [3580]E(f775(f775(f241(a850,a850),f775(f775(f43(a850),x35801),x35802)),f52(a850,x35801,x35802)),f87(f856(a850,a850),f55(x35801,x35802)))
% 184.24/184.08 [3632]P1(f775(f775(f233(a850),f775(f775(f3(a850),x36321),x36322)),f775(a114,x36321)))
% 184.24/184.08 [3733]E(f775(f775(f82(a1),f775(f775(f83(a1),x37331),f775(f775(f43(a1),x37332),x37331))),f52(a1,x37332,x37331)),x37332)
% 184.24/184.08 [3737]E(f775(f775(f46(a850,f857(f856(f851(x37371),f851(x37371)),a844)),f239(f857(a850,a844))),f133(x37371,x37372)),f135(x37371,x37372))
% 184.24/184.08 [3962]P1(f775(f775(f334(f856(f851(x39621),f851(x39621))),f775(f775(f241(f851(x39621),f851(x39621)),f115(x39621)),f115(x39621))),f147(x39621,x39622)))
% 184.24/184.08 [4125]E(f252(x41251,x41251,x41252,x41252,f7(x41251),f7(x41252)),f39(f856(x41251,x41252)))
% 184.24/184.08 [4127]E(f252(x41271,x41271,x41272,x41272,f39(x41271),f39(x41272)),f39(f856(x41271,x41272)))
% 184.24/184.08 [4379]~E(f775(f227(x43791),x43792),f183(x43791))
% 184.24/184.08 [4397]~P37(x43971,f775(f227(x43971),x43972))
% 184.24/184.08 [3118]E(f775(f231(x31181),f775(f227(x31181),x31182)),x31182)
% 184.24/184.08 [3119]E(f775(f142(x31191),f775(f142(x31191),x31192)),x31192)
% 184.24/184.08 [3121]E(f775(f775(f128(x31211),f2(a850)),x31212),x31212)
% 184.24/184.08 [3131]E(f775(f775(f159(x31311),f2(a850)),x31312),f115(x31311))
% 184.24/184.08 [3139]E(f775(f775(f125(x31391),f115(x31391)),x31392),x31392)
% 184.24/184.08 [3146]E(f775(f181(f854(x31461)),f775(f227(x31461),x31462)),f2(a850))
% 184.24/184.08 [3148]E(f44(f857(x31481,a844),f775(f301(x31481),x31482)),x31482)
% 184.24/184.08 [3150]E(f775(f158(x31501),f775(f141(x31501),x31502)),f775(f158(x31501),x31502))
% 184.24/184.08 [3151]E(f775(f158(x31511),f775(f142(x31511),x31512)),f775(f158(x31511),x31512))
% 184.24/184.08 [3158]E(f775(f775(f3(a101),x31581),x31582),f775(f775(a4,x31581),x31582))
% 184.24/184.08 [3171]E(f775(f775(f82(a850),x31711),x31712),f775(f775(f82(a850),x31712),x31711))
% 184.24/184.08 [3172]E(f775(f775(f82(a1),x31721),x31722),f775(f775(f82(a1),x31722),x31721))
% 184.24/184.08 [3173]E(f775(f775(f83(a850),x31731),x31732),f775(f775(f83(a850),x31732),x31731))
% 184.24/184.08 [3174]E(f775(f775(f83(a1),x31741),x31742),f775(f775(f83(a1),x31742),x31741))
% 184.24/184.08 [3197]E(f775(f775(f173(x31971,x31971),f2(a850)),x31972),f39(x31971))
% 184.24/184.08 [3198]E(f775(f181(f851(x31981)),f775(f141(x31981),x31982)),f775(f181(f851(x31981)),x31982))
% 184.24/184.08 [3199]E(f775(f181(f851(x31991)),f775(f142(x31991),x31992)),f775(f181(f851(x31991)),x31992))
% 184.24/184.08 [3200]E(f160(x32001,x32002,f180(f857(a850,a844))),f115(x32001))
% 184.24/184.08 [3201]E(f775(f775(f143(x32011,x32011),f7(x32011)),x32012),x32012)
% 184.24/184.08 [3203]E(f775(f240(a1,a1),f53(x32031,x32032)),f775(f775(f43(a1),x32031),x32032))
% 184.24/184.08 [3221]E(f34(f35(x32211,x32212)),f775(f775(f82(a850),f34(x32212)),f775(a114,f2(a850))))
% 184.24/184.08 [3222]E(f775(f276(x32221),f775(f278(x32221,x32221),x32222)),f775(f276(x32221),x32222))
% 184.24/184.08 [3226]P1(f775(f63(x32261),f775(f158(x32261),x32262)))
% 184.24/184.08 [3233]E(f775(f775(f82(a1),x32331),f775(f81(a1),x32332)),f775(f775(f3(a1),x32331),x32332))
% 184.24/184.08 [3240]P28(x32401,x32402,f180(f857(f849(x32401),a844)))
% 184.24/184.08 [3244]E(f775(f303(x32441,x32441,f7(x32441)),x32442),x32442)
% 184.24/184.08 [3245]E(f775(f303(x32451,x32451,f39(x32451)),x32452),x32452)
% 184.24/184.08 [3246]E(f775(f305(x32461,x32461,f7(x32461)),x32462),x32462)
% 184.24/184.08 [3247]E(f775(f305(x32471,x32471,f39(x32471)),x32472),x32472)
% 184.24/184.08 [3248]P1(f775(f239(f857(x32481,a844)),x32482))
% 184.24/184.08 [3250]E(f775(f42(a850),f775(f294(a850,x32501),x32502)),f775(f775(f3(a850),x32502),x32501))
% 184.24/184.08 [3251]E(f775(f294(a850,f775(a114,x32511)),x32512),f298(a850,x32511,x32512))
% 184.24/184.08 [3263]E(f775(f775(f302(x32631),x32632),f180(f857(x32631,a844))),f775(f256(x32631),f775(a330,x32632)))
% 184.24/184.08 [3269]E(f775(f775(f302(x32691),x32692),f180(f857(x32691,a844))),f226(x32691,f775(f227(x32691),x32692)))
% 184.24/184.08 [3271]E(f300(x32711,f775(f278(x32711,x32711),x32712)),f775(f278(x32711,x32711),f300(x32711,x32712)))
% 184.24/184.08 [3275]E(f775(f775(f82(a850),f775(a114,x32751)),x32752),f775(f775(f82(a850),x32751),f775(a114,x32752)))
% 184.24/184.08 [3276]E(f775(f775(f3(a850),f775(a114,x32761)),f775(a114,x32762)),f775(f775(f3(a850),x32761),x32762))
% 184.24/184.08 [3281]E(f775(f42(a850),f297(a850,x32811,x32812)),f775(f775(f3(a850),x32812),x32811))
% 184.24/184.08 [3290]P36(x32901,f775(f775(f280(a850,x32901),a237),x32902))
% 184.24/184.08 [3292]P18(a850,f130(a850,f775(f294(a850,x32921),x32922)))
% 184.24/184.08 [3294]P1(f775(f63(a850),f775(f294(a850,x32941),x32942)))
% 184.24/184.08 [3295]P1(f775(f63(a1),f775(f294(a1,x32951),x32952)))
% 184.24/184.08 [3297]E(f775(f278(f851(x32971),f851(x32971)),f146(x32971,x32972)),f146(x32971,f775(f278(x32971,x32971),x32972)))
% 184.24/184.08 [3298]E(f775(f181(a845),f35(x32981,x32982)),f775(f775(f82(a850),f775(f181(a845),x32982)),f775(a114,f2(a850))))
% 184.24/184.08 [3300]E(f775(f294(a1,x33001),f775(f775(f82(a1),x33002),f80(a1))),f295(a1,x33001,x33002))
% 184.24/184.08 [3303]E(f775(f775(f43(a1),f775(f81(a1),x33031)),f775(f81(a1),x33032)),f775(f775(f43(a1),x33031),x33032))
% 184.24/184.08 [3311]E(f171(x33111,x33112,f775(f18(f854(x33112),x33111),f183(x33112))),f180(f857(x33112,a844)))
% 184.24/184.08 [3312]E(f169(x33121,x33122,f775(f18(f854(x33122),x33121),f183(x33122))),f180(f857(x33121,a844)))
% 184.24/184.08 [3313]E(f775(f775(f173(f856(x33131,x33131),a844),f80(a850)),x33132),x33132)
% 184.24/184.08 [3315]E(f775(f775(f3(f857(x33151,a844)),x33152),f180(f857(x33151,a844))),x33152)
% 184.24/184.08 [3316]E(f775(f775(f103(f857(x33161,a844)),x33162),f180(f857(x33161,a844))),x33162)
% 184.24/184.08 [3317]E(f775(f775(f104(f857(x33171,a844)),x33172),f239(f857(x33171,a844))),x33172)
% 184.24/184.08 [3318]E(f775(f240(a850,a850),f87(f856(a850,a850),f55(x33181,x33182))),f775(f775(f43(a850),x33181),x33182))
% 184.24/184.08 [3324]E(f307(x33241,f775(a23,x33242),f775(f81(a1),f775(a23,x33242))),f775(f775(f310(a1),x33241),x33242))
% 184.24/184.08 [3325]E(f295(a1,f775(f775(f82(a1),x33251),f80(a1)),x33252),f297(a1,x33251,x33252))
% 184.24/184.08 [3330]E(f775(f250(a850,a850),f87(f856(a850,a850),f55(x33301,x33302))),f52(a850,x33301,x33302))
% 184.24/184.08 [3338]E(f308(x33381,f775(a23,x33382),f775(f81(a1),f775(a23,x33382))),f309(a1,x33381,x33382))
% 184.24/184.08 [3341]P1(f775(f775(f334(x33411),x33412),f239(f857(x33411,a844))))
% 184.24/184.08 [3345]E(f775(f775(f3(a850),f775(a114,x33451)),x33452),f775(f42(a850),f295(a850,x33452,x33451)))
% 184.24/184.08 [3370]E(f775(f775(f3(f857(x33701,a844)),x33702),f239(f857(x33701,a844))),f180(f857(x33701,a844)))
% 184.24/184.08 [3371]E(f775(f775(f103(f857(x33711,a844)),x33712),f239(f857(x33711,a844))),f239(f857(x33711,a844)))
% 184.24/184.08 [3372]E(f775(f775(f104(f857(x33721,a844)),x33722),f180(f857(x33721,a844))),f180(f857(x33721,a844)))
% 184.24/184.08 [3386]E(f52(a1,f775(f102(a1),x33861),f775(f102(a1),x33862)),f775(f102(a1),f52(a850,x33861,x33862)))
% 184.24/184.08 [3387]E(f52(a1,f775(f81(a1),x33871),f775(f81(a1),x33872)),f775(f81(a1),f52(a1,x33871,x33872)))
% 184.24/184.08 [3400]E(f775(f181(f851(x34001)),f775(f157(x34001),x34002)),f775(f775(f3(a850),f775(f181(f851(x34001)),x34002)),f80(a850)))
% 184.24/184.08 [3428]E(f775(f775(f43(a1),f52(a1,x34281,x34282)),x34282),f2(a1))
% 184.24/184.08 [3437]E(f775(a5,f52(a850,f775(a22,x34371),f775(a22,x34372))),f52(a101,x34371,x34372))
% 184.24/184.08 [3470]E(f775(a5,f775(f775(f82(a850),f775(a22,x34701)),f775(a22,x34702))),f775(f775(f82(a101),x34701),x34702))
% 184.24/184.08 [3471]E(f775(a5,f775(f775(f83(a850),f775(a22,x34711)),f775(a22,x34712))),f775(f775(f83(a101),x34711),x34712))
% 184.24/184.08 [3472]E(f775(a5,f775(f775(f43(a850),f775(a22,x34721)),f775(a22,x34722))),f775(f775(f43(a101),x34721),x34722))
% 184.24/184.08 [3473]E(f775(a5,f775(f775(f3(a850),f775(a22,x34731)),f775(a22,x34732))),f775(f775(f3(a101),x34731),x34732))
% 184.24/184.08 [3482]E(f775(f303(a850,a850,a114),f775(f294(a850,x34821),x34822)),f775(f294(a850,f775(a114,x34821)),f775(a114,x34822)))
% 184.24/184.08 [3508]P1(f775(f55(x35081,x35082),f87(f856(a850,a850),f55(x35081,x35082))))
% 184.24/184.08 [3525]E(f775(f775(f82(a850),f775(f775(f82(a850),f34(x35251)),f34(x35252))),f775(a114,f2(a850))),f34(f36(x35251,x35252)))
% 184.24/184.08 [3526]E(f52(a850,f775(a114,f52(a850,x35261,x35262)),x35262),f52(a850,f775(a114,x35261),x35262))
% 184.24/184.08 [3540]E(f775(f775(f47(f857(x35401,a844),f857(x35401,a844)),x35402),f7(f857(x35401,a844))),f45(f857(x35401,a844),x35402))
% 184.24/184.08 [3541]E(f775(f775(f46(f857(x35411,a844),f857(x35411,a844)),x35412),f7(f857(x35411,a844))),f44(f857(x35411,a844),x35412))
% 184.24/184.08 [3544]P1(f775(f775(f334(f857(x35441,a844)),x35442),f775(f301(x35441),x35442)))
% 184.24/184.08 [3549]E(f52(a1,f775(f81(a1),f52(a1,x35491,x35492)),x35492),f52(a1,f775(f81(a1),x35491),x35492))
% 184.24/184.08 [3561]P1(f775(f775(f232(f857(x35611,a844)),x35612),f239(f857(x35611,a844))))
% 184.24/184.08 [3563]E(f775(f775(f281(x35631,x35631,x35631),f300(x35631,x35632)),f300(x35631,f300(x35631,x35632))),f300(x35631,x35632))
% 184.24/184.08 [3564]E(f775(f775(f103(f857(x35641,a844)),f775(f261(x35641,x35641),x35642)),f775(f259(x35641,x35641),x35642)),f775(f276(x35641),x35642))
% 184.24/184.08 [3586]E(f314(x35861,x35862,f239(f857(x35861,a844)),f239(f857(x35862,a844))),f239(f857(f858(x35861,x35862),a844)))
% 184.24/184.08 [3637]P1(f775(f775(f232(a850),f52(a850,x36371,x36372)),x36371))
% 184.24/184.08 [3661]P1(f775(f775(f232(a1),f775(f81(a1),f775(f102(a1),x36611))),f775(f102(a1),x36612)))
% 184.24/184.08 [3686]P1(f775(f775(f334(f857(x36861,a844)),f180(f857(x36861,a844))),f775(f301(x36861),x36862)))
% 184.24/184.08 [3691]E(f300(x36911,f775(f775(f281(x36911,x36911,x36911),x36912),f300(x36911,x36912))),f300(x36911,x36912))
% 184.24/184.08 [3694]E(f775(f775(f281(x36941,x36941,x36941),f300(x36941,x36942)),x36942),f775(f775(f281(x36941,x36941,x36941),x36942),f300(x36941,x36942)))
% 184.24/184.08 [3696]E(f775(a107,f775(f775(f82(a1),f775(f775(f3(a1),x36961),x36962)),f80(a1))),f775(f42(a1),f295(a1,x36962,x36961)))
% 184.24/184.08 [3713]E(f775(f259(x37131,x37131),f775(f775(f281(x37131,x37131,x37131),x37132),f300(x37131,x37132))),f775(f259(x37131,x37131),x37132))
% 184.24/184.08 [3714]E(f775(f261(x37141,x37141),f775(f775(f281(x37141,x37141,x37141),x37142),f300(x37141,x37142))),f775(f261(x37141,x37141),x37142))
% 184.24/184.08 [3729]E(f775(f775(f82(a850),f775(f775(f82(a850),f775(f181(a845),x37291)),f775(f181(a845),x37292))),f775(a114,f2(a850))),f775(f181(a845),f36(x37291,x37292)))
% 184.24/184.08 [3741]P29(a850,a850,f775(f775(f9(a850,a850,a850),f82(a850)),x37411),x37412)
% 184.24/184.08 [3743]P18(a850,f775(f142(a850),f775(f775(f143(f851(x37431),a850),f181(f851(x37431))),f164(x37431,x37432))))
% 184.24/184.08 [3790]P1(f775(f775(f233(a1),f775(f81(a1),f775(f102(a1),f775(a114,x37901)))),f775(f102(a1),x37902)))
% 184.24/184.08 [3830]E(f775(f132(f851(x38301),x38301,f775(f9(x38301,f851(x38301),f851(x38301)),f140(x38301)),f115(x38301)),x38302),f775(f142(x38301),x38302))
% 184.24/184.08 [3879]P1(f775(f775(f232(f857(f856(f851(x38791),f851(x38791)),a844)),f147(x38791,x38792)),f300(f851(x38791),f146(x38791,x38792))))
% 184.24/184.08 [3912]P1(f775(f55(x39121,x39122),f775(f775(f241(a850,a850),f775(f775(f43(a850),x39121),x39122)),f52(a850,x39121,x39122))))
% 184.24/184.08 [3923]P1(f775(f775(f232(f857(f856(f851(x39231),f851(x39231)),a844)),f146(x39231,f300(x39231,x39232))),f300(f851(x39231),f146(x39231,x39232))))
% 184.24/184.08 [4154]E(f775(f775(f253(f856(a101,a101),a101,f856(a101,a101),f856(x41541,f856(a101,a101))),f264(f775(f155(a101),f775(f775(f143(f856(a101,x41541),a101),f240(a101,x41541)),x41542)))),f775(f775(f10(x41541,f857(f856(a101,a101),f856(x41541,f856(a101,a101))),a101),f241(x41541,f856(a101,a101))),f265(x41541,x41542))),f263(x41541,x41542))
% 184.24/184.08 [4333]E(f775(f251(f857(f856(x43331,x43331),a844),f857(f856(x43331,x43331),a844),f857(f857(x43332,x43331),f856(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844)))),f775(f775(f9(f857(f856(x43331,x43331),a844),f857(f857(f856(x43331,x43331),a844),f857(f857(x43332,x43331),f857(f856(x43332,x43332),a844))),f857(f857(f856(x43331,x43331),a844),f857(f857(x43332,x43331),f856(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844))))),f775(f775(f10(f857(f857(f857(x43332,x43331),f857(f856(x43332,x43332),a844)),f857(f857(x43332,x43331),f856(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844)))),f857(f857(f857(f856(x43331,x43331),a844),f857(f857(x43332,x43331),f857(f856(x43332,x43332),a844))),f857(f857(f856(x43331,x43331),a844),f857(f857(x43332,x43331),f856(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844))))),f857(f856(x43331,x43331),a844)),f10(f857(f857(x43332,x43331),f857(f856(x43332,x43332),a844)),f857(f857(x43332,x43331),f856(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844))),f857(f856(x43331,x43331),a844))),f775(f775(f10(f857(f857(x43332,x43331),f857(f857(f856(x43332,x43332),a844),f856(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844)))),f857(f857(f857(x43332,x43331),f857(f856(x43332,x43332),a844)),f857(f857(x43332,x43331),f856(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844)))),f857(f856(x43331,x43331),a844)),f20(f857(x43332,x43331),f857(f856(x43332,x43332),a844),f856(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844)))),f775(f775(f10(f857(f857(x43332,x43331),f857(f856(x43332,x43332),a844)),f857(f857(x43332,x43331),f857(f857(f856(x43332,x43332),a844),f856(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844)))),f857(f856(x43331,x43331),a844)),f775(f10(f857(f856(x43332,x43332),a844),f857(f857(f856(x43332,x43332),a844),f856(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844))),f857(x43332,x43331)),f241(f857(f856(x43332,x43332),a844),f857(f856(x43332,x43332),a844)))),f280(x43331,x43332))))),f280(x43331,x43332))),f76(x43331,x43332))
% 184.24/184.08 [4447]~E(f775(f301(x44471),x44472),f180(f857(f857(x44471,a844),a844)))
% 184.24/184.08 [4465]~P1(f775(f775(f334(x44651),x44652),f180(f857(x44651,a844))))
% 184.24/184.08 [4474]~P1(f775(f775(f233(f857(x44741,a844)),x44742),f180(f857(x44741,a844))))
% 184.24/184.08 [3253]E(f775(f775(f3(a850),x32531),f775(f775(f82(a850),x32531),x32532)),f2(a850))
% 184.24/184.08 [3255]E(f775(f775(f103(f857(x32551,a844)),x32552),x32552),x32552)
% 184.24/184.08 [3256]E(f775(f775(f104(f857(x32561,a844)),x32562),x32562),x32562)
% 184.24/184.08 [3283]E(f775(f775(f3(f857(x32831,a844)),x32832),x32832),f180(f857(x32831,a844)))
% 184.24/184.08 [3286]E(f775(f133(x32861,x32862),f2(a850)),f180(f857(f856(f851(x32861),f851(x32861)),a844)))
% 184.24/184.08 [3287]E(f775(f775(f82(a850),x32871),f775(a114,x32872)),f775(a114,f775(f775(f82(a850),x32871),x32872)))
% 184.24/184.08 [3299]E(f188(f775(f102(a1),x32991),f775(f102(a1),x32992)),f775(f102(a1),f775(f775(f3(a850),x32991),x32992)))
% 184.24/184.08 [3302]E(f775(f775(f43(a1),f775(f81(a1),x33021)),x33022),f775(f775(f43(a1),x33021),f775(f81(a1),x33022)))
% 184.24/184.08 [3306]E(f775(f42(a1),f775(f294(a1,x33061),x33062)),f775(a107,f775(f775(f3(a1),x33062),x33061)))
% 184.24/184.08 [3309]E(f775(f775(f82(a850),f775(a114,x33091)),x33092),f775(a114,f775(f775(f82(a850),x33091),x33092)))
% 184.24/184.08 [3314]E(f775(f81(f857(x33141,a844)),f775(f81(f857(x33141,a844)),x33142)),x33142)
% 184.24/184.08 [3327]E(f164(x33271,f775(f775(f140(f851(x33271)),f115(x33271)),x33272)),f164(x33271,x33272))
% 184.24/184.08 [3331]E(f775(f775(f82(a850),x33311),f775(f775(f83(a850),x33311),x33312)),f775(f775(f83(a850),x33311),f775(a114,x33312)))
% 184.24/184.08 [3339]E(f775(f775(a4,f775(a5,x33391)),f775(a5,x33392)),f775(a5,f775(f775(f3(a850),x33391),x33392)))
% 184.24/184.08 [3350]E(f775(f775(f83(a1),f775(f81(a1),x33501)),x33502),f775(f81(a1),f775(f775(f83(a1),x33501),x33502)))
% 184.24/184.08 [3352]E(f775(f775(f242(a1),f775(f102(a1),x33521)),x33522),f775(f102(a1),f775(f775(f242(a850),x33521),x33522)))
% 184.24/184.08 [3353]E(f775(f775(f82(a101),f775(a5,x33531)),f775(a5,x33532)),f775(a5,f775(f775(f82(a850),x33531),x33532)))
% 184.24/184.08 [3354]E(f775(f775(f83(a101),f775(a5,x33541)),f775(a5,x33542)),f775(a5,f775(f775(f83(a850),x33541),x33542)))
% 184.24/184.08 [3355]E(f775(f775(f236(a850),f775(a114,x33551)),f775(a114,x33552)),f775(a114,f775(f775(f236(a850),x33551),x33552)))
% 184.24/184.08 [3356]E(f775(f775(f179(a850),f775(a114,x33561)),f775(a114,x33562)),f775(a114,f775(f775(f179(a850),x33561),x33562)))
% 184.24/184.08 [3362]E(f775(f158(a850),f130(a850,f775(f294(a850,x33621),x33622))),f775(f294(a850,x33621),x33622))
% 184.24/184.08 [3363]E(f306(x33631,f775(f775(f302(x33631),x33632),f180(f857(x33631,a844)))),x33632)
% 184.24/184.08 [3368]E(f775(f259(x33681,x33682),f180(f857(f856(x33681,x33682),a844))),f180(f857(x33682,a844)))
% 184.24/184.08 [3369]E(f775(f261(x33691,x33692),f180(f857(f856(x33691,x33692),a844))),f180(f857(x33691,a844)))
% 184.24/184.08 [3373]E(f775(a107,f775(f775(f3(a1),x33731),x33732)),f775(f42(a1),f297(a1,x33732,x33731)))
% 184.24/184.08 [3377]E(f775(f775(f82(a850),x33771),f775(f775(f83(a850),x33772),x33771)),f775(f775(f83(a850),f775(a114,x33772)),x33771))
% 184.24/184.08 [3379]E(f775(f775(f61(x33791),f180(f857(x33791,a844))),x33792),f180(f857(f857(x33791,a844),a844)))
% 184.24/184.08 [3388]E(f775(f181(f851(a850)),f130(a850,f775(f294(a850,x33881),x33882))),f775(f775(f3(a850),x33882),x33881))
% 184.24/184.08 [3407]E(f775(f775(f103(f857(x34071,a844)),f180(f857(x34071,a844))),x34072),x34072)
% 184.24/184.08 [3408]E(f775(f775(f104(f857(x34081,a844)),f239(f857(x34081,a844))),x34082),x34082)
% 184.24/184.08 [3411]E(f775(f775(f82(a1),f775(f81(a1),x34111)),f775(f81(a1),x34112)),f775(f81(a1),f775(f775(f82(a1),x34111),x34112)))
% 184.24/184.08 [3414]E(f775(f775(f82(a1),f775(f102(a1),x34141)),f775(f102(a1),x34142)),f775(f102(a1),f775(f775(f82(a850),x34141),x34142)))
% 184.24/184.08 [3415]E(f775(f775(f82(a1),f775(f106(a1),x34151)),f775(f106(a1),x34152)),f775(f106(a1),f775(f775(f82(a1),x34151),x34152)))
% 184.24/184.08 [3417]E(f775(f775(f83(a1),f775(f102(a1),x34171)),f775(f102(a1),x34172)),f775(f102(a1),f775(f775(f83(a850),x34171),x34172)))
% 184.24/184.08 [3418]E(f775(f775(f83(a1),f775(f106(a1),x34181)),f775(f106(a1),x34182)),f775(f106(a1),f775(f775(f83(a1),x34181),x34182)))
% 184.24/184.08 [3419]E(f775(f775(f43(a1),f775(f102(a1),x34191)),f775(f102(a1),x34192)),f775(f102(a1),f775(f775(f43(a850),x34191),x34192)))
% 184.24/184.08 [3438]E(f775(f775(f8(x34381,a850),f775(f18(a850,x34381),f80(a850))),x34382),f775(f42(x34381),x34382))
% 184.24/184.08 [3446]E(f775(f81(a1),f52(a1,f775(f81(a1),x34461),x34462)),f52(a1,x34461,f775(f81(a1),x34462)))
% 184.24/184.08 [3448]E(f775(f158(a1),f163(x34481,f775(f775(f3(a1),x34482),f80(a1)))),f775(f294(a1,x34481),x34482))
% 184.24/184.08 [3452]P1(f775(f775(f232(a850),x34521),f775(f775(f82(a850),x34522),x34521)))
% 184.24/184.08 [3453]P1(f775(f775(f232(a850),x34531),f775(f775(f82(a850),x34531),x34532)))
% 184.24/184.08 [3456]E(f775(f775(f3(f857(x34561,a844)),f180(f857(x34561,a844))),x34562),f180(f857(x34561,a844)))
% 184.24/184.08 [3457]E(f775(f775(f103(f857(x34571,a844)),f239(f857(x34571,a844))),x34572),f239(f857(x34571,a844)))
% 184.24/184.08 [3458]E(f775(f775(f104(f857(x34581,a844)),f180(f857(x34581,a844))),x34582),f180(f857(x34581,a844)))
% 184.24/184.08 [3463]E(f775(f775(f241(a1,a1),x34631),f775(f81(a1),x34632)),f775(a58,f775(f775(f241(a1,a1),x34631),x34632)))
% 184.24/184.08 [3464]E(f775(f294(a1,f775(f775(f82(a1),x34641),f80(a1))),x34642),f298(a1,x34641,x34642))
% 184.24/184.08 [3474]E(f775(f775(f83(a850),x34741),f775(f775(f43(a850),x34742),x34741)),f775(f775(f3(a850),x34742),f52(a850,x34742,x34741)))
% 184.24/184.08 [3475]E(f775(f775(f83(a1),x34751),f775(f775(f43(a1),x34752),x34751)),f775(f775(f3(a1),x34752),f52(a1,x34752,x34751)))
% 184.24/184.08 [3479]E(f775(f158(a1),f163(f775(f775(f82(a1),x34791),f80(a1)),x34792)),f297(a1,x34791,x34792))
% 184.24/184.08 [3483]P1(f775(f775(f232(f857(x34831,a844)),x34832),x34832))
% 184.24/184.08 [3488]E(f775(f775(f103(f857(x34881,a844)),x34882),f775(f81(f857(x34881,a844)),x34882)),f239(f857(x34881,a844)))
% 184.24/184.08 [3489]E(f775(f775(f104(f857(x34891,a844)),x34892),f775(f81(f857(x34891,a844)),x34892)),f180(f857(x34891,a844)))
% 184.24/184.08 [3495]E(f775(f775(f3(a850),f775(f775(f3(a850),x34951),f80(a850))),x34952),f775(f775(f3(a850),x34951),f775(a114,x34952)))
% 184.24/184.08 [3500]E(f775(f775(f3(f857(x35001,a844)),f239(f857(x35001,a844))),x35002),f775(f81(f857(x35001,a844)),x35002))
% 184.24/184.08 [3501]E(f775(f775(f3(a1),f775(f106(a1),x35011)),f775(f106(a1),x35012)),f775(f106(a1),f775(f775(f82(a1),x35011),f775(f81(a1),x35012))))
% 184.24/184.08 [3513]E(f775(f158(a850),f130(a850,f775(f294(a850,x35131),f775(a114,x35132)))),f295(a850,x35131,x35132))
% 184.24/184.08 [3542]E(f775(f775(f173(f856(x35421,x35421),a844),f2(a850)),x35422),f300(x35421,f180(f857(f856(x35421,x35421),a844))))
% 184.24/184.08 [3546]P1(f775(f127(a850),f130(a850,f775(f294(a850,x35461),x35462))))
% 184.24/184.08 [3562]E(f775(f303(a1,a850,a107),f295(a1,f775(f102(a1),x35621),f775(f102(a1),x35622))),f295(a850,x35621,x35622))
% 184.24/184.08 [3572]E(f175(a850,f2(a850),f7(a850),f775(f775(f3(a850),x35721),x35722)),f775(f775(f3(a850),x35721),f775(a114,x35722)))
% 184.24/184.08 [3573]E(f775(a107,f775(f775(f3(a1),x35731),f775(f775(f82(a1),x35732),f80(a1)))),f775(f42(a1),f298(a1,x35732,x35731)))
% 184.24/184.08 [3608]E(f775(f775(f143(a850,a850),a114),f130(a850,f775(f294(a850,x36081),x36082))),f130(a850,f775(f294(a850,f775(a114,x36081)),f775(a114,x36082))))
% 184.24/184.08 [3615]E(f775(f158(a1),f163(f775(f775(f82(a1),x36151),f80(a1)),f775(f775(f3(a1),x36152),f80(a1)))),f298(a1,x36151,x36152))
% 184.24/184.08 [3629]P1(f775(f775(f232(f857(x36291,a844)),f180(f857(x36291,a844))),x36292))
% 184.24/184.08 [3633]E(f87(x36331,f775(f775(f9(x36331,x36331,a844),a330),x36332)),x36332)
% 184.24/184.08 [3634]E(f92(x36341,f775(f775(f9(x36341,x36341,a844),a330),x36342)),x36342)
% 184.24/184.08 [3638]E(f775(f158(a850),f130(a850,f775(f294(a850,f775(a114,x36381)),f775(a114,x36382)))),f297(a850,x36381,x36382))
% 184.24/184.08 [3664]E(f775(f775(f248(x36641,x36642),f239(f857(x36641,a844))),f775(f18(f857(x36642,a844),x36641),f239(f857(x36642,a844)))),f239(f857(f856(x36641,x36642),a844)))
% 184.24/184.08 [3700]E(f775(f256(x37001),f775(f775(f10(a844,a844,x37001),a328),x37002)),f775(f81(f857(x37001,a844)),f775(f256(x37001),x37002)))
% 184.24/184.08 [3703]E(f775(f256(x37031),f775(f775(f9(x37031,x37031,a844),a330),x37032)),f775(f775(f302(x37031),x37032),f180(f857(x37031,a844))))
% 184.24/184.08 [3710]E(f775(f775(f82(a1),f775(f775(f82(a1),x37101),x37101)),f775(f775(f82(a1),x37102),x37102)),f775(f775(f82(a1),f775(f775(f82(a1),x37101),x37102)),f775(f775(f82(a1),x37101),x37102)))
% 184.24/184.08 [3711]E(f775(f775(f3(a1),f775(f775(f82(a1),x37111),x37111)),f775(f775(f82(a1),x37112),x37112)),f775(f775(f82(a1),f775(f775(f3(a1),x37111),x37112)),f775(f775(f3(a1),x37111),x37112)))
% 184.24/184.08 [3726]P1(f775(f775(f232(a850),f775(f42(x37261),f775(f158(x37261),x37262))),f775(f181(f851(x37261)),x37262)))
% 184.24/184.08 [3727]P1(f775(f775(f232(a850),f775(f181(f851(x37271)),f152(x37271,x37272))),f775(f181(f851(x37271)),x37272)))
% 184.24/184.08 [3738]E(f775(f256(x37381),f775(f775(f9(x37381,f857(x37381,a844),a844),f334(x37381)),x37382)),x37382)
% 184.24/184.08 [3754]E(f775(f775(f159(x37541),f775(f775(f3(a850),f775(f181(f851(x37541)),x37542)),f80(a850))),x37542),f116(x37541,x37542))
% 184.24/184.08 [3777]E(f175(a850,f2(a850),f775(f775(f10(a850,a850,a850),a114),f775(f236(a850),x37771)),x37772),f775(f775(f236(a850),f775(a114,x37771)),x37772))
% 184.24/184.08 [3781]E(f44(f857(x37811,a844),f775(f303(f857(f856(x37811,x37811),a844),f857(x37811,a844),f276(x37811)),x37812)),f775(f276(x37811),f44(f857(f856(x37811,x37811),a844),x37812)))
% 184.24/184.08 [3782]E(f175(a850,f775(a114,x37821),f775(f775(f10(a850,a850,a850),a114),f775(f179(a850),x37821)),x37822),f775(f775(f179(a850),f775(a114,x37821)),x37822))
% 184.24/184.08 [3784]E(f775(f775(f241(a1,a1),f775(f775(f43(a1),f775(f77(a1),x37841)),f775(f77(a1),x37842))),f52(a1,f775(f77(a1),x37841),f775(f77(a1),x37842))),f60(x37841,x37842))
% 184.24/184.08 [3804]P1(f775(f775(f232(f857(f857(x38041,a844),a844)),x38042),f775(f301(x38041),f44(f857(x38041,a844),x38042))))
% 184.24/184.08 [3835]E(f775(f775(f46(x38351,f857(x38351,a844)),x38352),f775(f775(f9(x38351,f857(x38351,a844),f857(x38351,a844)),f302(x38351)),f180(f857(x38351,a844)))),x38352)
% 184.24/184.08 [3836]E(f775(f775(f281(x38361,x38361,x38361),f775(f278(x38361,x38361),x38362)),f300(x38361,f775(f278(x38361,x38361),x38362))),f775(f278(x38361,x38361),f775(f775(f281(x38361,x38361,x38361),x38362),f300(x38361,x38362))))
% 184.24/184.08 [3904]E(f775(f158(x39041),f775(f132(f851(x39041),f851(x39041),f125(x39041),f115(x39041)),x39042)),f775(f775(f46(f851(x39041),f857(x39041,a844)),f775(f158(f851(x39041)),x39042)),f158(x39041)))
% 184.24/184.08 [3935]E(f775(f775(f103(f857(f856(x39351,x39351),a844)),f300(x39351,f180(f857(f856(x39351,x39351),a844)))),f775(f775(f281(x39351,x39351,x39351),f300(x39351,x39352)),x39352)),f300(x39351,x39352))
% 184.24/184.08 [3973]E(f775(f775(f167(x39731,x39731),x39732),x39732),f775(f775(f143(x39731,f856(x39731,x39731)),f775(f775(f20(x39731,x39731,f856(x39731,x39731)),f241(x39731,x39731)),f7(x39731))),x39732))
% 184.24/184.08 [4087]E(f775(f132(a850,f851(x40871),f775(f9(f851(x40871),a850,a850),f775(f775(f10(a850,f857(a850,a850),f851(x40871)),f179(a850)),f181(f851(x40871)))),f2(a850)),f775(f142(f851(x40871)),x40872)),f775(f181(f851(f851(x40871))),f164(x40871,x40872)))
% 184.24/184.08 [4167]E(f775(f775(f280(f856(a850,f851(x41671)),f851(x41671)),f325(a850,f851(x41671),a237,f135(x41671,x41672))),f775(f775(f20(f851(x41671),f851(x41671),f856(a850,f851(x41671))),f775(f775(f10(a850,f857(f851(x41671),f856(a850,f851(x41671))),f851(x41671)),f241(a850,f851(x41671))),f181(f851(x41671)))),f7(f851(x41671)))),f136(x41671,x41672))
% 184.24/184.08 [4290]E(f775(f256(x42901),f775(f775(f10(f857(f857(x42901,a844),a844),a844,x42901),f90(f857(x42901,a844))),f775(f775(f10(f857(f857(x42901,a844),a844),f857(f857(x42901,a844),a844),x42901),f775(f20(f857(x42901,a844),a844,a844),f775(f775(f10(a844,f857(a844,a844),f857(x42901,a844)),a335),f775(f775(f9(f857(x42901,a844),f857(f857(x42901,a844),a844),a844),f334(f857(x42901,a844))),x42902)))),f334(x42901)))),f45(f857(x42901,a844),x42902))
% 184.24/184.08 [4475]~P1(f775(f775(f233(a1),f775(f102(a1),x44751)),f775(f81(a1),f775(f102(a1),x44752))))
% 184.24/184.08 [3375]E(f775(f775(f3(a850),f775(f775(f82(a850),x33751),x33752)),x33752),x33751)
% 184.24/184.08 [3376]E(f775(f775(f3(a850),f775(f775(f82(a850),x33761),x33762)),x33761),x33762)
% 184.24/184.08 [3447]E(f775(f775(f82(a850),f775(f775(f3(a850),x34471),x34472)),x34472),f775(f775(f179(a850),x34471),x34472))
% 184.24/184.08 [3548]E(f775(f775(f83(a850),f775(f775(f43(a850),x35481),x35482)),x35482),f775(f775(f3(a850),x35481),f52(a850,x35481,x35482)))
% 184.24/184.08 [3577]E(f775(f158(a850),f130(a850,f775(f294(a850,f775(a114,x35771)),x35772))),f298(a850,x35771,x35772))
% 184.24/184.08 [3585]E(f775(f102(a1),f211(f775(a107,f775(f77(a1),x35851)),f775(a107,f775(f77(a1),x35852)))),f775(f775(a212,x35851),x35852))
% 184.24/184.08 [3587]E(f775(f775(f103(f857(x35871,a844)),f775(f81(f857(x35871,a844)),x35872)),x35872),f239(f857(x35871,a844)))
% 184.24/184.08 [3588]E(f775(f775(f104(f857(x35881,a844)),f775(f81(f857(x35881,a844)),x35882)),x35882),f180(f857(x35881,a844)))
% 184.24/184.08 [3604]P1(f775(f775(f232(a850),f775(f775(f43(a850),x36041),x36042)),x36041))
% 184.24/184.08 [3605]P1(f775(f775(f232(a850),f775(f775(f3(a850),x36051),x36052)),x36051))
% 184.24/184.08 [3630]P1(f775(f775(f233(a850),x36301),f775(a114,f775(f775(f82(a850),x36302),x36301))))
% 184.24/184.08 [3631]P1(f775(f775(f233(a850),x36311),f775(a114,f775(f775(f82(a850),x36311),x36312))))
% 184.24/184.08 [3650]E(f775(f775(f83(a850),f775(a107,f775(f77(a1),x36501))),f775(a107,f775(f77(a1),x36502))),f775(a107,f775(f77(a1),f775(f775(f83(a1),x36501),x36502))))
% 184.24/184.08 [3660]P1(f775(f775(f232(a1),f2(a1)),f775(f775(f242(a1),f775(f77(a1),x36601)),x36602)))
% 184.24/184.08 [3732]E(f775(f277(f851(x37321),f851(x37321),f147(x37321,x37322)),f775(f775(f302(f851(x37321)),f115(x37321)),f180(f857(f851(x37321),a844)))),f775(f775(f302(f851(x37321)),f115(x37321)),f180(f857(f851(x37321),a844))))
% 184.24/184.08 [3750]E(f775(f775(f103(f857(f856(x37501,x37501),a844)),f300(x37501,x37502)),f300(x37501,f180(f857(f856(x37501,x37501),a844)))),f300(x37501,x37502))
% 184.24/184.08 [3766]E(f775(f775(f43(a1),f775(f106(a1),f775(f775(f82(a1),x37661),x37661))),f775(f106(a1),f775(f775(f82(a1),x37662),x37662))),f775(f775(f43(a1),f775(f106(a1),x37661)),f775(f106(a1),x37662)))
% 184.24/184.08 [3825]E(f775(f775(f242(a1),x38251),f775(f106(a850),f775(f775(f82(a1),x38252),x38252))),f775(f775(f88(a1,a1),f775(f775(f242(a1),x38251),f775(f106(a850),x38252))),f775(f775(f20(a1,a1,a1),f83(a1)),f7(a1))))
% 184.24/184.08 [3831]E(f775(f256(f857(x38311,a844)),f775(f775(f9(f857(x38311,a844),f857(x38311,a844),a844),f232(f857(x38311,a844))),x38312)),f775(f301(x38311),x38312))
% 184.24/184.08 [3878]E(f775(f303(a1,a1,f775(f775(f9(a1,a1,a1),f82(a1)),x38781)),f775(f294(a1,f2(a1)),f775(f775(f3(a1),x38782),x38781))),f775(f294(a1,x38781),x38782))
% 184.24/184.08 [3881]P48(x38811,f775(f775(f3(f857(f856(x38811,x38811),a844)),x38812),f300(x38811,f180(f857(f856(x38811,x38811),a844)))))
% 184.24/184.08 [3901]E(f775(f181(f851(x39011)),f775(f132(f851(x39011),f851(x39011),f125(x39011),f115(x39011)),x39012)),f775(f155(a850),f775(f775(f143(f851(x39011),a850),f181(f851(x39011))),x39012)))
% 184.24/184.08 [3906]P47(x39061,f239(f857(x39061,a844)),f775(f775(f103(f857(f856(x39061,x39061),a844)),x39062),f300(x39061,f180(f857(f856(x39061,x39061),a844)))))
% 184.24/184.08 [3952]E(f175(a850,f2(a850),f775(f775(f10(a850,a850,a850),a114),f775(f775(f9(a850,a850,a850),f236(a850)),x39521)),x39522),f775(f775(f236(a850),x39522),f775(a114,x39521)))
% 184.24/184.08 [3955]E(f175(a850,f775(a114,x39551),f775(f775(f10(a850,a850,a850),a114),f775(f775(f9(a850,a850,a850),f179(a850)),x39551)),x39552),f775(f775(f179(a850),x39552),f775(a114,x39551)))
% 184.24/184.08 [3958]E(f775(f303(x39581,f851(x39581),f775(f775(f9(x39581,f851(x39581),f851(x39581)),f140(x39581)),f115(x39581))),x39582),f161(x39581,x39582,f775(f775(f302(f851(x39581)),f115(x39581)),f180(f857(f851(x39581),a844)))))
% 184.24/184.08 [3959]E(f775(f775(f103(f857(f856(x39591,x39591),a844)),f775(f775(f281(x39591,x39591,x39591),x39592),f300(x39591,x39592))),f300(x39591,f180(f857(f856(x39591,x39591),a844)))),f300(x39591,x39592))
% 184.24/184.08 [3967]P1(f775(f775(f232(f857(f856(x39671,x39671),a844)),f260(x39671,x39672)),f775(f775(f248(x39671,x39671),x39672),f775(f18(f857(x39671,a844),x39671),x39672))))
% 184.24/184.08 [3971]E(f775(f303(a1,a850,a107),f775(f775(f103(f857(a1,a844)),f775(f303(a850,a1,f102(a1)),x39711)),f775(f303(a850,a1,f102(a1)),x39712))),f775(f775(f103(f857(a850,a844)),x39711),x39712))
% 184.24/184.08 [3972]E(f775(f303(a1,a850,a107),f775(f775(f104(f857(a1,a844)),f775(f303(a850,a1,f102(a1)),x39721)),f775(f303(a850,a1,f102(a1)),x39722))),f775(f775(f104(f857(a850,a844)),x39721),x39722))
% 184.24/184.08 [3976]E(f775(f256(x39761),f775(f775(f10(a844,a844,x39761),a328),f775(f775(f9(x39761,f857(x39761,a844),a844),f334(x39761)),x39762))),f775(f81(f857(x39761,a844)),x39762))
% 184.24/184.08 [4003]E(f775(f132(f851(x40031),f851(x40031),f125(x40031),f115(x40031)),f775(f775(f143(f851(x40031),f851(x40031)),f142(x40031)),f775(f142(f851(x40031)),x40032))),f775(f142(x40031),f775(f132(f851(x40031),f851(x40031),f125(x40031),f115(x40031)),x40032)))
% 184.24/184.08 [4030]E(f775(f775(f46(a850,f857(f856(x40301,x40301),a844)),f239(f857(a850,a844))),f775(f775(f9(a850,f857(f856(x40301,x40301),a844),f857(f856(x40301,x40301),a844)),f173(f856(x40301,x40301),a844)),x40302)),f300(x40301,x40302))
% 184.24/184.08 [4052]E(f87(x40521,f775(f775(f10(f857(x40521,a844),a844,x40521),f775(a330,x40522)),f775(f775(f9(x40521,f857(x40521,a844),f857(x40521,a844)),f302(x40521)),f180(f857(x40521,a844))))),f306(x40521,x40522))
% 184.24/184.08 [4060]E(f775(f181(f851(x40601)),f152(x40601,f775(f132(f851(x40601),f851(x40601),f125(x40601),f115(x40601)),x40602))),f775(f42(x40601),f775(f775(f46(f851(x40601),f857(x40601,a844)),f775(f158(f851(x40601)),x40602)),f158(x40601))))
% 184.24/184.08 [4075]E(f775(f775(f103(f857(f856(x40751,x40751),a844)),x40752),f775(f775(f281(x40751,x40751,x40751),f775(f775(f281(x40751,x40751,x40751),x40752),f300(x40751,x40752))),x40752)),f775(f775(f281(x40751,x40751,x40751),x40752),f300(x40751,x40752)))
% 184.24/184.08 [4096]P1(f775(f775(f232(f857(f856(x40961,x40961),a844)),f775(f775(f281(x40961,x40961,x40961),x40962),f300(x40961,x40962))),f775(f775(f248(x40961,x40961),f775(f276(x40961),x40962)),f775(f18(f857(x40961,a844),x40961),f775(f276(x40961),x40962)))))
% 184.24/184.08 [4143]E(f775(f256(f851(x41431)),f775(f775(f9(f851(x41431),f857(x41431,a844),a844),f775(f775(f10(f857(x41431,a844),f857(f857(x41431,a844),a844),f851(x41431)),f232(f857(x41431,a844))),f158(x41431))),x41432)),f149(x41431,x41432))
% 184.24/184.08 [4155]E(f775(f145(f851(x41551),x41551,f115(x41551),f775(f775(f10(f851(x41551),f857(f851(x41551),f851(x41551)),x41551),f775(f9(f851(x41551),f851(x41551),f851(x41551)),f125(x41551))),f775(f775(f9(x41551,f851(x41551),f851(x41551)),f140(x41551)),f115(x41551)))),x41552),f775(f141(x41551),x41552))
% 184.24/184.08 [4194]P29(f857(x41941,x41942),f857(f856(x41941,x41942),a844),f775(f775(f10(f857(f856(x41941,x41942),a844),f857(f856(x41941,x41942),a844),f857(x41941,x41942)),f256(f856(x41941,x41942))),f775(f775(f10(f857(x41941,f857(x41942,a844)),f857(f856(x41941,x41942),a844),f857(x41941,x41942)),f251(x41941,x41942,a844)),f775(f10(x41942,f857(x41942,a844),x41941),f775(f9(x41942,x41942,a844),a330)))),f239(f857(f857(x41941,x41942),a844)))
% 184.24/184.08 [4199]E(f52(a1,f775(f106(a1),f775(f775(f82(a1),x41991),x41991)),f775(f106(a1),f775(f775(f82(a1),x41992),x41992))),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f52(a1,f775(f106(a1),x41991),f775(f106(a1),x41992))))
% 184.24/184.08 [4240]E(f775(f775(f46(x42401,f857(f856(x42401,x42401),a844)),x42402),f775(f775(f9(x42401,f857(f856(x42401,x42401),a844),f857(f856(x42401,x42401),a844)),f775(f775(f10(f856(x42401,x42401),f857(f857(f856(x42401,x42401),a844),f857(f856(x42401,x42401),a844)),x42401),f302(f856(x42401,x42401))),f775(f775(f20(x42401,x42401,f856(x42401,x42401)),f241(x42401,x42401)),f7(x42401)))),f180(f857(f856(x42401,x42401),a844)))),f260(x42401,x42402))
% 184.24/184.08 [4248]E(f198(x42481,f775(f775(f241(a1,a1),f775(f81(a1),f775(f775(f75(f856(a1,a1),a1,x42481,f240(a1,a1)),f207(x42481)),x42482))),f775(f775(f75(f856(a1,a1),a1,x42481,f250(a1,a1)),f207(x42481)),x42482))),f221(x42481,x42482))
% 184.24/184.08 [4328]E(f775(f256(f857(x43281,a844)),f775(f775(f10(f857(f857(x43281,a844),a844),a844,f857(x43281,a844)),f89(f857(x43281,a844))),f775(f775(f9(f857(x43281,a844),f857(f857(x43281,a844),a844),f857(f857(x43281,a844),a844)),f775(f775(f10(f857(f857(x43281,a844),f857(a844,a844)),f857(f857(f857(x43281,a844),a844),f857(f857(x43281,a844),a844)),f857(x43281,a844)),f20(f857(x43281,a844),a844,a844)),f775(f775(f10(f857(f857(x43281,a844),a844),f857(f857(x43281,a844),f857(a844,a844)),f857(x43281,a844)),f775(f10(a844,f857(a844,a844),f857(x43281,a844)),a331)),f775(f775(f9(f857(x43281,a844),f857(f857(x43281,a844),f857(x43281,a844)),f857(f857(x43281,a844),a844)),f775(f775(f10(f857(f857(x43281,a844),a844),f857(f857(f857(x43281,a844),f857(x43281,a844)),f857(f857(x43281,a844),a844)),f857(x43281,a844)),f10(f857(x43281,a844),a844,f857(x43281,a844))),a330)),f81(f857(x43281,a844)))))),f775(f775(f10(f857(f857(x43281,a844),a844),a844,f857(x43281,a844)),f775(f334(f857(x43281,a844)),x43282)),f301(x43281))))),f775(f301(x43281),f775(f81(f857(x43281,a844)),x43282)))
% 184.24/184.08 [4472]~E(f775(f775(f82(a1),x44721),x44721),f775(f775(f3(a1),f775(f775(f82(a1),x44722),x44722)),a99))
% 184.24/184.08 [4477]~P1(f775(f775(f233(a850),f775(f775(f82(a850),x44771),x44772)),x44772))
% 184.24/184.08 [4478]~P1(f775(f775(f233(a850),f775(f775(f82(a850),x44781),x44782)),x44781))
% 184.24/184.08 [3665]E(f775(f775(f3(a850),x36651),f775(f775(f83(a850),f775(f775(f43(a850),x36651),x36652)),x36652)),f52(a850,x36651,x36652))
% 184.24/184.08 [3666]E(f775(f775(f3(a1),x36661),f775(f775(f83(a1),f775(f775(f43(a1),x36661),x36662)),x36662)),f52(a1,x36661,x36662))
% 184.24/184.08 [3701]E(f775(f775(f143(a850,x37011),f775(f153(x37011),x37012)),f130(a850,f775(f294(a850,f2(a850)),f775(f181(f851(x37011)),x37012)))),x37012)
% 184.24/184.08 [3762]E(f775(f277(x37621,x37621,f300(x37621,f180(f857(f856(x37621,x37621),a844)))),x37622),x37622)
% 184.24/184.08 [3882]E(f300(x38821,f775(f775(f3(f857(f856(x38821,x38821),a844)),x38822),f300(x38821,f180(f857(f856(x38821,x38821),a844))))),f300(x38821,x38822))
% 184.24/184.08 [3883]E(f300(x38831,f775(f775(f103(f857(f856(x38831,x38831),a844)),x38832),f300(x38831,f180(f857(f856(x38831,x38831),a844))))),f300(x38831,x38832))
% 184.24/184.08 [3939]E(f775(f775(f3(a1),f775(f775(f3(a1),f775(f775(f82(a1),x39391),x39391)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),x39392),x39392)),a99)),f775(f775(f82(a1),f775(f775(f3(a1),x39391),x39392)),f775(f775(f3(a1),x39391),x39392)))
% 184.24/184.08 [3981]E(f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f82(a1),x39811),x39812)),f775(f775(f82(a1),x39811),x39812))),a99),f775(f775(f82(a1),f775(f775(f82(a1),x39811),x39811)),f775(f775(f3(a1),f775(f775(f82(a1),x39812),x39812)),a99)))
% 184.24/184.08 [4007]E(f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),x40071),x40071)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),x40072),x40072)),a99)),f775(f775(f82(a1),f775(f775(f82(a1),x40071),f775(f775(f3(a1),x40072),a99))),f775(f775(f82(a1),x40071),f775(f775(f3(a1),x40072),a99))))
% 184.24/184.08 [4018]E(f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f82(a1),x40181),x40182)),f775(f775(f82(a1),x40181),x40182))),a99),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),x40181),x40181)),a99)),f775(f775(f82(a1),x40182),x40182)))
% 184.24/184.08 [4019]E(f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),x40191),x40192)),f775(f775(f3(a1),x40191),x40192))),a99),f775(f775(f3(a1),f775(f775(f3(a1),f775(f775(f82(a1),x40191),x40191)),a99)),f775(f775(f82(a1),x40192),x40192)))
% 184.24/184.08 [4072]E(f775(f102(a1),f775(f775(f43(a850),f775(f775(f83(a850),f775(a107,f775(f77(a1),x40721))),f775(a107,f775(f77(a1),x40722)))),f211(f775(a107,f775(f77(a1),x40721)),f775(a107,f775(f77(a1),x40722))))),f213(x40721,x40722))
% 184.24/184.08 [4117]E(f775(f775(f253(f856(a101,a101),a101,f856(a101,a101),f856(x41171,f856(a101,a101))),f264(f775(a5,f775(f181(f851(x41171)),x41172)))),f775(f775(f10(x41171,f857(f856(a101,a101),f856(x41171,f856(a101,a101))),a101),f241(x41171,f856(a101,a101))),f775(f775(f10(a850,x41171,a101),f775(f153(x41171),x41172)),a22))),f270(x41171,x41172))
% 184.24/184.08 [4200]E(f775(f132(a850,f851(x42001),f775(f9(f851(x42001),a850,a850),f775(f775(f10(a850,f857(a850,a850),f851(x42001)),f179(a850)),f181(f851(x42001)))),f2(a850)),f775(f142(f851(x42001)),f164(x42001,x42002))),f775(f181(f851(f851(x42001))),f775(f126(f851(x42001),f775(f775(f10(a844,a844,f851(x42001)),a328),f775(f775(f9(f851(x42001),f851(x42001),a844),a330),f115(x42001)))),x42002)))
% 184.24/184.08 [4206]E(f775(f775(f46(a850,f857(x42061,a844)),f239(f857(a850,a844))),f775(f775(f9(a850,f857(a850,f857(x42061,a844)),f857(x42061,a844)),f775(f775(f10(f857(a850,a844),f857(f857(a850,f857(x42061,a844)),f857(x42061,a844)),a850),f46(a850,f857(x42061,a844))),f294(a850,f2(a850)))),x42062)),f775(f775(f46(a850,f857(x42061,a844)),f239(f857(a850,a844))),x42062))
% 184.24/184.08 [4225]P1(f775(f63(a850),f775(f256(a850),f775(f775(f20(a850,a844,a844),f775(f775(f10(a844,f857(a844,a844),a850),a331),x42251)),f775(f775(f9(a850,a850,a844),f233(a850)),x42252)))))
% 184.24/184.08 [4338]E(f775(f256(f856(f851(x43381),f851(x43381))),f775(f251(f851(x43381),f851(x43381),a844),f775(f775(f20(f851(x43381),f857(f851(x43381),a844),f857(f851(x43381),a844)),f775(f775(f10(f857(f851(x43381),f857(a844,a844)),f857(f857(f851(x43381),a844),f857(f851(x43381),a844)),f851(x43381)),f20(f851(x43381),a844,a844)),f775(f775(f10(f857(f851(x43381),a844),f857(f851(x43381),f857(a844,a844)),f851(x43381)),f775(f10(a844,f857(a844,a844),f851(x43381)),a332)),f775(f775(f9(f851(x43381),f857(f851(x43381),a850),f857(f851(x43381),a844)),f775(f775(f10(f857(a850,a844),f857(f857(f851(x43381),a850),f857(f851(x43381),a844)),f851(x43381)),f10(a850,a844,f851(x43381))),f775(f775(f10(a850,f857(a850,a844),f851(x43381)),f233(a850)),f181(f851(x43381))))),f181(f851(x43381)))))),f775(f775(f20(f851(x43381),f857(f851(x43381),a844),f857(f851(x43381),a844)),f775(f775(f10(f857(f851(x43381),f857(a844,a844)),f857(f857(f851(x43381),a844),f857(f851(x43381),a844)),f851(x43381)),f20(f851(x43381),a844,a844)),f775(f775(f10(f857(f851(x43381),a844),f857(f851(x43381),f857(a844,a844)),f851(x43381)),f775(f10(a844,f857(a844,a844),f851(x43381)),a331)),f775(f775(f9(f851(x43381),f857(f851(x43381),a850),f857(f851(x43381),a844)),f775(f775(f10(f857(a850,a844),f857(f857(f851(x43381),a850),f857(f851(x43381),a844)),f851(x43381)),f10(a850,a844,f851(x43381))),f775(f775(f10(a850,f857(a850,a844),f851(x43381)),a330),f181(f851(x43381))))),f181(f851(x43381)))))),f775(f775(f9(f851(x43381),f857(f856(f851(x43381),f851(x43381)),a844),f857(f851(x43381),a844)),f775(f775(f10(f857(f851(x43381),f857(f857(f856(f851(x43381),f851(x43381)),a844),a844)),f857(f857(f856(f851(x43381),f851(x43381)),a844),f857(f851(x43381),a844)),f851(x43381)),f9(f851(x43381),f857(f856(f851(x43381),f851(x43381)),a844),a844)),f775(f775(f10(f857(f851(x43381),f856(f851(x43381),f851(x43381))),f857(f851(x43381),f857(f857(f856(f851(x43381),f851(x43381)),a844),a844)),f851(x43381)),f775(f10(f856(f851(x43381),f851(x43381)),f857(f857(f856(f851(x43381),f851(x43381)),a844),a844),f851(x43381)),f334(f856(f851(x43381),f851(x43381))))),f241(f851(x43381),f851(x43381))))),f135(x43381,x43382)))))),f136(x43381,x43382))
% 184.24/184.08 [4010]E(f775(f775(f82(a1),f775(f775(f82(a1),f775(f775(f83(a1),x40101),x40102)),f775(f775(f83(a1),x40101),x40102))),x40102),f775(f775(f83(a1),f775(f775(f3(a1),f775(f775(f82(a1),x40101),x40101)),a99)),x40102))
% 184.24/184.08 [4115]E(f775(a107,f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x41151),x41152)),f180(f857(f856(a850,a850),a844)))))),f775(f775(f3(a850),x41151),x41152))
% 184.24/184.08 [4121]E(f775(f775(f281(x41211,x41211,x41211),f775(f775(f103(f857(f856(x41211,x41211),a844)),x41212),f300(x41211,f180(f857(f856(x41211,x41211),a844))))),f300(x41211,f775(f775(f103(f857(f856(x41211,x41211),a844)),x41212),f300(x41211,f180(f857(f856(x41211,x41211),a844)))))),f300(x41211,x41212))
% 184.24/184.08 [4160]E(f265(x41601,f775(f126(f856(a101,x41601),f775(f251(a101,x41601,a844),f775(f775(f10(a844,f857(x41601,a844),a101),f18(a844,x41601)),f775(f233(a101),f2(a101))))),x41602)),f265(x41601,x41602))
% 184.24/184.08 [4161]E(f263(x41611,f775(f126(f856(a101,x41611),f775(f251(a101,x41611,a844),f775(f775(f10(a844,f857(x41611,a844),a101),f18(a844,x41611)),f775(f233(a101),f2(a101))))),x41612)),f263(x41611,x41612))
% 184.24/184.08 [4163]E(f775(f81(a1),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x41631),x41632)),f180(f857(f856(a850,a850),a844)))))),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x41632),x41631)),f180(f857(f856(a850,a850),a844))))))
% 184.24/184.08 [4237]E(f775(f775(f88(a1,a850),f775(f106(a1),f775(f775(f82(a1),x42371),a99))),f775(f775(f20(a1,a850,a850),f775(f775(f9(a1,a850,f857(a850,a850)),f775(f775(f10(a844,f857(a850,f857(a850,a850)),a1),f98(a850)),a186)),f2(a850))),f775(f775(f10(a850,a850,a1),a114),f775(f775(f10(a850,a850,a1),f775(f236(a850),x42372)),a107)))),f775(f775(f236(a850),f775(a114,x42372)),f775(f106(a850),x42371)))
% 184.24/184.08 [4238]E(f775(f775(f88(a1,a850),f775(f106(a1),f775(f775(f82(a1),x42381),a99))),f775(f775(f20(a1,a850,a850),f775(f775(f9(a1,a850,f857(a850,a850)),f775(f775(f10(a844,f857(a850,f857(a850,a850)),a1),f98(a850)),a186)),f775(a114,x42382))),f775(f775(f10(a850,a850,a1),a114),f775(f775(f10(a850,a850,a1),f775(f179(a850),x42382)),a107)))),f775(f775(f179(a850),f775(a114,x42382)),f775(f106(a850),x42381)))
% 184.24/184.08 [4258]E(f775(f132(f851(x42581),f851(x42581),f125(x42581),f115(x42581)),f775(f775(f143(f851(x42581),f851(x42581)),f145(f851(x42581),x42581,f115(x42581),f775(f775(f10(f851(x42581),f857(f851(x42581),f851(x42581)),x42581),f18(f851(x42581),f851(x42581))),f775(f775(f9(x42581,f851(x42581),f851(x42581)),f140(x42581)),f115(x42581))))),x42582)),f775(f775(f143(f851(x42581),x42581),f131(x42581)),f775(f126(f851(x42581),f775(f775(f10(a844,a844,f851(x42581)),a328),f775(f775(f9(f851(x42581),f851(x42581),a844),a330),f115(x42581)))),x42582)))
% 184.24/184.08 [4318]E(f775(f251(a1,a1,a844),f775(f775(f9(a1,f857(a1,a844),f857(a1,a844)),f775(f775(f10(f857(a1,f857(a844,a844)),f857(f857(a1,a844),f857(a1,a844)),a1),f20(a1,a844,a844)),f775(f775(f10(f857(a1,a844),f857(a1,f857(a844,a844)),a1),f775(f10(a844,f857(a844,a844),a1),a331)),f775(f775(f10(f857(a1,a1),f857(a1,a844),a1),f775(f10(a1,a844,a1),f775(a330,x43181))),f775(f775(f10(a1,f857(a1,a1),a1),f82(a1)),f775(f83(a1),x43182)))))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f775(f10(a844,a844,a1),f775(a335,f775(f775(f233(a1),f2(a1)),x43182))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),f2(a1)))),f775(f775(f9(a1,a1,a844),f233(a1)),x43182))))),f775(f775(f10(a844,a844,a1),f775(a335,f775(a328,f775(f775(f233(a1),f2(a1)),x43182)))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f233(a1),x43182))),f775(f775(f9(a1,a1,a844),f232(a1)),f2(a1))))))),f56(x43181,x43182))
% 184.24/184.08 [4320]E(f775(f256(x43201),f775(f775(f10(f857(a850,a844),a844,x43201),f89(a850)),f775(f775(f9(x43201,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),x43201),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),x43201),f775(f10(a844,f857(a844,a844),a850),a331)),f775(f775(f9(x43201,f857(a850,x43201),f857(a850,a844)),f775(f775(f10(f857(x43201,a844),f857(f857(a850,x43201),f857(a850,a844)),x43201),f10(x43201,a844,a850)),a330)),f775(f153(x43201),x43202))))),f775(f775(f9(a850,a850,a844),f233(a850)),f775(f181(f851(x43201)),x43202))))),f775(f158(x43201),x43202))
% 184.24/184.08 [4133]E(f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),x41331),a99)),x41332)),f775(f775(f3(a1),f775(f775(f82(a1),x41331),a99)),x41332))),a99),f775(f775(f3(a1),f775(f775(f82(a1),x41331),x41331)),f775(f775(f3(a1),f775(f775(f82(a1),x41332),x41332)),a99)))
% 184.24/184.08 [4253]E(f775(f132(f851(f851(x42531)),f851(f851(x42531)),f125(f851(x42531)),f115(f851(x42531))),f775(f775(f143(f851(x42531),f851(f851(x42531))),f145(f851(f851(x42531)),x42531,f115(f851(x42531)),f775(f18(f857(f851(x42531),f851(f851(x42531))),x42531),f775(f775(f9(f851(x42531),f851(f851(x42531)),f851(f851(x42531))),f140(f851(x42531))),f115(f851(x42531)))))),x42532)),f775(f775(f143(f851(x42531),f851(x42531)),f157(x42531)),f775(f126(f851(x42531),f775(f775(f10(a844,a844,f851(x42531)),a328),f775(f775(f9(f851(x42531),f851(x42531),a844),a330),f115(x42531)))),x42532)))
% 184.24/184.08 [4263]E(f775(f775(f88(a1,a850),f775(f106(a1),f775(f775(f82(a1),x42631),a99))),f775(f775(f20(a1,a850,a850),f775(f775(f9(a1,a850,f857(a850,a850)),f775(f775(f10(a844,f857(a850,f857(a850,a850)),a1),f98(a850)),a186)),f2(a850))),f775(f775(f10(a850,a850,a1),a114),f775(f775(f9(a1,a850,a850),f775(f775(f10(a850,f857(a850,a850),a1),f236(a850)),a107)),x42632)))),f775(f775(f236(a850),f775(f106(a850),x42631)),f775(a114,x42632)))
% 184.24/184.08 [4264]E(f775(f775(f88(a1,a850),f775(f106(a1),f775(f775(f82(a1),x42641),a99))),f775(f775(f20(a1,a850,a850),f775(f775(f9(a1,a850,f857(a850,a850)),f775(f775(f10(a844,f857(a850,f857(a850,a850)),a1),f98(a850)),a186)),f775(a114,x42642))),f775(f775(f10(a850,a850,a1),a114),f775(f775(f9(a1,a850,a850),f775(f775(f10(a850,f857(a850,a850),a1),f179(a850)),a107)),x42642)))),f775(f775(f179(a850),f775(f106(a850),x42641)),f775(a114,x42642)))
% 184.24/184.08 [4252]E(f775(f251(x42521,x42521,a844),f775(f775(f20(x42521,a844,f857(x42521,a844)),f775(f775(f10(f857(x42521,f857(a844,a844)),f857(a844,f857(x42521,a844)),x42521),f9(x42521,a844,a844)),f775(f775(f10(f857(x42521,a844),f857(x42521,f857(a844,a844)),x42521),f775(f10(a844,f857(a844,a844),x42521),a331)),a330))),x42522)),f260(x42521,x42522))
% 184.24/184.08 [4296]E(f775(f775(f43(a850),x42961),f775(f775(f82(a850),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99))),x42962)),f775(f775(f43(a850),x42961),f775(a114,f775(a114,f775(a114,x42962)))))
% 184.24/184.08 [4297]E(f52(a850,x42971,f775(f775(f82(a850),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99))),x42972)),f52(a850,x42971,f775(a114,f775(a114,f775(a114,x42972)))))
% 184.24/184.08 [4298]E(f52(a850,f775(f775(f82(a850),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99))),x42981),x42982),f52(a850,f775(a114,f775(a114,f775(a114,x42981))),x42982))
% 184.24/184.08 [4311]E(f122(f775(x43111,f775(f775(f83(a101),f775(f106(a101),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99))),x43112))),f775(f195(x43111),x43112))
% 184.24/184.08 [4312]E(f775(f775(f43(a850),f775(f775(f82(a850),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99))),x43121)),x43122),f775(f775(f43(a850),f775(a114,f775(a114,f775(a114,x43121)))),x43122))
% 184.24/184.08 [3486]P29(x34861,f858(x34862,x34861),f313(x34861,x34862),x34863)
% 184.24/184.08 [3487]P29(x34871,f858(x34871,x34872),f304(x34871,x34872),x34873)
% 184.24/184.08 [4380]~E(f35(x43801,x43802),f775(a27,x43803))
% 184.24/184.08 [4381]~E(f36(x43811,x43812),f775(a27,x43813))
% 184.24/184.08 [4382]~E(f28(x43821,x43822),f775(a27,x43823))
% 184.24/184.08 [4383]~E(f775(a27,x43831),f35(x43832,x43833))
% 184.24/184.08 [4384]~E(f775(a27,x43841),f36(x43842,x43843))
% 184.24/184.08 [4385]~E(f775(a27,x43851),f28(x43852,x43853))
% 184.24/184.08 [4404]~E(f33(x44041,x44042,x44043),a25)
% 184.24/184.08 [4405]~E(f32(x44051,x44052,x44053),a25)
% 184.24/184.08 [4406]~E(f31(x44061,x44062,x44063),a25)
% 184.24/184.08 [3100]E(f775(f185(x31001,x31002),x31003),f120(x31001,x31002))
% 184.24/184.08 [3101]E(f775(f194(x31011,x31012),x31013),f123(x31011,x31012))
% 184.24/184.08 [3195]E(f775(f775(f143(x31951,x31952),x31953),f115(x31951)),f115(x31952))
% 184.24/184.08 [3196]E(f775(f775(f196(x31961,x31962),x31963),f183(x31961)),f183(x31962))
% 184.24/184.08 [3216]E(f34(f31(x32161,x32162,x32163)),f2(a850))
% 184.24/184.08 [3235]E(f775(f174(x32351,x32352,x32353),f2(a850)),x32352)
% 184.24/184.08 [3236]E(f775(f181(a845),f31(x32361,x32362,x32363)),f2(a850))
% 184.24/184.08 [3237]E(f775(f775(f167(x32371,x32372),x32373),f115(x32372)),f115(f856(x32371,x32372)))
% 184.24/184.08 [3274]E(f87(x32741,f64(x32741,x32742,x32743)),f775(f65(x32741,x32742),x32743))
% 184.24/184.08 [3343]E(f775(f240(f851(x33431),f851(x33431)),f156(x33431,x33432,x33433)),f775(f126(x33431,x33432),x33433))
% 184.24/184.08 [3420]E(f175(x34201,x34202,x34203,f2(a850)),x34202)
% 184.24/184.08 [3421]E(f19(x34211,x34212,x34213,f2(a101)),x34212)
% 184.24/184.08 [3422]E(f21(x34221,x34222,x34223,f2(a101)),x34222)
% 184.24/184.08 [3429]E(f154(x34291,x34292,x34293,f115(x34291)),f115(x34292))
% 184.24/184.08 [3436]E(f775(f775(f153(x34361),f775(f775(f140(x34361),x34362),x34363)),f2(a850)),x34362)
% 184.24/184.08 [3485]P29(x34851,x34852,x34853,f180(f857(x34851,a844)))
% 184.24/184.08 [3581]E(f262(x35811,x35812,x35813),f775(f241(f857(a101,f857(a844,f854(f852(x35811)))),f856(a101,a101)),f48(x35811)))
% 184.24/184.08 [3640]E(f775(f75(x36401,x36402,x36401,x36403),f39(x36401)),x36403)
% 184.24/184.08 [3816]P1(f775(f775(f334(f856(x38161,x38161)),f775(f775(f241(x38161,x38161),x38162),x38162)),f300(x38161,x38163)))
% 184.24/184.08 [4481]~P1(f775(f775(f334(f856(f851(x44811),f851(x44811))),f775(f775(f241(f851(x44811),f851(x44811)),x44812),f115(x44811))),f135(x44811,x44813)))
% 184.24/184.08 [4482]~P1(f775(f775(f334(f856(f851(x44821),f851(x44821))),f775(f775(f241(f851(x44821),f851(x44821)),x44822),f115(x44821))),f137(x44821,x44823)))
% 184.24/184.08 [4483]~P1(f775(f775(f334(f856(f851(x44831),f851(x44831))),f775(f775(f241(f851(x44831),f851(x44831)),x44832),f115(x44831))),f146(x44831,x44833)))
% 184.24/184.08 [4484]~P1(f775(f775(f334(f856(f851(x44841),f851(x44841))),f775(f775(f241(f851(x44841),f851(x44841)),f115(x44841)),x44842)),f135(x44841,x44843)))
% 184.24/184.08 [4485]~P1(f775(f775(f334(f856(f851(x44851),f851(x44851))),f775(f775(f241(f851(x44851),f851(x44851)),f115(x44851)),x44852)),f146(x44851,x44853)))
% 184.24/184.08 [3170]E(f775(f775(f197(x31701),x31702),x31703),f198(x31701,f210(x31702,x31703)))
% 184.24/184.08 [3225]E(f775(f278(x32251,x32252),f775(f278(x32252,x32251),x32253)),x32253)
% 184.24/184.08 [3242]E(f312(x32421,x32422,f775(f304(x32421,x32422),x32423)),x32423)
% 184.24/184.08 [3243]E(f315(x32431,x32432,f775(f313(x32432,x32431),x32433)),x32433)
% 184.24/184.08 [3249]E(f775(f775(f167(x32491,x32492),f115(x32491)),x32493),f115(f856(x32491,x32492)))
% 184.24/184.08 [3252]E(f160(x32521,x32522,f775(f257(a850),x32523)),f775(f775(f159(x32521),x32523),x32522))
% 184.24/184.08 [3266]E(f775(f181(f858(x32661,x32662)),f775(f304(x32661,x32662),x32663)),f2(a850))
% 184.24/184.08 [3267]E(f775(f181(f858(x32671,x32672)),f775(f313(x32672,x32671),x32673)),f2(a850))
% 184.24/184.08 [3272]E(f775(f259(x32721,x32722),f775(f278(x32722,x32721),x32723)),f775(f261(x32722,x32721),x32723))
% 184.24/184.08 [3273]E(f775(f261(x32731,x32732),f775(f278(x32732,x32731),x32733)),f775(f259(x32732,x32731),x32733))
% 184.24/184.08 [3288]E(f775(f126(x32881,x32882),f775(f142(x32881),x32883)),f775(f142(x32881),f775(f126(x32881,x32882),x32883)))
% 184.24/184.08 [3301]E(f775(f775(f128(x33011),x33012),f775(f157(x33011),x33013)),f775(f775(f128(x33011),f775(a114,x33012)),x33013))
% 184.24/184.08 [3319]E(f34(f32(x33191,x33192,x33193)),f775(f775(f82(a850),f34(x33193)),f775(a114,f2(a850))))
% 184.24/184.08 [3320]E(f775(f303(x33201,x33202,x33203),f180(f857(x33201,a844))),f180(f857(x33202,a844)))
% 184.24/184.08 [3321]E(f775(f277(x33211,x33212,x33213),f180(f857(x33211,a844))),f180(f857(x33212,a844)))
% 184.24/184.08 [3322]E(f775(f305(x33221,x33222,x33223),f239(f857(x33222,a844))),f239(f857(x33221,a844)))
% 184.24/184.08 [3323]E(f775(f305(x33231,x33232,x33233),f180(f857(x33232,a844))),f180(f857(x33231,a844)))
% 184.24/184.08 [3360]E(f228(x33601,x33602,f775(f227(x33601),x33603)),f775(f775(f82(a850),f775(x33602,x33603)),f775(a114,f2(a850))))
% 184.24/184.08 [3441]E(f775(f181(a845),f32(x34411,x34412,x34413)),f775(f775(f82(a850),f775(f181(a845),x34413)),f775(a114,f2(a850))))
% 184.24/184.08 [3442]E(f775(f303(f856(x34421,x34422),x34422,f250(x34421,x34422)),x34423),f775(f259(x34421,x34422),x34423))
% 184.24/184.08 [3443]E(f775(f303(f856(x34431,x34432),x34431,f240(x34431,x34432)),x34433),f775(f261(x34431,x34432),x34433))
% 184.24/184.08 [3512]E(f775(f775(f241(x35121,x35122),f775(f240(x35121,x35122),x35123)),f775(f250(x35121,x35122),x35123)),x35123)
% 184.24/184.08 [3519]E(f775(f775(f251(x35191,x35192,x35191),f18(x35191,x35192)),x35193),f775(f240(x35191,x35192),x35193))
% 184.24/184.08 [3538]E(f170(x35381,x35382,x35383,f775(f18(f854(x35382),x35381),f183(x35382))),x35383)
% 184.24/184.08 [3539]E(f170(x35391,x35392,f775(f18(f854(x35392),x35391),f183(x35392)),x35393),x35393)
% 184.24/184.08 [3594]E(f34(f33(x35941,x35942,x35943)),f775(f775(f82(a850),f775(f775(f82(a850),f34(x35942)),f34(x35943))),f775(a114,f2(a850))))
% 184.24/184.08 [3644]E(f775(f75(x36441,x36441,x36442,f39(x36441)),x36443),x36443)
% 184.24/184.08 [3730]P1(f775(f63(x37301),f169(x37301,x37302,f166(x37301,x37302,x37303))))
% 184.24/184.08 [3753]P1(f775(f775(f187(f28(x37531,x37532)),x37533),f775(f775(f775(a189,x37533),x37531),f775(x37532,x37533))))
% 184.24/184.08 [3755]E(f775(f181(a845),f33(x37551,x37552,x37553)),f775(f775(f82(a850),f775(f775(f82(a850),f775(f181(a845),x37552)),f775(f181(a845),x37553))),f775(a114,f2(a850))))
% 184.24/184.08 [3826]P1(f775(f775(f232(f857(x38261,a844)),f775(f158(x38261),f775(f126(x38261,x38262),x38263))),f775(f158(x38261),x38263)))
% 184.24/184.08 [3869]P1(f775(f775(f232(f857(x38691,a844)),f775(f158(x38691),f775(f775(f159(x38691),x38692),x38693))),f775(f158(x38691),x38693)))
% 184.24/184.08 [3870]P1(f775(f775(f232(f857(x38701,a844)),f775(f158(x38701),f775(f775(f128(x38701),x38702),x38703))),f775(f158(x38701),x38703)))
% 184.24/184.08 [3874]P1(f775(f775(f232(f857(x38741,a844)),f775(f158(x38741),f151(x38741,x38742,x38743))),f775(f158(x38741),x38743)))
% 184.24/184.08 [3875]P1(f775(f775(f232(f857(x38751,a844)),f775(f158(x38751),f160(x38751,x38752,x38753))),f775(f158(x38751),x38752)))
% 184.24/184.08 [3899]P29(f856(x38991,x38992),f856(x38992,x38991),f775(f251(x38991,x38992,f856(x38992,x38991)),f775(f9(x38992,x38991,f856(x38992,x38991)),f241(x38992,x38991))),x38993)
% 184.24/184.08 [3911]E(f775(f775(f775(f173(f851(x39111),f851(x39111)),f52(a850,x39112,f775(f181(f851(x39111)),x39113))),f141(x39111)),x39113),f775(f775(f775(f173(f851(x39111),f851(x39111)),x39112),f141(x39111)),x39113))
% 184.24/184.08 [3956]P1(f775(f775(f334(f856(f851(x39561),f851(x39561))),f775(f775(f241(f851(x39561),f851(x39561)),x39562),x39562)),f147(x39561,f300(x39561,x39563))))
% 184.24/184.08 [4100]E(f87(f856(x41001,x41002),f775(f775(f20(f856(x41001,x41002),x41002,a844),f775(f775(f10(x41001,f857(x41002,a844),f856(x41001,x41002)),x41003),f240(x41001,x41002))),f250(x41001,x41002))),f87(f856(x41001,x41002),f775(f251(x41001,x41002,a844),x41003)))
% 184.24/184.08 [4101]E(f92(f856(x41011,x41012),f775(f775(f20(f856(x41011,x41012),x41012,a844),f775(f775(f10(x41011,f857(x41012,a844),f856(x41011,x41012)),x41013),f240(x41011,x41012))),f250(x41011,x41012))),f92(f856(x41011,x41012),f775(f251(x41011,x41012,a844),x41013)))
% 184.24/184.08 [4140]E(f775(f775(f280(f856(a850,x41401),x41401),f325(a850,x41401,a237,x41402)),f775(f775(f20(x41401,x41401,f856(a850,x41401)),f775(f775(f10(a850,f857(x41401,f856(a850,x41401)),x41401),f241(a850,x41401)),x41403)),f7(x41401))),f327(x41401,x41403,x41402))
% 184.24/184.08 [4202]E(f775(f252(x42021,x42021,x42022,x42022,f7(x42021),f7(x42022)),x42023),x42023)
% 184.24/184.08 [4337]E(f775(f775(f88(a1,x43371),f213(f775(f775(f75(f856(a1,a1),a1,x43371,f250(a1,a1)),f207(x43371)),x43372),f775(f775(f75(f856(a1,a1),a1,x43371,f250(a1,a1)),f207(x43371)),x43373))),f775(f775(f20(a1,a1,x43371),f775(f775(f10(a1,f857(a1,x43371),a1),f197(x43371)),f775(f775(f20(a1,a1,a1),f775(f775(f10(a1,f857(a1,a1),a1),f82(a1)),f775(f775(f10(a1,a1,a1),f775(f83(a1),f775(f775(f75(f856(a1,a1),a1,x43371,f240(a1,a1)),f207(x43371)),x43372))),f775(f775(f9(a1,a1,a1),f43(a1)),f775(f775(f75(f856(a1,a1),a1,x43371,f250(a1,a1)),f207(x43371)),x43372))))),f775(f775(f10(a1,a1,a1),f775(f83(a1),f775(f775(f75(f856(a1,a1),a1,x43371,f240(a1,a1)),f207(x43371)),x43373))),f775(f775(f9(a1,a1,a1),f43(a1)),f775(f775(f75(f856(a1,a1),a1,x43371,f250(a1,a1)),f207(x43371)),x43373)))))),f7(a1))),f224(x43371,x43372,x43373))
% 184.24/184.08 [4399]~E(f775(f775(f140(x43991),x43992),x43993),x43993)
% 184.24/184.08 [4408]~E(f775(f775(f140(x44081),x44082),x44083),f115(x44081))
% 184.24/184.08 [4434]~E(f775(f775(f302(x44341),x44342),x44343),f180(f857(x44341,a844)))
% 184.24/184.08 [4463]~E(f775(f303(x44631,f857(x44631,a844),x44632),x44633),f775(f301(x44631),x44633))
% 184.24/184.08 [3229]E(f775(f775(f148(x32291,f115(x32291)),x32292),x32293),f115(x32291))
% 184.24/184.08 [3230]E(f775(f131(x32301),f775(f775(f140(x32301),x32302),x32303)),x32302)
% 184.24/184.08 [3231]E(f775(f157(x32311),f775(f775(f140(x32311),x32312),x32313)),x32313)
% 184.24/184.08 [3277]E(f775(f775(f128(x32771),f80(a850)),f775(f775(f140(x32771),x32772),x32773)),x32773)
% 184.24/184.08 [3308]E(f116(x33081,f775(f775(f128(x33081),x33082),x33083)),f775(f775(f128(x33081),x33082),f116(x33081,x33083)))
% 184.24/184.08 [3310]E(f775(f775(f148(x33101,x33102),x33103),f775(f775(f153(x33101),x33102),x33103)),x33102)
% 184.24/184.08 [3333]E(f775(f775(f302(x33331),x33332),f775(f775(f302(x33331),x33332),x33333)),f775(f775(f302(x33331),x33332),x33333))
% 184.24/184.08 [3346]E(f775(f775(f302(x33461),x33462),f775(f158(x33461),x33463)),f775(f158(x33461),f775(f775(f140(x33461),x33462),x33463)))
% 184.24/184.08 [3348]E(f775(f775(f128(x33481),x33482),f775(f157(x33481),x33483)),f775(f157(x33481),f775(f775(f128(x33481),x33482),x33483)))
% 184.24/184.08 [3357]E(f775(f775(f159(x33571),f80(a850)),f775(f775(f140(x33571),x33572),x33573)),f775(f775(f140(x33571),x33572),f115(x33571)))
% 184.24/184.08 [3390]E(f775(f166(x33901,x33902,f115(f856(x33901,x33902))),x33903),f183(x33902))
% 184.24/184.08 [3405]E(f775(f65(x34051,x34052),f775(f775(f302(x34051),x34053),f180(f857(x34051,a844)))),x34053)
% 184.24/184.08 [3449]E(f775(f775(f82(a850),x34491),f775(f775(f82(a850),x34492),x34493)),f775(f775(f82(a850),x34492),f775(f775(f82(a850),x34491),x34493)))
% 184.24/184.08 [3450]E(f775(f775(f82(a1),x34501),f775(f775(f82(a1),x34502),x34503)),f775(f775(f82(a1),x34502),f775(f775(f82(a1),x34501),x34503)))
% 184.24/184.08 [3455]E(f775(f775(f248(x34551,x34552),f180(f857(x34551,a844))),x34553),f180(f857(f856(x34551,x34552),a844)))
% 184.24/184.08 [3477]E(f775(f775(f103(f857(x34771,a844)),x34772),x34773),f775(f775(f103(f857(x34771,a844)),x34773),x34772))
% 184.24/184.08 [3478]E(f775(f775(f104(f857(x34781,a844)),x34782),x34783),f775(f775(f104(f857(x34781,a844)),x34783),x34782))
% 184.24/184.08 [3480]E(f775(f775(f125(x34801),x34802),f775(f775(f140(x34801),x34803),f115(x34801))),f775(f141(x34801),f775(f775(f140(x34801),x34803),x34802)))
% 184.24/184.08 [3481]E(f775(f775(f125(x34811),f775(f142(x34811),x34812)),f775(f142(x34811),x34813)),f775(f142(x34811),f775(f775(f125(x34811),x34813),x34812)))
% 184.24/184.08 [3491]E(f775(f157(x34911),f775(f775(f159(x34911),f775(a114,x34912)),x34913)),f775(f775(f159(x34911),x34912),f775(f157(x34911),x34913)))
% 184.24/184.08 [3498]P1(f775(f775(f334(x34981),x34982),f775(f775(f302(x34981),x34982),x34983)))
% 184.24/184.08 [3502]E(f775(f775(f47(x35021,f857(x35022,a844)),f180(f857(x35021,a844))),x35023),f239(f857(x35022,a844)))
% 184.24/184.08 [3505]E(f775(f277(x35051,x35051,f260(x35051,x35052)),x35053),f775(f775(f104(f857(x35051,a844)),x35052),x35053))
% 184.24/184.08 [3517]E(f775(f181(f851(x35171)),f775(f775(f140(x35171),x35172),x35173)),f775(f775(f82(a850),f775(f181(f851(x35171)),x35173)),f775(a114,f2(a850))))
% 184.24/184.08 [3521]E(f134(x35211,f775(f775(f125(x35211),x35212),f775(f775(f140(x35211),x35213),f115(x35211)))),x35213)
% 184.24/184.08 [3522]E(f116(x35221,f775(f775(f125(x35221),x35222),f775(f775(f140(x35221),x35223),f115(x35221)))),x35222)
% 184.24/184.08 [3527]E(f775(f775(f125(x35271),f775(f775(f159(x35271),x35272),x35273)),f775(f775(f128(x35271),x35272),x35273)),x35273)
% 184.24/184.08 [3536]E(f775(f775(f3(a850),f775(f775(f82(a850),x35361),x35362)),f775(f775(f82(a850),x35363),x35362)),f775(f775(f3(a850),x35361),x35363))
% 184.24/184.08 [3537]E(f775(f775(f3(a850),f775(f775(f82(a850),x35371),x35372)),f775(f775(f82(a850),x35371),x35373)),f775(f775(f3(a850),x35372),x35373))
% 184.24/184.08 [3543]E(f775(f775(f125(x35431),f775(f142(x35431),x35432)),f775(f775(f140(x35431),x35433),f115(x35431))),f775(f142(x35431),f775(f775(f140(x35431),x35433),x35432)))
% 184.24/184.08 [3545]E(f775(f775(f82(a850),f775(f181(f851(x35451)),x35452)),f775(f181(f851(x35451)),x35453)),f775(f181(f851(x35451)),f775(f775(f125(x35451),x35452),x35453)))
% 184.24/184.08 [3555]E(f775(f775(f103(f857(x35551,a844)),f775(f158(x35551),x35552)),f775(f158(x35551),x35553)),f775(f158(x35551),f775(f775(f125(x35551),x35552),x35553)))
% 184.24/184.08 [3556]E(f52(a850,f775(f775(f83(a850),x35561),x35562),f775(f775(f83(a850),x35561),x35563)),f775(f775(f83(a850),x35561),f52(a850,x35562,x35563)))
% 184.24/184.08 [3569]E(f775(f775(f159(x35691),f775(f775(f3(a850),x35692),f80(a850))),f775(f157(x35691),x35693)),f775(f157(x35691),f775(f775(f159(x35691),x35692),x35693)))
% 184.24/184.08 [3574]E(f775(f775(f104(f857(x35741,a844)),x35742),f775(f81(f857(x35741,a844)),x35743)),f775(f775(f3(f857(x35741,a844)),x35742),x35743))
% 184.24/184.08 [3575]E(f775(f775(f3(f857(x35751,a844)),x35752),f775(f81(f857(x35751,a844)),x35753)),f775(f775(f104(f857(x35751,a844)),x35752),x35753))
% 184.24/184.08 [3597]E(f775(f775(f248(x35971,x35972),x35973),f775(f18(f857(x35972,a844),x35971),f180(f857(x35972,a844)))),f180(f857(f856(x35971,x35972),a844)))
% 184.24/184.08 [3599]E(f775(f775(f82(a850),f775(f775(f83(a850),x35991),x35992)),f775(f775(f83(a850),x35991),x35993)),f775(f775(f83(a850),x35991),f775(f775(f82(a850),x35992),x35993)))
% 184.24/184.08 [3600]E(f775(f775(f3(a850),f775(f775(f83(a850),x36001),x36002)),f775(f775(f83(a850),x36001),x36003)),f775(f775(f83(a850),x36001),f775(f775(f3(a850),x36002),x36003)))
% 184.24/184.08 [3601]E(f775(f775(f82(a1),f775(f775(f83(a1),x36011),x36012)),f775(f775(f83(a1),x36011),x36013)),f775(f775(f83(a1),x36011),f775(f775(f82(a1),x36012),x36013)))
% 184.24/184.08 [3602]E(f775(f775(f3(a1),f775(f775(f83(a1),x36021),x36022)),f775(f775(f83(a1),x36021),x36023)),f775(f775(f83(a1),x36021),f775(f775(f3(a1),x36022),x36023)))
% 184.24/184.08 [3603]E(f775(f775(f83(a1),f775(f775(f242(a1),x36031),x36032)),f775(f775(f242(a1),x36031),x36033)),f775(f775(f242(a1),x36031),f775(f775(f82(a850),x36032),x36033)))
% 184.24/184.08 [3616]E(f775(f775(f46(x36161,f857(x36162,a844)),x36163),f775(f18(f857(x36162,a844),x36161),f180(f857(x36162,a844)))),f180(f857(x36162,a844)))
% 184.24/184.08 [3618]E(f52(a850,f775(f775(f83(a850),x36181),x36182),f775(f775(f83(a850),x36183),x36182)),f775(f775(f83(a850),f52(a850,x36181,x36183)),x36182))
% 184.24/184.08 [3623]E(f52(a1,f775(f775(f83(a1),x36231),f52(a1,x36232,x36233)),x36233),f52(a1,f775(f775(f83(a1),x36231),x36232),x36233))
% 184.24/184.08 [3624]E(f52(a1,f775(f775(f3(a1),x36241),f52(a1,x36242,x36243)),x36243),f52(a1,f775(f775(f3(a1),x36241),x36242),x36243))
% 184.24/184.08 [3625]P1(f775(f775(f232(f857(x36251,a844)),x36252),f775(f775(f302(x36251),x36253),x36252)))
% 184.24/184.08 [3649]E(f775(f303(f856(x36491,x36492),x36491,f240(x36491,x36492)),f775(f158(f856(x36491,x36492)),x36493)),f169(x36491,x36492,f166(x36491,x36492,x36493)))
% 184.24/184.08 [3706]E(f775(f775(f47(f857(x37061,a844),f857(x37061,a844)),x37062),f775(f103(f857(x37061,a844)),x37063)),f775(f775(f103(f857(x37061,a844)),x37063),f45(f857(x37061,a844),x37062)))
% 184.24/184.08 [3707]E(f775(f775(f46(f857(x37071,a844),f857(x37071,a844)),x37072),f775(f104(f857(x37071,a844)),x37073)),f775(f775(f104(f857(x37071,a844)),x37073),f44(f857(x37071,a844),x37072)))
% 184.24/184.08 [3717]E(f775(f158(x37171),f775(f775(f775(f173(f851(x37171),f851(x37171)),x37172),f141(x37171)),x37173)),f775(f158(x37171),x37173))
% 184.24/184.08 [3721]E(f775(f775(f159(x37211),f775(f181(f851(x37211)),f162(x37211,x37212,x37213))),x37213),f162(x37211,x37212,x37213))
% 184.24/184.08 [3722]E(f169(x37221,x37222,f775(f775(f10(x37222,f854(x37222),x37221),f227(x37222)),x37223)),f239(f857(x37221,a844)))
% 184.24/184.08 [3725]E(f775(f181(f851(x37251)),f775(f775(f775(f173(f851(x37251),f851(x37251)),x37252),f141(x37251)),x37253)),f775(f181(f851(x37251)),x37253))
% 184.24/184.08 [3728]E(f775(f775(f251(x37281,x37282,x37282),f775(f18(f857(x37282,x37282),x37281),f7(x37282))),x37283),f775(f250(x37281,x37282),x37283))
% 184.24/184.08 [3735]E(f52(a1,f775(f775(f3(a1),f52(a1,x37351,x37352)),x37353),x37352),f52(a1,f775(f775(f3(a1),x37351),x37353),x37352))
% 184.24/184.08 [3736]E(f52(a1,f775(f775(f242(a1),f52(a1,x37361,x37362)),x37363),x37362),f52(a1,f775(f775(f242(a1),x37361),x37363),x37362))
% 184.24/184.08 [3739]E(f775(f775(f46(f857(f856(x37391,x37392),a844),f857(x37392,a844)),x37393),f259(x37391,x37392)),f775(f259(x37391,x37392),f44(f857(f856(x37391,x37392),a844),x37393)))
% 184.24/184.08 [3740]E(f775(f775(f46(f857(f856(x37401,x37402),a844),f857(x37401,a844)),x37403),f261(x37401,x37402)),f775(f261(x37401,x37402),f44(f857(f856(x37401,x37402),a844),x37403)))
% 184.24/184.08 [3768]E(f775(f75(x37681,x37681,x37681,x37682),f775(f775(f173(x37681,x37681),x37683),x37682)),f775(f775(f173(x37681,x37681),f775(a114,x37683)),x37682))
% 184.24/184.08 [3778]E(f229(f854(x37781),x37782,f183(x37781),f775(f775(f10(x37781,f854(x37781),x37782),f227(x37781)),x37783)),f775(f196(x37782,x37781),x37783))
% 184.24/184.08 [3785]E(f775(f775(f128(x37851),f775(f775(f3(a850),f775(f181(f851(x37851)),x37852)),x37853)),f775(f142(x37851),x37852)),f775(f142(x37851),f775(f775(f159(x37851),x37853),x37852)))
% 184.24/184.08 [3786]E(f775(f775(f159(x37861),f775(f775(f3(a850),f775(f181(f851(x37861)),x37862)),x37863)),f775(f142(x37861),x37862)),f775(f142(x37861),f775(f775(f128(x37861),x37863),x37862)))
% 184.24/184.08 [3789]E(f775(f775(f82(a850),f775(f155(a850),f775(f775(f143(x37891,a850),x37892),x37893))),f775(f181(f851(x37891)),x37893)),f144(x37891,x37892,x37893))
% 184.24/184.08 [3805]E(f775(f141(x38051),f775(f775(f775(f173(f851(x38051),f851(x38051)),x38052),f141(x38051)),x38053)),f775(f775(f775(f173(f851(x38051),f851(x38051)),f775(a114,x38052)),f141(x38051)),x38053))
% 184.24/184.08 [3817]P1(f775(f775(f232(a850),f775(f181(f851(x38171)),f775(f126(x38171,x38172),x38173))),f775(f181(f851(x38171)),x38173)))
% 184.24/184.08 [3834]E(f775(f775(f103(f857(f857(x38341,a844),a844)),f775(f301(x38341),x38342)),f775(f303(f857(x38341,a844),f857(x38341,a844),f775(f302(x38341),x38343)),f775(f301(x38341),x38342))),f775(f301(x38341),f775(f775(f302(x38341),x38343),x38342)))
% 184.24/184.08 [3850]P28(x38501,x38502,f775(f775(f302(f849(x38501)),f775(f775(f775(f93(x38501),x38503),a25),x38503)),f180(f857(f849(x38501),a844))))
% 184.24/184.08 [3866]P1(f775(f775(f232(a850),f775(f181(f851(x38661)),f162(x38661,x38662,x38663))),f775(f181(f851(x38661)),x38663)))
% 184.24/184.08 [3873]E(f775(f261(x38731,x38732),f775(f256(f856(x38731,x38732)),f775(f251(x38731,x38732,a844),x38733))),f775(f256(x38731),f775(f775(f10(f857(x38732,a844),a844,x38731),f89(x38732)),x38733)))
% 184.24/184.08 [3886]E(f775(f303(a850,a850,f775(f775(f9(a850,a850,a850),f82(a850)),x38861)),f295(a850,x38862,x38863)),f295(a850,f775(f775(f82(a850),x38862),x38861),f775(f775(f82(a850),x38863),x38861)))
% 184.24/184.08 [3902]E(f775(f303(a850,a850,f775(f775(f9(a850,a850,a850),f82(a850)),x39021)),f775(f294(a850,x39022),x39023)),f775(f294(a850,f775(f775(f82(a850),x39022),x39021)),f775(f775(f82(a850),x39023),x39021)))
% 184.24/184.08 [3920]E(f775(f775(f167(x39201,x39202),f775(f775(f143(f856(x39201,x39202),x39201),f240(x39201,x39202)),x39203)),f775(f775(f143(f856(x39201,x39202),x39202),f250(x39201,x39202)),x39203)),x39203)
% 184.24/184.08 [3925]E(f775(f775(f82(a850),f775(f775(f83(a850),x39251),f52(a850,f775(f775(f43(a850),x39252),x39251),x39253))),f52(a850,x39252,x39251)),f52(a850,x39252,f775(f775(f83(a850),x39251),x39253)))
% 184.24/184.08 [3936]P1(f775(f63(f854(x39361)),f775(f303(x39362,f854(x39361),f166(x39362,x39361,x39363)),f239(f857(x39362,a844)))))
% 184.24/184.08 [3940]E(f775(f775(f125(x39401),x39402),f775(f132(f851(x39401),f851(x39401),f125(x39401),f115(x39401)),x39403)),f775(f132(f851(x39401),f851(x39401),f125(x39401),x39402),x39403))
% 184.24/184.08 [3960]P1(f775(f775(f334(f856(x39601,x39601)),f775(f775(f241(x39601,x39601),x39602),x39602)),f775(f775(f173(f856(x39601,x39601),a844),f2(a850)),x39603)))
% 184.24/184.08 [3966]E(f775(f256(x39661),f775(f775(f10(f857(x39662,a844),a844,x39661),f89(x39662)),f775(f9(x39662,x39661,a844),x39663))),f775(f259(x39662,x39661),f775(f256(f856(x39662,x39661)),f775(f251(x39662,x39661,a844),x39663))))
% 184.24/184.08 [3985]E(f775(f775(f103(f857(x39851,a844)),f775(f775(f46(a850,f857(x39851,a844)),f295(a850,f80(a850),x39852)),x39853)),f775(x39853,f2(a850))),f775(f775(f46(a850,f857(x39851,a844)),f775(f293(a850),x39852)),x39853))
% 184.24/184.08 [4000]E(f775(f132(f851(x40001),f851(x40001),f125(x40001),f115(x40001)),f775(f775(f143(f851(x40001),f851(x40001)),f126(x40001,x40002)),x40003)),f775(f126(x40001,x40002),f775(f132(f851(x40001),f851(x40001),f125(x40001),f115(x40001)),x40003)))
% 184.24/184.08 [4005]E(f775(f250(f851(x40051),f851(x40051)),f156(x40051,x40052,x40053)),f775(f126(x40051,f775(f75(a844,a844,x40051,a328),x40052)),x40053))
% 184.24/184.08 [4054]E(f775(f775(f82(a1),f775(f775(f82(a1),f775(f775(f83(a1),x40541),f775(f775(f43(a1),x40542),x40541))),f52(a1,x40542,x40541))),x40543),f775(f775(f82(a1),x40542),x40543))
% 184.24/184.08 [4088]E(f775(f775(f82(a1),f775(f775(f82(a1),f775(f775(f83(a1),f775(f775(f43(a1),x40881),x40882)),x40882)),f52(a1,x40881,x40882))),x40883),f775(f775(f82(a1),x40881),x40883))
% 184.24/184.08 [4118]E(f87(f856(x41181,x41182),f775(f251(x41181,x41182,a844),f775(f775(f10(f857(x41182,f856(x41181,x41182)),f857(x41182,a844),x41181),f775(f10(f856(x41181,x41182),a844,x41182),x41183)),f241(x41181,x41182)))),f87(f856(x41181,x41182),x41183))
% 184.24/184.08 [4119]E(f92(f856(x41191,x41192),f775(f251(x41191,x41192,a844),f775(f775(f10(f857(x41192,f856(x41191,x41192)),f857(x41192,a844),x41191),f775(f10(f856(x41191,x41192),a844,x41192),x41193)),f241(x41191,x41192)))),f92(f856(x41191,x41192),x41193))
% 184.24/184.08 [4151]P1(f775(f775(f232(f857(x41511,a844)),f44(f857(x41511,a844),f775(f775(f104(f857(f857(x41511,a844),a844)),x41512),x41513))),f775(f775(f104(f857(x41511,a844)),f44(f857(x41511,a844),x41512)),f44(f857(x41511,a844),x41513))))
% 184.24/184.08 [4152]E(f775(f142(x41521),f775(f775(f775(f173(f851(x41521),f851(x41521)),f775(f775(f3(a850),f775(f181(f851(x41521)),x41522)),f52(a850,x41523,f775(f181(f851(x41521)),x41522)))),f141(x41521)),x41522)),f775(f775(f775(f173(f851(x41521),f851(x41521)),x41523),f141(x41521)),f775(f142(x41521),x41522)))
% 184.24/184.08 [4164]E(f775(f256(x41641),f775(f775(f10(a844,a844,x41641),a328),f775(f775(f9(x41641,f854(x41642),a844),f775(f775(f10(f854(x41642),f857(f854(x41642),a844),x41641),a330),x41643)),f183(x41642)))),f169(x41641,x41642,x41643))
% 184.24/184.08 [4227]E(f775(f256(x42271),f775(f775(f10(f857(x42272,a844),a844,x42271),f89(x42272)),f775(f775(f10(f854(x42271),f857(x42272,a844),x42271),f775(f9(x42272,f854(x42271),a844),f775(f775(f10(f854(x42271),f857(f854(x42271),a844),x42272),a330),x42273))),f227(x42271)))),f171(x42272,x42271,x42273))
% 184.24/184.08 [4476]~P1(f775(f64(x44761,x44762,f180(f857(x44761,a844))),x44763))
% 184.24/184.08 [3492]E(f775(f181(f851(x34921)),f775(f775(f159(x34921),x34922),x34923)),f775(f775(f236(a850),f775(f181(f851(x34921)),x34923)),x34922))
% 184.24/184.08 [3493]E(f775(f181(f851(x34931)),f775(f775(f128(x34931),x34932),x34933)),f775(f775(f3(a850),f775(f181(f851(x34931)),x34933)),x34932))
% 184.24/184.08 [3529]E(f775(f775(f43(a850),f775(f775(f43(a850),x35291),x35292)),x35293),f775(f775(f43(a850),x35291),f775(f775(f83(a850),x35292),x35293)))
% 184.24/184.08 [3530]E(f775(f775(f82(a850),f775(f775(f82(a850),x35301),x35302)),x35303),f775(f775(f82(a850),x35301),f775(f775(f82(a850),x35302),x35303)))
% 184.24/184.08 [3531]E(f775(f775(f82(a1),f775(f775(f82(a1),x35311),x35312)),x35313),f775(f775(f82(a1),x35311),f775(f775(f82(a1),x35312),x35313)))
% 184.24/184.08 [3532]E(f775(f775(f83(a850),f775(f775(f83(a850),x35321),x35322)),x35323),f775(f775(f83(a850),x35321),f775(f775(f83(a850),x35322),x35323)))
% 184.24/184.08 [3533]E(f775(f775(f83(a1),f775(f775(f83(a1),x35331),x35332)),x35333),f775(f775(f83(a1),x35331),f775(f775(f83(a1),x35332),x35333)))
% 184.24/184.08 [3534]E(f775(f775(f3(a850),f775(f775(f3(a850),x35341),x35342)),x35343),f775(f775(f3(a850),x35341),f775(f775(f82(a850),x35342),x35343)))
% 184.24/184.08 [3535]E(f775(f775(f242(a1),f775(f775(f242(a1),x35351),x35352)),x35353),f775(f775(f242(a1),x35351),f775(f775(f83(a850),x35352),x35353)))
% 184.24/184.08 [3553]E(f150(x35531,f775(f775(f140(f857(x35531,a844)),x35532),x35533)),f161(x35531,x35532,f150(x35531,x35533)))
% 184.24/184.08 [3598]E(f775(f775(f3(a850),f775(f775(f3(a850),x35981),x35982)),x35983),f775(f775(f3(a850),f775(f775(f3(a850),x35981),x35983)),x35982))
% 184.24/184.08 [3606]E(f775(f775(f104(f857(x36061,a844)),x36062),f775(f775(f3(f857(x36061,a844)),x36063),x36062)),f180(f857(x36061,a844)))
% 184.24/184.08 [3651]E(f45(f857(x36511,a844),f775(f775(f302(f857(x36511,a844)),x36512),x36513)),f775(f775(f104(f857(x36511,a844)),x36512),f45(f857(x36511,a844),x36513)))
% 184.24/184.08 [3652]E(f44(f857(x36521,a844),f775(f775(f302(f857(x36521,a844)),x36522),x36523)),f775(f775(f103(f857(x36521,a844)),x36522),f44(f857(x36521,a844),x36523)))
% 184.24/184.08 [3654]E(f775(f775(f82(a850),f775(f775(f83(a850),x36541),x36542)),f775(f775(f83(a850),x36543),x36542)),f775(f775(f83(a850),f775(f775(f82(a850),x36541),x36543)),x36542))
% 184.24/184.08 [3655]E(f775(f775(f3(a850),f775(f775(f83(a850),x36551),x36552)),f775(f775(f83(a850),x36553),x36552)),f775(f775(f83(a850),f775(f775(f3(a850),x36551),x36553)),x36552))
% 184.24/184.08 [3656]E(f775(f775(f82(a1),f775(f775(f83(a1),x36561),x36562)),f775(f775(f83(a1),x36563),x36562)),f775(f775(f83(a1),f775(f775(f82(a1),x36561),x36563)),x36562))
% 184.24/184.08 [3658]E(f775(f775(f3(a1),f775(f775(f83(a1),x36581),x36582)),f775(f775(f83(a1),x36583),x36582)),f775(f775(f83(a1),f775(f775(f3(a1),x36581),x36583)),x36582))
% 184.24/184.08 [3659]E(f775(f775(f236(a850),f775(f775(f3(a850),x36591),x36592)),f775(f775(f3(a850),x36593),x36592)),f775(f775(f3(a850),f775(f775(f236(a850),x36591),x36593)),x36592))
% 184.24/184.08 [3683]E(f775(f775(f103(f857(x36831,a844)),x36832),f775(f775(f3(f857(x36831,a844)),x36833),x36832)),f775(f775(f103(f857(x36831,a844)),x36832),x36833))
% 184.24/184.08 [3684]E(f775(f775(f103(f857(x36841,a844)),x36842),f775(f775(f103(f857(x36841,a844)),x36842),x36843)),f775(f775(f103(f857(x36841,a844)),x36842),x36843))
% 184.24/184.08 [3685]E(f775(f775(f104(f857(x36851,a844)),x36852),f775(f775(f104(f857(x36851,a844)),x36852),x36853)),f775(f775(f104(f857(x36851,a844)),x36852),x36853))
% 184.24/184.08 [3697]E(f775(f775(f281(x36971,x36972,x36972),x36973),f300(x36972,f180(f857(f856(x36972,x36972),a844)))),x36973)
% 184.24/184.08 [3702]E(f775(f775(f103(f857(x37021,a844)),f775(f775(f302(x37021),x37022),f180(f857(x37021,a844)))),x37023),f775(f775(f302(x37021),x37022),x37023))
% 184.24/184.08 [3720]E(f775(f775(f3(a850),f775(f775(f3(a850),f775(a114,x37201)),x37202)),f775(a114,x37203)),f775(f775(f3(a850),f775(f775(f3(a850),x37201),x37202)),x37203))
% 184.24/184.08 [3748]E(f775(f775(f104(f857(f857(x37481,a844),a844)),f775(f301(x37481),x37482)),f775(f301(x37481),x37483)),f775(f301(x37481),f775(f775(f104(f857(x37481,a844)),x37482),x37483)))
% 184.24/184.08 [3751]E(f775(f775(f103(f857(x37511,a844)),f775(f81(f857(x37511,a844)),x37512)),x37513),f775(f81(f857(x37511,a844)),f775(f775(f3(f857(x37511,a844)),x37512),x37513)))
% 184.24/184.08 [3764]E(f775(f775(f302(x37641),x37642),f775(f775(f3(f857(x37641,a844)),x37643),f775(f775(f302(x37641),x37642),f180(f857(x37641,a844))))),f775(f775(f302(x37641),x37642),x37643))
% 184.24/184.08 [3775]P1(f775(f775(f232(f857(x37751,a844)),x37752),f775(f775(f103(f857(x37751,a844)),x37753),x37752)))
% 184.24/184.08 [3776]P1(f775(f775(f232(f857(x37761,a844)),x37762),f775(f775(f103(f857(x37761,a844)),x37762),x37763)))
% 184.24/184.08 [3779]E(f775(f775(f104(f857(x37791,a844)),f775(f81(f857(x37791,a844)),x37792)),f775(f81(f857(x37791,a844)),x37793)),f775(f81(f857(x37791,a844)),f775(f775(f103(f857(x37791,a844)),x37792),x37793)))
% 184.24/184.08 [3780]E(f775(f775(f103(f857(x37801,a844)),f775(f81(f857(x37801,a844)),x37802)),f775(f81(f857(x37801,a844)),x37803)),f775(f81(f857(x37801,a844)),f775(f775(f104(f857(x37801,a844)),x37802),x37803)))
% 184.24/184.08 [3793]P1(f775(f775(f232(f857(x37931,a844)),f775(f158(x37931),x37932)),f775(f158(x37931),f775(f775(f140(x37931),x37933),x37932))))
% 184.24/184.08 [3802]E(f775(f775(f103(f857(x38021,a844)),f775(f775(f3(f857(x38021,a844)),x38022),x38023)),f775(f775(f104(f857(x38021,a844)),x38022),x38023)),x38022)
% 184.24/184.08 [3852]E(f775(f775(f8(x38521,a1),f775(f775(f10(a850,a1,x38521),f102(a1)),x38522)),x38523),f775(f102(a1),f775(f775(f8(x38521,a850),x38522),x38523)))
% 184.24/184.08 [3853]E(f775(f775(f11(x38531,a1),f775(f775(f10(a850,a1,x38531),f102(a1)),x38532)),x38533),f775(f102(a1),f775(f775(f11(x38531,a850),x38532),x38533)))
% 184.24/184.08 [3909]E(f775(f81(f857(f856(x39091,x39092),a844)),f775(f775(f248(x39091,x39092),x39093),f775(f18(f857(x39092,a844),x39091),f239(f857(x39092,a844))))),f775(f775(f248(x39091,x39092),f775(f81(f857(x39091,a844)),x39093)),f775(f18(f857(x39092,a844),x39091),f239(f857(x39092,a844)))))
% 184.24/184.08 [3910]E(f775(f81(f857(f856(x39101,x39102),a844)),f775(f775(f248(x39101,x39102),f239(f857(x39101,a844))),f775(f18(f857(x39102,a844),x39101),x39103))),f775(f775(f248(x39101,x39102),f239(f857(x39101,a844))),f775(f18(f857(x39102,a844),x39101),f775(f81(f857(x39102,a844)),x39103))))
% 184.24/184.08 [3961]E(f775(f775(f46(f857(x39611,a844),f857(x39611,a844)),x39612),f775(f775(f9(f857(x39611,a844),f857(x39611,a844),f857(x39611,a844)),f104(f857(x39611,a844))),x39613)),f775(f775(f104(f857(x39611,a844)),f44(f857(x39611,a844),x39612)),x39613))
% 184.24/184.08 [3968]E(f775(f132(f851(x39681),f851(x39681),f125(x39681),f115(x39681)),f775(f775(f140(f851(x39681)),x39682),x39683)),f775(f775(f125(x39681),x39682),f775(f132(f851(x39681),f851(x39681),f125(x39681),f115(x39681)),x39683)))
% 184.24/184.08 [3991]E(f775(f775(f302(f857(x39911,a844)),f775(f277(x39911,x39911,x39912),f775(f775(f302(x39911),x39913),f180(f857(x39911,a844))))),f180(f857(f857(x39911,a844),a844))),f775(f775(f61(x39911),f775(f775(f302(x39911),x39913),f180(f857(x39911,a844)))),x39912))
% 184.24/184.08 [4001]E(f775(f775(f82(a850),f775(f775(f83(a850),x40011),f775(f775(f43(a850),x40012),x40013))),f775(f775(f43(a850),f775(f775(f83(a850),x40011),f52(a850,x40012,x40013))),x40013)),f775(f775(f43(a850),f775(f775(f83(a850),x40011),x40012)),x40013))
% 184.24/184.08 [4002]E(f775(f775(f82(a1),f775(f775(f83(a1),x40021),f775(f775(f43(a1),x40022),x40023))),f775(f775(f43(a1),f775(f775(f83(a1),x40021),f52(a1,x40022,x40023))),x40023)),f775(f775(f43(a1),f775(f775(f83(a1),x40021),x40022)),x40023))
% 184.24/184.08 [4086]E(f775(f775(f125(x40861),f775(f132(f851(x40861),f851(x40861),f125(x40861),f115(x40861)),x40862)),f775(f132(f851(x40861),f851(x40861),f125(x40861),f115(x40861)),x40863)),f775(f132(f851(x40861),f851(x40861),f125(x40861),f115(x40861)),f775(f775(f125(f851(x40861)),x40862),x40863)))
% 184.24/184.08 [4089]E(f775(f775(f241(f851(x40891),f851(x40891)),f775(f126(x40891,x40892),x40893)),f775(f126(x40891,f775(f75(a844,a844,x40891,a328),x40892)),x40893)),f156(x40891,x40892,x40893))
% 184.24/184.08 [4092]E(f775(f775(f82(a850),f775(f775(f82(a850),f775(f775(f43(a850),x40921),x40922)),f775(f775(f43(a850),x40923),x40922))),f775(f775(f43(a850),f775(f775(f82(a850),f52(a850,x40921,x40922)),f52(a850,x40923,x40922))),x40922)),f775(f775(f43(a850),f775(f775(f82(a850),x40921),x40923)),x40922))
% 184.24/184.08 [4093]E(f775(f775(f82(a1),f775(f775(f82(a1),f775(f775(f43(a1),x40931),x40932)),f775(f775(f43(a1),x40933),x40932))),f775(f775(f43(a1),f775(f775(f82(a1),f52(a1,x40931,x40932)),f52(a1,x40933,x40932))),x40932)),f775(f775(f43(a1),f775(f775(f82(a1),x40931),x40933)),x40932))
% 184.24/184.08 [4166]E(f775(f256(x41661),f775(f775(f20(x41661,a844,a844),f775(f775(f10(a844,f857(a844,a844),x41661),a332),f775(f775(f9(x41661,x41661,a844),a330),x41662))),f775(f775(f9(x41661,f857(x41661,a844),a844),f334(x41661)),x41663))),f775(f775(f302(x41661),x41662),x41663))
% 184.24/184.08 [4188]E(f775(f256(x41881),f775(f775(f20(x41881,a844,a844),f775(f775(f10(a844,f857(a844,a844),x41881),a332),f775(f775(f9(x41881,f857(x41881,a844),a844),f334(x41881)),x41882))),f775(f775(f9(x41881,f857(x41881,a844),a844),f334(x41881)),x41883))),f775(f775(f103(f857(x41881,a844)),x41882),x41883))
% 184.24/184.08 [4189]E(f775(f256(x41891),f775(f775(f20(x41891,a844,a844),f775(f775(f10(a844,f857(a844,a844),x41891),a331),f775(f775(f9(x41891,f857(x41891,a844),a844),f334(x41891)),x41892))),f775(f775(f9(x41891,f857(x41891,a844),a844),f334(x41891)),x41893))),f775(f775(f104(f857(x41891,a844)),x41892),x41893))
% 184.24/184.08 [4276]E(f775(f775(f46(x42761,f857(f857(x42761,a844),a844)),x42762),f775(f775(f9(x42761,f857(f857(x42761,a844),a844),f857(f857(x42761,a844),a844)),f775(f775(f10(f857(x42761,a844),f857(f857(f857(x42761,a844),a844),f857(f857(x42761,a844),a844)),x42761),f302(f857(x42761,a844))),f775(f775(f10(f857(x42761,a844),f857(x42761,a844),x42761),f277(x42761,x42761,x42763)),f775(f775(f9(x42761,f857(x42761,a844),f857(x42761,a844)),f302(x42761)),f180(f857(x42761,a844)))))),f180(f857(f857(x42761,a844),a844)))),f775(f775(f61(x42761),x42762),x42763))
% 184.24/184.08 [4278]E(f775(f775(f197(x42781),f775(f775(f83(a1),f775(f775(f75(f856(a1,a1),a1,x42781,f240(a1,a1)),f207(x42781)),x42782)),f775(f775(f75(f856(a1,a1),a1,x42781,f240(a1,a1)),f207(x42781)),x42783))),f775(f775(f83(a1),f775(f775(f75(f856(a1,a1),a1,x42781,f250(a1,a1)),f207(x42781)),x42782)),f775(f775(f75(f856(a1,a1),a1,x42781,f250(a1,a1)),f207(x42781)),x42783))),f222(x42781,x42782,x42783))
% 184.24/184.08 [3672]E(f52(a850,f775(f775(f82(a850),f775(f775(f83(a850),x36721),x36722)),x36723),x36722),f52(a850,x36723,x36722))
% 184.24/184.08 [3719]E(f130(a850,f775(f294(a850,f775(f775(f82(a850),x37191),x37192)),x37193)),f775(f775(f128(a850),x37192),f130(a850,f775(f294(a850,x37191),x37193))))
% 184.24/184.08 [3763]E(f775(f775(f82(a1),f775(f102(a1),x37631)),f775(f775(f82(a1),f775(f102(a1),x37632)),x37633)),f775(f775(f82(a1),f775(f102(a1),f775(f775(f82(a850),x37631),x37632))),x37633))
% 184.24/184.08 [3771]E(f775(f775(f3(f857(x37711,a844)),f775(f775(f3(f857(x37711,a844)),x37712),x37713)),x37713),f775(f775(f3(f857(x37711,a844)),x37712),x37713))
% 184.24/184.08 [3772]E(f775(f775(f103(f857(x37721,a844)),f775(f775(f3(f857(x37721,a844)),x37722),x37723)),x37723),f775(f775(f103(f857(x37721,a844)),x37722),x37723))
% 184.24/184.08 [3794]E(f775(f775(f281(x37941,x37941,x37942),f300(x37941,f180(f857(f856(x37941,x37941),a844)))),x37943),x37943)
% 184.24/184.08 [3799]E(f775(f775(f103(f857(x37991,a844)),f775(f276(x37991),x37992)),f775(f276(x37991),x37993)),f775(f276(x37991),f775(f775(f103(f857(f856(x37991,x37991),a844)),x37992),x37993)))
% 184.24/184.08 [3808]E(f263(x38081,f775(f775(f140(f856(a101,x38081)),f775(f775(f241(a101,x38081),f2(a101)),x38082)),x38083)),f263(x38081,x38083))
% 184.24/184.08 [3811]E(f775(f775(f104(f857(x38111,a844)),f45(f857(x38111,a844),x38112)),f45(f857(x38111,a844),x38113)),f45(f857(x38111,a844),f775(f775(f103(f857(f857(x38111,a844),a844)),x38112),x38113)))
% 184.24/184.08 [3812]E(f775(f775(f103(f857(x38121,a844)),f44(f857(x38121,a844),x38122)),f44(f857(x38121,a844),x38123)),f44(f857(x38121,a844),f775(f775(f103(f857(f857(x38121,a844),a844)),x38122),x38123)))
% 184.24/184.08 [3845]E(f775(f775(f281(x38451,x38451,x38451),f775(f775(f173(f856(x38451,x38451),a844),x38452),x38453)),x38453),f775(f775(f173(f856(x38451,x38451),a844),f775(a114,x38452)),x38453))
% 184.24/184.08 [3895]P1(f775(f775(f232(f857(x38951,a844)),f775(f775(f3(f857(x38951,a844)),x38952),x38953)),x38952))
% 184.24/184.08 [3896]P1(f775(f775(f232(f857(x38961,a844)),f775(f775(f104(f857(x38961,a844)),x38962),x38963)),x38963))
% 184.24/184.08 [3897]P1(f775(f775(f232(f857(x38971,a844)),f775(f775(f104(f857(x38971,a844)),x38972),x38973)),x38972))
% 184.24/184.08 [3922]E(f300(x39221,f775(f775(f103(f857(f856(x39221,x39221),a844)),f300(x39221,x39222)),f300(x39221,x39223))),f300(x39221,f775(f775(f103(f857(f856(x39221,x39221),a844)),x39222),x39223)))
% 184.24/184.08 [3926]E(f44(f857(x39261,a844),f775(f775(f302(f857(x39261,a844)),x39262),f775(f775(f302(f857(x39261,a844)),x39263),f180(f857(f857(x39261,a844),a844))))),f775(f775(f103(f857(x39261,a844)),x39262),x39263))
% 184.24/184.08 [3927]E(f45(f857(x39271,a844),f775(f775(f302(f857(x39271,a844)),x39272),f775(f775(f302(f857(x39271,a844)),x39273),f180(f857(f857(x39271,a844),a844))))),f775(f775(f104(f857(x39271,a844)),x39272),x39273))
% 184.24/184.08 [3933]E(f775(f775(f281(x39331,x39331,x39331),f775(f775(f173(f856(x39331,x39331),a844),x39332),x39333)),x39333),f775(f775(f281(x39331,x39331,x39331),x39333),f775(f775(f173(f856(x39331,x39331),a844),x39332),x39333)))
% 184.24/184.08 [4006]E(f775(f775(f103(f857(x40061,a844)),f775(f256(x40061),f775(f775(f9(x40061,x40061,a844),a330),x40062))),x40063),f775(f775(f302(x40061),x40062),x40063))
% 184.24/184.08 [4008]E(f775(a107,f775(f775(f8(x40081,a1),f775(f775(f10(a850,a1,x40081),f102(a1)),x40082)),x40083)),f775(f775(f8(x40081,a850),x40082),x40083))
% 184.24/184.08 [4009]E(f775(a107,f775(f775(f11(x40091,a1),f775(f775(f10(a850,a1,x40091),f102(a1)),x40092)),x40093)),f775(f775(f11(x40091,a850),x40092),x40093))
% 184.24/184.08 [4083]E(f775(f145(f851(x40831),x40831,f775(f157(x40831),x40832),f775(f18(f857(f851(x40831),f851(x40831)),x40831),f775(f775(f9(f851(x40831),f851(x40831),f851(x40831)),f125(x40831)),x40832))),x40833),f775(f157(x40831),f775(f775(f125(x40831),x40833),x40832)))
% 184.24/184.08 [4114]P1(f775(f775(f232(f857(f857(x41141,a844),a844)),f775(f775(f103(f857(f857(x41141,a844),a844)),f775(f301(x41141),x41142)),f775(f301(x41141),x41143))),f775(f301(x41141),f775(f775(f103(f857(x41141,a844)),x41142),x41143))))
% 184.24/184.08 [4207]E(f775(f256(x42071),f775(f775(f20(x42071,a844,a844),f775(f775(f10(a844,f857(a844,a844),x42071),a331),f775(f775(f9(x42071,f857(x42071,a844),a844),f334(x42071)),x42072))),f775(f775(f10(a844,a844,x42071),a328),f775(f775(f9(x42071,f857(x42071,a844),a844),f334(x42071)),x42073)))),f775(f775(f3(f857(x42071,a844)),x42072),x42073))
% 184.24/184.08 [4228]E(f775(f42(a850),f775(f256(a850),f775(f775(f20(a850,a844,a844),f775(f775(f10(a844,f857(a844,a844),a850),a331),f775(f775(f9(a850,a850,a844),f233(a850)),f775(f181(f851(x42281)),x42282)))),f775(f775(f10(x42281,a844,a850),x42283),f775(f153(x42281),x42282))))),f775(f181(f851(x42281)),f775(f126(x42281,x42283),x42282)))
% 184.24/184.08 [4230]E(f775(f181(f851(x42301)),f160(x42301,x42302,x42303)),f775(f42(a850),f775(f256(a850),f775(f775(f20(a850,a844,a844),f775(f775(f10(a844,f857(a844,a844),a850),a331),f775(f775(f9(a850,a850,a844),f233(a850)),f775(f181(f851(x42301)),x42302)))),f775(f775(f9(a850,f857(a850,a844),a844),f334(a850)),x42303)))))
% 184.24/184.08 [4323]E(f775(f775(f104(f857(f856(f851(x43231),f851(x43231)),a844)),f775(f303(f856(f856(x43231,f851(x43231)),f856(x43231,f851(x43231))),f856(f851(x43231),f851(x43231)),f252(f856(x43231,f851(x43231)),f851(x43231),f856(x43231,f851(x43231)),f851(x43231),f775(f251(x43231,f851(x43231),f851(x43231)),f140(x43231)),f775(f251(x43231,f851(x43231),f851(x43231)),f140(x43231)))),f325(x43231,f851(x43231),x43232,f775(f133(x43231,x43232),x43233)))),f775(f256(f856(f851(x43231),f851(x43231))),f775(f251(f851(x43231),f851(x43231),a844),f775(f775(f9(f851(x43231),f857(f851(x43231),a844),f857(f851(x43231),a844)),f775(f775(f10(f857(a844,a844),f857(f857(f851(x43231),a844),f857(f851(x43231),a844)),f851(x43231)),f10(a844,a844,f851(x43231))),f775(f775(f10(a844,f857(a844,a844),f851(x43231)),a331),f775(f775(f9(f851(x43231),a850,a844),f775(f775(f10(a850,f857(a850,a844),f851(x43231)),a330),f181(f851(x43231)))),f775(a114,x43233))))),f775(f775(f9(f851(x43231),a850,a844),f775(f775(f10(a850,f857(a850,a844),f851(x43231)),a330),f181(f851(x43231)))),f775(a114,x43233)))))),f775(f133(x43231,x43232),f775(a114,x43233)))
% 184.24/184.08 [3813]E(f52(a850,f775(a114,f775(f775(f82(a850),f775(f775(f83(a850),x38131),x38132)),x38133)),x38132),f52(a850,f775(a114,x38133),x38132))
% 184.24/184.08 [4073]E(f775(f256(x40731),f775(f775(f20(x40731,a844,a844),f775(f775(f10(a844,f857(a844,a844),x40731),a331),x40732)),x40733)),f775(f775(f104(f857(x40731,a844)),f775(f256(x40731),x40732)),f775(f256(x40731),x40733)))
% 184.24/184.08 [4074]E(f775(f256(x40741),f775(f775(f20(x40741,a844,a844),f775(f775(f10(a844,f857(a844,a844),x40741),a332),x40742)),x40743)),f775(f775(f103(f857(x40741,a844)),f775(f256(x40741),x40742)),f775(f256(x40741),x40743)))
% 184.24/184.08 [4076]E(f775(f775(f125(x40761),f775(f775(f128(x40761),f52(a850,x40762,f775(f181(f851(x40761)),x40763))),x40763)),f775(f775(f159(x40761),f52(a850,x40762,f775(f181(f851(x40761)),x40763))),x40763)),f775(f775(f775(f173(f851(x40761),f851(x40761)),x40762),f141(x40761)),x40763))
% 184.24/184.08 [4081]E(f775(f256(x40811),f775(f775(f20(x40811,a844,a844),f775(f775(f10(a844,f857(a844,a844),x40811),a335),x40812)),x40813)),f775(f775(f103(f857(x40811,a844)),f775(f81(f857(x40811,a844)),f775(f256(x40811),x40812))),f775(f256(x40811),x40813)))
% 184.24/184.08 [4095]E(f775(f775(f82(a850),f775(f181(f851(x40951)),f775(f126(x40951,x40952),x40953))),f775(f181(f851(x40951)),f775(f126(x40951,f775(f775(f10(a844,a844,x40951),a328),x40952)),x40953))),f775(f181(f851(x40951)),x40953))
% 184.24/184.08 [4122]P1(f775(f775(f232(f857(x41221,a844)),f775(f775(f103(f857(x41221,a844)),f45(f857(x41221,a844),x41222)),f45(f857(x41221,a844),x41223))),f45(f857(x41221,a844),f775(f775(f104(f857(f857(x41221,a844),a844)),x41222),x41223))))
% 184.24/184.08 [4138]E(f775(f158(x41381),f775(f126(x41381,f775(f775(f10(a844,a844,x41381),a328),f775(f775(f9(x41381,x41381,a844),a330),x41382))),x41383)),f775(f775(f3(f857(x41381,a844)),f775(f158(x41381),x41383)),f775(f775(f302(x41381),x41382),f180(f857(x41381,a844)))))
% 184.24/184.08 [4147]P1(f775(f775(f232(f857(f856(x41471,x41471),a844)),f775(f775(f103(f857(f856(x41471,x41471),a844)),f300(x41471,x41472)),f300(x41471,x41473))),f300(x41471,f775(f775(f103(f857(f856(x41471,x41471),a844)),x41472),x41473))))
% 184.24/184.08 [4171]E(f775(f775(f83(a850),f775(a114,f775(a114,f2(a850)))),f775(f775(f8(a850,a850),f775(f775(f10(a850,a850,a850),f775(f82(a850),x41711)),f775(f775(f9(a850,a850,a850),f83(a850)),x41712))),f775(f257(a850),x41713))),f775(f775(f83(a850),x41713),f775(f775(f82(a850),x41711),f775(f775(f82(a850),x41711),f775(f775(f83(a850),f775(f775(f3(a850),x41713),f80(a850))),x41712)))))
% 184.24/184.08 [4181]E(f775(f256(x41811),f775(f775(f20(x41811,a844,a844),f775(f775(f10(a844,f857(a844,a844),x41811),a331),f775(f775(f9(x41811,f857(x41811,a844),a844),f334(x41811)),f775(f158(x41811),x41812)))),x41813)),f775(f158(x41811),f775(f126(x41811,x41813),x41812)))
% 184.24/184.08 [4322]E(f775(f256(x43221),f775(f775(f10(f857(a850,a844),a844,x43221),f89(a850)),f775(f775(f9(x43221,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),x43221),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),x43221),f775(f10(a844,f857(a844,a844),a850),a331)),f775(f775(f9(x43221,f857(a850,x43221),f857(a850,a844)),f775(f775(f10(f857(x43221,a844),f857(f857(a850,x43221),f857(a850,a844)),x43221),f10(x43221,a844,a850)),a330)),f775(f153(x43221),x43222))))),f775(f775(f20(a850,a844,a844),f775(f775(f10(a844,f857(a844,a844),a850),a331),f775(f775(f9(a850,a850,a844),f233(a850)),f775(f181(f851(x43221)),x43222)))),f775(f775(f9(a850,f857(a850,a844),a844),f334(a850)),x43223))))),f775(f158(x43221),f160(x43221,x43222,x43223)))
% 184.24/184.08 [4218]E(f775(f256(x42181),f775(f775(f20(x42181,a844,a844),f775(f775(f10(a844,f857(a844,a844),x42181),a335),f775(f775(f10(a844,a844,x42181),a328),f775(f775(f9(x42181,x42181,a844),a330),x42182)))),x42183)),f775(f775(f302(x42181),x42182),f775(f256(x42181),x42183)))
% 184.24/184.08 [4249]E(f775(f775(f143(f856(x42491,a850),x42491),f240(x42491,a850)),f775(f126(f856(x42491,a850),f775(f775(f9(f856(x42491,a850),f857(a850,a844),a844),f775(f775(f10(a850,f857(f857(a850,a844),a844),f856(x42491,a850)),f334(a850)),f250(x42491,a850))),x42492)),f775(f775(f167(x42491,a850),x42493),f130(a850,f775(f294(a850,f2(a850)),f775(f181(f851(x42491)),x42493)))))),f160(x42491,x42493,x42492))
% 184.24/184.08 [4277]E(f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(f775(f8(a850,a1),f775(f775(f10(a1,a1,a850),f775(f82(a1),x42771)),f775(f775(f9(a850,a1,a1),f775(f775(f10(a1,f857(a1,a1),a850),f83(a1)),f102(a1))),x42772))),f775(f257(a850),x42773))),f775(f775(f83(a1),f775(f102(a1),x42773)),f775(f775(f82(a1),x42771),f775(f775(f82(a1),x42771),f775(f775(f83(a1),f775(f102(a1),f775(f775(f3(a850),x42773),f80(a850)))),x42772)))))
% 184.24/184.08 [4316]E(f775(f256(f856(x43161,x43162)),f775(f251(x43161,x43162,a844),f775(f775(f9(x43161,f857(f856(x43162,x43161),a844),f857(x43162,a844)),f775(f775(f10(f857(x43162,f857(f857(f856(x43162,x43161),a844),a844)),f857(f857(f856(x43162,x43161),a844),f857(x43162,a844)),x43161),f9(x43162,f857(f856(x43162,x43161),a844),a844)),f775(f775(f10(f857(x43162,f856(x43162,x43161)),f857(x43162,f857(f857(f856(x43162,x43161),a844),a844)),x43161),f775(f10(f856(x43162,x43161),f857(f857(f856(x43162,x43161),a844),a844),x43162),f334(f856(x43162,x43161)))),f775(f9(x43162,x43161,f856(x43162,x43161)),f241(x43162,x43161))))),x43163))),f775(f278(x43162,x43161),x43163))
% 184.24/184.08 [4351]E(f775(f256(f851(x43511)),f775(f775(f10(f857(x43511,a844),a844,f851(x43511)),f89(x43511)),f775(f775(f10(f857(x43511,f857(f851(x43511),a844)),f857(x43511,a844),f851(x43511)),f775(f10(f857(f851(x43511),a844),a844,x43511),f89(f851(x43511)))),f775(f775(f9(f851(x43511),f857(x43511,f857(f851(x43511),a844)),f857(x43511,f857(f851(x43511),a844))),f775(f775(f10(f857(x43511,f857(f857(f851(x43511),a844),f857(f851(x43511),a844))),f857(f857(x43511,f857(f851(x43511),a844)),f857(x43511,f857(f851(x43511),a844))),f851(x43511)),f20(x43511,f857(f851(x43511),a844),f857(f851(x43511),a844))),f775(f775(f10(f857(x43511,f857(f851(x43511),f857(a844,a844))),f857(x43511,f857(f857(f851(x43511),a844),f857(f851(x43511),a844))),f851(x43511)),f775(f10(f857(f851(x43511),f857(a844,a844)),f857(f857(f851(x43511),a844),f857(f851(x43511),a844)),x43511),f20(f851(x43511),a844,a844))),f775(f775(f10(f857(x43511,f857(f851(x43511),a844)),f857(x43511,f857(f851(x43511),f857(a844,a844))),f851(x43511)),f775(f10(f857(f851(x43511),a844),f857(f851(x43511),f857(a844,a844)),x43511),f775(f10(a844,f857(a844,a844),f851(x43511)),a331))),f775(f775(f9(f851(x43511),f857(x43511,f857(f851(x43511),f851(x43511))),f857(x43511,f857(f851(x43511),a844))),f775(f775(f10(f857(f857(f851(x43511),f851(x43511)),f857(f851(x43511),a844)),f857(f857(x43511,f857(f851(x43511),f851(x43511))),f857(x43511,f857(f851(x43511),a844))),f851(x43511)),f10(f857(f851(x43511),f851(x43511)),f857(f851(x43511),a844),x43511)),f775(f775(f10(f857(f851(x43511),a844),f857(f857(f851(x43511),f851(x43511)),f857(f851(x43511),a844)),f851(x43511)),f10(f851(x43511),a844,f851(x43511))),a330))),f140(x43511)))))),f775(f775(f9(x43511,f857(f851(x43511),a844),f857(f851(x43511),a844)),f775(f775(f10(f857(a844,a844),f857(f857(f851(x43511),a844),f857(f851(x43511),a844)),x43511),f10(a844,a844,f851(x43511))),f775(f775(f10(a844,f857(a844,a844),x43511),a331),f775(f775(f9(x43511,f857(x43511,a844),a844),f334(x43511)),x43512)))),f775(f775(f9(f851(x43511),f857(f851(x43511),a844),a844),f334(f851(x43511))),x43513)))))),f161(x43511,x43512,x43513))
% 184.24/184.08 [4336]E(f775(f775(f88(a1,f856(a1,a1)),f775(f775(f3(a1),x43361),x43362)),f775(f775(f9(a1,f856(a1,a1),f856(a1,a1)),f775(f775(f20(a1,f856(a1,a1),f857(f856(a1,a1),f856(a1,a1))),f775(f775(f10(a844,f857(f856(a1,a1),f857(f856(a1,a1),f856(a1,a1))),a1),f98(f856(a1,a1))),f775(f232(a1),f2(a1)))),f775(f241(a1,a1),f775(f775(f82(a1),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x43363)),f80(a1))))),f775(f775(f241(a1,a1),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x43363)),x43361))),f775(f50(x43362),f775(f775(f241(a1,a1),x43363),x43361)))
% 184.24/184.08 [4387]~E(f36(x43871,x43872),f35(x43873,x43874))
% 184.24/184.08 [4390]~E(f28(x43901,x43902),f35(x43903,x43904))
% 184.24/184.08 [4391]~E(f28(x43911,x43912),f36(x43913,x43914))
% 184.24/184.08 [4409]~E(f775(a27,x44091),f33(x44092,x44093,x44094))
% 184.24/184.08 [4410]~E(f775(a27,x44101),f32(x44102,x44103,x44104))
% 184.24/184.08 [4411]~E(f775(a27,x44111),f31(x44112,x44113,x44114))
% 184.24/184.08 [4412]~E(f33(x44121,x44122,x44123),f775(a27,x44124))
% 184.24/184.08 [4413]~E(f32(x44131,x44132,x44133),f775(a27,x44134))
% 184.24/184.08 [4414]~E(f31(x44141,x44142,x44143),f775(a27,x44144))
% 184.24/184.08 [3367]E(f775(f775(f775(f74(x33671,x33672),x33673),x33674),f775(x33673,x33674)),x33673)
% 184.24/184.08 [3430]E(f775(f775(f243(x34301,x34302,x34303),x34304),f2(a850)),x34302)
% 184.24/184.08 [3469]E(f175(x34691,x34692,x34693,f775(a114,x34694)),f775(x34693,x34694))
% 184.24/184.08 [3510]E(f151(x35101,x35102,f151(x35101,x35103,x35104)),f151(x35101,x35103,f151(x35101,x35102,x35104)))
% 184.24/184.08 [3627]P39(f28(x36271,x36272),x36273,x36274,f775(f775(f775(a189,x36273),x36271),f775(x36272,x36273)))
% 184.24/184.08 [3639]E(f775(f229(x36391,x36392,x36393,x36394),f183(x36392)),x36393)
% 184.24/184.08 [3641]E(f775(f145(x36411,x36412,x36413,x36414),f115(x36412)),x36413)
% 184.24/184.08 [3642]E(f775(f132(x36421,x36422,x36423,x36424),f115(x36422)),x36424)
% 184.24/184.08 [3679]E(f775(f181(f855(x36791,x36792)),f215(x36791,x36792,x36793,x36794)),f2(a850))
% 184.24/184.08 [3704]E(f775(f251(x37041,x37042,x37043),f249(x37041,x37042,x37043,x37044)),x37044)
% 184.24/184.08 [3760]E(f775(f229(f854(x37601),x37602,f183(x37601),f775(f18(f854(x37601),x37602),f183(x37601))),f775(x37603,x37604)),f183(x37601))
% 184.24/184.08 [3803]E(f775(f775(f103(f857(x38031,a844)),f169(x38031,x38032,x38033)),f169(x38031,x38032,x38034)),f169(x38031,x38032,f170(x38031,x38032,x38034,x38033)))
% 184.24/184.08 [3832]E(f775(f775(f253(x38321,x38322,x38323,f856(x38322,x38323)),x38324),f241(x38322,x38323)),x38324)
% 184.24/184.08 [3841]E(f230(x38411,x38412,x38413,x38414,f183(x38412)),x38413)
% 184.24/184.08 [4129]P41(x41291,x41292,x41293,x41294,f180(f857(x41291,a844)),x41294)
% 184.24/184.08 [4438]~E(f775(f313(x44381,x44382),x44383),f775(f304(x44382,x44381),x44384))
% 184.24/184.08 [3176]E(f775(f775(f18(x31761,x31762),x31763),x31764),x31763)
% 184.24/184.08 [3289]E(f775(f775(f196(x32891,x32892),x32893),f775(f227(x32891),x32894)),f775(f227(x32892),f775(x32893,x32894)))
% 184.24/184.08 [3461]E(f151(x34611,x34612,f775(f126(x34611,x34613),x34614)),f775(f126(x34611,x34613),f151(x34611,x34612,x34614)))
% 184.24/184.08 [3494]E(f775(f775(f66(x34941,x34942,x34943),x34944),f180(f857(x34941,a844))),x34944)
% 184.24/184.08 [3516]E(f775(f775(f153(x35161),f775(f775(f140(x35161),x35162),x35163)),f775(a114,x35164)),f775(f775(f153(x35161),x35163),x35164))
% 184.24/184.08 [3554]P31(x35541,f2(a850),f775(f775(f775(f93(x35541),x35542),f775(a27,x35543)),x35544))
% 184.24/184.08 [3579]E(f775(f775(x35791,x35792),f775(f174(x35793,x35794,x35791),x35792)),f775(f174(x35793,x35794,x35791),f775(a114,x35792)))
% 184.24/184.08 [3619]E(f249(x36191,x36192,x36193,f775(f251(x36191,x36192,x36193),x36194)),x36194)
% 184.24/184.08 [3677]E(f775(f775(f148(x36771,f775(f775(f140(x36771),x36772),x36773)),f2(a850)),x36774),f775(f775(f140(x36771),x36774),x36773))
% 184.24/184.08 [3687]E(f775(f775(f46(f857(x36871,a844),f857(x36872,a844)),x36873),f303(x36871,x36872,x36874)),f775(f303(x36871,x36872,x36874),f44(f857(x36871,a844),x36873)))
% 184.24/184.08 [3688]E(f775(f775(f46(f857(x36881,a844),f857(x36882,a844)),x36883),f305(x36882,x36881,x36884)),f775(f305(x36882,x36881,x36884),f44(f857(x36881,a844),x36883)))
% 184.24/184.08 [3788]E(f169(x37881,x37882,f172(x37881,x37882,x37883,x37884)),f775(f775(f104(f857(x37881,a844)),f169(x37881,x37882,x37883)),x37884))
% 184.24/184.08 [3807]E(f775(f132(x38071,x38072,f775(f9(x38072,x38071,x38071),x38073),x38074),f775(f142(x38072),f115(x38072))),x38074)
% 184.24/184.08 [3851]E(f78(x38511,x38512,x38513,x38514,f180(f857(x38511,a844))),x38513)
% 184.24/184.08 [3898]E(f775(f775(f775(f775(f74(x38981,f854(x38982)),f775(f18(f854(x38982),x38981),f183(x38982))),x38983),f183(x38982)),x38984),f183(x38982))
% 184.24/184.08 [4047]E(f319(x40471,x40472,x40473,f775(f775(f10(f858(x40471,x40473),x40472,x40471),x40474),f304(x40471,x40473)),f775(f775(f10(f858(x40471,x40473),x40472,x40473),x40474),f313(x40473,x40471))),x40474)
% 184.24/184.08 [4057]E(f775(f251(x40571,x40572,x40573),f775(f775(f10(f857(x40572,f856(x40571,x40572)),f857(x40572,x40573),x40571),f775(f10(f856(x40571,x40572),x40573,x40572),x40574)),f241(x40571,x40572))),x40574)
% 184.24/184.08 [3365]E(f775(f250(x33651,x33652),f775(f775(f241(x33651,x33652),x33653),x33654)),x33654)
% 184.24/184.08 [3366]E(f775(f240(x33661,x33662),f775(f775(f241(x33661,x33662),x33663),x33664)),x33663)
% 184.24/184.08 [3403]E(f775(f181(f851(x34031)),f775(f775(f143(x34032,x34031),x34033),x34034)),f775(f181(f851(x34032)),x34034))
% 184.24/184.08 [3404]E(f775(f181(f851(x34041)),f775(f775(f148(x34041,x34042),x34043),x34044)),f775(f181(f851(x34041)),x34042))
% 184.24/184.08 [3425]E(f775(f775(f128(x34251),f775(a114,x34252)),f775(f775(f140(x34251),x34253),x34254)),f775(f775(f128(x34251),x34252),x34254))
% 184.24/184.08 [3496]E(f775(f775(f302(x34961),x34962),f775(f775(f302(x34961),x34963),x34964)),f775(f775(f302(x34961),x34963),f775(f775(f302(x34961),x34962),x34964)))
% 184.24/184.08 [3499]E(f775(f775(f143(x34991,x34992),x34993),f116(x34991,x34994)),f116(x34992,f775(f775(f143(x34991,x34992),x34993),x34994)))
% 184.24/184.08 [3514]E(f775(f142(x35141),f775(f775(f143(x35142,x35141),x35143),x35144)),f775(f775(f143(x35142,x35141),x35143),f775(f142(x35142),x35144)))
% 184.24/184.08 [3515]E(f775(f775(f143(x35151,x35152),x35153),f775(f157(x35151),x35154)),f775(f157(x35152),f775(f775(f143(x35151,x35152),x35153),x35154)))
% 184.24/184.08 [3524]E(f775(f775(f159(x35241),f775(a114,x35242)),f775(f775(f140(x35241),x35243),x35244)),f775(f775(f140(x35241),x35243),f775(f775(f159(x35241),x35242),x35244)))
% 184.24/184.08 [3528]E(f775(f158(x35281),f775(f775(f143(x35282,x35281),x35283),x35284)),f775(f303(x35282,x35281,x35283),f775(f158(x35282),x35284)))
% 184.24/184.08 [3578]E(f19(x35781,x35782,x35783,f775(a5,f775(a114,f775(a22,x35784)))),f775(x35783,x35784))
% 184.24/184.08 [3582]E(f775(f775(f125(x35821),f775(f126(x35821,x35822),x35823)),f775(f126(x35821,x35822),x35824)),f775(f126(x35821,x35822),f775(f775(f125(x35821),x35823),x35824)))
% 184.24/184.08 [3609]E(f775(f278(x36091,x36091),f775(f775(f280(x36092,x36091),x36093),x36094)),f775(f775(f280(x36092,x36091),f775(f278(x36092,x36092),x36093)),x36094))
% 184.24/184.08 [3620]E(f775(f775(f281(x36201,x36202,x36203),x36204),f180(f857(f856(x36202,x36203),a844))),f180(f857(f856(x36201,x36203),a844)))
% 184.24/184.08 [3621]E(f775(f775(f159(x36211),f775(f775(f3(a850),x36212),x36213)),f775(f775(f128(x36211),x36213),x36214)),f775(f775(f128(x36211),x36213),f775(f775(f159(x36211),x36212),x36214)))
% 184.24/184.08 [3643]E(f775(f775(f775(f273(x36431),x36432),x36433),x36434),f775(f241(f857(a101,f857(a844,f854(f852(x36431)))),f856(a101,a101)),f775(f49(x36431),x36432)))
% 184.24/184.08 [3669]E(f45(f857(x36691,a844),f775(f303(x36692,f857(x36691,a844),x36693),x36694)),f775(f775(f47(x36692,f857(x36691,a844)),x36694),x36693))
% 184.24/184.08 [3670]E(f44(f857(x36701,a844),f775(f303(x36702,f857(x36701,a844),x36703),x36704)),f775(f775(f46(x36702,f857(x36701,a844)),x36704),x36703))
% 184.24/184.08 [3671]E(f775(f181(f851(f856(x36711,x36712))),f775(f775(f167(x36711,x36712),x36713),x36714)),f775(f775(f236(a850),f775(f181(f851(x36711)),x36713)),f775(f181(f851(x36712)),x36714)))
% 184.24/184.08 [3673]E(f775(f305(x36731,x36732,x36733),f775(f81(f857(x36732,a844)),x36734)),f775(f81(f857(x36731,a844)),f775(f305(x36731,x36732,x36733),x36734)))
% 184.24/184.08 [3705]E(f775(f172(x37051,x37052,x37053,f180(f857(x37051,a844))),x37054),f183(x37052))
% 184.24/184.08 [3724]E(f775(f305(x37241,x37242,x37243),f775(f256(x37242),x37244)),f775(f256(x37241),f775(f775(f10(x37242,a844,x37241),x37244),x37243)))
% 184.24/184.08 [3742]E(f775(f775(f153(x37421),f775(f775(f125(x37421),x37422),f775(f775(f140(x37421),x37423),x37424))),f775(f181(f851(x37421)),x37422)),x37423)
% 184.24/184.08 [3747]E(f775(f172(x37471,x37472,f775(f18(f854(x37472),x37471),f183(x37472)),x37473),x37474),f183(x37472))
% 184.24/184.08 [3769]E(f775(f303(x37691,x37692,x37693),f775(f305(x37691,x37692,x37693),x37694)),f775(f775(f104(f857(x37692,a844)),x37694),f775(f303(x37691,x37692,x37693),f239(f857(x37691,a844)))))
% 184.24/184.08 [3787]P1(f775(f775(f334(x37871),f775(x37872,x37873)),f775(f303(x37874,x37871,x37872),f239(f857(x37874,a844)))))
% 184.24/184.08 [3795]E(f21(x37951,x37952,x37953,f775(a5,f775(a114,f775(a22,x37954)))),f775(f775(x37953,x37954),f21(x37951,x37952,x37953,x37954)))
% 184.24/184.08 [3810]E(f144(x38101,x38102,f775(f775(f140(x38101),x38103),x38104)),f775(f775(f82(a850),f775(f775(f82(a850),f775(x38102,x38103)),f144(x38101,x38102,x38104))),f775(a114,f2(a850))))
% 184.24/184.08 [3823]E(f175(f851(x38231),f775(f775(f140(x38231),x38232),x38233),f775(f775(f9(a850,f851(x38231),f851(x38231)),f128(x38231)),x38233),x38234),f775(f775(f128(x38231),x38234),f775(f775(f140(x38231),x38232),x38233)))
% 184.24/184.08 [3824]P29(x38241,f856(x38242,x38241),f336(x38243,x38244,x38242,x38241),f775(f775(f46(x38242,f857(x38241,a844)),x38244),x38243))
% 184.24/184.08 [3833]E(f775(f775(f3(f857(x38331,a844)),f775(f775(f3(f857(x38331,a844)),x38332),x38333)),f775(f775(f302(x38331),x38334),f180(f857(x38331,a844)))),f775(f775(f3(f857(x38331,a844)),x38332),f775(f775(f302(x38331),x38334),x38333)))
% 184.24/184.08 [3844]E(f775(f775(f173(f857(x38441,x38442),f857(x38441,x38442)),x38443),f75(x38442,x38442,x38441,x38444)),f75(x38442,x38442,x38441,f775(f775(f173(x38442,x38442),x38443),x38444)))
% 184.24/184.08 [3921]E(f775(f775(f775(f173(f851(x39211),f851(x39211)),x39212),f141(x39211)),f775(f775(f775(f173(f851(x39211),f851(x39211)),x39213),f141(x39211)),x39214)),f775(f775(f775(f173(f851(x39211),f851(x39211)),f775(f775(f82(a850),x39212),x39213)),f141(x39211)),x39214))
% 184.24/184.08 [3970]E(f775(f775(f103(f857(f858(x39701,x39702),a844)),f775(f303(x39701,f858(x39701,x39702),f304(x39701,x39702)),x39703)),f775(f303(x39702,f858(x39701,x39702),f313(x39702,x39701)),x39704)),f314(x39701,x39702,x39703,x39704))
% 184.24/184.08 [4011]P1(f775(f775(f232(f857(x40111,a844)),f775(f158(x40111),f775(f775(f148(x40111,x40112),x40113),x40114))),f775(f775(f302(x40111),x40114),f775(f158(x40111),x40112))))
% 184.24/184.08 [4045]E(f775(f775(f46(f857(x40451,a844),f857(f856(x40451,x40452),a844)),x40453),f775(f775(f9(f857(x40451,a844),f857(x40451,f857(x40452,a844)),f857(f856(x40451,x40452),a844)),f248(x40451,x40452)),x40454)),f775(f775(f248(x40451,x40452),f44(f857(x40451,a844),x40453)),x40454))
% 184.24/184.08 [4082]E(f204(x40821,x40822,x40823,f775(f75(x40822,f857(a101,f857(a101,f857(f856(a101,a101),f857(a101,f852(x40822))))),x40821,f203(x40822)),x40824)),f205(x40821,x40822,x40824,x40823))
% 184.24/184.08 [4098]E(f200(x40981,x40982,x40983,f775(f75(x40982,f857(a101,f857(a101,f857(f856(a101,a101),f857(a101,f852(f854(x40982)))))),x40981,f199(x40982)),x40984)),f201(x40981,x40982,x40984,x40983))
% 184.24/184.08 [4103]P1(f775(f68(x41031,x41032,x41033,x41034,f180(f857(x41031,a844))),x41034))
% 184.24/184.08 [4150]E(f775(f775(f46(x41501,f857(x41502,a844)),x41503),f775(f775(f9(x41501,f857(x41502,a844),f857(x41502,a844)),f775(f775(f10(x41502,f857(f857(x41502,a844),f857(x41502,a844)),x41501),f302(x41502)),x41504)),f180(f857(x41502,a844)))),f775(f303(x41501,x41502,x41504),x41503))
% 184.24/184.08 [4156]P1(f775(f775(f232(f857(x41561,a844)),f775(f259(x41562,x41561),f775(f775(f104(f857(f856(x41562,x41561),a844)),x41563),x41564))),f775(f775(f104(f857(x41561,a844)),f775(f259(x41562,x41561),x41563)),f775(f259(x41562,x41561),x41564))))
% 184.24/184.08 [4157]P1(f775(f775(f232(f857(x41571,a844)),f775(f261(x41571,x41572),f775(f775(f104(f857(f856(x41571,x41572),a844)),x41573),x41574))),f775(f775(f104(f857(x41571,a844)),f775(f261(x41571,x41572),x41573)),f775(f261(x41571,x41572),x41574))))
% 184.24/184.08 [4216]P1(f775(f775(f232(f857(f856(x42161,x42162),a844)),f775(f303(x42162,f856(x42161,x42162),f336(x42163,x42164,x42161,x42162)),f775(f775(f46(x42161,f857(x42162,a844)),x42164),x42163))),f775(f775(f248(x42161,x42162),x42164),x42163)))
% 184.24/184.08 [4217]E(f271(x42171,x42172,x42173,f775(f75(x42172,f857(a101,f857(a101,f857(f856(a101,a101),f856(f857(a101,f857(a844,f854(f852(x42172)))),f856(a101,a101))))),x42171,f273(x42172)),x42174)),f274(x42171,x42172,x42174,x42173))
% 184.29/184.08 [4255]E(f87(f856(x42551,x42552),f775(f251(x42551,x42552,a844),f775(f775(f9(x42551,f857(x42552,a844),f857(x42552,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x42552,a844),f857(x42552,a844)),x42551),f10(a844,a844,x42552)),f775(f775(f10(a844,f857(a844,a844),x42551),a331),f775(a330,x42553)))),f775(a330,x42554)))),f775(f775(f241(x42551,x42552),x42553),x42554))
% 184.29/184.08 [4256]E(f92(f856(x42561,x42562),f775(f251(x42561,x42562,a844),f775(f775(f9(x42561,f857(x42562,a844),f857(x42562,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x42562,a844),f857(x42562,a844)),x42561),f10(a844,a844,x42562)),f775(f775(f10(a844,f857(a844,a844),x42561),a331),f775(a330,x42563)))),f775(a330,x42564)))),f775(f775(f241(x42561,x42562),x42563),x42564))
% 184.29/184.08 [4326]E(f775(f775(f251(f851(x43261),f851(x43261),f856(f851(x43261),f851(x43261))),f775(f775(f20(f851(x43261),f857(f851(x43261),f856(f851(x43261),f851(x43261))),f857(f851(x43261),f856(f851(x43261),f851(x43261)))),f775(f775(f10(f857(f851(x43261),f857(f856(f851(x43261),f851(x43261)),f856(f851(x43261),f851(x43261)))),f857(f857(f851(x43261),f856(f851(x43261),f851(x43261))),f857(f851(x43261),f856(f851(x43261),f851(x43261)))),f851(x43261)),f20(f851(x43261),f856(f851(x43261),f851(x43261)),f856(f851(x43261),f851(x43261)))),f775(f775(f10(f857(f851(x43261),f856(f851(x43261),f851(x43261))),f857(f851(x43261),f857(f856(f851(x43261),f851(x43261)),f856(f851(x43261),f851(x43261)))),f851(x43261)),f775(f10(f856(f851(x43261),f851(x43261)),f857(f856(f851(x43261),f851(x43261)),f856(f851(x43261),f851(x43261))),f851(x43261)),f775(f98(f856(f851(x43261),f851(x43261))),f775(x43262,x43263)))),f775(f775(f10(f851(x43261),f857(f851(x43261),f856(f851(x43261),f851(x43261))),f851(x43261)),f241(f851(x43261),f851(x43261))),f775(f140(x43261),x43263))))),f775(f775(f9(f851(x43261),f857(f851(x43261),f851(x43261)),f857(f851(x43261),f856(f851(x43261),f851(x43261)))),f775(f775(f10(f857(f851(x43261),f856(f851(x43261),f851(x43261))),f857(f857(f851(x43261),f851(x43261)),f857(f851(x43261),f856(f851(x43261),f851(x43261)))),f851(x43261)),f10(f851(x43261),f856(f851(x43261),f851(x43261)),f851(x43261))),f241(f851(x43261),f851(x43261)))),f775(f140(x43261),x43263)))),f156(x43261,x43262,x43264)),f156(x43261,x43262,f775(f775(f140(x43261),x43263),x43264)))
% 184.29/184.08 [4332]E(f775(f132(f857(x43321,f854(x43322)),f856(x43321,x43322),f775(f9(f856(x43321,x43322),f857(x43321,f854(x43322)),f857(x43321,f854(x43322))),f775(f251(x43321,x43322,f857(f857(x43321,f854(x43322)),f857(x43321,f854(x43322)))),f775(f775(f9(x43321,f857(x43322,f854(x43322)),f857(x43322,f857(f857(x43321,f854(x43322)),f857(x43321,f854(x43322))))),f775(f775(f10(f857(f854(x43322),f857(f857(x43321,f854(x43322)),f857(x43321,f854(x43322)))),f857(f857(x43322,f854(x43322)),f857(x43322,f857(f857(x43321,f854(x43322)),f857(x43321,f854(x43322))))),x43321),f10(f854(x43322),f857(f857(x43321,f854(x43322)),f857(x43321,f854(x43322))),x43322)),f775(f775(f10(f857(f857(x43321,f854(x43322)),f857(f854(x43322),f857(x43321,f854(x43322)))),f857(f854(x43322),f857(f857(x43321,f854(x43322)),f857(x43321,f854(x43322)))),x43321),f9(f857(x43321,f854(x43322)),f854(x43322),f857(x43321,f854(x43322)))),f775(f9(f857(x43321,f854(x43322)),x43321,f857(f854(x43322),f857(x43321,f854(x43322)))),f74(x43321,f854(x43322)))))),f227(x43322)))),x43323),f775(f142(f856(x43321,x43322)),x43324)),f170(x43321,x43322,x43323,f166(x43321,x43322,x43324)))
% 184.29/184.08 [3444]E(f775(f181(f849(x34441)),f775(f775(f775(f93(x34441),x34442),x34443),x34444)),f2(a850))
% 184.29/184.08 [3557]E(f775(f775(f159(x35571),x35572),f775(f775(f159(x35571),x35573),x35574)),f775(f775(f159(x35571),f775(f775(f236(a850),x35572),x35573)),x35574))
% 184.29/184.08 [3558]E(f775(f775(f128(x35581),x35582),f775(f775(f128(x35581),x35583),x35584)),f775(f775(f128(x35581),f775(f775(f82(a850),x35582),x35583)),x35584))
% 184.29/184.08 [3570]E(f775(f775(f125(x35701),f775(f775(f140(x35701),x35702),x35703)),x35704),f775(f775(f140(x35701),x35702),f775(f775(f125(x35701),x35703),x35704)))
% 184.29/184.08 [3571]E(f775(f775(f125(x35711),f775(f775(f125(x35711),x35712),x35713)),x35714),f775(f775(f125(x35711),x35712),f775(f775(f125(x35711),x35713),x35714)))
% 184.29/184.08 [3653]E(f775(f775(f153(x36531),f775(f775(f140(x36531),x36532),x36533)),x36534),f175(x36531,x36532,f775(f153(x36531),x36533),x36534))
% 184.29/184.08 [3662]E(f775(f775(f173(x36621,x36621),x36622),f775(f775(f173(x36621,x36621),x36623),x36624)),f775(f775(f173(x36621,x36621),f775(f775(f83(a850),x36623),x36622)),x36624))
% 184.29/184.08 [3690]E(f775(f775(f103(f857(x36901,a844)),x36902),f775(f775(f302(x36901),x36903),x36904)),f775(f775(f302(x36901),x36903),f775(f775(f103(f857(x36901,a844)),x36902),x36904)))
% 184.29/184.08 [3708]E(f775(f775(f775(f173(x37081,x37081),x37082),x37083),f775(x37083,x37084)),f775(x37083,f775(f775(f775(f173(x37081,x37081),x37082),x37083),x37084)))
% 184.29/184.08 [3715]E(f775(f775(f281(x37151,x37152,x37153),f180(f857(f856(x37151,x37152),a844))),x37154),f180(f857(f856(x37151,x37153),a844)))
% 184.29/184.08 [3731]E(f775(f775(f103(f857(x37311,a844)),f775(f775(f302(x37311),x37312),x37313)),x37314),f775(f775(f302(x37311),x37312),f775(f775(f103(f857(x37311,a844)),x37313),x37314)))
% 184.29/184.08 [3749]E(f775(f42(f856(x37491,x37492)),f775(f775(f248(x37491,x37492),x37493),f775(f18(f857(x37492,a844),x37491),x37494))),f775(f775(f83(a850),f775(f42(x37491),x37493)),f775(f42(x37492),x37494)))
% 184.29/184.08 [3757]E(f775(f775(f104(f857(x37571,a844)),f775(f775(f302(x37571),x37572),x37573)),f775(f775(f302(x37571),x37572),x37574)),f775(f775(f302(x37571),x37572),f775(f775(f104(f857(x37571,a844)),x37573),x37574)))
% 184.29/184.08 [3767]E(f170(x37671,x37672,f166(x37671,x37672,x37673),f166(x37671,x37672,x37674)),f166(x37671,x37672,f775(f775(f125(f856(x37671,x37672)),x37674),x37673)))
% 184.29/184.08 [3773]E(f775(f775(f103(f857(x37731,a844)),x37732),f775(f775(f103(f857(x37731,a844)),x37733),x37734)),f775(f775(f103(f857(x37731,a844)),x37733),f775(f775(f103(f857(x37731,a844)),x37732),x37734)))
% 184.29/184.08 [3774]E(f775(f775(f104(f857(x37741,a844)),x37742),f775(f775(f104(f857(x37741,a844)),x37743),x37744)),f775(f775(f104(f857(x37741,a844)),x37743),f775(f775(f104(f857(x37741,a844)),x37742),x37744)))
% 184.29/184.08 [3783]E(f66(x37831,x37832,f775(f775(f10(x37832,f857(x37832,x37832),x37831),x37833),x37834)),f775(f67(x37832,x37831,x37833),x37834))
% 184.29/184.08 [3792]E(f164(x37921,f775(f775(f143(f851(x37922),f851(x37921)),f775(f143(x37922,x37921),x37923)),x37924)),f775(f775(f143(f851(x37922),f851(x37921)),f775(f143(x37922,x37921),x37923)),f164(x37922,x37924)))
% 184.29/184.08 [3809]E(f172(x38091,x38092,x38093,f775(f81(f857(x38091,a844)),f775(f775(f302(x38091),x38094),f180(f857(x38091,a844))))),f775(f775(f775(f74(x38091,f854(x38092)),x38093),x38094),f183(x38092)))
% 184.29/184.08 [3865]E(f775(f75(x38651,x38651,x38651,f775(f775(f173(x38651,x38651),x38652),x38653)),f775(f775(f173(x38651,x38651),x38654),x38653)),f775(f775(f173(x38651,x38651),f775(f775(f82(a850),x38652),x38654)),x38653))
% 184.29/184.08 [3880]E(f775(f775(f775(f74(x38801,f854(x38802)),f166(x38801,x38802,x38803)),f775(f240(x38801,x38802),x38804)),f775(f227(x38802),f775(f250(x38801,x38802),x38804))),f166(x38801,x38802,f775(f775(f140(f856(x38801,x38802)),x38804),x38803)))
% 184.29/184.08 [3887]E(f170(x38871,x38872,x38873,f166(x38871,x38872,f775(f142(f856(x38871,x38872)),f775(f775(f167(x38871,x38872),x38874),f115(x38872))))),x38873)
% 184.29/184.08 [3890]E(f775(f775(f104(f857(x38901,a844)),f775(f775(f3(f857(x38901,a844)),x38902),x38903)),f775(f775(f3(f857(x38901,a844)),x38902),x38904)),f775(f775(f3(f857(x38901,a844)),x38902),f775(f775(f103(f857(x38901,a844)),x38903),x38904)))
% 184.29/184.08 [3891]E(f775(f775(f103(f857(x38911,a844)),f775(f775(f3(f857(x38911,a844)),x38912),x38913)),f775(f775(f3(f857(x38911,a844)),x38912),x38914)),f775(f775(f3(f857(x38911,a844)),x38912),f775(f775(f104(f857(x38911,a844)),x38913),x38914)))
% 184.29/184.08 [3892]E(f775(f775(f104(f857(x38921,a844)),f775(f775(f103(f857(x38921,a844)),x38922),x38923)),f775(f775(f103(f857(x38921,a844)),x38922),x38924)),f775(f775(f103(f857(x38921,a844)),x38922),f775(f775(f104(f857(x38921,a844)),x38923),x38924)))
% 184.29/184.08 [3893]E(f775(f775(f3(f857(x38931,a844)),f775(f775(f104(f857(x38931,a844)),x38932),x38933)),f775(f775(f104(f857(x38931,a844)),x38932),x38934)),f775(f775(f104(f857(x38931,a844)),x38932),f775(f775(f3(f857(x38931,a844)),x38933),x38934)))
% 184.29/184.08 [3894]E(f775(f775(f103(f857(x38941,a844)),f775(f775(f104(f857(x38941,a844)),x38942),x38943)),f775(f775(f104(f857(x38941,a844)),x38942),x38944)),f775(f775(f104(f857(x38941,a844)),x38942),f775(f775(f103(f857(x38941,a844)),x38943),x38944)))
% 184.29/184.08 [3900]E(f775(f42(f856(x39001,x39002)),f775(f775(f248(x39001,x39002),f775(f775(f302(x39001),x39003),f180(f857(x39001,a844)))),f775(f18(f857(x39002,a844),x39001),x39004))),f775(f42(x39002),x39004))
% 184.29/184.08 [3937]E(f775(f775(f47(x39371,f857(x39372,a844)),x39373),f775(f775(f10(f857(x39372,a844),f857(x39372,a844),x39371),f81(f857(x39372,a844))),x39374)),f775(f81(f857(x39372,a844)),f775(f775(f46(x39371,f857(x39372,a844)),x39373),x39374)))
% 184.29/184.08 [3938]E(f775(f775(f46(x39381,f857(x39382,a844)),x39383),f775(f775(f10(f857(x39382,a844),f857(x39382,a844),x39381),f81(f857(x39382,a844))),x39384)),f775(f81(f857(x39382,a844)),f775(f775(f47(x39381,f857(x39382,a844)),x39383),x39384)))
% 184.29/184.08 [3954]E(f775(f775(f281(x39541,x39541,x39541),f775(f775(f173(f856(x39541,x39541),a844),x39542),x39543)),f775(f775(f173(f856(x39541,x39541),a844),x39544),x39543)),f775(f775(f173(f856(x39541,x39541),a844),f775(f775(f82(a850),x39542),x39544)),x39543))
% 184.29/184.08 [3986]E(f775(f775(f47(x39861,f857(f857(x39862,a844),a844)),x39863),f775(f775(f10(f857(x39862,a844),f857(f857(x39862,a844),a844),x39861),f301(x39862)),x39864)),f775(f301(x39862),f775(f775(f47(x39861,f857(x39862,a844)),x39863),x39864)))
% 184.29/184.08 [4016]E(f775(f775(f46(f857(x40161,a844),f857(x40162,a844)),x40163),f775(f775(f9(f857(x40161,a844),f857(x40161,f857(x40162,a844)),f857(x40162,a844)),f46(x40161,f857(x40162,a844))),x40164)),f775(f775(f46(x40161,f857(x40162,a844)),f44(f857(x40161,a844),x40163)),x40164))
% 184.29/184.08 [4017]E(f775(f775(f47(f857(x40171,a844),f857(x40172,a844)),x40173),f775(f775(f9(f857(x40171,a844),f857(x40171,f857(x40172,a844)),f857(x40172,a844)),f47(x40171,f857(x40172,a844))),x40174)),f775(f775(f47(x40171,f857(x40172,a844)),f44(f857(x40171,a844),x40173)),x40174))
% 184.29/184.08 [4022]E(f775(f775(f143(x40221,x40222),x40223),f775(f132(f851(x40221),f851(x40221),f125(x40221),f115(x40221)),x40224)),f775(f132(f851(x40222),f851(x40222),f125(x40222),f115(x40222)),f775(f775(f143(f851(x40221),f851(x40222)),f775(f143(x40221,x40222),x40223)),x40224)))
% 184.29/184.08 [4024]E(f175(f851(x40241),f115(x40241),f775(f775(f10(f851(x40241),f851(x40241),a850),f775(f140(x40241),x40242)),f775(f775(f9(a850,f851(x40241),f851(x40241)),f159(x40241)),x40243)),x40244),f775(f775(f159(x40241),x40244),f775(f775(f140(x40241),x40242),x40243)))
% 184.29/184.08 [4067]P1(f775(f775(f232(f857(x40671,a844)),f775(f303(x40672,x40671,x40673),f775(f305(x40672,x40671,x40673),x40674))),x40674))
% 184.29/184.08 [4069]E(f775(f303(f856(x40691,x40692),f856(x40692,x40691),f775(f251(x40691,x40692,f856(x40692,x40691)),f775(f9(x40692,x40691,f856(x40692,x40691)),f241(x40692,x40691)))),f775(f775(f248(x40691,x40692),x40693),f775(f18(f857(x40692,a844),x40691),x40694))),f775(f775(f248(x40692,x40691),x40694),f775(f18(f857(x40691,a844),x40692),x40693)))
% 184.29/184.08 [4078]E(f775(f775(f46(x40781,f857(x40782,a844)),x40783),f775(f775(f10(f857(x40781,a844),f857(x40782,a844),x40781),f277(x40781,x40782,x40784)),f775(f775(f9(x40781,f857(x40781,a844),f857(x40781,a844)),f302(x40781)),f180(f857(x40781,a844))))),f775(f277(x40781,x40782,x40784),x40783))
% 184.29/184.08 [4079]E(f775(f775(f46(x40791,f857(x40792,a844)),x40793),f775(f775(f10(f857(x40791,a844),f857(x40792,a844),x40791),f305(x40792,x40791,x40794)),f775(f775(f9(x40791,f857(x40791,a844),f857(x40791,a844)),f302(x40791)),f180(f857(x40791,a844))))),f775(f305(x40792,x40791,x40794),x40793))
% 184.29/184.08 [4170]E(f775(f775(f104(f857(x41701,a844)),f775(f775(f104(f857(x41701,a844)),f775(f775(f103(f857(x41701,a844)),x41702),x41703)),f775(f775(f103(f857(x41701,a844)),x41703),x41704))),f775(f775(f103(f857(x41701,a844)),x41704),x41702)),f775(f775(f103(f857(x41701,a844)),f775(f775(f103(f857(x41701,a844)),f775(f775(f104(f857(x41701,a844)),x41702),x41703)),f775(f775(f104(f857(x41701,a844)),x41703),x41704))),f775(f775(f104(f857(x41701,a844)),x41704),x41702)))
% 184.29/184.08 [4229]E(f775(f132(f851(x42291),f851(x42291),f125(x42291),f115(x42291)),f775(f775(f143(x42292,f851(x42291)),f775(f775(f9(x42292,f851(x42291),f851(x42291)),f775(f775(f10(x42291,f857(f851(x42291),f851(x42291)),x42292),f140(x42291)),x42293)),f115(x42291))),x42294)),f775(f775(f143(x42292,x42291),x42293),x42294))
% 184.29/184.08 [4239]E(f775(f775(f88(a1,x42391),f775(f106(a1),f775(f775(f82(a1),x42392),a99))),f775(f775(f20(a1,x42391,x42391),f775(f775(f9(a1,x42391,f857(x42391,x42391)),f775(f775(f10(a844,f857(x42391,f857(x42391,x42391)),a1),f98(x42391)),a186)),x42393)),f775(f775(f10(a850,x42391,a1),x42394),a107))),f175(x42391,x42393,x42394,f775(f106(a850),x42392)))
% 184.29/184.08 [4480]~P1(f775(f775(f180(f857(x44801,f857(x44802,a844))),x44803),x44804))
% 184.29/184.08 [3718]E(f775(f775(f153(x37181),f775(f775(f125(x37181),x37182),x37183)),f775(f775(f82(a850),f775(f181(f851(x37181)),x37182)),x37184)),f775(f775(f153(x37181),x37183),x37184))
% 184.29/184.08 [3723]E(f775(f775(f128(x37231),x37232),f775(f775(f159(x37231),f775(f775(f82(a850),x37233),x37232)),x37234)),f775(f775(f159(x37231),x37233),f775(f775(f128(x37231),x37232),x37234)))
% 184.29/184.08 [3821]E(f775(f775(f103(f857(x38211,a844)),f775(f259(x38212,x38211),x38213)),f775(f259(x38212,x38211),x38214)),f775(f259(x38212,x38211),f775(f775(f103(f857(f856(x38212,x38211),a844)),x38213),x38214)))
% 184.29/184.08 [3822]E(f775(f775(f103(f857(x38221,a844)),f775(f261(x38221,x38222),x38223)),f775(f261(x38221,x38222),x38224)),f775(f261(x38221,x38222),f775(f775(f103(f857(f856(x38221,x38222),a844)),x38223),x38224)))
% 184.29/184.08 [3827]E(f775(f775(f3(f857(x38271,a844)),f775(f775(f104(f857(x38271,a844)),x38272),x38273)),x38274),f775(f775(f104(f857(x38271,a844)),x38272),f775(f775(f3(f857(x38271,a844)),x38273),x38274)))
% 184.29/184.08 [3828]E(f775(f775(f103(f857(x38281,a844)),f775(f775(f103(f857(x38281,a844)),x38282),x38283)),x38284),f775(f775(f103(f857(x38281,a844)),x38282),f775(f775(f103(f857(x38281,a844)),x38283),x38284)))
% 184.29/184.08 [3829]E(f775(f775(f104(f857(x38291,a844)),f775(f775(f104(f857(x38291,a844)),x38292),x38293)),x38294),f775(f775(f104(f857(x38291,a844)),x38292),f775(f775(f104(f857(x38291,a844)),x38293),x38294)))
% 184.29/184.08 [3867]E(f775(f775(f103(f857(f856(x38671,x38672),a844)),f775(f278(x38672,x38671),x38673)),f775(f278(x38672,x38671),x38674)),f775(f278(x38672,x38671),f775(f775(f103(f857(f856(x38672,x38671),a844)),x38673),x38674)))
% 184.29/184.08 [3868]E(f775(f775(f104(f857(f856(x38681,x38682),a844)),f775(f278(x38682,x38681),x38683)),f775(f278(x38682,x38681),x38684)),f775(f278(x38682,x38681),f775(f775(f104(f857(f856(x38682,x38681),a844)),x38683),x38684)))
% 184.29/184.08 [3903]E(f170(x39031,x39032,x39033,f166(x39031,x39032,f775(f142(f856(x39031,x39032)),f775(f775(f167(x39031,x39032),f115(x39031)),x39034)))),x39033)
% 184.29/184.08 [3941]E(f775(f775(f103(f857(x39411,a844)),f775(f775(f3(f857(x39411,a844)),x39412),x39413)),f775(f775(f3(f857(x39411,a844)),x39414),x39413)),f775(f775(f3(f857(x39411,a844)),f775(f775(f103(f857(x39411,a844)),x39412),x39414)),x39413))
% 184.29/184.08 [3942]E(f775(f775(f104(f857(x39421,a844)),f775(f775(f103(f857(x39421,a844)),x39422),x39423)),f775(f775(f103(f857(x39421,a844)),x39424),x39423)),f775(f775(f103(f857(x39421,a844)),f775(f775(f104(f857(x39421,a844)),x39422),x39424)),x39423))
% 184.29/184.08 [3943]E(f775(f775(f3(f857(x39431,a844)),f775(f775(f104(f857(x39431,a844)),x39432),x39433)),f775(f775(f104(f857(x39431,a844)),x39434),x39433)),f775(f775(f104(f857(x39431,a844)),f775(f775(f3(f857(x39431,a844)),x39432),x39434)),x39433))
% 184.29/184.08 [3944]E(f775(f775(f103(f857(x39441,a844)),f775(f775(f104(f857(x39441,a844)),x39442),x39443)),f775(f775(f104(f857(x39441,a844)),x39444),x39443)),f775(f775(f104(f857(x39441,a844)),f775(f775(f103(f857(x39441,a844)),x39442),x39444)),x39443))
% 184.29/184.08 [3945]E(f775(f775(f3(f857(x39451,a844)),f775(f775(f104(f857(x39451,a844)),x39452),x39453)),f775(f775(f104(f857(x39451,a844)),x39454),x39453)),f775(f775(f3(f857(x39451,a844)),f775(f775(f104(f857(x39451,a844)),x39452),x39453)),x39454))
% 184.29/184.08 [3957]E(f775(f775(f3(f857(x39571,a844)),f775(f775(f3(f857(x39571,a844)),x39572),f775(f775(f302(x39571),x39573),f180(f857(x39571,a844))))),x39574),f775(f775(f3(f857(x39571,a844)),x39572),f775(f775(f302(x39571),x39573),x39574)))
% 184.29/184.08 [4013]E(f775(f775(f103(f857(x40131,a844)),f775(f775(f302(x40131),x40132),f775(f775(f302(x40131),x40133),f180(f857(x40131,a844))))),f775(f276(x40131),x40134)),f775(f276(x40131),f775(f775(f302(f856(x40131,x40131)),f775(f775(f241(x40131,x40131),x40132),x40133)),x40134)))
% 184.29/184.08 [4040]E(f775(f775(f46(a850,f857(x40401,a844)),f775(f293(a850),x40402)),f775(f775(f10(a850,f857(x40401,a844),a850),x40403),f775(f775(f9(a850,a850,a850),f82(a850)),x40404))),f775(f775(f46(a850,f857(x40401,a844)),f295(a850,x40404,f775(f775(f82(a850),x40402),x40404))),x40403))
% 184.29/184.08 [4041]E(f161(x40411,f775(f277(x40411,x40411,x40412),f775(f775(f302(x40411),x40413),f180(f857(x40411,a844)))),f775(f277(f851(x40411),f851(x40411),f147(x40411,x40412)),f775(f775(f302(f851(x40411)),x40414),f180(f857(f851(x40411),a844))))),f775(f277(f851(x40411),f851(x40411),f147(x40411,x40412)),f775(f775(f302(f851(x40411)),f775(f775(f140(x40411),x40413),x40414)),f180(f857(f851(x40411),a844)))))
% 184.29/184.08 [4104]E(f166(x41041,x41042,f775(f775(f143(x41041,f856(x41041,x41042)),f775(f775(f20(x41041,x41042,f856(x41041,x41042)),f241(x41041,x41042)),x41043)),x41044)),f172(x41041,x41042,f775(f75(x41042,f854(x41042),x41041,f227(x41042)),x41043),f775(f158(x41041),x41044)))
% 184.29/184.08 [4107]E(f775(f256(x41071),f775(f775(f9(x41071,f857(x41072,a844),a844),f775(f775(f10(x41072,f857(f857(x41072,a844),a844),x41071),f334(x41072)),x41073)),x41074)),f775(f305(x41071,x41072,x41073),x41074))
% 184.29/184.08 [4201]E(f775(f256(x42011),f775(f775(f9(x42011,f857(f856(x42012,x42011),a844),a844),f775(f775(f10(f856(x42012,x42011),f857(f857(f856(x42012,x42011),a844),a844),x42011),f334(f856(x42012,x42011))),f775(f241(x42012,x42011),x42013))),x42014)),f775(f277(x42012,x42011,x42014),f775(f775(f302(x42012),x42013),f180(f857(x42012,a844)))))
% 184.29/184.08 [4215]E(f775(f775(f143(f856(x42151,a850),x42151),f240(x42151,a850)),f775(f126(f856(x42151,a850),f775(f775(f10(a850,a844,f856(x42151,a850)),x42152),f775(f775(f10(a850,a850,f856(x42151,a850)),a114),f250(x42151,a850)))),f775(f775(f167(x42151,a850),x42153),x42154))),f775(f775(f143(f856(x42151,a850),x42151),f240(x42151,a850)),f775(f126(f856(x42151,a850),f775(f775(f10(a850,a844,f856(x42151,a850)),x42152),f250(x42151,a850))),f775(f775(f167(x42151,a850),x42153),f775(f775(f143(a850,a850),a114),x42154)))))
% 184.29/184.08 [4222]P1(f775(f775(f232(f857(f857(x42221,a844),a844)),f775(f775(f46(x42222,f857(f857(x42221,a844),a844)),x42223),f775(f775(f10(f857(x42221,a844),f857(f857(x42221,a844),a844),x42222),f301(x42221)),x42224))),f775(f301(x42221),f775(f775(f46(x42222,f857(x42221,a844)),x42223),x42224))))
% 184.29/184.08 [4262]E(f775(f775(f88(a1,x42621),f775(f106(a1),f775(f775(f82(a1),x42622),a99))),f775(f775(f20(a1,x42621,x42621),f775(f775(f9(a1,x42621,f857(x42621,x42621)),f775(f775(f10(a844,f857(x42621,f857(x42621,x42621)),a1),f98(x42621)),a186)),x42623)),f775(f775(f20(a1,x42621,x42621),f775(f775(f10(a850,f857(x42621,x42621),a1),x42624),a107)),f775(f775(f10(a850,x42621,a1),f174(x42621,x42623,x42624)),a107)))),f775(f174(x42621,x42623,x42624),f775(f106(a850),x42622)))
% 184.29/184.08 [4265]E(f775(f775(f143(x42651,x42652),f775(f75(f854(x42652),x42652,x42651,f231(x42652)),x42653)),f775(f126(x42651,f775(f775(f10(a844,a844,x42651),a328),f775(f775(f9(x42651,f854(x42652),a844),f775(f775(f10(f854(x42652),f857(f854(x42652),a844),x42651),a330),x42653)),f183(x42652)))),x42654)),f154(x42651,x42652,x42653,x42654))
% 184.29/184.08 [4286]E(f775(f256(f856(x42861,x42862)),f775(f251(x42861,x42862,a844),f775(f775(f9(x42861,f857(x42862,a844),f857(x42862,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x42862,a844),f857(x42862,a844)),x42861),f10(a844,a844,x42862)),f775(f775(f10(a844,f857(a844,a844),x42861),a331),f775(f775(f9(x42861,f857(x42861,a844),a844),f334(x42861)),x42863)))),f775(f775(f9(x42862,f857(x42862,a844),a844),f334(x42862)),x42864)))),f223(x42861,x42862,x42863,x42864))
% 184.29/184.08 [4319]E(f775(f775(f46(x43191,f857(f856(x43191,x43192),a844)),x43193),f775(f775(f20(x43191,f857(x43192,f857(f856(x43191,x43192),a844)),f857(f856(x43191,x43192),a844)),f775(f775(f10(f857(x43192,a844),f857(f857(x43192,f857(f856(x43191,x43192),a844)),f857(f856(x43191,x43192),a844)),x43191),f46(x43192,f857(f856(x43191,x43192),a844))),x43194)),f775(f775(f9(x43191,f857(f856(x43191,x43192),a844),f857(x43192,f857(f856(x43191,x43192),a844))),f775(f775(f10(f857(x43192,f857(f857(f856(x43191,x43192),a844),f857(f856(x43191,x43192),a844))),f857(f857(f856(x43191,x43192),a844),f857(x43192,f857(f856(x43191,x43192),a844))),x43191),f9(x43192,f857(f856(x43191,x43192),a844),f857(f856(x43191,x43192),a844))),f775(f775(f10(f857(x43192,f856(x43191,x43192)),f857(x43192,f857(f857(f856(x43191,x43192),a844),f857(f856(x43191,x43192),a844))),x43191),f775(f10(f856(x43191,x43192),f857(f857(f856(x43191,x43192),a844),f857(f856(x43191,x43192),a844)),x43192),f302(f856(x43191,x43192)))),f241(x43191,x43192)))),f180(f857(f856(x43191,x43192),a844))))),f775(f775(f248(x43191,x43192),x43193),x43194))
% 184.29/184.08 [3876]E(f775(f775(f125(x38761),f775(f775(f159(x38761),x38762),x38763)),f775(f775(f159(x38761),f775(f775(f3(a850),x38762),f775(f181(f851(x38761)),x38763))),x38764)),f775(f775(f159(x38761),x38762),f775(f775(f125(x38761),x38763),x38764)))
% 184.29/184.08 [3877]E(f775(f775(f125(x38771),f775(f775(f128(x38771),x38772),x38773)),f775(f775(f128(x38771),f775(f775(f3(a850),x38772),f775(f181(f851(x38771)),x38773))),x38774)),f775(f775(f128(x38771),x38772),f775(f775(f125(x38771),x38773),x38774)))
% 184.29/184.08 [3930]E(f775(f775(f82(a850),f775(f775(f83(a850),x39301),x39302)),f775(f775(f82(a850),f775(f775(f83(a850),x39303),x39302)),x39304)),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f82(a850),x39301),x39303)),x39302)),x39304))
% 184.29/184.08 [4135]P1(f775(f775(f232(f857(x41351,a844)),f775(f775(f3(f857(x41351,a844)),f775(f259(x41352,x41351),x41353)),f775(f259(x41352,x41351),x41354))),f775(f259(x41352,x41351),f775(f775(f3(f857(f856(x41352,x41351),a844)),x41353),x41354))))
% 184.29/184.08 [4136]P1(f775(f775(f232(f857(x41361,a844)),f775(f775(f3(f857(x41361,a844)),f775(f261(x41361,x41362),x41363)),f775(f261(x41361,x41362),x41364))),f775(f261(x41361,x41362),f775(f775(f3(f857(f856(x41361,x41362),a844)),x41363),x41364))))
% 184.29/184.08 [4241]E(f775(f775(f82(a1),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x42411),x42412)),f180(f857(f856(a850,a850),a844)))))),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x42413),x42414)),f180(f857(f856(a850,a850),a844)))))),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),f775(f775(f82(a850),x42411),x42413)),f775(f775(f82(a850),x42412),x42414))),f180(f857(f856(a850,a850),a844))))))
% 184.29/184.08 [4281]E(f775(f775(f83(a1),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x42811),x42812)),f180(f857(f856(a850,a850),a844)))))),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x42813),x42814)),f180(f857(f856(a850,a850),a844)))))),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),f775(f775(f82(a850),f775(f775(f83(a850),x42811),x42813)),f775(f775(f83(a850),x42812),x42814))),f775(f775(f82(a850),f775(f775(f83(a850),x42811),x42814)),f775(f775(f83(a850),x42812),x42813)))),f180(f857(f856(a850,a850),a844))))))
% 184.29/184.08 [4301]E(f775(f256(x43011),f775(f775(f10(f857(x43012,a844),a844,x43011),f90(x43012)),f775(f775(f10(f857(x43012,a844),f857(x43012,a844),x43011),f775(f20(x43012,a844,a844),f775(f775(f10(a844,f857(a844,a844),x43012),a335),f775(f775(f9(x43012,f857(x43012,a844),a844),f334(x43012)),x43013)))),f775(f775(f9(x43011,f857(x43012,f857(x43011,a844)),f857(x43012,a844)),f775(f775(f10(f857(f857(x43011,a844),a844),f857(f857(x43012,f857(x43011,a844)),f857(x43012,a844)),x43011),f10(f857(x43011,a844),a844,x43012)),f334(x43011))),x43014)))),f775(f775(f47(x43012,f857(x43011,a844)),x43013),x43014))
% 184.29/184.08 [4335]E(f775(f775(f281(x43351,x43351,x43351),f775(f775(f302(f856(x43351,x43351)),f775(f775(f241(x43351,x43351),x43352),x43353)),x43354)),f300(x43351,f775(f775(f302(f856(x43351,x43351)),f775(f775(f241(x43351,x43351),x43352),x43353)),x43354))),f775(f775(f103(f857(f856(x43351,x43351),a844)),f775(f775(f281(x43351,x43351,x43351),x43354),f300(x43351,x43354))),f775(f256(f856(x43351,x43351)),f775(f251(x43351,x43351,a844),f775(f775(f9(x43351,f857(x43351,a844),f857(x43351,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x43351,a844),f857(x43351,a844)),x43351),f10(a844,a844,x43351)),f775(f775(f10(a844,f857(a844,a844),x43351),a331),f775(f775(f9(x43351,f857(f856(x43351,x43351),a844),a844),f775(f775(f10(f856(x43351,x43351),f857(f857(f856(x43351,x43351),a844),a844),x43351),f334(f856(x43351,x43351))),f775(f775(f9(x43351,x43351,f856(x43351,x43351)),f241(x43351,x43351)),x43352))),f300(x43351,x43354))))),f775(f775(f9(x43351,f857(f856(x43351,x43351),a844),a844),f775(f775(f10(f856(x43351,x43351),f857(f857(f856(x43351,x43351),a844),a844),x43351),f334(f856(x43351,x43351))),f775(f241(x43351,x43351),x43353))),f300(x43351,x43354)))))))
% 184.29/184.08 [4137]E(f775(f126(x41371,f775(f775(f20(x41371,a844,a844),f775(f775(f10(a844,f857(a844,a844),x41371),a331),x41372)),x41373)),x41374),f775(f126(x41371,x41373),f775(f126(x41371,x41372),x41374)))
% 184.29/184.08 [4235]E(f775(f775(f125(x42351),f775(f775(f775(f98(f851(x42351)),f775(f775(f334(a850),f2(a850)),x42352)),f775(f775(f140(x42351),x42353),f115(x42351))),f115(x42351))),f160(x42351,x42354,f775(f256(a850),f775(f775(f9(a850,f857(a850,a844),a844),f775(f775(f10(a850,f857(f857(a850,a844),a844),a850),f334(a850)),a114)),x42352)))),f160(x42351,f775(f775(f140(x42351),x42353),x42354),x42352))
% 184.29/184.08 [4330]E(f775(f256(f856(x43301,x43302)),f775(f775(f10(f857(a850,a844),a844,f856(x43301,x43302)),f89(a850)),f775(f775(f9(f856(x43301,x43302),f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),f856(x43301,x43302)),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),f856(x43301,x43302)),f775(f10(a844,f857(a844,a844),a850),a331)),f775(f775(f9(f856(x43301,x43302),f857(a850,f856(x43301,x43302)),f857(a850,a844)),f775(f775(f10(f857(f856(x43301,x43302),a844),f857(f857(a850,f856(x43301,x43302)),f857(a850,a844)),f856(x43301,x43302)),f10(f856(x43301,x43302),a844,a850)),a330)),f775(f775(f20(a850,x43302,f856(x43301,x43302)),f775(f775(f10(x43301,f857(x43302,f856(x43301,x43302)),a850),f241(x43301,x43302)),f775(f153(x43301),x43303))),f775(f153(x43302),x43304)))))),f775(f775(f9(a850,a850,a844),f233(a850)),f775(f775(f236(a850),f775(f181(f851(x43301)),x43303)),f775(f181(f851(x43302)),x43304)))))),f775(f158(f856(x43301,x43302)),f775(f775(f167(x43301,x43302),x43303),x43304)))
% 184.29/184.08 [4254]E(f775(f256(f856(x42541,x42542)),f775(f251(x42541,x42542,a844),f775(f775(f9(x42541,f857(x42542,a844),f857(x42542,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x42542,a844),f857(x42542,a844)),x42541),f10(a844,a844,x42542)),f775(f775(f10(a844,f857(a844,a844),x42541),a331),x42543))),x42544))),f775(f775(f248(x42541,x42542),f775(f256(x42541),x42543)),f775(f18(f857(x42542,a844),x42541),f775(f256(x42542),x42544))))
% 184.29/184.08 [4257]E(f775(f256(f856(x42571,x42572)),f775(f251(x42571,x42572,a844),f775(f775(f20(x42571,f857(x42572,a844),f857(x42572,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x42572,a844),f857(x42572,a844)),x42571),f10(a844,a844,x42572)),f775(f775(f10(a844,f857(a844,a844),x42571),a331),x42573))),x42574))),f775(f775(f248(x42571,x42572),f775(f256(x42571),x42573)),f775(f775(f10(f857(x42572,a844),f857(x42572,a844),x42571),f256(x42572)),x42574)))
% 184.29/184.08 [4272]E(f775(f256(x42721),f775(f775(f10(f857(x42722,a844),a844,x42721),f90(x42722)),f775(f775(f10(f857(x42722,a844),f857(x42722,a844),x42721),f775(f20(x42722,a844,a844),f775(f775(f10(a844,f857(a844,a844),x42722),a335),f775(f775(f9(x42722,f857(x42722,a844),a844),f334(x42722)),x42723)))),x42724))),f775(f775(f47(x42722,f857(x42721,a844)),x42723),f775(f775(f10(f857(x42721,a844),f857(x42721,a844),x42722),f256(x42721)),f775(f9(x42721,x42722,a844),x42724))))
% 184.29/184.08 [4314]E(f775(f775(f143(f856(x43141,a850),x43141),f240(x43141,a850)),f775(f126(f856(x43141,a850),f775(f775(f9(f856(x43141,a850),f857(a850,a844),a844),f775(f775(f10(a850,f857(f857(a850,a844),a844),f856(x43141,a850)),f334(a850)),f250(x43141,a850))),x43142)),f775(f775(f167(x43141,a850),x43143),f130(a850,f775(f294(a850,x43144),f775(f775(f82(a850),x43144),f775(f181(f851(x43141)),x43143))))))),f775(f775(f143(f856(x43141,a850),x43141),f240(x43141,a850)),f775(f126(f856(x43141,a850),f775(f775(f9(f856(x43141,a850),f857(a850,a844),a844),f775(f775(f10(a850,f857(f857(a850,a844),a844),f856(x43141,a850)),f334(a850)),f775(f775(f9(f856(x43141,a850),a850,a850),f775(f775(f10(a850,f857(a850,a850),f856(x43141,a850)),f82(a850)),f250(x43141,a850))),x43144))),x43142)),f775(f775(f167(x43141,a850),x43143),f130(a850,f775(f294(a850,f2(a850)),f775(f181(f851(x43141)),x43143)))))))
% 184.29/184.08 [4315]E(f775(a114,f775(f775(f179(a850),f775(f181(f851(x43151)),x43152)),f775(f132(a850,f851(x43153),f775(f9(f851(x43153),a850,a850),f775(f775(f10(a850,f857(a850,a850),f851(x43153)),f179(a850)),f775(f775(f9(f851(x43153),a850,a850),f775(f775(f10(a850,f857(a850,a850),f851(x43153)),f3(a850)),f181(f851(x43153)))),f775(a114,f2(a850))))),f2(a850)),f775(f142(f851(x43153)),f775(f126(f851(x43153),f775(f775(f10(a844,a844,f851(x43153)),a328),f775(f775(f9(f851(x43153),f851(x43153),a844),a330),f115(x43153)))),x43154))))),f775(f775(f179(a850),f775(a114,f775(f181(f851(x43151)),x43152))),f775(f132(a850,f851(x43153),f775(f9(f851(x43153),a850,a850),f775(f775(f10(a850,f857(a850,a850),f851(x43153)),f179(a850)),f181(f851(x43153)))),f2(a850)),f775(f142(f851(x43153)),x43154))))
% 184.29/184.08 [4271]E(f775(f775(f125(x42711),f160(x42711,x42712,x42713)),f160(x42711,x42714,f775(f256(a850),f775(f775(f9(a850,f857(a850,a844),a844),f775(f775(f10(a850,f857(f857(a850,a844),a844),a850),f334(a850)),f775(f775(f9(a850,a850,a850),f82(a850)),f775(f181(f851(x42711)),x42712)))),x42713)))),f160(x42711,f775(f775(f125(x42711),x42712),x42714),x42713))
% 184.29/184.08 [4321]E(f775(f775(f140(f851(x43211)),f775(f775(f140(x43211),x43212),f775(f132(f851(x43211),f851(x43211),f125(x43211),f115(x43211)),f775(f775(f143(f851(x43211),f851(x43211)),f145(f851(x43211),x43211,f115(x43211),f775(f775(f10(f851(x43211),f857(f851(x43211),f851(x43211)),x43211),f18(f851(x43211),f851(x43211))),f775(f775(f9(x43211,f851(x43211),f851(x43211)),f140(x43211)),f115(x43211))))),x43213)))),f164(x43211,f775(f775(f140(f851(x43211)),x43214),f775(f132(f851(f851(x43211)),f851(f851(x43211)),f125(f851(x43211)),f115(f851(x43211))),f775(f775(f143(f851(x43211),f851(f851(x43211))),f145(f851(f851(x43211)),x43211,f115(f851(x43211)),f775(f18(f857(f851(x43211),f851(f851(x43211))),x43211),f775(f775(f9(f851(x43211),f851(f851(x43211)),f851(f851(x43211))),f140(f851(x43211))),f115(f851(x43211)))))),x43213))))),f164(x43211,f775(f775(f140(f851(x43211)),f775(f775(f140(x43211),x43212),x43214)),x43213)))
% 184.29/184.08 [4331]E(f775(f256(f856(x43311,x43311)),f775(f251(x43311,x43311,a844),f775(f775(f9(x43311,f857(f856(x43312,x43312),a844),f857(x43311,a844)),f775(f775(f10(f857(x43311,f857(f857(f856(x43312,x43312),a844),a844)),f857(f857(f856(x43312,x43312),a844),f857(x43311,a844)),x43311),f9(x43311,f857(f856(x43312,x43312),a844),a844)),f775(f775(f10(f857(x43311,f856(x43312,x43312)),f857(x43311,f857(f857(f856(x43312,x43312),a844),a844)),x43311),f775(f10(f856(x43312,x43312),f857(f857(f856(x43312,x43312),a844),a844),x43311),f334(f856(x43312,x43312)))),f775(f775(f9(x43311,f857(x43311,x43312),f857(x43311,f856(x43312,x43312))),f775(f775(f10(f857(x43312,f856(x43312,x43312)),f857(f857(x43311,x43312),f857(x43311,f856(x43312,x43312))),x43311),f10(x43312,f856(x43312,x43312),x43311)),f775(f775(f10(x43312,f857(x43312,f856(x43312,x43312)),x43311),f241(x43312,x43312)),x43313))),x43313)))),x43314))),f775(f775(f280(x43312,x43311),x43314),x43313))
% 184.29/184.08 [4415]~E(f35(x44151,x44152),f33(x44153,x44154,x44155))
% 184.29/184.08 [4416]~E(f35(x44161,x44162),f32(x44163,x44164,x44165))
% 184.29/184.08 [4417]~E(f35(x44171,x44172),f31(x44173,x44174,x44175))
% 184.29/184.08 [4418]~E(f36(x44181,x44182),f33(x44183,x44184,x44185))
% 184.29/184.08 [4419]~E(f36(x44191,x44192),f32(x44193,x44194,x44195))
% 184.29/184.08 [4420]~E(f36(x44201,x44202),f31(x44203,x44204,x44205))
% 184.29/184.08 [4421]~E(f28(x44211,x44212),f33(x44213,x44214,x44215))
% 184.29/184.08 [4422]~E(f28(x44221,x44222),f32(x44223,x44224,x44225))
% 184.29/184.08 [4423]~E(f28(x44231,x44232),f31(x44233,x44234,x44235))
% 184.29/184.08 [4424]~E(f33(x44241,x44242,x44243),f35(x44244,x44245))
% 184.29/184.08 [4425]~E(f33(x44251,x44252,x44253),f36(x44254,x44255))
% 184.29/184.08 [4426]~E(f33(x44261,x44262,x44263),f28(x44264,x44265))
% 184.29/184.08 [4427]~E(f32(x44271,x44272,x44273),f35(x44274,x44275))
% 184.29/184.08 [4428]~E(f32(x44281,x44282,x44283),f36(x44284,x44285))
% 184.29/184.08 [4429]~E(f32(x44291,x44292,x44293),f28(x44294,x44295))
% 184.29/184.08 [4430]~E(f31(x44301,x44302,x44303),f35(x44304,x44305))
% 184.29/184.08 [4431]~E(f31(x44311,x44312,x44313),f36(x44314,x44315))
% 184.29/184.08 [4432]~E(f31(x44321,x44322,x44323),f28(x44324,x44325))
% 184.29/184.08 [3819]E(f775(f170(x38191,x38192,x38193,x38194),x38195),f775(f229(f854(x38192),x38192,f775(x38193,x38195),f227(x38192)),f775(x38194,x38195)))
% 184.29/184.08 [3905]E(f170(x39051,x39052,f170(x39051,x39052,x39053,x39054),x39055),f170(x39051,x39052,x39053,f170(x39051,x39052,x39054,x39055)))
% 184.29/184.08 [3648]E(f775(f775(f251(x36481,x36482,x36483),x36484),x36485),f775(f775(x36484,f775(f240(x36481,x36482),x36485)),f775(f250(x36481,x36482),x36485)))
% 184.29/184.08 [3674]E(f775(f229(x36741,x36742,x36743,x36744),f775(f227(x36742),x36745)),f775(x36744,x36745))
% 184.29/184.08 [3682]E(f775(f775(f775(f67(x36821,x36822,x36823),x36824),x36825),f180(f857(x36822,a844))),x36825)
% 184.29/184.08 [3698]E(f775(f316(x36981,x36982,x36983,x36984),f775(f304(x36981,x36983),x36985)),f775(x36984,x36985))
% 184.29/184.08 [3699]E(f775(f317(x36991,x36992,x36993,x36994),f775(f313(x36991,x36993),x36995)),f775(x36994,x36995))
% 184.29/184.08 [3848]E(f230(x38481,x38482,x38483,x38484,f775(f227(x38482),x38485)),f775(x38484,x38485))
% 184.29/184.08 [3884]E(f318(x38841,x38842,x38843,x38844,f775(f304(x38841,x38842),x38845)),f775(f775(f82(a850),f775(x38843,x38845)),f775(a114,f2(a850))))
% 184.29/184.08 [3885]E(f318(x38851,x38852,x38853,x38854,f775(f313(x38852,x38851),x38855)),f775(f775(f82(a850),f775(x38854,x38855)),f775(a114,f2(a850))))
% 184.29/184.08 [3963]E(f775(f75(f854(x39631),f854(x39632),f854(x39633),f775(f196(x39631,x39632),x39634)),f775(f196(x39633,x39631),x39635)),f775(f196(x39633,x39632),f775(f75(x39631,x39632,x39633,x39634),x39635)))
% 184.29/184.08 [3965]E(f775(f75(f851(x39651),f851(x39652),f851(x39653),f775(f143(x39651,x39652),x39654)),f775(f143(x39653,x39651),x39655)),f775(f143(x39653,x39652),f775(f75(x39651,x39652,x39653,x39654),x39655)))
% 184.29/184.08 [4044]E(f87(x40441,f68(x40442,x40441,x40443,x40444,x40445)),f775(f775(f66(x40442,x40441,x40443),x40444),x40445))
% 184.29/184.08 [4080]E(f775(f775(f82(a850),f775(f775(f82(a850),f775(x40801,f775(f240(x40802,x40803),x40804))),f775(x40805,f775(f250(x40802,x40803),x40804)))),f775(a114,f2(a850))),f255(x40802,x40803,x40801,x40805,x40804))
% 184.29/184.08 [4267]E(f154(x42671,x42672,f775(f775(f9(x42671,f854(x42672),f854(x42672)),f775(f775(f20(x42671,f854(x42672),f857(f854(x42672),f854(x42672))),f775(f775(f10(a844,f857(f854(x42672),f857(f854(x42672),f854(x42672))),x42671),f98(f854(x42672))),x42673)),f775(f775(f10(x42672,f854(x42672),x42671),f227(x42672)),x42674))),f183(x42672)),x42675),f775(f775(f143(x42671,x42672),x42674),f775(f126(x42671,x42673),x42675)))
% 184.29/184.08 [4473]~E(f775(f775(f775(f74(x44731,f854(x44732)),x44733),x44734),f775(f227(x44732),x44735)),f775(f18(f854(x44732),x44731),f183(x44732)))
% 184.29/184.08 [3583]E(f775(f775(f159(x35831),x35832),f775(f775(f143(x35833,x35831),x35834),x35835)),f775(f775(f143(x35833,x35831),x35834),f775(f775(f159(x35833),x35832),x35835)))
% 184.29/184.08 [3584]E(f775(f775(f128(x35841),x35842),f775(f775(f143(x35843,x35841),x35844),x35845)),f775(f775(f143(x35843,x35841),x35844),f775(f775(f128(x35843),x35842),x35845)))
% 184.29/184.08 [3614]E(f775(f775(f143(x36141,x36142),x36143),f775(f775(f140(x36141),x36144),x36145)),f775(f775(f140(x36142),f775(x36143,x36144)),f775(f775(f143(x36141,x36142),x36143),x36145)))
% 184.29/184.08 [3678]E(f775(f303(x36781,x36782,x36783),f775(f775(f302(x36781),x36784),x36785)),f775(f775(f302(x36782),f775(x36783,x36784)),f775(f303(x36781,x36782,x36783),x36785)))
% 184.29/184.08 [3744]E(f775(f775(f167(x37441,x37442),f775(f775(f159(x37441),x37443),x37444)),f775(f775(f159(x37442),x37443),x37445)),f775(f775(f159(f856(x37441,x37442)),x37443),f775(f775(f167(x37441,x37442),x37444),x37445)))
% 184.29/184.08 [3745]E(f775(f775(f167(x37451,x37452),f775(f775(f128(x37451),x37453),x37454)),f775(f775(f128(x37452),x37453),x37455)),f775(f775(f128(f856(x37451,x37452)),x37453),f775(f775(f167(x37451,x37452),x37454),x37455)))
% 184.29/184.08 [3756]E(f775(f775(f148(x37561,f775(f775(f140(x37561),x37562),x37563)),f775(a114,x37564)),x37565),f775(f775(f140(x37561),x37562),f775(f775(f148(x37561,x37563),x37564),x37565)))
% 184.29/184.08 [3759]E(f775(f229(f854(x37591),x37592,f183(x37591),x37593),f775(f775(f18(f854(x37592),x37594),f183(x37592)),x37595)),f183(x37591))
% 184.29/184.08 [3761]E(f775(f775(f125(x37611),f775(f775(f143(x37612,x37611),x37613),x37614)),f775(f775(f143(x37612,x37611),x37613),x37615)),f775(f775(f143(x37612,x37611),x37613),f775(f775(f125(x37612),x37614),x37615)))
% 184.29/184.08 [3765]E(f775(f775(x37651,x37652),f775(f775(f243(x37653,x37654,x37651),x37652),x37655)),f775(f775(f243(x37653,x37654,x37651),x37652),f775(a114,x37655)))
% 184.29/184.08 [3806]E(f775(f775(f281(x38061,x38062,x38063),f775(f278(x38062,x38061),x38064)),f775(f278(x38063,x38062),x38065)),f775(f278(x38063,x38061),f775(f775(f281(x38063,x38062,x38061),x38065),x38064)))
% 184.29/184.08 [3837]E(f775(f775(f775(f173(f851(x38371),f851(x38371)),x38372),f141(x38371)),f775(f775(f143(x38373,x38371),x38374),x38375)),f775(f775(f143(x38373,x38371),x38374),f775(f775(f775(f173(f851(x38373),f851(x38373)),x38372),f141(x38373)),x38375)))
% 184.29/184.08 [3838]E(f775(f775(f253(x38381,x38382,x38381,x38383),f775(f241(x38382,x38381),x38384)),x38385),f775(x38385,x38384))
% 184.29/184.08 [3862]E(f144(x38621,x38622,f775(f775(f143(x38623,x38621),x38624),x38625)),f144(x38623,f775(f75(x38621,a850,x38623,x38622),x38624),x38625))
% 184.29/184.08 [3928]E(f775(f775(f75(f854(x39281),f854(x39282),x39283,f775(f196(x39281,x39282),x39284)),f775(f18(f854(x39281),x39283),f183(x39281))),x39285),f183(x39282))
% 184.29/184.08 [3929]E(f162(f856(x39291,x39292),f775(f75(x39292,a844,f856(x39291,x39292),x39293),f250(x39291,x39292)),f775(f775(f167(x39291,x39292),x39294),x39295)),f775(f775(f167(x39291,x39292),x39294),f162(x39292,x39293,x39295)))
% 184.29/184.08 [3934]E(f775(f303(x39341,x39342,f775(f775(f10(x39343,x39342,x39341),x39344),x39345)),f239(f857(x39341,a844))),f775(f303(x39343,x39342,x39344),f775(f303(x39341,x39343,x39345),f239(f857(x39341,a844)))))
% 184.29/184.08 [3948]E(f162(f856(x39481,x39482),f775(f75(x39481,a844,f856(x39481,x39482),x39483),f240(x39481,x39482)),f775(f775(f167(x39481,x39482),x39484),x39485)),f775(f775(f167(x39481,x39482),f162(x39481,x39483,x39484)),x39485))
% 184.29/184.08 [3969]E(f775(f775(f103(f857(x39691,a844)),f775(f305(x39691,x39692,x39693),f775(f775(f302(x39692),x39694),f180(f857(x39692,a844))))),f775(f305(x39691,x39692,x39693),x39695)),f775(f305(x39691,x39692,x39693),f775(f775(f302(x39692),x39694),x39695)))
% 184.29/184.08 [4029]E(f775(f775(f143(x40291,x40292),x40293),f162(x40291,f775(f75(x40292,a844,x40291,x40294),x40293),x40295)),f162(x40292,x40294,f775(f775(f143(x40291,x40292),x40293),x40295)))
% 184.29/184.08 [4036]E(f775(f132(x40361,x40362,f775(f9(x40362,x40361,x40361),f775(f9(x40361,x40362,x40361),x40363)),x40364),f775(f142(x40362),f775(f142(x40362),x40365))),f775(f132(x40361,x40362,x40363,x40364),x40365))
% 184.29/184.08 [4037]E(f775(f775(f775(f74(x40371,f854(x40372)),f172(x40371,x40372,x40373,x40374)),x40375),f775(x40373,x40375)),f172(x40371,x40372,x40373,f775(f775(f302(x40371),x40375),x40374)))
% 184.29/184.08 [4046]E(f775(f319(x40461,x40462,x40463,f775(f18(x40462,x40461),x40464),f775(f18(x40462,x40463),x40464)),x40465),x40464)
% 184.29/184.08 [4105]E(f775(f229(f851(x41051),x41051,f154(x41052,x41051,x41053,x41054),f775(f775(f9(x41051,f851(x41051),f851(x41051)),f140(x41051)),f154(x41052,x41051,x41053,x41054))),f775(x41053,x41055)),f154(x41052,x41051,x41053,f775(f775(f140(x41052),x41055),x41054)))
% 184.29/184.08 [4145]P1(f775(f775(f232(f857(x41451,a844)),f775(f303(x41452,x41451,x41453),f775(f775(f104(f857(x41452,a844)),x41454),x41455))),f775(f775(f104(f857(x41451,a844)),f775(f303(x41452,x41451,x41453),x41454)),f775(f303(x41452,x41451,x41453),x41455))))
% 184.29/184.08 [4146]P1(f775(f775(f232(f857(x41461,a844)),f775(f277(x41462,x41461,x41463),f775(f775(f104(f857(x41462,a844)),x41464),x41465))),f775(f775(f104(f857(x41461,a844)),f775(f277(x41462,x41461,x41463),x41464)),f775(f277(x41462,x41461,x41463),x41465))))
% 184.29/184.08 [4242]E(f775(f250(x42421,x42422),f775(f252(x42423,x42421,x42422,x42422,x42424,f39(x42422)),x42425)),f775(f250(x42423,x42422),x42425))
% 184.29/184.08 [4243]E(f775(f240(x42431,x42432),f775(f252(x42431,x42431,x42433,x42432,f39(x42431),x42434),x42435)),f775(f240(x42431,x42433),x42435))
% 184.29/184.08 [4325]P28(x43251,x43252,f775(f775(f302(f849(x43251)),f775(f775(f775(f93(x43251),f775(f775(f9(x43251,f857(a847,a847),f857(a847,a844)),f775(f775(f10(f857(a847,a844),f857(f857(a847,a847),f857(a847,a844)),x43251),f10(a847,a844,a847)),x43253)),f775(f775(f20(a847,a850,a847),f775(f775(f9(a847,a848,f857(a850,a847)),a189),x43254)),x43255))),f28(x43254,x43255)),x43253)),f180(f857(f849(x43251),a844))))
% 184.29/184.08 [4329]P28(x43291,x43292,f775(f775(f302(f849(x43291)),f775(f775(f775(f93(x43291),f775(f775(f9(x43291,f857(a847,a844),f857(a847,a844)),f775(f775(f10(f857(a847,f857(a844,a844)),f857(f857(a847,a844),f857(a847,a844)),x43291),f20(a847,a844,a844)),f775(f775(f10(f857(a847,a844),f857(a847,f857(a844,a844)),x43291),f775(f10(a844,f857(a844,a844),a847),a331)),x43293))),f775(f775(f10(a844,a844,a847),a328),x43294))),f35(x43294,x43295)),x43293)),f180(f857(f849(x43291),a844))))
% 184.29/184.08 [3431]E(f775(f775(f775(f775(f199(x34311),x34312),x34313),x34314),x34315),f185(x34311,x34312))
% 184.29/184.08 [3432]E(f775(f775(f775(f775(f203(x34321),x34322),x34323),x34324),x34325),f194(x34321,x34322))
% 184.29/184.08 [3476]E(f95(x34761,x34762,f775(f775(f775(f93(x34761),x34763),x34764),x34765)),f2(a850))
% 184.29/184.08 [3566]E(f775(f775(f775(f775(f74(x35661,x35662),x35663),x35664),x35665),x35664),x35665)
% 184.29/184.08 [3796]E(f775(f775(f46(x37961,f857(x37962,a844)),f775(f775(f302(x37961),x37963),x37964)),x37965),f775(f775(f103(f857(x37962,a844)),f775(x37965,x37963)),f775(f775(f46(x37961,f857(x37962,a844)),x37964),x37965)))
% 184.29/184.08 [3797]E(f775(f775(f47(x37971,f857(x37972,a844)),f775(f775(f302(x37971),x37973),x37974)),x37975),f775(f775(f104(f857(x37972,a844)),f775(x37975,x37973)),f775(f775(f47(x37971,f857(x37972,a844)),x37974),x37975)))
% 184.29/184.08 [3855]E(f775(f775(f103(f857(x38551,a844)),f775(f303(x38552,x38551,x38553),x38554)),f775(f303(x38552,x38551,x38553),x38555)),f775(f303(x38552,x38551,x38553),f775(f775(f103(f857(x38552,a844)),x38554),x38555)))
% 184.29/184.08 [3856]E(f775(f775(f103(f857(x38561,a844)),f775(f277(x38562,x38561,x38563),x38564)),f775(f277(x38562,x38561,x38563),x38565)),f775(f277(x38562,x38561,x38563),f775(f775(f103(f857(x38562,a844)),x38564),x38565)))
% 184.29/184.08 [3857]E(f775(f775(f3(f857(x38571,a844)),f775(f305(x38571,x38572,x38573),x38574)),f775(f305(x38571,x38572,x38573),x38575)),f775(f305(x38571,x38572,x38573),f775(f775(f3(f857(x38572,a844)),x38574),x38575)))
% 184.29/184.08 [3858]E(f775(f775(f103(f857(x38581,a844)),f775(f305(x38581,x38582,x38583),x38584)),f775(f305(x38581,x38582,x38583),x38585)),f775(f305(x38581,x38582,x38583),f775(f775(f103(f857(x38582,a844)),x38584),x38585)))
% 184.29/184.08 [3859]E(f775(f775(f104(f857(x38591,a844)),f775(f305(x38591,x38592,x38593),x38594)),f775(f305(x38591,x38592,x38593),x38595)),f775(f305(x38591,x38592,x38593),f775(f775(f104(f857(x38592,a844)),x38594),x38595)))
% 184.29/184.08 [3861]E(f172(x38611,x38612,f172(x38611,x38612,x38613,x38614),x38615),f172(x38611,x38612,x38613,f775(f775(f104(f857(x38611,a844)),x38614),x38615)))
% 184.29/184.08 [3863]E(f118(x38631,x38632,f775(x38633,x38634),f775(f775(f9(x38631,a101,f852(x38632)),x38635),x38634)),f775(f192(x38631,x38632,x38633,x38635),x38634))
% 184.29/184.08 [3924]E(f775(f775(f148(x39241,f775(f775(f125(x39241),x39242),f775(f775(f140(x39241),x39243),x39244))),f775(f181(f851(x39241)),x39242)),x39245),f775(f775(f125(x39241),x39242),f775(f775(f140(x39241),x39245),x39244)))
% 184.29/184.08 [3932]E(f775(f775(f47(x39321,f857(x39322,a844)),x39323),f775(f775(f10(f857(x39322,a844),f857(x39322,a844),x39321),f775(f302(x39322),x39324)),x39325)),f775(f775(f302(x39322),x39324),f775(f775(f47(x39321,f857(x39322,a844)),x39323),x39325)))
% 184.29/184.08 [4004]E(f172(x40041,x40042,f775(f775(f775(f74(x40041,f854(x40042)),x40043),x40044),f775(f227(x40042),x40045)),f775(f81(f857(x40041,a844)),f775(f775(f302(x40041),x40044),f180(f857(x40041,a844))))),f172(x40041,x40042,x40043,f775(f81(f857(x40041,a844)),f775(f775(f302(x40041),x40044),f180(f857(x40041,a844))))))
% 184.29/184.08 [4090]E(f775(f775(f143(x40901,x40902),x40903),f775(f126(x40901,f775(f75(x40902,a844,x40901,x40904),x40903)),x40905)),f775(f126(x40902,x40904),f775(f775(f143(x40901,x40902),x40903),x40905)))
% 184.29/184.08 [4097]E(f775(f181(f851(x40971)),f775(f126(x40971,x40972),f775(f775(f143(x40973,x40971),x40974),x40975))),f775(f181(f851(x40973)),f775(f126(x40973,f775(f75(x40971,a844,x40973,x40972),x40974)),x40975)))
% 184.29/184.08 [4234]E(f775(f775(f103(f857(x42341,a844)),f775(f775(f3(f857(x42341,a844)),f169(x42341,x42342,x42343)),f775(f256(x42341),f775(f775(f9(x42341,f857(x42341,a844),a844),f334(x42341)),f775(f775(f3(f857(x42341,a844)),x42344),f169(x42341,x42342,x42345)))))),f775(f256(x42341),f775(f775(f9(x42341,f857(x42341,a844),a844),f334(x42341)),f775(f775(f104(f857(x42341,a844)),x42344),f169(x42341,x42342,x42345))))),f169(x42341,x42342,f78(x42341,f854(x42342),x42343,x42345,x42344)))
% 184.29/184.08 [4306]E(f775(f145(f851(f856(x43061,x43062)),x43062,f115(f856(x43061,x43062)),f775(f775(f9(x43062,f857(f851(x43062),f851(f856(x43061,x43062))),f857(f851(x43062),f851(f856(x43061,x43062)))),f775(f775(f10(f857(f851(f856(x43061,x43062)),f851(f856(x43061,x43062))),f857(f857(f851(x43062),f851(f856(x43061,x43062))),f857(f851(x43062),f851(f856(x43061,x43062)))),x43062),f10(f851(f856(x43061,x43062)),f851(f856(x43061,x43062)),f851(x43062))),f775(f775(f10(f856(x43061,x43062),f857(f851(f856(x43061,x43062)),f851(f856(x43061,x43062))),x43062),f140(f856(x43061,x43062))),f775(f241(x43061,x43062),x43063)))),f775(f167(x43061,x43062),x43064))),x43065),f775(f775(f167(x43061,x43062),f775(f775(f140(x43061),x43063),x43064)),x43065))
% 184.29/184.08 [3791]E(f775(f775(f148(x37911,f775(f775(f148(x37911,x37912),x37913),x37914)),x37913),x37915),f775(f775(f148(x37911,x37912),x37913),x37915))
% 184.29/184.08 [3839]E(f775(f259(x38391,x38392),f775(f775(f302(f856(x38391,x38392)),f775(f775(f241(x38391,x38392),x38393),x38394)),x38395)),f775(f775(f302(x38392),x38394),f775(f259(x38391,x38392),x38395)))
% 184.29/184.08 [3840]E(f775(f261(x38401,x38402),f775(f775(f302(f856(x38401,x38402)),f775(f775(f241(x38401,x38402),x38403),x38404)),x38405)),f775(f775(f302(x38401),x38403),f775(f261(x38401,x38402),x38405)))
% 184.29/184.08 [3888]E(f121(x38881,x38882,f775(x38883,x38884),f775(f775(f9(x38881,a101,f852(f854(x38882))),x38885),x38884)),f775(f190(x38881,x38882,x38883,x38885),x38884))
% 184.29/184.08 [3917]E(f775(f775(f3(f857(f856(x39171,x39172),a844)),f775(f775(f248(x39171,x39172),x39173),x39174)),f775(f775(f248(x39171,x39172),x39175),x39174)),f775(f775(f248(x39171,x39172),f775(f775(f3(f857(x39171,a844)),x39173),x39175)),x39174))
% 184.29/184.08 [3918]E(f775(f775(f103(f857(f856(x39181,x39182),a844)),f775(f775(f248(x39181,x39182),x39183),x39184)),f775(f775(f248(x39181,x39182),x39185),x39184)),f775(f775(f248(x39181,x39182),f775(f775(f103(f857(x39181,a844)),x39183),x39185)),x39184))
% 184.29/184.08 [3919]E(f775(f775(f104(f857(f856(x39191,x39192),a844)),f775(f775(f248(x39191,x39192),x39193),x39194)),f775(f775(f248(x39191,x39192),x39195),x39194)),f775(f775(f248(x39191,x39192),f775(f775(f104(f857(x39191,a844)),x39193),x39195)),x39194))
% 184.29/184.08 [3982]E(f775(f775(f103(f857(x39821,a844)),f775(f775(f46(x39822,f857(x39821,a844)),x39823),x39824)),f775(f775(f46(x39822,f857(x39821,a844)),x39825),x39824)),f775(f775(f46(x39822,f857(x39821,a844)),f775(f775(f103(f857(x39822,a844)),x39823),x39825)),x39824))
% 184.29/184.08 [3983]E(f775(f775(f104(f857(x39831,a844)),f775(f775(f47(x39832,f857(x39831,a844)),x39833),x39834)),f775(f775(f47(x39832,f857(x39831,a844)),x39835),x39834)),f775(f775(f47(x39832,f857(x39831,a844)),f775(f775(f103(f857(x39832,a844)),x39833),x39835)),x39834))
% 184.29/184.08 [3997]E(f775(f775(f46(x39971,f857(x39972,a844)),x39973),f775(f775(f10(f857(x39972,a844),f857(x39972,a844),x39971),f775(f3(f857(x39972,a844)),x39974)),x39975)),f775(f775(f3(f857(x39972,a844)),x39974),f775(f775(f47(x39971,f857(x39972,a844)),x39973),x39975)))
% 184.29/184.08 [3998]E(f775(f775(f46(x39981,f857(x39982,a844)),x39983),f775(f775(f10(f857(x39982,a844),f857(x39982,a844),x39981),f775(f104(f857(x39982,a844)),x39984)),x39985)),f775(f775(f104(f857(x39982,a844)),x39984),f775(f775(f46(x39981,f857(x39982,a844)),x39983),x39985)))
% 184.29/184.08 [3999]E(f775(f775(f47(x39991,f857(x39992,a844)),x39993),f775(f775(f10(f857(x39992,a844),f857(x39992,a844),x39991),f775(f103(f857(x39992,a844)),x39994)),x39995)),f775(f775(f103(f857(x39992,a844)),x39994),f775(f775(f47(x39991,f857(x39992,a844)),x39993),x39995)))
% 184.29/184.08 [4058]E(f175(f851(x40581),f775(f775(f140(x40581),x40582),x40583),f775(f775(f10(f851(x40581),f851(x40581),a850),f775(f140(x40581),x40584)),f775(f775(f9(a850,x40581,f851(x40581)),f148(x40581,x40583)),x40582)),x40585),f775(f775(f148(x40581,f775(f775(f140(x40581),x40584),x40583)),x40585),x40582))
% 184.29/184.08 [4062]E(f775(f775(f46(x40621,f857(f856(x40622,x40623),a844)),x40624),f775(f775(f10(f857(f856(x40623,x40622),a844),f857(f856(x40622,x40623),a844),x40621),f278(x40623,x40622)),x40625)),f775(f278(x40623,x40622),f775(f775(f46(x40621,f857(f856(x40623,x40622),a844)),x40624),x40625)))
% 184.29/184.08 [4063]E(f775(f775(f47(x40631,f857(f856(x40632,x40633),a844)),x40634),f775(f775(f10(f857(f856(x40633,x40632),a844),f857(f856(x40632,x40633),a844),x40631),f278(x40633,x40632)),x40635)),f775(f278(x40633,x40632),f775(f775(f47(x40631,f857(f856(x40633,x40632),a844)),x40634),x40635)))
% 184.29/184.08 [4116]E(f169(x41161,x41162,f775(f775(f20(x41161,f854(x41163),f854(x41162)),f775(f775(f10(f857(x41163,x41162),f857(f854(x41163),f854(x41162)),x41161),f196(x41163,x41162)),x41164)),x41165)),f169(x41161,x41163,x41165))
% 184.29/184.08 [4169]P1(f775(f775(f232(f857(x41691,a844)),f775(f775(f3(f857(x41691,a844)),f775(f303(x41692,x41691,x41693),x41694)),f775(f303(x41692,x41691,x41693),x41695))),f775(f303(x41692,x41691,x41693),f775(f775(f3(f857(x41692,a844)),x41694),x41695))))
% 184.29/184.08 [4310]E(f775(f145(f851(f856(x43101,x43102)),x43101,f115(f856(x43101,x43102)),f775(f775(f9(x43101,f857(f851(x43101),f851(f856(x43101,x43102))),f857(f851(x43101),f851(f856(x43101,x43102)))),f775(f775(f10(f857(f851(f856(x43101,x43102)),f851(f856(x43101,x43102))),f857(f857(f851(x43101),f851(f856(x43101,x43102))),f857(f851(x43101),f851(f856(x43101,x43102)))),x43101),f10(f851(f856(x43101,x43102)),f851(f856(x43101,x43102)),f851(x43101))),f775(f775(f10(f856(x43101,x43102),f857(f851(f856(x43101,x43102)),f851(f856(x43101,x43102))),x43101),f140(f856(x43101,x43102))),f775(f775(f9(x43101,x43102,f856(x43101,x43102)),f241(x43101,x43102)),x43103)))),f775(f775(f9(f851(x43101),f851(x43102),f851(f856(x43101,x43102))),f167(x43101,x43102)),x43104))),x43105),f775(f775(f167(x43101,x43102),x43105),f775(f775(f140(x43102),x43103),x43104)))
% 184.29/184.08 [4327]E(f775(f132(f857(x43271,f854(x43272)),f856(x43271,x43272),f775(f775(f10(f857(x43271,f857(x43272,f857(x43271,f854(x43272)))),f857(f856(x43271,x43272),f857(x43271,f854(x43272))),f857(x43271,f854(x43272))),f251(x43271,x43272,f857(x43271,f854(x43272)))),f775(f775(f9(f857(x43271,f854(x43272)),f857(x43272,f854(x43272)),f857(x43271,f857(x43272,f857(x43271,f854(x43272))))),f775(f775(f10(f857(x43271,f857(f857(x43272,f854(x43272)),f857(x43272,f857(x43271,f854(x43272))))),f857(f857(x43272,f854(x43272)),f857(x43271,f857(x43272,f857(x43271,f854(x43272))))),f857(x43271,f854(x43272))),f9(x43271,f857(x43272,f854(x43272)),f857(x43272,f857(x43271,f854(x43272))))),f775(f775(f10(f857(x43271,f857(f854(x43272),f857(x43271,f854(x43272)))),f857(x43271,f857(f857(x43272,f854(x43272)),f857(x43272,f857(x43271,f854(x43272))))),f857(x43271,f854(x43272))),f775(f10(f857(f854(x43272),f857(x43271,f854(x43272))),f857(f857(x43272,f854(x43272)),f857(x43272,f857(x43271,f854(x43272)))),x43271),f10(f854(x43272),f857(x43271,f854(x43272)),x43272))),f74(x43271,f854(x43272))))),f227(x43272))),x43273),f775(f775(f167(x43271,x43272),x43274),x43275)),f170(x43271,x43272,x43273,f166(x43271,x43272,f775(f142(f856(x43271,x43272)),f775(f775(f167(x43271,x43272),x43274),x43275)))))
% 184.29/184.08 [4023]E(f775(f775(f103(f857(x40231,a844)),f775(f277(x40232,x40231,x40233),x40234)),f775(f277(x40232,x40231,x40235),x40234)),f775(f277(x40232,x40231,f775(f775(f103(f857(f856(x40232,x40231),a844)),x40233),x40235)),x40234))
% 184.29/184.08 [4065]E(f775(f775(f125(f856(x40651,x40652)),f775(f775(f167(x40651,x40652),x40653),f775(f775(f159(x40652),f775(f181(f851(x40651)),x40653)),x40654))),f775(f775(f167(x40651,x40652),x40655),f775(f775(f128(x40652),f775(f181(f851(x40651)),x40653)),x40654))),f775(f775(f167(x40651,x40652),f775(f775(f125(x40651),x40653),x40655)),x40654))
% 184.29/184.08 [4094]E(f169(x40941,x40942,f170(x40941,x40942,x40943,f166(x40941,x40942,f775(f142(f856(x40941,x40942)),f775(f775(f167(x40941,x40942),x40944),x40945))))),f775(f775(f103(f857(x40941,a844)),f775(f158(x40941),f775(f775(f159(x40941),f775(f181(f851(x40942)),x40945)),x40944))),f169(x40941,x40942,x40943)))
% 184.29/184.08 [4172]E(f775(f775(f248(x41721,x41722),x41723),f775(f775(f20(x41721,f857(x41722,a844),f857(x41722,a844)),f775(f775(f10(f857(x41722,a844),f857(f857(x41722,a844),f857(x41722,a844)),x41721),f3(f857(x41722,a844))),x41724)),x41725)),f775(f775(f3(f857(f856(x41721,x41722),a844)),f775(f775(f248(x41721,x41722),x41723),x41724)),f775(f775(f248(x41721,x41722),x41723),x41725)))
% 184.29/184.08 [4173]E(f775(f775(f248(x41731,x41732),x41733),f775(f775(f20(x41731,f857(x41732,a844),f857(x41732,a844)),f775(f775(f10(f857(x41732,a844),f857(f857(x41732,a844),f857(x41732,a844)),x41731),f103(f857(x41732,a844))),x41734)),x41735)),f775(f775(f103(f857(f856(x41731,x41732),a844)),f775(f775(f248(x41731,x41732),x41733),x41734)),f775(f775(f248(x41731,x41732),x41733),x41735)))
% 184.29/184.08 [4174]E(f775(f775(f248(x41741,x41742),x41743),f775(f775(f20(x41741,f857(x41742,a844),f857(x41742,a844)),f775(f775(f10(f857(x41742,a844),f857(f857(x41742,a844),f857(x41742,a844)),x41741),f104(f857(x41742,a844))),x41744)),x41745)),f775(f775(f104(f857(f856(x41741,x41742),a844)),f775(f775(f248(x41741,x41742),x41743),x41744)),f775(f775(f248(x41741,x41742),x41743),x41745)))
% 184.29/184.08 [4178]E(f775(f775(f46(x41781,f857(x41782,a844)),x41783),f775(f775(f9(x41781,f857(x41782,a844),f857(x41782,a844)),f775(f775(f10(f857(x41782,a844),f857(f857(x41782,a844),f857(x41782,a844)),x41781),f3(f857(x41782,a844))),x41784)),x41785)),f775(f775(f3(f857(x41782,a844)),f775(f775(f46(x41781,f857(x41782,a844)),x41783),x41784)),x41785))
% 184.29/184.08 [4179]E(f775(f775(f46(x41791,f857(x41792,a844)),x41793),f775(f775(f9(x41791,f857(x41792,a844),f857(x41792,a844)),f775(f775(f10(f857(x41792,a844),f857(f857(x41792,a844),f857(x41792,a844)),x41791),f104(f857(x41792,a844))),x41794)),x41795)),f775(f775(f104(f857(x41792,a844)),f775(f775(f46(x41791,f857(x41792,a844)),x41793),x41794)),x41795))
% 184.29/184.08 [4180]E(f775(f775(f47(x41801,f857(x41802,a844)),x41803),f775(f775(f9(x41801,f857(x41802,a844),f857(x41802,a844)),f775(f775(f10(f857(x41802,a844),f857(f857(x41802,a844),f857(x41802,a844)),x41801),f103(f857(x41802,a844))),x41804)),x41805)),f775(f775(f103(f857(x41802,a844)),f775(f775(f47(x41801,f857(x41802,a844)),x41803),x41804)),x41805))
% 184.29/184.08 [4184]E(f775(f775(f46(x41841,f857(x41842,a844)),x41843),f775(f775(f20(x41841,f857(x41842,a844),f857(x41842,a844)),f775(f775(f10(f857(x41842,a844),f857(f857(x41842,a844),f857(x41842,a844)),x41841),f103(f857(x41842,a844))),x41844)),x41845)),f775(f775(f103(f857(x41842,a844)),f775(f775(f46(x41841,f857(x41842,a844)),x41843),x41844)),f775(f775(f46(x41841,f857(x41842,a844)),x41843),x41845)))
% 184.29/184.08 [4185]E(f775(f775(f47(x41851,f857(x41852,a844)),x41853),f775(f775(f20(x41851,f857(x41852,a844),f857(x41852,a844)),f775(f775(f10(f857(x41852,a844),f857(f857(x41852,a844),f857(x41852,a844)),x41851),f104(f857(x41852,a844))),x41854)),x41855)),f775(f775(f104(f857(x41852,a844)),f775(f775(f47(x41851,f857(x41852,a844)),x41853),x41854)),f775(f775(f47(x41851,f857(x41852,a844)),x41853),x41855)))
% 184.29/184.08 [4197]E(f775(f775(f46(x41971,f857(x41972,a844)),x41973),f775(f775(f20(x41971,f857(x41972,a844),f857(x41972,a844)),f775(f775(f10(f857(x41972,a844),f857(f857(x41972,a844),f857(x41972,a844)),x41971),f103(f857(x41972,a844))),x41974)),x41975)),f775(f775(f103(f857(x41972,a844)),f44(f857(x41972,a844),f775(f303(x41971,f857(x41972,a844),x41974),x41973))),f44(f857(x41972,a844),f775(f303(x41971,f857(x41972,a844),x41975),x41973))))
% 184.29/184.08 [4198]E(f775(f775(f47(x41981,f857(x41982,a844)),x41983),f775(f775(f20(x41981,f857(x41982,a844),f857(x41982,a844)),f775(f775(f10(f857(x41982,a844),f857(f857(x41982,a844),f857(x41982,a844)),x41981),f104(f857(x41982,a844))),x41984)),x41985)),f775(f775(f104(f857(x41982,a844)),f45(f857(x41982,a844),f775(f303(x41981,f857(x41982,a844),x41984),x41983))),f45(f857(x41982,a844),f775(f303(x41981,f857(x41982,a844),x41985),x41983))))
% 184.29/184.08 [4106]E(f775(f775(f125(f856(x41061,x41062)),f775(f775(f167(x41061,x41062),f775(f775(f159(x41061),f775(f181(f851(x41062)),x41063)),x41064)),x41063)),f775(f775(f167(x41061,x41062),f775(f775(f128(x41061),f775(f181(f851(x41062)),x41063)),x41064)),x41065)),f775(f775(f167(x41061,x41062),x41064),f775(f775(f125(x41062),x41063),x41065)))
% 184.29/184.08 [4223]E(f87(x42231,f775(f775(f20(x42231,a844,a844),f775(f775(f10(a844,f857(a844,a844),x42231),a331),f775(f775(f9(x42231,f857(x42231,a844),a844),f334(x42231)),x42232))),f775(f775(f9(x42231,x42233,a844),f775(f775(f10(x42233,f857(x42233,a844),x42231),a330),x42234)),x42235))),f775(f79(x42231,x42233,x42232,x42234),x42235))
% 184.29/184.08 [4273]E(f775(f775(f88(a1,x42731),f775(f106(a1),f775(f775(f82(a1),x42732),a99))),f775(f775(f20(a1,x42731,x42731),f775(f775(f9(a1,x42731,f857(x42731,x42731)),f775(f775(f10(a844,f857(x42731,f857(x42731,x42731)),a1),f98(x42731)),a186)),f175(x42731,x42733,x42734,x42735))),f775(f775(f10(a850,x42731,a1),x42734),f775(f775(f9(a1,a850,a850),f775(f775(f10(a850,f857(a850,a850),a1),f82(a850)),a107)),x42735)))),f175(x42731,x42733,x42734,f775(f775(f82(a850),f775(f106(a850),x42732)),x42735)))
% 184.29/184.08 [4307]E(f166(x43071,x43072,f775(f775(f143(f856(x43071,x43073),f856(x43071,x43072)),f775(f251(x43071,x43073,f856(x43071,x43072)),f775(f775(f9(x43071,f857(x43073,x43072),f857(x43073,f856(x43071,x43072))),f775(f775(f10(f857(x43072,f856(x43071,x43072)),f857(f857(x43073,x43072),f857(x43073,f856(x43071,x43072))),x43071),f10(x43072,f856(x43071,x43072),x43073)),f241(x43071,x43072))),x43074))),x43075)),f775(f75(f854(x43073),f854(x43072),x43071,f775(f196(x43073,x43072),x43074)),f166(x43071,x43073,x43075)))
% 184.29/184.08 [4266]E(f169(x42661,x42662,f775(f775(f20(x42661,f854(x42662),f854(x42662)),f775(f775(f20(x42661,f854(x42662),f857(f854(x42662),f854(x42662))),f775(f775(f10(a844,f857(f854(x42662),f857(f854(x42662),f854(x42662))),x42661),f98(f854(x42662))),x42663)),x42664)),x42665)),f775(f775(f103(f857(x42661,a844)),f775(f775(f104(f857(x42661,a844)),f169(x42661,x42662,x42664)),f775(f256(x42661),x42663))),f775(f775(f104(f857(x42661,a844)),f169(x42661,x42662,x42665)),f775(f256(x42661),f775(f775(f10(a844,a844,x42661),a328),x42663)))))
% 184.29/184.08 [4305]E(f775(f775(f88(a1,x43051),f775(f106(a1),f775(f775(f82(a1),x43052),a99))),f775(f775(f20(a1,x43051,x43051),f775(f775(f9(a1,x43051,f857(x43051,x43051)),f775(f775(f10(a844,f857(x43051,f857(x43051,x43051)),a1),f98(x43051)),a186)),f775(f174(x43051,x43053,x43054),x43055))),f775(f775(f20(a1,x43051,x43051),f775(f775(f10(a850,f857(x43051,x43051),a1),x43054),f775(f775(f9(a1,a850,a850),f775(f775(f10(a850,f857(a850,a850),a1),f82(a850)),a107)),x43055))),f775(f775(f10(a850,x43051,a1),f174(x43051,x43053,x43054)),f775(f775(f9(a1,a850,a850),f775(f775(f10(a850,f857(a850,a850),a1),f82(a850)),a107)),x43055))))),f775(f174(x43051,x43053,x43054),f775(f775(f82(a850),f775(f106(a850),x43052)),x43055)))
% 184.29/184.08 [4354]E(f775(f256(f856(x43541,x43542)),f775(f251(x43541,x43542,a844),f775(f775(f10(f857(x43542,f857(x43543,a844)),f857(x43542,a844),x43541),f775(f10(f857(x43543,a844),a844,x43542),f89(x43543))),f775(f775(f9(x43541,f857(x43542,f857(x43543,a844)),f857(x43542,f857(x43543,a844))),f775(f775(f10(f857(f857(x43543,a844),f857(x43543,a844)),f857(f857(x43542,f857(x43543,a844)),f857(x43542,f857(x43543,a844))),x43541),f10(f857(x43543,a844),f857(x43543,a844),x43542)),f775(f775(f10(f857(x43543,f857(a844,a844)),f857(f857(x43543,a844),f857(x43543,a844)),x43541),f20(x43543,a844,a844)),f775(f775(f10(f857(x43543,a844),f857(x43543,f857(a844,a844)),x43541),f775(f10(a844,f857(a844,a844),x43543),a331)),f775(f775(f9(x43541,f857(f856(x43541,x43543),a844),f857(x43543,a844)),f775(f775(f10(f857(x43543,f857(f857(f856(x43541,x43543),a844),a844)),f857(f857(f856(x43541,x43543),a844),f857(x43543,a844)),x43541),f9(x43543,f857(f856(x43541,x43543),a844),a844)),f775(f775(f10(f857(x43543,f856(x43541,x43543)),f857(x43543,f857(f857(f856(x43541,x43543),a844),a844)),x43541),f775(f10(f856(x43541,x43543),f857(f857(f856(x43541,x43543),a844),a844),x43543),f334(f856(x43541,x43543)))),f241(x43541,x43543)))),x43544))))),f775(f775(f9(x43542,f857(f856(x43543,x43542),a844),f857(x43543,a844)),f775(f775(f10(f857(x43543,f857(f857(f856(x43543,x43542),a844),a844)),f857(f857(f856(x43543,x43542),a844),f857(x43543,a844)),x43542),f9(x43543,f857(f856(x43543,x43542),a844),a844)),f775(f775(f10(f857(x43543,f856(x43543,x43542)),f857(x43543,f857(f857(f856(x43543,x43542),a844),a844)),x43542),f775(f10(f856(x43543,x43542),f857(f857(f856(x43543,x43542),a844),a844),x43543),f334(f856(x43543,x43542)))),f775(f9(x43543,x43542,f856(x43543,x43542)),f241(x43543,x43542))))),x43545))))),f775(f775(f281(x43541,x43543,x43542),x43544),x43545))
% 184.29/184.08 [4455]~E(f32(x44551,x44552,x44553),f33(x44554,x44555,x44556))
% 184.29/184.08 [4458]~E(f31(x44581,x44582,x44583),f33(x44584,x44585,x44586))
% 184.29/184.08 [4459]~E(f31(x44591,x44592,x44593),f32(x44594,x44595,x44596))
% 184.29/184.08 [3949]E(f218(x39491,x39492,x39493,x39494,f215(x39491,x39492,x39495,x39496)),f775(f775(x39494,x39495),x39496))
% 184.29/184.08 [3950]E(f219(x39501,x39502,x39503,x39504,f215(x39501,x39502,x39505,x39506)),f775(f775(x39504,x39505),x39506))
% 184.29/184.08 [4213]E(f775(f75(f856(x42131,x42132),x42132,f856(x42133,x42134),f250(x42131,x42132)),f252(x42133,x42131,x42134,x42132,x42135,x42136)),f775(f75(x42134,x42132,f856(x42133,x42134),x42136),f250(x42133,x42134)))
% 184.29/184.08 [4214]E(f775(f75(f856(x42141,x42142),x42141,f856(x42143,x42144),f240(x42141,x42142)),f252(x42143,x42141,x42144,x42142,x42145,x42146)),f775(f75(x42143,x42141,f856(x42143,x42144),x42145),f240(x42143,x42144)))
% 184.29/184.08 [3815]E(f775(f775(f75(x38151,x38152,x38153,x38154),x38155),x38156),f775(x38154,f775(x38155,x38156)))
% 184.29/184.08 [4012]E(f220(x40121,x40122,x40123,x40124,f215(x40121,x40122,x40125,x40126)),f775(f775(f82(a850),f775(f775(f82(a850),f775(x40123,x40125)),f775(x40124,x40126))),f775(a114,f2(a850))))
% 184.29/184.08 [4034]E(f775(f319(x40341,x40342,x40343,x40344,x40345),f775(f304(x40341,x40343),x40346)),f775(x40344,x40346))
% 184.29/184.08 [4035]E(f775(f319(x40351,x40352,x40353,x40354,x40355),f775(f313(x40353,x40351),x40356)),f775(x40355,x40356))
% 184.29/184.08 [4130]E(f320(x41301,x41302,x41303,x41304,x41305,f775(f304(x41301,x41303),x41306)),f775(x41304,x41306))
% 184.29/184.08 [4131]E(f320(x41311,x41312,x41313,x41314,x41315,f775(f313(x41313,x41311),x41316)),f775(x41315,x41316))
% 184.29/184.08 [3612]E(f775(f775(f251(x36121,x36122,x36123),x36124),f775(f775(f241(x36121,x36122),x36125),x36126)),f775(f775(x36124,x36125),x36126))
% 184.29/184.08 [3675]E(f775(f775(f775(f10(x36751,x36752,x36753),x36754),x36755),x36756),f775(x36754,f775(x36755,x36756)))
% 184.29/184.08 [3676]E(f775(f775(f775(f9(x36761,x36762,x36763),x36764),x36765),x36766),f775(f775(x36764,x36766),x36765))
% 184.29/184.08 [3692]E(f775(f775(f775(f20(x36921,x36922,x36923),x36924),x36925),x36926),f775(f775(x36924,x36926),f775(x36925,x36926)))
% 184.29/184.08 [3716]E(f775(f145(x37161,x37162,x37163,x37164),f775(f775(f140(x37162),x37165),x37166)),f775(f775(x37164,x37165),x37166))
% 184.29/184.08 [3818]E(f775(f775(f140(f856(x38181,x38182)),f775(f775(f241(x38181,x38182),x38183),x38184)),f775(f775(f167(x38181,x38182),x38185),x38186)),f775(f775(f167(x38181,x38182),f775(f775(f140(x38181),x38183),x38185)),f775(f775(f140(x38182),x38184),x38186)))
% 184.29/184.08 [3820]E(f775(f775(f143(x38201,x38202),x38203),f775(f775(f148(x38201,x38204),x38205),x38206)),f775(f775(f148(x38202,f775(f775(f143(x38201,x38202),x38203),x38204)),x38205),f775(x38203,x38206)))
% 184.29/184.08 [3843]E(f775(f775(f249(x38431,x38432,x38433,x38434),x38435),x38436),f775(x38434,f775(f775(f241(x38431,x38432),x38435),x38436)))
% 184.29/184.08 [3860]E(f775(f132(x38601,x38602,x38603,x38604),f775(f775(f140(x38602),x38605),x38606)),f775(f132(x38601,x38602,x38603,f775(f775(x38603,x38604),x38605)),x38606))
% 184.29/184.08 [3889]E(f254(x38891,x38892,x38893,x38894,f775(f775(f241(x38891,x38892),x38895),x38896)),f775(f775(x38894,x38895),x38896))
% 184.29/184.08 [3975]E(f775(f775(f46(x39751,f857(x39752,a844)),x39753),f775(f75(x39754,f857(x39752,a844),x39751,x39755),x39756)),f775(f775(f46(x39754,f857(x39752,a844)),f775(f303(x39751,x39754,x39756),x39753)),x39755))
% 184.29/184.08 [4026]E(f775(f775(f143(x40261,x40262),x40263),f775(f775(f143(x40264,x40261),x40265),x40266)),f775(f775(f143(x40264,x40262),f775(f75(x40261,x40262,x40264,x40263),x40265)),x40266))
% 184.29/184.08 [4028]E(f775(f775(f196(x40281,x40282),x40283),f775(f775(f196(x40284,x40281),x40285),x40286)),f775(f775(f196(x40284,x40282),f775(f75(x40281,x40282,x40284,x40283),x40285)),x40286))
% 184.29/184.08 [4032]E(f775(f303(x40321,x40322,f775(f75(x40323,x40322,x40321,x40324),x40325)),x40326),f775(f303(x40323,x40322,x40324),f775(f303(x40321,x40323,x40325),x40326)))
% 184.29/184.08 [4033]E(f775(f305(x40331,x40332,f775(f75(x40333,x40332,x40331,x40334),x40335)),x40336),f775(f305(x40331,x40333,x40335),f775(f305(x40333,x40332,x40334),x40336)))
% 184.29/184.08 [4064]E(f170(x40641,x40642,x40643,f775(f775(f775(f74(x40641,f854(x40642)),x40644),x40645),f775(f227(x40642),x40646))),f775(f775(f775(f74(x40641,f854(x40642)),f170(x40641,x40642,x40643,x40644)),x40645),f775(f227(x40642),x40646)))
% 184.29/184.08 [4066]E(f775(f132(x40661,x40662,x40663,f775(f132(x40661,x40662,x40663,x40664),x40665)),x40666),f775(f132(x40661,x40662,x40663,x40664),f775(f775(f125(x40662),x40665),x40666)))
% 184.29/184.08 [4203]E(f775(f252(x42031,x42031,x42032,x42033,f39(x42031),x42034),f775(f775(f241(x42031,x42032),x42035),x42036)),f775(f775(f241(x42031,x42033),x42035),f775(x42034,x42036)))
% 184.29/184.08 [4204]E(f775(f252(x42041,x42042,x42043,x42043,x42044,f39(x42043)),f775(f775(f241(x42041,x42043),x42045),x42046)),f775(f775(f241(x42042,x42043),f775(x42044,x42045)),x42046))
% 184.29/184.08 [4289]E(f775(f775(f143(f856(x42891,x42892),f856(x42891,x42893)),f775(f251(x42891,x42892,f856(x42891,x42893)),f775(f775(f9(x42891,f857(x42892,x42893),f857(x42892,f856(x42891,x42893))),f775(f775(f10(f857(x42893,f856(x42891,x42893)),f857(f857(x42892,x42893),f857(x42892,f856(x42891,x42893))),x42891),f10(x42893,f856(x42891,x42893),x42892)),f241(x42891,x42893))),x42894))),f775(f775(f167(x42891,x42892),x42895),x42896)),f775(f775(f167(x42891,x42893),x42895),f775(f775(f143(x42892,x42893),x42894),x42896)))
% 184.29/184.08 [3680]E(f96(x36801,x36802,x36803,f775(f775(f775(f93(x36801),x36804),x36805),x36806)),f775(f775(f775(x36803,x36804),x36805),x36806))
% 184.29/184.08 [3681]E(f97(x36811,x36812,x36813,f775(f775(f775(f93(x36811),x36814),x36815),x36816)),f775(f775(f775(x36813,x36814),x36815),x36816))
% 184.29/184.08 [3871]E(f775(f775(f75(x38711,x38712,x38713,f775(f18(x38712,x38711),x38714)),x38715),x38716),x38714)
% 184.29/184.08 [3907]E(f775(f303(x39071,x39072,x39073),f775(f303(x39074,x39071,x39075),x39076)),f775(f303(x39074,x39072,f775(f775(f10(x39071,x39072,x39074),x39073),x39075)),x39076))
% 184.29/184.08 [3913]E(f775(f775(f46(x39131,f857(x39132,a844)),f775(f303(x39133,x39131,x39134),x39135)),x39136),f775(f775(f46(x39133,f857(x39132,a844)),x39135),f775(f775(f10(x39131,f857(x39132,a844),x39133),x39136),x39134)))
% 184.29/184.08 [3914]E(f775(f775(f47(x39141,f857(x39142,a844)),f775(f303(x39143,x39141,x39144),x39145)),x39146),f775(f775(f47(x39143,f857(x39142,a844)),x39145),f775(f775(f10(x39141,f857(x39142,a844),x39143),x39146),x39144)))
% 184.29/184.08 [3915]E(f775(f775(f46(x39151,f857(x39152,a844)),x39153),f775(f775(f10(x39154,f857(x39152,a844),x39151),x39155),x39156)),f775(f775(f46(x39154,f857(x39152,a844)),f775(f303(x39151,x39154,x39156),x39153)),x39155))
% 184.29/184.08 [3916]E(f775(f775(f47(x39161,f857(x39162,a844)),x39163),f775(f775(f10(x39164,f857(x39162,a844),x39161),x39165),x39166)),f775(f775(f47(x39164,f857(x39162,a844)),f775(f303(x39161,x39164,x39166),x39163)),x39165))
% 184.29/184.08 [3977]E(f775(f775(f46(x39771,f857(x39772,a844)),x39773),f775(f775(f10(f857(x39774,a844),f857(x39772,a844),x39771),f303(x39774,x39772,x39775)),x39776)),f775(f303(x39774,x39772,x39775),f775(f775(f46(x39771,f857(x39774,a844)),x39773),x39776)))
% 184.29/184.08 [3978]E(f775(f775(f46(x39781,f857(x39782,a844)),x39783),f775(f775(f10(f857(x39784,a844),f857(x39782,a844),x39781),f277(x39784,x39782,x39785)),x39786)),f775(f277(x39784,x39782,x39785),f775(f775(f46(x39781,f857(x39784,a844)),x39783),x39786)))
% 184.29/184.08 [3979]E(f775(f775(f46(x39791,f857(x39792,a844)),x39793),f775(f775(f10(f857(x39794,a844),f857(x39792,a844),x39791),f305(x39792,x39794,x39795)),x39796)),f775(f305(x39792,x39794,x39795),f775(f775(f46(x39791,f857(x39794,a844)),x39793),x39796)))
% 184.29/184.08 [3980]E(f775(f775(f47(x39801,f857(x39802,a844)),x39803),f775(f775(f10(f857(x39804,a844),f857(x39802,a844),x39801),f305(x39802,x39804,x39805)),x39806)),f775(f305(x39802,x39804,x39805),f775(f775(f47(x39801,f857(x39804,a844)),x39803),x39806)))
% 184.29/184.08 [4071]E(f775(f132(x40711,x40712,f775(f9(x40712,x40711,x40711),x40713),x40714),f775(f142(x40712),f775(f775(f140(x40712),x40715),x40716))),f775(f775(x40713,x40715),f775(f132(x40711,x40712,f775(f9(x40712,x40711,x40711),x40713),x40714),f775(f142(x40712),x40716))))
% 184.29/184.08 [4132]E(f775(f775(f20(f856(x41321,x41322),x41322,x41323),f775(f775(f10(x41324,f857(x41322,x41323),f856(x41321,x41322)),x41325),f775(f775(f10(x41321,x41324,f856(x41321,x41322)),x41326),f240(x41321,x41322)))),f250(x41321,x41322)),f775(f251(x41321,x41322,x41323),f775(f775(f10(x41324,f857(x41322,x41323),x41321),x41325),x41326)))
% 184.29/184.08 [4139]E(f775(f132(x41391,x41392,f775(f9(x41392,x41391,x41391),x41393),f775(f132(x41391,x41392,f775(f9(x41392,x41391,x41391),x41393),x41394),f775(f142(x41392),x41395))),f775(f142(x41392),x41396)),f775(f132(x41391,x41392,f775(f9(x41392,x41391,x41391),x41393),x41394),f775(f142(x41392),f775(f775(f125(x41392),x41396),x41395))))
% 184.29/184.08 [4141]E(f775(f775(f143(f856(x41411,x41412),f856(x41413,x41412)),f775(f251(x41411,x41412,f856(x41413,x41412)),f775(f775(f10(x41413,f857(x41412,f856(x41413,x41412)),x41411),f241(x41413,x41412)),x41414))),f775(f775(f167(x41411,x41412),x41415),x41416)),f775(f775(f167(x41413,x41412),f775(f775(f143(x41411,x41413),x41414),x41415)),x41416))
% 184.29/184.08 [4187]P1(f775(f775(f232(f857(x41871,a844)),f775(f277(x41872,x41871,x41873),f775(f775(f47(x41874,f857(x41872,a844)),x41875),x41876))),f775(f775(f47(x41874,f857(x41871,a844)),x41875),f775(f775(f10(f857(x41872,a844),f857(x41871,a844),x41874),f277(x41872,x41871,x41873)),x41876))))
% 184.29/184.08 [3990]E(f775(f775(f167(x39901,x39902),f775(f775(f148(x39901,x39903),x39904),f775(f240(x39901,x39902),x39905))),f775(f775(f148(x39902,x39906),x39904),f775(f250(x39901,x39902),x39905))),f775(f775(f148(f856(x39901,x39902),f775(f775(f167(x39901,x39902),x39903),x39906)),x39904),x39905))
% 184.29/184.08 [4053]E(f775(f775(f103(f857(f856(x40531,x40532),a844)),f775(f775(f281(x40531,x40533,x40532),x40534),x40535)),f775(f775(f281(x40531,x40533,x40532),x40534),x40536)),f775(f775(f281(x40531,x40533,x40532),x40534),f775(f775(f103(f857(f856(x40533,x40532),a844)),x40535),x40536)))
% 184.29/184.08 [4153]E(f775(f775(f302(f856(x41531,x41532)),f775(f775(f241(x41531,x41532),x41533),x41534)),f775(f775(f103(f857(f856(x41531,x41532),a844)),f775(f775(f248(x41531,x41532),x41535),f775(f18(f857(x41532,a844),x41531),f775(f775(f302(x41532),x41534),x41536)))),f775(f775(f248(x41531,x41532),f775(f775(f302(x41531),x41533),x41535)),f775(f18(f857(x41532,a844),x41531),x41536)))),f775(f775(f248(x41531,x41532),f775(f775(f302(x41531),x41533),x41535)),f775(f18(f857(x41532,a844),x41531),f775(f775(f302(x41532),x41534),x41536))))
% 184.29/184.08 [4226]E(f775(f775(f104(f857(x42261,a844)),f775(f305(x42261,x42262,f775(f75(f856(x42262,x42263),x42262,x42261,f240(x42262,x42263)),x42264)),x42265)),f775(f305(x42261,x42263,f775(f75(f856(x42262,x42263),x42263,x42261,f250(x42262,x42263)),x42264)),x42266)),f775(f305(x42261,f856(x42262,x42263),x42264),f775(f775(f248(x42262,x42263),x42265),f775(f18(f857(x42263,a844),x42262),x42266))))
% 184.29/184.08 [3974]E(f775(f775(f775(f74(x39741,x39742),f775(f775(f775(f74(x39741,x39742),x39743),x39744),x39745)),x39744),x39746),f775(f775(f775(f74(x39741,x39742),x39743),x39744),x39746))
% 184.29/184.08 [4077]E(f775(f775(f103(f857(f856(x40771,x40772),a844)),f775(f775(f281(x40771,x40773,x40772),x40774),x40775)),f775(f775(f281(x40771,x40773,x40772),x40776),x40775)),f775(f775(f281(x40771,x40773,x40772),f775(f775(f103(f857(f856(x40771,x40773),a844)),x40774),x40776)),x40775))
% 184.29/184.08 [4211]E(f775(f775(f46(x42111,f857(x42112,a844)),x42113),f775(f775(f9(x42111,f857(x42114,f857(x42112,a844)),f857(x42112,a844)),f775(f775(f10(f857(x42114,a844),f857(f857(x42114,f857(x42112,a844)),f857(x42112,a844)),x42111),f46(x42114,f857(x42112,a844))),x42115)),x42116)),f775(f775(f46(x42114,f857(x42112,a844)),f775(f775(f46(x42111,f857(x42114,a844)),x42113),x42115)),x42116))
% 184.29/184.08 [4212]E(f775(f775(f47(x42121,f857(x42122,a844)),x42123),f775(f775(f9(x42121,f857(x42124,f857(x42122,a844)),f857(x42122,a844)),f775(f775(f10(f857(x42124,a844),f857(f857(x42124,f857(x42122,a844)),f857(x42122,a844)),x42121),f47(x42124,f857(x42122,a844))),x42125)),x42126)),f775(f775(f47(x42124,f857(x42122,a844)),f775(f775(f46(x42121,f857(x42124,a844)),x42123),x42125)),x42126))
% 184.29/184.08 [4261]E(f775(f251(x42611,x42612,f856(x42613,x42614)),f775(f775(f9(x42611,f857(x42612,x42614),f857(x42612,f856(x42613,x42614))),f775(f775(f10(f857(x42614,f856(x42613,x42614)),f857(f857(x42612,x42614),f857(x42612,f856(x42613,x42614))),x42611),f10(x42614,f856(x42613,x42614),x42612)),f775(f775(f10(x42613,f857(x42614,f856(x42613,x42614)),x42611),f241(x42613,x42614)),x42615))),x42616)),f252(x42611,x42613,x42612,x42614,x42615,x42616))
% 184.29/184.08 [4186]E(f775(f775(f775(f74(x41861,f854(x41862)),f172(x41861,x41862,x41863,f775(f775(f3(f857(x41861,a844)),x41864),f775(f775(f302(x41861),x41865),f180(f857(x41861,a844)))))),x41865),x41866),f775(f775(f775(f74(x41861,f854(x41862)),f172(x41861,x41862,x41863,x41864)),x41865),x41866))
% 184.29/184.08 [4284]E(f775(f303(x42841,x42842,f775(f775(f20(x42841,x42842,x42842),f775(f775(f20(x42841,x42842,f857(x42842,x42842)),f775(f775(f10(a844,f857(x42842,f857(x42842,x42842)),x42841),f98(x42842)),x42843)),x42844)),x42845)),x42846),f775(f775(f103(f857(x42842,a844)),f775(f303(x42841,x42842,x42844),f775(f775(f104(f857(x42841,a844)),x42846),f775(f256(x42841),x42843)))),f775(f303(x42841,x42842,x42845),f775(f775(f104(f857(x42841,a844)),x42846),f775(f256(x42841),f775(f775(f10(a844,a844,x42841),a328),x42843))))))
% 184.29/184.08 [4295]E(f775(f303(x42951,f856(x42952,x42953),f775(f775(f20(x42951,x42953,f856(x42952,x42953)),f775(f775(f10(x42952,f857(x42953,f856(x42952,x42953)),x42951),f241(x42952,x42953)),x42954)),x42955)),x42956),f775(f775(f248(x42952,x42953),f775(f303(x42951,x42952,x42954),x42956)),f775(f775(f10(f857(x42951,a844),f857(x42953,a844),x42952),f303(x42951,x42953,x42955)),f775(f775(f9(x42952,f857(x42951,a844),f857(x42951,a844)),f775(f775(f10(f857(x42951,a844),f857(f857(x42951,a844),f857(x42951,a844)),x42952),f104(f857(x42951,a844))),f775(f775(f10(f857(x42952,a844),f857(x42951,a844),x42952),f305(x42951,x42952,x42954)),f775(f775(f9(x42952,f857(x42952,a844),f857(x42952,a844)),f302(x42952)),f180(f857(x42952,a844)))))),x42956))))
% 184.29/184.08 [4244]E(f775(f250(x42441,x42442),f775(f252(x42443,x42441,x42444,x42442,x42445,x42446),x42447)),f775(x42446,f775(f250(x42443,x42444),x42447)))
% 184.29/184.08 [4245]E(f775(f240(x42451,x42452),f775(f252(x42453,x42451,x42454,x42452,x42455,x42456),x42457)),f775(x42455,f775(f240(x42453,x42454),x42457)))
% 184.29/184.08 [3951]E(f775(f775(f167(x39511,x39512),f775(f775(f148(x39511,x39513),x39514),x39515)),f775(f775(f148(x39512,x39516),x39514),x39517)),f775(f775(f148(f856(x39511,x39512),f775(f775(f167(x39511,x39512),x39513),x39516)),x39514),f775(f775(f241(x39511,x39512),x39515),x39517)))
% 184.29/184.08 [4021]E(f775(f775(f775(f253(x40211,x40212,x40213,x40214),x40215),x40216),x40217),f775(f775(f251(x40212,x40213,x40214),x40216),f775(x40215,x40217)))
% 184.29/184.08 [4031]E(f775(f775(f775(f253(x40311,x40312,x40313,x40314),x40315),x40316),x40317),f775(f775(x40316,f775(f240(x40312,x40313),f775(x40315,x40317))),f775(f250(x40312,x40313),f775(x40315,x40317))))
% 184.29/184.08 [4084]E(f775(f75(x40841,x40842,x40843,x40844),f775(f75(x40845,x40841,x40843,x40846),x40847)),f775(f75(x40845,x40842,x40843,f775(f75(x40841,x40842,x40845,x40844),x40846)),x40847))
% 184.29/184.08 [4148]E(f775(f75(f854(x41481),f854(x41482),x41483,f775(f196(x41481,x41482),x41484)),f775(f775(f775(f74(x41483,f854(x41481)),x41485),x41486),f775(f227(x41481),x41487))),f775(f775(f775(f74(x41483,f854(x41482)),f775(f75(f854(x41481),f854(x41482),x41483,f775(f196(x41481,x41482),x41484)),x41485)),x41486),f775(f227(x41482),f775(x41484,x41487))))
% 184.29/184.08 [4268]E(f775(f252(x42681,x42682,x42683,x42683,x42684,f39(x42683)),f775(f252(x42681,x42681,x42685,x42683,f39(x42681),x42686),x42687)),f775(f775(f241(x42682,x42683),f775(x42684,f775(f240(x42681,x42685),x42687))),f775(x42686,f775(f250(x42681,x42685),x42687))))
% 184.29/184.08 [4269]E(f775(f252(x42691,x42691,x42692,x42693,f39(x42691),x42694),f775(f252(x42695,x42691,x42692,x42692,x42696,f39(x42692)),x42697)),f775(f775(f241(x42691,x42693),f775(x42696,f775(f240(x42695,x42692),x42697))),f775(x42694,f775(f250(x42695,x42692),x42697))))
% 184.29/184.08 [4282]E(f775(f252(x42821,x42822,x42823,x42823,x42824,f39(x42823)),f775(f252(x42825,x42821,x42823,x42823,x42826,f39(x42823)),x42827)),f775(f252(x42825,x42822,x42823,x42823,f775(f75(x42821,x42822,x42825,x42824),x42826),f39(x42823)),x42827))
% 184.29/184.08 [4283]E(f775(f252(x42831,x42831,x42832,x42833,f39(x42831),x42834),f775(f252(x42831,x42831,x42835,x42832,f39(x42831),x42836),x42837)),f775(f252(x42831,x42831,x42835,x42833,f39(x42831),f775(f75(x42832,x42833,x42835,x42834),x42836)),x42837))
% 184.29/184.08 [4292]E(f775(f252(x42921,x42922,x42923,x42923,x42924,f39(x42923)),f775(f252(x42921,x42921,x42925,x42923,f39(x42921),x42926),x42927)),f775(f252(x42922,x42922,x42925,x42923,f39(x42922),x42926),f775(f252(x42921,x42922,x42925,x42925,x42924,f39(x42925)),x42927)))
% 184.29/184.08 [3987]E(f775(f775(f281(x39871,x39872,x39873),f775(f775(f281(x39871,x39874,x39872),x39875),x39876)),x39877),f775(f775(f281(x39871,x39874,x39873),x39875),f775(f775(f281(x39874,x39872,x39873),x39876),x39877)))
% 184.29/184.08 [4059]E(f775(f775(f251(x40591,x40592,x40593),f775(f75(x40594,f857(x40592,x40593),x40591,x40595),x40596)),x40597),f775(f775(x40595,f775(x40596,f775(f240(x40591,x40592),x40597))),f775(f250(x40591,x40592),x40597)))
% 184.29/184.08 [4109]E(f775(f75(x41091,x41092,x41093,x41094),f775(f775(f775(f74(x41093,x41091),x41095),x41096),x41097)),f775(f775(f775(f74(x41093,x41092),f775(f75(x41091,x41092,x41093,x41094),x41095)),x41096),f775(x41094,x41097)))
% 184.29/184.08 [4144]E(f775(f132(x41441,x41442,f775(f9(x41442,x41441,x41441),x41443),x41444),f775(f142(x41442),f775(f775(f143(x41445,x41442),x41446),x41447))),f775(f132(x41441,x41445,f775(f9(x41445,x41441,x41441),f775(f75(x41442,f857(x41441,x41441),x41445,x41443),x41446)),x41444),f775(f142(x41445),x41447)))
% 184.29/184.08 [4149]E(f319(x41491,f854(x41492),x41493,f775(f75(f854(x41494),f854(x41492),x41491,f775(f196(x41494,x41492),x41495)),x41496),f775(f75(f854(x41494),f854(x41492),x41493,f775(f196(x41494,x41492),x41495)),x41497)),f775(f75(f854(x41494),f854(x41492),f858(x41491,x41493),f775(f196(x41494,x41492),x41495)),f319(x41491,f854(x41494),x41493,x41496,x41497)))
% 184.29/184.08 [4085]E(f775(f775(f46(x40851,f857(f856(x40852,x40853),a844)),x40854),f775(f775(f10(f857(f856(x40855,x40853),a844),f857(f856(x40852,x40853),a844),x40851),f775(f281(x40852,x40855,x40853),x40856)),x40857)),f775(f775(f281(x40852,x40855,x40853),x40856),f775(f775(f46(x40851,f857(f856(x40855,x40853),a844)),x40854),x40857)))
% 184.29/184.08 [4120]E(f170(x41201,x41202,f775(f775(f775(f74(x41201,f854(x41202)),x41203),x41204),f775(f227(x41202),x41205)),f166(x41201,x41202,f775(f142(f856(x41201,x41202)),f775(f775(f167(x41201,x41202),x41206),x41207)))),f170(x41201,x41202,x41203,f166(x41201,x41202,f775(f142(f856(x41201,x41202)),f775(f775(f167(x41201,x41202),f775(f775(f140(x41201),x41204),x41206)),f775(f775(f140(x41202),x41205),x41207))))))
% 184.29/184.08 [4231]E(f775(f775(f46(x42311,f857(f856(x42312,x42313),a844)),x42314),f775(f775(f9(x42311,f857(f856(x42315,x42313),a844),f857(f856(x42312,x42313),a844)),f775(f775(f10(f857(f856(x42312,x42315),a844),f857(f857(f856(x42315,x42313),a844),f857(f856(x42312,x42313),a844)),x42311),f281(x42312,x42315,x42313)),x42316)),x42317)),f775(f775(f281(x42312,x42315,x42313),f775(f775(f46(x42311,f857(f856(x42312,x42315),a844)),x42314),x42316)),x42317))
% 184.29/184.08 [4232]E(f775(f132(x42321,x42322,f775(f775(f9(x42321,f857(x42322,x42323),f857(x42322,x42321)),f775(f775(f10(f857(x42323,x42321),f857(f857(x42322,x42323),f857(x42322,x42321)),x42321),f10(x42323,x42321,x42322)),x42324)),x42325),x42326),x42327),f775(f132(x42321,x42323,x42324,x42326),f775(f775(f143(x42322,x42323),x42325),x42327)))
% 184.29/184.08 [4293]E(f775(f775(f47(x42931,f857(x42932,a844)),x42933),f775(f775(f10(f857(x42934,f857(x42932,a844)),f857(x42932,a844),x42931),f775(f47(x42934,f857(x42932,a844)),x42935)),f775(f775(f9(x42931,f857(x42934,f857(x42932,a844)),f857(x42934,f857(x42932,a844))),f775(f775(f10(f857(f857(x42932,a844),f857(x42932,a844)),f857(f857(x42934,f857(x42932,a844)),f857(x42934,f857(x42932,a844))),x42931),f10(f857(x42932,a844),f857(x42932,a844),x42934)),f775(f775(f10(f857(x42932,a844),f857(f857(x42932,a844),f857(x42932,a844)),x42931),f103(f857(x42932,a844))),x42936))),x42937))),f775(f775(f103(f857(x42932,a844)),f775(f775(f47(x42931,f857(x42932,a844)),x42933),x42936)),f775(f775(f47(x42934,f857(x42932,a844)),x42935),x42937)))
% 184.29/184.08 [4294]E(f775(f775(f46(x42941,f857(x42942,a844)),x42943),f775(f775(f10(f857(x42944,f857(x42942,a844)),f857(x42942,a844),x42941),f775(f46(x42944,f857(x42942,a844)),x42945)),f775(f775(f9(x42941,f857(x42944,f857(x42942,a844)),f857(x42944,f857(x42942,a844))),f775(f775(f10(f857(f857(x42942,a844),f857(x42942,a844)),f857(f857(x42944,f857(x42942,a844)),f857(x42944,f857(x42942,a844))),x42941),f10(f857(x42942,a844),f857(x42942,a844),x42944)),f775(f775(f10(f857(x42942,a844),f857(f857(x42942,a844),f857(x42942,a844)),x42941),f104(f857(x42942,a844))),x42946))),x42947))),f775(f775(f104(f857(x42942,a844)),f775(f775(f46(x42941,f857(x42942,a844)),x42943),x42946)),f775(f775(f46(x42944,f857(x42942,a844)),x42945),x42947)))
% 184.29/184.08 [4287]E(f192(x42871,x42872,f775(f775(f775(x42873,x42874),x42875),x42876),f775(f775(f9(x42871,f856(a101,a101),f857(a101,f852(x42872))),f775(f775(f9(x42871,a101,f857(f856(a101,a101),f857(a101,f852(x42872)))),f775(f775(f9(x42871,a101,f857(a101,f857(f856(a101,a101),f857(a101,f852(x42872))))),x42877),x42874)),x42875)),x42876)),f775(f775(f775(f204(x42871,x42872,x42873,x42877),x42874),x42875),x42876))
% 184.29/184.08 [4300]E(f193(x43001,x43002,f775(f775(f775(x43003,x43004),x43005),x43006),f775(f775(f9(x43001,f856(a101,a101),f857(a101,f852(x43002))),f775(f775(f9(x43001,a101,f857(f856(a101,a101),f857(a101,f852(x43002)))),f775(f775(f9(x43001,a101,f857(a101,f857(f856(a101,a101),f857(a101,f852(x43002))))),x43007),x43004)),x43005)),x43006)),f206(x43001,x43002,x43003,x43007,x43004,x43005,x43006))
% 184.29/184.08 [4291]E(f190(x42911,x42912,f775(f775(f775(x42913,x42914),x42915),x42916),f775(f775(f9(x42911,f856(a101,a101),f857(a101,f852(f854(x42912)))),f775(f775(f9(x42911,a101,f857(f856(a101,a101),f857(a101,f852(f854(x42912))))),f775(f775(f9(x42911,a101,f857(a101,f857(f856(a101,a101),f857(a101,f852(f854(x42912)))))),x42917),x42914)),x42915)),x42916)),f775(f775(f775(f200(x42911,x42912,x42913,x42917),x42914),x42915),x42916))
% 184.29/184.08 [4302]E(f191(x43021,x43022,f775(f775(f775(x43023,x43024),x43025),x43026),f775(f775(f9(x43021,f856(a101,a101),f857(a101,f852(f854(x43022)))),f775(f775(f9(x43021,a101,f857(f856(a101,a101),f857(a101,f852(f854(x43022))))),f775(f775(f9(x43021,a101,f857(a101,f857(f856(a101,a101),f857(a101,f852(f854(x43022)))))),x43027),x43024)),x43025)),x43026)),f202(x43021,x43022,x43023,x43027,x43024,x43025,x43026))
% 184.29/184.08 [4205]E(f775(f252(x42051,x42052,x42053,x42054,x42055,x42056),f775(f775(f241(x42051,x42053),x42057),x42058)),f775(f775(f241(x42052,x42054),f775(x42055,x42057)),f775(x42056,x42058)))
% 184.29/184.08 [4304]E(f775(f775(f143(f856(x43041,x43042),f856(x43043,x43044)),f775(f251(x43041,x43042,f856(x43043,x43044)),f775(f775(f9(x43041,f857(x43042,x43044),f857(x43042,f856(x43043,x43044))),f775(f775(f10(f857(x43044,f856(x43043,x43044)),f857(f857(x43042,x43044),f857(x43042,f856(x43043,x43044))),x43041),f10(x43044,f856(x43043,x43044),x43042)),f775(f775(f10(x43043,f857(x43044,f856(x43043,x43044)),x43041),f241(x43043,x43044)),x43045))),x43046))),f775(f775(f167(x43041,x43042),x43047),x43048)),f775(f775(f167(x43043,x43044),f775(f775(f143(x43041,x43043),x43045),x43047)),f775(f775(f143(x43042,x43044),x43046),x43048)))
% 184.29/184.08 [4308]E(f775(f775(f143(f856(x43081,x43082),x43083),f775(f251(x43081,x43082,x43083),f775(f775(f10(f857(x43082,f856(x43081,x43084)),f857(x43082,x43083),x43081),f775(f10(f856(x43081,x43084),x43083,x43082),x43085)),f775(f775(f9(x43081,f857(x43082,x43084),f857(x43082,f856(x43081,x43084))),f775(f775(f10(f857(x43084,f856(x43081,x43084)),f857(f857(x43082,x43084),f857(x43082,f856(x43081,x43084))),x43081),f10(x43084,f856(x43081,x43084),x43082)),f241(x43081,x43084))),x43086)))),f775(f775(f167(x43081,x43082),x43087),x43088)),f775(f775(f143(f856(x43081,x43084),x43083),x43085),f775(f775(f167(x43081,x43084),x43087),f775(f775(f143(x43082,x43084),x43086),x43088))))
% 184.29/184.08 [4236]E(f775(f775(f143(f856(x42361,x42362),x42363),f775(f251(x42361,x42362,x42363),f775(f775(f10(f857(x42362,f856(x42364,x42362)),f857(x42362,x42363),x42361),f775(f10(f856(x42364,x42362),x42363,x42362),x42365)),f775(f775(f10(x42364,f857(x42362,f856(x42364,x42362)),x42361),f241(x42364,x42362)),x42366)))),f775(f775(f167(x42361,x42362),x42367),x42368)),f775(f775(f143(f856(x42364,x42362),x42363),x42365),f775(f775(f167(x42364,x42362),f775(f775(f143(x42361,x42364),x42366),x42367)),x42368)))
% 184.29/184.08 [4196]E(f775(f775(f251(x41961,x41962,x41963),f775(f775(f10(f857(x41962,f856(x41964,x41965)),f857(x41962,x41963),x41961),f775(f10(f856(x41964,x41965),x41963,x41962),f775(f251(x41964,x41965,x41963),x41966))),x41967)),x41968),f775(f775(f251(x41964,x41965,x41963),x41966),f775(f775(f251(x41961,x41962,f856(x41964,x41965)),x41967),x41968)))
% 184.29/184.08 [4309]E(f775(f775(f46(f856(x43091,x43092),f857(f856(x43093,x43094),a844)),f775(f775(f248(x43091,x43092),x43095),f775(f18(f857(x43092,a844),x43091),x43096))),f775(f251(x43091,x43092,f857(f856(x43093,x43094),a844)),f775(f775(f9(x43091,f857(x43092,f857(x43093,f857(x43094,a844))),f857(x43092,f857(f856(x43093,x43094),a844))),f775(f775(f10(f857(f857(x43093,f857(x43094,a844)),f857(f856(x43093,x43094),a844)),f857(f857(x43092,f857(x43093,f857(x43094,a844))),f857(x43092,f857(f856(x43093,x43094),a844))),x43091),f10(f857(x43093,f857(x43094,a844)),f857(f856(x43093,x43094),a844),x43092)),f775(f775(f10(f857(x43093,a844),f857(f857(x43093,f857(x43094,a844)),f857(f856(x43093,x43094),a844)),x43091),f248(x43093,x43094)),x43097))),f775(f775(f10(f857(x43094,a844),f857(x43093,f857(x43094,a844)),x43092),f18(f857(x43094,a844),x43093)),x43098)))),f775(f775(f248(x43093,x43094),f775(f775(f46(x43091,f857(x43093,a844)),x43095),x43097)),f775(f18(f857(x43094,a844),x43093),f775(f775(f46(x43092,f857(x43094,a844)),x43096),x43098))))
% 184.29/184.08 [4339]E(f37(x43391,x43392,x43393,x43394,x43395,x43396,x43397,x43398,x43399,a25),x43392)
% 184.29/184.08 [4340]E(f38(x43401,x43402,x43403,x43404,x43405,x43406,x43407,x43408,x43409,a25),x43402)
% 184.29/184.08 [4250]E(f775(f775(f253(x42501,x42502,x42503,x42504),f775(f775(f253(x42501,x42505,x42506,f856(x42502,x42503)),x42507),x42508)),x42509),f775(f775(f253(x42501,x42505,x42506,x42504),x42507),f775(f775(f9(x42505,f857(x42502,f857(x42503,x42504)),f857(x42506,x42504)),f775(f775(f10(f857(x42506,f856(x42502,x42503)),f857(f857(x42502,f857(x42503,x42504)),f857(x42506,x42504)),x42505),f253(x42506,x42502,x42503,x42504)),x42508)),x42509)))
% 184.29/184.08 [4341]E(f37(x43411,x43412,x43413,x43414,x43415,x43416,x43417,x43418,x43419,f775(a27,x434110)),f775(x43418,x434110))
% 184.29/184.08 [4342]E(f38(x43421,x43422,x43423,x43424,x43425,x43426,x43427,x43428,x43429,f775(a27,x434210)),f775(x43428,x434210))
% 184.29/184.08 [4280]E(f775(f75(f856(x42801,x42802),f856(x42803,x42804),f856(x42805,x42806),f252(x42801,x42803,x42802,x42804,x42807,x42808)),f252(x42805,x42801,x42806,x42802,x42809,x428010)),f252(x42805,x42803,x42806,x42804,f775(f75(x42801,x42803,x42805,x42807),x42809),f775(f75(x42802,x42804,x42806,x42808),x428010)))
% 184.29/184.08 [4343]E(f37(x43431,x43432,x43433,x43434,x43435,x43436,x43437,x43438,x43439,f35(x434310,x434311)),f775(f775(x43437,x434310),x434311))
% 184.29/184.08 [4344]E(f37(x43441,x43442,x43443,x43444,x43445,x43446,x43447,x43448,x43449,f36(x434410,x434411)),f775(f775(x43445,x434410),x434411))
% 184.29/184.09 [4345]E(f37(x43451,x43452,x43453,x43454,x43455,x43456,x43457,x43458,x43459,f28(x434510,x434511)),f775(f775(x43453,x434510),x434511))
% 184.29/184.09 [4346]E(f38(x43461,x43462,x43463,x43464,x43465,x43466,x43467,x43468,x43469,f28(x434610,x434611)),f775(f775(x43463,x434610),x434611))
% 184.29/184.09 [4352]E(f775(f775(f775(x43521,x43522),x43523),f38(x43524,x43525,x43526,x43527,x43528,x43529,x43521,x435210,x435211,x43523)),f38(x43524,x43525,x43526,x43527,x43528,x43529,x43521,x435210,x435211,f35(x43522,x43523)))
% 184.29/184.09 [4356]E(f775(f775(f775(f775(x43561,x43562),x43563),f38(x43564,x43565,x43566,x43567,x43561,x43568,x43569,x435610,x435611,x43562)),f38(x43564,x43565,x43566,x43567,x43561,x43568,x43569,x435610,x435611,x43563)),f38(x43564,x43565,x43566,x43567,x43561,x43568,x43569,x435610,x435611,f36(x43562,x43563)))
% 184.29/184.09 [4285]E(f775(f252(x42851,x42852,x42853,x42854,x42855,x42856),f775(f252(x42857,x42851,x42858,x42853,x42859,x428510),x428511)),f775(f252(x42857,x42852,x42858,x42854,f775(f75(x42851,x42852,x42857,x42855),x42859),f775(f75(x42853,x42854,x42858,x42856),x428510)),x428511))
% 184.29/184.09 [4353]E(f775(f775(f775(f775(x43531,x43532),x43533),x43534),f38(x43535,x43536,x43537,x43531,x43538,x43539,x435310,x435311,x435312,x43534)),f38(x43535,x43536,x43537,x43531,x43538,x43539,x435310,x435311,x435312,f32(x43532,x43533,x43534)))
% 184.29/184.09 [4357]E(f775(f775(f775(f775(f775(x43571,x43572),x43573),x43574),f38(x43575,x43576,x43577,x43578,x43579,x43571,x435710,x435711,x435712,x43573)),f38(x43575,x43576,x43577,x43578,x43579,x43571,x435710,x435711,x435712,x43574)),f38(x43575,x43576,x43577,x43578,x43579,x43571,x435710,x435711,x435712,f33(x43572,x43573,x43574)))
% 184.29/184.09 [4347]E(f37(x43471,x43472,x43473,x43474,x43475,x43476,x43477,x43478,x43479,f33(x434710,x434711,x434712)),f775(f775(f775(x43476,x434710),x434711),x434712))
% 184.29/184.09 [4348]E(f37(x43481,x43482,x43483,x43484,x43485,x43486,x43487,x43488,x43489,f32(x434810,x434811,x434812)),f775(f775(f775(x43484,x434810),x434811),x434812))
% 184.29/184.09 [4349]E(f37(x43491,x43492,x43493,x43494,x43495,x43496,x43497,x43498,x43499,f31(x434910,x434911,x434912)),f775(f775(f775(x43499,x434910),x434911),x434912))
% 184.29/184.09 [4350]E(f38(x43501,x43502,x43503,x43504,x43505,x43506,x43507,x43508,x43509,f31(x435010,x435011,x435012)),f775(f775(f775(x43509,x435010),x435011),x435012))
% 184.29/184.09 [4565]~P142(a329,a776)+P1(f775(a859,a776))
% 184.29/184.09 [6358]P13(a5000)+P1(f775(f775(f334(f856(a846,a845)),a695),f775(f158(f856(a846,a845)),a29)))
% 184.29/184.09 [8405]P13(a5000)+~P1(f775(f775(f251(a846,a845,a844),f775(f18(f857(a845,a844),a846),a26)),a695))
% 184.29/184.09 [4486]~P59(x44861)+P59(f854(x44861))
% 184.29/184.09 [4489]~P138(x44891)+~E(f80(x44891),f2(x44891))
% 184.29/184.09 [4491]~E(x44911,f2(a101))+E(f775(a23,x44911),f2(a1))
% 184.29/184.09 [4492]~E(x44921,f2(a1))+E(f84(a1,x44921),f2(a1))
% 184.29/184.09 [4498]~P2(x44981)+P33(x44981,f2(x44981))
% 184.29/184.09 [4500]~P100(x45001)+P18(x45001,f115(x45001))
% 184.29/184.09 [4509]P1(x45091)+P1(f775(a328,x45091))
% 184.29/184.09 [4550]~P2(x45501)+~P33(x45501,f80(x45501))
% 184.29/184.09 [4595]~P1(x45951)+~P1(f775(a328,x45951))
% 184.29/184.09 [4619]E(f775(a107,x46191),f2(a850))+~P1(f775(a186,x46191))
% 184.29/184.09 [4679]~P91(x46791)+P19(x46791,x46791,f83(x46791))
% 184.29/184.09 [4680]~P100(x46801)+P19(x46801,x46801,f236(x46801))
% 184.29/184.09 [4681]~P100(x46811)+P19(x46811,x46811,f179(x46811))
% 184.29/184.09 [4682]~P92(x46821)+P19(x46821,x46821,f103(x46821))
% 184.29/184.09 [4683]~P98(x46831)+P19(x46831,x46831,f104(x46831))
% 184.29/184.09 [4684]~P64(x46841)+P20(x46841,x46841,f83(x46841))
% 184.29/184.09 [4496]E(x44961,f2(a850))+E(f775(a114,f554(x44961)),x44961)
% 184.29/184.09 [4497]~E(x44971,f2(a850))+E(f775(f102(a1),x44971),f2(a1))
% 184.29/184.09 [4503]~P88(x45031)+E(f775(f106(x45031),a85),f2(x45031))
% 184.29/184.09 [4505]~E(f600(x45051),f2(a850))+E(f775(f155(a850),x45051),f2(a850))
% 184.29/184.09 [4506]~P102(x45061)+E(f234(x45061,f232(x45061)),f236(x45061))
% 184.29/184.09 [4507]~P102(x45071)+E(f235(x45071,f232(x45071)),f179(x45071))
% 184.29/184.09 [4508]~P82(x45081)+E(f84(x45081,f2(x45081)),f2(x45081))
% 184.29/184.09 [4515]~P2(x45151)+E(f775(f102(x45151),f2(a850)),f2(x45151))
% 184.29/184.09 [4516]~P2(x45161)+E(f775(f102(x45161),f80(a850)),f80(x45161))
% 184.29/184.09 [4517]~P133(x45171)+E(f775(f105(x45171),f2(a1)),f2(x45171))
% 184.29/184.09 [4518]~P133(x45181)+E(f775(f105(x45181),f80(a1)),f80(x45181))
% 184.29/184.09 [4519]E(x45191,f2(a850))+~E(f775(f102(a1),x45191),f2(a1))
% 184.29/184.09 [4544]~P69(x45441)+E(f775(f81(x45441),f2(x45441)),f2(x45441))
% 184.29/184.09 [4545]~P90(x45451)+E(f775(f81(x45451),f239(x45451)),f180(x45451))
% 184.29/184.09 [4546]~P90(x45461)+E(f775(f81(x45461),f180(x45461)),f239(x45461))
% 184.29/184.09 [4547]~P79(x45471)+E(f775(f77(x45471),f2(x45471)),f2(x45471))
% 184.29/184.09 [4548]~P110(x45481)+E(f775(f77(x45481),f80(x45481)),f80(x45481))
% 184.29/184.09 [4549]~P67(x45491)+E(f775(f155(x45491),f115(x45491)),f2(x45491))
% 184.29/184.09 [4571]~P35(x45711)+P38(f775(f158(a1),x45711))
% 184.29/184.09 [4600]~P88(x46001)+E(f775(f81(x46001),f80(x46001)),f775(f106(x46001),a99))
% 184.29/184.09 [4618]~P88(x46181)+P33(x46181,f775(f106(x46181),a85))
% 184.29/184.09 [4643]P35(x46431)+~P38(f775(f158(a1),x46431))
% 184.29/184.09 [4685]E(f775(f102(a1),f775(a107,x46851)),x46851)+P1(f775(a186,x46851))
% 184.29/184.09 [4751]~P105(x47511)+E(f243(x47511,f80(x47511),f83(x47511)),f242(x47511))
% 184.29/184.09 [4779]~P88(x47791)+~P33(x47791,f775(f106(x47791),a99))
% 184.29/184.09 [4789]E(f775(a30,x47891),f183(a845))+P1(f775(a26,f775(a27,x47891)))
% 184.29/184.09 [4919]E(f775(f77(a1),x49191),x49191)+P1(f775(f775(f233(a1),x49191),f2(a1)))
% 184.29/184.09 [4939]~E(f775(a107,x49391),f2(a850))+P1(f775(f775(f232(a1),x49391),f2(a1)))
% 184.29/184.09 [4974]~E(f775(f77(a1),x49741),f80(a1))+P1(f775(f775(f279(a1),x49741),f80(a1)))
% 184.29/184.09 [5004]~P1(f775(a186,x50041))+P1(f775(f775(f233(a1),x50041),f2(a1)))
% 184.29/184.09 [5044]~P2(x50441)+P1(f775(f775(f334(x50441),f2(x50441)),f176(x50441)))
% 184.29/184.09 [5045]~P133(x50451)+P1(f775(f775(f334(x50451),f2(x50451)),f112(x50451)))
% 184.29/184.09 [5046]~P2(x50461)+P1(f775(f775(f334(x50461),f80(x50461)),f176(x50461)))
% 184.29/184.09 [5047]~P133(x50471)+P1(f775(f775(f334(x50471),f80(x50471)),f112(x50471)))
% 184.29/184.09 [5048]~P117(x50481)+P1(f775(f775(f233(x50481),f2(x50481)),f80(x50481)))
% 184.29/184.09 [5049]~P117(x50491)+P1(f775(f775(f232(x50491),f2(x50491)),f80(x50491)))
% 184.29/184.09 [5052]E(f775(f227(a845),f449(x50521)),f775(a30,x50521))+~P1(f775(a26,f775(a27,x50521)))
% 184.29/184.09 [5053]E(f775(f227(a845),f471(x50531)),f775(a30,x50531))+~P1(f775(a26,f775(a27,x50531)))
% 184.29/184.09 [5103]E(x51031,f2(a850))+~P1(f775(f775(f232(a850),x51031),f2(a850)))
% 184.29/184.09 [5104]E(x51041,f80(a850))+~P1(f775(f775(f279(a850),x51041),f80(a850)))
% 184.29/184.09 [5146]E(f775(a107,x51461),f2(a850))+~P1(f775(f775(f232(a1),x51461),f2(a1)))
% 184.29/184.09 [5174]E(f775(f77(a1),x51741),f80(a1))+~P1(f775(f775(f279(a1),x51741),f80(a1)))
% 184.29/184.09 [5201]P1(f775(a186,x52011))+~P1(f775(f775(f233(a1),x52011),f2(a1)))
% 184.29/184.09 [5206]~P100(x52061)+P20(x52061,f851(x52061),f138(x52061,x52061,f7(x52061)))
% 184.29/184.09 [5224]P38(x52241)+~P1(f775(f775(f232(a1),f2(a1)),f338(x52241)))
% 184.29/184.09 [5230]E(f775(f77(a1),x52301),f775(f81(a1),x52301))+~P1(f775(f775(f233(a1),x52301),f2(a1)))
% 184.29/184.09 [5399]~P117(x53991)+~P1(f775(f775(f233(x53991),f80(x53991)),f2(x53991)))
% 184.29/184.09 [5400]~P117(x54001)+~P1(f775(f775(f232(x54001),f80(x54001)),f2(x54001)))
% 184.29/184.09 [5412]~E(x54121,f2(a1))+P1(f775(f775(f233(a1),f775(f77(a1),x54121)),f80(a1)))
% 184.29/184.09 [5413]~E(x54131,f2(a850))+P1(f775(f775(f232(a1),f775(f102(a1),x54131)),f2(a1)))
% 184.29/184.09 [5527]~P67(x55271)+E(f132(x55271,x55271,f82(x55271),f2(x55271)),f155(x55271))
% 184.29/184.09 [5702]~P86(x57021)+P29(a850,x57021,f102(x57021),f239(f857(a850,a844)))
% 184.29/184.09 [5899]E(x58991,f2(a850))+~P1(f775(f775(f232(a1),f775(f102(a1),x58991)),f2(a1)))
% 184.29/184.09 [5900]E(x59001,f2(a1))+~P1(f775(f775(f233(a1),f775(f77(a1),x59001)),f80(a1)))
% 184.29/184.09 [6733]~P1(f775(f775(f233(a1),x67331),f2(a1)))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x67331),x67331)),f2(a1)))
% 184.29/184.09 [7310]P1(f775(f775(f233(a1),x73101),f2(a1)))+~P1(f775(f775(f233(a1),f775(f775(f82(a1),x73101),x73101)),f2(a1)))
% 184.29/184.09 [7875]E(x78751,f775(a5,f2(a850)))+P1(f775(f775(f233(a850),f775(f775(f3(a850),f775(a22,x78751)),f775(a114,f2(a850)))),f775(a22,x78751)))
% 184.29/184.09 [8617]~P1(f775(f775(f233(a1),x86171),f2(a1)))+P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),x86171),x86171)),a99)),f2(a1)))
% 184.29/184.09 [8701]~P1(f775(f775(f233(a1),x87011),f2(a1)))+P1(f775(f775(f233(a1),f775(f775(f82(a1),f775(f775(f82(a1),f80(a1)),x87011)),x87011)),f2(a1)))
% 184.29/184.09 [8985]P1(f775(f775(f233(a1),x89851),f2(a1)))+~P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),x89851),x89851)),a99)),f2(a1)))
% 184.29/184.09 [9049]P1(f775(f775(f233(a1),x90491),f2(a1)))+~P1(f775(f775(f233(a1),f775(f775(f82(a1),f775(f775(f82(a1),f80(a1)),x90491)),x90491)),f2(a1)))
% 184.29/184.09 [4588]~E(a85,x45881)+E(f775(f775(f82(a1),x45881),x45881),a85)
% 184.29/184.09 [4589]~E(x45891,a85)+E(f775(f775(f82(a1),x45891),x45891),a85)
% 184.29/184.09 [4604]E(x46041,f2(a1))+E(f775(f775(f43(a1),x46041),x46041),f80(a1))
% 184.29/184.09 [4729]E(x47291,a85)+~E(f775(f775(f82(a1),x47291),x47291),a85)
% 184.29/184.09 [4730]E(a85,x47301)+~E(f775(f775(f82(a1),x47301),x47301),a85)
% 184.29/184.09 [4741]~P9(x47411)+E(f45(x47411,f239(f857(x47411,a844))),f180(x47411))
% 184.29/184.09 [4742]~P9(x47421)+E(f45(x47421,f180(f857(x47421,a844))),f239(x47421))
% 184.29/184.09 [4743]~P9(x47431)+E(f44(x47431,f239(f857(x47431,a844))),f239(x47431))
% 184.29/184.09 [4744]~P9(x47441)+E(f44(x47441,f180(f857(x47441,a844))),f180(x47441))
% 184.29/184.09 [4745]~P100(x47451)+E(f130(x47451,f180(f857(x47451,a844))),f115(x47451))
% 184.29/184.09 [4879]E(x48791,f2(a850))+P1(f775(f775(f233(a850),f2(a850)),x48791))
% 184.29/184.09 [4899]~P10(x48991)+P1(f775(f775(f232(a1),f2(a1)),x48991))
% 184.29/184.09 [4930]~E(f775(f106(a850),x49301),f2(a850))+P1(f775(f775(f232(a1),x49301),a85))
% 184.29/184.09 [4935]P38(x49351)+P1(f775(f775(f334(a1),f338(x49351)),x49351))
% 184.29/184.09 [4936]E(x49361,f775(a5,f2(a850)))+P1(f775(f775(f232(a101),f80(a101)),x49361))
% 184.29/184.09 [4979]P1(f775(a186,x49791))+P1(f775(f775(f232(a1),f2(a1)),x49791))
% 184.29/184.09 [5026]E(f775(f102(a1),f775(a107,x50261)),f2(a1))+P1(f775(f775(f232(a1),f2(a1)),x50261))
% 184.29/184.09 [5091]E(f775(f102(a1),f775(f106(a850),x50911)),f775(f106(a1),x50911))+P1(f775(a186,f775(f106(a1),x50911)))
% 184.29/184.09 [5111]E(f775(f106(a850),x51111),f2(a850))+~P1(f775(a186,f775(f106(a1),x51111)))
% 184.29/184.09 [5112]E(f775(f106(a850),x51121),f2(a850))+~P1(f775(f775(f232(a1),x51121),a85))
% 184.29/184.09 [5143]P10(x51431)+~P1(f775(f775(f232(a1),f2(a1)),x51431))
% 184.29/184.09 [5209]E(f775(a114,f579(x52091)),x52091)+~P1(f775(f775(f233(a850),f2(a850)),x52091))
% 184.29/184.09 [5210]E(f775(a114,f617(x52101)),x52101)+~P1(f775(f775(f233(a850),f2(a850)),x52101))
% 184.29/184.09 [5218]E(f775(a114,f775(f106(a850),x52181)),f80(a850))+~P1(f775(a186,f775(f106(a1),x52181)))
% 184.29/184.09 [5226]E(f775(f102(a1),f625(x52261)),x52261)+~P1(f775(f775(f233(a1),f2(a1)),x52261))
% 184.29/184.09 [5233]~E(x52331,f775(a5,f2(a850)))+~P1(f775(f775(f232(a101),f80(a101)),x52331))
% 184.29/184.09 [5240]E(f775(f102(a1),f775(f106(a850),x52401)),f2(a1))+~P1(f775(a186,f775(f106(a1),x52401)))
% 184.29/184.09 [5264]E(f775(f155(a850),x52641),f2(a850))+P1(f775(f775(f334(a850),f600(x52641)),f775(f158(a850),x52641)))
% 184.29/184.09 [5284]E(f775(f102(a1),f775(a107,x52841)),x52841)+~P1(f775(f775(f232(a1),f2(a1)),x52841))
% 184.29/184.09 [5293]~P1(f775(a186,x52931))+~P1(f775(f775(f232(a1),f2(a1)),x52931))
% 184.29/184.09 [5392]E(f775(f775(f82(a850),f80(a850)),f775(f106(a850),x53921)),f80(a850))+~P1(f775(f775(f233(a1),x53921),a85))
% 184.29/184.09 [5449]E(x54491,f2(a850))+~P1(f775(f775(f233(a850),x54491),f775(a114,f2(a850))))
% 184.29/184.09 [5470]E(x54701,f775(a114,f2(a850)))+~P1(f775(f775(f279(a850),x54701),f775(a114,f2(a850))))
% 184.29/184.09 [5488]E(f775(f775(f82(a850),f775(f106(a850),x54881)),f80(a850)),f80(a850))+~P1(f775(f775(f233(a1),x54881),a85))
% 184.29/184.09 [5489]E(f775(f775(f3(a850),f775(f106(a850),x54891)),f80(a850)),f2(a850))+~P1(f775(f775(f232(a1),x54891),a85))
% 184.29/184.09 [5499]~P38(x54991)+E(f775(f42(a850),f775(f303(a1,a850,a107),x54991)),f775(f42(a1),x54991))
% 184.29/184.09 [5528]~P100(x55281)+E(f234(x55281,f775(f9(x55281,x55281,a844),f232(x55281))),f179(x55281))
% 184.29/184.09 [5529]~P100(x55291)+E(f235(x55291,f775(f9(x55291,x55291,a844),f232(x55291))),f236(x55291))
% 184.29/184.09 [5538]E(f52(a850,f775(a114,f2(a850)),f775(f106(a850),x55381)),f775(a114,f2(a850)))+~P1(f775(a186,f775(f106(a1),x55381)))
% 184.29/184.09 [5546]P1(f775(f775(f233(a1),f2(a1)),x55461))+~P1(f775(f775(f232(a1),f80(a1)),x55461))
% 184.29/184.09 [5547]~P1(f775(f775(f233(a1),f2(a1)),x55471))+P1(f775(f775(f232(a1),f80(a1)),x55471))
% 184.29/184.09 [5557]E(f775(a114,f775(f775(f3(a850),x55571),f80(a850))),x55571)+~P1(f775(f775(f233(a850),f2(a850)),x55571))
% 184.29/184.09 [5615]P1(f775(f775(f233(a850),f2(a850)),f625(x56151)))+~P1(f775(f775(f233(a1),f2(a1)),x56151))
% 184.29/184.09 [5672]E(f52(a1,f775(f106(a1),a99),x56721),f775(f775(f3(a1),x56721),f80(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x56721))
% 184.29/184.09 [5717]~P1(f775(f775(f233(a1),a85),x57171))+P1(f775(f775(f233(a850),f2(a850)),f775(f106(a850),x57171)))
% 184.29/184.09 [5771]P1(f775(f775(f233(a850),f2(a850)),f775(a107,x57711)))+~P1(f775(f775(f233(a1),f2(a1)),x57711))
% 184.29/184.09 [5818]~P1(f775(f775(f233(a850),f2(a850)),x58181))+P1(f775(f775(f233(a1),f2(a1)),f775(f102(a1),x58181)))
% 184.29/184.09 [5853]~P1(f775(f775(f233(a850),f2(a850)),f775(a107,x58531)))+P1(f775(f775(f233(a1),f2(a1)),x58531))
% 184.29/184.09 [5868]~P38(x58681)+E(f775(f303(a850,a1,f102(a1)),f775(f303(a1,a850,a107),x58681)),x58681)
% 184.29/184.09 [5879]P1(f775(f775(f233(a1),a85),x58791))+~P1(f775(f775(f233(a850),f2(a850)),f775(f106(a850),x58791)))
% 184.29/184.09 [5941]P1(f775(f775(f233(a850),f2(a850)),x59411))+~P1(f775(f775(f233(a1),f2(a1)),f775(f102(a1),x59411)))
% 184.29/184.09 [6057]E(f775(f303(a850,a1,f102(a1)),f775(f257(a850),f775(a107,x60571))),f775(f294(a1,f2(a1)),x60571))+~P1(f775(f775(f232(a1),f2(a1)),x60571))
% 184.29/184.09 [6073]~P117(x60731)+P1(f775(f775(f233(x60731),f2(x60731)),f775(f775(f82(x60731),f80(x60731)),f80(x60731))))
% 184.29/184.09 [6124]P1(f775(f775(f233(a850),f775(a114,f2(a850))),f775(a107,x61241)))+~P1(f775(f775(f233(a1),f80(a1)),x61241))
% 184.29/184.09 [6221]E(x62211,f2(a1))+P1(f775(f56(f2(a1),x62211),f775(f775(f241(a1,a1),f2(a1)),f2(a1))))
% 184.29/184.09 [6401]~P1(f775(f775(f233(a850),f775(a114,f2(a850))),f775(a107,x64011)))+P1(f775(f775(f233(a1),f80(a1)),x64011))
% 184.29/184.09 [6855]~P107(x68551)+P36(x68551,f775(f256(f856(x68551,x68551)),f775(f251(x68551,x68551,a844),f233(x68551))))
% 184.29/184.09 [5109]~P35(x51091)+E(f129(f775(f775(f143(a1,a850),a107),x51091)),x51091)
% 184.29/184.09 [5439]E(f775(f106(a850),f775(f775(f3(a1),x54391),a99)),f775(a114,f775(f106(a850),x54391)))+P1(f775(a186,f775(f106(a1),x54391)))
% 184.29/184.09 [5464]P31(a843,a862,x54641)+~P1(f775(f775(f334(f849(a843)),x54641),a860))
% 184.29/184.09 [5563]E(f775(f81(a1),f775(f102(a1),f775(a114,f683(x55631)))),x55631)+~P1(f775(f775(f233(a1),x55631),f2(a1)))
% 184.29/184.09 [5573]E(f775(f775(f82(a850),f80(a850)),f775(f106(a850),x55731)),f775(f106(a850),f775(f775(f3(a1),x55731),a99)))+P1(f775(f775(f233(a1),x55731),a85))
% 184.29/184.09 [5617]E(f775(f775(f43(a1),f775(f106(a1),a99)),x56171),f775(f106(a1),a99))+~P1(f775(f775(f233(a1),f2(a1)),x56171))
% 184.29/184.09 [5713]E(f775(f775(f82(a850),f775(f106(a850),x57131)),f80(a850)),f775(f106(a850),f775(f775(f3(a1),x57131),a99)))+P1(f775(f775(f233(a1),x57131),a85))
% 184.29/184.09 [5714]E(f775(f775(f3(a850),f775(f106(a850),x57141)),f80(a850)),f775(f106(a850),f775(f775(f82(a1),x57141),a99)))+P1(f775(f775(f232(a1),x57141),a85))
% 184.29/184.09 [5757]E(f775(a107,f775(f775(f82(a1),f80(a1)),x57571)),f775(a114,f775(a107,x57571)))+~P1(f775(f775(f232(a1),f2(a1)),x57571))
% 184.29/184.09 [5795]E(f775(a114,f775(f775(f3(a850),x57951),f775(a114,f2(a850)))),x57951)+~P1(f775(f775(f233(a850),f2(a850)),x57951))
% 184.29/184.09 [6002]E(f52(a850,f775(a114,f2(a850)),f775(f106(a850),x60021)),f775(a107,f52(a1,f80(a1),f775(f106(a1),x60021))))+P1(f775(a186,f775(f106(a1),x60021)))
% 184.29/184.09 [6048]~P1(f775(f775(f233(a1),a99),x60481))+P1(f775(f775(f233(a1),a99),f775(f775(f82(a1),x60481),x60481)))
% 184.29/184.09 [6049]~P1(f775(f775(f233(a1),a85),x60491))+P1(f775(f775(f233(a1),a85),f775(f775(f82(a1),x60491),x60491)))
% 184.29/184.09 [6050]~P1(f775(f775(f233(a1),a99),x60501))+P1(f775(f775(f232(a1),a99),f775(f775(f82(a1),x60501),x60501)))
% 184.29/184.09 [6051]~P1(f775(f775(f232(a1),a85),x60511))+P1(f775(f775(f232(a1),a85),f775(f775(f82(a1),x60511),x60511)))
% 184.29/184.09 [6235]~P1(f775(f63(x62351),f239(f857(x62351,a844))))+P1(f775(f63(f854(x62351)),f239(f857(f854(x62351),a844))))
% 184.29/184.09 [6326]~P1(f775(f775(f232(a1),f2(a1)),x63261))+P1(f775(f775(f233(a1),f2(a1)),f775(f775(f82(a1),f80(a1)),x63261)))
% 184.29/184.09 [6332]E(f775(f240(a1,a1),f54(f80(a1),f775(f106(a1),x63321))),f775(f775(f43(a1),f80(a1)),f775(f106(a1),x63321)))+~P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x63321)))
% 184.29/184.09 [6357]E(f775(f250(a1,a1),f54(f80(a1),f775(f106(a1),x63571))),f52(a1,f80(a1),f775(f106(a1),x63571)))+~P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x63571)))
% 184.29/184.09 [6370]P1(f775(f63(x63701),f239(f857(x63701,a844))))+~P1(f775(f63(f854(x63701)),f239(f857(f854(x63701),a844))))
% 184.29/184.09 [6402]P1(f775(f775(f233(a1),a99),x64021))+~P1(f775(f775(f233(a1),a99),f775(f775(f82(a1),x64021),x64021)))
% 184.29/184.09 [6403]P1(f775(f775(f233(a1),a99),x64031))+~P1(f775(f775(f232(a1),a99),f775(f775(f82(a1),x64031),x64031)))
% 184.29/184.09 [6404]P1(f775(f775(f233(a1),a85),x64041))+~P1(f775(f775(f233(a1),a85),f775(f775(f82(a1),x64041),x64041)))
% 184.29/184.09 [6405]P1(f775(f775(f232(a1),a85),x64051))+~P1(f775(f775(f232(a1),a85),f775(f775(f82(a1),x64051),x64051)))
% 184.29/184.09 [6739]~P1(f775(f63(x67391),f239(f857(x67391,a844))))+P1(f775(f775(f233(a850),f2(a850)),f775(f42(x67391),f239(f857(x67391,a844)))))
% 184.29/184.09 [7355]P1(f775(f63(a850),x73551))+~P1(f775(f63(a1),f775(f303(a850,a1,f102(a1)),x73551)))
% 184.29/184.09 [5367]~E(a99,x53671)+E(f775(f775(f3(a1),f775(f775(f82(a1),x53671),x53671)),a99),a99)
% 184.29/184.09 [5368]~E(x53681,a99)+E(f775(f775(f3(a1),f775(f775(f82(a1),x53681),x53681)),a99),a99)
% 184.29/184.09 [5873]E(x58731,a99)+~E(f775(f775(f3(a1),f775(f775(f82(a1),x58731),x58731)),a99),a99)
% 184.29/184.09 [5874]E(a99,x58741)+~E(f775(f775(f3(a1),f775(f775(f82(a1),x58741),x58741)),a99),a99)
% 184.29/184.09 [6295]~E(f775(f106(a850),x62951),f2(a850))+P1(f775(a186,f775(f106(a1),f775(f775(f82(a1),x62951),a99))))
% 184.29/184.09 [6662]~P1(f775(a186,f775(f106(a1),x66621)))+P1(f775(a186,f775(f106(a1),f775(f775(f82(a1),x66621),x66621))))
% 184.29/184.09 [6663]~P1(f775(f775(f232(a1),x66631),a99))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x66631),x66631)),a99))
% 184.29/184.09 [6664]~P1(f775(f775(f233(a1),x66641),a85))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x66641),x66641)),a85))
% 184.29/184.09 [6665]~P1(f775(f775(f232(a1),x66651),a99))+P1(f775(f775(f232(a1),f775(f775(f82(a1),x66651),x66651)),a99))
% 184.29/184.09 [6666]~P1(f775(f775(f232(a1),x66661),a85))+P1(f775(f775(f232(a1),f775(f775(f82(a1),x66661),x66661)),a85))
% 184.29/184.09 [6998]E(f775(f106(a850),x69981),f2(a850))+~P1(f775(a186,f775(f106(a1),f775(f775(f82(a1),x69981),a99))))
% 184.29/184.09 [7258]~P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x72581)))+P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),f775(f775(f82(a1),x72581),x72581))))
% 184.29/184.09 [7259]P1(f775(a186,f775(f106(a1),x72591)))+~P1(f775(a186,f775(f106(a1),f775(f775(f82(a1),x72591),x72591))))
% 184.29/184.09 [7260]P1(f775(f775(f233(a1),x72601),a85))+~P1(f775(f775(f233(a1),f775(f775(f82(a1),x72601),x72601)),a85))
% 184.29/184.09 [7261]P1(f775(f775(f232(a1),x72611),a99))+~P1(f775(f775(f233(a1),f775(f775(f82(a1),x72611),x72611)),a99))
% 184.29/184.09 [7262]P1(f775(f775(f232(a1),x72621),a99))+~P1(f775(f775(f232(a1),f775(f775(f82(a1),x72621),x72621)),a99))
% 184.29/184.09 [7263]P1(f775(f775(f232(a1),x72631),a85))+~P1(f775(f775(f232(a1),f775(f775(f82(a1),x72631),x72631)),a85))
% 184.29/184.09 [7642]E(f775(a109,f571(x76421)),x76421)+~P1(f775(f775(f334(f857(f856(a850,a850),a844)),x76421),a100))
% 184.29/184.09 [6208]~P88(x62081)+E(f775(f106(x62081),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f80(x62081))
% 184.29/184.09 [6717]~P1(f775(a186,f775(f106(a1),x67171)))+E(f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),x67171),x67171)),a99)),f2(a850))
% 184.29/184.09 [7821]~P1(f775(f775(f233(a1),f775(f106(a1),x78211)),f2(a1)))+E(f775(f240(a1,a1),f775(a58,f57(f775(f81(a1),f80(a1)),f775(f81(a1),f775(f106(a1),x78211))))),f775(f775(f43(a1),f80(a1)),f775(f106(a1),x78211)))
% 184.29/184.09 [7834]~P1(f775(f775(f233(a1),f775(f106(a1),x78341)),f2(a1)))+E(f775(f250(a1,a1),f775(a58,f57(f775(f81(a1),f80(a1)),f775(f81(a1),f775(f106(a1),x78341))))),f52(a1,f80(a1),f775(f106(a1),x78341)))
% 184.29/184.09 [7881]~P1(f775(f775(f233(a1),a99),x78811))+P1(f775(f775(f233(a1),a99),f775(f775(f3(a1),f775(f775(f82(a1),x78811),x78811)),a99)))
% 184.29/184.09 [7882]~P1(f775(f775(f232(a1),a85),x78821))+P1(f775(f775(f233(a1),a85),f775(f775(f3(a1),f775(f775(f82(a1),x78821),x78821)),a99)))
% 184.29/184.09 [7883]~P1(f775(f775(f232(a1),a99),x78831))+P1(f775(f775(f232(a1),a99),f775(f775(f3(a1),f775(f775(f82(a1),x78831),x78831)),a99)))
% 184.29/184.09 [7884]~P1(f775(f775(f232(a1),a85),x78841))+P1(f775(f775(f232(a1),a85),f775(f775(f3(a1),f775(f775(f82(a1),x78841),x78841)),a99)))
% 184.29/184.09 [8181]~P88(x81811)+~P33(x81811,f775(f106(x81811),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))
% 184.29/184.09 [8361]P1(f775(f775(f233(a1),a99),x83611))+~P1(f775(f775(f233(a1),a99),f775(f775(f3(a1),f775(f775(f82(a1),x83611),x83611)),a99)))
% 184.29/184.09 [8362]P1(f775(f775(f232(a1),a99),x83621))+~P1(f775(f775(f232(a1),a99),f775(f775(f3(a1),f775(f775(f82(a1),x83621),x83621)),a99)))
% 184.29/184.09 [8363]P1(f775(f775(f232(a1),a85),x83631))+~P1(f775(f775(f233(a1),a85),f775(f775(f3(a1),f775(f775(f82(a1),x83631),x83631)),a99)))
% 184.29/184.09 [8364]P1(f775(f775(f232(a1),a85),x83641))+~P1(f775(f775(f232(a1),a85),f775(f775(f3(a1),f775(f775(f82(a1),x83641),x83641)),a99)))
% 184.29/184.09 [8660]E(f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),x86601),x86601)),a99)),f775(f775(f88(a850,a850),f775(f106(a850),x86601)),f775(f775(f10(a850,a850,a850),a114),f775(f775(f20(a850,a850,a850),f82(a850)),f7(a850)))))+P1(f775(a186,f775(f106(a1),x86601)))
% 184.29/184.09 [9433]E(x94331,f180(f857(f856(a850,a850),a844)))+P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),x94331),f180(f857(f856(a850,a850),a844)))),a70))
% 184.29/184.09 [8594]~P1(f775(a186,f775(f106(a1),x85941)))+P1(f775(a186,f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),x85941),x85941)),a99))))
% 184.29/184.09 [8595]~P1(f775(f775(f233(a1),x85951),a99))+P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),x85951),x85951)),a99)),a99))
% 184.29/184.09 [8596]~P1(f775(f775(f233(a1),x85961),a85))+P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),x85961),x85961)),a99)),a85))
% 184.29/184.09 [8597]~P1(f775(f775(f232(a1),x85971),a99))+P1(f775(f775(f232(a1),f775(f775(f3(a1),f775(f775(f82(a1),x85971),x85971)),a99)),a99))
% 184.29/184.09 [8598]~P1(f775(f775(f233(a1),x85981),a85))+P1(f775(f775(f232(a1),f775(f775(f3(a1),f775(f775(f82(a1),x85981),x85981)),a99)),a85))
% 184.29/184.09 [8694]~P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x86941)))+P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),x86941),x86941)),a99))))
% 184.29/184.09 [8824]~P88(x88241)+E(f775(f775(f82(x88241),f80(x88241)),f80(x88241)),f775(f106(x88241),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))
% 184.29/184.09 [8971]P1(f775(a186,f775(f106(a1),x89711)))+~P1(f775(a186,f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),x89711),x89711)),a99))))
% 184.29/184.09 [8972]P1(f775(f775(f233(a1),x89721),a99))+~P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),x89721),x89721)),a99)),a99))
% 184.29/184.09 [8973]P1(f775(f775(f233(a1),x89731),a85))+~P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),x89731),x89731)),a99)),a85))
% 184.29/184.09 [8974]P1(f775(f775(f233(a1),x89741),a85))+~P1(f775(f775(f232(a1),f775(f775(f3(a1),f775(f775(f82(a1),x89741),x89741)),a99)),a85))
% 184.29/184.09 [8975]P1(f775(f775(f232(a1),x89751),a99))+~P1(f775(f775(f232(a1),f775(f775(f3(a1),f775(f775(f82(a1),x89751),x89751)),a99)),a99))
% 184.29/184.09 [9481]~P1(f775(f63(f856(a850,a850)),x94811))+P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),f180(f857(f856(a850,a850),a844))),x94811)),a71))
% 184.29/184.09 [9267]~P2(x92671)+E(f775(f775(f242(x92671),f2(x92671)),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f2(x92671))
% 184.29/184.09 [9268]~P2(x92681)+E(f775(f775(f242(x92681),f80(x92681)),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f80(x92681))
% 184.29/184.09 [9678]~P1(f775(f775(f233(a850),f80(a850)),x96781))+P1(f775(f775(f233(a850),f2(a850)),f775(f775(f43(a850),x96781),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.29/184.09 [9684]~P1(f775(f775(f233(a850),f2(a850)),x96841))+P1(f775(f775(f233(a850),f2(a850)),f775(f775(f43(a850),f775(f775(f82(a850),x96841),f80(a850))),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.29/184.09 [9723]~E(f52(a850,x97231,f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f80(a850))+P1(f775(f775(f233(a850),f2(a850)),f52(a850,x97231,f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.29/184.09 [9758]E(f52(a850,x97581,f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f80(a850))+~P1(f775(f775(f233(a850),f2(a850)),f52(a850,x97581,f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.29/184.09 [4523]~P36(x45231,x45232)+P56(x45231,x45232)
% 184.29/184.09 [4524]~P42(x45241,x45242)+P56(x45241,x45242)
% 184.29/184.09 [4487]~E(x44871,x44872)+E(f266(x44871,x44872),f80(a101))
% 184.29/184.09 [4490]E(f211(x44901,x44902),x44901)+~E(x44902,f2(a850))
% 184.29/184.09 [4495]P37(x44951,x44952)+~E(x44952,f183(x44951))
% 184.29/184.09 [4501]~P37(x45012,x45011)+E(x45011,f183(x45012))
% 184.29/184.09 [4528]~P99(x45282)+P99(f857(x45281,x45282))
% 184.29/184.09 [4529]~P103(x45292)+P103(f857(x45291,x45292))
% 184.29/184.09 [4530]~P102(x45302)+P102(f857(x45301,x45302))
% 184.29/184.09 [4531]~P90(x45312)+P90(f857(x45311,x45312))
% 184.29/184.09 [4532]~P84(x45322)+P84(f857(x45321,x45322))
% 184.29/184.09 [4533]~P71(x45332)+P71(f857(x45331,x45332))
% 184.29/184.09 [4534]~P93(x45342)+P92(f857(x45341,x45342))
% 184.29/184.09 [4535]~P93(x45352)+P93(f857(x45351,x45352))
% 184.29/184.09 [4536]~P9(x45362)+P9(f857(x45361,x45362))
% 184.29/184.09 [4537]~P106(x45372)+P106(f857(x45371,x45372))
% 184.29/184.09 [4538]~P96(x45382)+P94(f857(x45381,x45382))
% 184.29/184.09 [4539]~P101(x45392)+P101(f857(x45391,x45392))
% 184.29/184.09 [4540]~P96(x45402)+P95(f857(x45401,x45402))
% 184.29/184.09 [4541]~P97(x45412)+P97(f857(x45411,x45412))
% 184.29/184.09 [4542]~P93(x45422)+P98(f857(x45421,x45422))
% 184.29/184.09 [4543]~P96(x45432)+P96(f857(x45431,x45432))
% 184.29/184.09 [4556]E(x45561,x45562)+~E(f775(a114,x45561),f775(a114,x45562))
% 184.29/184.09 [4557]E(x45571,x45572)+~E(f775(a27,x45571),f775(a27,x45572))
% 184.29/184.09 [4558]E(x45581,x45582)+~E(f775(a5,x45581),f775(a5,x45582))
% 184.29/184.09 [4560]E(x45601,x45602)+~E(f775(a22,x45601),f775(a22,x45602))
% 184.29/184.09 [4561]E(x45611,x45612)+~E(f775(a109,x45611),f775(a109,x45612))
% 184.29/184.09 [4659]~P7(x46591)+E(f52(x46591,x46592,x46592),f2(x46591))
% 184.29/184.09 [4692]~P36(x46921,x46922)+P36(f851(x46921),f136(x46921,x46922))
% 184.29/184.09 [4693]~P36(x46931,x46932)+P36(f851(x46931),f135(x46931,x46932))
% 184.29/184.09 [4784]~P36(x47841,x47842)+P36(f857(x47841,a844),f326(x47841,x47842))
% 184.29/184.09 [4785]~P36(x47851,x47852)+P36(f857(x47851,a844),f324(x47851,x47852))
% 184.29/184.09 [4904]~P10(x49041)+P38(f295(a1,x49041,x49042))
% 184.29/184.09 [5007]~P36(x50071,x50072)+P58(x50071,f69(x50071,x50071,x50072))
% 184.29/184.09 [5493]~P77(x54931)+P29(x54931,x54931,f81(x54931),x54932)
% 184.29/184.09 [4511]~E(x45112,f115(x45111))+E(f775(f141(x45111),x45112),f115(x45111))
% 184.29/184.09 [4512]~E(x45122,f115(x45121))+E(f775(f142(x45121),x45122),f115(x45121))
% 184.29/184.09 [4566]E(x45661,f775(a107,x45662))+~E(f775(f102(a1),x45661),x45662)
% 184.29/184.09 [4569]E(x45691,f115(x45692))+~E(f775(f141(x45692),x45691),f115(x45692))
% 184.29/184.09 [4570]E(x45701,f115(x45702))+~E(f775(f142(x45702),x45701),f115(x45702))
% 184.29/184.09 [4585]~P88(x45851)+E(f775(f106(x45851),x45852),f775(f105(x45851),x45852))
% 184.29/184.09 [4592]~E(x45922,f183(x45921))+E(f226(x45921,x45922),f180(f857(x45921,a844)))
% 184.29/184.09 [4594]~P59(x45941)+P1(f775(f63(x45941),x45942))
% 184.29/184.09 [4601]E(x46011,f183(x46012))+E(f775(f227(x46012),f491(x46012,x46011)),x46011)
% 184.29/184.09 [4602]E(x46021,f183(x46022))+E(f775(f227(x46022),f492(x46022,x46021)),x46021)
% 184.29/184.09 [4603]E(x46031,f183(x46032))+E(f775(f227(x46032),f503(x46032,x46031)),x46031)
% 184.29/184.09 [4605]~E(f721(x46052,x46051),f115(x46051))+E(f164(x46051,x46052),f115(f851(x46051)))
% 184.29/184.09 [4614]~E(x46142,f115(x46141))+E(f775(f158(x46141),x46142),f180(f857(x46141,a844)))
% 184.29/184.09 [4615]~E(x46152,f115(x46151))+E(f180(f857(x46151,a844)),f775(f158(x46151),x46152))
% 184.29/184.09 [4617]E(x46171,x46172)+~E(f775(f102(a1),x46171),f775(f102(a1),x46172))
% 184.29/184.09 [4620]E(f209(x46201,x46202),f2(a850))+P1(f775(f63(x46201),x46202))
% 184.29/184.09 [4638]~P110(x46381)+E(f84(x46381,f84(x46381,x46382)),f84(x46381,x46382))
% 184.29/184.09 [4650]~P85(x46501)+E(f775(f775(f242(x46501),x46502),f80(a850)),x46502)
% 184.29/184.09 [4651]~P75(x46511)+E(f775(f775(f242(x46511),x46512),f80(a850)),x46512)
% 184.29/184.09 [4653]E(x46531,x46532)+E(f266(x46531,x46532),f775(f775(f82(a101),x46532),f80(a101)))
% 184.29/184.09 [4656]E(f775(f42(x46561),x46562),f2(a850))+P1(f775(f63(x46561),x46562))
% 184.29/184.09 [4662]~P66(x46621)+E(f775(f775(f82(x46621),x46622),f2(x46621)),x46622)
% 184.29/184.09 [4663]~P67(x46631)+E(f775(f775(f82(x46631),x46632),f2(x46631)),x46632)
% 184.29/184.09 [4664]~P85(x46641)+E(f775(f775(f82(x46641),x46642),f2(x46641)),x46642)
% 184.29/184.09 [4665]~P85(x46651)+E(f775(f775(f83(x46651),x46652),f80(x46651)),x46652)
% 184.29/184.09 [4666]~P70(x46661)+E(f775(f775(f83(x46661),x46662),f80(x46661)),x46662)
% 184.29/184.09 [4667]~P75(x46671)+E(f775(f775(f83(x46671),x46672),f80(x46671)),x46672)
% 184.29/184.09 [4668]~P7(x46681)+E(f775(f775(f43(x46681),x46682),f80(x46681)),x46682)
% 184.29/184.09 [4669]~P69(x46691)+E(f775(f775(f3(x46691),x46692),f2(x46691)),x46692)
% 184.29/184.09 [4670]~P113(x46701)+E(f775(f775(f283(x46701),x46702),f80(x46701)),x46702)
% 184.29/184.09 [4671]~P95(x46711)+E(f775(f775(f103(x46711),x46712),f180(x46711)),x46712)
% 184.29/184.09 [4672]~P94(x46721)+E(f775(f775(f104(x46721),x46722),f239(x46721)),x46722)
% 184.29/184.09 [4673]~P85(x46731)+E(f775(f775(f242(x46731),x46732),f2(a850)),f80(x46731))
% 184.29/184.09 [4674]~P105(x46741)+E(f775(f775(f242(x46741),x46742),f2(a850)),f80(x46741))
% 184.29/184.09 [4675]~E(x46752,f180(f857(x46751,a844)))+E(f775(f42(x46751),x46752),f2(a850))
% 184.29/184.09 [4686]~P7(x46861)+E(f52(x46861,x46862,f2(x46861)),x46862)
% 184.29/184.09 [4694]~P85(x46941)+E(f775(f775(f83(x46941),x46942),f2(x46941)),f2(x46941))
% 184.29/184.09 [4695]~P122(x46951)+E(f775(f775(f83(x46951),x46952),f2(x46951)),f2(x46951))
% 184.29/184.09 [4696]~P7(x46961)+E(f775(f775(f43(x46961),x46962),f2(x46961)),f2(x46961))
% 184.29/184.09 [4697]~P114(x46971)+E(f775(f775(f283(x46971),x46972),f2(x46971)),f2(x46971))
% 184.29/184.09 [4698]~P94(x46981)+E(f775(f775(f103(x46981),x46982),f239(x46981)),f239(x46981))
% 184.29/184.09 [4699]~P95(x46991)+E(f775(f775(f104(x46991),x46992),f180(x46991)),f180(x46991))
% 184.29/184.09 [4700]E(x47001,f183(x47002))+~E(f226(x47002,x47001),f180(f857(x47002,a844)))
% 184.29/184.09 [4701]~P7(x47011)+E(f52(x47011,x47012,f80(x47011)),f2(x47011))
% 184.29/184.09 [4702]~P7(x47021)+E(f52(x47021,f2(x47021),x47022),f2(x47021))
% 184.29/184.09 [4753]P36(x47531,x47532)+~E(f601(x47532,x47531),f180(f857(x47531,a844)))
% 184.29/184.09 [4754]E(x47541,f115(x47542))+~E(f775(f158(x47542),x47541),f180(f857(x47542,a844)))
% 184.29/184.09 [4755]E(x47551,f115(x47552))+~E(f180(f857(x47552,a844)),f775(f158(x47552),x47551))
% 184.29/184.09 [4758]~E(x47581,x47582)+P1(f775(f775(a330,x47581),x47582))
% 184.29/184.09 [4768]P1(x47681)+P1(f775(f775(a335,x47681),x47682))
% 184.29/184.09 [4769]E(x47691,f115(x47692))+E(f775(f775(f153(x47692),x47691),f2(a850)),f775(f131(x47692),x47691))
% 184.29/184.09 [4775]~P1(x47752)+P1(f775(f775(a335,x47751),x47752))
% 184.29/184.09 [4776]~P1(x47762)+P1(f775(f775(a332,x47761),x47762))
% 184.29/184.09 [4777]~P1(x47771)+P1(f775(f775(a332,x47771),x47772))
% 184.29/184.09 [4787]~E(f722(x47872,x47871),f726(x47872,x47871))+P1(f775(f127(x47871),x47872))
% 184.29/184.09 [4795]E(f775(f256(x47951),x47952),f180(f857(x47951,a844)))+P1(f775(x47952,f557(x47952)))
% 184.29/184.09 [4796]E(f180(f857(x47961,a844)),f775(f256(x47961),x47962))+P1(f775(x47962,f558(x47962)))
% 184.29/184.09 [4860]~P110(x48601)+E(f775(f775(f83(x48601),x48602),f84(x48601,x48602)),f775(f77(x48601),x48602))
% 184.29/184.09 [4872]~E(x48721,f2(a1))+E(f53(x48721,x48722),f775(f775(f241(a1,a1),f2(a1)),f2(a1)))
% 184.29/184.09 [4903]~P56(x49031,x49032)+P56(x49031,f775(f278(x49031,x49031),x49032))
% 184.29/184.09 [4920]~E(f775(a30,x49201),f775(f227(a845),x49202))+P1(f775(a26,f775(a27,x49201)))
% 184.29/184.09 [4924]E(x49241,x49242)+~P1(f775(f775(a330,x49241),x49242))
% 184.29/184.09 [4928]~P1(f775(a26,x49282))+P1(f775(a26,f35(x49281,x49282)))
% 184.29/184.09 [4937]P1(x49371)+~P1(f775(f775(a331,x49372),x49371))
% 184.29/184.09 [4938]P1(x49381)+~P1(f775(f775(a331,x49381),x49382))
% 184.29/184.09 [4942]~P106(x49421)+P1(f775(f775(f232(x49421),x49422),f239(x49421)))
% 184.29/184.09 [4943]~P85(x49431)+P1(f775(f775(f279(x49431),x49432),f2(x49431)))
% 184.29/184.09 [4947]E(x49471,x49472)+~E(f775(x49471,f373(x49472,x49471)),f775(x49472,f373(x49472,x49471)))
% 184.29/184.09 [4981]E(x49811,f2(a850))+E(f211(x49811,f52(a850,x49812,x49811)),f211(x49812,x49811))
% 184.29/184.09 [4986]~P100(x49861)+P18(x49861,f775(f775(f140(x49861),x49862),f115(x49861)))
% 184.29/184.09 [4988]E(x49881,f2(a1))+P1(f775(f56(x49882,x49881),f53(x49882,x49881)))
% 184.29/184.09 [5005]~E(x50051,x50052)+P1(f775(f775(f233(a850),x50051),f775(a114,x50052)))
% 184.29/184.09 [5015]~E(x50151,f2(a850))+P1(f775(f775(f233(a850),x50151),f775(a114,x50152)))
% 184.29/184.09 [5025]P1(f775(x50251,x50252))+P1(f775(f775(f232(a1),f2(a1)),f777(x50251)))
% 184.29/184.09 [5062]P1(f775(a26,x50621))+~P1(f775(a26,f35(x50622,x50621)))
% 184.29/184.09 [5064]P1(f775(a26,x50641))+~P1(f775(a26,f36(x50642,x50641)))
% 184.29/184.09 [5066]P1(f775(a26,x50661))+~P1(f775(a26,f36(x50661,x50662)))
% 184.29/184.09 [5094]P56(x50941,x50942)+~P56(x50941,f775(f278(x50941,x50941),x50942))
% 184.29/184.09 [5096]~E(f52(a850,x50962,x50961),f2(a850))+E(f775(f775(f83(a850),x50961),f789(x50961,x50962)),x50962)
% 184.29/184.09 [5097]~E(f52(a1,x50972,x50971),f2(a1))+E(f775(f775(f83(a1),x50971),f790(x50971,x50972)),x50972)
% 184.29/184.09 [5124]~P1(f775(x51241,x51242))+P1(f775(f775(f232(a1),f2(a1)),f759(x51241)))
% 184.29/184.09 [5135]E(f775(f775(f3(a850),f775(a107,x51351)),f775(a107,x51352)),f775(a107,x51351))+~P1(f775(a186,x51352))
% 184.29/184.09 [5163]E(f267(x51631,x51632),f80(a101))+~P1(f775(f775(f232(a101),x51631),f80(a101)))
% 184.29/184.09 [5252]E(f775(f775(f153(x52521),x52522),f722(x52522,x52521)),f775(f775(f153(x52521),x52522),f726(x52522,x52521)))+P1(f775(f127(x52521),x52522))
% 184.29/184.09 [5294]~P1(f775(x52941,f92(x52942,x52941)))+P1(f775(x52941,f602(x52942,x52941)))
% 184.29/184.09 [5357]P58(x53571,x53572)+~P1(f775(f321(x53571,x53572),f580(x53572,x53571)))
% 184.29/184.09 [5500]~E(f775(a114,f52(a850,x55001,x55002)),x55002)+E(f52(a850,f775(a114,x55001),x55002),f2(a850))
% 184.29/184.09 [5553]P36(x55531,x55532)+P1(f775(f775(f334(x55531),f681(x55532,x55531)),f682(x55532,x55531)))
% 184.29/184.09 [5559]~P2(x55591)+P1(f775(f775(f334(x55591),f775(f102(x55591),x55592)),f176(x55591)))
% 184.29/184.09 [5560]~P133(x55601)+P1(f775(f775(f334(x55601),f775(f102(x55601),x55602)),f112(x55601)))
% 184.29/184.09 [5561]~P133(x55611)+P1(f775(f775(f334(x55611),f775(f105(x55611),x55612)),f112(x55611)))
% 184.29/184.09 [5562]~P88(x55621)+P1(f775(f775(f334(x55621),f775(f106(x55621),x55622)),f112(x55621)))
% 184.29/184.09 [5716]E(f775(a114,f52(a850,x57161,x57162)),x57162)+E(f52(a850,f775(a114,x57161),x57162),f775(a114,f52(a850,x57161,x57162)))
% 184.29/184.09 [6137]P36(x61371,x61372)+~P1(f775(f775(f334(x61371),f582(x61372,x61371)),f322(x61371,x61372)))
% 184.29/184.09 [6171]~P117(x61711)+~P1(f775(f775(f233(x61711),f775(f102(x61711),x61712)),f2(x61711)))
% 184.29/184.09 [6172]~P79(x61721)+~P1(f775(f775(f233(x61721),f775(f77(x61721),x61722)),f2(x61721)))
% 184.29/184.09 [6264]P1(f775(f775(f233(a1),x62641),f52(a1,x62642,x62641)))+~P1(f775(f775(f233(a1),x62641),f2(a1)))
% 184.29/184.09 [6372]E(f775(f775(f302(a850),f775(a114,x63721)),f295(a850,x63722,x63721)),f295(a850,x63722,f775(a114,x63721)))+~P1(f775(f775(f232(a850),x63722),f775(a114,x63721)))
% 184.29/184.09 [6599]E(f775(f141(x65991),x65992),x65992)+~P1(f775(f775(f232(a850),f775(f181(f851(x65991)),x65992)),f80(a850)))
% 184.29/184.09 [6623]~P79(x66231)+P1(f775(f775(f232(x66231),f775(f81(x66231),f775(f77(x66231),x66232))),f2(x66231)))
% 184.29/184.09 [6659]~P36(x66591,x66592)+P36(x66591,f775(f775(f281(x66591,x66591,x66591),x66592),f300(x66591,x66592)))
% 184.29/184.09 [6892]~P1(f775(f775(f233(a1),x68922),f2(a1)))+P1(f775(f775(f232(a1),f52(a1,x68921,x68922)),f2(a1)))
% 184.29/184.09 [7305]~P2(x73051)+E(f182(x73051,f775(f775(f9(x73051,x73051,x73051),f82(x73051)),f80(x73051)),x73052,f2(x73051)),f775(f102(x73051),x73052))
% 184.29/184.09 [7338]~P118(x73381)+~P1(f775(f775(f233(x73381),f775(f775(f83(x73381),x73382),x73382)),f2(x73381)))
% 184.29/184.09 [9853]~P110(x98531)+~P1(f775(f775(f233(x98531),f775(f775(f242(x98531),x98532),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f2(x98531)))
% 184.29/184.09 [4567]~E(x45672,f115(x45671))+E(f775(f181(f851(x45671)),x45672),f2(a850))
% 184.29/184.09 [4606]~E(x46061,f2(a850))+E(f775(f775(f82(a850),x46061),x46062),x46062)
% 184.29/184.09 [4607]~E(x46072,f2(a850))+E(f775(f775(f83(a850),x46071),x46072),f2(a850))
% 184.29/184.09 [4609]~E(x46091,f2(a850))+E(f775(f775(f83(a850),x46091),x46092),f2(a850))
% 184.29/184.09 [4610]~E(x46102,f2(a1))+E(f775(f775(f43(a1),x46101),x46102),f2(a1))
% 184.29/184.09 [4611]~E(x46112,f2(a850))+E(f775(f775(f242(a850),x46111),x46112),f80(a850))
% 184.29/184.09 [4621]E(x46211,f115(x46212))+~E(f775(f181(f851(x46212)),x46211),f2(a850))
% 184.29/184.09 [4623]~P91(x46231)+E(f775(f775(f83(x46231),x46232),x46232),x46232)
% 184.29/184.09 [4625]~P100(x46251)+E(f775(f775(f236(x46251),x46252),x46252),x46252)
% 184.29/184.09 [4627]~P100(x46271)+E(f775(f775(f179(x46271),x46272),x46272),x46272)
% 184.29/184.09 [4629]~P92(x46291)+E(f775(f775(f103(x46291),x46292),x46292),x46292)
% 184.29/184.09 [4630]~P93(x46301)+E(f775(f775(f103(x46301),x46302),x46302),x46302)
% 184.29/184.09 [4631]~P93(x46311)+E(f775(f775(f104(x46311),x46312),x46312),x46312)
% 184.29/184.09 [4633]~P98(x46331)+E(f775(f775(f104(x46331),x46332),x46332),x46332)
% 184.29/184.09 [4649]~P69(x46491)+E(f775(f775(f3(x46491),x46492),x46492),f2(x46491))
% 184.29/184.09 [4660]~P69(x46601)+E(f775(f81(x46601),f775(f81(x46601),x46602)),x46602)
% 184.29/184.09 [4661]~P90(x46611)+E(f775(f81(x46611),f775(f81(x46611),x46612)),x46612)
% 184.29/184.09 [4678]~E(x46782,f2(a850))+E(f775(f775(f242(a850),x46781),x46782),f775(a114,f2(a850)))
% 184.29/184.09 [4710]~P66(x47101)+E(f775(f775(f82(x47101),f2(x47101)),x47102),x47102)
% 184.29/184.09 [4711]~P67(x47111)+E(f775(f775(f82(x47111),f2(x47111)),x47112),x47112)
% 184.29/184.09 [4712]~P85(x47121)+E(f775(f775(f82(x47121),f2(x47121)),x47122),x47122)
% 184.29/184.09 [4713]~P85(x47131)+E(f775(f775(f83(x47131),f80(x47131)),x47132),x47132)
% 184.29/184.09 [4714]~P70(x47141)+E(f775(f775(f83(x47141),f80(x47141)),x47142),x47142)
% 184.29/184.09 [4715]~P75(x47151)+E(f775(f775(f83(x47151),f80(x47151)),x47152),x47152)
% 184.29/184.09 [4716]~P95(x47161)+E(f775(f775(f103(x47161),f180(x47161)),x47162),x47162)
% 184.29/184.09 [4717]~P94(x47171)+E(f775(f775(f104(x47171),f239(x47171)),x47172),x47172)
% 184.29/184.09 [4734]~P85(x47341)+E(f775(f775(f83(x47341),f2(x47341)),x47342),f2(x47341))
% 184.29/184.09 [4735]~P122(x47351)+E(f775(f775(f83(x47351),f2(x47351)),x47352),f2(x47351))
% 184.29/184.09 [4736]~P7(x47361)+E(f775(f775(f43(x47361),f2(x47361)),x47362),f2(x47361))
% 184.29/184.09 [4737]~P75(x47371)+E(f775(f775(f242(x47371),f80(x47371)),x47372),f80(x47371))
% 184.29/184.09 [4738]~P113(x47381)+E(f775(f775(f283(x47381),f2(x47381)),x47382),f2(x47381))
% 184.29/184.09 [4739]~P94(x47391)+E(f775(f775(f103(x47391),f239(x47391)),x47392),f239(x47391))
% 184.29/184.09 [4740]~P95(x47401)+E(f775(f775(f104(x47401),f180(x47401)),x47402),f180(x47401))
% 184.29/184.09 [4748]E(x47481,f115(x47482))+E(f134(x47482,f775(f142(x47482),x47481)),f775(f131(x47482),x47481))
% 184.29/184.09 [4749]E(x47491,f115(x47492))+E(f775(f131(x47492),f775(f142(x47492),x47491)),f134(x47492,x47491))
% 184.29/184.09 [4750]E(x47501,f2(a850))+~E(f775(f775(f82(a850),x47502),x47501),x47502)
% 184.29/184.09 [4756]~P133(x47561)+E(f775(f105(x47561),f775(f102(a1),x47562)),f775(f102(x47561),x47562))
% 184.29/184.09 [4757]~P88(x47571)+E(f775(f105(x47571),f775(f106(a1),x47572)),f775(f106(x47571),x47572))
% 184.29/184.09 [4764]E(x47641,f2(a850))+~E(f775(f775(f82(a850),x47642),x47641),f2(a850))
% 184.29/184.09 [4765]E(x47651,f2(a850))+~E(f775(f775(f82(a850),x47651),x47652),f2(a850))
% 184.29/184.09 [4766]E(x47661,f80(a850))+~E(f775(f775(f83(a850),x47662),x47661),f80(a850))
% 184.29/184.09 [4767]E(x47671,f80(a850))+~E(f775(f775(f83(a850),x47671),x47672),f80(a850))
% 184.29/184.09 [4780]~P110(x47801)+E(f775(f77(x47801),f775(f102(x47801),x47802)),f775(f102(x47801),x47802))
% 184.29/184.09 [4781]~P79(x47811)+E(f775(f77(x47811),f775(f81(x47811),x47812)),f775(f77(x47811),x47812))
% 184.29/184.09 [4782]~P79(x47821)+E(f775(f77(x47821),f775(f77(x47821),x47822)),f775(f77(x47821),x47822))
% 184.29/184.09 [4783]~P66(x47831)+E(f775(f155(x47831),f775(f142(x47831),x47832)),f775(f155(x47831),x47832))
% 184.29/184.09 [4788]~E(x47881,f775(a114,f2(a850)))+E(f775(f775(f242(a850),x47881),x47882),f775(a114,f2(a850)))
% 184.29/184.09 [4798]~P69(x47981)+E(f775(f775(f3(x47981),f2(x47981)),x47982),f775(f81(x47981),x47982))
% 184.29/184.09 [4799]~E(x47992,f2(a850))+E(f130(a850,f775(f294(a850,x47991),x47992)),f115(a850))
% 184.29/184.09 [4808]~P88(x48081)+E(f775(f775(f82(x48081),x48082),f775(f106(x48081),a85)),x48082)
% 184.29/184.09 [4809]E(x48091,f2(a1))+E(f54(f775(f77(a1),x48092),f775(f77(a1),x48091)),f60(x48092,x48091))
% 184.29/184.09 [4821]~E(x48211,x48212)+P1(f775(f775(f232(a850),x48211),x48212))
% 184.29/184.09 [4825]~E(x48251,x48252)+P1(f775(f775(f279(a850),x48251),x48252))
% 184.29/184.09 [4832]~E(x48321,f2(a101))+E(f775(f775(f82(a850),f775(a22,x48321)),x48322),x48322)
% 184.29/184.09 [4833]~E(f775(f106(a1),x48332),f775(f102(a1),x48331))+E(x48331,f775(a107,f775(f106(a1),x48332)))
% 184.29/184.09 [4842]~P10(x48421)+P10(f775(f775(f242(a1),x48421),x48422))
% 184.29/184.09 [4843]~P69(x48431)+E(f775(f775(f82(x48431),x48432),f775(f81(x48431),x48432)),f2(x48431))
% 184.29/184.09 [4844]~P90(x48441)+E(f775(f775(f103(x48441),x48442),f775(f81(x48441),x48442)),f239(x48441))
% 184.29/184.09 [4845]~P90(x48451)+E(f775(f775(f104(x48451),x48452),f775(f81(x48451),x48452)),f180(x48451))
% 184.29/184.09 [4869]E(x48691,f2(a850))+~E(f775(f81(a1),f775(f102(a1),x48692)),f775(f102(a1),x48691))
% 184.29/184.09 [4870]E(x48701,f2(a850))+~E(f775(f81(a1),f775(f102(a1),x48701)),f775(f102(a1),x48702))
% 184.29/184.09 [4880]E(f188(x48801,x48802),f2(a1))+P1(f775(f775(f232(a1),x48802),x48801))
% 184.29/184.09 [4881]E(f238(x48811,x48812),f2(a101))+P1(f775(f775(f233(a101),x48811),x48812))
% 184.29/184.09 [4882]E(f163(x48821,x48822),f115(a1))+P1(f775(f775(f232(a1),x48821),x48822))
% 184.29/184.09 [4895]E(x48951,f775(a114,f2(a850)))+~E(f775(f775(f83(a850),x48952),x48951),f775(a114,f2(a850)))
% 184.29/184.09 [4896]E(x48961,f775(a114,f2(a850)))+~E(f775(f775(f83(a850),x48961),x48962),f775(a114,f2(a850)))
% 184.29/184.09 [4897]~P103(x48971)+P1(f775(f775(f232(x48971),x48972),x48972))
% 184.29/184.09 [4898]~P85(x48981)+P1(f775(f775(f279(x48981),x48982),x48982))
% 184.29/184.09 [4901]~P88(x49011)+E(f775(f775(f83(x49011),x49012),f775(f106(x49011),a99)),f775(f81(x49011),x49012))
% 184.29/184.09 [4917]~P133(x49171)+E(f775(f81(x49171),f775(f105(x49171),x49172)),f775(f105(x49171),f775(f81(a1),x49172)))
% 184.29/184.09 [4918]~P88(x49181)+E(f775(f81(x49181),f775(f106(x49181),x49182)),f775(f106(x49181),f775(f81(a1),x49182)))
% 184.29/184.09 [4952]~E(x49521,f775(a114,x49522))+P1(f775(f775(f233(a850),f2(a850)),x49521))
% 184.29/184.09 [4969]~P100(x49691)+E(f775(f81(f857(x49691,a844)),f775(f257(x49691),x49692)),f775(f258(x49691),x49692))
% 184.29/184.09 [4970]~P100(x49701)+E(f775(f81(f857(x49701,a844)),f775(f296(x49701),x49702)),f775(f293(x49701),x49702))
% 184.29/184.09 [4971]~P100(x49711)+E(f775(f81(f857(x49711,a844)),f775(f293(x49711),x49712)),f775(f296(x49711),x49712))
% 184.29/184.09 [4972]~P100(x49721)+E(f775(f81(f857(x49721,a844)),f775(f258(x49721),x49722)),f775(f257(x49721),x49722))
% 184.29/184.09 [4980]~E(f775(f102(a1),x49802),x49801)+P1(f775(f775(f232(a1),f2(a1)),x49801))
% 184.29/184.09 [4987]~E(x49872,f2(a1))+E(f60(x49871,x49872),f775(f775(f241(a1,a1),f2(a1)),f775(f77(a1),x49871)))
% 184.29/184.09 [4989]~P101(x49891)+P1(f775(f775(f232(x49891),f180(x49891)),x49892))
% 184.29/184.09 [4990]~P85(x49901)+P1(f775(f775(f279(x49901),f80(x49901)),x49902))
% 184.29/184.09 [5020]E(x50201,x50202)+~E(f775(f775(f82(a1),x50201),x50201),f775(f775(f82(a1),x50202),x50202))
% 184.29/184.09 [5024]~P1(f775(x50241,x50242))+P1(f775(x50241,f775(a107,f759(x50241))))
% 184.29/184.09 [5050]~P110(x50501)+E(f775(f775(f83(x50501),f84(x50501,x50502)),f775(f77(x50501),x50502)),x50502)
% 184.29/184.09 [5051]E(x50511,x50512)+~P1(f775(f775(f187(a25),x50511),x50512))
% 184.29/184.09 [5060]~E(x50602,f2(a850))+E(f87(f856(a850,a850),f55(x50601,x50602)),f775(f775(f241(a850,a850),f2(a850)),x50601))
% 184.29/184.09 [5071]~E(x50711,x50712)+~P1(f775(f775(f233(a850),x50711),x50712))
% 184.29/184.09 [5072]~E(x50721,x50722)+~P1(f775(f775(f233(a1),x50721),x50722))
% 184.29/184.09 [5075]~P2(x50751)+E(f775(f775(f82(x50751),f80(x50751)),f775(f102(x50751),x50752)),f775(f102(x50751),f775(a114,x50752)))
% 184.29/184.09 [5079]~E(x50791,f2(a850))+~P1(f775(f775(f233(a850),x50792),x50791))
% 184.29/184.09 [5092]E(f775(f42(x50921),f775(f158(x50921),x50922)),f775(f181(f851(x50921)),x50922))+~P1(f775(f127(x50921),x50922))
% 184.29/184.09 [5101]~P1(f775(x51011,f727(x51011)))+P1(f775(x51011,f775(f102(a1),x51012)))
% 184.29/184.09 [5113]E(f238(x51131,x51132),x51132)+~P1(f775(f775(f233(a101),x51131),x51132))
% 184.29/184.09 [5115]E(f267(x51151,x51152),f80(a101))+~P1(f775(f775(f233(a101),x51152),x51151))
% 184.29/184.09 [5116]E(f163(x51161,x51162),f115(a1))+~P1(f775(f775(f233(a1),x51162),x51161))
% 184.29/184.09 [5119]~P99(x51191)+E(f295(x51191,x51192,x51192),f775(f775(f302(x51191),x51192),f180(f857(x51191,a844))))
% 184.29/184.09 [5138]~E(f775(f775(f3(a850),x51381),x51382),f2(a850))+P1(f775(f775(f232(a850),x51381),x51382))
% 184.29/184.09 [5164]~P103(x51641)+~P1(f775(f775(f233(x51641),x51642),x51642))
% 184.29/184.09 [5167]~E(f52(a1,x51671,x51672),f2(a1))+E(f52(a1,x51671,f775(f81(a1),x51672)),f2(a1))
% 184.29/184.09 [5169]~E(f52(a1,x51691,x51692),f2(a1))+E(f52(a1,f775(f81(a1),x51691),x51692),f2(a1))
% 184.29/184.09 [5176]E(f775(f294(a850,x51761),f775(a114,x51762)),f180(f857(a850,a844)))+P1(f775(f775(f232(a850),x51761),x51762))
% 184.29/184.09 [5193]E(f130(a850,f775(f294(a850,x51931),x51932)),f115(a850))+P1(f775(f775(f233(a850),x51931),x51932))
% 184.29/184.09 [5198]~E(f775(f42(x51981),f775(f158(x51981),x51982)),f775(f181(f851(x51981)),x51982))+P1(f775(f127(x51981),x51982))
% 184.29/184.09 [5202]~P1(f775(f127(x52021),x52022))+P1(f775(f127(x52021),f775(f141(x52021),x52022)))
% 184.29/184.09 [5203]~P1(f775(f127(x52031),x52032))+P1(f775(f127(x52031),f775(f157(x52031),x52032)))
% 184.29/184.09 [5204]~P1(f775(f127(x52041),x52042))+P1(f775(f127(x52041),f775(f142(x52041),x52042)))
% 184.29/184.09 [5212]P1(f775(x52121,x52122))+~P1(f775(x52121,f775(a107,f777(x52121))))
% 184.29/184.09 [5213]P1(f775(f775(f232(a850),x52132),x52131))+P1(f775(f775(f232(a850),x52131),x52132))
% 184.29/184.09 [5214]P1(f775(f775(f232(a1),x52142),x52141))+P1(f775(f775(f232(a1),x52141),x52142))
% 184.29/184.09 [5216]~P79(x52161)+P1(f775(f775(f232(x52161),x52162),f775(f77(x52161),x52162)))
% 184.29/184.09 [5219]P1(f775(x52191,f728(x52191)))+~P1(f775(x52191,f775(f102(a1),x52192)))
% 184.29/184.09 [5243]E(f775(f775(f43(a850),x52431),x52432),f2(a850))+~P1(f775(f775(f233(a850),x52431),x52432))
% 184.29/184.09 [5245]E(f775(f775(f3(a850),x52451),x52452),f2(a850))+~P1(f775(f775(f232(a850),x52451),x52452))
% 184.29/184.09 [5262]E(f52(a850,x52621,x52622),x52621)+~P1(f775(f775(f233(a850),x52621),x52622))
% 184.29/184.09 [5269]E(f52(a1,x52691,f775(f81(a1),x52692)),f284(x52691,x52692))+P1(f775(f775(f232(a1),f2(a1)),x52692))
% 184.29/184.09 [5282]E(f775(f775(f3(a1),x52821),x52822),f188(x52821,x52822))+~P1(f775(f775(f232(a1),x52822),x52821))
% 184.29/184.09 [5300]P1(f775(f775(f232(a1),f2(a1)),f727(x53001)))+P1(f775(x53001,f775(f102(a1),x53002)))
% 184.29/184.09 [5313]~P117(x53131)+P1(f775(f775(f232(x53131),f2(x53131)),f775(f102(x53131),x53132)))
% 184.29/184.09 [5314]~P79(x53141)+P1(f775(f775(f232(x53141),f2(x53141)),f775(f77(x53141),x53142)))
% 184.29/184.09 [5342]E(f775(f775(f82(a850),x53421),f680(x53422,x53421)),x53422)+~P1(f775(f775(f232(a850),x53421),x53422))
% 184.29/184.09 [5343]E(f775(f775(f82(a850),x53431),f603(x53432,x53431)),x53432)+~P1(f775(f775(f233(a850),x53431),x53432))
% 184.29/184.09 [5355]~E(f775(f106(a1),x53551),f775(f102(a1),x53552))+P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x53551)))
% 184.29/184.09 [5358]E(f295(a1,x53581,x53582),f180(f857(a1,a844)))+~P1(f775(f775(f233(a1),x53582),x53581))
% 184.29/184.09 [5361]~P110(x53611)+E(f775(f775(f83(x53611),f775(f77(x53611),x53612)),f775(f77(x53611),x53612)),f775(f775(f83(x53611),x53612),x53612))
% 184.29/184.09 [5366]E(f130(a850,f775(f294(a850,x53661),f775(a114,x53662))),f115(a850))+P1(f775(f775(f232(a850),x53661),x53662))
% 184.29/184.09 [5370]E(f775(f775(f43(a1),x53701),x53702),f285(x53701,x53702))+~P1(f775(f775(f232(a1),f2(a1)),x53702))
% 184.29/184.09 [5390]P1(f775(f127(x53901),x53902))+~P1(f775(f127(x53901),f775(f141(x53901),x53902)))
% 184.29/184.09 [5391]P1(f775(f127(x53911),x53912))+~P1(f775(f127(x53911),f775(f142(x53911),x53912)))
% 184.29/184.09 [5414]P1(f775(f63(a850),x54141))+P1(f775(f775(f334(a850),f375(x54141,x54142)),x54141))
% 184.29/184.09 [5415]P1(f775(f63(a850),x54151))+P1(f775(f775(f334(a850),f400(x54151,x54152)),x54151))
% 184.29/184.09 [5416]P1(f775(f775(f233(a850),x54162),f775(a114,x54161)))+P1(f775(f775(f233(a850),x54161),x54162))
% 184.29/184.09 [5417]E(f52(a1,x54171,x54172),f284(x54171,x54172))+~P1(f775(f775(f232(a1),f2(a1)),x54172))
% 184.29/184.09 [5420]E(f130(a850,f775(f294(a850,x54201),x54202)),f115(a850))+~P1(f775(f775(f232(a850),x54202),x54201))
% 184.29/184.09 [5421]~P77(x54211)+E(f775(f303(x54211,x54211,f81(x54211)),f775(f257(x54211),x54212)),f775(f296(x54211),f775(f81(x54211),x54212)))
% 184.29/184.09 [5422]~P77(x54221)+E(f775(f303(x54221,x54221,f81(x54221)),f775(f296(x54221),x54222)),f775(f257(x54221),f775(f81(x54221),x54222)))
% 184.29/184.09 [5423]~P77(x54231)+E(f775(f303(x54231,x54231,f81(x54231)),f775(f293(x54231),x54232)),f775(f258(x54231),f775(f81(x54231),x54232)))
% 184.29/184.09 [5424]~P77(x54241)+E(f775(f303(x54241,x54241,f81(x54241)),f775(f258(x54241),x54242)),f775(f293(x54241),f775(f81(x54241),x54242)))
% 184.29/184.09 [5435]E(x54351,f180(f857(x54352,a844)))+P1(f775(f775(f334(x54352),f402(x54351,x54352)),x54351))
% 184.29/184.09 [5436]E(x54361,f180(f857(x54362,a844)))+P1(f775(f775(f334(x54362),f403(x54361,x54362)),x54361))
% 184.29/184.09 [5447]~P1(f775(f775(f233(a850),x54471),x54472))+P1(f775(f775(f232(a850),x54471),x54472))
% 184.29/184.09 [5448]~P1(f775(f775(f233(a1),x54481),x54482))+P1(f775(f775(f232(a1),x54481),x54482))
% 184.29/184.09 [5460]E(f54(x54601,x54602),f775(f775(f241(a1,a1),f2(a1)),x54601))+~P1(f775(f775(f233(a1),x54601),x54602))
% 184.29/184.09 [5461]E(f210(f775(f81(a1),x54611),f775(f81(a1),x54612)),f210(x54611,x54612))+~P1(f775(f775(f233(a1),x54612),f2(a1)))
% 184.29/184.09 [5474]E(x54741,x54742)+~E(f775(a5,f775(a114,f775(a22,x54741))),f775(a5,f775(a114,f775(a22,x54742))))
% 184.29/184.09 [5479]E(f54(x54791,x54792),f775(f775(f241(a1,a1),f2(a1)),x54791))+~P1(f775(f775(f232(a1),x54792),f2(a1)))
% 184.29/184.09 [5506]E(f52(a850,f775(f106(a850),x55061),f775(f106(a850),x55062)),f2(a850))+~P1(f775(a186,f775(f106(a1),x55061)))
% 184.29/184.09 [5520]P1(f775(f775(f232(a1),f2(a1)),f728(x55201)))+~P1(f775(x55201,f775(f102(a1),x55202)))
% 184.29/184.09 [5551]P38(f295(a1,x55511,x55512))+~P1(f775(f775(f232(a1),f2(a1)),x55511))
% 184.29/184.09 [5555]~P1(f775(f63(x55551),x55552))+P1(f775(f63(f857(x55551,a844)),f775(f301(x55551),x55552)))
% 184.29/184.09 [5568]E(f775(f775(f82(a1),x55681),f775(f102(a1),f791(x55682,x55681))),x55682)+~P1(f775(f775(f232(a1),x55681),x55682))
% 184.29/184.09 [5576]P1(f775(f775(f232(a850),x55761),x55762))+P1(f775(f775(f232(a850),f775(a114,x55762)),x55761))
% 184.29/184.09 [5621]E(f775(f775(f43(a850),f775(f106(a850),x56211)),f775(f106(a850),x56212)),f2(a850))+~P1(f775(a186,f775(f106(a1),x56211)))
% 184.29/184.09 [5622]E(f775(f775(f83(a850),f775(f106(a850),x56221)),f775(f106(a850),x56222)),f2(a850))+~P1(f775(f775(f233(a1),x56221),a85))
% 184.29/184.09 [5624]P1(f775(f775(f233(a850),x56241),f775(a114,x56242)))+~P1(f775(f775(f233(a850),x56241),x56242))
% 184.29/184.09 [5626]P1(f775(f775(f233(a850),x56261),f775(a114,x56262)))+~P1(f775(f775(f232(a850),x56261),x56262))
% 184.29/184.09 [5628]P1(f775(f775(f232(a850),x56281),f775(a114,x56282)))+~P1(f775(f775(f232(a850),x56281),x56282))
% 184.29/184.09 [5629]~E(x56291,x56292)+P1(f775(f775(f233(a1),x56291),f775(f775(f82(a1),x56292),f80(a1))))
% 184.29/184.09 [5632]E(f52(a1,x56321,x56322),f2(a1))+E(f775(f775(f3(a1),x56322),f52(a1,x56321,x56322)),f52(a1,f775(f81(a1),x56321),x56322))
% 184.29/184.09 [5640]E(x56401,f115(x56402))+P1(f775(f775(f334(x56402),f134(x56402,x56401)),f775(f158(x56402),x56401)))
% 184.29/184.09 [5652]E(f87(f856(a850,a850),f55(x56521,x56522)),f775(f775(f241(a850,a850),f2(a850)),x56521))+~P1(f775(f775(f233(a850),x56521),x56522))
% 184.29/184.09 [5692]E(f775(f775(f82(a850),f775(f106(a850),x56921)),f775(f106(a850),x56922)),f775(f106(a850),x56922))+~P1(f775(f775(f233(a1),x56921),a85))
% 184.29/184.09 [5693]E(f775(f775(f3(a850),f775(f106(a850),x56931)),f775(f106(a850),x56932)),f775(f106(a850),x56931))+~P1(f775(f775(f233(a1),x56932),a85))
% 184.29/184.09 [5698]E(f775(a114,f775(f775(f82(a850),x56981),f581(x56982,x56981))),x56982)+~P1(f775(f775(f233(a850),x56981),x56982))
% 184.29/184.09 [5699]E(f775(a114,f775(f775(f82(a850),x56991),f604(x56992,x56991))),x56992)+~P1(f775(f775(f233(a850),x56991),x56992))
% 184.29/184.09 [5706]~P1(f775(f775(f279(a1),x57061),x57062))+P1(f775(f775(f279(a1),x57061),f775(f81(a1),x57062)))
% 184.29/184.09 [5707]P1(f775(f775(f233(a850),f2(a850)),f603(x57071,x57072)))+~P1(f775(f775(f233(a850),x57072),x57071))
% 184.29/184.09 [5726]P1(f775(x57261,x57262))+~P1(f775(x57261,f775(a91,f605(x57262,x57261))))
% 184.29/184.09 [5734]~P1(f775(f775(f233(a850),x57341),f775(a114,x57342)))+P1(f775(f775(f232(a850),x57341),x57342))
% 184.29/184.09 [5783]E(f775(f775(f302(a850),x57831),f775(f294(a850,x57832),x57831)),f775(f294(a850,x57832),f775(a114,x57831)))+~P1(f775(f775(f232(a850),x57832),x57831))
% 184.29/184.09 [5788]E(x57881,f115(x57882))+E(f775(f775(f125(x57882),f116(x57882,x57881)),f775(f775(f140(x57882),f134(x57882,x57881)),f115(x57882))),x57881)
% 184.29/184.09 [5799]P1(f775(f63(x57991),x57992))+~P1(f775(f775(f233(a850),f2(a850)),f775(f42(x57991),x57992)))
% 184.29/184.09 [5803]~E(x58031,f180(f857(x58032,a844)))+~P1(f775(f775(f233(a850),f2(a850)),f775(f42(x58032),x58031)))
% 184.29/184.09 [5813]~P1(f775(f775(f233(a850),x58131),x58132))+P1(f775(f775(f232(a850),f775(a114,x58131)),x58132))
% 184.29/184.09 [5821]E(x58211,f115(x58212))+P1(f775(f775(f334(x58212),f775(f131(x58212),x58211)),f775(f158(x58212),x58211)))
% 184.29/184.09 [5827]~P117(x58271)+P1(f775(f775(f233(x58271),x58272),f775(f775(f82(x58271),x58272),f80(x58271))))
% 184.29/184.09 [5829]~P79(x58291)+P1(f775(f775(f232(x58291),f775(f81(x58291),x58292)),f775(f77(x58291),x58292)))
% 184.29/184.09 [5841]P1(f775(f775(f279(a1),x58411),x58412))+~P1(f775(f775(f279(a1),x58411),f775(f81(a1),x58412)))
% 184.29/184.09 [5842]~E(x58421,x58422)+E(f282(a850,f279(a850),x58421,x58422),f775(f775(f302(a850),x58421),f180(f857(a850,a844))))
% 184.29/184.09 [5860]P1(f775(f63(a850),x58601))+~P1(f775(f775(f233(a850),f400(x58601,x58602)),x58602))
% 184.29/184.09 [5861]P1(f775(f63(a850),x58611))+~P1(f775(f775(f232(a850),f375(x58611,x58612)),x58612))
% 184.29/184.09 [5865]~P1(f775(f63(f856(x58651,x58651)),x58652))+P1(f775(f63(x58651),f775(f276(x58651),x58652)))
% 184.29/184.09 [5916]E(f282(a850,f279(a850),x59161,x59162),f180(f857(a850,a844)))+P1(f775(f775(f279(a850),x59161),x59162))
% 184.29/184.09 [5922]~P1(f775(f775(f233(a850),x59222),f775(a114,x59221)))+~P1(f775(f775(f233(a850),x59221),x59222))
% 184.29/184.09 [5923]~P99(x59231)+E(f775(f775(f104(f857(x59231,a844)),f775(f293(x59231),x59232)),f775(f258(x59231),x59232)),f775(f775(f302(x59231),x59232),f180(f857(x59231,a844))))
% 184.29/184.09 [5936]P1(f775(f63(x59361),x59362))+~P1(f775(f63(f857(x59361,a844)),f775(f301(x59361),x59362)))
% 184.29/184.09 [5960]P1(f775(f775(f233(a850),f775(a114,x59601)),f775(a114,x59602)))+~P1(f775(f775(f233(a850),x59601),x59602))
% 184.29/184.09 [5961]P1(f775(f775(f233(a850),f775(a22,x59611)),f775(a22,x59612)))+~P1(f775(f775(f233(a101),x59611),x59612))
% 184.29/184.09 [5962]P1(f775(f775(f233(a101),f775(a5,x59621)),f775(a5,x59622)))+~P1(f775(f775(f233(a850),x59621),x59622))
% 184.29/184.09 [5963]P1(f775(f775(f232(a850),f775(a114,x59631)),f775(a114,x59632)))+~P1(f775(f775(f232(a850),x59631),x59632))
% 184.29/184.09 [5964]P1(f775(f775(f232(a850),f775(a22,x59641)),f775(a22,x59642)))+~P1(f775(f775(f232(a101),x59641),x59642))
% 184.29/184.09 [5965]P1(f775(f775(f232(a101),f775(a5,x59651)),f775(a5,x59652)))+~P1(f775(f775(f232(a850),x59651),x59652))
% 184.29/184.09 [5968]E(x59681,x59682)+~E(f775(f303(a850,a1,f102(a1)),x59681),f775(f303(a850,a1,f102(a1)),x59682))
% 184.29/184.09 [5984]P1(f775(f775(f233(a850),x59841),x59842))+~P1(f775(f775(f233(a850),f775(a114,x59841)),x59842))
% 184.29/184.09 [5987]P1(f775(f775(f233(a850),x59871),x59872))+~P1(f775(f775(f232(a850),f775(a114,x59871)),x59872))
% 184.29/184.09 [5988]P1(f775(f775(f232(a850),x59881),x59882))+~P1(f775(f775(f232(a850),f775(a114,x59881)),x59882))
% 184.29/184.09 [6005]E(f52(a1,x60051,x60052),f2(a1))+E(f775(f775(f3(a1),f52(a1,x60051,x60052)),x60052),f52(a1,x60051,f775(f81(a1),x60052)))
% 184.29/184.09 [6076]E(f775(f42(f857(x60761,a844)),f775(f301(x60761),x60762)),f775(f775(f242(a850),f775(a114,f775(a114,f2(a850)))),f775(f42(x60761),x60762)))+~P1(f775(f63(x60761),x60762))
% 184.29/184.09 [6079]E(x60791,f115(x60792))+E(f775(f775(f153(x60792),x60791),f775(f775(f3(a850),f775(f181(f851(x60792)),x60791)),f80(a850))),f134(x60792,x60791))
% 184.29/184.09 [6103]E(x61031,f115(x61032))+E(f775(f775(f125(x61032),f775(f157(x61032),x61031)),f775(f775(f140(x61032),f775(f131(x61032),x61031)),f115(x61032))),f775(f141(x61032),x61031))
% 184.29/184.09 [6134]~P1(f775(f63(x61341),f44(f857(x61341,a844),x61342)))+P1(f775(f63(f857(x61341,a844)),x61342))
% 184.29/184.09 [6155]P1(f775(f775(f232(a850),f775(f106(a850),x61551)),f775(f106(a850),x61552)))+~P1(f775(f775(f232(a1),x61551),a85))
% 184.29/184.09 [6175]~P1(f775(f775(f233(a1),x61751),x61752))+P1(f775(f775(f233(a1),x61751),f775(f775(f82(a1),x61752),f80(a1))))
% 184.29/184.09 [6176]~P1(f775(f775(f232(a1),x61761),x61762))+P1(f775(f775(f233(a1),x61761),f775(f775(f82(a1),x61762),f80(a1))))
% 184.29/184.09 [6177]~P1(f775(f775(f233(a1),x61771),x61772))+P1(f775(f775(f232(a1),x61771),f775(f775(f3(a1),x61772),f80(a1))))
% 184.29/184.09 [6180]~P1(f775(f775(f233(a850),x61801),x61802))+P1(f775(f775(f233(a1),f775(f102(a1),x61801)),f775(f102(a1),x61802)))
% 184.29/184.09 [6181]~P1(f775(f775(f233(a1),x61811),x61812))+P1(f775(f775(f233(a1),f775(f106(a1),x61811)),f775(f106(a1),x61812)))
% 184.29/184.09 [6182]~P1(f775(f775(f232(a1),x61821),x61822))+P1(f775(f775(f232(a850),f775(f106(a850),x61821)),f775(f106(a850),x61822)))
% 184.29/184.09 [6184]~P1(f775(f775(f232(a850),x61841),x61842))+P1(f775(f775(f232(a1),f775(f102(a1),x61841)),f775(f102(a1),x61842)))
% 184.29/184.09 [6185]~P1(f775(f775(f232(a1),x61851),x61852))+P1(f775(f775(f232(a1),f775(f106(a1),x61851)),f775(f106(a1),x61852)))
% 184.29/184.09 [6187]~P1(f775(f775(f279(a850),x61871),x61872))+P1(f775(f775(f279(a1),f775(f102(a1),x61871)),f775(f102(a1),x61872)))
% 184.29/184.09 [6203]~P1(f775(f775(f232(a850),x62031),x62032))+~P1(f775(f775(f232(a850),f775(a114,x62032)),x62031))
% 184.29/184.09 [6251]~P1(f775(f775(f233(a850),f775(a114,x62511)),f775(a114,x62512)))+P1(f775(f775(f233(a850),x62511),x62512))
% 184.29/184.09 [6252]~P1(f775(f775(f233(a101),f775(a5,x62521)),f775(a5,x62522)))+P1(f775(f775(f233(a850),x62521),x62522))
% 184.29/184.09 [6253]~P1(f775(f775(f233(a850),f775(a107,x62531)),f775(a107,x62532)))+P1(f775(f775(f233(a1),x62531),x62532))
% 184.29/184.09 [6254]~P1(f775(f775(f233(a850),f775(a22,x62541)),f775(a22,x62542)))+P1(f775(f775(f233(a101),x62541),x62542))
% 184.29/184.09 [6255]~P1(f775(f775(f232(a850),f775(a114,x62551)),f775(a114,x62552)))+P1(f775(f775(f232(a850),x62551),x62552))
% 184.29/184.09 [6256]~P1(f775(f775(f232(a101),f775(a5,x62561)),f775(a5,x62562)))+P1(f775(f775(f232(a850),x62561),x62562))
% 184.29/184.09 [6257]~P1(f775(f775(f232(a850),f775(a22,x62571)),f775(a22,x62572)))+P1(f775(f775(f232(a101),x62571),x62572))
% 184.29/184.09 [6301]~P1(f775(f775(f233(a850),f775(a107,x63012)),f775(a107,x63011)))+P1(f775(f775(f233(a1),f2(a1)),x63011))
% 184.29/184.09 [6312]~E(f52(a1,f775(f106(a1),x63122),f775(f106(a1),x63121)),f2(a1))+P1(f775(f775(f279(a1),f775(f106(a1),x63121)),f775(f106(a1),x63122)))
% 184.29/184.09 [6331]P1(f775(f775(f232(a1),f2(a1)),f52(a1,x63311,x63312)))+~P1(f775(f775(f233(a1),f2(a1)),x63312))
% 184.29/184.09 [6500]P36(x65001,x65002)+~E(f775(f775(f281(x65001,x65001,x65001),x65002),x65002),f180(f857(f856(x65001,x65001),a844)))
% 184.29/184.09 [6516]~P36(x65161,x65162)+P36(x65161,f775(f775(f281(x65161,x65161,x65161),x65162),x65162))
% 184.29/184.09 [6528]P1(f775(f775(f233(a1),x65281),x65282))+~P1(f775(f775(f232(a1),x65281),f775(f775(f3(a1),x65282),f80(a1))))
% 184.29/184.09 [6529]P1(f775(f775(f232(a1),x65291),x65292))+~P1(f775(f775(f233(a1),x65291),f775(f775(f82(a1),x65292),f80(a1))))
% 184.29/184.09 [6532]P1(f775(f775(f233(a850),x65321),x65322))+~P1(f775(f775(f233(a1),f775(f102(a1),x65321)),f775(f102(a1),x65322)))
% 184.29/184.09 [6533]P1(f775(f775(f233(a1),x65331),x65332))+~P1(f775(f775(f233(a850),f775(f106(a850),x65331)),f775(f106(a850),x65332)))
% 184.29/184.09 [6534]P1(f775(f775(f233(a1),x65341),x65342))+~P1(f775(f775(f233(a1),f775(f106(a1),x65341)),f775(f106(a1),x65342)))
% 184.29/184.09 [6536]P1(f775(f775(f232(a850),x65361),x65362))+~P1(f775(f775(f232(a1),f775(f102(a1),x65361)),f775(f102(a1),x65362)))
% 184.29/184.09 [6537]P1(f775(f775(f232(a1),x65371),x65372))+~P1(f775(f775(f232(a1),f775(f106(a1),x65371)),f775(f106(a1),x65372)))
% 184.29/184.09 [6539]P1(f775(f775(f279(a850),x65391),x65392))+~P1(f775(f775(f279(a1),f775(f102(a1),x65391)),f775(f102(a1),x65392)))
% 184.29/184.09 [6595]E(f52(a1,f775(f106(a1),x65951),f775(f106(a1),x65952)),f2(a1))+~P1(f775(f775(f279(a1),f775(f106(a1),x65952)),f775(f106(a1),x65951)))
% 184.29/184.09 [6610]~E(f282(a850,f279(a850),x66101,x66102),f180(f857(a850,a844)))+~P1(f775(f775(f279(a850),x66101),x66102))
% 184.29/184.09 [6639]~E(f768(x66392,x66391),f115(x66391))+E(f775(f132(f851(x66391),f851(x66391),f125(x66391),f115(x66391)),x66392),f115(x66391))
% 184.29/184.09 [6640]~E(f769(x66402,x66401),f115(x66401))+E(f775(f132(f851(x66401),f851(x66401),f125(x66401),f115(x66401)),x66402),f115(x66401))
% 184.29/184.09 [6647]~P9(x66471)+E(f775(f132(x66471,x66471,f104(x66471),f239(x66471)),x66472),f45(x66471,f775(f158(x66471),x66472)))
% 184.29/184.09 [6648]~P9(x66481)+E(f775(f132(x66481,x66481,f103(x66481),f180(x66481)),x66482),f44(x66481,f775(f158(x66481),x66482)))
% 184.29/184.09 [6660]E(x66601,f2(a101))+E(f775(f775(f82(a850),f775(a22,f775(f775(f3(a101),x66601),f80(a101)))),f775(a114,x66602)),f775(f775(f82(a850),f775(a22,x66601)),x66602))
% 184.29/184.09 [6713]P1(f775(f775(f233(a1),f775(f775(f3(a1),x67131),x67132)),f2(a1)))+~P1(f775(f775(f233(a1),x67131),x67132))
% 184.29/184.09 [6741]~P100(x67411)+E(f775(f775(f103(f857(x67411,a844)),f775(f775(f302(x67411),x67412),f180(f857(x67411,a844)))),f775(f296(x67411),x67412)),f775(f258(x67411),x67412))
% 184.29/184.09 [6823]~P58(x68231,x68232)+P36(x68231,f775(f256(f856(x68231,x68231)),f775(f251(x68231,x68231,a844),x68232)))
% 184.29/184.09 [6824]~P58(x68241,x68242)+P56(x68241,f775(f256(f856(x68241,x68241)),f775(f251(x68241,x68241,a844),x68242)))
% 184.29/184.09 [6825]E(x68251,f180(f857(x68252,a844)))+~P1(f775(f775(f232(f857(x68252,a844)),x68251),f180(f857(x68252,a844))))
% 184.29/184.09 [6910]~P1(f775(f775(f233(a850),f2(a850)),x69102))+P1(f775(f775(f233(a850),f52(a850,x69101,x69102)),x69102))
% 184.29/184.09 [6912]~P1(f775(f775(f233(a1),f2(a1)),x69122))+P1(f775(f775(f233(a1),f52(a1,x69121,x69122)),x69122))
% 184.29/184.09 [6913]~P1(f775(f775(f233(a850),f2(a850)),x69132))+P1(f775(f775(f232(a850),f52(a850,x69131,x69132)),x69132))
% 184.29/184.09 [6914]~P1(f775(f775(f232(a1),f2(a1)),x69141))+P1(f775(f775(f232(a1),f52(a1,x69141,x69142)),x69141))
% 184.29/184.09 [6987]~P99(x69871)+E(f775(f775(f3(f857(x69871,a844)),f775(f775(f302(x69871),x69872),f180(f857(x69871,a844)))),f775(f257(x69871),x69872)),f775(f775(f302(x69871),x69872),f180(f857(x69871,a844))))
% 184.29/184.09 [7066]~P49(x70661,x70662)+P47(x70661,f239(f857(x70661,a844)),f775(f256(f856(x70661,x70661)),f775(f251(x70661,x70661,a844),x70662)))
% 184.29/184.09 [7067]P1(f775(x70671,x70672))+P1(f775(f775(f334(f857(f856(a850,a850),a844)),f605(x70672,x70671)),a100))
% 184.29/184.09 [7110]E(f775(f775(f125(a850),f130(a850,f775(f294(a850,x71101),x71102))),f775(f775(f140(a850),x71102),f115(a850))),f130(a850,f775(f294(a850,x71101),f775(a114,x71102))))+~P1(f775(f775(f232(a850),x71101),x71102))
% 184.29/184.09 [7267]E(x72671,f2(a850))+~E(f775(f132(a850,a850,f82(a850),x72671),x72672),f2(a850))
% 184.29/184.09 [7296]~P1(f775(f775(f233(a1),f775(f775(f3(a1),x72961),x72962)),f2(a1)))+P1(f775(f775(f233(a1),x72961),x72962))
% 184.29/184.09 [7326]P36(x73261,x73262)+~P36(x73261,f775(f775(f281(x73261,x73261,x73261),x73262),x73262))
% 184.29/184.09 [7358]~P1(f775(f775(f232(a850),f775(a114,x73581)),x73582))+P1(f175(a844,a178,f775(f232(a850),x73581),x73582))
% 184.29/184.09 [7518]P29(a850,a850,f775(f775(f9(a850,a850,a850),f3(a850)),x75181),x75182)+P1(f775(f775(f334(a850),f607(x75181,x75182)),x75182))
% 184.29/184.09 [7577]E(f775(f775(f775(f67(a850,x75771,f82(a850)),f775(f18(a850,x75771),f80(a850))),f2(a850)),x75772),f775(f42(x75771),x75772))+~P1(f775(f63(x75771),x75772))
% 184.29/184.09 [7620]P29(a850,a850,f775(f775(f9(a850,a850,a850),f3(a850)),x76201),x76202)+~P1(f775(f775(f232(a850),x76201),f607(x76201,x76202)))
% 184.29/184.09 [7677]P36(x76771,x76772)+P1(f775(f775(f232(f857(x76771,a844)),f601(x76772,x76771)),f775(f277(x76771,x76771,x76772),f601(x76772,x76771))))
% 184.29/184.09 [7681]P58(x76811,x76812)+~P36(x76811,f775(f256(f856(x76811,x76811)),f775(f251(x76811,x76811,a844),x76812)))
% 184.29/184.09 [7753]P1(f775(f775(f232(a850),f775(a114,x77531)),x77532))+~P1(f175(a844,a178,f775(f232(a850),x77531),x77532))
% 184.29/184.09 [7809]P1(f775(f775(f334(f856(a850,a850)),f775(f775(f241(a850,a850),x78091),x78092)),f300(a850,a323)))+~P1(f775(f775(f232(a850),x78091),x78092))
% 184.29/184.09 [7903]P49(x79031,x79032)+~P47(x79031,f239(f857(x79031,a844)),f775(f256(f856(x79031,x79031)),f775(f251(x79031,x79031,a844),x79032)))
% 184.29/184.09 [8159]~P36(x81591,f775(f278(x81591,x81591),x81592))+P36(x81591,f775(f278(x81591,x81591),f775(f775(f281(x81591,x81591,x81591),x81592),f300(x81591,x81592))))
% 184.29/184.09 [8276]P1(f775(f63(f856(x82761,x82761)),f775(f775(f281(x82761,x82761,x82761),x82762),f300(x82761,x82762))))+~P1(f775(f63(f856(x82761,x82761)),x82762))
% 184.29/184.09 [8306]E(x83061,f2(a1))+P1(f775(f56(x83062,x83061),f775(f775(f241(a1,a1),f775(f775(f43(a1),x83062),x83061)),f52(a1,x83062,x83061))))
% 184.29/184.09 [8320]~P1(f775(f775(f334(f856(a850,a850)),f775(f775(f241(a850,a850),x83201),x83202)),f300(a850,a323)))+P1(f775(f775(f232(a850),x83201),x83202))
% 184.29/184.09 [8341]~P67(x83411)+E(f775(f132(x83411,x83411,f775(f9(x83411,x83411,x83411),f82(x83411)),f2(x83411)),f775(f142(x83411),x83412)),f775(f132(x83411,x83411,f82(x83411),f2(x83411)),x83412))
% 184.29/184.09 [8616]P1(f775(f775(f334(f856(a850,a850)),f775(f775(f241(a850,a850),x86161),x86162)),f775(f775(f281(a850,a850,a850),a323),f300(a850,a323))))+~P1(f775(f775(f233(a850),x86161),x86162))
% 184.29/184.09 [8658]~P1(f775(f63(f856(x86581,x86581)),f775(f775(f281(x86581,x86581,x86581),x86582),f300(x86581,x86582))))+P1(f775(f63(f856(x86581,x86581)),x86582))
% 184.29/184.09 [8878]P56(x88781,x88782)+P1(f775(f775(f334(f856(x88781,x88781)),f775(f775(f241(x88781,x88781),f634(x88782,x88781)),f634(x88782,x88781))),f775(f775(f281(x88781,x88781,x88781),x88782),f300(x88781,x88782))))
% 184.29/184.09 [8879]P56(x88791,x88792)+P1(f775(f775(f334(f856(x88791,x88791)),f775(f775(f241(x88791,x88791),f641(x88792,x88791)),f641(x88792,x88791))),f775(f775(f281(x88791,x88791,x88791),x88792),f300(x88791,x88792))))
% 184.29/184.09 [8988]~P1(f775(f775(f334(f856(a850,a850)),f775(f775(f241(a850,a850),x89881),x89882)),f775(f775(f281(a850,a850,a850),a323),f300(a850,a323))))+P1(f775(f775(f233(a850),x89881),x89882))
% 184.29/184.09 [4965]~P88(x49651)+E(f775(f775(f82(x49651),f775(f106(x49651),a85)),x49652),x49652)
% 184.29/184.09 [4995]~P69(x49951)+E(f775(f775(f82(x49951),f775(f81(x49951),x49952)),x49952),f2(x49951))
% 184.29/184.09 [4996]~P6(x49961)+E(f775(f775(f82(x49961),f775(f81(x49961),x49962)),x49962),f2(x49961))
% 184.29/184.09 [4997]~P90(x49971)+E(f775(f775(f103(x49971),f775(f81(x49971),x49972)),x49972),f239(x49971))
% 184.29/184.09 [4998]~P90(x49981)+E(f775(f775(f104(x49981),f775(f81(x49981),x49982)),x49982),f180(x49981))
% 184.29/184.09 [5028]~P88(x50281)+E(f775(f775(f83(x50281),f775(f106(x50281),a99)),x50282),f775(f81(x50281),x50282))
% 184.29/184.09 [5187]~P104(x51871)+E(f775(f775(f83(x51871),f775(f81(x51871),f80(x51871))),x51872),f775(f81(x51871),x51872))
% 184.29/184.09 [5229]E(f775(f77(a1),x52291),f80(a1))+~E(f775(f77(a1),f775(f775(f83(a1),x52291),x52292)),f80(a1))
% 184.29/184.09 [5316]~P88(x53161)+E(f775(f775(f82(x53161),f80(x53161)),f775(f106(x53161),x53162)),f775(f106(x53161),f775(f775(f3(a1),x53162),a99)))
% 184.29/184.09 [5371]~P93(x53711)+E(f15(x53711,f775(f775(f302(x53711),x53712),f180(f857(x53711,a844)))),x53712)
% 184.29/184.09 [5372]~P100(x53721)+E(f16(x53721,f775(f775(f302(x53721),x53722),f180(f857(x53721,a844)))),x53722)
% 184.29/184.09 [5373]~P100(x53731)+E(f17(x53731,f775(f775(f302(x53731),x53732),f180(f857(x53731,a844)))),x53732)
% 184.29/184.09 [5374]~P93(x53741)+E(f12(x53741,f775(f775(f302(x53741),x53742),f180(f857(x53741,a844)))),x53742)
% 184.29/184.09 [5375]~P9(x53751)+E(f45(x53751,f775(f775(f302(x53751),x53752),f180(f857(x53751,a844)))),x53752)
% 184.29/184.09 [5376]~P9(x53761)+E(f44(x53761,f775(f775(f302(x53761),x53762),f180(f857(x53761,a844)))),x53762)
% 184.29/184.09 [5398]E(f775(f775(f82(a850),x53981),f775(f775(f3(a850),x53982),x53981)),x53982)+P1(f775(f775(f233(a850),x53982),x53981))
% 184.29/184.09 [5430]E(x54301,f115(x54302))+P1(f775(f775(f233(a850),f2(a850)),f775(f181(f851(x54302)),x54301)))
% 184.29/184.09 [5548]~P100(x55481)+E(f13(x55481,f179(x55481),f775(f775(f302(x55481),x55482),f180(f857(x55481,a844)))),x55482)
% 184.29/184.09 [5549]~P100(x55491)+E(f14(x55491,f236(x55491),f775(f775(f302(x55491),x55492),f180(f857(x55491,a844)))),x55492)
% 184.29/184.09 [5610]E(f775(f775(f82(a850),x56101),f775(f775(f3(a850),x56102),x56101)),x56102)+~P1(f775(f775(f232(a850),x56101),x56102))
% 184.29/184.09 [5611]E(f775(f775(f83(a1),x56111),f775(f775(f43(a1),x56112),x56111)),x56112)+~P1(f775(f775(f279(a1),x56111),x56112))
% 184.29/184.09 [5612]E(f775(f775(f3(a850),x56121),f775(f775(f3(a850),x56121),x56122)),x56122)+~P1(f775(f775(f232(a850),x56122),x56121))
% 184.29/184.09 [5631]E(f52(a850,f775(f775(f3(a850),x56311),x56312),x56312),f52(a850,x56311,x56312))+P1(f775(f775(f233(a850),x56311),x56312))
% 184.29/184.09 [5641]E(f775(f81(a1),f775(f775(f43(a1),x56411),f775(f81(a1),x56412))),f285(x56411,x56412))+P1(f775(f775(f232(a1),f2(a1)),x56412))
% 184.29/184.09 [5643]~E(x56432,f2(a850))+P1(f775(f775(f233(a850),f2(a850)),f775(f775(f242(a850),x56431),x56432)))
% 184.29/184.09 [5703]~P88(x57031)+E(f775(f775(f82(x57031),f775(f81(x57031),f80(x57031))),f775(f106(x57031),x57032)),f775(f106(x57031),f775(f775(f82(a1),x57032),a99)))
% 184.29/184.09 [5704]E(f775(f775(f242(a850),f775(f106(a850),x57041)),x57042),f775(f775(f242(a850),f2(a850)),x57042))+~P1(f775(a186,f775(f106(a1),x57041)))
% 184.29/184.09 [5805]E(f775(f131(a850),f130(a850,f775(f294(a850,x58051),x58052))),x58051)+~P1(f775(f775(f233(a850),x58051),x58052))
% 184.29/184.09 [5822]E(f775(f775(f83(a850),f775(f106(a850),x58221)),f775(f106(a850),x58222)),f775(f106(a850),f775(f775(f83(a1),x58221),x58222)))+P1(f775(f775(f233(a1),x58221),a85))
% 184.29/184.09 [5828]~P118(x58281)+P1(f775(f775(f232(x58281),f2(x58281)),f775(f775(f83(x58281),x58282),x58282)))
% 184.29/184.09 [5840]E(f775(f775(f3(a850),f775(a114,x58401)),x58402),f775(a114,f775(f775(f3(a850),x58401),x58402)))+~P1(f775(f775(f232(a850),x58402),x58401))
% 184.29/184.09 [5843]E(f52(a850,f775(f775(f3(a850),x58431),x58432),x58432),f52(a850,x58431,x58432))+~P1(f775(f775(f232(a850),x58432),x58431))
% 184.29/184.09 [5895]E(f775(f775(f242(a850),f775(a107,x58951)),x58952),f775(a107,f775(f775(f242(a1),x58951),x58952)))+~P1(f775(f775(f232(a1),f2(a1)),x58951))
% 184.29/184.09 [5911]P1(f775(f127(x59111),x59112))+P1(f775(f775(f233(a850),f722(x59112,x59111)),f775(f181(f851(x59111)),x59112)))
% 184.29/184.09 [5912]P1(f775(f127(x59121),x59122))+P1(f775(f775(f233(a850),f726(x59122,x59121)),f775(f181(f851(x59121)),x59122)))
% 184.29/184.09 [5927]~P1(f775(f775(f279(a1),x59271),x59272))+P1(f775(f775(f279(a1),f775(f81(a1),x59271)),x59272))
% 184.29/184.09 [5930]~E(x59301,f115(x59302))+~P1(f775(f775(f233(a850),f2(a850)),f775(f181(f851(x59302)),x59301)))
% 184.29/184.09 [5943]E(f134(a850,f130(a850,f775(f294(a850,x59431),x59432))),f775(f775(f3(a850),x59432),f80(a850)))+~P1(f775(f775(f233(a850),x59431),x59432))
% 184.29/184.09 [5946]E(f775(f775(f82(a1),x59461),f775(f102(a1),f775(a114,f628(x59462,x59461)))),x59462)+~P1(f775(f775(f233(a1),x59461),x59462))
% 184.29/184.09 [5952]E(x59521,f2(a850))+E(f775(f775(f83(a850),x59522),f775(f775(f242(a850),x59522),f775(f775(f3(a850),x59521),f80(a850)))),f775(f775(f242(a850),x59522),x59521))
% 184.29/184.09 [5978]E(f775(f775(f83(a850),f775(a107,x59781)),f775(a107,x59782)),f775(a107,f775(f775(f83(a1),x59781),x59782)))+~P1(f775(f775(f232(a1),f2(a1)),x59781))
% 184.29/184.09 [5979]E(f775(f775(f43(a850),f775(a107,x59791)),f775(a107,x59792)),f775(a107,f775(f775(f43(a1),x59791),x59792)))+~P1(f775(f775(f232(a1),f2(a1)),x59791))
% 184.29/184.09 [5993]~P85(x59931)+E(f775(f775(f82(x59931),x59932),x59932),f775(f775(f83(x59931),f775(f775(f82(x59931),f80(x59931)),f80(x59931))),x59932))
% 184.29/184.09 [6012]E(f775(f775(f43(a1),f775(f77(a1),x60121)),f775(f77(a1),x60122)),f775(f77(a1),f775(f775(f43(a1),x60121),x60122)))+~P1(f775(f775(f279(a1),x60122),x60121))
% 184.29/184.09 [6013]E(f775(f775(f3(a1),f775(f102(a1),x60131)),f775(f102(a1),x60132)),f775(f102(a1),f775(f775(f3(a850),x60131),x60132)))+~P1(f775(f775(f232(a850),x60132),x60131))
% 184.29/184.09 [6015]E(f775(f775(f241(a1,a1),f775(f106(a1),a99)),f775(f775(f82(a1),x60151),x60152)),f57(x60151,x60152))+~P1(f775(f775(f232(a1),x60152),f2(a1)))
% 184.29/184.09 [6054]E(f164(x60541,x60542),f115(f851(x60541)))+P1(f775(f775(f334(f851(x60541)),f721(x60542,x60541)),f775(f158(f851(x60541)),x60542)))
% 184.29/184.09 [6118]~P1(f775(f775(f279(a850),x61181),x61182))+P1(f775(f775(f279(a850),x61181),f775(f775(f82(a850),x61182),x61181)))
% 184.29/184.09 [6140]E(f775(f775(f140(a1),x61401),f163(f775(f775(f82(a1),x61401),f80(a1)),x61402)),f163(x61401,x61402))+~P1(f775(f775(f232(a1),x61401),x61402))
% 184.29/184.09 [6178]~P1(f775(f775(f233(a850),x61782),x61781))+P1(f775(f775(f233(a850),f2(a850)),f775(f775(f3(a850),x61781),x61782)))
% 184.29/184.09 [6210]~P1(f775(f775(f233(a850),x62101),f775(a107,x62102)))+P1(f775(f775(f233(a1),f775(f102(a1),x62101)),x62102))
% 184.29/184.09 [6211]P1(f775(f775(f279(a1),x62111),x62112))+~P1(f775(f775(f279(a1),f775(f81(a1),x62111)),x62112))
% 184.29/184.09 [6241]~P100(x62411)+E(f775(f775(f103(f857(x62411,a844)),f775(f257(x62411),x62412)),f775(f775(f302(x62411),x62412),f180(f857(x62411,a844)))),f775(f293(x62411),x62412))
% 184.29/184.09 [6244]~P1(f775(f775(f233(a850),f2(a850)),x62441))+P1(f775(f775(f233(a850),f2(a850)),f775(f775(f242(a850),x62441),x62442)))
% 184.29/184.09 [6245]~P1(f775(f775(f232(a1),f2(a1)),x62451))+P1(f775(f775(f232(a1),f2(a1)),f775(f775(f242(a1),x62451),x62452)))
% 184.29/184.09 [6273]~E(f775(x62731,f2(a850)),f2(a850))+E(f775(f775(f8(a850,a850),x62731),f295(a850,f775(a114,f2(a850)),x62732)),f775(f775(f8(a850,a850),x62731),f295(a850,f2(a850),x62732)))
% 184.29/184.09 [6339]~P88(x63391)+E(f775(f775(f83(x63391),f775(f775(f82(x63391),f80(x63391)),f80(x63391))),f775(f106(x63391),x63392)),f775(f106(x63391),f775(f775(f82(a1),x63392),x63392)))
% 184.29/184.09 [6361]E(f775(f775(f302(a1),x63611),f295(a1,f775(f775(f82(a1),x63611),f80(a1)),x63612)),f295(a1,x63611,x63612))+P1(f775(f775(f233(a1),x63612),x63611))
% 184.29/184.09 [6362]P1(f775(f775(f233(a850),x63621),f775(a107,x63622)))+~P1(f775(f775(f233(a1),f775(f102(a1),x63621)),x63622))
% 184.29/184.09 [6464]P1(f775(f775(f279(a850),x64641),x64642))+~P1(f775(f775(f279(a850),x64641),f775(f775(f82(a850),x64642),x64641)))
% 184.29/184.09 [6470]E(f775(a107,f775(f775(f43(a1),f775(f106(a1),x64701)),f775(f106(a1),x64702))),f775(f775(f43(a850),f775(f106(a850),x64701)),f775(f106(a850),x64702)))+P1(f775(a186,f775(f106(a1),x64701)))
% 184.29/184.09 [6530]P1(f775(f775(f233(a850),x65301),x65302))+~P1(f775(f775(f233(a850),f2(a850)),f775(f775(f3(a850),x65302),x65301)))
% 184.29/184.09 [6573]P1(f775(f775(f233(a850),f2(a850)),x65731))+~P1(f775(f775(f233(a850),f2(a850)),f775(f775(f83(a850),x65732),x65731)))
% 184.29/184.09 [6574]P1(f775(f775(f233(a850),f2(a850)),x65741))+~P1(f775(f775(f233(a850),f2(a850)),f775(f775(f83(a850),x65741),x65742)))
% 184.29/184.09 [6591]~P1(f775(f775(f232(a1),x65911),f2(a1)))+E(f775(f775(f83(a850),f775(a107,f775(f81(a1),x65911))),f775(a107,f775(f81(a1),x65912))),f775(a107,f775(f775(f83(a1),x65911),x65912)))
% 184.29/184.09 [6658]~E(x66582,f180(f857(x66581,a844)))+P1(f775(f775(f232(f857(x66581,a844)),x66582),f775(f81(f857(x66581,a844)),x66582)))
% 184.29/184.09 [6722]~P88(x67221)+E(f775(f775(f82(x67221),f775(f775(f82(x67221),f2(x67221)),f775(f106(x67221),x67222))),f775(f106(x67221),x67222)),f775(f106(x67221),f775(f775(f82(a1),x67222),x67222)))
% 184.29/184.09 [6731]~P1(f775(f775(f279(a1),f775(f102(a1),x67311)),x67312))+P1(f775(f775(f279(a850),x67311),f775(a107,f775(f77(a1),x67312))))
% 184.29/184.09 [6783]~P1(f775(f775(f233(a1),x67831),x67832))+P1(f775(f775(f232(a1),f775(f775(f82(a1),x67831),f80(a1))),x67832))
% 184.29/184.09 [6822]P1(f775(f775(f279(a1),f775(f102(a1),x68221)),x68222))+~P1(f775(f775(f279(a850),x68221),f775(a107,f775(f77(a1),x68222))))
% 184.29/184.09 [6856]E(x68561,f2(a850))+~P1(f775(f775(f232(a1),f775(f102(a1),x68562)),f775(f81(a1),f775(f102(a1),x68561))))
% 184.29/184.09 [6857]E(x68571,f2(a850))+~P1(f775(f775(f232(a1),f775(f102(a1),x68571)),f775(f81(a1),f775(f102(a1),x68572))))
% 184.29/184.09 [6963]E(f775(f775(f241(a1,a1),f775(f106(a1),a99)),f775(f775(f82(a1),x69631),x69632)),f57(x69631,x69632))+~P1(f775(f775(f232(a1),f2(a1)),f775(f775(f82(a1),x69631),x69632)))
% 184.29/184.09 [7000]~P30(x70001,x70002)+P36(x70001,f775(f240(f857(f856(x70001,x70001),a844),f857(f856(x70001,x70001),a844)),x70002))
% 184.29/184.09 [7022]~P1(f775(f775(f232(a850),f775(a114,f2(a850))),x70221))+P1(f775(f775(f232(a850),f775(a114,f2(a850))),f775(f775(f242(a850),x70221),x70222)))
% 184.29/184.09 [7192]~P1(f775(f775(f233(a1),x71921),x71922))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x71921),x71921)),f775(f775(f82(a1),x71922),x71922)))
% 184.29/184.09 [7204]~P1(f775(f775(f232(a1),x72041),x72042))+P1(f775(f775(f232(a1),f775(f775(f82(a1),x72041),x72041)),f775(f775(f82(a1),x72042),x72042)))
% 184.29/184.09 [7271]~P1(f775(f775(f233(a850),f2(a850)),x72711))+P1(f775(f775(f233(a850),f775(f775(f3(a850),x72711),f775(a114,x72712))),x72711))
% 184.29/184.09 [7308]P1(f775(f775(f232(a850),f775(a114,f2(a850))),x73081))+~P1(f775(f775(f232(a850),f775(a114,f2(a850))),f775(f775(f83(a850),x73082),x73081)))
% 184.29/184.09 [7309]P1(f775(f775(f232(a850),f775(a114,f2(a850))),x73091))+~P1(f775(f775(f232(a850),f775(a114,f2(a850))),f775(f775(f83(a850),x73091),x73092)))
% 184.29/184.09 [7313]P1(f775(f775(f232(a850),f775(f775(f153(a850),x73131),x73132)),f775(f155(a850),x73131)))+~P1(f775(f775(f233(a850),x73132),f775(f181(f851(a850)),x73131)))
% 184.29/184.09 [7357]P1(f775(f775(f233(a1),x73571),x73572))+~P1(f775(f775(f232(a1),f775(f775(f82(a1),x73571),f80(a1))),x73572))
% 184.29/184.09 [7403]P1(f775(f63(x74031),f239(f857(x74031,a844))))+~P1(f775(f63(f857(x74032,x74031)),f239(f857(f857(x74032,x74031),a844))))
% 184.29/184.09 [7404]P1(f775(f63(x74041),f239(f857(x74041,a844))))+~P1(f775(f63(f858(x74042,x74041)),f239(f857(f858(x74042,x74041),a844))))
% 184.29/184.09 [7405]P1(f775(f63(x74051),f239(f857(x74051,a844))))+~P1(f775(f63(f858(x74051,x74052)),f239(f857(f858(x74051,x74052),a844))))
% 184.29/184.09 [7444]E(x74441,f180(f857(x74442,a844)))+~P1(f775(f775(f232(f857(x74442,a844)),x74441),f775(f81(f857(x74442,a844)),x74441)))
% 184.29/184.09 [7587]E(f775(f132(f851(x75871),f851(x75871),f125(x75871),f115(x75871)),x75872),f115(x75871))+P1(f775(f775(f334(f851(x75871)),f768(x75872,x75871)),f775(f158(f851(x75871)),x75872)))
% 184.29/184.09 [7588]E(f775(f132(f851(x75881),f851(x75881),f125(x75881),f115(x75881)),x75882),f115(x75881))+P1(f775(f775(f334(f851(x75881)),f769(x75882,x75881)),f775(f158(f851(x75881)),x75882)))
% 184.29/184.09 [7829]P1(f775(f775(f233(a1),x78291),x78292))+~P1(f775(f775(f233(a1),f775(f775(f82(a1),x78291),x78291)),f775(f775(f82(a1),x78292),x78292)))
% 184.29/184.09 [7832]P1(f775(f775(f232(a1),x78321),x78322))+~P1(f775(f775(f232(a1),f775(f775(f82(a1),x78321),x78321)),f775(f775(f82(a1),x78322),x78322)))
% 184.29/184.09 [7924]~P85(x79241)+E(f775(f775(f83(x79241),f775(f775(f82(x79241),f80(x79241)),f80(x79241))),f775(f775(f8(a850,x79241),f102(x79241)),f295(a850,f80(a850),x79242))),f775(f775(f83(x79241),f775(f102(x79241),x79242)),f775(f775(f82(x79241),f775(f102(x79241),x79242)),f80(x79241))))
% 184.29/184.09 [7980]P1(f775(f775(f334(a850),x79801),x79802))+~P1(f775(f775(f334(a1),f775(f102(a1),x79801)),f775(f303(a850,a1,f102(a1)),x79802)))
% 184.29/184.09 [8130]~P1(f775(f63(x81301),x81302))+E(f775(f303(a850,x81301,f583(x81302,x81301)),f775(f256(a850),f775(f775(f9(a850,a850,a844),f233(a850)),f584(x81302,x81301)))),x81302)
% 184.29/184.09 [8414]P48(x84141,x84142)+P1(f775(f775(f334(f856(x84141,x84141)),f775(f775(f241(x84141,x84141),f473(x84142,x84141)),f473(x84142,x84141))),x84142))
% 184.29/184.09 [8550]~P88(x85501)+E(f775(f775(f3(x85501),f80(x85501)),f775(f106(x85501),x85502)),f775(f106(x85501),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f81(a1),x85502))))
% 184.29/184.09 [8654]~P1(f775(f775(f233(f857(a850,a844)),x86541),x86542))+P1(f775(f775(f233(f857(a1,a844)),f775(f303(a850,a1,f102(a1)),x86541)),f775(f303(a850,a1,f102(a1)),x86542)))
% 184.29/184.09 [8681]~P1(f775(f775(f233(a1),x86811),x86812))+P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),x86811),x86811)),a99)),f775(f775(f82(a1),x86812),x86812)))
% 184.29/184.09 [8683]~P1(f775(f775(f233(a1),x86831),x86832))+P1(f775(f775(f232(a1),f775(f775(f3(a1),f775(f775(f82(a1),x86831),x86831)),a99)),f775(f775(f82(a1),x86832),x86832)))
% 184.29/184.09 [8750]~P1(f775(f775(f334(a850),x87501),f775(f158(a850),x87502)))+P1(f775(f775(f232(a850),x87501),f775(f132(a850,a850,f82(a850),f2(a850)),x87502)))
% 184.29/184.09 [8822]P44(x88221,x88222)+~P1(f775(f775(f334(f856(x88221,x88221)),f775(f775(f241(x88221,x88221),f427(x88222,x88221)),f427(x88222,x88221))),x88222))
% 184.29/184.09 [8955]~P1(f775(f775(f233(f857(a1,a844)),f775(f303(a850,a1,f102(a1)),x89551)),f775(f303(a850,a1,f102(a1)),x89552)))+P1(f775(f775(f233(f857(a850,a844)),x89551),x89552))
% 184.29/184.09 [8956]~P1(f775(f775(f232(f857(a1,a844)),f775(f303(a850,a1,f102(a1)),x89561)),f775(f303(a850,a1,f102(a1)),x89562)))+P1(f775(f775(f232(f857(a850,a844)),x89561),x89562))
% 184.29/184.09 [9038]P1(f775(f775(f233(a1),x90381),x90382))+~P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),x90381),x90381)),a99)),f775(f775(f82(a1),x90382),x90382)))
% 184.29/184.09 [9040]P1(f775(f775(f233(a1),x90401),x90402))+~P1(f775(f775(f232(a1),f775(f775(f3(a1),f775(f775(f82(a1),x90401),x90401)),a99)),f775(f775(f82(a1),x90402),x90402)))
% 184.29/184.09 [9893]~P1(f775(f63(x98931),x98932))+E(f775(f181(f851(x98931)),f92(f851(x98931),f775(f775(f20(f851(x98931),a844,a844),f775(f775(f10(a844,f857(a844,a844),f851(x98931)),a331),f775(f775(f9(f851(x98931),f857(x98931,a844),a844),f775(f775(f10(f857(x98931,a844),f857(f857(x98931,a844),a844),f851(x98931)),a330),f158(x98931))),x98932))),f127(x98931)))),f209(x98931,x98932))
% 184.29/184.09 [5942]E(f775(f775(f82(a850),f775(f775(f3(a850),x59421),x59422)),x59422),x59421)+~P1(f775(f775(f232(a850),x59422),x59421))
% 184.29/184.09 [6008]E(f775(f775(f43(a850),f775(f775(f83(a850),x60081),x60082)),x60082),x60081)+~P1(f775(f775(f233(a850),f2(a850)),x60082))
% 184.29/184.09 [6009]E(f775(f775(f43(a850),f775(f775(f83(a850),x60091),x60092)),x60091),x60092)+~P1(f775(f775(f233(a850),f2(a850)),x60091))
% 184.29/184.09 [6014]~P66(x60141)+E(f775(f775(f8(a850,x60141),f775(f153(x60141),x60142)),f775(f294(a850,f2(a850)),f775(f181(f851(x60141)),x60142))),f775(f155(x60141),x60142))
% 184.29/184.09 [6132]E(f52(a850,f775(a114,f775(f775(f83(a850),x61321),x61322)),x61321),f80(a850))+~P1(f775(f775(f233(a850),f80(a850)),x61321))
% 184.29/184.09 [6138]E(f775(a114,f775(f775(f82(a850),f775(f106(a850),x61381)),x61382)),f775(f775(f82(a850),f80(a850)),x61382))+~P1(f775(a186,f775(f106(a1),x61381)))
% 184.29/184.09 [6164]E(f775(a107,f775(f775(f242(a1),f775(f106(a1),x61641)),x61642)),f775(f775(f242(a850),f775(f106(a850),x61641)),x61642))+P1(f775(a186,f775(f106(a1),x61641)))
% 184.29/184.09 [6417]E(f775(f775(f3(a850),x64171),f775(f106(a850),f775(f775(f82(a1),x64172),a99))),f775(f775(f3(a850),f775(a114,x64171)),f775(f106(a850),x64172)))+~P1(f775(f775(f233(a1),a85),x64172))
% 184.29/184.09 [6499]E(x64991,f2(a850))+E(f775(a114,f775(f775(f82(a850),f775(f775(f3(a850),x64991),f80(a850))),x64992)),f775(f775(f82(a850),x64991),x64992))
% 184.29/184.09 [6544]E(x65441,f2(a1))+P1(f775(f775(f233(a1),f2(a1)),f775(f775(f242(a1),f775(f77(a1),x65441)),x65442)))
% 184.29/184.09 [6559]~E(x65592,f2(a850))+P1(f775(f775(f233(a1),f2(a1)),f775(f775(f242(a1),f775(f77(a1),x65591)),x65592)))
% 184.29/184.09 [6596]E(x65961,f2(a850))+E(f775(f775(f82(a850),x65962),f775(f775(f83(a850),f775(f775(f3(a850),x65961),f80(a850))),x65962)),f775(f775(f83(a850),x65961),x65962))
% 184.29/184.09 [6652]~P1(f775(f775(f232(a1),x66521),x66522))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x66521),a99)),x66522))
% 184.29/184.09 [6787]E(f775(f775(f140(a850),x67871),f130(a850,f775(f294(a850,f775(a114,x67871)),x67872))),f130(a850,f775(f294(a850,x67871),x67872)))+~P1(f775(f775(f233(a850),x67871),x67872))
% 184.29/184.09 [6957]~P1(f775(f775(f279(a1),x69571),f775(f102(a1),x69572)))+P1(f775(f775(f279(a850),f775(a107,f775(f77(a1),x69571))),x69572))
% 184.29/184.09 [6991]E(x69911,x69912)+~E(f775(f775(f3(a1),f775(f775(f82(a1),x69911),x69911)),a99),f775(f775(f3(a1),f775(f775(f82(a1),x69912),x69912)),a99))
% 184.29/184.09 [6994]E(x69941,f115(x69942))+E(f263(x69942,f775(f775(f143(x69942,f856(a101,x69942)),f775(f241(a101,x69942),f80(a101))),x69941)),f270(x69942,x69941))
% 184.29/184.09 [7234]P1(f775(f775(f232(a1),x72341),x72342))+~P1(f775(f775(f233(a1),f775(f775(f82(a1),x72341),a99)),x72342))
% 184.29/184.09 [7376]P1(f775(f775(f279(a1),x73761),f775(f102(a1),x73762)))+~P1(f775(f775(f279(a850),f775(a107,f775(f77(a1),x73761))),x73762))
% 184.29/184.09 [7726]~P1(f775(f775(f233(a850),x77261),x77262))+P1(f775(f775(f334(f856(a850,a850)),f775(f775(f241(a850,a850),x77261),x77262)),a237))
% 184.29/184.09 [7954]~P1(f775(f775(f233(a101),f2(a101)),x79541))+P1(f775(f775(f233(a101),f775(f240(a101,f856(a101,a101)),f775(f264(x79541),x79542))),x79541))
% 184.29/184.09 [8255]~P79(x82551)+P1(f775(f775(f232(x82551),f775(f77(x82551),f775(f155(x82551),x82552))),f775(f155(x82551),f775(f775(f143(x82551,x82551),f77(x82551)),x82552))))
% 184.29/184.09 [8278]P1(f775(f775(f233(a850),x82781),x82782))+~P1(f775(f775(f334(f856(a850,a850)),f775(f775(f241(a850,a850),x82781),x82782)),a237))
% 184.29/184.09 [8438]E(f775(f775(f241(x84381,x84381),f653(x84382,x84381)),f653(x84382,x84381)),x84382)+~P1(f775(f775(f334(f856(x84381,x84381)),x84382),f300(x84381,f180(f857(f856(x84381,x84381),a844)))))
% 184.29/184.09 [8483]E(f775(f294(a850,x84831),f775(f775(f82(a850),x84831),f775(f42(a850),x84832))),x84832)+~P1(f775(f775(f232(f857(a850,a844)),x84832),f775(f294(a850,x84831),f775(f775(f82(a850),x84831),f775(f42(a850),x84832)))))
% 184.29/184.09 [8783]E(f775(f775(f43(a1),f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),x87831),x87831)),a99))),f775(f106(a1),f775(f775(f82(a1),x87832),x87832))),f775(f775(f43(a1),f775(f106(a1),x87831)),f775(f106(a1),x87832)))+~P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x87832)))
% 184.29/184.09 [8888]E(f162(f851(x88881),f775(f775(f10(a844,a844,f851(x88881)),a328),f775(f775(f9(f851(x88881),f851(x88881),a844),a330),f115(x88881))),x88882),f164(x88881,f164(x88881,x88882)))+~P18(a850,f775(f142(a850),f775(f775(f143(f851(x88881),a850),f181(f851(x88881))),x88882)))
% 184.29/184.09 [8891]E(f775(f775(f43(a1),f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),x88911),x88911)),a99))),f775(f106(a1),f775(f775(f82(a1),x88912),x88912))),f775(f775(f43(a1),f775(f775(f82(a1),f775(f106(a1),x88911)),f80(a1))),f775(f106(a1),x88912)))+P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x88912)))
% 184.29/184.09 [9663]P1(f775(a186,x96632))+E(f775(f775(f88(a1,a850),f775(f775(f3(a1),x96631),x96632)),f775(f775(f20(a1,a850,a850),f775(f775(f9(a1,a850,f857(a850,a850)),f775(f775(f10(a844,f857(a850,f857(a850,a850)),a1),f98(a850)),a186)),f2(a850))),a107)),f775(f775(f3(a850),f775(a107,x96631)),f775(a107,x96632)))
% 184.29/184.09 [9667]E(f775(f775(f88(a1,a850),f775(f106(a1),f775(f775(f82(a1),x96671),f775(f81(a1),x96672)))),f775(f775(f20(a1,a850,a850),f775(f775(f9(a1,a850,f857(a850,a850)),f775(f775(f10(a844,f857(a850,f857(a850,a850)),a1),f98(a850)),a186)),f2(a850))),a107)),f775(f775(f3(a850),f775(f106(a850),x96671)),f775(f106(a850),x96672)))+P1(f775(f775(f233(a1),x96672),a85))
% 184.29/184.09 [9668]~P30(x96681,x96682)+P1(f775(f775(f232(f857(f856(x96681,x96681),a844)),f775(f775(f281(x96681,x96681,x96681),f775(f240(f857(f856(x96681,x96681),a844),f857(f856(x96681,x96681),a844)),x96682)),f775(f250(f857(f856(x96681,x96681),a844),f857(f856(x96681,x96681),a844)),x96682))),f775(f240(f857(f856(x96681,x96681),a844),f857(f856(x96681,x96681),a844)),x96682)))
% 184.29/184.09 [9724]~E(f775(f42(a850),f775(f256(a850),f775(f775(f20(a850,a844,a844),f775(f775(f10(a844,f857(a844,a844),a850),a331),f775(f775(f9(a850,f857(a850,a844),a844),f334(a850)),x97241))),f775(f775(f9(a850,a850,a844),f233(a850)),f775(a114,x97242))))),f2(a850))+~P1(f775(f775(f334(a850),f2(a850)),x97241))
% 184.29/184.09 [9737]E(f291(a850,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x97371,x97372),f180(f857(a850,a844)))+~P1(f775(f775(f279(a850),x97372),x97371))
% 184.29/184.09 [9745]E(f292(a850,f279(a850),f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x97451,x97452),f180(f857(a850,a844)))+P1(f775(f775(f279(a850),x97451),x97452))
% 184.29/184.09 [9746]E(f289(a850,f279(a850),f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x97461,x97462),f180(f857(a850,a844)))+P1(f775(f775(f279(a850),x97461),x97462))
% 184.29/184.09 [9750]E(f292(a850,f279(a850),f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x97501,x97502),f180(f857(a850,a844)))+~P1(f775(f775(f279(a850),x97502),x97501))
% 184.29/184.09 [9752]E(f289(a850,f279(a850),f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x97521,x97522),f180(f857(a850,a844)))+~P1(f775(f775(f279(a850),x97522),x97521))
% 184.29/184.09 [9795]E(f52(a1,f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),x97951),x97951)),a99)),f775(f106(a1),f775(f775(f82(a1),x97952),x97952))),f775(f775(f82(a1),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f52(a1,f775(f106(a1),x97951),f775(f106(a1),x97952)))),f80(a1)))+~P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x97952)))
% 184.29/184.09 [9804]E(f52(a1,f775(f106(a1),f775(f775(f3(a1),f775(f775(f82(a1),x98041),x98041)),a99)),f775(f106(a1),f775(f775(f82(a1),x98042),x98042))),f775(f775(f3(a1),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f52(a1,f775(f775(f82(a1),f775(f106(a1),x98041)),f80(a1)),f775(f106(a1),x98042)))),f80(a1)))+P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x98042)))
% 184.29/184.09 [9862]~P9(x98621)+E(f44(x98621,f775(f256(x98621),f775(f775(f10(f857(x98621,a844),a844,x98621),f90(x98621)),f775(f775(f10(f857(x98621,a844),f857(x98621,a844),x98621),f775(f20(x98621,a844,a844),f775(f775(f10(a844,f857(a844,a844),x98621),a335),f775(f775(f9(x98621,f857(x98621,a844),a844),f334(x98621)),x98622)))),f232(x98621))))),f45(x98621,x98622))
% 184.29/184.09 [9886]~P36(x98861,x98862)+P58(x98861,f775(f775(f9(x98861,f857(f856(x98861,x98861),a844),f857(x98861,a844)),f775(f775(f10(f857(x98861,f857(f857(f856(x98861,x98861),a844),a844)),f857(f857(f856(x98861,x98861),a844),f857(x98861,a844)),x98861),f9(x98861,f857(f856(x98861,x98861),a844),a844)),f775(f775(f10(f857(x98861,f856(x98861,x98861)),f857(x98861,f857(f857(f856(x98861,x98861),a844),a844)),x98861),f775(f10(f856(x98861,x98861),f857(f857(f856(x98861,x98861),a844),a844),x98861),f334(f856(x98861,x98861)))),f241(x98861,x98861)))),x98862))
% 184.29/184.09 [9887]~P12(x98871,f239(f857(x98871,a844)),x98872)+P11(x98871,f775(f775(f9(x98871,f857(f856(x98871,x98871),a844),f857(x98871,a844)),f775(f775(f10(f857(x98871,f857(f857(f856(x98871,x98871),a844),a844)),f857(f857(f856(x98871,x98871),a844),f857(x98871,a844)),x98871),f9(x98871,f857(f856(x98871,x98871),a844),a844)),f775(f775(f10(f857(x98871,f856(x98871,x98871)),f857(x98871,f857(f857(f856(x98871,x98871),a844),a844)),x98871),f775(f10(f856(x98871,x98871),f857(f857(f856(x98871,x98871),a844),a844),x98871),f334(f856(x98871,x98871)))),f241(x98871,x98871)))),x98872))
% 184.29/184.09 [9924]P36(x99241,x99242)+~P58(x99241,f775(f775(f9(x99241,f857(f856(x99241,x99241),a844),f857(x99241,a844)),f775(f775(f10(f857(x99241,f857(f857(f856(x99241,x99241),a844),a844)),f857(f857(f856(x99241,x99241),a844),f857(x99241,a844)),x99241),f9(x99241,f857(f856(x99241,x99241),a844),a844)),f775(f775(f10(f857(x99241,f856(x99241,x99241)),f857(x99241,f857(f857(f856(x99241,x99241),a844),a844)),x99241),f775(f10(f856(x99241,x99241),f857(f857(f856(x99241,x99241),a844),a844),x99241),f334(f856(x99241,x99241)))),f241(x99241,x99241)))),x99242))
% 184.29/184.09 [9925]P12(x99251,f239(f857(x99251,a844)),x99252)+~P11(x99251,f775(f775(f9(x99251,f857(f856(x99251,x99251),a844),f857(x99251,a844)),f775(f775(f10(f857(x99251,f857(f857(f856(x99251,x99251),a844),a844)),f857(f857(f856(x99251,x99251),a844),f857(x99251,a844)),x99251),f9(x99251,f857(f856(x99251,x99251),a844),a844)),f775(f775(f10(f857(x99251,f856(x99251,x99251)),f857(x99251,f857(f857(f856(x99251,x99251),a844),a844)),x99251),f775(f10(f856(x99251,x99251),f857(f857(f856(x99251,x99251),a844),a844),x99251),f334(f856(x99251,x99251)))),f241(x99251,x99251)))),x99252))
% 184.29/184.09 [7180]E(f775(f775(f82(a850),f775(f106(a850),f775(f775(f3(a1),x71801),a99))),x71802),f775(a114,f775(f775(f82(a850),f775(f106(a850),x71801)),x71802)))+P1(f775(a186,f775(f106(a1),x71801)))
% 184.29/184.09 [7645]~P88(x76451)+E(f775(f775(f82(x76451),f775(f775(f82(x76451),f80(x76451)),f775(f106(x76451),x76452))),f775(f106(x76451),x76452)),f775(f106(x76451),f775(f775(f3(a1),f775(f775(f82(a1),x76452),x76452)),a99)))
% 184.29/184.09 [8280]~P1(f775(f775(f232(a1),x82801),x82802))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x82801),x82801)),f775(f775(f3(a1),f775(f775(f82(a1),x82802),x82802)),a99)))
% 184.29/184.09 [8282]~P1(f775(f775(f232(a1),x82821),x82822))+P1(f775(f775(f232(a1),f775(f775(f82(a1),x82821),x82821)),f775(f775(f3(a1),f775(f775(f82(a1),x82822),x82822)),a99)))
% 184.29/184.09 [8685]P1(f775(f775(f232(a1),x86851),x86852))+~P1(f775(f775(f233(a1),f775(f775(f82(a1),x86851),x86851)),f775(f775(f3(a1),f775(f775(f82(a1),x86852),x86852)),a99)))
% 184.29/184.09 [8687]P1(f775(f775(f232(a1),x86871),x86872))+~P1(f775(f775(f232(a1),f775(f775(f82(a1),x86871),x86871)),f775(f775(f3(a1),f775(f775(f82(a1),x86872),x86872)),a99)))
% 184.29/184.09 [8946]~P1(f775(f775(f233(a1),x89461),x89462))+P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),x89461),x89461)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),x89462),x89462)),a99)))
% 184.29/184.09 [8948]~P1(f775(f775(f232(a1),x89481),x89482))+P1(f775(f775(f232(a1),f775(f775(f3(a1),f775(f775(f82(a1),x89481),x89481)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),x89482),x89482)),a99)))
% 184.29/184.09 [9182]P1(f775(f775(f233(a1),x91821),x91822))+~P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),x91821),x91821)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),x91822),x91822)),a99)))
% 184.29/184.09 [9184]P1(f775(f775(f232(a1),x91841),x91842))+~P1(f775(f775(f232(a1),f775(f775(f3(a1),f775(f775(f82(a1),x91841),x91841)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),x91842),x91842)),a99)))
% 184.29/184.09 [9215]~P1(f775(f63(x92151),x92152))+P1(f775(f63(f857(x92151,a844)),f775(f256(f857(x92151,a844)),f775(f775(f9(f857(x92151,a844),f857(x92151,a844),a844),f232(f857(x92151,a844))),x92152))))
% 184.29/184.09 [9262]~E(f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),x92621),f180(f857(f856(a850,a850),a844)))),f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),x92622),f180(f857(f856(a850,a850),a844)))))+P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),x92621),x92622)),a111))
% 184.29/184.09 [9348]E(f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),x93481),f180(f857(f856(a850,a850),a844)))),f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),x93482),f180(f857(f856(a850,a850),a844)))))+~P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),x93481),x93482)),a111))
% 184.29/184.09 [9382]P1(f775(f775(f232(a1),f2(a1)),f698(x93821,x93822)))+E(f775(f256(a1),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),f2(a1)))),x93821)),f775(f256(a1),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),f2(a1)))),x93822)))
% 184.29/184.09 [9872]~P9(x98721)+E(f45(x98721,f775(f256(x98721),f775(f775(f10(f857(x98721,a844),a844,x98721),f90(x98721)),f775(f775(f10(f857(x98721,a844),f857(x98721,a844),x98721),f775(f20(x98721,a844,a844),f775(f775(f10(a844,f857(a844,a844),x98721),a335),f775(f775(f9(x98721,f857(x98721,a844),a844),f334(x98721)),x98722)))),f775(f9(x98721,x98721,a844),f232(x98721)))))),f44(x98721,x98722))
% 184.29/184.09 [9892]P1(f775(f775(f334(a850),f2(a850)),x98921))+E(f775(f42(a850),f775(f256(a850),f775(f775(f20(a850,a844,a844),f775(f775(f10(a844,f857(a844,a844),a850),a331),f775(f775(f9(a850,f857(a850,a844),a844),f775(f775(f10(a850,f857(f857(a850,a844),a844),a850),f334(a850)),a114)),x98921))),f775(f775(f9(a850,a850,a844),f233(a850)),x98922)))),f775(f42(a850),f775(f256(a850),f775(f775(f20(a850,a844,a844),f775(f775(f10(a844,f857(a844,a844),a850),a331),f775(f775(f9(a850,f857(a850,a844),a844),f334(a850)),x98921))),f775(f775(f9(a850,a850,a844),f233(a850)),f775(a114,x98922))))))
% 184.29/184.09 [9939]P1(f775(f775(f279(a850),x99391),x99392))+~P1(f775(f775(f334(a850),x99392),f287(a850,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x99391)))
% 184.29/184.09 [9940]P1(f775(f775(f279(a850),x99401),x99402))+~P1(f775(f775(f334(a850),x99401),f290(a850,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x99402)))
% 184.29/184.09 [9941]~P1(f775(f775(f279(a850),x99411),x99412))+~P1(f775(f775(f334(a850),x99412),f290(a850,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x99411)))
% 184.29/184.09 [9942]~P1(f775(f775(f279(a850),x99421),x99422))+~P1(f775(f775(f334(a850),x99421),f287(a850,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x99422)))
% 184.29/184.09 [7512]~P88(x75121)+E(f775(f775(f83(x75121),x75122),f775(f106(x75121),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),x75122)
% 184.29/184.09 [7779]~P88(x77791)+E(f775(f775(f82(x77791),f775(f106(x77791),x77792)),f80(x77791)),f775(f106(x77791),f775(f775(f82(a1),x77792),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))
% 184.29/184.09 [7923]P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x79232)))+E(f775(f775(f242(a1),x79231),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),x79232),x79232)),a99))),f80(a1))
% 184.29/184.09 [9239]~P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x92392)))+E(f775(f775(f242(a1),x92391),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),x92392),x92392)),a99))),f775(f775(f88(a1,a1),f775(f775(f242(a1),x92391),f775(f106(a850),x92392))),f775(f775(f20(a1,a1,a1),f775(f775(f10(a1,f857(a1,a1),a1),f83(a1)),f775(f83(a1),x92391))),f7(a1))))
% 184.29/184.09 [9714]~P1(f775(f775(f233(a850),f775(f106(a850),x97141)),f775(a114,x97142)))+P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x97141),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f9(a1,a850,a844),f775(f775(f10(a850,f857(a850,a844),a1),f233(a850)),a107)),x97142))))
% 184.29/184.09 [9715]~P1(f775(f775(f232(a850),f775(f106(a850),x97151)),f775(a114,x97152)))+P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x97151),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f9(a1,a850,a844),f775(f775(f10(a850,f857(a850,a844),a1),f232(a850)),a107)),x97152))))
% 184.29/184.09 [9779]P1(f775(f775(f233(a850),f775(f106(a850),x97791)),f775(a114,x97792)))+~P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x97791),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f9(a1,a850,a844),f775(f775(f10(a850,f857(a850,a844),a1),f233(a850)),a107)),x97792))))
% 184.29/184.09 [9780]P1(f775(f775(f232(a850),f775(f106(a850),x97801)),f775(a114,x97802)))+~P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x97801),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f9(a1,a850,a844),f775(f775(f10(a850,f857(a850,a844),a1),f232(a850)),a107)),x97802))))
% 184.29/184.09 [9810]~P1(f775(f775(f233(a850),f775(a114,x98102)),f775(f106(a850),x98101)))+P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x98101),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f10(a850,a844,a1),f775(f233(a850),x98102)),a107)))))
% 184.29/184.09 [9811]~P1(f775(f775(f232(a850),f775(a114,x98112)),f775(f106(a850),x98111)))+P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x98111),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f10(a850,a844,a1),f775(f232(a850),x98112)),a107)))))
% 184.29/184.09 [9860]P1(f775(f775(f233(a850),f775(a114,x98601)),f775(f106(a850),x98602)))+~P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x98602),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f10(a850,a844,a1),f775(f233(a850),x98601)),a107)))))
% 184.29/184.09 [9861]P1(f775(f775(f232(a850),f775(a114,x98611)),f775(f106(a850),x98612)))+~P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x98612),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f10(a850,a844,a1),f775(f232(a850),x98611)),a107)))))
% 184.29/184.09 [9932]~P1(f775(f775(f334(a850),f2(a850)),x99321))+E(f775(a114,f775(f42(a850),f775(f256(a850),f775(f775(f20(a850,a844,a844),f775(f775(f10(a844,f857(a844,a844),a850),a331),f775(f775(f9(a850,f857(a850,a844),a844),f775(f775(f10(a850,f857(f857(a850,a844),a844),a850),f334(a850)),a114)),x99321))),f775(f775(f9(a850,a850,a844),f233(a850)),x99322))))),f775(f42(a850),f775(f256(a850),f775(f775(f20(a850,a844,a844),f775(f775(f10(a844,f857(a844,a844),a850),a331),f775(f775(f9(a850,f857(a850,a844),a844),f334(a850)),x99321))),f775(f775(f9(a850,a850,a844),f233(a850)),f775(a114,x99322))))))
% 184.29/184.09 [8464]~P88(x84641)+E(f775(f775(f83(x84641),f775(f106(x84641),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),x84642),x84642)
% 184.29/184.09 [8524]~P88(x85241)+E(f775(f775(f82(x85241),f80(x85241)),f775(f106(x85241),x85242)),f775(f106(x85241),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),x85242)))
% 184.29/184.09 [8570]~P88(x85701)+E(f775(f775(f3(x85701),f775(f106(x85701),x85702)),f80(x85701)),f775(f106(x85701),f775(f775(f82(a1),x85702),f775(f81(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.09 [8703]~P1(f775(f775(f233(a850),f775(f106(a850),a85)),x87032))+E(f775(f775(f3(a850),x87031),f775(f775(f3(a850),x87032),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(f775(f3(a850),f775(a114,x87031)),x87032))
% 184.29/184.09 [9278]~P85(x92781)+E(f775(f775(f83(x92781),x92782),x92782),f775(f775(f242(x92781),x92782),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.09 [9279]~P75(x92791)+E(f775(f775(f242(x92791),x92792),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(f775(f83(x92791),x92792),x92792))
% 184.29/184.09 [9281]~P88(x92811)+E(f775(f775(f83(x92811),x92812),f775(f106(x92811),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(f775(f82(x92811),x92812),x92812))
% 184.29/184.09 [9514]~P133(x95141)+E(f775(f775(f242(x95141),f775(f81(x95141),x95142)),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(f775(f242(x95141),x95142),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.09 [9515]~P110(x95151)+E(f775(f775(f242(x95151),f775(f77(x95151),x95152)),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(f775(f242(x95151),x95152),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.09 [9511]~P88(x95111)+E(f775(f775(f83(x95111),f775(f106(x95111),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x95112),f775(f775(f82(x95111),x95112),x95112))
% 184.29/184.09 [9625]~P110(x96251)+E(f775(f77(x96251),f775(f775(f242(x96251),x96252),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x96251),x96252),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.09 [9675]~P110(x96751)+P1(f775(f775(f232(x96751),f2(x96751)),f775(f775(f242(x96751),x96752),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.29/184.09 [9851]~E(f775(a114,x98512),f775(f106(a850),x98511))+P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x98511),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f9(a1,a850,a844),f775(f775(f10(a850,f857(a850,a844),a1),a330),a107)),x98512)))))
% 184.29/184.09 [9852]~E(f775(f106(a850),x98521),f775(a114,x98522))+P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x98521),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f9(a1,a850,a844),f775(f775(f10(a850,f857(a850,a844),a1),a330),a107)),x98522)))))
% 184.29/184.09 [9895]E(f775(a114,x98951),f775(f106(a850),x98952))+~P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x98952),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f9(a1,a850,a844),f775(f775(f10(a850,f857(a850,a844),a1),a330),a107)),x98951)))))
% 184.29/184.09 [9896]E(f775(f106(a850),x98961),f775(a114,x98962))+~P1(f775(f775(f88(a1,a844),f775(f106(a1),f775(f775(f82(a1),x98961),a99))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a335),f775(f775(f10(a844,a844,a1),a328),a186))),f775(f775(f9(a1,a850,a844),f775(f775(f10(a850,f857(a850,a844),a1),a330),a107)),x98962)))))
% 184.29/184.09 [9673]~P88(x96731)+E(f775(f775(f242(x96731),f775(f106(x96731),a99)),f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x96732)),f80(x96731))
% 184.29/184.09 [9674]~P133(x96741)+E(f775(f775(f242(x96741),f775(f81(x96741),f80(x96741))),f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x96742)),f80(x96741))
% 184.29/184.09 [9677]~P75(x96771)+E(f775(f775(f242(x96771),x96772),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),a99))),f775(f775(f83(x96771),f775(f775(f83(x96771),x96772),x96772)),x96772))
% 184.29/184.09 [9875]~P1(f775(f775(f232(a1),f2(a1)),x98752))+E(f52(a1,f775(f775(f82(a1),f80(a1)),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x98751)),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x98752)),f775(f775(f82(a1),f80(a1)),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f52(a1,x98751,x98752))))
% 184.29/184.09 [9898]~P1(f775(f775(f232(a1),f2(a1)),x98982))+E(f775(f775(f43(a1),f775(f775(f82(a1),f80(a1)),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x98981))),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x98982)),f775(f775(f43(a1),x98981),x98982))
% 184.29/184.09 [9900]~P1(f775(f775(f232(a1),x99002),f2(a1)))+E(f775(f775(f43(a1),f775(f775(f82(a1),f80(a1)),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x99001))),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x99002)),f775(f775(f43(a1),f775(f775(f82(a1),x99001),f80(a1))),x99002))
% 184.29/184.09 [9901]~P1(f775(f775(f232(a1),x99012),f2(a1)))+E(f52(a1,f775(f775(f82(a1),f80(a1)),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x99011)),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x99012)),f775(f775(f3(a1),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f52(a1,f775(f775(f82(a1),x99011),f80(a1)),x99012))),f80(a1)))
% 184.29/184.09 [9770]~P88(x97701)+E(f775(f775(f242(x97701),f775(f106(x97701),a99)),f775(a114,f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97702))),f775(f106(x97701),a99))
% 184.29/184.09 [9772]~P133(x97721)+E(f775(f775(f242(x97721),f775(f81(x97721),f80(x97721))),f775(a114,f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97722))),f775(f81(x97721),f80(x97721)))
% 184.29/184.09 [5994]E(x59941,x59942)+~P39(a25,x59941,x59943,x59942)
% 184.29/184.09 [5006]~P36(x50061,x50063)+P36(x50061,f327(x50061,x50062,x50063))
% 184.29/184.09 [5170]P31(x51701,x51702,x51703)+~P31(x51701,f775(a114,x51702),x51703)
% 184.29/184.09 [5253]~P12(x52531,x52532,x52533)+P12(f851(x52531),f149(x52531,x52532),f147(x52531,x52533))
% 184.29/184.09 [5254]~P47(x52541,x52542,x52543)+P47(f851(x52541),f149(x52541,x52542),f147(x52541,x52543))
% 184.29/184.09 [5363]P54(x53631,x53632,x53633)+~E(f626(x53633,x53632,x53631),f627(x53633,x53632,x53631))
% 184.29/184.09 [5364]P53(x53641,x53642,x53643)+~E(f639(x53643,x53642,x53641),f640(x53643,x53642,x53641))
% 184.29/184.09 [6316]P32(x63161,x63162,x63163)+~P31(x63161,f669(x63163,x63162,x63161),f781(x63163,x63162,x63161))
% 184.29/184.09 [4563]~E(x45631,f183(x45632))+~E(x45631,f775(f227(x45632),x45633))
% 184.29/184.09 [4612]~E(f775(f142(x46122),x46121),x46123)+E(x46121,f775(f142(x46122),x46123))
% 184.29/184.09 [4613]~E(x46132,f775(f142(x46131),x46133))+E(f775(f142(x46131),x46132),x46133)
% 184.29/184.09 [4657]E(x46571,x46572)+~E(f775(f227(x46573),x46571),f775(f227(x46573),x46572))
% 184.29/184.09 [4658]E(x46581,x46582)+~E(f775(f142(x46583),x46581),f775(f142(x46583),x46582))
% 184.29/184.09 [4856]~P11(x48563,x48561)+P1(f775(f775(x48561,x48562),x48562))
% 184.29/184.09 [4857]~P49(x48573,x48571)+P1(f775(f775(x48571,x48572),x48572))
% 184.29/184.09 [4859]~P58(x48591,x48592)+P1(f775(f321(x48591,x48592),x48593))
% 184.29/184.09 [4921]~P36(x49211,x49212)+P36(f851(x49211),f775(f133(x49211,x49212),x49213))
% 184.29/184.09 [4925]~P1(f775(x49252,x49253))+~E(f775(f256(x49251),x49252),f180(f857(x49251,a844)))
% 184.29/184.09 [4926]~P1(f775(x49262,x49263))+~E(f180(f857(x49261,a844)),f775(f256(x49261),x49262))
% 184.29/184.09 [4962]~P1(f775(x49621,x49623))+P1(f775(x49621,f92(x49622,x49621)))
% 184.29/184.09 [5086]~E(x50862,x50863)+P1(f775(f775(f334(x50861),x50862),f775(a330,x50863)))
% 184.29/184.09 [5139]E(f775(f142(x51391),x51392),f775(f775(f140(x51391),x51393),f115(x51391)))+~E(x51392,f775(f775(f140(x51391),x51393),f115(x51391)))
% 184.29/184.09 [5140]~E(x51403,f775(f775(f140(x51401),x51402),f115(x51401)))+E(f775(f775(f140(x51401),x51402),f115(x51401)),f775(f142(x51401),x51403))
% 184.29/184.09 [5165]~E(x51653,f775(f18(f854(x51652),x51651),f183(x51652)))+E(f169(x51651,x51652,x51653),f180(f857(x51651,a844)))
% 184.29/184.09 [5186]E(f775(f42(x51861),f374(x51862,x51863,x51861)),x51862)+~E(f775(f42(x51861),x51863),f775(a114,x51862))
% 184.29/184.09 [5192]~P36(x51921,x51923)+P1(f775(f775(f334(x51921),x51922),f322(x51921,x51923)))
% 184.29/184.09 [5195]~E(f775(f142(x51952),x51951),f775(f775(f140(x51952),x51953),f115(x51952)))+E(x51951,f775(f775(f140(x51952),x51953),f115(x51952)))
% 184.29/184.09 [5196]~E(f775(f775(f140(x51962),x51963),f115(x51962)),f775(f142(x51962),x51961))+E(x51961,f775(f775(f140(x51962),x51963),f115(x51962)))
% 184.29/184.09 [5211]E(x52111,f775(f18(f854(x52112),x52113),f183(x52112)))+~E(f169(x52113,x52112,x52111),f180(f857(x52113,a844)))
% 184.29/184.09 [5217]E(f87(f856(a850,a850),f55(x52171,x52172)),x52173)+~P1(f775(f55(x52171,x52172),x52173))
% 184.29/184.09 [5225]~E(x52253,f775(f227(x52251),x52252))+P1(f775(f775(f334(x52251),x52252),f226(x52251,x52253)))
% 184.29/184.09 [5315]~E(x53152,f115(x53151))+P1(f775(f775(f334(f851(x53151)),x53152),f149(x53151,x53153)))
% 184.29/184.09 [5323]~P47(x53231,x53232,x53233)+P47(x53231,x53232,f775(f278(x53231,x53231),x53233))
% 184.29/184.09 [5324]~P54(x53241,x53242,x53243)+P54(x53241,x53242,f775(f278(x53241,x53241),x53243))
% 184.29/184.09 [5344]~P7(x53441)+E(f52(x53441,f52(x53441,x53442,x53443),x53443),f52(x53441,x53442,x53443))
% 184.29/184.09 [5441]E(x54411,x54412)+~P1(f775(f775(f334(x54413),x54411),f775(a330,x54412)))
% 184.29/184.09 [5484]~P2(x54841)+E(f182(x54841,x54842,f2(a850),x54843),x54843)
% 184.29/184.09 [5504]P47(x55041,x55042,x55043)+~P47(x55041,x55042,f775(f278(x55041,x55041),x55043))
% 184.29/184.09 [5505]P54(x55051,x55052,x55053)+~P54(x55051,x55052,f775(f278(x55051,x55051),x55053))
% 184.29/184.09 [5526]E(x55261,f775(f227(x55262),x55263))+~P1(f775(f775(f334(x55262),x55263),f226(x55262,x55261)))
% 184.29/184.09 [5608]~P1(f775(a26,x56083))+P1(f775(a26,f32(x56081,x56082,x56083)))
% 184.29/184.09 [5620]E(f775(f126(x56201,x56202),x56203),f115(x56201))+P1(f775(x56202,f746(x56203,x56202,x56201)))
% 184.29/184.09 [5776]~P1(f775(f127(x57761),x57763))+P1(f775(f127(x57761),f151(x57761,x57762,x57763)))
% 184.29/184.09 [5777]~P1(f775(f127(x57771),x57772))+P1(f775(f127(x57771),f160(x57771,x57772,x57773)))
% 184.29/184.09 [5778]~P1(f775(f127(x57781),x57783))+P1(f775(f127(x57781),f162(x57781,x57782,x57783)))
% 184.29/184.09 [5779]~P140(x57791,x57793,x57792)+P1(f775(x57791,f52(a1,x57792,x57793)))
% 184.29/184.09 [5878]P1(f775(a26,f31(x58781,x58782,x58783)))+~P1(f775(a26,f775(a27,x58782)))
% 184.29/184.09 [5890]~P99(x58901)+E(f775(f775(f104(f857(x58901,a844)),f775(f257(x58901),x58902)),f295(x58901,x58902,x58903)),f180(f857(x58901,a844)))
% 184.29/184.09 [5891]~P99(x58911)+E(f775(f775(f104(f857(x58911,a844)),f775(f293(x58911),x58912)),f297(x58911,x58912,x58913)),f180(f857(x58911,a844)))
% 184.29/184.09 [5892]~P99(x58921)+E(f775(f775(f104(f857(x58921,a844)),f775(f293(x58921),x58922)),f298(x58921,x58922,x58923)),f180(f857(x58921,a844)))
% 184.29/184.09 [6043]P1(f775(a26,x60431))+~P1(f775(a26,f32(x60432,x60433,x60431)))
% 184.29/184.09 [6045]P1(f775(a26,x60451))+~P1(f775(a26,f33(x60452,x60453,x60451)))
% 184.29/184.09 [6047]P1(f775(a26,x60471))+~P1(f775(a26,f33(x60472,x60471,x60473)))
% 184.29/184.09 [6127]E(f775(f126(x61271,x61272),x61273),x61273)+~P1(f775(x61272,f758(x61273,x61272,x61271)))
% 184.29/184.09 [6129]E(f775(f775(f302(x61291),f414(x61292,x61293,x61291)),f374(x61292,x61293,x61291)),x61293)+~E(f775(f42(x61291),x61293),f775(a114,x61292))
% 184.29/184.09 [6144]P140(x61441,x61442,x61443)+~P1(f775(x61441,f52(a1,x61443,x61442)))
% 184.29/184.09 [6196]E(f162(x61961,x61962,x61963),x61963)+~P1(f775(x61962,f767(x61963,x61962,x61961)))
% 184.29/184.09 [6237]~P1(f775(a26,f31(x62372,x62371,x62373)))+P1(f775(a26,f775(a27,x62371)))
% 184.29/184.09 [6285]~P1(f775(x62852,f820(x62853,x62852,x62851)))+P1(f775(f245(x62851,x62852),x62853))
% 184.29/184.09 [6545]~P1(f775(f321(x65451,x65452),f821(x65453,x65452,x65451)))+P1(f775(f321(x65451,x65452),x65453))
% 184.29/184.09 [6546]~P1(f775(f321(x65461,x65462),f822(x65463,x65462,x65461)))+P1(f775(f321(x65461,x65462),x65463))
% 184.29/184.09 [7181]~P7(x71811)+E(f775(f775(f82(x71811),f775(f775(f83(x71811),x71812),f775(f775(f43(x71811),x71813),x71812))),f52(x71811,x71813,x71812)),x71813)
% 184.29/184.09 [7669]E(f775(f775(f241(x76691,x76691),f472(x76692,x76693,x76691)),f472(x76692,x76693,x76691)),x76693)+~P1(f775(f775(f334(f856(x76691,x76691)),x76693),f260(x76691,x76692)))
% 184.29/184.09 [7788]~P1(f775(f775(f334(x77881),f526(x77883,x77882,x77881)),f322(x77881,x77883)))+P1(f775(f775(f334(x77881),x77882),f322(x77881,x77883)))
% 184.29/184.09 [7789]~P1(f775(f775(f334(x77891),f619(x77893,x77892,x77891)),f322(x77891,x77893)))+P1(f775(f775(f334(x77891),x77892),f322(x77891,x77893)))
% 184.29/184.09 [7790]~P1(f775(f775(f334(x77901),f621(x77903,x77902,x77901)),f322(x77901,x77903)))+P1(f775(f775(f334(x77901),x77902),f322(x77901,x77903)))
% 184.29/184.09 [7976]~P7(x79761)+E(f775(f775(f82(x79761),f775(f775(f83(x79761),f775(f775(f43(x79761),x79762),x79763)),x79763)),f52(x79761,x79762,x79763)),x79762)
% 184.29/184.09 [8017]~E(f775(f42(x80171),x80172),f775(a114,x80173))+~P1(f775(f775(f334(x80171),f414(x80173,x80172,x80171)),f374(x80173,x80172,x80171)))
% 184.29/184.09 [8618]P1(f775(f775(f232(f857(f856(x86181,x86181),a844)),f300(x86181,x86182)),f300(x86181,x86183)))+~P1(f775(f775(f232(f857(f856(x86181,x86181),a844)),x86182),f300(x86181,x86183)))
% 184.29/184.09 [8856]E(x88561,f115(x88562))+~P1(f775(f775(f334(f856(f851(x88562),f851(x88562))),f775(f775(f241(f851(x88562),f851(x88562)),x88561),f115(x88562))),f147(x88562,x88563)))
% 184.29/184.09 [8882]E(x88821,f115(x88822))+~P1(f775(f775(f334(f856(f851(x88822),f851(x88822))),f775(f775(f241(f851(x88822),f851(x88822)),f115(x88822)),x88821)),f147(x88822,x88823)))
% 184.29/184.09 [9009]E(f775(f775(f140(x90091),f749(x90092,x90093,x90091)),f750(x90092,x90093,x90091)),x90093)+~P1(f775(f775(f334(f856(f851(x90091),f851(x90091))),f775(f775(f241(f851(x90091),f851(x90091)),f115(x90091)),x90093)),f137(x90091,x90092)))
% 184.29/184.09 [9208]~P118(x92081)+~P1(f775(f775(f233(x92081),f775(f775(f82(x92081),f775(f775(f83(x92081),x92082),x92082)),f775(f775(f83(x92081),x92083),x92083))),f2(x92081)))
% 184.29/184.09 [9257]P1(f775(f63(x92571),x92572))+~P1(f775(f775(f334(f856(f857(x92571,a844),f857(x92571,a844))),f775(f775(f241(f857(x92571,a844),f857(x92571,a844)),x92573),x92572)),f299(x92571)))
% 184.29/184.09 [9535]~P45(x95351,x95352,x95353)+P1(f775(f775(f233(a1),f775(f775(f75(f856(a1,a1),a1,x95351,f240(a1,a1)),f207(x95351)),f224(x95351,x95352,f221(x95351,x95353)))),f2(a1)))
% 184.29/184.09 [9536]~P46(x95361,x95362,x95363)+P1(f775(f775(f232(a1),f775(f775(f75(f856(a1,a1),a1,x95361,f240(a1,a1)),f207(x95361)),f224(x95361,x95362,f221(x95361,x95363)))),f2(a1)))
% 184.29/184.09 [9650]P45(x96501,x96502,x96503)+~P1(f775(f775(f233(a1),f775(f775(f75(f856(a1,a1),a1,x96501,f240(a1,a1)),f207(x96501)),f224(x96501,x96502,f221(x96501,x96503)))),f2(a1)))
% 184.29/184.09 [9651]P46(x96511,x96512,x96513)+~P1(f775(f775(f232(a1),f775(f775(f75(f856(a1,a1),a1,x96511,f240(a1,a1)),f207(x96511)),f224(x96511,x96512,f221(x96511,x96513)))),f2(a1)))
% 184.29/184.09 [9981]~P110(x99811)+~P1(f775(f775(f233(x99811),f775(f775(f82(x99811),f775(f775(f242(x99811),x99812),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x99811),x99813),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))),f2(x99811)))
% 184.29/184.09 [4641]~E(x46413,f115(x46411))+E(f775(f775(f125(x46411),x46412),x46413),x46412)
% 184.29/184.09 [4642]~E(x46422,f115(x46421))+E(f775(f775(f125(x46421),x46422),x46423),x46423)
% 184.29/184.09 [4648]~E(x46482,f2(a850))+E(f775(f775(f159(x46481),x46482),x46483),f115(x46481))
% 184.29/184.09 [4652]~E(x46523,f115(x46521))+E(f775(f775(f159(x46521),x46522),x46523),f115(x46521))
% 184.29/184.09 [4691]~E(x46911,x46913)+E(x46911,f775(f775(f125(x46912),f115(x46912)),x46913))
% 184.29/184.09 [4772]~P106(x47722)+E(f775(f239(f857(x47721,x47722)),x47723),f239(x47722))
% 184.29/184.09 [4774]~P101(x47742)+E(f775(f180(f857(x47741,x47742)),x47743),f180(x47742))
% 184.29/184.09 [4793]E(x47931,f115(x47932))+~E(f775(f775(f125(x47932),x47933),x47931),x47933)
% 184.29/184.09 [4794]E(x47941,f115(x47942))+~E(f775(f775(f125(x47942),x47941),x47943),x47943)
% 184.29/184.09 [4802]E(x48021,f115(x48022))+~E(f775(f775(f125(x48022),x48023),x48021),f115(x48022))
% 184.29/184.09 [4803]E(x48031,f115(x48032))+~E(f775(f775(f125(x48032),x48031),x48033),f115(x48032))
% 184.29/184.09 [4828]~E(x48282,f2(a850))+E(f775(f775(f83(a850),x48281),x48282),f775(f775(f83(a850),x48283),x48282))
% 184.29/184.09 [4830]~E(x48301,f2(a850))+E(f775(f775(f83(a850),x48301),x48302),f775(f775(f83(a850),x48301),x48303))
% 184.29/184.09 [4883]~P85(x48831)+E(f775(f775(f82(x48831),x48832),x48833),f775(f775(f82(x48831),x48833),x48832))
% 184.29/184.09 [4884]~P85(x48841)+E(f775(f775(f83(x48841),x48842),x48843),f775(f775(f83(x48841),x48843),x48842))
% 184.29/184.09 [4886]~P100(x48861)+E(f775(f775(f236(x48861),x48862),x48863),f775(f775(f236(x48861),x48863),x48862))
% 184.29/184.09 [4888]~P100(x48881)+E(f775(f775(f179(x48881),x48882),x48883),f775(f775(f179(x48881),x48883),x48882))
% 184.29/184.09 [4890]~P92(x48901)+E(f775(f775(f103(x48901),x48902),x48903),f775(f775(f103(x48901),x48903),x48902))
% 184.29/184.09 [4891]~P93(x48911)+E(f775(f775(f103(x48911),x48912),x48913),f775(f775(f103(x48911),x48913),x48912))
% 184.29/184.09 [4892]~P93(x48921)+E(f775(f775(f104(x48921),x48922),x48923),f775(f775(f104(x48921),x48923),x48922))
% 184.29/184.09 [4894]~P98(x48941)+E(f775(f775(f104(x48941),x48942),x48943),f775(f775(f104(x48941),x48943),x48942))
% 184.29/184.09 [4957]E(f52(a850,x49571,x49572),f2(a850))+~E(x49571,f775(f775(f83(a850),x49572),x49573))
% 184.29/184.09 [4958]E(f52(a1,x49581,x49582),f2(a1))+~E(x49581,f775(f775(f83(a1),x49582),x49583))
% 184.29/184.09 [5018]E(x50181,x50182)+~E(f775(f775(f82(a850),x50183),x50181),f775(f775(f82(a850),x50183),x50182))
% 184.29/184.09 [5019]E(x50191,x50192)+~E(f775(f775(f82(a850),x50191),x50193),f775(f775(f82(a850),x50192),x50193))
% 184.29/184.09 [5029]~P69(x50291)+E(f775(f775(f82(x50291),x50292),f775(f81(x50291),x50293)),f775(f775(f3(x50291),x50292),x50293))
% 184.29/184.09 [5030]~P104(x50301)+E(f775(f775(f82(x50301),x50302),f775(f81(x50301),x50303)),f775(f775(f3(x50301),x50302),x50303))
% 184.29/184.09 [5031]~P6(x50311)+E(f775(f775(f82(x50311),x50312),f775(f81(x50311),x50313)),f775(f775(f3(x50311),x50312),x50313))
% 184.29/184.09 [5032]~P90(x50321)+E(f775(f775(f104(x50321),x50322),f775(f81(x50321),x50323)),f775(f775(f3(x50321),x50322),x50323))
% 184.29/184.09 [5033]~P69(x50331)+E(f775(f775(f3(x50331),x50332),f775(f81(x50331),x50333)),f775(f775(f82(x50331),x50332),x50333))
% 184.29/184.09 [5080]~P1(f775(x50803,x50802))+P1(f775(f775(f334(x50801),x50802),x50803))
% 184.29/184.09 [5082]~P66(x50822)+E(f775(f775(f8(x50821,x50822),x50823),f180(f857(x50821,a844))),f2(x50822))
% 184.29/184.09 [5084]~P70(x50842)+E(f775(f775(f11(x50841,x50842),x50843),f180(f857(x50841,a844))),f80(x50842))
% 184.29/184.09 [5129]~E(x51292,f775(f775(f82(a850),x51291),x51293))+P1(f775(f775(f232(a850),x51291),x51292))
% 184.29/184.09 [5131]~E(x51312,f180(f857(x51311,a844)))+E(f775(f775(f61(x51311),x51312),x51313),f180(f857(f857(x51311,a844),a844)))
% 184.29/184.09 [5132]~E(x51322,f180(f857(x51321,a844)))+E(f180(f857(f857(x51321,a844),a844)),f775(f775(f61(x51321),x51322),x51323))
% 184.29/184.09 [5199]~E(f775(f259(x51992,x51993),x51991),f180(f857(x51993,a844)))+E(x51991,f180(f857(f856(x51992,x51993),a844)))
% 184.29/184.09 [5200]~E(f775(f261(x52002,x52003),x52001),f180(f857(x52002,a844)))+E(x52001,f180(f857(f856(x52002,x52003),a844)))
% 184.29/184.09 [5231]E(f775(f259(x52311,x52312),x52313),f180(f857(x52312,a844)))+~E(x52313,f180(f857(f856(x52311,x52312),a844)))
% 184.29/184.09 [5232]E(f775(f261(x52321,x52322),x52323),f180(f857(x52321,a844)))+~E(x52323,f180(f857(f856(x52321,x52322),a844)))
% 184.29/184.09 [5235]E(f269(x52351,x52352,x52353),f775(f775(f3(a101),x52352),x52353))+P1(f775(f775(f233(a101),x52352),x52353))
% 184.29/184.09 [5251]P1(f775(x52511,x52512))+~P1(f775(f775(f334(x52513),x52512),x52511))
% 184.29/184.09 [5287]E(x52871,x52872)+~E(f775(f81(f857(x52873,a844)),x52871),f775(f81(f857(x52873,a844)),x52872))
% 184.29/184.09 [5292]E(f307(x52921,x52922,x52923),f183(f851(a842)))+~P1(f775(f775(f233(a1),x52922),x52923))
% 184.29/184.09 [5297]~E(x52971,f180(f857(x52972,a844)))+~P1(f775(f775(f334(x52972),x52973),x52971))
% 184.29/184.09 [5325]~E(x53252,f775(f775(f82(a1),x53251),f775(f102(a1),x53253)))+P1(f775(f775(f232(a1),x53251),x53252))
% 184.29/184.09 [5341]E(f775(f775(f302(x53411),x53412),x53413),x53413)+~P1(f775(f775(f334(x53411),x53412),x53413))
% 184.29/184.09 [5353]E(x53531,f180(f857(x53532,a844)))+~E(f775(f775(f61(x53532),x53531),x53533),f180(f857(f857(x53532,a844),a844)))
% 184.29/184.09 [5354]E(x53541,f180(f857(x53542,a844)))+~E(f180(f857(f857(x53542,a844),a844)),f775(f775(f61(x53542),x53541),x53543))
% 184.29/184.09 [5360]~P121(x53601)+E(f775(f775(f83(x53601),f775(f81(x53601),x53602)),f775(f81(x53601),x53603)),f775(f775(f83(x53601),x53602),x53603))
% 184.29/184.09 [5362]~P60(x53621)+E(f775(f775(f283(x53621),f775(f81(x53621),x53622)),f775(f81(x53621),x53623)),f775(f775(f283(x53621),x53622),x53623))
% 184.29/184.09 [5394]~P1(f775(x53943,x53942))+P1(f775(f775(f334(x53941),x53942),f775(f256(x53941),x53943)))
% 184.29/184.09 [5434]E(f151(x54341,x54342,x54343),x54343)+P1(f775(f775(f334(x54341),x54342),f775(f158(x54341),x54343)))
% 184.29/184.09 [5512]~P1(f775(f127(x55121),x55123))+P1(f775(f127(x55121),f775(f126(x55121,x55122),x55123)))
% 184.29/184.09 [5554]~P7(x55541)+E(f775(f775(f43(x55541),f52(x55541,x55542,x55543)),x55543),f2(x55541))
% 184.29/184.09 [5572]E(f160(x55721,f775(f775(f140(x55721),x55722),f115(x55721)),x55723),f115(x55721))+P1(f775(f775(f334(a850),f2(a850)),x55723))
% 184.29/184.09 [5637]E(x56371,x56372)+~E(f775(f775(f83(a850),f775(a114,x56373)),x56371),f775(f775(f83(a850),f775(a114,x56373)),x56372))
% 184.29/184.09 [5638]~E(x56382,f775(f775(f82(a1),x56381),f775(f102(a1),f775(a114,x56383))))+P1(f775(f775(f233(a1),x56381),x56382))
% 184.29/184.09 [5756]~E(x57563,f115(x57561))+E(f775(f775(f775(f173(f851(x57561),f851(x57561)),x57562),f141(x57561)),x57563),f115(x57561))
% 184.29/184.09 [5760]P1(f775(x57601,x57602))+~P1(f775(f775(f334(x57603),x57602),f775(f256(x57603),x57601)))
% 184.29/184.09 [5794]E(x57941,x57942)+~E(f775(f775(f302(x57943),x57941),f180(f857(x57943,a844))),f775(f775(f302(x57943),x57942),f180(f857(x57943,a844))))
% 184.29/184.09 [5804]~P99(x58041)+E(f775(f775(f104(f857(x58041,a844)),f775(f257(x58041),x58042)),f775(f294(x58041,x58042),x58043)),f180(f857(x58041,a844)))
% 184.29/184.09 [5864]~P77(x58641)+E(f775(f303(x58641,x58641,f81(x58641)),f775(f294(x58641,x58642),x58643)),f297(x58641,f775(f81(x58641),x58643),f775(f81(x58641),x58642)))
% 184.29/184.09 [5872]E(f775(f181(f851(x58721)),f151(x58721,x58722,x58723)),f775(f181(f851(x58721)),x58723))+P1(f775(f775(f334(x58721),x58722),f775(f158(x58721),x58723)))
% 184.29/184.09 [5929]~P99(x59291)+E(f775(f775(f104(f857(x59291,a844)),f775(f294(x59291,x59292),x59293)),f775(f258(x59291),x59293)),f180(f857(x59291,a844)))
% 184.29/184.09 [5950]~P77(x59501)+E(f775(f303(x59501,x59501,f81(x59501)),f295(x59501,x59502,x59503)),f295(x59501,f775(f81(x59501),x59503),f775(f81(x59501),x59502)))
% 184.29/184.09 [5951]~P77(x59511)+E(f775(f303(x59511,x59511,f81(x59511)),f298(x59511,x59512,x59513)),f298(x59511,f775(f81(x59511),x59513),f775(f81(x59511),x59512)))
% 184.29/184.09 [6010]E(f160(x60101,f775(f775(f140(x60101),x60102),f115(x60101)),x60103),f775(f775(f140(x60101),x60102),f115(x60101)))+~P1(f775(f775(f334(a850),f2(a850)),x60103))
% 184.29/184.09 [6018]~P77(x60181)+E(f775(f303(x60181,x60181,f81(x60181)),f297(x60181,x60182,x60183)),f775(f294(x60181,f775(f81(x60181),x60183)),f775(f81(x60181),x60182)))
% 184.29/184.09 [6038]~P8(x60381)+E(f52(x60381,f775(f81(x60381),f52(x60381,x60382,x60383)),x60383),f52(x60381,f775(f81(x60381),x60382),x60383))
% 184.29/184.09 [6142]~P1(f775(f63(f856(x61422,x61421)),x61423))+P1(f775(f63(x61421),f775(f259(x61422,x61421),x61423)))
% 184.29/184.09 [6143]~P1(f775(f63(f856(x61431,x61432)),x61433))+P1(f775(f63(x61431),f775(f261(x61431,x61432),x61433)))
% 184.29/184.09 [6148]~P99(x61481)+E(f775(f775(f104(f857(x61481,a844)),f295(x61481,x61482,x61483)),f775(f296(x61481),x61483)),f180(f857(x61481,a844)))
% 184.29/184.09 [6149]~P99(x61491)+E(f775(f775(f104(f857(x61491,a844)),f297(x61491,x61492,x61493)),f775(f296(x61491),x61493)),f180(f857(x61491,a844)))
% 184.29/184.09 [6150]~P99(x61501)+E(f775(f775(f104(f857(x61501,a844)),f298(x61501,x61502,x61503)),f775(f258(x61501),x61503)),f180(f857(x61501,a844)))
% 184.29/184.09 [6219]E(f775(f775(f153(x62191),x62192),f729(x62192,x62193,x62191)),x62193)+~P1(f775(f775(f334(x62191),x62193),f775(f158(x62191),x62192)))
% 184.29/184.09 [6371]E(x63711,f115(x63712))+~E(f775(f775(f775(f173(f851(x63712),f851(x63712)),x63713),f141(x63712)),x63711),f115(x63712))
% 184.29/184.09 [6450]P39(x64501,x64502,f407(x64503,x64502,x64501),x64503)+~P1(f775(f775(f187(x64501),x64502),x64503))
% 184.29/184.09 [6451]P39(x64511,x64512,f521(x64513,x64512,x64511),x64513)+~P1(f775(f775(f187(x64511),x64512),x64513))
% 184.29/184.09 [6481]~P1(f775(f63(f856(x64812,x64811)),x64813))+P1(f775(f63(f856(x64811,x64812)),f775(f278(x64812,x64811),x64813)))
% 184.29/184.09 [6503]E(x65031,x65032)+~E(f282(a850,f279(a850),x65033,x65031),f775(f775(f302(a850),x65032),f180(f857(a850,a844))))
% 184.29/184.09 [6504]E(x65041,x65042)+~E(f282(a850,f279(a850),x65041,x65042),f775(f775(f302(a850),x65043),f180(f857(a850,a844))))
% 184.29/184.09 [6641]P54(x66411,x66412,x66413)+P1(f775(f775(f334(x66411),f627(x66413,x66412,x66411)),x66412))
% 184.29/184.09 [6642]P54(x66421,x66422,x66423)+P1(f775(f775(f334(x66421),f626(x66423,x66422,x66421)),x66422))
% 184.29/184.09 [6654]P1(f775(f321(x66541,x66542),x66543))+P1(f775(f775(x66542,f821(x66543,x66542,x66541)),x66543))
% 184.29/184.09 [6655]P1(f775(f321(x66551,x66552),x66553))+P1(f775(f775(x66552,f822(x66553,x66552,x66551)),x66553))
% 184.29/184.09 [6686]E(f775(f181(f851(x66861)),f151(x66861,x66862,x66863)),f775(f775(f3(a850),f775(f181(f851(x66861)),x66863)),f80(a850)))+~P1(f775(f775(f334(x66861),x66862),f775(f158(x66861),x66863)))
% 184.29/184.09 [6727]P1(f775(f245(x67271,x67272),x67273))+P1(f775(f775(f334(x67271),f820(x67273,x67272,x67271)),x67273))
% 184.29/184.09 [6740]~P1(f775(f63(f856(x67402,x67401)),f775(f278(x67401,x67402),x67403)))+P1(f775(f63(f856(x67401,x67402)),x67403))
% 184.29/184.09 [6801]~P1(f775(f775(f334(x68011),x68012),f775(f158(x68011),f116(x68011,x68013))))+P1(f775(f775(f334(x68011),x68012),f775(f158(x68011),x68013)))
% 184.29/184.09 [6808]P32(x68081,x68082,x68083)+P1(f775(f775(f334(f849(x68081)),f781(x68083,x68082,x68081)),x68083))
% 184.29/184.09 [6837]E(f775(f126(x68371,x68372),x68373),x68373)+P1(f775(f775(f334(x68371),f758(x68373,x68372,x68371)),f775(f158(x68371),x68373)))
% 184.29/184.09 [6854]E(f775(f126(x68541,x68542),x68543),f115(x68541))+P1(f775(f775(f334(x68541),f746(x68543,x68542,x68541)),f775(f158(x68541),x68543)))
% 184.29/184.09 [6882]E(f162(x68821,x68822,x68823),x68823)+P1(f775(f775(f334(x68821),f767(x68823,x68822,x68821)),f775(f158(x68821),x68823)))
% 184.29/184.09 [7004]P1(f775(f775(f334(x70041),x70042),f696(x70043,x70042,x70041)))+~P1(f775(f775(f334(x70041),x70042),f44(f857(x70041,a844),x70043)))
% 184.29/184.09 [7006]~P66(x70061)+E(f775(f775(f82(x70061),f775(f775(f8(a850,x70061),x70062),f775(f257(a850),x70063))),f775(x70062,x70063)),f775(f775(f8(a850,x70061),x70062),f775(f257(a850),f775(a114,x70063))))
% 184.29/184.09 [7111]~P1(f775(f775(f334(x71111),x71112),f685(x71112,x71113,x71111)))+P1(f775(f775(f334(x71111),x71112),f45(f857(x71111,a844),x71113)))
% 184.29/184.09 [7140]~P66(x71401)+E(f775(f775(f82(x71401),f775(f775(f8(a850,x71401),x71402),f775(f293(a850),x71403))),f775(x71402,f775(a114,x71403))),f775(f775(f8(a850,x71401),x71402),f775(f293(a850),f775(a114,x71403))))
% 184.29/184.09 [7294]P1(f775(f775(f334(f851(x72941)),x72942),f149(x72941,x72943)))+P1(f775(f775(f334(x72941),f745(x72943,x72942,x72941)),f775(f158(x72941),x72942)))
% 184.29/184.09 [7311]~P1(f775(f775(f334(f851(x73111)),x73112),f149(x73111,f322(x73111,x73113))))+P1(f775(f775(f334(f851(x73111)),x73112),f322(f851(x73111),f146(x73111,x73113))))
% 184.29/184.09 [7339]~P1(f775(f775(f334(f851(x73391)),x73392),f322(f851(x73391),f146(x73391,x73393))))+P1(f775(f775(f334(f851(x73391)),x73392),f149(x73391,f322(x73391,x73393))))
% 184.29/184.09 [7379]E(f775(f775(f775(f173(f851(x73791),f851(x73791)),x73792),f141(x73791)),x73793),x73793)+~P1(f775(f775(f232(a850),f775(f181(f851(x73791)),x73793)),f80(a850)))
% 184.29/184.09 [7433]~P29(x74331,x74332,x74333,f239(f857(x74331,a844)))+P29(f851(x74331),f851(x74332),f775(f143(x74331,x74332),x74333),f239(f857(f851(x74331),a844)))
% 184.29/184.09 [7590]E(x75901,f775(f775(f82(a850),f775(f775(f83(a850),f775(f240(a850,a850),x75902)),x75903)),f775(f250(a850,a850),x75902)))+~P1(f775(f55(x75901,x75903),x75902))
% 184.29/184.09 [7598]P29(x75981,x75982,x75983,f239(f857(x75981,a844)))+~P29(f851(x75981),f851(x75982),f775(f143(x75981,x75982),x75983),f239(f857(f851(x75981),a844)))
% 184.29/184.09 [7641]P1(f775(f775(f334(f857(x76411,a844)),f685(x76412,x76413,x76411)),x76413))+P1(f775(f775(f334(x76411),x76412),f45(f857(x76411,a844),x76413)))
% 184.29/184.09 [7730]P1(f775(f775(f334(f851(x77301)),x77302),f149(x77301,x77303)))+~P1(f775(f775(f334(x77301),f745(x77303,x77302,x77301)),x77303))
% 184.29/184.09 [7861]E(x78611,x78612)+~E(f775(f775(f9(x78613,f857(x78613,a844),a844),f334(x78613)),x78611),f775(f775(f9(x78613,f857(x78613,a844),a844),f334(x78613)),x78612))
% 184.29/184.09 [7867]~P1(f775(f775(f334(f856(x78671,x78671)),x78673),f260(x78671,x78672)))+P1(f775(f775(f334(x78671),f472(x78672,x78673,x78671)),x78672))
% 184.29/184.09 [7869]~P1(f775(f775(f334(x78691),x78693),f44(f857(x78691,a844),x78692)))+P1(f775(f775(f334(f857(x78691,a844)),f696(x78692,x78693,x78691)),x78692))
% 184.29/184.09 [8129]E(f775(f229(f854(f851(a842)),f851(a842),f307(x81291,x81292,f775(f775(f82(a1),x81293),f80(a1))),f227(f851(a842))),f775(x81291,x81293)),f307(x81291,x81292,x81293))+P1(f775(f775(f233(a1),x81292),x81293))
% 184.29/184.09 [8228]E(x82281,f115(x82282))+P1(f775(f775(f334(x82282),f775(f240(x82282,f856(a101,a101)),f775(f270(x82282,x82281),x82283))),f775(f158(x82282),x82281)))
% 184.29/184.09 [8326]~P5(x83261)+E(f775(f132(x83261,x83261,f775(f9(x83261,x83261,x83261),f82(x83261)),x83262),f775(f142(x83261),x83263)),f775(f132(x83261,x83261,f82(x83261),x83262),x83263))
% 184.29/184.09 [8787]~P100(x87871)+E(f775(f158(x87871),f139(x87871,x87871,f7(x87871),x87872,x87873)),f775(f775(f302(x87871),x87872),f775(f158(x87871),x87873)))
% 184.29/184.09 [8796]P1(f775(f775(f233(a850),f2(a850)),f638(x87961,x87962,x87963)))+~P1(f775(f775(f334(f856(x87963,x87963)),x87962),f775(f775(f281(x87963,x87963,x87963),x87961),f300(x87963,x87961))))
% 184.29/184.09 [9059]~P56(x90591,x90592)+~P1(f775(f775(f334(f856(x90591,x90591)),f775(f775(f241(x90591,x90591),x90593),x90593)),f775(f775(f281(x90591,x90591,x90591),x90592),f300(x90591,x90592))))
% 184.29/184.09 [9170]~E(f775(f775(f104(f857(f856(x91701,x91701),a844)),f775(f278(x91701,x91701),x91702)),f300(x91701,x91702)),f180(f857(f856(x91701,x91701),a844)))+~P1(f775(f775(f334(f856(x91701,x91701)),f775(f775(f241(x91701,x91701),x91703),x91703)),f775(f775(f281(x91701,x91701,x91701),x91702),f300(x91701,x91702))))
% 184.29/184.09 [9344]~P1(f775(f63(x93441),x93442))+P1(f775(f775(f232(a850),f775(f42(x93441),f775(f775(f3(f857(x93441,a844)),x93442),f775(f775(f302(x93441),x93443),f180(f857(x93441,a844)))))),f775(f42(x93441),x93442)))
% 184.29/184.09 [4941]~E(x49413,f115(x49411))+E(f134(x49411,f775(f775(f140(x49411),x49412),x49413)),x49412)
% 184.29/184.09 [4954]~E(x49543,f115(x49541))+E(f116(x49541,f775(f775(f140(x49541),x49542),x49543)),f115(x49541))
% 184.29/184.09 [4983]E(x49831,f115(x49832))+E(f134(x49832,f775(f775(f140(x49832),x49833),x49831)),f134(x49832,x49831))
% 184.29/184.09 [4985]E(x49851,f115(x49852))+E(f134(x49852,f775(f775(f125(x49852),x49853),x49851)),f134(x49852,x49851))
% 184.29/184.09 [4992]~E(x49923,f115(x49921))+E(f134(x49921,f775(f775(f125(x49921),x49922),x49923)),f134(x49921,x49922))
% 184.29/184.09 [4993]~E(x49933,f115(x49931))+E(f116(x49931,f775(f775(f125(x49931),x49932),x49933)),f116(x49931,x49932))
% 184.29/184.09 [5023]E(x50231,f115(x50232))+E(f775(f131(x50232),f775(f775(f125(x50232),x50231),x50233)),f775(f131(x50232),x50231))
% 184.29/184.09 [5054]~E(x50542,f115(x50541))+E(f775(f131(x50541),f775(f775(f125(x50541),x50542),x50543)),f775(f131(x50541),x50543))
% 184.29/184.09 [5105]~P100(x51051)+E(f775(f775(f236(x51051),x51052),f775(f775(f179(x51051),x51052),x51053)),x51052)
% 184.29/184.09 [5106]~P100(x51061)+E(f775(f775(f179(x51061),x51062),f775(f775(f236(x51061),x51062),x51063)),x51062)
% 184.29/184.09 [5107]~P93(x51071)+E(f775(f775(f103(x51071),x51072),f775(f775(f104(x51071),x51072),x51073)),x51072)
% 184.29/184.09 [5108]~P93(x51081)+E(f775(f775(f104(x51081),x51082),f775(f775(f103(x51081),x51082),x51083)),x51082)
% 184.29/184.09 [5127]~P7(x51271)+E(f52(x51271,f775(f775(f83(x51271),x51272),x51273),x51273),f2(x51271))
% 184.29/184.09 [5128]~P7(x51281)+E(f52(x51281,f775(f775(f83(x51281),x51282),x51283),x51282),f2(x51281))
% 184.29/184.09 [5194]~P6(x51941)+E(f775(f81(x51941),f775(f775(f3(x51941),x51942),x51943)),f775(f775(f3(x51941),x51943),x51942))
% 184.29/184.09 [5255]E(x52551,f115(x52552))+E(f116(x52552,f775(f775(f140(x52552),x52553),x52551)),f775(f775(f140(x52552),x52553),f116(x52552,x52551)))
% 184.29/184.09 [5256]E(x52561,f115(x52562))+E(f116(x52562,f775(f775(f125(x52562),x52563),x52561)),f775(f775(f125(x52562),x52563),f116(x52562,x52561)))
% 184.29/184.09 [5257]~P9(x52571)+E(f45(x52571,f775(f775(f302(x52571),x52572),x52573)),f775(f775(f104(x52571),x52572),f45(x52571,x52573)))
% 184.29/184.09 [5258]~P9(x52581)+E(f44(x52581,f775(f775(f302(x52581),x52582),x52583)),f775(f775(f103(x52581),x52582),f44(x52581,x52583)))
% 184.29/184.09 [5301]~P91(x53011)+E(f775(f775(f83(x53011),x53012),f775(f775(f83(x53011),x53012),x53013)),f775(f775(f83(x53011),x53012),x53013))
% 184.29/184.09 [5303]~P100(x53031)+E(f775(f775(f236(x53031),x53032),f775(f775(f236(x53031),x53032),x53033)),f775(f775(f236(x53031),x53032),x53033))
% 184.29/184.09 [5305]~P100(x53051)+E(f775(f775(f179(x53051),x53052),f775(f775(f179(x53051),x53052),x53053)),f775(f775(f179(x53051),x53052),x53053))
% 184.29/184.09 [5307]~P92(x53071)+E(f775(f775(f103(x53071),x53072),f775(f775(f103(x53071),x53072),x53073)),f775(f775(f103(x53071),x53072),x53073))
% 184.29/184.09 [5308]~P93(x53081)+E(f775(f775(f103(x53081),x53082),f775(f775(f103(x53081),x53082),x53083)),f775(f775(f103(x53081),x53082),x53083))
% 184.29/184.09 [5309]~P93(x53091)+E(f775(f775(f104(x53091),x53092),f775(f775(f104(x53091),x53092),x53093)),f775(f775(f104(x53091),x53092),x53093))
% 184.29/184.09 [5311]~P98(x53111)+E(f775(f775(f104(x53111),x53112),f775(f775(f104(x53111),x53112),x53113)),f775(f775(f104(x53111),x53112),x53113))
% 184.29/184.09 [5318]~P7(x53181)+E(f52(x53181,f775(f775(f82(x53181),x53182),x53183),x53183),f52(x53181,x53182,x53183))
% 184.29/184.09 [5319]~P7(x53191)+E(f52(x53191,f775(f775(f82(x53191),x53192),x53193),x53192),f52(x53191,x53193,x53192))
% 184.29/184.09 [5326]~P121(x53261)+E(f775(f775(f83(x53261),x53262),f775(f81(x53261),x53263)),f775(f81(x53261),f775(f775(f83(x53261),x53262),x53263)))
% 184.29/184.09 [5327]~P60(x53271)+E(f775(f775(f283(x53271),x53272),f775(f81(x53271),x53273)),f775(f81(x53271),f775(f775(f283(x53271),x53272),x53273)))
% 184.29/184.09 [5328]~P67(x53281)+E(f775(f775(f82(x53281),x53282),f775(f155(x53281),x53283)),f775(f155(x53281),f775(f775(f140(x53281),x53282),x53283)))
% 184.29/184.09 [5359]~P121(x53591)+E(f775(f775(f83(x53591),f775(f81(x53591),x53592)),x53593),f775(f775(f83(x53591),x53592),f775(f81(x53591),x53593)))
% 184.29/184.09 [5365]~P12(x53651,x53652,x53653)+E(f44(f857(x53651,a844),f775(f775(f61(x53651),x53652),x53653)),x53652)
% 184.29/184.09 [5426]~P105(x54261)+E(f775(f775(f83(x54261),x54262),f775(f775(f242(x54261),x54262),x54263)),f775(f775(f242(x54261),x54262),f775(a114,x54263)))
% 184.29/184.09 [5427]~P85(x54271)+E(f775(f775(f83(x54271),x54272),f775(f775(f242(x54271),x54272),x54273)),f775(f775(f242(x54271),x54272),f775(a114,x54273)))
% 184.29/184.09 [5437]~P69(x54371)+E(f775(f775(f82(x54371),f775(f81(x54371),x54372)),f775(f775(f82(x54371),x54372),x54373)),x54373)
% 184.29/184.09 [5456]~P2(x54561)+E(f775(f775(f242(x54561),f775(f102(x54561),x54562)),x54563),f775(f102(x54561),f775(f775(f242(a850),x54562),x54563)))
% 184.29/184.09 [5457]~P133(x54571)+E(f775(f775(f242(x54571),f775(f105(x54571),x54572)),x54573),f775(f105(x54571),f775(f775(f242(a1),x54572),x54573)))
% 184.29/184.09 [5462]~P79(x54621)+E(f775(f77(x54621),f775(f775(f3(x54621),x54622),x54623)),f775(f77(x54621),f775(f775(f3(x54621),x54623),x54622)))
% 184.29/184.09 [5465]~P110(x54651)+E(f775(f775(f83(x54651),f84(x54651,x54652)),f84(x54651,x54653)),f84(x54651,f775(f775(f83(x54651),x54652),x54653)))
% 184.29/184.09 [5469]E(x54691,f115(x54692))+E(f775(f775(f125(x54692),f775(f157(x54692),x54691)),x54693),f775(f157(x54692),f775(f775(f125(x54692),x54691),x54693)))
% 184.29/184.09 [5475]~E(x54752,f775(a114,f775(f775(f82(a850),x54751),x54753)))+P1(f775(f775(f233(a850),x54751),x54752))
% 184.29/184.09 [5476]~P121(x54761)+E(f775(f775(f83(x54761),f775(f81(x54761),x54762)),x54763),f775(f81(x54761),f775(f775(f83(x54761),x54762),x54763)))
% 184.29/184.09 [5477]~P113(x54771)+E(f775(f775(f283(x54771),f775(f81(x54771),x54772)),x54773),f775(f81(x54771),f775(f775(f283(x54771),x54772),x54773)))
% 184.29/184.09 [5478]~P110(x54781)+E(f775(f775(f242(x54781),f775(f77(x54781),x54782)),x54783),f775(f77(x54781),f775(f775(f242(x54781),x54782),x54783)))
% 184.29/184.09 [5571]E(f493(x55711,x55712,x55713),f497(x55711,x55712,x55713))+E(f775(f775(f104(f857(x55713,a844)),x55712),x55711),f180(f857(x55713,a844)))
% 184.29/184.09 [5585]~P66(x55852)+E(f775(f775(f8(x55851,x55852),f775(f18(x55852,x55851),f2(x55852))),x55853),f2(x55852))
% 184.29/184.09 [5586]~P70(x55862)+E(f775(f775(f11(x55861,x55862),f775(f18(x55862,x55861),f80(x55862))),x55863),f80(x55862))
% 184.29/184.09 [5588]~P2(x55881)+E(f775(f775(f82(x55881),f775(f102(x55881),x55882)),f775(f102(x55881),x55883)),f775(f102(x55881),f775(f775(f82(a850),x55882),x55883)))
% 184.29/184.09 [5589]~P2(x55891)+E(f775(f775(f83(x55891),f775(f102(x55891),x55892)),f775(f102(x55891),x55893)),f775(f102(x55891),f775(f775(f83(a850),x55892),x55893)))
% 184.29/184.09 [5590]~P133(x55901)+E(f775(f775(f82(x55901),f775(f105(x55901),x55902)),f775(f105(x55901),x55903)),f775(f105(x55901),f775(f775(f82(a1),x55902),x55903)))
% 184.29/184.09 [5591]~P133(x55911)+E(f775(f775(f83(x55911),f775(f105(x55911),x55912)),f775(f105(x55911),x55913)),f775(f105(x55911),f775(f775(f83(a1),x55912),x55913)))
% 184.29/184.09 [5592]~P133(x55921)+E(f775(f775(f3(x55921),f775(f105(x55921),x55922)),f775(f105(x55921),x55923)),f775(f105(x55921),f775(f775(f3(a1),x55922),x55923)))
% 184.29/184.09 [5595]~P88(x55951)+E(f775(f775(f3(x55951),f775(f106(x55951),x55952)),f775(f106(x55951),x55953)),f775(f106(x55951),f775(f775(f3(a1),x55952),x55953)))
% 184.29/184.09 [5596]~P88(x55961)+E(f775(f775(f82(x55961),f775(f106(x55961),x55962)),f775(f106(x55961),x55963)),f775(f106(x55961),f775(f775(f82(a1),x55962),x55963)))
% 184.29/184.09 [5597]~P88(x55971)+E(f775(f775(f83(x55971),f775(f106(x55971),x55972)),f775(f106(x55971),x55973)),f775(f106(x55971),f775(f775(f83(a1),x55972),x55973)))
% 184.29/184.09 [5644]~E(x56443,x56442)+P1(f775(f775(f232(f857(x56441,a844)),x56442),x56443))
% 184.29/184.09 [5650]~E(x56502,x56503)+P1(f775(f775(f232(f857(x56501,a844)),x56502),x56503))
% 184.29/184.09 [5655]~P69(x56551)+E(f775(f775(f82(x56551),f775(f81(x56551),x56552)),f775(f81(x56551),x56553)),f775(f81(x56551),f775(f775(f82(x56551),x56553),x56552)))
% 184.29/184.09 [5656]~P6(x56561)+E(f775(f775(f82(x56561),f775(f81(x56561),x56562)),f775(f81(x56561),x56563)),f775(f81(x56561),f775(f775(f82(x56561),x56562),x56563)))
% 184.29/184.09 [5657]~P68(x56571)+E(f775(f775(f179(x56571),f775(f81(x56571),x56572)),f775(f81(x56571),x56573)),f775(f81(x56571),f775(f775(f236(x56571),x56572),x56573)))
% 184.29/184.09 [5658]~P68(x56581)+E(f775(f775(f236(x56581),f775(f81(x56581),x56582)),f775(f81(x56581),x56583)),f775(f81(x56581),f775(f775(f179(x56581),x56582),x56583)))
% 184.29/184.09 [5659]~P90(x56591)+E(f775(f775(f104(x56591),f775(f81(x56591),x56592)),f775(f81(x56591),x56593)),f775(f81(x56591),f775(f775(f103(x56591),x56592),x56593)))
% 184.29/184.09 [5660]~P90(x56601)+E(f775(f775(f103(x56601),f775(f81(x56601),x56602)),f775(f81(x56601),x56603)),f775(f81(x56601),f775(f775(f104(x56601),x56602),x56603)))
% 184.29/184.09 [5661]~P110(x56611)+E(f775(f775(f83(x56611),f775(f77(x56611),x56612)),f775(f77(x56611),x56613)),f775(f77(x56611),f775(f775(f83(x56611),x56612),x56613)))
% 184.29/184.09 [5662]~P62(x56621)+E(f775(f775(f283(x56621),f775(f77(x56621),x56622)),f775(f77(x56621),x56623)),f775(f77(x56621),f775(f775(f283(x56621),x56622),x56623)))
% 184.29/184.09 [5663]~P67(x56631)+E(f775(f775(f82(x56631),f775(f155(x56631),x56632)),f775(f155(x56631),x56633)),f775(f155(x56631),f775(f775(f125(x56631),x56632),x56633)))
% 184.29/184.09 [5664]E(x56641,f180(f857(x56642,a844)))+~E(f775(f775(f103(f857(x56642,a844)),x56643),x56641),f180(f857(x56642,a844)))
% 184.29/184.09 [5665]E(x56651,f180(f857(x56652,a844)))+~E(f775(f775(f103(f857(x56652,a844)),x56651),x56653),f180(f857(x56652,a844)))
% 184.29/184.09 [5666]~P141(x56661,x56663,x56662)+P1(f775(x56661,f775(f775(f43(a1),x56662),x56663)))
% 184.29/184.09 [5728]~P1(f775(f63(x57281),x57283))+P1(f775(f63(x57281),f775(f775(f302(x57281),x57282),x57283)))
% 184.29/184.09 [5729]~P1(f775(f127(x57291),x57293))+P1(f775(f127(x57291),f775(f775(f159(x57291),x57292),x57293)))
% 184.29/184.09 [5730]~P1(f775(f127(x57301),x57303))+P1(f775(f127(x57301),f775(f775(f128(x57301),x57302),x57303)))
% 184.29/184.09 [5761]~P100(x57611)+P1(f775(f775(f232(x57611),x57612),f775(f775(f179(x57611),x57613),x57612)))
% 184.29/184.09 [5762]~P100(x57621)+P1(f775(f775(f232(x57621),x57622),f775(f775(f179(x57621),x57622),x57623)))
% 184.29/184.09 [5763]~P92(x57631)+P1(f775(f775(f232(x57631),x57632),f775(f775(f103(x57631),x57633),x57632)))
% 184.29/184.09 [5764]~P93(x57641)+P1(f775(f775(f232(x57641),x57642),f775(f775(f103(x57641),x57643),x57642)))
% 184.29/184.09 [5765]~P92(x57651)+P1(f775(f775(f232(x57651),x57652),f775(f775(f103(x57651),x57652),x57653)))
% 184.29/184.09 [5766]~P93(x57661)+P1(f775(f775(f232(x57661),x57662),f775(f775(f103(x57661),x57662),x57663)))
% 184.29/184.09 [5767]~P85(x57671)+P1(f775(f775(f279(x57671),x57672),f775(f775(f83(x57671),x57673),x57672)))
% 184.29/184.09 [5768]~P85(x57681)+P1(f775(f775(f279(x57681),x57682),f775(f775(f83(x57681),x57682),x57683)))
% 184.29/184.09 [5781]~E(x57811,f2(a850))+E(f775(f775(f43(a850),f775(f775(f83(a850),x57811),x57812)),f775(f775(f83(a850),x57811),x57813)),f2(a850))
% 184.29/184.09 [5845]P1(f775(x58451,x58452))+P1(f775(f775(f187(f35(x58451,x58453)),x58452),x58452))
% 184.29/184.09 [5857]~P88(x58571)+E(f775(f775(f3(x58571),f775(f106(x58571),x58572)),f775(f106(x58571),x58573)),f775(f106(x58571),f775(f775(f82(a1),x58572),f775(f81(a1),x58573))))
% 184.29/184.09 [5913]E(x59131,f2(a850))+E(f775(f775(f43(a850),f775(f775(f83(a850),x59131),x59132)),f775(f775(f83(a850),x59131),x59133)),f775(f775(f43(a850),x59132),x59133))
% 184.29/184.09 [5982]P141(x59821,x59822,x59823)+~P1(f775(x59821,f775(f775(f43(a1),x59823),x59822)))
% 184.29/184.09 [6059]E(x60591,f115(x60592))+E(f775(f775(f140(x60592),f775(f131(x60592),x60591)),f775(f775(f159(x60592),x60593),f775(f157(x60592),x60591))),f775(f775(f159(x60592),f775(a114,x60593)),x60591))
% 184.29/184.09 [6067]E(f775(f775(f3(f857(x60671,a844)),x60672),x60673),x60672)+~E(f775(f775(f104(f857(x60671,a844)),x60672),x60673),f180(f857(x60671,a844)))
% 184.29/184.09 [6111]~P1(f775(f775(f233(a850),x61111),x61113))+P1(f775(f775(f233(a850),x61111),f775(f775(f82(a850),x61112),x61113)))
% 184.29/184.09 [6113]~P1(f775(f775(f233(a850),x61131),x61132))+P1(f775(f775(f233(a850),x61131),f775(f775(f82(a850),x61132),x61133)))
% 184.29/184.09 [6115]~P1(f775(f775(f232(a850),x61151),x61153))+P1(f775(f775(f232(a850),x61151),f775(f775(f82(a850),x61152),x61153)))
% 184.29/184.09 [6117]~P1(f775(f775(f232(a850),x61171),x61172))+P1(f775(f775(f232(a850),x61171),f775(f775(f82(a850),x61172),x61173)))
% 184.29/184.09 [6156]P1(f775(f63(x61561),x61562))+~P1(f775(f63(x61561),f775(f775(f302(x61561),x61563),x61562)))
% 184.29/184.09 [6157]P1(f775(f127(x61571),x61572))+~P1(f775(f127(x61571),f775(f775(f140(x61571),x61573),x61572)))
% 184.29/184.09 [6158]P1(f775(f127(x61581),x61582))+~P1(f775(f127(x61581),f775(f775(f125(x61581),x61583),x61582)))
% 184.29/184.09 [6159]P1(f775(f127(x61591),x61592))+~P1(f775(f127(x61591),f775(f775(f125(x61591),x61592),x61593)))
% 184.29/184.09 [6204]~E(f52(a1,x62042,x62041),f52(a1,x62043,x62041))+P1(f775(f775(f279(a1),x62041),f775(f775(f3(a1),x62042),x62043)))
% 184.29/184.09 [6209]~P85(x62091)+E(f775(f775(f82(x62091),x62092),f775(f775(f83(x62091),x62093),x62092)),f775(f775(f83(x62091),f775(f775(f82(x62091),x62093),f80(x62091))),x62092))
% 184.29/184.09 [6258]~E(x62581,x62582)+~P1(f775(f775(f233(f857(x62583,a844)),x62581),x62582))
% 184.29/184.09 [6306]P1(f775(f775(f334(x63061),x63062),x63063))+P1(f775(f775(f334(x63061),x63062),f775(f81(f857(x63061,a844)),x63063)))
% 184.29/184.09 [6313]E(f134(x63131,f775(f775(f128(x63131),x63132),x63133)),f134(x63131,x63133))+~P1(f775(f775(f233(a850),x63132),f775(f181(f851(x63131)),x63133)))
% 184.29/184.09 [6314]E(f775(f775(f159(x63141),x63142),f116(x63141,x63143)),f775(f775(f159(x63141),x63142),x63143))+~P1(f775(f775(f233(a850),x63142),f775(f181(f851(x63141)),x63143)))
% 184.29/184.09 [6373]E(f775(f775(f775(f173(f851(x63731),f851(x63731)),x63732),f141(x63731)),x63733),x63733)+~E(f52(a850,x63732,f775(f181(f851(x63731)),x63733)),f2(a850))
% 184.29/184.09 [6382]~P12(x63821,x63823,x63822)+E(f775(f775(f281(x63821,x63821,x63821),f775(f278(x63821,x63821),x63822)),x63822),x63822)
% 184.29/184.09 [6425]~E(f775(f775(f103(f857(x64251,a844)),x64252),x64253),x64253)+P1(f775(f775(f232(f857(x64251,a844)),x64252),x64253))
% 184.29/184.09 [6430]~P53(x64301,x64301,x64303)+P53(x64301,x64301,f775(f775(f173(f856(x64301,x64301),a844),x64302),x64303))
% 184.29/184.09 [6432]~P1(f775(f775(f334(x64321),x64323),f775(f158(x64321),x64322)))+P1(f775(f775(f233(a850),f2(a850)),f775(f181(f851(x64321)),x64322)))
% 184.29/184.09 [6462]~P79(x64621)+E(f775(f77(x64621),f775(f775(f82(x64621),f775(f77(x64621),x64622)),f775(f77(x64621),x64623))),f775(f775(f82(x64621),f775(f77(x64621),x64622)),f775(f77(x64621),x64623)))
% 184.29/184.09 [6474]E(f775(f775(f43(a850),f775(f775(f83(a850),x64741),x64742)),f775(f775(f83(a850),x64741),x64743)),f775(f775(f43(a850),x64742),x64743))+~P1(f775(f775(f233(a850),f2(a850)),x64741))
% 184.29/184.09 [6501]E(f52(a1,x65011,x65012),f52(a1,x65013,x65012))+~P1(f775(f775(f279(a1),x65012),f775(f775(f3(a1),x65011),x65013)))
% 184.29/184.09 [6616]~P1(f775(f63(x66161),x66163))+E(f775(f775(f66(x66161,f857(x66161,a844),f302(x66161)),x66162),x66163),f775(f775(f103(f857(x66161,a844)),x66163),x66162))
% 184.29/184.09 [6679]E(f775(f775(f103(f857(x66791,a844)),x66792),x66793),x66792)+~P1(f775(f775(f232(f857(x66791,a844)),x66793),x66792))
% 184.29/184.09 [6681]E(f775(f775(f103(f857(x66811,a844)),x66812),x66813),x66813)+~P1(f775(f775(f232(f857(x66811,a844)),x66812),x66813))
% 184.29/184.09 [6682]E(f775(f775(f104(f857(x66821,a844)),x66822),x66823),x66823)+~P1(f775(f775(f232(f857(x66821,a844)),x66823),x66822))
% 184.29/184.09 [6683]E(f775(f775(f104(f857(x66831,a844)),x66832),x66833),x66832)+~P1(f775(f775(f232(f857(x66831,a844)),x66832),x66833))
% 184.29/184.09 [6737]~P1(f775(f127(x67371),x67372))+E(f775(f775(f3(f857(x67371,a844)),f775(f158(x67371),x67372)),f775(f775(f302(x67371),x67373),f180(f857(x67371,a844)))),f775(f158(x67371),f151(x67371,x67373,x67372)))
% 184.29/184.09 [6796]P36(x67961,x67962)+~P36(x67961,f775(f775(f173(f856(x67961,x67961),a844),x67963),x67962))
% 184.29/184.09 [6812]~E(x68121,f2(a850))+P1(f775(f775(f279(a850),f775(f775(f83(a850),x68121),x68122)),f775(f775(f83(a850),x68121),x68123)))
% 184.29/184.09 [6866]P1(f775(f56(x68661,x68662),f775(a58,x68663)))+~P1(f775(f56(f775(f81(a1),x68661),f775(f81(a1),x68662)),x68663))
% 184.29/184.09 [6871]E(f775(f775(f3(f857(x68711,a844)),f775(f775(f302(x68711),x68712),x68713)),f775(f775(f302(x68711),x68712),f180(f857(x68711,a844)))),x68713)+P1(f775(f775(f334(x68711),x68712),x68713))
% 184.29/184.09 [6890]E(f775(f775(f104(f857(x68901,a844)),f775(f158(x68901),x68902)),f775(f158(x68901),x68903)),f180(f857(x68901,a844)))+~P1(f775(f127(x68901),f775(f775(f125(x68901),x68902),x68903)))
% 184.29/184.09 [6907]~P1(f775(f775(f334(x69071),x69072),f775(f158(x69071),x69073)))+~P1(f775(f127(x69071),f775(f775(f140(x69071),x69072),x69073)))
% 184.29/184.09 [6985]E(f775(f775(f104(f857(x69851,a844)),x69852),x69853),f180(f857(x69851,a844)))+P1(f775(f775(f334(x69851),f493(x69853,x69852,x69851)),x69852))
% 184.29/184.09 [6986]E(f775(f775(f104(f857(x69861,a844)),x69862),x69863),f180(f857(x69861,a844)))+P1(f775(f775(f334(x69861),f497(x69863,x69862,x69861)),x69863))
% 184.29/184.09 [6990]E(f116(x69901,f775(f775(f159(x69901),x69902),x69903)),f775(f775(f159(x69901),f775(f775(f3(a850),x69902),f80(a850))),x69903))+~P1(f775(f775(f232(a850),x69902),f775(f181(f851(x69901)),x69903)))
% 184.29/184.09 [7073]P1(f775(f775(f233(a850),f2(a850)),x70731))+P1(f775(f775(f232(a850),f775(f775(f83(a850),x70732),x70731)),f775(f775(f83(a850),x70733),x70731)))
% 184.29/184.09 [7074]P1(f775(f775(f233(a850),f2(a850)),x70741))+P1(f775(f775(f232(a850),f775(f775(f83(a850),x70741),x70742)),f775(f775(f83(a850),x70741),x70743)))
% 184.29/184.09 [7077]~P1(f775(f775(f334(x70771),x70772),x70773))+~P1(f775(f775(f334(x70771),x70772),f775(f81(f857(x70771,a844)),x70773)))
% 184.29/184.09 [7083]~P1(f775(f775(f233(f857(x70831,a844)),x70832),x70833))+P1(f775(f775(f232(f857(x70831,a844)),x70832),x70833))
% 184.29/184.09 [7188]~P1(f775(f775(f233(a850),x71882),x71883))+P1(f775(f775(f233(a850),f775(f775(f82(a850),x71881),x71882)),f775(f775(f82(a850),x71881),x71883)))
% 184.29/184.09 [7189]~P1(f775(f775(f233(a850),x71891),x71893))+P1(f775(f775(f233(a850),f775(f775(f82(a850),x71891),x71892)),f775(f775(f82(a850),x71893),x71892)))
% 184.29/184.09 [7190]~P1(f775(f775(f233(a1),x71901),x71903))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x71901),x71902)),f775(f775(f82(a1),x71903),x71902)))
% 184.29/184.09 [7193]~P1(f775(f775(f232(a850),x71932),x71933))+P1(f775(f775(f232(a850),f775(f775(f82(a850),x71931),x71932)),f775(f775(f82(a850),x71931),x71933)))
% 184.29/184.09 [7194]~P1(f775(f775(f232(a850),x71941),x71943))+P1(f775(f775(f232(a850),f775(f775(f82(a850),x71941),x71942)),f775(f775(f82(a850),x71943),x71942)))
% 184.29/184.09 [7196]~P1(f775(f775(f232(a850),x71962),x71963))+P1(f775(f775(f232(a850),f775(f775(f83(a850),x71961),x71962)),f775(f775(f83(a850),x71961),x71963)))
% 184.29/184.09 [7198]~P1(f775(f775(f232(a850),x71981),x71983))+P1(f775(f775(f232(a850),f775(f775(f83(a850),x71981),x71982)),f775(f775(f83(a850),x71983),x71982)))
% 184.29/184.09 [7199]~P1(f775(f775(f232(a850),x71991),x71993))+P1(f775(f775(f232(a850),f775(f775(f43(a850),x71991),x71992)),f775(f775(f43(a850),x71993),x71992)))
% 184.29/184.09 [7200]~P1(f775(f775(f232(a850),x72003),x72002))+P1(f775(f775(f232(a850),f775(f775(f3(a850),x72001),x72002)),f775(f775(f3(a850),x72001),x72003)))
% 184.29/184.09 [7201]~P1(f775(f775(f232(a850),x72011),x72013))+P1(f775(f775(f232(a850),f775(f775(f3(a850),x72011),x72012)),f775(f775(f3(a850),x72013),x72012)))
% 184.29/184.09 [7202]~P1(f775(f775(f232(a1),x72022),x72023))+P1(f775(f775(f232(a1),f775(f775(f82(a1),x72021),x72022)),f775(f775(f82(a1),x72021),x72023)))
% 184.29/184.09 [7205]~P1(f775(f775(f279(a850),x72052),x72053))+P1(f775(f775(f279(a850),f775(f775(f83(a850),x72051),x72052)),f775(f775(f83(a850),x72051),x72053)))
% 184.29/184.09 [7293]E(x72931,x72932)+~P1(f775(f775(f334(x72933),x72931),f775(f775(f302(x72933),x72932),f180(f857(x72933,a844)))))
% 184.29/184.09 [7295]~E(f775(f775(f104(f857(x72951,a844)),x72952),x72953),f180(f857(x72951,a844)))+P1(f775(f775(f232(f857(x72951,a844)),x72952),f775(f81(f857(x72951,a844)),x72953)))
% 184.29/184.09 [7302]P1(f775(f775(f334(f857(x73021,a844)),x73022),f775(f301(x73021),x73023)))+~P1(f775(f775(f232(f857(x73021,a844)),x73022),x73023))
% 184.29/184.09 [7359]E(f775(f775(f140(x73591),f775(f775(f153(x73591),x73592),x73593)),f775(f775(f128(x73591),f775(a114,x73593)),x73592)),f775(f775(f128(x73591),x73593),x73592))+~P1(f775(f775(f233(a850),x73593),f775(f181(f851(x73591)),x73592)))
% 184.29/184.09 [7389]P1(f775(f775(f334(f856(x73891,x73891)),x73892),f300(x73891,x73893)))+~P1(f775(f775(f334(f856(x73891,x73891)),x73892),x73893))
% 184.29/184.09 [7399]~P1(f775(f775(f334(f857(x73991,a844)),x73992),f775(f301(x73991),x73993)))+P1(f775(f775(f232(f857(x73991,a844)),x73992),x73993))
% 184.29/184.09 [7441]P1(f775(f775(f232(f857(x74411,a844)),x74412),f44(f857(x74411,a844),x74413)))+~P1(f775(f775(f334(f857(x74411,a844)),x74412),x74413))
% 184.29/184.09 [7469]~P133(x74691)+E(f775(f775(f83(x74691),f775(f775(f242(x74691),f775(f81(x74691),f80(x74691))),x74692)),f775(f775(f242(x74691),x74693),x74692)),f775(f775(f242(x74691),f775(f81(x74691),x74693)),x74692))
% 184.29/184.09 [7491]E(f775(f775(f153(x74911),x74912),f775(f775(f3(a850),f775(f181(f851(x74911)),x74912)),f775(a114,x74913))),f775(f775(f153(x74911),f775(f142(x74911),x74912)),x74913))+~P1(f775(f775(f233(a850),x74913),f775(f181(f851(x74911)),x74912)))
% 184.29/184.09 [7508]~E(f775(f775(f104(f857(x75081,a844)),f650(x75083,x75082,x75081)),x75083),f180(f857(x75081,a844)))+E(f775(f775(f104(f857(x75081,a844)),f44(f857(x75081,a844),x75082)),x75083),f180(f857(x75081,a844)))
% 184.29/184.09 [7572]~P1(f775(f775(f334(x75723),x75722),f775(f158(x75723),x75721)))+P1(f775(f775(f233(a850),f729(x75721,x75722,x75723)),f775(f181(f851(x75723)),x75721)))
% 184.29/184.09 [7580]P1(f775(f775(f334(x75801),f775(f775(f153(x75801),x75802),x75803)),f775(f158(x75801),x75802)))+~P1(f775(f775(f233(a850),x75803),f775(f181(f851(x75801)),x75802)))
% 184.29/184.09 [7689]P1(f775(f775(f232(f857(f851(x76891),a844)),f149(x76891,x76892)),f149(x76891,x76893)))+~P1(f775(f775(f232(f857(x76891,a844)),x76892),x76893))
% 184.29/184.09 [7718]E(f775(f775(f104(f857(x77181,a844)),f44(f857(x77181,a844),x77182)),x77183),f180(f857(x77181,a844)))+P1(f775(f775(f334(f857(x77181,a844)),f650(x77183,x77182,x77181)),x77182))
% 184.29/184.09 [7720]~P1(f775(f775(f334(f857(x77201,a844)),x77203),x77202))+P1(f775(f775(f232(f857(x77201,a844)),f45(f857(x77201,a844),x77202)),x77203))
% 184.29/184.09 [7722]E(f775(f775(f104(f857(x77221,a844)),x77222),x77223),f180(f857(x77221,a844)))+~P1(f775(f775(f232(f857(x77221,a844)),x77222),f775(f81(f857(x77221,a844)),x77223)))
% 184.29/184.09 [7775]E(f775(f775(f3(a850),f775(f775(f82(a850),f775(f155(a850),x77751)),x77752)),f775(f775(f153(a850),x77751),x77753)),f775(f155(a850),f775(f775(f148(a850,x77751),x77753),x77752)))+~P1(f775(f775(f233(a850),x77753),f775(f181(f851(a850)),x77751)))
% 184.29/184.09 [7825]P1(f775(f775(f233(a850),x78251),x78252))+~P1(f775(f775(f233(a850),f775(f775(f82(a850),x78253),x78251)),f775(f775(f82(a850),x78253),x78252)))
% 184.29/184.09 [7826]P1(f775(f775(f233(a850),x78261),x78262))+~P1(f775(f775(f233(a850),f775(f775(f83(a850),x78263),x78261)),f775(f775(f83(a850),x78263),x78262)))
% 184.29/184.09 [7827]P1(f775(f775(f233(a850),x78271),x78272))+~P1(f775(f775(f233(a850),f775(f775(f83(a850),x78271),x78273)),f775(f775(f83(a850),x78272),x78273)))
% 184.29/184.09 [7830]P1(f775(f775(f232(a850),x78301),x78302))+~P1(f775(f775(f232(a850),f775(f775(f82(a850),x78303),x78301)),f775(f775(f82(a850),x78303),x78302)))
% 184.29/184.09 [7859]P1(f775(f775(f233(a850),f2(a850)),x78591))+~P1(f775(f775(f233(a850),f775(f775(f83(a850),x78592),x78591)),f775(f775(f83(a850),x78593),x78591)))
% 184.29/184.09 [7860]P1(f775(f775(f233(a850),f2(a850)),x78601))+~P1(f775(f775(f233(a850),f775(f775(f83(a850),x78601),x78602)),f775(f775(f83(a850),x78601),x78603)))
% 184.29/184.09 [7933]E(f244(x79331,x79332,x79333),x79332)+~P1(f775(f775(f232(f857(x79331,a844)),x79333),f775(f775(f302(x79331),x79332),f180(f857(x79331,a844)))))
% 184.29/184.09 [8012]E(f775(f775(f125(x80121),f775(f775(f159(x80121),x80122),x80123)),f775(f775(f140(x80121),f775(f775(f153(x80121),x80123),x80122)),f115(x80121))),f775(f775(f159(x80121),f775(a114,x80122)),x80123))+~P1(f775(f775(f233(a850),x80122),f775(f181(f851(x80121)),x80123)))
% 184.29/184.09 [8081]P1(f775(f775(f232(f857(f857(x80811,a844),a844)),f245(x80811,x80812)),f245(x80811,x80813)))+~P1(f775(f775(f232(f857(x80811,a844)),x80812),x80813))
% 184.29/184.09 [8120]~P1(f775(f127(x81201),x81203))+P1(f775(f127(x81201),f775(f775(f775(f173(f851(x81201),f851(x81201)),x81202),f141(x81201)),x81203)))
% 184.29/184.09 [8125]~P1(f775(f775(f233(a850),x81252),x81253))+P1(f775(f775(f233(a850),f775(f775(f83(a850),f775(a114,x81251)),x81252)),f775(f775(f83(a850),f775(a114,x81251)),x81253)))
% 184.29/184.09 [8148]P1(f775(f775(f232(f857(f857(x81481,a844),a844)),f775(f301(x81481),x81482)),f775(f301(x81481),x81483)))+~P1(f775(f775(f232(f857(x81481,a844)),x81482),x81483))
% 184.29/184.09 [8305]~P1(f775(f775(f232(f857(x83051,a844)),x83053),x83052))+P1(f775(f775(f232(f857(x83051,a844)),f775(f81(f857(x83051,a844)),x83052)),f775(f81(f857(x83051,a844)),x83053)))
% 184.29/184.09 [8344]E(f775(f303(a850,a850,f775(f775(f9(a850,a850,a850),f3(a850)),x83441)),f775(f294(a850,x83442),x83443)),f775(f294(a850,f775(f775(f3(a850),x83442),x83441)),f775(f775(f3(a850),x83443),x83441)))+~P1(f775(f775(f233(a850),x83441),x83443))
% 184.29/184.09 [8370]~P67(x83701)+E(f775(f775(f82(x83701),x83702),f775(f132(x83701,x83701,f82(x83701),f2(x83701)),x83703)),f775(f132(x83701,x83701,f82(x83701),x83702),x83703))
% 184.29/184.09 [8451]~P79(x84511)+P1(f775(f775(f232(x84511),f775(f77(x84511),f775(f775(f82(x84511),x84512),x84513))),f775(f775(f82(x84511),f775(f77(x84511),x84512)),f775(f77(x84511),x84513))))
% 184.29/184.09 [8452]~P79(x84521)+P1(f775(f775(f232(x84521),f775(f77(x84521),f775(f775(f3(x84521),x84522),x84523))),f775(f775(f82(x84521),f775(f77(x84521),x84522)),f775(f77(x84521),x84523))))
% 184.29/184.09 [8462]E(f775(f775(f82(a1),f775(f775(f83(a1),x84621),f52(a1,f775(f775(f43(a1),x84622),x84621),x84623))),f52(a1,x84622,x84621)),f52(a1,x84622,f775(f775(f83(a1),x84621),x84623)))+~P1(f775(f775(f233(a1),f2(a1)),x84623))
% 184.29/184.09 [8471]E(f775(f775(f125(x84711),f775(f775(f159(x84711),x84712),x84713)),f775(f775(f140(x84711),f775(f131(x84711),f775(f775(f128(x84711),x84712),x84713))),f115(x84711))),f775(f775(f159(x84711),f775(a114,x84712)),x84713))+~P1(f775(f775(f233(a850),x84712),f775(f181(f851(x84711)),x84713)))
% 184.29/184.09 [8490]E(f775(f265(x84901,f775(f775(f143(x84901,f856(a101,x84901)),f775(f241(a101,x84901),f80(a101))),x84902)),f775(a5,x84903)),f775(f775(f153(x84901),x84902),x84903))+~P1(f775(f775(f233(a850),x84903),f775(f181(f851(x84901)),x84902)))
% 184.29/184.09 [8547]P1(f775(f775(f334(f856(x85471,x85471)),x85472),f775(f775(f281(x85471,x85471,x85471),x85473),f300(x85471,x85473))))+~P1(f775(f775(f334(f856(x85471,x85471)),x85472),x85473))
% 184.29/184.09 [8564]P1(f775(f775(f232(a850),x85641),x85642))+~P1(f775(f775(f232(a850),f775(f775(f83(a850),f775(a114,x85643)),x85641)),f775(f775(f83(a850),f775(a114,x85643)),x85642)))
% 184.29/184.09 [8575]P1(f775(f775(f232(f857(x85751,a844)),x85752),x85753))+~P1(f775(f775(f232(f857(x85751,a844)),f775(f81(f857(x85751,a844)),x85753)),f775(f81(f857(x85751,a844)),x85752)))
% 184.29/184.09 [8593]P1(f775(f127(x85931),x85932))+~P1(f775(f127(x85931),f775(f775(f775(f173(f851(x85931),f851(x85931)),x85933),f141(x85931)),x85932)))
% 184.29/184.09 [8659]E(f775(f277(x86591,x86591,f300(x86591,x86592)),x86593),x86593)+~P1(f775(f775(f232(f857(x86591,a844)),f775(f277(x86591,x86591,x86592),x86593)),x86593))
% 184.29/184.09 [8661]E(f775(f303(f856(x86611,x86612),x86612,f250(x86611,x86612)),f775(f158(f856(x86611,x86612)),x86613)),f171(x86611,x86612,f166(x86611,x86612,x86613)))+~P1(f775(f127(x86611),f775(f775(f143(f856(x86611,x86612),x86611),f240(x86611,x86612)),x86613)))
% 184.29/184.09 [8700]~P100(x87001)+P18(x87001,f775(f126(x87001,f775(f775(f9(x87001,x87001,a844),a330),f775(x87002,x87003))),x87003))
% 184.29/184.09 [8705]~P1(f775(f775(f232(a850),x87051),x87052))+P1(f775(f775(f232(a850),x87051),f775(f132(a850,a850,f82(a850),x87052),x87053)))
% 184.29/184.09 [8776]~P1(f775(f775(f334(f856(x87761,x87761)),x87762),f300(x87761,x87763)))+P1(f775(f775(f334(f856(x87761,x87761)),x87762),f775(f775(f173(f856(x87761,x87761),a844),f633(x87763,x87762,x87761)),x87763)))
% 184.29/184.09 [8845]~P67(x88451)+E(f775(f775(f82(x88451),x88452),f775(f132(x88451,x88451,f775(f9(x88451,x88451,x88451),f82(x88451)),f2(x88451)),f775(f142(x88451),x88453))),f775(f132(x88451,x88451,f82(x88451),x88452),x88453))
% 184.29/184.09 [9104]P53(x91041,x91042,x91043)+P1(f775(f775(f334(f856(x91041,x91042)),f775(f775(f241(x91041,x91042),f646(x91043,x91042,x91041)),f640(x91043,x91042,x91041))),x91043))
% 184.29/184.09 [9105]P53(x91051,x91052,x91053)+P1(f775(f775(f334(f856(x91051,x91052)),f775(f775(f241(x91051,x91052),f646(x91053,x91052,x91051)),f639(x91053,x91052,x91051))),x91053))
% 184.29/184.09 [9160]~P1(f775(f775(f334(f856(x91601,x91601)),x91602),f775(f775(f281(x91601,x91601,x91601),x91603),f300(x91601,x91603))))+P1(f775(f775(f334(f856(x91601,x91601)),x91602),f775(f775(f173(f856(x91601,x91601),a844),f638(x91603,x91602,x91601)),x91603)))
% 184.29/184.09 [9161]~P1(f775(x91611,f775(f775(f153(x91612),x91613),f775(f181(f851(x91612)),f162(x91612,x91611,x91613)))))+~P1(f775(f775(f233(a850),f775(f181(f851(x91612)),f162(x91612,x91611,x91613))),f775(f181(f851(x91612)),x91613)))
% 184.29/184.09 [9237]~P1(f775(f775(f232(f857(x92371,a844)),x92372),x92373))+P1(f775(f775(f232(f857(x92371,a844)),f775(f775(f9(x92371,f857(x92371,a844),a844),f334(x92371)),x92372)),f775(f775(f9(x92371,f857(x92371,a844),a844),f334(x92371)),x92373)))
% 184.29/184.09 [9293]~P1(f775(f775(f334(f856(f857(x92931,a844),f857(x92931,a844))),f775(f775(f241(f857(x92931,a844),f857(x92931,a844)),x92932),x92933)),f299(x92931)))+P1(f775(f775(f233(f857(x92931,a844)),x92932),x92933))
% 184.29/184.09 [9319]P54(x93191,x93192,x93193)+~P1(f775(f775(f334(f856(x93191,x93191)),f775(f775(f241(x93191,x93191),f627(x93193,x93192,x93191)),f626(x93193,x93192,x93191))),x93193))
% 184.29/184.09 [9320]P54(x93201,x93202,x93203)+~P1(f775(f775(f334(f856(x93201,x93201)),f775(f775(f241(x93201,x93201),f626(x93203,x93202,x93201)),f627(x93203,x93202,x93201))),x93203))
% 184.29/184.09 [9354]~P1(f775(f775(f334(f856(f851(x93541),f851(x93541))),f775(f775(f241(f851(x93541),f851(x93541)),x93542),x93542)),f137(x93541,x93543)))+P1(f775(f775(f334(f856(x93541,x93541)),f775(f775(f241(x93541,x93541),f754(x93542,x93543,x93541)),f754(x93542,x93543,x93541))),x93543))
% 184.29/184.09 [9399]P1(f775(f775(f232(f857(x93991,a844)),x93992),x93993))+~P1(f775(f775(f232(f857(x93991,a844)),f775(f775(f9(x93991,f857(x93991,a844),a844),f334(x93991)),x93992)),f775(f775(f9(x93991,f857(x93991,a844),a844),f334(x93991)),x93993)))
% 184.29/184.09 [9485]E(f775(f775(f3(a850),f775(f775(f8(a850,a850),x94851),f775(f257(a850),x94852))),f775(f775(f8(a850,a850),x94853),f775(f257(a850),x94852))),f775(f775(f8(a850,a850),f775(f775(f20(a850,a850,a850),f775(f775(f10(a850,f857(a850,a850),a850),f3(a850)),x94851)),x94853)),f775(f257(a850),x94852)))+~P1(f775(f775(f232(a850),f775(x94853,f341(x94852,x94851,x94853))),f775(x94851,f341(x94852,x94851,x94853))))
% 184.29/184.09 [9767]E(f775(f256(f856(x97671,x97672)),f775(f251(x97671,x97672,a844),f775(f775(f9(x97671,f857(x97672,f854(x97672)),f857(x97672,a844)),f775(f775(f10(f857(f854(x97672),a844),f857(f857(x97672,f854(x97672)),f857(x97672,a844)),x97671),f10(f854(x97672),a844,x97672)),f775(f775(f10(f854(x97672),f857(f854(x97672),a844),x97671),a330),f166(x97671,x97672,x97673)))),f227(x97672)))),f775(f158(f856(x97671,x97672)),x97673))+~P1(f775(f127(x97671),f775(f775(f143(f856(x97671,x97672),x97671),f240(x97671,x97672)),x97673)))
% 184.29/184.09 [5509]~P69(x55091)+E(f775(f775(f82(x55091),f775(f775(f3(x55091),x55092),x55093)),x55093),x55092)
% 184.29/184.09 [5510]~P69(x55101)+E(f775(f775(f3(x55101),f775(f775(f82(x55101),x55102),x55103)),x55103),x55102)
% 184.29/184.09 [5736]~P69(x57361)+E(f775(f775(f82(x57361),x57362),f775(f775(f82(x57361),f775(f81(x57361),x57362)),x57363)),x57363)
% 184.29/184.09 [5819]~P75(x58191)+E(f775(f775(f83(x58191),f775(f775(f242(x58191),x58192),x58193)),x58192),f775(f775(f242(x58191),x58192),f775(a114,x58193)))
% 184.29/184.09 [5820]~P85(x58201)+E(f775(f775(f83(x58201),f775(f775(f242(x58201),x58202),x58203)),x58202),f775(f775(f242(x58201),x58202),f775(a114,x58203)))
% 184.29/184.09 [6035]~P110(x60351)+E(f775(f77(x60351),f775(f775(f242(x60351),f775(f81(x60351),x60352)),x60353)),f775(f77(x60351),f775(f775(f242(x60351),x60352),x60353)))
% 184.29/184.09 [6087]~P75(x60871)+E(f775(f775(f83(x60871),f775(f775(f242(x60871),x60872),x60873)),x60872),f775(f775(f83(x60871),x60872),f775(f775(f242(x60871),x60872),x60873)))
% 184.29/184.09 [6147]E(f775(f775(f3(a101),f775(f775(f82(a101),x61471),x61472)),x61473),f269(x61471,x61472,x61473))+~P1(f775(f775(f233(a101),x61472),x61473))
% 184.29/184.09 [6169]~E(f775(f775(f128(x61691),x61693),x61692),f115(x61691))+P1(f775(f775(f232(a850),f775(f181(f851(x61691)),x61692)),x61693))
% 184.29/184.09 [6311]E(f775(f775(f83(a850),f775(f106(a850),x63111)),f775(f775(f83(a850),f775(f106(a850),x63112)),x63113)),f2(a850))+~P1(f775(f775(f233(a1),x63111),a85))
% 184.29/184.09 [6327]~P60(x63271)+E(f775(f775(f242(x63271),f775(f775(f283(x63271),f80(x63271)),x63272)),x63273),f775(f775(f283(x63271),f80(x63271)),f775(f775(f242(x63271),x63272),x63273)))
% 184.29/184.09 [6412]E(f775(f775(f3(a850),f775(f775(f82(a850),x64121),x64122)),x64123),f775(f775(f3(a850),x64121),f775(f775(f3(a850),x64123),x64122)))+~P1(f775(f775(f232(a850),x64122),x64123))
% 184.29/184.09 [6413]E(f775(f775(f3(a850),f775(f775(f82(a850),x64131),x64132)),x64133),f775(f775(f82(a850),x64131),f775(f775(f3(a850),x64132),x64133)))+~P1(f775(f775(f232(a850),x64133),x64132))
% 184.29/184.09 [6453]~P100(x64531)+P1(f775(f775(f232(x64531),f775(f775(f236(x64531),x64532),x64533)),x64533))
% 184.29/184.09 [6454]~P100(x64541)+P1(f775(f775(f232(x64541),f775(f775(f236(x64541),x64542),x64543)),x64542))
% 184.29/184.09 [6455]~P93(x64551)+P1(f775(f775(f232(x64551),f775(f775(f104(x64551),x64552),x64553)),x64553))
% 184.29/184.09 [6456]~P98(x64561)+P1(f775(f775(f232(x64561),f775(f775(f104(x64561),x64562),x64563)),x64563))
% 184.29/184.09 [6457]~P93(x64571)+P1(f775(f775(f232(x64571),f775(f775(f104(x64571),x64572),x64573)),x64572))
% 184.29/184.09 [6458]~P98(x64581)+P1(f775(f775(f232(x64581),f775(f775(f104(x64581),x64582),x64583)),x64582))
% 184.29/184.09 [6473]E(f775(f775(f43(a1),f775(f775(f43(a1),x64731),x64732)),x64733),f775(f775(f43(a1),x64731),f775(f775(f83(a1),x64732),x64733)))+~P1(f775(f775(f233(a1),f2(a1)),x64733))
% 184.29/184.09 [6526]~P85(x65261)+E(f775(f775(f82(x65261),f775(f775(f83(x65261),x65262),x65263)),x65263),f775(f775(f83(x65261),f775(f775(f82(x65261),x65262),f80(x65261))),x65263))
% 184.29/184.09 [6527]~P88(x65271)+E(f775(f775(f83(x65271),f775(f81(x65271),f775(f106(x65271),x65272))),x65273),f775(f775(f83(x65271),f775(f106(x65271),f775(f81(a1),x65272))),x65273))
% 184.29/184.09 [6600]~P67(x66001)+E(f775(f155(x66001),f775(f775(f143(x66002,x66001),f775(f18(x66001,x66002),f2(x66001))),x66003)),f2(x66001))
% 184.29/184.09 [6620]E(f775(f775(f82(a850),f775(f106(a850),x66201)),f775(f775(f82(a850),f775(f106(a850),x66202)),x66203)),f775(f775(f82(a850),f775(f106(a850),x66202)),x66203))+~P1(f775(a186,f775(f106(a1),x66201)))
% 184.29/184.09 [6635]~P9(x66351)+E(f45(x66351,f775(f775(f302(x66351),x66352),f775(f775(f302(x66351),x66353),f180(f857(x66351,a844))))),f775(f775(f104(x66351),x66352),x66353))
% 184.29/184.09 [6636]~P9(x66361)+E(f44(x66361,f775(f775(f302(x66361),x66362),f775(f775(f302(x66361),x66363),f180(f857(x66361,a844))))),f775(f775(f103(x66361),x66362),x66363))
% 184.29/184.09 [6661]E(f775(f775(f159(x66611),x66612),x66613),x66613)+~P1(f775(f775(f232(a850),f775(f181(f851(x66611)),x66613)),x66612))
% 184.29/184.09 [6673]E(f775(f775(f128(x66731),x66732),x66733),f115(x66731))+~P1(f775(f775(f232(a850),f775(f181(f851(x66731)),x66733)),x66732))
% 184.29/184.09 [6685]E(f775(f775(f3(a850),f775(f775(f82(a850),x66851),x66852)),x66853),f775(f775(f82(a850),f775(f775(f3(a850),x66851),x66853)),x66852))+~P1(f775(f775(f232(a850),x66853),x66851))
% 184.29/184.09 [6699]~P1(f775(f775(f233(a850),x66991),x66993))+P1(f775(f775(f233(a850),f775(f775(f3(a850),x66991),x66992)),x66993))
% 184.29/184.09 [6728]~P100(x67281)+E(f151(x67281,x67282,f775(f775(f138(x67281,x67281,f7(x67281)),x67282),x67283)),x67283)
% 184.29/184.09 [6826]E(f775(f775(f3(a850),f775(f775(f82(a850),x68261),x68262)),f775(a114,x68263)),f775(f775(f3(a850),x68261),f775(a114,f775(f775(f3(a850),x68263),x68262))))+~P1(f775(f775(f232(a850),x68262),x68263))
% 184.29/184.09 [6827]~P110(x68271)+P1(f775(f775(f232(x68271),f2(x68271)),f775(f775(f242(x68271),f775(f77(x68271),x68272)),x68273)))
% 184.29/184.09 [6878]P28(x68781,x68782,x68783)+~P1(f775(f775(f232(f857(f849(x68781),a844)),x68783),x68782))
% 184.29/184.09 [6919]~P1(f775(f63(x69191),x69192))+P1(f775(f63(x69191),f775(f775(f3(f857(x69191,a844)),x69192),x69193)))
% 184.29/184.09 [6920]~P1(f775(f63(x69201),x69203))+P1(f775(f63(x69201),f775(f775(f104(f857(x69201,a844)),x69202),x69203)))
% 184.29/184.09 [6921]~P1(f775(f63(x69211),x69212))+P1(f775(f63(x69211),f775(f775(f104(f857(x69211,a844)),x69212),x69213)))
% 184.29/184.09 [7062]~P36(x70621,x70623)+P36(x70621,f775(f775(f104(f857(f856(x70621,x70621),a844)),x70622),x70623))
% 184.29/184.09 [7063]~P36(x70631,x70632)+P36(x70631,f775(f775(f104(f857(f856(x70631,x70631),a844)),x70632),x70633))
% 184.29/184.09 [7183]~P93(x71831)+E(f15(x71831,f775(f158(x71831),f775(f775(f140(x71831),x71832),x71833))),f775(f132(x71831,x71831,f103(x71831),x71832),x71833))
% 184.29/184.09 [7184]~P100(x71841)+E(f16(x71841,f775(f158(x71841),f775(f775(f140(x71841),x71842),x71843))),f775(f132(x71841,x71841,f179(x71841),x71842),x71843))
% 184.29/184.09 [7185]~P100(x71851)+E(f17(x71851,f775(f158(x71851),f775(f775(f140(x71851),x71852),x71853))),f775(f132(x71851,x71851,f236(x71851),x71852),x71853))
% 184.29/184.09 [7186]~P93(x71861)+E(f12(x71861,f775(f158(x71861),f775(f775(f140(x71861),x71862),x71863))),f775(f132(x71861,x71861,f104(x71861),x71862),x71863))
% 184.29/184.09 [7187]~P1(f775(f775(f279(a1),x71871),x71872))+P1(f775(f775(f279(a1),x71871),f775(f775(f82(a1),x71872),f775(f775(f83(a1),x71871),x71873))))
% 184.29/184.09 [7257]~P1(f775(f63(x72571),x72572))+P1(f775(f775(f232(a850),f775(f42(x72571),x72572)),f775(f42(x72571),f775(f775(f302(x72571),x72573),x72572))))
% 184.29/184.09 [7264]E(f775(f775(f103(f857(a850,a844)),f775(f294(a850,x72641),x72642)),f775(f294(a850,x72642),f775(f775(f82(a850),x72642),x72643))),f775(f294(a850,x72641),f775(f775(f82(a850),x72642),x72643)))+~P1(f775(f775(f232(a850),x72641),x72642))
% 184.29/184.09 [7274]P1(f775(f775(f233(a850),x72741),x72742))+~P1(f775(f775(f233(a850),f775(f775(f82(a850),x72741),x72743)),x72742))
% 184.29/184.09 [7277]P1(f775(f775(f232(a850),x72771),x72772))+~P1(f775(f775(f232(a850),f775(f775(f82(a850),x72773),x72771)),x72772))
% 184.29/184.09 [7278]P1(f775(f775(f232(a850),x72781),x72782))+~P1(f775(f775(f232(a850),f775(f775(f82(a850),x72781),x72783)),x72782))
% 184.29/184.09 [7320]~P100(x73201)+E(f13(x73201,f179(x73201),f775(f158(x73201),f775(f775(f140(x73201),x73202),x73203))),f775(f132(x73201,x73201,f179(x73201),x73202),x73203))
% 184.29/184.09 [7321]~P100(x73211)+E(f14(x73211,f236(x73211),f775(f158(x73211),f775(f775(f140(x73211),x73212),x73213))),f775(f132(x73211,x73211,f236(x73211),x73212),x73213))
% 184.29/184.09 [7325]~E(x73252,f180(f857(f856(x73251,x73251),a844)))+P1(f775(f775(f232(f857(f856(x73251,x73251),a844)),x73252),x73253))
% 184.29/184.09 [7434]E(f775(f775(f103(f857(x74341,a844)),x74342),f775(f775(f3(f857(x74341,a844)),x74343),x74342)),x74343)+~P1(f775(f775(f232(f857(x74341,a844)),x74342),x74343))
% 184.29/184.09 [7437]~P1(f775(f775(f233(a850),x74371),f775(f775(f3(a850),x74373),x74372)))+P1(f775(f775(f233(a850),f775(f775(f82(a850),x74371),x74372)),x74373))
% 184.29/184.09 [7438]~P1(f775(f775(f232(a850),x74381),f775(f775(f82(a850),x74383),x74382)))+P1(f775(f775(f232(a850),f775(f775(f3(a850),x74381),x74382)),x74383))
% 184.29/184.09 [7498]E(x74981,f115(x74982))+E(f775(f131(x74982),f775(f775(f775(f173(f851(x74982),f851(x74982)),x74983),f141(x74982)),x74981)),f775(f775(f153(x74982),x74981),f52(a850,x74983,f775(f181(f851(x74982)),x74981))))
% 184.29/184.09 [7507]E(f775(f775(f302(x75071),x75072),f775(f775(f3(f857(x75071,a844)),x75073),f775(f775(f302(x75071),x75072),f180(f857(x75071,a844))))),x75073)+~P1(f775(f775(f334(x75071),x75072),x75073))
% 184.29/184.09 [7671]P1(f775(f775(f233(a850),x76711),f775(f775(f3(a850),x76712),x76713)))+~P1(f775(f775(f233(a850),f775(f775(f82(a850),x76711),x76713)),x76712))
% 184.29/184.09 [7672]P1(f775(f775(f232(a850),x76721),f775(f775(f82(a850),x76722),x76723)))+~P1(f775(f775(f232(a850),f775(f775(f3(a850),x76721),x76723)),x76722))
% 184.29/184.09 [7692]P1(f775(f63(x76921),x76922))+~P1(f775(f63(x76921),f775(f775(f103(f857(x76921,a844)),x76923),x76922)))
% 184.29/184.09 [7693]P1(f775(f63(x76931),x76932))+~P1(f775(f63(x76931),f775(f775(f103(f857(x76931,a844)),x76932),x76933)))
% 184.29/184.09 [7774]~P44(x77741,x77743)+P1(f775(f775(f334(f856(x77741,x77741)),f775(f775(f241(x77741,x77741),x77742),x77742)),x77743))
% 184.29/184.09 [7824]P1(f775(f775(f279(a1),x78241),x78242))+~P1(f775(f775(f279(a1),x78241),f775(f775(f82(a1),x78242),f775(f775(f83(a1),x78241),x78243))))
% 184.29/184.09 [7904]E(f775(f775(f153(a850),f130(a850,f775(f294(a850,x79041),x79042))),x79043),f775(f775(f82(a850),x79041),x79043))+~P1(f775(f775(f233(a850),f775(f775(f82(a850),x79041),x79043)),x79042))
% 184.29/184.09 [7974]~P1(f775(f775(f187(f775(a27,x79741)),x79742),x79743))+P1(f775(f775(f187(f775(f231(a845),f775(a30,x79741))),x79742),x79743))
% 184.29/184.09 [7978]E(f775(f775(f159(a850),x79781),f130(a850,f775(f294(a850,x79782),x79783))),f130(a850,f775(f294(a850,x79782),f775(f775(f82(a850),x79782),x79781))))+~P1(f775(f775(f232(a850),f775(f775(f82(a850),x79782),x79781)),x79783))
% 184.29/184.09 [8027]~P88(x80271)+E(f775(f775(f242(x80271),x80272),f775(f106(a850),f775(f775(f82(a1),x80273),x80273))),f775(f775(f88(x80271,x80271),f775(f775(f242(x80271),x80272),f775(f106(a850),x80273))),f775(f775(f20(x80271,x80271,x80271),f83(x80271)),f7(x80271))))
% 184.29/184.09 [8227]P1(f775(f775(f187(f775(a27,x82271)),x82272),x82273))+~P1(f775(f775(f187(f775(f231(a845),f775(a30,x82271))),x82272),x82273))
% 184.29/184.09 [8284]E(f775(f775(f125(x82841),f775(f775(f159(x82841),x82842),x82843)),f775(f775(f140(x82841),f775(f775(f153(x82841),x82843),x82842)),f775(f775(f128(x82841),f775(a114,x82842)),x82843))),x82843)+~P1(f775(f775(f233(a850),x82842),f775(f181(f851(x82841)),x82843)))
% 184.29/184.09 [8291]P1(f775(f775(f232(f857(x82911,a844)),f321(x82911,x82912)),f321(x82911,x82913)))+~P1(f775(f775(f232(f857(x82911,f857(x82911,a844))),x82913),x82912))
% 184.29/184.09 [8292]~P54(x82921,x82922,x82923)+P54(x82921,x82922,f775(f775(f3(f857(f856(x82921,x82921),a844)),x82923),f300(x82921,f180(f857(f856(x82921,x82921),a844)))))
% 184.29/184.09 [8314]P1(f775(f775(f232(f857(x83141,a844)),f322(x83141,x83142)),f322(x83141,x83143)))+~P1(f775(f775(f232(f857(f856(x83141,x83141),a844)),x83143),x83142))
% 184.29/184.09 [8321]~P118(x83211)+P1(f775(f775(f232(x83211),f2(x83211)),f775(f775(f82(x83211),f775(f775(f83(x83211),x83212),x83212)),f775(f775(f83(x83211),x83213),x83213))))
% 184.29/184.09 [8358]P1(f775(f775(f232(f857(x83581,a844)),f775(f276(x83581),x83582)),f775(f276(x83581),x83583)))+~P1(f775(f775(f232(f857(f856(x83581,x83581),a844)),x83582),x83583))
% 184.29/184.09 [8390]~P48(x83901,x83902)+~P1(f775(f775(f334(f856(x83901,x83901)),f775(f775(f241(x83901,x83901),x83903),x83903)),x83902))
% 184.29/184.09 [8392]~P36(x83921,x83922)+~P1(f775(f775(f334(f856(x83921,x83921)),f775(f775(f241(x83921,x83921),x83923),x83923)),x83922))
% 184.29/184.09 [8453]P1(f775(f775(f232(f857(x84531,a844)),f45(f857(x84531,a844),x84532)),f45(f857(x84531,a844),x84533)))+~P1(f775(f775(f232(f857(f857(x84531,a844),a844)),x84533),x84532))
% 184.29/184.09 [8454]P1(f775(f775(f232(f857(x84541,a844)),f44(f857(x84541,a844),x84542)),f44(f857(x84541,a844),x84543)))+~P1(f775(f775(f232(f857(f857(x84541,a844),a844)),x84542),x84543))
% 184.29/184.09 [8509]~P12(x85091,x85093,x85092)+P1(f775(f775(f232(f857(f856(x85091,x85091),a844)),x85092),f775(f775(f248(x85091,x85091),x85093),f775(f18(f857(x85091,a844),x85091),x85093))))
% 184.29/184.09 [8510]~P47(x85101,x85103,x85102)+P1(f775(f775(f232(f857(f856(x85101,x85101),a844)),x85102),f775(f775(f248(x85101,x85101),x85103),f775(f18(f857(x85101,a844),x85101),x85103))))
% 184.29/184.09 [8548]~P79(x85481)+P1(f775(f775(f232(x85481),f775(f775(f3(x85481),f775(f77(x85481),x85482)),f775(f77(x85481),x85483))),f775(f77(x85481),f775(f775(f3(x85481),x85483),x85482))))
% 184.29/184.09 [8549]~P79(x85491)+P1(f775(f775(f232(x85491),f775(f775(f3(x85491),f775(f77(x85491),x85492)),f775(f77(x85491),x85493))),f775(f77(x85491),f775(f775(f3(x85491),x85492),x85493))))
% 184.29/184.09 [8573]P1(f775(f775(f232(f857(f856(x85731,x85731),a844)),f300(x85731,x85732)),f300(x85731,x85733)))+~P1(f775(f775(f232(f857(f856(x85731,x85731),a844)),x85732),x85733))
% 184.29/184.09 [8719]P54(x87191,x87192,x87193)+~P54(x87191,x87192,f775(f775(f3(f857(f856(x87191,x87191),a844)),x87193),f300(x87191,f180(f857(f856(x87191,x87191),a844)))))
% 184.29/184.09 [8738]P1(f775(f775(f232(f857(f856(f851(x87381),f851(x87381)),a844)),f147(x87381,x87382)),f147(x87381,x87383)))+~P1(f775(f775(f232(f857(f856(x87381,x87381),a844)),x87382),x87383))
% 184.29/184.09 [8739]P1(f775(f775(f232(f857(f856(f851(x87391),f851(x87391)),a844)),f146(x87391,x87392)),f146(x87391,x87393)))+~P1(f775(f775(f232(f857(f856(x87391,x87391),a844)),x87392),x87393))
% 184.29/184.09 [8756]~P47(x87561,x87563,x87562)+P1(f775(f775(f232(f857(f856(x87561,x87561),a844)),x87562),f775(f775(f281(x87561,x87561,x87561),f775(f278(x87561,x87561),x87562)),x87562)))
% 184.29/184.09 [8797]~P1(f775(f127(x87971),x87972))+E(f775(f126(x87971,f775(f775(f9(x87971,f857(x87971,a844),a844),f334(x87971)),f775(f158(x87971),f160(x87971,x87972,x87973)))),x87972),f160(x87971,x87972,x87973))
% 184.29/184.09 [8843]E(x88431,x88432)+~P1(f775(f775(f334(f856(x88433,x88433)),f775(f775(f241(x88433,x88433),x88431),x88432)),f300(x88433,f180(f857(f856(x88433,x88433),a844)))))
% 184.29/184.09 [8925]P1(f775(f775(f334(x89251),x89252),f322(x89251,x89253)))+P1(f775(f775(f334(f856(x89251,x89251)),f775(f775(f241(x89251,x89251),f526(x89253,x89252,x89251)),x89252)),x89253))
% 184.29/184.09 [8926]P1(f775(f775(f334(x89261),x89262),f322(x89261,x89263)))+P1(f775(f775(f334(f856(x89261,x89261)),f775(f775(f241(x89261,x89261),f619(x89263,x89262,x89261)),x89262)),x89263))
% 184.29/184.09 [8927]P1(f775(f775(f334(x89271),x89272),f322(x89271,x89273)))+P1(f775(f775(f334(f856(x89271,x89271)),f775(f775(f241(x89271,x89271),f621(x89273,x89272,x89271)),x89272)),x89273))
% 184.29/184.09 [9031]P1(f775(x90313,x90312))+E(f775(f256(x90311),f775(f775(f20(x90311,a844,a844),f775(f775(f10(a844,f857(a844,a844),x90311),a331),f775(a330,x90312))),x90313)),f180(f857(x90311,a844)))
% 184.29/184.09 [9050]~P79(x90501)+P1(f775(f775(f232(x90501),f775(f77(x90501),f775(f775(f3(x90501),f775(f77(x90501),x90502)),f775(f77(x90501),x90503)))),f775(f77(x90501),f775(f775(f3(x90501),x90502),x90503))))
% 184.29/184.09 [9063]~P1(f775(x90633,x90632))+E(f775(f256(x90631),f775(f775(f20(x90631,a844,a844),f775(f775(f10(a844,f857(a844,a844),x90631),a331),f775(a330,x90632))),x90633)),f775(f775(f302(x90631),x90632),f180(f857(x90631,a844))))
% 184.29/184.09 [9069]~P1(f775(f775(f334(f857(x90691,a844)),x90693),f775(f301(x90691),x90692)))+P1(f775(f245(x90691,f775(f775(f9(x90691,f857(x90691,a844),a844),f334(x90691)),x90692)),x90693))
% 184.29/184.09 [9103]P36(x91031,x91032)+P1(f775(f775(f334(f856(x91031,x91031)),f775(f775(f241(x91031,x91031),f775(f589(x91032,x91031),f775(a114,x91033))),f775(f589(x91032,x91031),x91033))),x91032))
% 184.29/184.09 [9229]P1(f775(f775(f334(f857(x92291,a844)),x92292),f775(f301(x92291),x92293)))+~P1(f775(f245(x92291,f775(f775(f9(x92291,f857(x92291,a844),a844),f334(x92291)),x92293)),x92292))
% 184.29/184.09 [9289]P1(f775(f775(f334(x92891),f775(f265(x92891,x92892),x92893)),f775(f158(x92891),f775(f775(f143(f856(a101,x92891),x92891),f250(a101,x92891)),x92892))))+~P1(f775(f775(f233(a101),x92893),f775(f155(a101),f775(f775(f143(f856(a101,x92891),a101),f240(a101,x92891)),x92892))))
% 184.29/184.09 [9337]P1(f775(f775(f232(f857(f856(f851(x93371),f851(x93371)),a844)),f147(x93371,x93372)),f775(f775(f248(f851(x93371),f851(x93371)),f149(x93371,x93373)),f775(f18(f857(f851(x93371),a844),f851(x93371)),f149(x93371,x93373)))))+~P1(f775(f775(f232(f857(f856(x93371,x93371),a844)),x93372),f775(f775(f248(x93371,x93371),x93373),f775(f18(f857(x93371,a844),x93371),x93373))))
% 184.29/184.09 [9357]P1(f775(f775(f334(x93571),f775(f240(x93571,f856(a101,a101)),f775(f263(x93571,x93572),x93573))),f775(f158(x93571),f775(f775(f143(f856(a101,x93571),x93571),f250(a101,x93571)),x93572))))+~P1(f775(f775(f233(a101),f2(a101)),f775(f155(a101),f775(f775(f143(f856(a101,x93571),a101),f240(a101,x93571)),x93572))))
% 184.29/184.09 [9372]~P1(f775(f775(f232(f857(f856(x93721,x93721),a844)),x93722),f775(f775(f248(x93721,x93721),x93723),f775(f18(f857(x93721,a844),x93721),x93723))))+P1(f775(f775(f232(f857(f856(x93721,x93721),a844)),f775(f775(f281(x93721,x93721,x93721),x93722),f300(x93721,x93722))),f775(f775(f248(x93721,x93721),x93723),f775(f18(f857(x93721,a844),x93721),x93723))))
% 184.29/184.09 [9653]~P36(x96531,x96532)+~P1(f775(f775(f334(f856(x96531,x96531)),f775(f775(f241(x96531,x96531),f775(x96533,f775(a114,f590(x96532,x96531,x96533)))),f775(x96533,f590(x96532,x96531,x96533)))),x96532))
% 184.29/184.09 [9654]~P36(x96541,x96542)+~P1(f775(f775(f334(f856(x96541,x96541)),f775(f775(f241(x96541,x96541),f775(x96543,f775(a114,f635(x96543,x96542,x96541)))),f775(x96543,f635(x96543,x96542,x96541)))),x96542))
% 184.29/184.09 [9909]P1(f775(f775(f232(f857(f856(f857(x99091,a844),f857(x99091,a844)),a844)),f775(f775(f281(f857(x99091,a844),f857(x99091,a844),f857(x99091,a844)),f326(x99091,x99092)),f775(f775(f103(f857(f856(f857(x99091,a844),f857(x99091,a844)),a844)),f326(x99091,x99093)),f775(f775(f302(f856(f857(x99091,a844),f857(x99091,a844))),f775(f775(f241(f857(x99091,a844),f857(x99091,a844)),f180(f857(x99091,a844))),f180(f857(x99091,a844)))),f180(f857(f856(f857(x99091,a844),f857(x99091,a844)),a844)))))),f326(x99091,x99092)))+~P1(f775(f775(f232(f857(f856(x99091,x99091),a844)),f775(f775(f281(x99091,x99091,x99091),x99092),x99093)),x99092))
% 184.29/184.09 [9910]P1(f775(f775(f232(f857(f856(f857(x99101,a844),f857(x99101,a844)),a844)),f775(f775(f281(f857(x99101,a844),f857(x99101,a844),f857(x99101,a844)),f324(x99101,x99102)),f775(f775(f103(f857(f856(f857(x99101,a844),f857(x99101,a844)),a844)),f324(x99101,x99103)),f775(f775(f302(f856(f857(x99101,a844),f857(x99101,a844))),f775(f775(f241(f857(x99101,a844),f857(x99101,a844)),f180(f857(x99101,a844))),f180(f857(x99101,a844)))),f180(f857(f856(f857(x99101,a844),f857(x99101,a844)),a844)))))),f324(x99101,x99102)))+~P1(f775(f775(f232(f857(f856(x99101,x99101),a844)),f775(f775(f281(x99101,x99101,x99101),x99102),x99103)),x99102))
% 184.29/184.09 [7182]~P1(f775(f775(f232(a850),x71822),x71821))+E(f775(f775(f3(a850),f775(a114,f775(f775(f3(a850),x71821),x71822))),x71823),f775(f775(f3(a850),f775(a114,x71821)),f775(f775(f82(a850),x71822),x71823)))
% 184.29/184.09 [7222]~P7(x72221)+E(f775(f775(f82(x72221),f52(x72221,x72222,x72223)),f775(f775(f83(x72221),f775(f775(f43(x72221),x72222),x72223)),x72223)),x72222)
% 184.29/184.09 [7442]E(f775(f775(f83(a850),f775(f106(a850),x74421)),f775(f775(f83(a850),f775(f106(a850),x74422)),x74423)),f775(f775(f83(a850),f775(f106(a850),f775(f775(f83(a1),x74421),x74422))),x74423))+P1(f775(f775(f233(a1),x74421),a85))
% 184.29/184.09 [7915]~P1(f775(f775(f232(a850),x79153),x79152))+P1(f775(f775(f232(a850),x79151),f775(f775(f3(a850),f775(f775(f82(a850),x79152),x79151)),x79153)))
% 184.29/184.09 [8110]~P1(f775(f775(f232(a850),x81101),x81102))+E(f775(f775(f125(a850),f130(a850,f775(f294(a850,x81101),x81102))),f130(a850,f775(f294(a850,x81102),f775(f775(f82(a850),x81102),x81103)))),f130(a850,f775(f294(a850,x81101),f775(f775(f82(a850),x81102),x81103))))
% 184.29/184.09 [8367]~P1(f775(f63(x83671),x83672))+E(f775(a114,f775(f42(x83671),f775(f775(f3(f857(x83671,a844)),x83672),f775(f775(f302(x83671),x83673),f180(f857(x83671,a844)))))),f775(f42(x83671),f775(f775(f302(x83671),x83673),x83672)))
% 184.29/184.09 [8411]~P1(f775(f63(x84111),x84112))+E(f775(f775(f82(a850),f80(a850)),f775(f42(x84111),f775(f775(f3(f857(x84111,a844)),x84112),f775(f775(f302(x84111),x84113),f180(f857(x84111,a844)))))),f775(f42(x84111),f775(f775(f302(x84111),x84113),x84112)))
% 184.29/184.09 [8582]E(f775(f775(f3(a850),f775(f42(x85821),x85822)),f775(f42(x85821),f775(f775(f104(f857(x85821,a844)),x85822),x85823))),f775(f42(x85821),f775(f775(f3(f857(x85821,a844)),x85822),x85823)))+~P1(f775(f63(x85821),f775(f775(f104(f857(x85821,a844)),x85822),x85823)))
% 184.29/184.09 [8794]~P10(f775(x87942,f425(x87942,x87943,x87941)))+E(f775(f102(a1),f775(f775(f8(x87941,a850),f775(f775(f10(a1,a850,x87941),a107),x87942)),x87943)),f775(f775(f8(x87941,a1),x87942),x87943))
% 184.29/184.09 [8795]~P10(f775(x87952,f462(x87952,x87953,x87951)))+E(f775(f102(a1),f775(f775(f11(x87951,a850),f775(f775(f10(a1,a850,x87951),a107),x87952)),x87953)),f775(f775(f11(x87951,a1),x87952),x87953))
% 184.29/184.09 [8827]~P1(f775(f63(x88271),x88273))+P1(f775(f775(f232(a850),f775(f775(f3(a850),f775(f42(x88271),x88272)),f775(f42(x88271),x88273))),f775(f42(x88271),f775(f775(f3(f857(x88271,a844)),x88272),x88273))))
% 184.29/184.09 [8851]P1(f775(f775(f334(x88511),f425(x88512,x88513,x88511)),x88513))+E(f775(f102(a1),f775(f775(f8(x88511,a850),f775(f775(f10(a1,a850,x88511),a107),x88512)),x88513)),f775(f775(f8(x88511,a1),x88512),x88513))
% 184.29/184.09 [8852]P1(f775(f775(f334(x88521),f462(x88522,x88523,x88521)),x88523))+E(f775(f102(a1),f775(f775(f11(x88521,a850),f775(f775(f10(a1,a850,x88521),a107),x88522)),x88523)),f775(f775(f11(x88521,a1),x88522),x88523))
% 184.29/184.09 [8919]E(f87(x89191,f775(f775(f9(x89191,f857(x89191,a844),a844),f334(x89191)),f775(f775(f3(f857(x89191,a844)),x89192),f775(f775(f302(x89191),x89193),f180(f857(x89191,a844)))))),f244(x89191,x89193,x89192))+P1(f775(f775(f232(f857(x89191,a844)),x89192),f775(f775(f302(x89191),x89193),f180(f857(x89191,a844)))))
% 184.29/184.09 [9230]E(f775(f775(f143(f851(x92301),x92301),f775(f775(f9(f851(x92301),a850,x92301),f153(x92301)),x92302)),f775(f126(f851(x92301),f775(f775(f10(a850,a844,f851(x92301)),f775(f233(a850),x92302)),f181(f851(x92301)))),x92303)),f775(f775(f153(f851(x92301)),f164(x92301,x92303)),x92302))+~P1(f775(f775(f233(a850),x92302),f775(f181(f851(f851(x92301))),f164(x92301,x92303))))
% 184.29/184.09 [9529]~P1(f775(f775(f334(f856(x95291,x95291)),x95292),f300(x95291,x95293)))+P1(f775(f775(f334(f856(x95291,x95291)),x95292),f775(f775(f46(a850,f857(f856(x95291,x95291),a844)),f239(f857(a850,a844))),f775(f775(f9(a850,f857(f856(x95291,x95291),a844),f857(f856(x95291,x95291),a844)),f173(f856(x95291,x95291),a844)),x95293))))
% 184.29/184.09 [9582]~P1(f775(f775(f232(f857(x95821,a844)),f775(f775(f46(a850,f857(x95821,a844)),f775(f294(a850,f2(a850)),f397(x95823,x95822,x95821))),x95822)),x95823))+P1(f775(f775(f232(f857(x95821,a844)),f775(f775(f46(a850,f857(x95821,a844)),f239(f857(a850,a844))),x95822)),x95823))
% 184.29/184.09 [9630]~P1(f775(f775(f233(a1),f2(a1)),x96303))+P1(f775(f775(f233(a1),x96301),f775(f775(f82(a1),x96302),f775(f775(f83(a1),f775(f775(f82(a1),f775(f77(a1),f775(f775(f3(a1),x96302),x96301))),f80(a1))),x96303))))
% 184.29/184.09 [9640]~P36(x96401,f775(f775(f103(f857(f856(x96401,x96401),a844)),x96402),x96403))+P36(x96401,f775(f775(f103(f857(f856(x96401,x96401),a844)),f775(f775(f103(f857(f856(x96401,x96401),a844)),f775(f775(f281(x96401,x96401,x96401),x96402),x96402)),f775(f775(f281(x96401,x96401,x96401),x96403),x96402))),x96403))
% 184.29/184.09 [9706]P36(x97061,f775(f775(f103(f857(f856(x97061,x97061),a844)),x97062),x97063))+~P36(x97061,f775(f775(f103(f857(f856(x97061,x97061),a844)),f775(f775(f103(f857(f856(x97061,x97061),a844)),f775(f775(f281(x97061,x97061,x97061),x97062),x97062)),f775(f775(f281(x97061,x97061,x97061),x97063),x97062))),x97063))
% 184.29/184.09 [9311]~P133(x93111)+E(f775(f105(x93111),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x93112),x93113)),f180(f857(f856(a850,a850),a844)))))),f775(f775(f3(x93111),f775(f102(x93111),x93112)),f775(f102(x93111),x93113)))
% 184.29/184.09 [9390]P1(f775(x93903,x93902))+E(f775(f256(x93901),f775(f775(f20(x93901,a844,a844),f775(f775(f10(a844,f857(a844,a844),x93901),a331),f775(f775(f9(x93901,x93901,a844),a330),x93902))),x93903)),f180(f857(x93901,a844)))
% 184.29/184.09 [9392]~P1(f775(x93923,x93922))+E(f775(f256(x93921),f775(f775(f20(x93921,a844,a844),f775(f775(f10(a844,f857(a844,a844),x93921),a331),f775(f775(f9(x93921,x93921,a844),a330),x93922))),x93923)),f775(f775(f302(x93921),x93922),f180(f857(x93921,a844))))
% 184.29/184.09 [9698]~P1(f775(f63(x96981),x96983))+E(f775(f775(f66(x96981,f857(x96981,a844),f775(f775(f10(f857(x96981,a844),f857(f857(x96981,a844),f857(x96981,a844)),x96981),f775(f9(f857(x96981,a844),f857(x96981,a844),f857(x96981,a844)),f3(f857(x96981,a844)))),f775(f775(f9(x96981,f857(x96981,a844),f857(x96981,a844)),f302(x96981)),f180(f857(x96981,a844))))),x96982),x96983),f775(f775(f3(f857(x96981,a844)),x96982),x96983))
% 184.29/184.09 [9731]~P1(f775(f775(f233(a1),f2(a1)),x97313))+P1(f775(f775(f233(a1),f775(f775(f3(a1),x97311),f775(f775(f83(a1),f775(f775(f82(a1),f775(f77(a1),f775(f775(f3(a1),x97311),x97312))),f80(a1))),x97313))),x97312))
% 184.29/184.09 [9977]~P1(f775(f775(f334(x99771),x99773),f322(x99771,x99772)))+P1(f775(f321(x99771,f775(f775(f9(x99771,f857(f856(x99771,x99771),a844),f857(x99771,a844)),f775(f775(f10(f857(x99771,f857(f857(f856(x99771,x99771),a844),a844)),f857(f857(f856(x99771,x99771),a844),f857(x99771,a844)),x99771),f9(x99771,f857(f856(x99771,x99771),a844),a844)),f775(f775(f10(f857(x99771,f856(x99771,x99771)),f857(x99771,f857(f857(f856(x99771,x99771),a844),a844)),x99771),f775(f10(f856(x99771,x99771),f857(f857(f856(x99771,x99771),a844),a844),x99771),f334(f856(x99771,x99771)))),f241(x99771,x99771)))),x99772)),x99773))
% 184.29/184.09 [9989]P1(f775(f775(f334(x99891),x99892),f322(x99891,x99893)))+~P1(f775(f321(x99891,f775(f775(f9(x99891,f857(f856(x99891,x99891),a844),f857(x99891,a844)),f775(f775(f10(f857(x99891,f857(f857(f856(x99891,x99891),a844),a844)),f857(f857(f856(x99891,x99891),a844),f857(x99891,a844)),x99891),f9(x99891,f857(f856(x99891,x99891),a844),a844)),f775(f775(f10(f857(x99891,f856(x99891,x99891)),f857(x99891,f857(f857(f856(x99891,x99891),a844),a844)),x99891),f775(f10(f856(x99891,x99891),f857(f857(f856(x99891,x99891),a844),a844),x99891),f334(f856(x99891,x99891)))),f241(x99891,x99891)))),x99893)),x99892))
% 184.29/184.09 [9580]~P1(f775(f63(x95801),f775(f256(x95801),x95803)))+P1(f775(f63(x95801),f775(f256(x95801),f775(f775(f20(x95801,a844,a844),f775(f775(f10(a844,f857(a844,a844),x95801),a331),x95802)),x95803))))
% 184.29/184.09 [9581]~P1(f775(f63(x95811),f775(f256(x95811),x95812)))+P1(f775(f63(x95811),f775(f256(x95811),f775(f775(f20(x95811,a844,a844),f775(f775(f10(a844,f857(a844,a844),x95811),a331),x95812)),x95813))))
% 184.29/184.09 [9665]P1(f775(f63(x96651),f775(f256(x96651),x96652)))+~P1(f775(f63(x96651),f775(f256(x96651),f775(f775(f20(x96651,a844,a844),f775(f775(f10(a844,f857(a844,a844),x96651),a332),x96653)),x96652))))
% 184.29/184.09 [9666]P1(f775(f63(x96661),f775(f256(x96661),x96662)))+~P1(f775(f63(x96661),f775(f256(x96661),f775(f775(f20(x96661,a844,a844),f775(f775(f10(a844,f857(a844,a844),x96661),a332),x96662)),x96663))))
% 184.29/184.09 [9962]~P1(f775(f63(x99621),x99622))+P1(f775(f63(f851(x99621)),f775(f256(f851(x99621)),f775(f775(f20(f851(x99621),a844,a844),f775(f775(f10(a844,f857(a844,a844),f851(x99621)),a331),f775(f775(f9(f851(x99621),f857(x99621,a844),a844),f775(f775(f10(f857(x99621,a844),f857(f857(x99621,a844),a844),f851(x99621)),f232(f857(x99621,a844))),f158(x99621))),x99622))),f775(f775(f9(f851(x99621),a850,a844),f775(f775(f10(a850,f857(a850,a844),f851(x99621)),a330),f181(f851(x99621)))),x99623)))))
% 184.29/184.09 [9963]~P1(f775(f63(x99631),x99632))+P1(f775(f63(f851(x99631)),f775(f256(f851(x99631)),f775(f775(f20(f851(x99631),a844,a844),f775(f775(f10(a844,f857(a844,a844),f851(x99631)),a331),f775(f775(f9(f851(x99631),f857(x99631,a844),a844),f775(f775(f10(f857(x99631,a844),f857(f857(x99631,a844),a844),f851(x99631)),f232(f857(x99631,a844))),f158(x99631))),x99632))),f775(f775(f9(f851(x99631),a850,a844),f775(f775(f10(a850,f857(a850,a844),f851(x99631)),f232(a850)),f181(f851(x99631)))),x99633)))))
% 184.29/184.09 [9679]~P85(x96791)+E(f775(f775(f242(x96791),x96792),f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x96793)),f775(f775(f83(x96791),f775(f775(f242(x96791),x96792),x96793)),f775(f775(f242(x96791),x96792),x96793)))
% 184.29/184.09 [9710]~P75(x97101)+E(f775(f775(f242(x97101),f775(f775(f242(x97101),x97102),x97103)),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(f775(f242(x97101),x97102),f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97103)))
% 184.29/184.09 [9771]~P133(x97711)+E(f775(f775(f242(x97711),f775(f81(x97711),x97712)),f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97713)),f775(f775(f242(x97711),x97712),f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97713)))
% 184.29/184.09 [9914]~P110(x99141)+P1(f775(f775(f232(x99141),f2(x99141)),f775(f775(f82(x99141),f775(f775(f242(x99141),x99142),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x99141),x99143),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))))
% 184.29/184.09 [9781]~P85(x97811)+E(f775(f775(f242(x97811),x97812),f775(a114,f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97813))),f775(f775(f83(x97811),x97812),f775(f775(f83(x97811),f775(f775(f242(x97811),x97812),x97813)),f775(f775(f242(x97811),x97812),x97813))))
% 184.29/184.09 [9830]~P75(x98301)+E(f775(f775(f83(x98301),x98302),f775(f775(f242(x98301),f775(f775(f242(x98301),x98302),x98303)),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x98301),x98302),f775(a114,f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x98303))))
% 184.29/184.09 [9874]~P110(x98741)+P1(f775(f775(f232(x98741),f2(x98741)),f775(f775(f242(x98741),x98742),f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x98743))))
% 184.29/184.09 [9943]~P88(x99431)+E(f775(f775(f82(x99431),f775(f775(f82(x99431),f775(f775(f242(x99431),x99432),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x99431),x99433),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))),f775(f775(f83(x99431),f775(f775(f83(x99431),f775(f106(x99431),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x99432)),x99433)),f775(f775(f242(x99431),f775(f775(f82(x99431),x99432),x99433)),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.09 [9944]~P88(x99441)+E(f775(f775(f3(x99441),f775(f775(f82(x99441),f775(f775(f242(x99441),x99442),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x99441),x99443),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))),f775(f775(f83(x99441),f775(f775(f83(x99441),f775(f106(x99441),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x99442)),x99443)),f775(f775(f242(x99441),f775(f775(f3(x99441),x99442),x99443)),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.09 [4579]E(x45791,x45792)+~E(f35(x45793,x45791),f35(x45794,x45792))
% 184.29/184.09 [4580]E(x45801,x45802)+~E(f35(x45801,x45803),f35(x45802,x45804))
% 184.29/184.09 [4581]E(x45811,x45812)+~E(f36(x45813,x45811),f36(x45814,x45812))
% 184.29/184.09 [4582]E(x45821,x45822)+~E(f36(x45821,x45823),f36(x45822,x45824))
% 184.29/184.09 [4583]E(x45831,x45832)+~E(f28(x45833,x45831),f28(x45834,x45832))
% 184.29/184.09 [4584]E(x45841,x45842)+~E(f28(x45841,x45843),f28(x45842,x45844))
% 184.29/184.09 [5701]P39(f35(x57011,x57013),x57012,x57014,x57012)+P1(f775(x57011,x57012))
% 184.29/184.09 [6865]~P39(x68651,x68652,x68653,x68654)+P39(x68651,x68652,f775(a114,x68653),x68654)
% 184.29/184.09 [7712]P29(x77121,x77122,x77123,x77124)+~E(f505(x77124,x77123,x77122,x77121),f519(x77124,x77123,x77122,x77121))
% 184.29/184.09 [8212]~P29(x82121,f854(x82122),x82124,f169(x82121,x82122,x82124))+P29(x82121,f854(x82122),f170(x82121,x82122,x82123,x82124),f169(x82121,x82122,x82124))
% 184.29/184.09 [8426]~P29(x84261,f854(x84262),f170(x84261,x84262,x84264,x84263),f169(x84261,x84262,x84263))+P29(x84261,f854(x84262),x84263,f169(x84261,x84262,x84263))
% 184.29/184.09 [4946]~P21(x49463,x49461,x49464)+E(f775(f775(x49461,x49462),x49462),x49462)
% 184.29/184.09 [4949]E(x49491,x49492)+~E(f775(f304(x49493,x49494),x49491),f775(f304(x49493,x49494),x49492))
% 184.29/184.09 [4951]E(x49511,x49512)+~E(f775(f313(x49513,x49514),x49511),f775(f313(x49513,x49514),x49512))
% 184.29/184.09 [5228]~E(x52284,f180(f857(x52281,a844)))+E(f775(f303(x52281,x52282,x52283),x52284),f180(f857(x52282,a844)))
% 184.29/184.09 [5491]~E(f775(f303(x54912,x54913,x54914),x54911),f180(f857(x54913,a844)))+E(x54911,f180(f857(x54912,a844)))
% 184.29/184.09 [5782]~P100(x57822)+E(f775(f775(f138(x57821,x57822,x57823),x57824),f115(x57821)),f775(f775(f140(x57821),x57824),f115(x57821)))
% 184.29/184.09 [5817]E(f775(x58171,x58172),f183(x58173))+P1(f775(f775(f334(x58174),x58172),f169(x58174,x58173,x58171)))
% 184.29/184.09 [6141]~E(x61411,f180(f857(x61412,a844)))+~P1(f775(f64(x61412,x61413,x61411),x61414))
% 184.29/184.09 [6162]~P57(x61621,x61623,x61624,x61622)+P1(f775(f63(x61621),x61622))
% 184.29/184.09 [6163]~P57(x61631,x61633,x61632,x61634)+P1(f775(f63(x61631),x61632))
% 184.29/184.09 [6170]~P57(x61702,x61703,x61704,x61701)+~E(x61701,f180(f857(x61702,a844)))
% 184.29/184.09 [6202]~P99(x62021)+E(f775(f775(f104(f857(x62021,a844)),f775(f294(x62021,x62022),x62023)),f295(x62021,x62023,x62024)),f180(f857(x62021,a844)))
% 184.29/184.09 [6231]~P1(f775(f775(x62313,x62314),x62312))+P1(f775(f775(f334(x62311),x62312),f287(x62311,x62313,x62314)))
% 184.29/184.09 [6232]~P1(f775(f775(x62323,x62324),x62322))+P1(f775(f775(f334(x62321),x62322),f286(x62321,x62323,x62324)))
% 184.29/184.09 [6233]~P1(f775(f775(x62333,x62332),x62334))+P1(f775(f775(f334(x62331),x62332),f290(x62331,x62333,x62334)))
% 184.29/184.09 [6234]~P1(f775(f775(x62343,x62342),x62344))+P1(f775(f775(f334(x62341),x62342),f288(x62341,x62343,x62344)))
% 184.29/184.09 [6386]~P99(x63861)+E(f775(f775(f104(f857(x63861,a844)),f295(x63861,x63862,x63863)),f297(x63861,x63863,x63864)),f180(f857(x63861,a844)))
% 184.29/184.09 [6387]~P99(x63871)+E(f775(f775(f104(f857(x63871,a844)),f295(x63871,x63872,x63873)),f298(x63871,x63873,x63874)),f180(f857(x63871,a844)))
% 184.29/184.09 [6388]~P99(x63881)+E(f775(f775(f104(f857(x63881,a844)),f297(x63881,x63882,x63883)),f297(x63881,x63883,x63884)),f180(f857(x63881,a844)))
% 184.29/184.09 [6389]~P99(x63891)+E(f775(f775(f104(f857(x63891,a844)),f297(x63891,x63892,x63893)),f298(x63891,x63893,x63894)),f180(f857(x63891,a844)))
% 184.29/184.09 [6390]~P99(x63901)+E(f775(f775(f104(f857(x63901,a844)),f298(x63901,x63902,x63903)),f295(x63901,x63903,x63904)),f180(f857(x63901,a844)))
% 184.29/184.09 [6428]P1(f775(f775(x64281,x64282),f596(x64282,x64281)))+~P1(f775(f246(x64283,x64284,x64281),x64282))
% 184.29/184.09 [6482]~E(f775(x64821,x64822),f183(x64823))+~P1(f775(f775(f334(x64824),x64822),f169(x64824,x64823,x64821)))
% 184.29/184.09 [6564]~P2(x65641)+E(f182(x65641,x65642,f775(a114,x65643),x65644),f182(x65641,x65642,x65643,f775(x65642,x65644)))
% 184.29/184.09 [6629]~P1(f775(f775(f334(x66294),x66293),f287(x66294,x66291,x66292)))+P1(f775(f775(x66291,x66292),x66293))
% 184.29/184.09 [6630]~P1(f775(f775(f334(x66304),x66303),f286(x66304,x66301,x66302)))+P1(f775(f775(x66301,x66302),x66303))
% 184.29/184.09 [6631]~P1(f775(f775(f334(x66314),x66312),f290(x66314,x66311,x66313)))+P1(f775(f775(x66311,x66312),x66313))
% 184.29/184.09 [6632]~P1(f775(f775(f334(x66324),x66322),f288(x66324,x66321,x66323)))+P1(f775(f775(x66321,x66322),x66323))
% 184.29/184.09 [6715]E(f775(f42(f858(x67151,x67152)),f314(x67151,x67152,x67153,x67154)),f2(a850))+P1(f775(f63(x67152),x67154))
% 184.29/184.09 [6716]E(f775(f42(f858(x67161,x67162)),f314(x67161,x67162,x67163,x67164)),f2(a850))+P1(f775(f63(x67161),x67163))
% 184.29/184.09 [6927]~P19(x69274,x69271,x69272)+E(f775(f75(x69271,x69271,x69271,f775(x69272,x69273)),f775(x69272,x69273)),f775(x69272,x69273))
% 184.29/184.09 [7167]E(f272(x71671,x71672,x71673,x71674),f775(f241(f857(a101,f857(a844,f854(f852(x71671)))),f856(a101,a101)),f48(x71671)))+~P1(f775(f775(f232(a101),x71673),f2(a101)))
% 184.29/184.09 [7233]~P39(f775(a27,x72331),x72332,f775(a114,x72333),x72334)+P39(f775(f231(a845),f775(a30,x72331)),x72332,x72333,x72334)
% 184.29/184.09 [7270]P39(f775(a27,x72701),x72702,f775(a114,x72703),x72704)+~P39(f775(f231(a845),f775(a30,x72701)),x72702,x72703,x72704)
% 184.29/184.09 [7570]~P39(f775(a27,x75704),x75703,x75702,x75701)+E(f775(a114,f442(x75701,x75702,x75703,x75704)),x75702)
% 184.29/184.09 [7840]~E(x78402,x78403)+P1(f775(f775(f334(f856(x78401,x78401)),f775(f775(f241(x78401,x78401),x78402),x78403)),f300(x78401,x78404)))
% 184.29/184.09 [7866]~P29(x78661,x78662,x78663,f239(f857(x78661,a844)))+E(f775(f79(x78661,x78662,f239(f857(x78661,a844)),x78663),f775(x78663,x78664)),x78664)
% 184.29/184.09 [7958]~P1(f775(f775(f334(f851(x79581)),f775(f775(f140(x79581),x79584),x79582)),f149(x79581,x79583)))+P1(f775(f775(f334(f851(x79581)),x79582),f149(x79581,x79583)))
% 184.29/184.09 [7959]~P1(f775(f775(f334(f851(x79591)),f775(f775(f125(x79591),x79594),x79592)),f149(x79591,x79593)))+P1(f775(f775(f334(f851(x79591)),x79592),f149(x79591,x79593)))
% 184.29/184.09 [7960]~P1(f775(f775(f334(f851(x79601)),f775(f775(f125(x79601),x79602),x79604)),f149(x79601,x79603)))+P1(f775(f775(f334(f851(x79601)),x79602),f149(x79601,x79603)))
% 184.29/184.09 [8034]~P39(f775(a27,x80341),x80342,x80344,x80343)+P39(f775(f231(a845),f775(a30,x80341)),x80342,f442(x80343,x80344,x80342,x80341),x80343)
% 184.29/184.09 [8071]P29(x80714,x80713,x80711,x80712)+E(f775(x80711,f505(x80712,x80711,x80713,x80714)),f775(x80711,f519(x80712,x80711,x80713,x80714)))
% 184.29/184.09 [8080]E(f170(x80801,x80802,x80803,x80804),f170(x80801,x80802,x80804,x80803))+~E(f775(f775(f104(f857(x80801,a844)),f169(x80801,x80802,x80803)),f169(x80801,x80802,x80804)),f180(f857(x80801,a844)))
% 184.29/184.09 [8177]~P29(x81772,x81771,x81774,x81773)+P29(x81771,x81772,f79(x81772,x81771,x81773,x81774),f775(f303(x81772,x81771,x81774),x81773))
% 184.29/184.09 [8312]P36(f856(x83122,x83124),f275(x83122,x83124,x83121,x83123))+P1(f775(x83121,f593(x83122,x83123,x83124,x83121)))
% 184.29/184.09 [8433]E(x84331,x84332)+~P1(f775(f775(f334(f856(x84333,x84333)),f775(f775(f241(x84333,x84333),x84331),x84332)),f260(x84333,x84334)))
% 184.29/184.09 [8467]~E(f775(x84671,f515(x84673,x84672,x84674,x84671)),f775(f174(x84674,x84672,x84673),f515(x84673,x84672,x84674,x84671)))+E(f775(x84671,f2(a850)),x84672)
% 184.29/184.09 [8501]~P1(f775(f63(f858(x85013,x85011)),f314(x85013,x85011,x85014,x85012)))+P1(f775(f63(x85011),x85012))
% 184.29/184.09 [8502]~P1(f775(f63(f858(x85021,x85023)),f314(x85021,x85023,x85022,x85024)))+P1(f775(f63(x85021),x85022))
% 184.29/184.09 [8663]P36(f856(x86631,x86632),f275(x86631,x86632,x86633,x86634))+~P36(x86632,f775(x86634,f593(x86631,x86634,x86632,x86633)))
% 184.29/184.09 [9164]E(f775(f775(f148(x91641,x91642),f737(x91643,x91644,x91642,x91641)),f738(x91643,x91644,x91642,x91641)),x91644)+~P1(f775(f775(f334(f856(f851(x91641),f851(x91641))),f775(f775(f241(f851(x91641),f851(x91641)),x91642),x91644)),f146(x91641,x91643)))
% 184.29/184.09 [9168]~P1(f775(f775(f334(f856(f851(x91681),f851(x91681))),f775(f775(f241(f851(x91681),f851(x91681)),x91682),x91683)),f135(x91681,x91684)))+P1(f775(f775(f334(f856(f851(x91681),f851(x91681))),f775(f775(f241(f851(x91681),f851(x91681)),x91682),x91683)),f137(x91681,x91684)))
% 184.29/184.09 [9265]P1(f775(f63(x92651),x92652))+~P1(f775(f775(f334(f856(f857(x92651,a844),f857(x92651,a844))),f775(f775(f241(f857(x92651,a844),f857(x92651,a844)),x92653),x92652)),f324(x92651,x92654)))
% 184.29/184.09 [9266]P1(f775(f63(x92661),x92662))+~P1(f775(f775(f334(f856(f857(x92661,a844),f857(x92661,a844))),f775(f775(f241(f857(x92661,a844),f857(x92661,a844)),x92662),x92663)),f324(x92661,x92664)))
% 184.29/184.09 [9269]~E(x92691,f180(f857(x92692,a844)))+~P1(f775(f775(f334(f856(f857(x92692,a844),f857(x92692,a844))),f775(f775(f241(f857(x92692,a844),f857(x92692,a844)),x92693),x92691)),f324(x92692,x92694)))
% 184.29/184.09 [9885]P16(x98851,x98852,x98853,x98854)+~P1(f775(f775(f251(x98851,x98851,a844),f775(f775(f9(x98851,f857(x98851,x98852),f857(x98851,a844)),f775(f775(f10(f857(x98852,a844),f857(f857(x98851,x98852),f857(x98851,a844)),x98851),f10(x98852,a844,x98851)),f775(f775(f10(x98852,f857(x98852,a844),x98851),a330),x98854))),x98854)),f498(x98854,x98853,x98852,x98851)))
% 184.29/184.09 [4849]~E(x48494,f115(x48491))+E(f775(f775(f143(x48491,x48492),x48493),x48494),f115(x48492))
% 184.29/184.09 [4850]~E(x48504,f183(x48501))+E(f775(f775(f196(x48501,x48502),x48503),x48504),f183(x48502))
% 184.29/184.09 [4851]~E(x48512,f115(x48511))+E(f775(f775(f148(x48511,x48512),x48513),x48514),f115(x48511))
% 184.29/184.09 [5088]E(x50881,f183(x50882))+~E(f775(f775(f196(x50882,x50883),x50884),x50881),f183(x50883))
% 184.29/184.09 [5089]E(x50891,f115(x50892))+~E(f775(f775(f143(x50892,x50893),x50894),x50891),f115(x50893))
% 184.29/184.09 [5090]E(x50901,f115(x50902))+~E(f775(f775(f148(x50902,x50901),x50903),x50904),f115(x50902))
% 184.29/184.09 [5120]E(x51201,x51202)+~E(f775(f775(f125(x51203),x51204),x51201),f775(f775(f125(x51203),x51204),x51202))
% 184.29/184.09 [5121]E(x51211,x51212)+~E(f775(f775(f125(x51213),x51211),x51214),f775(f775(f125(x51213),x51212),x51214))
% 184.29/184.09 [5263]P1(f775(x52633,x52632))+E(f151(x52631,x52632,f775(f126(x52631,x52633),x52634)),f775(f126(x52631,x52633),x52634))
% 184.29/184.09 [5274]E(x52741,x52742)+~E(f130(a850,f775(f294(a850,x52741),x52743)),f775(f775(f140(a850),x52742),x52744))
% 184.29/184.09 [5321]~P30(x53212,x53213)+P30(x53211,f775(f775(f76(x53212,x53211),x53213),x53214))
% 184.29/184.09 [5322]~P36(x53222,x53223)+P36(x53221,f775(f775(f280(x53222,x53221),x53223),x53224))
% 184.29/184.09 [5531]~E(x55311,f115(x55312))+~E(f775(f775(f125(x55312),x55313),f775(f775(f140(x55312),x55314),f115(x55312))),x55311)
% 184.29/184.09 [5564]E(f134(x55641,x55642),x55643)+~E(f775(f775(f125(x55641),x55644),f775(f775(f140(x55641),x55643),f115(x55641))),x55642)
% 184.29/184.09 [5565]E(f116(x55651,x55652),x55653)+~E(f775(f775(f125(x55651),x55653),f775(f775(f140(x55651),x55654),f115(x55651))),x55652)
% 184.29/184.09 [5673]~E(f130(a850,f775(f294(a850,x56731),x56732)),f775(f775(f140(a850),x56733),x56734))+P1(f775(f775(f233(a850),x56731),x56732))
% 184.29/184.09 [5880]E(x58801,f775(f775(f125(x58802),f775(f142(x58802),x58803)),f775(f775(f140(x58802),x58804),f115(x58802))))+~E(f775(f142(x58802),x58801),f775(f775(f140(x58802),x58804),x58803))
% 184.29/184.09 [6063]~P99(x60631)+E(f775(f775(f104(f857(x60631,a844)),f775(f294(x60631,x60632),x60633)),f775(f294(x60631,x60633),x60634)),f180(f857(x60631,a844)))
% 184.29/184.09 [6098]~P66(x60981)+E(f775(f155(x60981),f775(f775(f143(a1,x60981),x60982),f163(x60983,x60984))),f775(f775(f8(a1,x60981),x60982),f775(f158(a1),f163(x60983,x60984))))
% 184.29/184.09 [6099]~P66(x60991)+E(f775(f775(f8(a1,x60991),x60992),f775(f158(a1),f163(x60993,x60994))),f775(f155(x60991),f775(f775(f143(a1,x60991),x60992),f163(x60993,x60994))))
% 184.29/184.09 [6246]~E(x62462,f775(f775(f125(x62461),f775(f142(x62461),x62464)),f775(f775(f140(x62461),x62463),f115(x62461))))+E(f775(f142(x62461),x62462),f775(f775(f140(x62461),x62463),x62464))
% 184.29/184.09 [6262]~P23(x62622,x62623,x62624,x62621)+E(f775(x62621,f180(f857(x62622,a844))),f39(x62623))
% 184.29/184.09 [6292]~P99(x62921)+E(f775(f775(f104(f857(x62921,a844)),f298(x62921,x62922,x62923)),f775(f294(x62921,x62923),x62924)),f180(f857(x62921,a844)))
% 184.29/184.09 [6379]~P39(x63791,x63792,x63794,x63793)+P1(f775(f775(f187(x63791),x63792),x63793))
% 184.29/184.09 [6513]E(x65131,f180(f857(x65132,a844)))+~E(f314(x65133,x65132,x65134,x65131),f180(f857(f858(x65133,x65132),a844)))
% 184.29/184.09 [6514]E(x65141,f180(f857(x65142,a844)))+~E(f314(x65142,x65143,x65141,x65144),f180(f857(f858(x65142,x65143),a844)))
% 184.29/184.09 [6594]~P1(f775(f247(x65943,x65944,x65941),x65942))+P1(f775(f775(x65941,f592(x65942,x65941)),x65942))
% 184.29/184.09 [6643]~P1(f775(f63(x66432),x66434))+P1(f775(f63(x66431),f775(f303(x66432,x66431,x66433),x66434)))
% 184.29/184.09 [6886]~P29(x68862,x68861,x68863,x68864)+E(f775(f42(x68861),f775(f303(x68862,x68861,x68863),x68864)),f775(f42(x68862),x68864))
% 184.29/184.09 [6906]E(f775(f303(x69061,x69062,x69063),f775(f305(x69061,x69062,x69063),x69064)),x69064)+~E(f775(f303(x69061,x69062,x69063),f239(f857(x69061,a844))),f239(f857(x69062,a844)))
% 184.29/184.09 [7334]~P29(x73341,x73342,x73343,f239(f857(x73341,a844)))+E(f775(f305(x73341,x73342,x73343),f775(f303(x73341,x73342,x73343),x73344)),x73344)
% 184.29/184.09 [7674]P1(f775(x76741,x76742))+~P1(f775(f775(f334(x76743),x76742),f775(f158(x76743),f162(x76743,x76741,x76744))))
% 184.29/184.09 [7784]~P1(f775(f775(f334(f851(x77841)),f775(f775(f140(x77841),x77842),x77844)),f149(x77841,x77843)))+P1(f775(f775(f334(x77841),x77842),x77843))
% 184.29/184.09 [7911]~P1(f775(f775(f334(x79111),x79112),f775(f158(x79111),f151(x79111,x79114,x79113))))+P1(f775(f775(f334(x79111),x79112),f775(f158(x79111),x79113)))
% 184.29/184.09 [7913]~P1(f775(f775(f334(x79131),x79132),f775(f158(x79131),f160(x79131,x79133,x79134))))+P1(f775(f775(f334(x79131),x79132),f775(f158(x79131),x79133)))
% 184.29/184.09 [7914]~P1(f775(f775(f334(x79141),x79142),f775(f158(x79141),f162(x79141,x79144,x79143))))+P1(f775(f775(f334(x79141),x79142),f775(f158(x79141),x79143)))
% 184.29/184.09 [8127]E(f775(f775(f153(x81271),f162(x81271,x81272,x81273)),x81274),f775(f775(f153(x81271),x81273),x81274))+~P1(f775(f775(f233(a850),x81274),f775(f181(f851(x81271)),f162(x81271,x81272,x81273))))
% 184.29/184.09 [8210]~P66(x82101)+E(f775(f775(f8(a850,x82101),f775(f775(f10(a850,x82101,a850),x82102),a114)),f775(f294(a850,x82103),x82104)),f775(f775(f8(a850,x82101),x82102),f775(f294(a850,f775(a114,x82103)),f775(a114,x82104))))
% 184.29/184.09 [8219]~P66(x82191)+E(f775(f775(f8(a850,x82191),f775(f775(f10(a850,x82191,a850),x82192),a114)),f295(a850,x82193,x82194)),f775(f775(f8(a850,x82191),x82192),f295(a850,f775(a114,x82193),f775(a114,x82194))))
% 184.29/184.09 [8351]~P29(x83511,x83513,x83514,f239(f857(x83511,a844)))+P29(x83511,f857(x83512,x83513),f775(f775(f10(x83513,f857(x83512,x83513),x83511),f18(x83513,x83512)),x83514),f239(f857(x83511,a844)))
% 184.29/184.09 [8442]~P29(x84422,x84421,x84424,x84423)+E(f775(f303(x84421,x84422,f79(x84422,x84421,x84423,x84424)),f775(f303(x84422,x84421,x84424),x84423)),x84423)
% 184.29/184.09 [8503]~P1(f775(f775(f334(f856(x85031,x85031)),f775(f775(f241(x85031,x85031),x85032),x85034)),f260(x85031,x85033)))+P1(f775(f775(f334(x85031),x85032),x85033))
% 184.29/184.09 [8578]E(f775(f775(f775(f74(x85781,f854(x85782)),f775(f18(f854(x85782),x85781),f183(x85782))),x85783),f775(f227(x85782),f529(x85783,x85784,x85782,x85781))),x85784)+~E(f169(x85781,x85782,x85784),f775(f775(f302(x85781),x85783),f180(f857(x85781,a844))))
% 184.29/184.09 [8696]~E(f775(f775(f8(x86961,a850),x86964),x86963),f775(a114,x86962))+P1(f775(f775(f334(x86961),f356(x86962,x86963,x86964,x86961)),x86963))
% 184.29/184.09 [8712]~E(f775(f775(f8(x87124,a850),x87121),x87123),f775(a114,x87122))+P1(f775(f775(f233(a850),f2(a850)),f775(x87121,f356(x87122,x87123,x87121,x87124))))
% 184.29/184.09 [8722]~P1(f775(f63(x87222),x87224))+P1(f775(f775(f232(a850),f775(f42(x87221),f775(f303(x87222,x87221,x87223),x87224))),f775(f42(x87222),x87224)))
% 184.29/184.09 [8723]E(f775(f775(f241(x87231,x87232),f700(x87233,x87234,x87232,x87231)),f701(x87233,x87234,x87232,x87231)),x87234)+~P1(f775(f775(f334(f856(x87231,x87232)),x87234),f775(f278(x87232,x87231),x87233)))
% 184.29/184.09 [8732]P29(x87321,x87322,x87323,x87324)+P1(f775(f775(f334(x87321),f505(x87324,x87323,x87322,x87321)),x87324))
% 184.29/184.09 [8733]P29(x87331,x87332,x87333,x87334)+P1(f775(f775(f334(x87331),f519(x87334,x87333,x87332,x87331)),x87334))
% 184.29/184.09 [8786]P16(x87861,x87862,x87863,x87864)+P1(f775(f775(f334(f856(x87861,x87861)),f498(x87864,x87863,x87862,x87861)),x87863))
% 184.29/184.09 [8833]P1(f775(x88331,x88332))+~P1(f775(x88331,f775(f775(f241(x88333,x88334),f830(x88334,x88333,x88331)),f831(x88334,x88333,x88331))))
% 184.29/184.09 [8846]E(f775(f181(f851(x88461)),x88462),f775(f181(f851(x88461)),x88463))+~P1(f775(f775(f334(f856(f851(x88461),f851(x88461))),f775(f775(f241(f851(x88461),f851(x88461)),x88462),x88463)),f135(x88461,x88464)))
% 184.29/184.09 [8849]E(f775(f181(f851(x88491)),x88492),f775(f181(f851(x88491)),x88493))+~P1(f775(f775(f334(f856(f851(x88491),f851(x88491))),f775(f775(f241(f851(x88491),f851(x88491)),x88492),x88493)),f147(x88491,x88494)))
% 184.29/184.09 [8850]E(f775(f181(f851(x88501)),x88502),f775(f181(f851(x88501)),x88503))+~P1(f775(f775(f334(f856(f851(x88501),f851(x88501))),f775(f775(f241(f851(x88501),f851(x88501)),x88502),x88503)),f146(x88501,x88504)))
% 184.29/184.09 [8923]P1(f775(f775(f232(a850),f144(x89231,x89232,x89233)),f144(x89231,x89234,x89233)))+P1(f775(f775(f334(x89231),f757(x89234,x89232,x89233,x89231)),f775(f158(x89231),x89233)))
% 184.29/184.09 [8924]E(f775(f181(f851(x89241)),x89242),f775(f181(f851(x89241)),x89243))+~P1(f775(f775(f334(f856(f851(x89241),f851(x89241))),f775(f775(f241(f851(x89241),f851(x89241)),x89242),x89243)),f300(f851(x89241),f146(x89241,x89244))))
% 184.29/184.09 [9036]P1(f775(f775(f279(a850),x90361),x90362))+P1(f775(f775(f232(f857(a850,a844)),f282(a850,f279(a850),x90361,x90362)),f282(a850,f279(a850),x90363,x90364)))
% 184.29/184.09 [9144]~P29(x91441,x91442,x91443,x91444)+~P1(f775(f775(f233(a850),f775(f42(x91442),f775(f303(x91441,x91442,x91443),x91444))),f775(f42(x91441),x91444)))
% 184.29/184.09 [9174]~P1(f775(f775(f334(f856(f851(x91741),f851(x91741))),f775(f775(f241(f851(x91741),f851(x91741)),x91742),x91743)),f146(x91741,x91744)))+P1(f775(f775(f334(f856(f851(x91741),f851(x91741))),f775(f775(f241(f851(x91741),f851(x91741)),x91742),x91743)),f147(x91741,f300(x91741,x91744))))
% 184.29/184.09 [9177]~P1(f775(f775(f334(f856(f851(x91771),f851(x91771))),f775(f775(f241(f851(x91771),f851(x91771)),x91772),x91773)),f147(x91771,x91774)))+P1(f775(f775(f334(f856(f851(x91771),f851(x91771))),f775(f775(f241(f851(x91771),f851(x91771)),x91772),x91773)),f300(f851(x91771),f146(x91771,x91774))))
% 184.29/184.09 [9192]P1(f775(f775(f334(f856(x91921,x91921)),f775(f775(f241(x91921,x91921),x91922),x91923)),f300(x91921,x91924)))+~P1(f775(f775(f334(f856(x91921,x91921)),f775(f775(f241(x91921,x91921),x91922),x91923)),f775(f775(f281(x91921,x91921,x91921),x91924),f300(x91921,x91924))))
% 184.29/184.09 [9261]P1(f775(f775(f279(a850),x92611),x92612))+~P1(f775(f775(f233(f857(a850,a844)),f282(a850,f279(a850),x92613,x92614)),f282(a850,f279(a850),x92611,x92612)))
% 184.29/184.09 [9373]E(f775(f775(f125(x93731),f741(x93732,x93733,x93734,x93731)),f775(f775(f140(x93731),f742(x93732,x93733,x93734,x93731)),f744(x93732,x93733,x93734,x93731))),x93734)+~P1(f775(f775(f334(f856(f851(x93731),f851(x93731))),f775(f775(f241(f851(x93731),f851(x93731)),x93734),x93733)),f146(x93731,x93732)))
% 184.29/184.09 [9374]E(f775(f775(f125(x93741),f741(x93742,x93743,x93744,x93741)),f775(f775(f140(x93741),f743(x93742,x93743,x93744,x93741)),f744(x93742,x93743,x93744,x93741))),x93743)+~P1(f775(f775(f334(f856(f851(x93741),f851(x93741))),f775(f775(f241(f851(x93741),f851(x93741)),x93744),x93743)),f146(x93741,x93742)))
% 184.29/184.09 [9447]P1(f775(f775(f334(f856(x94471,x94471)),f775(f775(f241(x94471,x94471),x94472),f655(x94473,x94474,x94472,x94471))),f300(x94471,x94473)))+~P1(f775(f775(f334(f856(x94471,x94471)),f775(f775(f241(x94471,x94471),x94472),x94474)),f775(f775(f281(x94471,x94471,x94471),x94473),f300(x94471,x94473))))
% 184.29/184.09 [9512]P1(f775(f775(f232(a850),f144(x95121,x95122,x95123)),f144(x95121,x95124,x95123)))+~P1(f775(f775(f233(a850),f775(x95122,f757(x95124,x95122,x95123,x95121))),f775(x95124,f757(x95124,x95122,x95123,x95121))))
% 184.29/184.09 [9578]P1(f775(f775(f334(f856(x95781,x95781)),f775(f775(f241(x95781,x95781),f654(x95782,x95783,x95784,x95781)),x95783)),f300(x95781,x95782)))+~P1(f775(f775(f334(f856(x95781,x95781)),f775(f775(f241(x95781,x95781),x95784),x95783)),f775(f775(f281(x95781,x95781,x95781),x95782),f300(x95781,x95782))))
% 184.29/184.09 [5100]~E(x51002,x51003)+E(f151(x51001,x51002,f775(f775(f140(x51001),x51003),x51004)),x51004)
% 184.29/184.09 [5220]P1(f775(x52202,x52203))+E(f162(x52201,x52202,f775(f775(f140(x52201),x52203),x52204)),f115(x52201))
% 184.29/184.09 [5286]~P84(x52862)+E(f775(f775(f81(f857(x52861,x52862)),x52863),x52864),f775(f81(x52862),f775(x52863,x52864)))
% 184.29/184.09 [5298]~E(x52982,f2(a850))+E(f775(f775(f128(x52981),x52982),f775(f775(f140(x52981),x52983),x52984)),f775(f775(f140(x52981),x52983),x52984))
% 184.29/184.09 [5299]P1(f775(x52992,x52993))+E(f775(f126(x52991,x52992),f775(f775(f140(x52991),x52993),x52994)),f775(f126(x52991,x52992),x52994))
% 184.29/184.09 [5432]~E(x54322,x54324)+P1(f775(f775(f775(f302(x54321),x54322),x54323),x54324))
% 184.29/184.09 [5440]E(x54401,f115(x54402))+E(f134(x54403,f775(f775(f143(x54402,x54403),x54404),x54401)),f775(x54404,f134(x54402,x54401)))
% 184.29/184.09 [5451]~E(x54511,f65(x54512,x54514))+E(f775(x54511,f775(f775(f302(x54512),x54513),f180(f857(x54512,a844)))),x54513)
% 184.29/184.09 [5486]E(x54861,f115(x54862))+E(f775(f131(x54863),f775(f775(f143(x54862,x54863),x54864),x54861)),f775(x54864,f775(f131(x54862),x54861)))
% 184.29/184.09 [5583]~P1(f775(x55833,x55834))+P1(f775(f775(f775(f302(x55831),x55832),x55833),x55834))
% 184.29/184.09 [5708]~P22(x57082,x57084,x57081)+E(f775(x57081,f775(f775(f302(x57082),x57083),f180(f857(x57082,a844)))),x57083)
% 184.29/184.09 [5733]~E(x57332,x57333)+P1(f775(f775(f334(x57331),x57332),f775(f775(f302(x57331),x57333),x57334)))
% 184.29/184.09 [5737]~P85(x57371)+E(f775(f775(f82(x57371),x57372),f775(f775(f82(x57371),x57373),x57374)),f775(f775(f82(x57371),x57373),f775(f775(f82(x57371),x57372),x57374)))
% 184.29/184.09 [5738]~P85(x57381)+E(f775(f775(f83(x57381),x57382),f775(f775(f83(x57381),x57383),x57384)),f775(f775(f83(x57381),x57383),f775(f775(f83(x57381),x57382),x57384)))
% 184.29/184.09 [5740]~P100(x57401)+E(f775(f775(f236(x57401),x57402),f775(f775(f236(x57401),x57403),x57404)),f775(f775(f236(x57401),x57403),f775(f775(f236(x57401),x57402),x57404)))
% 184.29/184.09 [5742]~P100(x57421)+E(f775(f775(f179(x57421),x57422),f775(f775(f179(x57421),x57423),x57424)),f775(f775(f179(x57421),x57423),f775(f775(f179(x57421),x57422),x57424)))
% 184.29/184.09 [5744]~P92(x57441)+E(f775(f775(f103(x57441),x57442),f775(f775(f103(x57441),x57443),x57444)),f775(f775(f103(x57441),x57443),f775(f775(f103(x57441),x57442),x57444)))
% 184.29/184.09 [5745]~P93(x57451)+E(f775(f775(f103(x57451),x57452),f775(f775(f103(x57451),x57453),x57454)),f775(f775(f103(x57451),x57453),f775(f775(f103(x57451),x57452),x57454)))
% 184.29/184.09 [5746]~P93(x57461)+E(f775(f775(f104(x57461),x57462),f775(f775(f104(x57461),x57463),x57464)),f775(f775(f104(x57461),x57463),f775(f775(f104(x57461),x57462),x57464)))
% 184.29/184.09 [5748]~P98(x57481)+E(f775(f775(f104(x57481),x57482),f775(f775(f104(x57481),x57483),x57484)),f775(f775(f104(x57481),x57483),f775(f775(f104(x57481),x57482),x57484)))
% 184.29/184.09 [5755]E(x57551,x57552)+E(f151(x57553,x57551,f775(f775(f140(x57553),x57552),x57554)),f775(f775(f140(x57553),x57552),f151(x57553,x57551,x57554)))
% 184.29/184.09 [5770]~P1(f775(x57702,x57703))+E(f775(f126(x57701,x57702),f775(f775(f140(x57701),x57703),x57704)),f775(f775(f140(x57701),x57703),f775(f126(x57701,x57702),x57704)))
% 184.29/184.09 [5901]~P1(f775(x59012,x59013))+E(f162(x59011,x59012,f775(f775(f140(x59011),x59013),x59014)),f775(f775(f140(x59011),x59013),f162(x59011,x59012,x59014)))
% 184.29/184.09 [5953]P28(x59531,x59532,x59533)+~P28(x59531,x59532,f775(f775(f302(f849(x59531)),x59534),x59533))
% 184.29/184.09 [5966]E(x59661,f180(f857(x59662,a844)))+E(f775(f775(f46(x59662,f857(x59663,a844)),x59661),f775(f18(f857(x59663,a844),x59662),x59664)),x59664)
% 184.29/184.09 [5967]E(x59671,f180(f857(x59672,a844)))+E(f775(f775(f47(x59672,f857(x59673,a844)),x59671),f775(f18(f857(x59673,a844),x59672),x59674)),x59674)
% 184.29/184.09 [5976]~E(x59764,f180(f857(x59762,a844)))+E(f775(f775(f248(x59761,x59762),x59763),f775(f18(f857(x59762,a844),x59761),x59764)),f180(f857(f856(x59761,x59762),a844)))
% 184.29/184.09 [5977]~E(x59773,f180(f857(x59771,a844)))+E(f775(f775(f248(x59771,x59772),x59773),f775(f18(f857(x59772,a844),x59771),x59774)),f180(f857(f856(x59771,x59772),a844)))
% 184.29/184.09 [6028]E(x60281,f2(a850))+E(f775(f775(f128(x60282),x60281),f775(f775(f140(x60282),x60283),x60284)),f775(f775(f128(x60282),f775(f775(f3(a850),x60281),f80(a850))),x60284))
% 184.29/184.09 [6055]E(x60551,f180(f857(x60552,a844)))+E(f775(f303(x60552,x60553,f775(f18(x60553,x60552),x60554)),x60551),f775(f775(f302(x60553),x60554),f180(f857(x60553,a844))))
% 184.29/184.09 [6058]E(f775(f305(x60581,x60582,f775(f18(x60582,x60581),x60583)),x60584),f180(f857(x60581,a844)))+P1(f775(f775(f334(x60582),x60583),x60584))
% 184.29/184.09 [6125]~E(x61253,f180(f857(x61251,a844)))+E(f775(f775(f46(x61251,f857(x61252,a844)),x61253),f775(f18(f857(x61252,a844),x61251),x61254)),f180(f857(x61252,a844)))
% 184.29/184.09 [6126]~E(x61263,f180(f857(x61261,a844)))+E(f775(f775(f47(x61261,f857(x61262,a844)),x61263),f775(f18(f857(x61262,a844),x61261),x61264)),f239(f857(x61262,a844)))
% 184.29/184.09 [6128]~P7(x61281)+E(f52(x61281,f775(f775(f83(x61281),x61282),x61283),f775(f775(f83(x61281),x61282),x61284)),f775(f775(f83(x61281),x61282),f52(x61281,x61283,x61284)))
% 184.29/184.09 [6302]E(f775(f305(x63021,x63022,f775(f18(x63022,x63021),x63023)),x63024),f239(f857(x63021,a844)))+~P1(f775(f775(f334(x63022),x63023),x63024))
% 184.29/184.09 [6325]~P1(f775(f775(f334(x63251),x63252),x63254))+P1(f775(f775(f334(x63251),x63252),f775(f775(f302(x63251),x63253),x63254)))
% 184.29/184.09 [6338]~E(x63383,f775(f775(f3(a850),f775(f181(f851(x63381)),x63382)),f80(a850)))+E(f116(x63381,f775(f775(f148(x63381,x63382),x63383),x63384)),f116(x63381,x63382))
% 184.29/184.09 [6363]~P100(x63631)+E(f775(f775(f104(f857(x63631,a844)),f775(f293(x63631),x63632)),f295(x63631,x63633,x63634)),f295(x63631,x63633,f775(f775(f236(x63631),x63632),x63634)))
% 184.29/184.09 [6364]~P100(x63641)+E(f775(f775(f104(f857(x63641,a844)),f775(f258(x63641),x63642)),f295(x63641,x63643,x63644)),f295(x63641,f775(f775(f179(x63641),x63642),x63643),x63644))
% 184.29/184.09 [6381]E(f775(f775(f104(f857(x63811,a844)),x63812),f775(f775(f302(x63811),x63813),x63814)),f775(f775(f104(f857(x63811,a844)),x63812),x63814))+P1(f775(f775(f334(x63811),x63813),x63812))
% 184.29/184.09 [6393]E(f151(x63931,x63932,f775(f775(f125(x63931),x63933),x63934)),f775(f775(f125(x63931),x63933),f151(x63931,x63932,x63934)))+P1(f775(f775(f334(x63931),x63932),f775(f158(x63931),x63933)))
% 184.29/184.09 [6398]~P75(x63981)+E(f775(f775(f83(x63981),f775(f775(f242(x63981),x63982),x63983)),f775(f775(f242(x63981),x63982),x63984)),f775(f775(f242(x63981),x63982),f775(f775(f82(a850),x63983),x63984)))
% 184.29/184.09 [6399]~P85(x63991)+E(f775(f775(f83(x63991),f775(f775(f242(x63991),x63992),x63993)),f775(f775(f242(x63991),x63992),x63994)),f775(f775(f242(x63991),x63992),f775(f775(f82(a850),x63993),x63994)))
% 184.29/184.09 [6435]~P85(x64351)+E(f775(f775(f82(x64351),f775(f775(f83(x64351),x64352),x64353)),f775(f775(f83(x64351),x64352),x64354)),f775(f775(f83(x64351),x64352),f775(f775(f82(x64351),x64353),x64354)))
% 184.29/184.09 [6436]~P100(x64361)+E(f775(f775(f179(x64361),f775(f775(f236(x64361),x64362),x64363)),f775(f775(f236(x64361),x64362),x64364)),f775(f775(f236(x64361),x64362),f775(f775(f179(x64361),x64363),x64364)))
% 184.29/184.09 [6437]~P100(x64371)+E(f775(f775(f236(x64371),f775(f775(f179(x64371),x64372),x64373)),f775(f775(f179(x64371),x64372),x64374)),f775(f775(f179(x64371),x64372),f775(f775(f236(x64371),x64373),x64374)))
% 184.29/184.09 [6438]~P97(x64381)+E(f775(f775(f104(x64381),f775(f775(f103(x64381),x64382),x64383)),f775(f775(f103(x64381),x64382),x64384)),f775(f775(f103(x64381),x64382),f775(f775(f104(x64381),x64383),x64384)))
% 184.29/184.09 [6439]~P97(x64391)+E(f775(f775(f103(x64391),f775(f775(f104(x64391),x64392),x64393)),f775(f775(f104(x64391),x64392),x64394)),f775(f775(f104(x64391),x64392),f775(f775(f103(x64391),x64393),x64394)))
% 184.29/184.09 [6476]~P7(x64761)+E(f52(x64761,f775(f775(f83(x64761),x64762),x64763),f775(f775(f83(x64761),x64764),x64763)),f775(f775(f83(x64761),f52(x64761,x64762,x64764)),x64763))
% 184.29/184.09 [6479]~E(f775(f181(f851(x64791)),x64793),f775(f181(f851(x64792)),x64794))+E(f775(f775(f143(f856(x64791,x64792),x64792),f250(x64791,x64792)),f775(f775(f167(x64791,x64792),x64793),x64794)),x64794)
% 184.29/184.09 [6480]~E(f775(f181(f851(x64801)),x64803),f775(f181(f851(x64802)),x64804))+E(f775(f775(f143(f856(x64801,x64802),x64801),f240(x64801,x64802)),f775(f775(f167(x64801,x64802),x64803),x64804)),x64803)
% 184.29/184.09 [6491]~P7(x64911)+E(f52(x64911,f775(f775(f83(x64911),x64912),f52(x64911,x64913,x64914)),x64914),f52(x64911,f775(f775(f83(x64911),x64912),x64913),x64914))
% 184.29/184.09 [6492]~P8(x64921)+E(f52(x64921,f775(f775(f3(x64921),x64922),f52(x64921,x64923,x64924)),x64924),f52(x64921,f775(f775(f3(x64921),x64922),x64923),x64924))
% 184.29/184.09 [6493]~P7(x64931)+E(f52(x64931,f775(f775(f82(x64931),x64932),f52(x64931,x64933,x64934)),x64934),f52(x64931,f775(f775(f82(x64931),x64932),x64933),x64934))
% 184.29/184.09 [6576]~P100(x65761)+E(f775(f775(f104(f857(x65761,a844)),f295(x65761,x65762,x65763)),f775(f293(x65761),x65764)),f295(x65761,x65762,f775(f775(f236(x65761),x65763),x65764)))
% 184.29/184.09 [6577]~P100(x65771)+E(f775(f775(f104(f857(x65771,a844)),f295(x65771,x65772,x65773)),f775(f258(x65771),x65774)),f295(x65771,f775(f775(f179(x65771),x65772),x65774),x65773))
% 184.29/184.09 [6581]~E(f775(f181(f851(x65811)),x65813),f775(f181(f851(x65812)),x65814))+E(f775(f775(f167(x65811,x65812),f775(f142(x65811),x65813)),f775(f142(x65812),x65814)),f775(f142(f856(x65811,x65812)),f775(f775(f167(x65811,x65812),x65813),x65814)))
% 184.29/184.09 [6590]E(x65901,f775(f775(f3(a850),f775(f181(f851(x65902)),x65903)),f80(a850)))+E(f116(x65902,f775(f775(f148(x65902,x65903),x65901),x65904)),f775(f775(f148(x65902,f116(x65902,x65903)),x65901),x65904))
% 184.29/184.09 [6607]~P1(f775(f127(x66072),x66074))+P1(f775(f127(f856(x66071,x66072)),f775(f775(f167(x66071,x66072),x66073),x66074)))
% 184.29/184.09 [6608]~P1(f775(f127(x66081),x66083))+P1(f775(f127(f856(x66081,x66082)),f775(f775(f167(x66081,x66082),x66083),x66084)))
% 184.29/184.09 [6708]E(x67081,f775(f775(f775(a189,x67082),x67083),f775(x67084,x67082)))+~P1(f775(f775(f187(f28(x67083,x67084)),x67082),x67081))
% 184.29/184.09 [6889]E(f775(f775(f43(a850),x68891),x68892),x68893)+~P1(f775(f55(x68891,x68892),f775(f775(f241(a850,a850),x68893),x68894)))
% 184.29/184.09 [6915]E(f52(a850,x69151,x69152),x69153)+~P1(f775(f55(x69151,x69152),f775(f775(f241(a850,a850),x69154),x69153)))
% 184.29/184.09 [6918]P1(f775(f127(x69181),x69182))+~P1(f775(f127(x69183),f775(f775(f143(x69181,x69183),x69184),x69182)))
% 184.29/184.09 [6926]~P28(x69261,x69262,f775(f775(f302(f849(x69261)),x69263),x69264))+P28(x69261,x69262,f775(f775(f302(f849(x69261)),x69263),f180(f857(f849(x69261),a844))))
% 184.29/184.09 [6999]E(f151(x69991,x69992,f775(f775(f125(x69991),x69993),x69994)),f775(f775(f125(x69991),f151(x69991,x69992,x69993)),x69994))+~P1(f775(f775(f334(x69991),x69992),f775(f158(x69991),x69993)))
% 184.29/184.09 [7096]~P8(x70961)+E(f52(x70961,f775(f775(f3(x70961),f52(x70961,x70962,x70963)),x70964),x70963),f52(x70961,f775(f775(f3(x70961),x70962),x70964),x70963))
% 184.29/184.09 [7097]~P7(x70971)+E(f52(x70971,f775(f775(f82(x70971),f52(x70971,x70972,x70973)),x70974),x70973),f52(x70971,f775(f775(f82(x70971),x70972),x70974),x70973))
% 184.29/184.09 [7098]~P7(x70981)+E(f52(x70981,f775(f775(f83(x70981),f52(x70981,x70982,x70983)),x70984),x70983),f52(x70981,f775(f775(f83(x70981),x70982),x70984),x70983))
% 184.29/184.09 [7304]~E(x73041,f775(f775(f140(x73042),x73043),x73044))+~P1(f775(f775(f232(a850),f775(f181(f851(x73042)),x73041)),f775(f181(f851(x73042)),x73044)))
% 184.29/184.09 [7476]~E(f166(x74761,x74762,x74763),f166(x74761,x74762,x74764))+E(f775(f303(f856(x74761,x74762),x74761,f240(x74761,x74762)),f775(f158(f856(x74761,x74762)),x74763)),f775(f303(f856(x74761,x74762),x74761,f240(x74761,x74762)),f775(f158(f856(x74761,x74762)),x74764)))
% 184.29/184.09 [7519]P29(x75191,x75192,x75193,f775(f158(x75191),x75194))+~P1(f775(f127(x75192),f775(f775(f143(x75191,x75192),x75193),x75194)))
% 184.29/184.09 [7596]~P1(f775(f775(f232(f857(x75961,a844)),x75962),x75964))+P1(f775(f775(f232(f857(x75961,a844)),x75962),f775(f775(f302(x75961),x75963),x75964)))
% 184.29/184.09 [7631]~P7(x76311)+E(f52(x76311,f775(f775(f82(x76311),f52(x76311,x76312,x76313)),f52(x76311,x76314,x76313)),x76313),f52(x76311,f775(f775(f82(x76311),x76312),x76314),x76313))
% 184.29/184.09 [7632]~P7(x76321)+E(f52(x76321,f775(f775(f83(x76321),f52(x76321,x76322,x76323)),f52(x76321,x76324,x76323)),x76323),f52(x76321,f775(f775(f83(x76321),x76322),x76324),x76323))
% 184.29/184.09 [7633]~P8(x76331)+E(f52(x76331,f775(f775(f3(x76331),f52(x76331,x76332,x76333)),f52(x76331,x76334,x76333)),x76333),f52(x76331,f775(f775(f3(x76331),x76332),x76334),x76333))
% 184.29/184.09 [7734]~E(f775(x77344,f651(x77344,x77343,x77341,x77342)),f239(f857(x77342,a844)))+E(f775(f775(f47(x77341,f857(x77342,a844)),x77343),x77344),f239(f857(x77342,a844)))
% 184.29/184.09 [7735]~E(f775(x77354,f410(x77354,x77353,x77351,x77352)),f180(f857(x77352,a844)))+E(f775(f775(f46(x77351,f857(x77352,a844)),x77353),x77354),f180(f857(x77352,a844)))
% 184.29/184.09 [7736]~E(f775(x77364,f411(x77364,x77363,x77362,x77361)),f180(f857(x77362,a844)))+E(f775(f775(f46(x77361,f857(x77362,a844)),x77363),x77364),f180(f857(x77362,a844)))
% 184.29/184.09 [7737]~E(f775(x77374,f652(x77374,x77373,x77372,x77371)),f239(f857(x77372,a844)))+E(f775(f775(f47(x77371,f857(x77372,a844)),x77373),x77374),f239(f857(x77372,a844)))
% 184.29/184.09 [8128]P1(f775(x81281,x81282))+~P1(f775(f775(f334(x81283),x81282),f775(f775(f104(f857(x81283,a844)),x81284),f775(f256(x81283),x81281))))
% 184.29/184.09 [8167]~P1(f775(f775(f232(f857(x81671,a844)),x81673),x81674))+P1(f775(f775(f232(f857(x81671,a844)),f775(f775(f302(x81671),x81672),x81673)),f775(f775(f302(x81671),x81672),x81674)))
% 184.29/184.09 [8334]P1(f775(f775(f187(x83341),x83342),f435(x83343,x83342,x83344,x83341)))+~P1(f775(f775(f187(f36(x83341,x83344)),x83342),x83343))
% 184.29/184.09 [8335]P1(f775(f775(f187(x83351),x83352),f461(x83353,x83352,x83354,x83351)))+~P1(f775(f775(f187(f36(x83351,x83354)),x83352),x83353))
% 184.29/184.09 [8456]~P1(f775(f775(f233(a850),f775(x84564,x84562)),f775(x84564,x84563)))+P1(f775(f775(f334(f856(x84561,x84561)),f775(f775(f241(x84561,x84561),x84562),x84563)),f775(f775(f280(a850,x84561),a237),x84564)))
% 184.29/184.09 [8603]P29(f851(x86031),f851(x86032),f775(f143(x86031,x86032),x86033),x86034)+~P29(x86031,x86032,x86033,f44(f857(x86031,a844),f775(f303(f851(x86031),f857(x86031,a844),f158(x86031)),x86034)))
% 184.29/184.09 [8713]E(f775(f775(f47(x87131,f857(x87132,a844)),x87133),x87134),f239(f857(x87132,a844)))+P1(f775(f775(f334(x87131),f651(x87134,x87133,x87131,x87132)),x87133))
% 184.29/184.09 [8714]E(f775(f775(f46(x87141,f857(x87142,a844)),x87143),x87144),f180(f857(x87142,a844)))+P1(f775(f775(f334(x87141),f410(x87144,x87143,x87141,x87142)),x87143))
% 184.29/184.09 [8715]E(f775(f775(f46(x87151,f857(x87152,a844)),x87153),x87154),f180(f857(x87152,a844)))+P1(f775(f775(f334(x87151),f411(x87154,x87153,x87152,x87151)),x87153))
% 184.29/184.09 [8716]E(f775(f775(f47(x87161,f857(x87162,a844)),x87163),x87164),f239(f857(x87162,a844)))+P1(f775(f775(f334(x87161),f652(x87164,x87163,x87162,x87161)),x87163))
% 184.29/184.09 [8751]P1(f775(f775(f233(a850),f775(x87511,x87512)),f775(x87511,x87513)))+~P1(f775(f775(f334(f856(x87514,x87514)),f775(f775(f241(x87514,x87514),x87512),x87513)),f775(f775(f280(a850,x87514),a237),x87511)))
% 184.29/184.09 [8800]P1(f775(f775(f187(x88001),f435(x88002,x88003,x88001,x88004)),x88002))+~P1(f775(f775(f187(f36(x88004,x88001)),x88003),x88002))
% 184.29/184.09 [8801]P1(f775(f775(f187(x88011),f461(x88012,x88013,x88011,x88014)),x88012))+~P1(f775(f775(f187(f36(x88014,x88011)),x88013),x88012))
% 184.29/184.09 [8912]P1(f775(f775(f334(x89121),f494(x89122,x89123,x89124,x89121)),x89123))+~P1(f775(f775(f334(f857(x89121,a844)),x89124),f775(f775(f61(x89121),x89123),x89122)))
% 184.29/184.09 [8915]E(x89151,x89152)+~P1(f775(f775(f334(f856(x89153,x89153)),f775(f775(f241(x89153,x89153),x89151),x89152)),f775(f775(f173(f856(x89153,x89153),a844),f2(a850)),x89154)))
% 184.29/184.09 [8987]E(f775(f277(x89871,x89871,x89872),f775(f775(f302(x89871),f494(x89872,x89873,x89874,x89871)),f180(f857(x89871,a844)))),x89874)+~P1(f775(f775(f334(f857(x89871,a844)),x89874),f775(f775(f61(x89871),x89873),x89872)))
% 184.29/184.09 [8998]~P1(f775(f775(f334(f856(x89981,x89981)),f775(f775(f241(x89981,x89981),x89983),x89982)),f300(x89981,x89984)))+P1(f775(f775(f334(f856(x89981,x89981)),f775(f775(f241(x89981,x89981),x89982),x89983)),f300(x89981,f775(f278(x89981,x89981),x89984))))
% 184.29/184.09 [9011]~P7(x90111)+E(f775(f775(f82(x90111),f775(f775(f82(x90111),f775(f775(f83(x90111),x90112),f775(f775(f43(x90111),x90113),x90112))),f52(x90111,x90113,x90112))),x90114),f775(f775(f82(x90111),x90113),x90114))
% 184.29/184.09 [9018]~P1(f775(f775(f334(x90181),x90183),x90184))+P1(f775(f775(f334(f857(x90181,a844)),f775(f277(x90181,x90181,x90182),f775(f775(f302(x90181),x90183),f180(f857(x90181,a844))))),f775(f775(f61(x90181),x90184),x90182)))
% 184.29/184.09 [9028]P1(f775(f775(f334(f856(x90281,x90281)),f775(f775(f241(x90281,x90281),x90282),x90283)),f300(x90281,x90284)))+~P1(f775(f775(f334(f856(x90281,x90281)),f775(f775(f241(x90281,x90281),x90283),x90282)),f300(x90281,f775(f278(x90281,x90281),x90284))))
% 184.29/184.09 [9111]E(f775(f775(f148(x91111,f775(f142(x91111),x91112)),f775(f775(f3(a850),f775(f775(f3(a850),f775(f181(f851(x91111)),x91112)),x91113)),f80(a850))),x91114),f775(f142(x91111),f775(f775(f148(x91111,x91112),x91113),x91114)))+~P1(f775(f775(f233(a850),x91113),f775(f181(f851(x91111)),x91112)))
% 184.29/184.09 [9148]~P29(x91482,x91481,x91483,f239(f857(x91482,a844)))+P1(f775(f775(f232(f857(x91481,a844)),f775(f303(x91482,x91481,x91483),f775(f81(f857(x91482,a844)),x91484))),f775(f81(f857(x91481,a844)),f775(f303(x91482,x91481,x91483),x91484))))
% 184.29/184.09 [9156]~P9(x91561)+E(f775(f132(x91561,x91562,f775(f9(x91562,x91561,x91561),f775(f775(f10(x91561,f857(x91561,x91561),x91562),f103(x91561)),x91563)),f180(x91561)),x91564),f775(f775(f46(x91562,x91561),f775(f158(x91562),x91564)),x91563))
% 184.29/184.09 [9157]~P9(x91571)+E(f775(f132(x91571,x91572,f775(f9(x91572,x91571,x91571),f775(f775(f10(x91571,f857(x91571,x91571),x91572),f104(x91571)),x91573)),f239(x91571)),x91574),f775(f775(f47(x91572,x91571),f775(f158(x91572),x91574)),x91573))
% 184.29/184.09 [9223]~P1(f775(f775(f334(f856(f851(x92234),f851(x92234))),f775(f775(f241(f851(x92234),f851(x92234)),x92233),x92232)),f146(x92234,x92231)))+P1(f775(f775(f233(a850),f737(x92231,x92232,x92233,x92234)),f775(f181(f851(x92234)),x92233)))
% 184.29/184.09 [9224]~P7(x92241)+E(f775(f775(f82(x92241),f775(f775(f82(x92241),f775(f775(f83(x92241),f775(f775(f43(x92241),x92242),x92243)),x92243)),f52(x92241,x92242,x92243))),x92244),f775(f775(f82(x92241),x92242),x92244))
% 184.29/184.09 [9253]~P1(f775(f775(f334(f856(f851(x92531),f851(x92531))),f775(f775(f241(f851(x92531),f851(x92531)),x92532),x92533)),f775(f278(f851(x92531),f851(x92531)),f146(x92531,x92534))))+P1(f775(f775(f334(f856(f851(x92531),f851(x92531))),f775(f775(f241(f851(x92531),f851(x92531)),x92532),x92533)),f146(x92531,f775(f278(x92531,x92531),x92534))))
% 184.29/184.09 [9254]P1(f775(f775(f334(f856(f851(x92541),f851(x92541))),f775(f775(f241(f851(x92541),f851(x92541)),x92542),x92543)),f775(f278(f851(x92541),f851(x92541)),f146(x92541,x92544))))+~P1(f775(f775(f334(f856(f851(x92541),f851(x92541))),f775(f775(f241(f851(x92541),f851(x92541)),x92542),x92543)),f146(x92541,f775(f278(x92541,x92541),x92544))))
% 184.29/184.09 [9291]~P1(f775(f775(f334(x92911),x92913),f775(f261(x92911,x92912),x92914)))+P1(f775(f775(f334(f856(x92911,x92912)),f775(f775(f241(x92911,x92912),x92913),f597(x92914,x92912,x92913,x92911))),x92914))
% 184.29/184.09 [9292]~P1(f775(f775(f334(x92921),x92923),f775(f261(x92921,x92922),x92924)))+P1(f775(f775(f334(f856(x92921,x92922)),f775(f775(f241(x92921,x92922),x92923),f598(x92924,x92922,x92923,x92921))),x92924))
% 184.29/184.09 [9418]~P1(f775(f63(f854(x94181)),f775(f303(x94182,f854(x94181),x94183),f239(f857(x94182,a844)))))+P1(f775(f63(f854(x94181)),f775(f303(x94182,f854(x94181),f170(x94182,x94181,x94183,f166(x94182,x94181,x94184))),f239(f857(x94182,a844)))))
% 184.29/184.09 [9442]~P1(f775(f775(f334(f856(x94421,x94421)),f775(f775(f241(x94421,x94421),x94422),x94424)),f775(f775(f281(x94421,x94421,x94421),x94423),f300(x94421,x94423))))+P1(f775(f775(f334(f856(x94421,x94421)),f775(f775(f241(x94421,x94421),x94422),f654(x94423,x94424,x94422,x94421))),x94423))
% 184.29/184.09 [9600]~P1(f775(f775(f334(f856(x96002,x96001)),x96004),f775(f278(x96001,x96002),x96003)))+P1(f775(f775(f334(f856(x96001,x96002)),f775(f775(f241(x96001,x96002),f701(x96003,x96004,x96001,x96002)),f700(x96003,x96004,x96001,x96002))),x96003))
% 184.29/184.09 [9624]~P1(f775(f775(f334(f856(f851(x96241),f851(x96241))),f775(f775(f241(f851(x96241),f851(x96241)),x96244),x96243)),f146(x96241,x96242)))+P1(f775(f775(f334(f856(x96241,x96241)),f775(f775(f241(x96241,x96241),f742(x96242,x96243,x96244,x96241)),f743(x96242,x96243,x96244,x96241))),x96242))
% 184.29/184.09 [9700]~P1(f775(f775(f334(f856(f851(x97001),f851(x97001))),f775(f775(f241(f851(x97001),f851(x97001)),x97002),x97004)),f146(x97001,x97003)))+P1(f775(f775(f334(f856(x97001,x97001)),f775(f775(f241(x97001,x97001),f775(f775(f153(x97001),x97002),f737(x97003,x97004,x97002,x97001))),f738(x97003,x97004,x97002,x97001))),x97003))
% 184.29/184.09 [9721]~P1(f775(f63(x97212),x97214))+E(f775(f775(f775(f67(f857(x97211,a844),x97212,f103(f857(x97211,a844))),f775(f775(f9(x97212,f857(x97211,a844),f857(x97211,a844)),f775(f775(f10(x97211,f857(f857(x97211,a844),f857(x97211,a844)),x97212),f302(x97211)),x97213)),f180(f857(x97211,a844)))),f180(f857(x97211,a844))),x97214),f775(f303(x97212,x97211,x97213),x97214))
% 184.29/184.09 [9837]~P29(x98371,x98372,x98373,f239(f857(x98371,a844)))+P1(f775(f775(f232(f857(x98371,a844)),f775(f305(x98371,x98372,x98373),f775(f775(f302(x98372),x98374),f180(f857(x98372,a844))))),f775(f775(f302(x98371),f87(x98371,f775(f775(f9(x98371,x98372,a844),f775(f775(f10(x98372,f857(x98372,a844),x98371),a330),x98373)),x98374))),f180(f857(x98371,a844)))))
% 184.29/184.09 [5495]~E(f775(f775(f125(x54951),x54952),x54954),x54953)+E(f775(f775(f159(x54951),f775(f181(f851(x54951)),x54952)),x54953),x54952)
% 184.29/184.09 [5496]~E(f775(f775(f125(x54962),x54963),x54961),x54964)+E(x54961,f775(f775(f128(x54962),f775(f181(f851(x54962)),x54963)),x54964))
% 184.29/184.09 [5507]~E(x55074,f2(a850))+E(f775(f775(f153(x55071),f775(f775(f140(x55071),x55072),x55073)),x55074),x55072)
% 184.29/184.09 [6039]~P85(x60391)+E(f775(f775(f242(x60391),f775(f775(f242(x60391),x60392),x60393)),x60394),f775(f775(f242(x60391),x60392),f775(f775(f83(a850),x60393),x60394)))
% 184.29/184.09 [6040]~P75(x60401)+E(f775(f775(f242(x60401),f775(f775(f242(x60401),x60402),x60403)),x60404),f775(f775(f242(x60401),x60402),f775(f775(f83(a850),x60403),x60404)))
% 184.29/184.09 [6056]E(x60561,f2(a850))+E(f775(f775(f153(x60562),f775(f775(f140(x60562),x60563),x60564)),x60561),f775(f775(f153(x60562),x60564),f775(f775(f3(a850),x60561),f80(a850))))
% 184.29/184.09 [6082]~P113(x60821)+E(f775(f775(f283(x60821),f775(f775(f83(x60821),x60822),x60823)),x60824),f775(f775(f83(x60821),x60822),f775(f775(f283(x60821),x60823),x60824)))
% 184.29/184.09 [6083]~P5(x60831)+E(f775(f775(f82(x60831),f775(f775(f82(x60831),x60832),x60833)),x60834),f775(f775(f82(x60831),x60832),f775(f775(f82(x60831),x60833),x60834)))
% 184.29/184.09 [6084]~P85(x60841)+E(f775(f775(f82(x60841),f775(f775(f82(x60841),x60842),x60843)),x60844),f775(f775(f82(x60841),x60842),f775(f775(f82(x60841),x60843),x60844)))
% 184.29/184.09 [6085]~P85(x60851)+E(f775(f775(f83(x60851),f775(f775(f83(x60851),x60852),x60853)),x60854),f775(f775(f83(x60851),x60852),f775(f775(f83(x60851),x60853),x60854)))
% 184.29/184.09 [6086]~P64(x60861)+E(f775(f775(f83(x60861),f775(f775(f83(x60861),x60862),x60863)),x60864),f775(f775(f83(x60861),x60862),f775(f775(f83(x60861),x60863),x60864)))
% 184.29/184.09 [6089]~P100(x60891)+E(f775(f775(f236(x60891),f775(f775(f236(x60891),x60892),x60893)),x60894),f775(f775(f236(x60891),x60892),f775(f775(f236(x60891),x60893),x60894)))
% 184.29/184.09 [6091]~P100(x60911)+E(f775(f775(f179(x60911),f775(f775(f179(x60911),x60912),x60913)),x60914),f775(f775(f179(x60911),x60912),f775(f775(f179(x60911),x60913),x60914)))
% 184.29/184.09 [6093]~P92(x60931)+E(f775(f775(f103(x60931),f775(f775(f103(x60931),x60932),x60933)),x60934),f775(f775(f103(x60931),x60932),f775(f775(f103(x60931),x60933),x60934)))
% 184.29/184.09 [6094]~P93(x60941)+E(f775(f775(f103(x60941),f775(f775(f103(x60941),x60942),x60943)),x60944),f775(f775(f103(x60941),x60942),f775(f775(f103(x60941),x60943),x60944)))
% 184.29/184.09 [6095]~P93(x60951)+E(f775(f775(f104(x60951),f775(f775(f104(x60951),x60952),x60953)),x60954),f775(f775(f104(x60951),x60952),f775(f775(f104(x60951),x60953),x60954)))
% 184.29/184.09 [6097]~P98(x60971)+E(f775(f775(f104(x60971),f775(f775(f104(x60971),x60972),x60973)),x60974),f775(f775(f104(x60971),x60972),f775(f775(f104(x60971),x60973),x60974)))
% 184.29/184.09 [6108]~P7(x61081)+E(f52(x61081,f775(f775(f82(x61081),x61082),f775(f775(f83(x61081),x61083),x61084)),x61084),f52(x61081,x61082,x61084))
% 184.29/184.09 [6109]~P7(x61091)+E(f52(x61091,f775(f775(f82(x61091),x61092),f775(f775(f83(x61091),x61093),x61094)),x61093),f52(x61091,x61092,x61093))
% 184.29/184.09 [6247]E(f775(f775(f153(x62471),f775(f775(f159(x62471),x62472),x62473)),x62474),f775(f775(f153(x62471),x62473),x62474))+~P1(f775(f775(f233(a850),x62474),x62472))
% 184.29/184.09 [6433]~P85(x64331)+E(f775(f775(f82(x64331),f775(f775(f82(x64331),x64332),x64333)),x64334),f775(f775(f82(x64331),f775(f775(f82(x64331),x64332),x64334)),x64333))
% 184.29/184.09 [6434]~P85(x64341)+E(f775(f775(f83(x64341),f775(f775(f83(x64341),x64342),x64343)),x64344),f775(f775(f83(x64341),f775(f775(f83(x64341),x64342),x64344)),x64343))
% 184.29/184.09 [6496]~P2(x64962)+E(f775(f775(f8(x64961,x64962),f775(f18(x64962,x64961),x64963)),x64964),f775(f775(f83(x64962),f775(f102(x64962),f775(f42(x64961),x64964))),x64963))
% 184.29/184.09 [6676]E(f775(f775(f104(f857(x66761,a844)),f775(f775(f302(x66761),x66762),x66763)),x66764),f775(f775(f104(f857(x66761,a844)),x66763),x66764))+P1(f775(f775(f334(x66761),x66762),x66764))
% 184.29/184.09 [6752]~P74(x67521)+E(f775(f775(f236(x67521),f775(f775(f82(x67521),x67522),x67523)),f775(f775(f82(x67521),x67524),x67523)),f775(f775(f82(x67521),f775(f775(f236(x67521),x67522),x67524)),x67523))
% 184.29/184.09 [6753]~P74(x67531)+E(f775(f775(f179(x67531),f775(f775(f82(x67531),x67532),x67533)),f775(f775(f82(x67531),x67534),x67533)),f775(f775(f82(x67531),f775(f775(f179(x67531),x67532),x67534)),x67533))
% 184.29/184.09 [6755]~P109(x67551)+E(f775(f775(f82(x67551),f775(f775(f83(x67551),x67552),x67553)),f775(f775(f83(x67551),x67554),x67553)),f775(f775(f83(x67551),f775(f775(f82(x67551),x67552),x67554)),x67553))
% 184.29/184.09 [6756]~P77(x67561)+E(f775(f775(f236(x67561),f775(f775(f3(x67561),x67562),x67563)),f775(f775(f3(x67561),x67564),x67563)),f775(f775(f3(x67561),f775(f775(f236(x67561),x67562),x67564)),x67563))
% 184.29/184.09 [6757]~P77(x67571)+E(f775(f775(f179(x67571),f775(f775(f3(x67571),x67572),x67573)),f775(f775(f3(x67571),x67574),x67573)),f775(f775(f3(x67571),f775(f775(f179(x67571),x67572),x67574)),x67573))
% 184.29/184.09 [6758]~P85(x67581)+E(f775(f775(f83(x67581),f775(f775(f242(x67581),x67582),x67583)),f775(f775(f242(x67581),x67584),x67583)),f775(f775(f242(x67581),f775(f775(f83(x67581),x67582),x67584)),x67583))
% 184.29/184.09 [6759]~P70(x67591)+E(f775(f775(f83(x67591),f775(f775(f242(x67591),x67592),x67593)),f775(f775(f242(x67591),x67594),x67593)),f775(f775(f242(x67591),f775(f775(f83(x67591),x67592),x67594)),x67593))
% 184.29/184.09 [6760]~P60(x67601)+E(f775(f775(f283(x67601),f775(f775(f242(x67601),x67602),x67603)),f775(f775(f242(x67601),x67604),x67603)),f775(f775(f242(x67601),f775(f775(f283(x67601),x67602),x67604)),x67603))
% 184.29/184.09 [6761]~P113(x67611)+E(f775(f775(f82(x67611),f775(f775(f283(x67611),x67612),x67613)),f775(f775(f283(x67611),x67614),x67613)),f775(f775(f283(x67611),f775(f775(f82(x67611),x67612),x67614)),x67613))
% 184.29/184.09 [6762]~P113(x67621)+E(f775(f775(f3(x67621),f775(f775(f283(x67621),x67622),x67623)),f775(f775(f283(x67621),x67624),x67623)),f775(f775(f283(x67621),f775(f775(f3(x67621),x67622),x67624)),x67623))
% 184.29/184.09 [6763]~P100(x67631)+E(f775(f775(f179(x67631),f775(f775(f236(x67631),x67632),x67633)),f775(f775(f236(x67631),x67634),x67633)),f775(f775(f236(x67631),f775(f775(f179(x67631),x67632),x67634)),x67633))
% 184.29/184.09 [6764]~P100(x67641)+E(f775(f775(f236(x67641),f775(f775(f179(x67641),x67642),x67643)),f775(f775(f179(x67641),x67644),x67643)),f775(f775(f179(x67641),f775(f775(f236(x67641),x67642),x67644)),x67643))
% 184.29/184.09 [6765]~P97(x67651)+E(f775(f775(f104(x67651),f775(f775(f103(x67651),x67652),x67653)),f775(f775(f103(x67651),x67654),x67653)),f775(f775(f103(x67651),f775(f775(f104(x67651),x67652),x67654)),x67653))
% 184.29/184.09 [6766]~P97(x67661)+E(f775(f775(f103(x67661),f775(f775(f104(x67661),x67662),x67663)),f775(f775(f104(x67661),x67664),x67663)),f775(f775(f104(x67661),f775(f775(f103(x67661),x67662),x67664)),x67663))
% 184.29/184.09 [6767]~P85(x67671)+E(f775(f775(f82(x67671),f775(f775(f83(x67671),x67672),x67673)),f775(f775(f83(x67671),x67674),x67673)),f775(f775(f83(x67671),f775(f775(f82(x67671),x67672),x67674)),x67673))
% 184.29/184.09 [6802]E(f775(f775(f148(x68021,x68022),x68023),x68024),x68022)+~P1(f775(f775(f232(a850),f775(f181(f851(x68021)),x68022)),x68023))
% 184.29/184.09 [6829]~P1(f775(x68293,x68294))+P1(f775(f775(f775(f103(f857(x68291,a844)),x68292),x68293),x68294))
% 184.29/184.09 [6831]~P1(f775(x68312,x68314))+P1(f775(f775(f775(f103(f857(x68311,a844)),x68312),x68313),x68314))
% 184.29/184.09 [6853]E(f775(f775(f153(x68531),f775(f775(f125(x68531),x68532),x68533)),x68534),f775(f775(f153(x68531),x68532),x68534))+~P1(f775(f775(f233(a850),x68534),f775(f181(f851(x68531)),x68532)))
% 184.29/184.09 [6863]E(f775(f775(f3(f857(x68631,a844)),f775(f775(f302(x68631),x68632),x68633)),x68634),f775(f775(f3(f857(x68631,a844)),x68633),x68634))+~P1(f775(f775(f334(x68631),x68632),x68634))
% 184.29/184.09 [6904]~E(f130(a850,f775(f294(a850,x69041),x69042)),f775(f775(f140(a850),x69044),x69043))+E(f130(a850,f775(f294(a850,f775(f775(f82(a850),x69041),f80(a850))),x69042)),x69043)
% 184.29/184.09 [6974]E(x69741,f2(a850))+E(f775(f775(f140(x69742),x69743),f775(f775(f159(x69742),f775(f775(f3(a850),x69741),f80(a850))),x69744)),f775(f775(f159(x69742),x69741),f775(f775(f140(x69742),x69743),x69744)))
% 184.29/184.09 [7079]E(f775(f775(f153(x70791),x70792),f775(f775(f3(a850),x70793),f775(f181(f851(x70791)),x70794))),f775(f775(f153(x70791),f775(f775(f125(x70791),x70794),x70792)),x70793))+P1(f775(f775(f233(a850),x70793),f775(f181(f851(x70791)),x70794)))
% 184.29/184.09 [7107]E(f775(f775(f104(f857(x71071,a844)),x71072),f775(f775(f302(x71071),x71073),x71074)),f775(f775(f302(x71071),x71073),f775(f775(f104(f857(x71071,a844)),x71072),x71074)))+~P1(f775(f775(f334(x71071),x71073),x71072))
% 184.29/184.09 [7141]E(f775(f775(f153(x71411),f775(f775(f148(x71411,x71412),x71413),x71414)),x71413),x71414)+~P1(f775(f775(f233(a850),x71413),f775(f181(f851(x71411)),x71412)))
% 184.29/184.09 [7162]E(x71621,f180(f857(x71622,a844)))+E(f775(f303(f856(x71623,x71622),x71623,f240(x71623,x71622)),f775(f775(f248(x71623,x71622),x71624),f775(f18(f857(x71622,a844),x71623),x71621))),x71624)
% 184.29/184.09 [7163]E(x71631,f180(f857(x71632,a844)))+E(f775(f303(f856(x71632,x71633),x71633,f250(x71632,x71633)),f775(f775(f248(x71632,x71633),x71631),f775(f18(f857(x71633,a844),x71632),x71634))),x71634)
% 184.29/184.09 [7247]E(f775(f775(f3(f857(x72471,a844)),f775(f775(f302(x72471),x72472),x72473)),x72474),f775(f775(f302(x72471),x72472),f775(f775(f3(f857(x72471,a844)),x72473),x72474)))+P1(f775(f775(f334(x72471),x72472),x72474))
% 184.29/184.09 [7288]~E(x72884,f180(f857(x72882,a844)))+E(f775(f303(f856(x72881,x72882),x72881,f240(x72881,x72882)),f775(f775(f248(x72881,x72882),x72883),f775(f18(f857(x72882,a844),x72881),x72884))),f180(f857(x72881,a844)))
% 184.29/184.09 [7289]~E(x72893,f180(f857(x72891,a844)))+E(f775(f303(f856(x72891,x72892),x72892,f250(x72891,x72892)),f775(f775(f248(x72891,x72892),x72893),f775(f18(f857(x72892,a844),x72891),x72894))),f180(f857(x72892,a844)))
% 184.29/184.09 [7348]~P1(f775(f775(f334(x73481),x73482),x73484))+P1(f775(f775(f334(x73481),x73482),f775(f775(f103(f857(x73481,a844)),x73483),x73484)))
% 184.29/184.09 [7351]~P1(f775(f775(f334(x73511),x73512),x73513))+P1(f775(f775(f334(x73511),x73512),f775(f775(f103(f857(x73511,a844)),x73513),x73514)))
% 184.29/184.09 [7373]E(f775(f775(f104(f857(x73731,a844)),f775(f775(f302(x73731),x73732),x73733)),x73734),f775(f775(f302(x73731),x73732),f775(f775(f104(f857(x73731,a844)),x73733),x73734)))+~P1(f775(f775(f334(x73731),x73732),x73734))
% 184.29/184.09 [7652]P1(f775(x76521,x76522))+~P1(f775(f775(f775(f104(f857(x76523,a844)),x76524),x76521),x76522))
% 184.29/184.09 [7653]P1(f775(x76531,x76532))+~P1(f775(f775(f775(f104(f857(x76533,a844)),x76531),x76534),x76532))
% 184.29/184.09 [7656]E(f775(f775(f8(x76561,a850),x76562),f775(f775(f3(f857(x76561,a844)),x76563),f775(f775(f302(x76561),x76564),f180(f857(x76561,a844))))),f775(f775(f8(x76561,a850),x76562),x76563))+P1(f775(f775(f334(x76561),x76564),x76563))
% 184.29/184.09 [7662]~P66(x76621)+E(f775(f155(x76621),f775(f775(f143(a850,x76621),x76622),f130(a850,f775(f294(a850,x76623),x76624)))),f775(f775(f8(a850,x76621),x76622),f775(f158(a850),f130(a850,f775(f294(a850,x76623),x76624)))))
% 184.29/184.09 [7663]~P66(x76631)+E(f775(f775(f8(a850,x76631),x76632),f775(f158(a850),f130(a850,f775(f294(a850,x76633),x76634)))),f775(f155(x76631),f775(f775(f143(a850,x76631),x76632),f130(a850,f775(f294(a850,x76633),x76634)))))
% 184.29/184.09 [7777]~E(x77773,x77774)+P1(f775(f64(x77771,x77772,f775(f775(f302(x77771),x77773),f180(f857(x77771,a844)))),x77774))
% 184.29/184.09 [7873]P1(f775(f775(f334(x78731),x78732),f775(f158(x78731),x78733)))+~P1(f775(f775(f334(x78731),x78732),f775(f158(x78731),f775(f775(f159(x78731),x78734),x78733))))
% 184.29/184.09 [7874]P1(f775(f775(f334(x78741),x78742),f775(f158(x78741),x78743)))+~P1(f775(f775(f334(x78741),x78742),f775(f158(x78741),f775(f775(f128(x78741),x78744),x78743))))
% 184.29/184.09 [7948]P1(f775(f775(f334(x79481),x79482),x79483))+~P1(f775(f775(f334(x79481),x79482),f775(f775(f3(f857(x79481,a844)),x79483),x79484)))
% 184.29/184.09 [7950]P1(f775(f775(f334(x79501),x79502),x79503))+~P1(f775(f775(f334(x79501),x79502),f775(f775(f104(f857(x79501,a844)),x79504),x79503)))
% 184.29/184.09 [7953]P1(f775(f775(f334(x79531),x79532),x79533))+~P1(f775(f775(f334(x79531),x79532),f775(f775(f104(f857(x79531,a844)),x79533),x79534)))
% 184.29/184.09 [7970]E(f775(f775(f125(x79701),f775(f775(f159(x79701),x79702),x79703)),f775(f775(f140(x79701),x79704),f775(f775(f128(x79701),f775(a114,x79702)),x79703))),f775(f775(f148(x79701,x79703),x79702),x79704))+~P1(f775(f775(f233(a850),x79702),f775(f181(f851(x79701)),x79703)))
% 184.29/184.09 [7993]P1(f775(f775(f334(x79931),x79932),x79933))+~P1(f775(f775(f232(f857(x79931,a844)),f775(f775(f302(x79931),x79932),x79934)),x79933))
% 184.29/184.09 [8023]~P1(f775(f775(f334(x80231),x80232),x80233))+~P1(f775(f775(f334(x80231),x80232),f775(f775(f3(f857(x80231,a844)),x80234),x80233)))
% 184.29/184.09 [8056]~P1(f775(f775(f233(a850),x80564),f775(f181(f851(x80561)),x80563)))+P1(f775(f775(f334(x80561),x80562),f775(f158(x80561),f775(f775(f148(x80561,x80563),x80564),x80562))))
% 184.29/184.09 [8106]E(f775(f775(f153(x81061),f775(f775(f128(x81061),x81062),x81063)),x81064),f775(f775(f153(x81061),x81063),f775(f775(f82(a850),x81062),x81064)))+~P1(f775(f775(f232(a850),f775(f775(f82(a850),x81062),x81064)),f775(f181(f851(x81061)),x81063)))
% 184.29/184.09 [8115]~P2(x81152)+E(f775(f775(f8(x81151,x81152),f775(f775(f10(a850,x81152,x81151),f102(x81152)),x81153)),x81154),f775(f102(x81152),f775(f775(f8(x81151,a850),x81153),x81154)))
% 184.29/184.09 [8116]~P133(x81162)+E(f775(f775(f8(x81161,x81162),f775(f775(f10(a1,x81162,x81161),f105(x81162)),x81163)),x81164),f775(f105(x81162),f775(f775(f8(x81161,a1),x81163),x81164)))
% 184.29/184.09 [8169]~P63(x81692)+E(f775(f775(f11(x81691,x81692),f775(f775(f10(x81692,x81692,x81691),f77(x81692)),x81693)),x81694),f775(f77(x81692),f775(f775(f11(x81691,x81692),x81693),x81694)))
% 184.29/184.09 [8170]~P6(x81702)+E(f775(f775(f8(x81701,x81702),f775(f775(f10(x81702,x81702,x81701),f81(x81702)),x81703)),x81704),f775(f81(x81702),f775(f775(f8(x81701,x81702),x81703),x81704)))
% 184.29/184.09 [8172]E(f775(f775(f8(x81721,a850),x81722),f775(f775(f3(f857(x81721,a844)),x81723),f775(f775(f302(x81721),x81724),f180(f857(x81721,a844))))),f775(f775(f3(a850),f775(f775(f8(x81721,a850),x81722),x81723)),f775(x81722,x81724)))+~P1(f775(f775(f334(x81721),x81724),x81723))
% 184.29/184.09 [8191]P1(f775(f775(f232(f857(x81911,a844)),x81912),x81913))+~P1(f775(f775(f232(f857(x81911,a844)),f775(f775(f302(x81911),x81914),x81912)),x81913))
% 184.29/184.09 [8399]P36(x83991,x83992)+~P36(x83991,f775(f775(f302(f856(x83991,x83991)),f775(f775(f241(x83991,x83991),x83993),x83994)),x83992))
% 184.29/184.09 [8400]P56(x84001,x84002)+~P56(x84001,f775(f775(f302(f856(x84001,x84001)),f775(f775(f241(x84001,x84001),x84003),x84004)),x84002))
% 184.29/184.09 [8408]~P100(x84081)+E(f775(f775(f138(x84081,x84081,f7(x84081)),x84082),f775(f775(f138(x84081,x84081,f7(x84081)),x84083),x84084)),f775(f775(f138(x84081,x84081,f7(x84081)),x84083),f775(f775(f138(x84081,x84081,f7(x84081)),x84082),x84084)))
% 184.29/184.09 [8418]E(x84181,x84182)+~P1(f775(f64(x84183,x84184,f775(f775(f302(x84183),x84181),f180(f857(x84183,a844)))),x84182))
% 184.29/184.09 [8423]E(f775(f166(x84231,x84232,x84233),x84234),f183(x84232))+P1(f775(f775(f334(x84231),x84234),f775(f303(f856(x84231,x84232),x84231,f240(x84231,x84232)),f775(f158(f856(x84231,x84232)),x84233))))
% 184.29/184.09 [8429]E(f775(f775(f125(x84291),f775(f775(f159(x84291),x84292),x84293)),f775(f775(f159(x84291),x84294),f775(f775(f128(x84291),x84292),x84293))),f775(f775(f159(x84291),f775(f775(f82(a850),x84292),x84294)),x84293))+~P1(f775(f775(f232(a850),f775(f775(f82(a850),x84292),x84294)),f775(f181(f851(x84291)),x84293)))
% 184.29/184.09 [8473]P1(f775(f63(x84731),x84732))+~E(x84732,f775(f303(a850,x84731,x84733),f775(f256(a850),f775(f775(f9(a850,a850,a844),f233(a850)),x84734))))
% 184.29/184.09 [8493]~P83(x84931)+E(f775(f132(x84931,x84931,f82(x84931),f775(f775(f82(x84931),x84932),x84933)),x84934),f775(f775(f82(x84931),x84932),f775(f132(x84931,x84931,f82(x84931),x84933),x84934)))
% 184.29/184.09 [8525]P1(f775(f775(f232(f857(x85251,a844)),f775(f261(x85251,x85252),x85253)),f775(f261(x85251,x85252),x85254)))+~P1(f775(f775(f232(f857(f856(x85251,x85252),a844)),x85253),x85254))
% 184.29/184.09 [8536]~P1(f775(f775(f232(a850),x85362),x85364))+P1(f775(f775(f232(f857(x85361,a844)),f775(f158(x85361),f775(f775(f159(x85361),x85362),x85363))),f775(f158(x85361),f775(f775(f159(x85361),x85364),x85363))))
% 184.29/184.09 [8537]~P1(f775(f775(f232(a850),x85374),x85372))+P1(f775(f775(f232(f857(x85371,a844)),f775(f158(x85371),f775(f775(f128(x85371),x85372),x85373))),f775(f158(x85371),f775(f775(f128(x85371),x85374),x85373))))
% 184.29/184.09 [8580]~P1(f775(f63(x85801),f775(f775(f3(f857(x85801,a844)),x85802),x85804)))+P1(f775(f63(x85801),f775(f775(f3(f857(x85801,a844)),x85802),f775(f775(f302(x85801),x85803),x85804))))
% 184.29/184.09 [8614]P1(f775(f775(f334(f856(x86141,x86141)),x86142),f300(x86141,x86143)))+~P1(f775(f775(f334(f856(x86141,x86141)),x86142),f775(f775(f173(f856(x86141,x86141),a844),x86144),x86143)))
% 184.29/184.09 [8689]~P1(f775(f63(x86891),f775(f775(f3(f857(x86891,a844)),x86892),f775(f775(f302(x86891),x86894),x86893))))+P1(f775(f63(x86891),f775(f775(f3(f857(x86891,a844)),x86892),x86893)))
% 184.29/184.09 [8832]~E(f775(f166(x88321,x88322,x88323),x88324),f183(x88322))+~P1(f775(f775(f334(x88321),x88324),f775(f303(f856(x88321,x88322),x88321,f240(x88321,x88322)),f775(f158(f856(x88321,x88322)),x88323))))
% 184.29/184.09 [8869]~P100(x88691)+P1(f775(f775(f232(x88691),f775(f775(f179(x88691),x88692),f775(f775(f236(x88691),x88693),x88694))),f775(f775(f236(x88691),f775(f775(f179(x88691),x88692),x88693)),f775(f775(f179(x88691),x88692),x88694))))
% 184.29/184.09 [8870]~P93(x88701)+P1(f775(f775(f232(x88701),f775(f775(f103(x88701),x88702),f775(f775(f104(x88701),x88703),x88704))),f775(f775(f104(x88701),f775(f775(f103(x88701),x88702),x88703)),f775(f775(f103(x88701),x88702),x88704))))
% 184.29/184.09 [9014]E(x90141,x90142)+~P1(f775(f775(f334(f856(x90143,x90143)),f775(f775(f241(x90143,x90143),x90141),x90142)),f775(f158(f856(x90143,x90143)),f775(f775(f167(x90143,x90143),x90144),x90144))))
% 184.29/184.09 [9044]~P1(f775(f775(f334(f856(x90441,x90441)),f775(f775(f241(x90441,x90441),x90443),x90442)),f300(x90441,x90444)))+~P36(x90441,f775(f775(f302(f856(x90441,x90441)),f775(f775(f241(x90441,x90441),x90442),x90443)),x90444))
% 184.29/184.09 [9045]~P1(f775(f775(f334(f856(x90451,x90451)),f775(f775(f241(x90451,x90451),x90453),x90452)),f300(x90451,x90454)))+~P56(x90451,f775(f775(f302(f856(x90451,x90451)),f775(f775(f241(x90451,x90451),x90452),x90453)),x90454))
% 184.29/184.09 [9089]~P100(x90891)+P1(f775(f775(f232(x90891),f775(f775(f179(x90891),f775(f775(f236(x90891),x90892),x90893)),f775(f775(f236(x90891),x90892),x90894))),f775(f775(f236(x90891),x90892),f775(f775(f179(x90891),x90893),x90894))))
% 184.29/184.09 [9090]~P93(x90901)+P1(f775(f775(f232(x90901),f775(f775(f103(x90901),f775(f775(f104(x90901),x90902),x90903)),f775(f775(f104(x90901),x90902),x90904))),f775(f775(f104(x90901),x90902),f775(f775(f103(x90901),x90903),x90904))))
% 184.29/184.09 [9153]~E(f775(f303(x91532,x91531,x91533),f239(f857(x91532,a844))),f239(f857(x91531,a844)))+P1(f775(f775(f232(f857(x91531,a844)),f775(f81(f857(x91531,a844)),f775(f303(x91532,x91531,x91533),x91534))),f775(f303(x91532,x91531,x91533),f775(f81(f857(x91532,a844)),x91534))))
% 184.29/184.09 [9456]P1(f775(f775(f334(f856(x94561,x94561)),f775(f775(f241(x94561,x94561),x94562),x94563)),f775(f278(x94561,x94561),f775(f775(f281(x94561,x94561,x94561),x94564),f300(x94561,x94564)))))+~P1(f775(f775(f334(f856(x94561,x94561)),f775(f775(f241(x94561,x94561),x94562),x94563)),f775(f775(f281(x94561,x94561,x94561),f775(f278(x94561,x94561),x94564)),f300(x94561,f775(f278(x94561,x94561),x94564)))))
% 184.29/184.09 [9457]~P1(f775(f775(f334(f856(x94571,x94571)),f775(f775(f241(x94571,x94571),x94572),x94573)),f775(f278(x94571,x94571),f775(f775(f281(x94571,x94571,x94571),x94574),f300(x94571,x94574)))))+P1(f775(f775(f334(f856(x94571,x94571)),f775(f775(f241(x94571,x94571),x94572),x94573)),f775(f775(f281(x94571,x94571,x94571),f775(f278(x94571,x94571),x94574)),f300(x94571,f775(f278(x94571,x94571),x94574)))))
% 184.29/184.09 [9482]~P1(f775(f775(f334(x94822),x94824),f775(f259(x94821,x94822),x94823)))+P1(f775(f775(f334(f856(x94821,x94822)),f775(f775(f241(x94821,x94822),f594(x94823,x94821,x94824,x94822)),x94824)),x94823))
% 184.29/184.09 [9483]~P1(f775(f775(f334(x94832),x94834),f775(f259(x94831,x94832),x94833)))+P1(f775(f775(f334(f856(x94831,x94832)),f775(f775(f241(x94831,x94832),f595(x94833,x94831,x94834,x94832)),x94834)),x94833))
% 184.29/184.09 [9502]~P1(f775(f775(f334(x95021),x95024),f775(f775(f103(f857(x95021,a844)),x95022),x95023)))+P1(f775(f775(f775(f103(f857(x95021,a844)),f775(f775(f9(x95021,f857(x95021,a844),a844),f334(x95021)),x95022)),f775(f775(f9(x95021,f857(x95021,a844),a844),f334(x95021)),x95023)),x95024))
% 184.29/184.09 [9503]~P1(f775(f775(f334(x95031),x95034),f775(f775(f104(f857(x95031,a844)),x95032),x95033)))+P1(f775(f775(f775(f104(f857(x95031,a844)),f775(f775(f9(x95031,f857(x95031,a844),a844),f334(x95031)),x95032)),f775(f775(f9(x95031,f857(x95031,a844),a844),f334(x95031)),x95033)),x95034))
% 184.29/184.09 [9576]~P1(f775(f775(f334(f856(x95761,x95761)),f775(f775(f241(x95761,x95761),x95764),x95763)),f775(f775(f281(x95761,x95761,x95761),x95762),f300(x95761,x95762))))+P1(f775(f775(f334(f856(x95761,x95761)),f775(f775(f241(x95761,x95761),f655(x95762,x95763,x95764,x95761)),x95763)),x95762))
% 184.29/184.09 [9611]P1(f775(f775(f334(x96111),x96112),f775(f775(f103(f857(x96111,a844)),x96113),x96114)))+~P1(f775(f775(f775(f103(f857(x96111,a844)),f775(f775(f9(x96111,f857(x96111,a844),a844),f334(x96111)),x96113)),f775(f775(f9(x96111,f857(x96111,a844),a844),f334(x96111)),x96114)),x96112))
% 184.29/184.09 [9612]P1(f775(f775(f334(x96121),x96122),f775(f775(f104(f857(x96121,a844)),x96123),x96124)))+~P1(f775(f775(f775(f104(f857(x96121,a844)),f775(f775(f9(x96121,f857(x96121,a844),a844),f334(x96121)),x96123)),f775(f775(f9(x96121,f857(x96121,a844),a844),f334(x96121)),x96124)),x96122))
% 184.29/184.09 [9890]P34(x98901,f775(f775(f9(x98901,f857(f856(x98901,x98901),a844),f857(x98901,a844)),f775(f775(f10(f857(x98901,f857(f857(f856(x98901,x98901),a844),a844)),f857(f857(f856(x98901,x98901),a844),f857(x98901,a844)),x98901),f9(x98901,f857(f856(x98901,x98901),a844),a844)),f775(f775(f10(f857(x98901,f856(x98901,x98901)),f857(x98901,f857(f857(f856(x98901,x98901),a844),a844)),x98901),f775(f10(f856(x98901,x98901),f857(f857(f856(x98901,x98901),a844),a844),x98901),f334(f856(x98901,x98901)))),f241(x98901,x98901)))),x98902),x98903,x98904)+~P1(f775(f775(f334(f856(f851(x98901),f851(x98901))),f775(f775(f241(f851(x98901),f851(x98901)),x98903),x98904)),f147(x98901,x98902)))
% 184.29/184.09 [9894]P57(x98941,f775(f775(f9(x98941,f857(f856(x98941,x98941),a844),f857(x98941,a844)),f775(f775(f10(f857(x98941,f857(f857(f856(x98941,x98941),a844),a844)),f857(f857(f856(x98941,x98941),a844),f857(x98941,a844)),x98941),f9(x98941,f857(f856(x98941,x98941),a844),a844)),f775(f775(f10(f857(x98941,f856(x98941,x98941)),f857(x98941,f857(f857(f856(x98941,x98941),a844),a844)),x98941),f775(f10(f856(x98941,x98941),f857(f857(f856(x98941,x98941),a844),a844),x98941),f334(f856(x98941,x98941)))),f241(x98941,x98941)))),x98942),x98943,x98944)+~P1(f775(f775(f334(f856(f857(x98941,a844),f857(x98941,a844))),f775(f775(f241(f857(x98941,a844),f857(x98941,a844)),x98943),x98944)),f324(x98941,x98942)))
% 184.29/184.09 [9923]E(x99231,x99232)+~E(f775(f775(f9(x99233,f857(f856(x99233,x99234),a844),f857(x99234,a844)),f775(f775(f10(f857(x99234,f857(f857(f856(x99233,x99234),a844),a844)),f857(f857(f856(x99233,x99234),a844),f857(x99234,a844)),x99233),f9(x99234,f857(f856(x99233,x99234),a844),a844)),f775(f775(f10(f857(x99234,f856(x99233,x99234)),f857(x99234,f857(f857(f856(x99233,x99234),a844),a844)),x99233),f775(f10(f856(x99233,x99234),f857(f857(f856(x99233,x99234),a844),a844),x99234),f334(f856(x99233,x99234)))),f241(x99233,x99234)))),x99231),f775(f775(f9(x99233,f857(f856(x99233,x99234),a844),f857(x99234,a844)),f775(f775(f10(f857(x99234,f857(f857(f856(x99233,x99234),a844),a844)),f857(f857(f856(x99233,x99234),a844),f857(x99234,a844)),x99233),f9(x99234,f857(f856(x99233,x99234),a844),a844)),f775(f775(f10(f857(x99234,f856(x99233,x99234)),f857(x99234,f857(f857(f856(x99233,x99234),a844),a844)),x99233),f775(f10(f856(x99233,x99234),f857(f857(f856(x99233,x99234),a844),a844),x99234),f334(f856(x99233,x99234)))),f241(x99233,x99234)))),x99232))
% 184.29/184.09 [9926]~P34(x99261,f775(f775(f9(x99261,f857(f856(x99261,x99261),a844),f857(x99261,a844)),f775(f775(f10(f857(x99261,f857(f857(f856(x99261,x99261),a844),a844)),f857(f857(f856(x99261,x99261),a844),f857(x99261,a844)),x99261),f9(x99261,f857(f856(x99261,x99261),a844),a844)),f775(f775(f10(f857(x99261,f856(x99261,x99261)),f857(x99261,f857(f857(f856(x99261,x99261),a844),a844)),x99261),f775(f10(f856(x99261,x99261),f857(f857(f856(x99261,x99261),a844),a844),x99261),f334(f856(x99261,x99261)))),f241(x99261,x99261)))),x99264),x99262,x99263)+P1(f775(f775(f334(f856(f851(x99261),f851(x99261))),f775(f775(f241(f851(x99261),f851(x99261)),x99262),x99263)),f147(x99261,x99264)))
% 184.29/184.09 [9927]~P57(x99271,f775(f775(f9(x99271,f857(f856(x99271,x99271),a844),f857(x99271,a844)),f775(f775(f10(f857(x99271,f857(f857(f856(x99271,x99271),a844),a844)),f857(f857(f856(x99271,x99271),a844),f857(x99271,a844)),x99271),f9(x99271,f857(f856(x99271,x99271),a844),a844)),f775(f775(f10(f857(x99271,f856(x99271,x99271)),f857(x99271,f857(f857(f856(x99271,x99271),a844),a844)),x99271),f775(f10(f856(x99271,x99271),f857(f857(f856(x99271,x99271),a844),a844),x99271),f334(f856(x99271,x99271)))),f241(x99271,x99271)))),x99274),x99272,x99273)+P1(f775(f775(f334(f856(f857(x99271,a844),f857(x99271,a844))),f775(f775(f241(f857(x99271,a844),f857(x99271,a844)),x99272),x99273)),f324(x99271,x99274)))
% 184.29/184.09 [7421]~P88(x74211)+E(f775(f775(f82(x74211),f775(f106(x74211),x74212)),f775(f775(f82(x74211),f775(f106(x74211),x74213)),x74214)),f775(f775(f82(x74211),f775(f106(x74211),f775(f775(f82(a1),x74212),x74213))),x74214))
% 184.29/184.09 [7422]~P88(x74221)+E(f775(f775(f82(x74221),f775(f106(x74221),x74222)),f775(f775(f3(x74221),f775(f106(x74221),x74223)),x74224)),f775(f775(f3(x74221),f775(f106(x74221),f775(f775(f82(a1),x74222),x74223))),x74224))
% 184.29/184.09 [7423]~P88(x74231)+E(f775(f775(f83(x74231),f775(f106(x74231),x74232)),f775(f775(f83(x74231),f775(f106(x74231),x74233)),x74234)),f775(f775(f83(x74231),f775(f106(x74231),f775(f775(f83(a1),x74232),x74233))),x74234))
% 184.29/184.09 [7470]~P2(x74701)+E(f775(f155(x74701),f775(f775(f143(x74702,x74701),f775(f18(x74701,x74702),x74703)),x74704)),f775(f775(f83(x74701),f775(f102(x74701),f775(f181(f851(x74702)),x74704))),x74703))
% 184.29/184.09 [7706]E(f775(f265(x77061,f775(f775(f140(f856(a101,x77061)),x77062),x77063)),x77064),f775(f250(a101,x77061),x77062))+~P1(f775(f775(f233(a101),x77064),f775(f240(a101,x77061),x77062)))
% 184.29/184.09 [7754]~P88(x77541)+E(f775(f775(f82(x77541),f775(f106(x77541),x77542)),f775(f775(f3(x77541),x77543),f775(f106(x77541),x77544))),f775(f775(f82(x77541),f775(f106(x77541),f775(f775(f82(a1),x77542),f775(f81(a1),x77544)))),x77543))
% 184.29/184.09 [7885]E(f775(f265(x78851,x78852),f775(f775(f3(a101),x78853),f775(f240(a101,x78851),x78854))),f775(f265(x78851,f775(f775(f140(f856(a101,x78851)),x78854),x78852)),x78853))+P1(f775(f775(f233(a101),x78853),f775(f240(a101,x78851),x78854)))
% 184.29/184.09 [8316]~P1(f775(f775(f334(x83161),x83162),f775(f158(x83161),f116(x83161,x83164))))+P1(f775(f775(f334(x83161),x83162),f775(f158(x83161),f116(x83161,f775(f775(f125(x83161),x83163),x83164)))))
% 184.29/184.09 [8317]~P1(f775(f775(f334(x83171),x83172),f775(f158(x83171),f116(x83171,x83173))))+P1(f775(f775(f334(x83171),x83172),f775(f158(x83171),f116(x83171,f775(f775(f125(x83171),x83173),x83174)))))
% 184.29/184.09 [8340]E(f775(f775(f103(f857(x83401,a844)),f775(f775(f104(f857(x83401,a844)),x83402),x83403)),x83404),f775(f775(f104(f857(x83401,a844)),x83402),f775(f775(f103(f857(x83401,a844)),x83403),x83404)))+~P1(f775(f775(f232(f857(x83401,a844)),x83404),x83402))
% 184.29/184.09 [8627]~E(f775(f775(f103(f857(x86271,a844)),f775(f775(f104(f857(x86271,a844)),x86273),x86274)),x86272),f775(f775(f104(f857(x86271,a844)),x86273),f775(f775(f103(f857(x86271,a844)),x86274),x86272)))+P1(f775(f775(f232(f857(x86271,a844)),x86272),x86273))
% 184.29/184.09 [8876]~P1(f775(f775(f232(f857(x88761,a844)),x88762),f775(f775(f103(f857(x88761,a844)),x88763),x88764)))+P1(f775(f775(f232(f857(x88761,a844)),f775(f775(f3(f857(x88761,a844)),x88762),x88763)),x88764))
% 184.29/184.09 [8995]P1(f775(f775(f232(f857(x89951,a844)),x89952),f775(f775(f103(f857(x89951,a844)),x89953),x89954)))+~P1(f775(f775(f232(f857(x89951,a844)),f775(f775(f3(f857(x89951,a844)),x89952),x89953)),x89954))
% 184.29/184.09 [9071]~P79(x90711)+E(f775(f77(x90711),f775(f775(f8(x90712,x90711),f775(f775(f10(x90711,x90711,x90712),f77(x90711)),x90713)),x90714)),f775(f775(f8(x90712,x90711),f775(f775(f10(x90711,x90711,x90712),f77(x90711)),x90713)),x90714))
% 184.29/184.09 [9216]~P79(x92161)+P1(f775(f775(f232(x92161),f2(x92161)),f775(f775(f8(x92162,x92161),f775(f775(f10(x92161,x92161,x92162),f77(x92161)),x92163)),x92164)))
% 184.29/184.09 [9219]~P6(x92191)+E(f775(f155(x92191),f775(f775(f143(x92192,x92191),f775(f75(x92191,x92191,x92192,f81(x92191)),x92193)),x92194)),f775(f81(x92191),f775(f155(x92191),f775(f775(f143(x92192,x92191),x92193),x92194))))
% 184.29/184.09 [9356]~P79(x93561)+P1(f775(f775(f232(x93561),f775(f77(x93561),f775(f775(f8(x93562,x93561),x93563),x93564))),f775(f775(f8(x93562,x93561),f775(f775(f10(x93561,x93561,x93562),f77(x93561)),x93563)),x93564)))
% 184.29/184.09 [9384]~E(f775(f775(f82(a850),x93841),x93844),f775(f775(f82(a850),x93843),x93842))+P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),f775(f775(f241(a850,a850),x93841),x93842)),f775(f775(f241(a850,a850),x93843),x93844))),a111))
% 184.29/184.09 [9385]~P1(f775(f775(f233(a850),x93851),x93853))+P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),f775(f775(f241(a850,a850),x93851),x93852)),f775(f775(f241(a850,a850),x93853),x93854))),a40))
% 184.29/184.09 [9386]~P1(f775(f775(f233(a850),x93861),x93863))+P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),f775(f775(f241(a850,a850),x93861),x93862)),f775(f775(f241(a850,a850),x93863),x93864))),a72))
% 184.29/184.09 [9525]E(f775(f775(f82(a850),x95251),x95252),f775(f775(f82(a850),x95253),x95254))+~P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),f775(f775(f241(a850,a850),x95251),x95254)),f775(f775(f241(a850,a850),x95253),x95252))),a111))
% 184.29/184.09 [9569]~P1(f775(f775(f334(x95692),x95694),f775(f775(f46(x95691,f857(x95692,a844)),f239(f857(x95691,a844))),x95693)))+P1(f775(f775(f775(f46(x95691,f857(x95692,a844)),f239(f857(x95691,a844))),f775(f775(f10(f857(x95692,a844),f857(x95692,a844),x95691),f775(f9(x95692,f857(x95692,a844),a844),f334(x95692))),x95693)),x95694))
% 184.29/184.09 [9570]~P1(f775(f775(f334(x95702),x95704),f775(f775(f47(x95701,f857(x95702,a844)),f239(f857(x95701,a844))),x95703)))+P1(f775(f775(f775(f47(x95701,f857(x95702,a844)),f239(f857(x95701,a844))),f775(f775(f10(f857(x95702,a844),f857(x95702,a844),x95701),f775(f9(x95702,f857(x95702,a844),a844),f334(x95702))),x95703)),x95704))
% 184.29/184.09 [9636]~P1(f775(f56(x96361,x96362),f775(f775(f241(a1,a1),x96364),x96363)))+P1(f775(f56(f775(f81(a1),x96361),x96362),f775(f775(f241(a1,a1),f775(f775(f775(f98(a1),f775(f775(a330,x96363),f2(a1))),f775(f81(a1),x96364)),f775(f775(f3(a1),f775(f81(a1),x96364)),f80(a1)))),f775(f775(f775(f98(a1),f775(f775(a330,x96363),f2(a1))),f2(a1)),f775(f775(f3(a1),x96362),x96363)))))
% 184.29/184.09 [9645]P1(f775(f775(f334(x96451),x96452),f775(f775(f46(x96453,f857(x96451,a844)),f239(f857(x96453,a844))),x96454)))+~P1(f775(f775(f775(f46(x96453,f857(x96451,a844)),f239(f857(x96453,a844))),f775(f775(f10(f857(x96451,a844),f857(x96451,a844),x96453),f775(f9(x96451,f857(x96451,a844),a844),f334(x96451))),x96454)),x96452))
% 184.29/184.09 [9646]P1(f775(f775(f334(x96461),x96462),f775(f775(f47(x96463,f857(x96461,a844)),f239(f857(x96463,a844))),x96464)))+~P1(f775(f775(f775(f47(x96463,f857(x96461,a844)),f239(f857(x96463,a844))),f775(f775(f10(f857(x96461,a844),f857(x96461,a844),x96463),f775(f9(x96461,f857(x96461,a844),a844),f334(x96461))),x96464)),x96462))
% 184.29/184.09 [9657]E(f775(f775(f46(a850,f857(x96571,a844)),f239(f857(a850,a844))),x96572),f775(f775(f46(a850,f857(x96571,a844)),f239(f857(a850,a844))),x96573))+~E(f775(f775(f46(a850,f857(x96571,a844)),f775(f294(a850,f2(a850)),f398(x96572,x96574,x96573,x96571))),x96573),f775(f775(f46(a850,f857(x96571,a844)),f775(f294(a850,f2(a850)),f775(f775(f82(a850),f398(x96572,x96574,x96573,x96571)),x96574))),x96572))
% 184.29/184.09 [9987]~P1(f775(f775(f232(f857(f856(x99871,x99872),a844)),x99873),x99874))+P1(f775(f775(f232(f857(x99871,f857(x99872,a844))),f775(f775(f9(x99871,f857(f856(x99871,x99872),a844),f857(x99872,a844)),f775(f775(f10(f857(x99872,f857(f857(f856(x99871,x99872),a844),a844)),f857(f857(f856(x99871,x99872),a844),f857(x99872,a844)),x99871),f9(x99872,f857(f856(x99871,x99872),a844),a844)),f775(f775(f10(f857(x99872,f856(x99871,x99872)),f857(x99872,f857(f857(f856(x99871,x99872),a844),a844)),x99871),f775(f10(f856(x99871,x99872),f857(f857(f856(x99871,x99872),a844),a844),x99872),f334(f856(x99871,x99872)))),f241(x99871,x99872)))),x99873)),f775(f775(f9(x99871,f857(f856(x99871,x99872),a844),f857(x99872,a844)),f775(f775(f10(f857(x99872,f857(f857(f856(x99871,x99872),a844),a844)),f857(f857(f856(x99871,x99872),a844),f857(x99872,a844)),x99871),f9(x99872,f857(f856(x99871,x99872),a844),a844)),f775(f775(f10(f857(x99872,f856(x99871,x99872)),f857(x99872,f857(f857(f856(x99871,x99872),a844),a844)),x99871),f775(f10(f856(x99871,x99872),f857(f857(f856(x99871,x99872),a844),a844),x99872),f334(f856(x99871,x99872)))),f241(x99871,x99872)))),x99874)))
% 184.29/184.09 [10003]P1(f775(f775(f232(f857(f856(x100031,x100032),a844)),x100033),x100034))+~P1(f775(f775(f232(f857(x100031,f857(x100032,a844))),f775(f775(f9(x100031,f857(f856(x100031,x100032),a844),f857(x100032,a844)),f775(f775(f10(f857(x100032,f857(f857(f856(x100031,x100032),a844),a844)),f857(f857(f856(x100031,x100032),a844),f857(x100032,a844)),x100031),f9(x100032,f857(f856(x100031,x100032),a844),a844)),f775(f775(f10(f857(x100032,f856(x100031,x100032)),f857(x100032,f857(f857(f856(x100031,x100032),a844),a844)),x100031),f775(f10(f856(x100031,x100032),f857(f857(f856(x100031,x100032),a844),a844),x100032),f334(f856(x100031,x100032)))),f241(x100031,x100032)))),x100033)),f775(f775(f9(x100031,f857(f856(x100031,x100032),a844),f857(x100032,a844)),f775(f775(f10(f857(x100032,f857(f857(f856(x100031,x100032),a844),a844)),f857(f857(f856(x100031,x100032),a844),f857(x100032,a844)),x100031),f9(x100032,f857(f856(x100031,x100032),a844),a844)),f775(f775(f10(f857(x100032,f856(x100031,x100032)),f857(x100032,f857(f857(f856(x100031,x100032),a844),a844)),x100031),f775(f10(f856(x100031,x100032),f857(f857(f856(x100031,x100032),a844),a844),x100032),f334(f856(x100031,x100032)))),f241(x100031,x100032)))),x100034)))
% 184.29/184.09 [9116]~P1(f775(f775(f334(f856(x91161,x91161)),x91162),f300(x91161,x91164)))+P1(f775(f775(f334(f856(x91161,x91161)),x91162),f300(x91161,f775(f775(f103(f857(f856(x91161,x91161),a844)),x91163),x91164))))
% 184.29/184.09 [9117]~P1(f775(f775(f334(f856(x91171,x91171)),x91172),f300(x91171,x91173)))+P1(f775(f775(f334(f856(x91171,x91171)),x91172),f300(x91171,f775(f775(f103(f857(f856(x91171,x91171),a844)),x91173),x91174))))
% 184.29/184.09 [9448]~E(f775(f158(x94481),x94484),f169(x94481,x94482,x94483))+E(f166(x94481,x94482,f775(f775(f143(x94481,f856(x94481,x94482)),f775(f775(f20(x94481,x94482,f856(x94481,x94482)),f241(x94481,x94482)),f775(f775(f10(f854(x94482),x94482,x94481),f231(x94482)),x94483))),x94484)),x94483)
% 184.29/184.09 [9739]~P1(f775(f775(f233(a850),f775(f775(f82(a850),x97391),x97394)),f775(f775(f82(a850),x97393),x97392)))+P1(f775(f775(f233(a1),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x97391),x97392)),f180(f857(f856(a850,a850),a844)))))),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x97393),x97394)),f180(f857(f856(a850,a850),a844)))))))
% 184.29/184.09 [9740]~P1(f775(f775(f232(a850),f775(f775(f82(a850),x97401),x97404)),f775(f775(f82(a850),x97403),x97402)))+P1(f775(f775(f232(a1),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x97401),x97402)),f180(f857(f856(a850,a850),a844)))))),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x97403),x97404)),f180(f857(f856(a850,a850),a844)))))))
% 184.29/184.09 [9828]P1(f775(f775(f233(a850),f775(f775(f82(a850),x98281),x98282)),f775(f775(f82(a850),x98283),x98284)))+~P1(f775(f775(f233(a1),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x98281),x98284)),f180(f857(f856(a850,a850),a844)))))),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x98283),x98282)),f180(f857(f856(a850,a850),a844)))))))
% 184.29/184.09 [9829]P1(f775(f775(f232(a850),f775(f775(f82(a850),x98291),x98292)),f775(f775(f82(a850),x98293),x98294)))+~P1(f775(f775(f232(a1),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x98291),x98294)),f180(f857(f856(a850,a850),a844)))))),f775(a91,f775(f277(f856(a850,a850),f856(a850,a850),a111),f775(f775(f302(f856(a850,a850)),f775(f775(f241(a850,a850),x98293),x98292)),f180(f857(f856(a850,a850),a844)))))))
% 184.29/184.09 [9876]P1(f775(f775(f232(f857(x98761,a844)),f775(f775(f46(a850,f857(x98761,a844)),f239(f857(a850,a844))),x98762)),f775(f775(f46(a850,f857(x98761,a844)),f239(f857(a850,a844))),x98763)))+~P1(f775(f775(f232(f857(x98761,a844)),f775(f775(f46(a850,f857(x98761,a844)),f775(f294(a850,f2(a850)),f399(x98763,x98764,x98762,x98761))),x98762)),f775(f775(f46(a850,f857(x98761,a844)),f775(f294(a850,f2(a850)),f775(f775(f82(a850),f399(x98763,x98764,x98762,x98761)),x98764))),x98763)))
% 184.29/184.09 [9929]P1(f775(f775(f232(a101),x99294),f2(a101)))+E(f775(f775(f253(f856(a101,a101),f856(x99291,f857(a853,a842)),f856(a101,a101),f856(f857(a101,f857(a844,f854(f852(x99291)))),f856(a101,a101))),f775(x99292,x99293)),f775(f775(f10(f857(f857(a101,f857(a844,f854(f852(x99291)))),f857(f856(a101,a101),f856(f857(a101,f857(a844,f854(f852(x99291)))),f856(a101,a101)))),f857(f856(a101,a101),f856(f857(a101,f857(a844,f854(f852(x99291)))),f856(a101,a101))),f856(x99291,f857(a853,a842))),f775(f253(f856(a101,a101),f857(a101,f857(a844,f854(f852(x99291)))),f856(a101,a101),f856(f857(a101,f857(a844,f854(f852(x99291)))),f856(a101,a101))),f272(x99291,x99292,f775(f775(f3(a101),x99294),f80(a101)),x99293))),f775(f775(f10(f857(f857(a101,f857(a844,f854(f852(x99291)))),f857(a101,f857(a844,f854(f852(x99291))))),f857(f857(a101,f857(a844,f854(f852(x99291)))),f857(f856(a101,a101),f856(f857(a101,f857(a844,f854(f852(x99291)))),f856(a101,a101)))),f856(x99291,f857(a853,a842))),f775(f10(f857(a101,f857(a844,f854(f852(x99291)))),f857(f856(a101,a101),f856(f857(a101,f857(a844,f854(f852(x99291)))),f856(a101,a101))),f857(a101,f857(a844,f854(f852(x99291))))),f241(f857(a101,f857(a844,f854(f852(x99291)))),f856(a101,a101)))),f775(f775(f10(f857(a101,f857(a844,f854(f852(x99291)))),f857(f857(a101,f857(a844,f854(f852(x99291)))),f857(a101,f857(a844,f854(f852(x99291))))),f856(x99291,f857(a853,a842))),f51(x99291)),f775(f775(f10(x99291,f857(a101,f857(a844,f854(f852(x99291)))),f856(x99291,f857(a853,a842))),f49(x99291)),f240(x99291,f857(a853,a842))))))),f272(x99291,x99292,x99294,x99293))
% 184.29/184.09 [9978]~P1(f775(f775(f334(x99782),x99784),f775(f259(x99781,x99782),x99783)))+P1(f775(f247(x99781,x99782,f775(f775(f9(x99781,f857(f856(x99781,x99782),a844),f857(x99782,a844)),f775(f775(f10(f857(x99782,f857(f857(f856(x99781,x99782),a844),a844)),f857(f857(f856(x99781,x99782),a844),f857(x99782,a844)),x99781),f9(x99782,f857(f856(x99781,x99782),a844),a844)),f775(f775(f10(f857(x99782,f856(x99781,x99782)),f857(x99782,f857(f857(f856(x99781,x99782),a844),a844)),x99781),f775(f10(f856(x99781,x99782),f857(f857(f856(x99781,x99782),a844),a844),x99782),f334(f856(x99781,x99782)))),f241(x99781,x99782)))),x99783)),x99784))
% 184.29/184.09 [9979]~P1(f775(f775(f334(x99791),x99794),f775(f261(x99791,x99792),x99793)))+P1(f775(f246(x99791,x99792,f775(f775(f9(x99791,f857(f856(x99791,x99792),a844),f857(x99792,a844)),f775(f775(f10(f857(x99792,f857(f857(f856(x99791,x99792),a844),a844)),f857(f857(f856(x99791,x99792),a844),f857(x99792,a844)),x99791),f9(x99792,f857(f856(x99791,x99792),a844),a844)),f775(f775(f10(f857(x99792,f856(x99791,x99792)),f857(x99792,f857(f857(f856(x99791,x99792),a844),a844)),x99791),f775(f10(f856(x99791,x99792),f857(f857(f856(x99791,x99792),a844),a844),x99792),f334(f856(x99791,x99792)))),f241(x99791,x99792)))),x99793)),x99794))
% 184.29/184.09 [9990]P1(f775(f775(f334(x99901),x99902),f775(f259(x99903,x99901),x99904)))+~P1(f775(f247(x99903,x99901,f775(f775(f9(x99903,f857(f856(x99903,x99901),a844),f857(x99901,a844)),f775(f775(f10(f857(x99901,f857(f857(f856(x99903,x99901),a844),a844)),f857(f857(f856(x99903,x99901),a844),f857(x99901,a844)),x99903),f9(x99901,f857(f856(x99903,x99901),a844),a844)),f775(f775(f10(f857(x99901,f856(x99903,x99901)),f857(x99901,f857(f857(f856(x99903,x99901),a844),a844)),x99903),f775(f10(f856(x99903,x99901),f857(f857(f856(x99903,x99901),a844),a844),x99901),f334(f856(x99903,x99901)))),f241(x99903,x99901)))),x99904)),x99902))
% 184.29/184.09 [9991]P1(f775(f775(f334(x99911),x99912),f775(f261(x99911,x99913),x99914)))+~P1(f775(f246(x99911,x99913,f775(f775(f9(x99911,f857(f856(x99911,x99913),a844),f857(x99913,a844)),f775(f775(f10(f857(x99913,f857(f857(f856(x99911,x99913),a844),a844)),f857(f857(f856(x99911,x99913),a844),f857(x99913,a844)),x99911),f9(x99913,f857(f856(x99911,x99913),a844),a844)),f775(f775(f10(f857(x99913,f856(x99911,x99913)),f857(x99913,f857(f857(f856(x99911,x99913),a844),a844)),x99911),f775(f10(f856(x99911,x99913),f857(f857(f856(x99911,x99913),a844),a844),x99913),f334(f856(x99911,x99913)))),f241(x99911,x99913)))),x99914)),x99912))
% 184.29/184.09 [9753]~P85(x97531)+E(f775(f775(f83(x97531),f775(f775(f82(x97531),f80(x97531)),f80(x97531))),f775(f775(f8(a850,x97531),f775(f775(f10(x97531,x97531,a850),f775(f82(x97531),x97532)),f775(f775(f9(a850,x97531,x97531),f775(f775(f10(x97531,f857(x97531,x97531),a850),f83(x97531)),f102(x97531))),x97533))),f775(f257(a850),x97534))),f775(f775(f83(x97531),f775(f102(x97531),x97534)),f775(f775(f82(x97531),x97532),f775(f775(f82(x97531),x97532),f775(f775(f83(x97531),f775(f102(x97531),f775(f775(f3(a850),x97534),f80(a850)))),x97533)))))
% 184.29/184.09 [9897]P1(f775(x98971,f591(x98972,x98973,x98974,x98971)))+P36(x98972,f775(f256(f856(x98972,x98972)),f775(f251(x98972,x98972,a844),f775(f775(f10(f857(x98972,a844),f857(x98972,a844),x98972),f775(f20(x98972,a844,a844),f775(f775(f10(a844,f857(a844,a844),x98972),a331),x98971))),f775(f775(f9(x98972,f857(x98972,x98972),f857(x98972,a844)),f775(f775(f10(f857(x98972,a844),f857(f857(x98972,x98972),f857(x98972,a844)),x98972),f10(x98972,a844,x98972)),a330)),x98973)))))
% 184.29/184.09 [9911]~P1(f775(f775(f233(a850),f775(x99114,f775(x99113,f591(x99111,x99113,x99114,x99112)))),f775(x99114,f591(x99111,x99113,x99114,x99112))))+P36(x99111,f775(f256(f856(x99111,x99111)),f775(f251(x99111,x99111,a844),f775(f775(f10(f857(x99111,a844),f857(x99111,a844),x99111),f775(f20(x99111,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99111),a331),x99112))),f775(f775(f9(x99111,f857(x99111,x99111),f857(x99111,a844)),f775(f775(f10(f857(x99111,a844),f857(f857(x99111,x99111),f857(x99111,a844)),x99111),f10(x99111,a844,x99111)),a330)),x99113)))))
% 184.29/184.09 [10015]~P1(f775(f775(f334(f856(x100151,x100151)),f775(f775(f241(x100151,x100151),x100153),x100154)),f775(f775(f103(f857(f856(x100151,x100151),a844)),x100152),f300(x100151,f180(f857(f856(x100151,x100151),a844))))))+P1(f775(f775(f775(f775(f103(f857(x100151,f857(x100151,a844))),f775(f775(f9(x100151,f857(f856(x100151,x100151),a844),f857(x100151,a844)),f775(f775(f10(f857(x100151,f857(f857(f856(x100151,x100151),a844),a844)),f857(f857(f856(x100151,x100151),a844),f857(x100151,a844)),x100151),f9(x100151,f857(f856(x100151,x100151),a844),a844)),f775(f775(f10(f857(x100151,f856(x100151,x100151)),f857(x100151,f857(f857(f856(x100151,x100151),a844),a844)),x100151),f775(f10(f856(x100151,x100151),f857(f857(f856(x100151,x100151),a844),a844),x100151),f334(f856(x100151,x100151)))),f241(x100151,x100151)))),x100152)),a330),x100153),x100154))
% 184.29/184.09 [10023]P1(f775(f775(f334(f856(x100231,x100231)),f775(f775(f241(x100231,x100231),x100232),x100233)),f775(f775(f103(f857(f856(x100231,x100231),a844)),x100234),f300(x100231,f180(f857(f856(x100231,x100231),a844))))))+~P1(f775(f775(f775(f775(f103(f857(x100231,f857(x100231,a844))),f775(f775(f9(x100231,f857(f856(x100231,x100231),a844),f857(x100231,a844)),f775(f775(f10(f857(x100231,f857(f857(f856(x100231,x100231),a844),a844)),f857(f857(f856(x100231,x100231),a844),f857(x100231,a844)),x100231),f9(x100231,f857(f856(x100231,x100231),a844),a844)),f775(f775(f10(f857(x100231,f856(x100231,x100231)),f857(x100231,f857(f857(f856(x100231,x100231),a844),a844)),x100231),f775(f10(f856(x100231,x100231),f857(f857(f856(x100231,x100231),a844),a844),x100231),f334(f856(x100231,x100231)))),f241(x100231,x100231)))),x100234)),a330),x100232),x100233))
% 184.29/184.09 [9975]E(f775(f775(f140(f851(x99751)),f775(f775(f140(x99751),x99752),f775(f132(f851(x99751),f851(x99751),f125(x99751),f115(x99751)),f775(f775(f143(f851(x99751),f851(x99751)),f145(f851(x99751),x99751,f115(x99751),f775(f775(f10(f851(x99751),f857(f851(x99751),f851(x99751)),x99751),f18(f851(x99751),f851(x99751))),f775(f775(f9(x99751,f851(x99751),f851(x99751)),f140(x99751)),f115(x99751))))),x99753)))),f164(x99751,f775(f775(f140(f851(x99751)),x99754),f775(f132(f851(f851(x99751)),f851(f851(x99751)),f125(f851(x99751)),f115(f851(x99751))),f775(f775(f143(f851(x99751),f851(f851(x99751))),f145(f851(f851(x99751)),x99751,f115(f851(x99751)),f775(f18(f857(f851(x99751),f851(f851(x99751))),x99751),f775(f775(f9(f851(x99751),f851(f851(x99751)),f851(f851(x99751))),f140(f851(x99751))),f115(f851(x99751)))))),x99753))))),f164(x99751,f775(f775(f140(f851(x99751)),f775(f775(f140(x99751),x99752),x99754)),x99753)))+~P1(f775(f321(f851(f851(x99751)),f165(x99751)),f775(f775(f140(f851(x99751)),f775(f775(f140(x99751),x99752),x99754)),x99753)))
% 184.29/184.09 [10014]~P1(f775(f63(x100142),f775(f256(x100142),x100144)))+P1(f775(f63(x100141),f775(f256(x100141),f775(f775(f10(f857(x100142,a844),a844,x100141),f89(x100142)),f775(f775(f9(x100141,f857(x100142,a844),f857(x100142,a844)),f775(f775(f10(f857(x100142,f857(a844,a844)),f857(f857(x100142,a844),f857(x100142,a844)),x100141),f20(x100142,a844,a844)),f775(f775(f10(f857(x100142,a844),f857(x100142,f857(a844,a844)),x100141),f775(f10(a844,f857(a844,a844),x100142),a331)),f775(f775(f9(x100141,f857(x100142,x100141),f857(x100142,a844)),f775(f775(f10(f857(x100141,a844),f857(f857(x100142,x100141),f857(x100142,a844)),x100141),f10(x100141,a844,x100142)),a330)),x100143)))),x100144)))))
% 184.29/184.09 [7176]E(x71761,x71762)+~E(f316(x71763,x71764,x71765,x71761),f316(x71763,x71764,x71765,x71762))
% 184.29/184.09 [7177]E(x71771,x71772)+~E(f317(x71773,x71774,x71775,x71771),f317(x71773,x71774,x71775,x71772))
% 184.29/184.09 [8989]~P39(f36(x89891,x89895),x89892,x89893,x89894)+P39(x89891,x89892,x89893,f371(x89894,x89893,x89892,x89895,x89891))
% 184.29/184.09 [8990]~P39(f36(x89901,x89905),x89902,x89903,x89904)+P39(x89901,x89902,x89903,f383(x89904,x89903,x89902,x89905,x89901))
% 184.29/184.09 [8991]~P39(f36(x89915,x89911),x89914,x89913,x89912)+P39(x89911,f371(x89912,x89913,x89914,x89911,x89915),x89913,x89912)
% 184.29/184.09 [8992]~P39(f36(x89925,x89921),x89924,x89923,x89922)+P39(x89921,f383(x89922,x89923,x89924,x89921,x89925),x89923,x89922)
% 184.29/184.09 [5519]E(f775(f775(f302(x55191),x55192),f169(x55191,x55193,x55194)),f169(x55191,x55193,x55194))+~E(f775(x55194,x55192),f775(f227(x55193),x55195))
% 184.29/184.09 [5933]P1(f775(f247(x59331,x59332,x59333),x59334))+~P1(f775(f775(x59333,x59335),x59334))
% 184.29/184.09 [5935]P1(f775(f246(x59351,x59352,x59353),x59354))+~P1(f775(f775(x59353,x59354),x59355))
% 184.29/184.09 [5938]~E(f775(x59384,x59382),f775(f227(x59383),x59385))+P1(f775(f775(f334(x59381),x59382),f169(x59381,x59383,x59384)))
% 184.29/184.09 [5939]~E(f775(x59394,x59395),f775(f227(x59391),x59392))+P1(f775(f775(f334(x59391),x59392),f171(x59393,x59391,x59394)))
% 184.29/184.09 [6423]~E(x64235,f2(a101))+E(f775(f193(x64231,x64232,x64233,x64234),x64235),f117(x64232))
% 184.29/184.09 [6424]~E(x64245,f2(a101))+E(f775(f191(x64241,x64242,x64243,x64244),x64245),f124(x64242))
% 184.29/184.09 [6520]~P39(f28(x65203,x65204),x65202,x65205,x65201)+E(x65201,f775(f775(f775(a189,x65202),x65203),f775(x65204,x65202)))
% 184.29/184.09 [6565]~E(x65653,f2(a101))+E(f775(f268(x65651,x65652,x65653,x65654),x65655),f775(f241(x65651,x65652),x65655))
% 184.29/184.09 [6646]~E(f775(x66464,x66465),f183(x66462))+E(f775(f229(f854(x66461),x66462,f183(x66461),x66463),f775(x66464,x66465)),f183(x66461))
% 184.29/184.09 [7299]E(f775(x72991,x72992),f183(x72993))+~E(f775(f170(x72994,x72993,x72995,x72991),x72992),f183(x72993))
% 184.29/184.09 [7300]E(f775(x73001,x73002),f183(x73003))+~E(f775(f170(x73004,x73003,x73001,x73005),x73002),f183(x73003))
% 184.29/184.09 [7340]E(f775(f170(x73401,x73402,x73403,x73404),x73405),f775(x73403,x73405))+P1(f775(f775(f334(x73401),x73405),f169(x73401,x73402,x73404)))
% 184.29/184.09 [7341]E(f775(f170(x73411,x73412,x73413,x73414),x73415),f775(x73414,x73415))+P1(f775(f775(f334(x73411),x73415),f169(x73411,x73412,x73413)))
% 184.29/184.09 [7667]~P24(x76674,x76671,x76672,x76675)+E(f775(f75(x76671,x76671,x76671,f775(x76672,x76673)),f775(x76672,x76673)),f775(x76672,x76673))
% 184.29/184.09 [7710]E(f775(f170(x77101,x77102,x77103,x77104),x77105),f775(x77104,x77105))+~P1(f775(f775(f334(x77101),x77105),f169(x77101,x77102,x77104)))
% 184.29/184.09 [8057]~P20(x80575,x80571,x80572)+E(f775(f75(x80571,x80571,x80571,f775(x80572,x80573)),f775(x80572,x80574)),f775(f75(x80571,x80571,x80571,f775(x80572,x80574)),f775(x80572,x80573)))
% 184.29/184.09 [8379]P1(f775(f775(f334(f856(x83791,x83791)),f775(f775(f241(x83791,x83791),x83792),x83793)),f327(x83791,x83794,x83795)))+~P1(f775(f775(f233(a850),f775(x83794,x83792)),f775(x83794,x83793)))
% 184.29/184.09 [8479]~P1(f775(f775(f334(x84794),x84793),f282(x84794,x84791,x84792,x84795)))+P1(f775(f775(x84791,x84792),x84793))
% 184.29/184.09 [8480]~P1(f775(f775(f334(x84804),x84803),f291(x84804,x84801,x84802,x84805)))+P1(f775(f775(x84801,x84802),x84803))
% 184.29/184.09 [8481]~P1(f775(f775(f334(x84814),x84812),f282(x84814,x84811,x84815,x84813)))+P1(f775(f775(x84811,x84812),x84813))
% 184.29/184.09 [8482]~P1(f775(f775(f334(x84824),x84822),f291(x84824,x84821,x84825,x84823)))+P1(f775(f775(x84821,x84822),x84823))
% 184.29/184.09 [8604]~P55(x86042,x86041,x86045,x86043,x86044)+E(f775(f303(x86041,x86042,x86043),x86044),f239(f857(x86042,a844)))
% 184.29/184.09 [9375]P1(f775(f775(f334(f856(f851(x93751),f851(x93751))),f775(f775(f241(f851(x93751),f851(x93751)),f775(f775(f140(x93751),x93752),x93753)),f775(f775(f140(x93751),x93752),x93754))),f146(x93751,x93755)))+~P1(f775(f775(f334(f856(f851(x93751),f851(x93751))),f775(f775(f241(f851(x93751),f851(x93751)),x93753),x93754)),f146(x93751,x93755)))
% 184.29/184.09 [9376]P1(f775(f775(f334(f856(f851(x93761),f851(x93761))),f775(f775(f241(f851(x93761),f851(x93761)),f775(f775(f125(x93761),x93762),x93763)),f775(f775(f125(x93761),x93762),x93764))),f137(x93761,x93765)))+~P1(f775(f775(f334(f856(f851(x93761),f851(x93761))),f775(f775(f241(f851(x93761),f851(x93761)),x93763),x93764)),f137(x93761,x93765)))
% 184.29/184.09 [9427]~E(f775(x94273,f396(x94272,x94271,x94274,x94275,x94273)),f775(f174(x94275,x94274,x94271),f396(x94272,x94271,x94274,x94275,x94273)))+E(f775(f775(x94271,x94272),f775(x94273,x94272)),f775(x94273,f775(a114,x94272)))
% 184.29/184.09 [9552]E(f775(f775(f140(x95521),f717(x95522,x95523,x95524,x95525,x95521)),f720(x95522,x95523,x95524,x95525,x95521)),x95525)+~P1(f775(f775(f334(f856(f851(x95521),f851(x95521))),f775(f775(f241(f851(x95521),f851(x95521)),x95525),f775(f775(f140(x95521),x95524),x95523))),f147(x95521,x95522)))
% 184.29/184.09 [9579]E(f775(f775(f140(x95791),f718(x95792,x95793,x95794,x95795,x95791)),f719(x95792,x95793,x95794,x95795,x95791)),x95793)+~P1(f775(f775(f334(f856(f851(x95791),f851(x95791))),f775(f775(f241(f851(x95791),f851(x95791)),f775(f775(f140(x95791),x95795),x95794)),x95793)),f147(x95791,x95792)))
% 184.29/184.09 [9711]~P1(f775(f775(f334(f856(f851(x97111),f851(x97111))),f775(f775(f241(f851(x97111),f851(x97111)),f775(f775(f140(x97111),x97115),x97112)),x97114)),f147(x97111,x97113)))+P1(f775(f775(f334(f856(f851(x97111),f851(x97111))),f775(f775(f241(f851(x97111),f851(x97111)),x97112),f719(x97113,x97114,x97112,x97115,x97111))),f147(x97111,x97113)))
% 184.29/184.09 [9796]~P1(f775(f775(f334(f856(f851(x97961),f851(x97961))),f775(f775(f241(f851(x97961),f851(x97961)),x97965),f775(f775(f140(x97961),x97964),x97963))),f147(x97961,x97962)))+P1(f775(f775(f334(f856(f851(x97961),f851(x97961))),f775(f775(f241(f851(x97961),f851(x97961)),f720(x97962,x97963,x97964,x97965,x97961)),x97963)),f147(x97961,x97962)))
% 184.29/184.09 [9969]P1(f775(f775(f334(f856(x99691,x99691)),f775(f775(f241(x99691,x99691),f775(x99692,f775(f775(f82(a850),x99693),x99694))),f775(x99692,x99693))),f300(x99691,x99695)))+~P1(f775(f775(f334(f856(x99691,x99691)),f775(f775(f241(x99691,x99691),f775(x99692,f775(a114,f637(x99694,x99693,x99695,x99692,x99691)))),f775(x99692,f637(x99694,x99693,x99695,x99692,x99691)))),f300(x99691,x99695)))
% 184.29/184.09 [9993]E(x99931,f2(a101))+E(f775(f229(f856(f851(x99932),x99933),f856(x99932,x99933),f775(f775(f241(f851(x99932),x99933),f115(x99932)),x99934),f775(f251(x99932,x99933,f856(f851(x99932),x99933)),f775(f775(f9(x99932,f857(x99933,f856(f851(x99932),x99933)),f857(x99933,f856(f851(x99932),x99933))),f775(f775(f10(f857(f856(f851(x99932),x99933),f856(f851(x99932),x99933)),f857(f857(x99933,f856(f851(x99932),x99933)),f857(x99933,f856(f851(x99932),x99933))),x99932),f10(f856(f851(x99932),x99933),f856(f851(x99932),x99933),x99933)),f775(f775(f10(f857(f851(x99932),f857(x99933,f856(f851(x99932),x99933))),f857(f856(f851(x99932),x99933),f856(f851(x99932),x99933)),x99932),f251(f851(x99932),x99933,f856(f851(x99932),x99933))),f775(f775(f10(f857(f851(x99932),f851(x99932)),f857(f851(x99932),f857(x99933,f856(f851(x99932),x99933))),x99932),f775(f10(f851(x99932),f857(x99933,f856(f851(x99932),x99933)),f851(x99932)),f241(f851(x99932),x99933))),f140(x99932))))),f119(x99933,x99932,x99935,f775(f775(f3(a101),x99931),f80(a101)))))),f775(x99935,x99934)),f775(f119(x99933,x99932,x99935,x99931),x99934))
% 184.29/184.09 [5122]E(x51221,x51222)+~E(f775(f775(f140(x51223),x51224),x51221),f775(f775(f140(x51223),x51225),x51222))
% 184.29/184.09 [5123]E(x51231,x51232)+~E(f775(f775(f140(x51233),x51231),x51234),f775(f775(f140(x51233),x51232),x51235))
% 184.29/184.09 [5317]~E(f775(f775(f128(x53171),x53173),x53172),f775(f775(f140(x53171),x53174),x53175))+E(f775(f775(f153(x53171),x53172),x53173),x53174)
% 184.29/184.09 [5450]~P19(x54504,x54505,x54501)+E(f775(f775(x54501,x54502),f775(f775(x54501,x54502),x54503)),f775(f775(x54501,x54502),x54503))
% 184.29/184.09 [6066]~P100(x60662)+~E(f775(f775(f138(x60661,x60662,x60663),x60664),x60665),f115(x60661))
% 184.29/184.09 [6465]E(x64651,x64652)+~E(f775(f775(f125(x64653),x64654),f775(f775(f140(x64653),x64651),f115(x64653))),f775(f775(f125(x64653),x64655),f775(f775(f140(x64653),x64652),f115(x64653))))
% 184.29/184.09 [6466]E(x64661,x64662)+~E(f775(f775(f125(x64663),x64661),f775(f775(f140(x64663),x64664),f115(x64663))),f775(f775(f125(x64663),x64662),f775(f775(f140(x64663),x64665),f115(x64663))))
% 184.29/184.09 [6730]E(f775(f172(x67301,x67302,x67303,x67304),x67305),f183(x67302))+P1(f775(f775(f334(x67301),x67305),x67304))
% 184.29/184.09 [6800]E(f775(f775(f302(x68001),f775(x68002,x68003)),f775(f303(x68004,x68001,x68002),x68005)),f775(f303(x68004,x68001,x68002),x68005))+~P1(f775(f775(f334(x68004),x68003),x68005))
% 184.29/184.09 [6809]~P1(f775(x68094,f775(x68093,x68095)))+P1(f775(f775(f305(x68091,x68092,x68093),x68094),x68095))
% 184.29/184.09 [6814]~E(x68144,f2(a101))+E(f775(f119(x68141,x68142,x68143,x68144),x68145),f775(f775(f241(f851(x68142),x68141),f115(x68142)),x68145))
% 184.29/184.09 [6908]~E(f775(f303(x69081,x69082,x69083),x69084),x69085)+E(f775(f303(f857(x69081,a844),f857(x69082,a844),f303(x69081,x69082,x69083)),f775(f301(x69081),x69084)),f775(f301(x69082),x69085))
% 184.29/184.09 [6940]E(f775(f172(x69401,x69402,x69403,x69404),x69405),f775(x69403,x69405))+~P1(f775(f775(f334(x69401),x69405),x69404))
% 184.29/184.09 [7256]P29(x72561,x72562,x72563,x72564)+~P29(x72561,x72562,x72563,f775(f775(f302(x72561),x72565),x72564))
% 184.29/184.09 [7327]P1(f775(x73271,x73272))+~P1(f775(f775(f94(x73273,x73274,x73271),x73275),x73272))
% 184.29/184.09 [7378]~P1(f775(f775(f334(x73784),x73783),x73785))+P1(f775(f775(f334(x73781),f775(x73782,x73783)),f775(f303(x73784,x73781,x73782),x73785)))
% 184.29/184.09 [7430]P1(f775(x74301,f775(x74302,x74303)))+~P1(f775(f775(f305(x74304,x74305,x74302),x74301),x74303))
% 184.29/184.09 [7431]P1(f775(f775(x74311,x74312),x74313))+~P1(f775(f775(f94(x74314,x74311,x74315),x74312),x74313))
% 184.29/184.09 [7500]~P1(f775(f775(f334(x75003),f775(x75004,x75002)),x75005))+P1(f775(f775(f334(x75001),x75002),f775(f305(x75001,x75003,x75004),x75005)))
% 184.29/184.09 [7899]~P1(f775(f775(f334(x78995),x78993),f775(f305(x78995,x78991,x78992),x78994)))+P1(f775(f775(f334(x78991),f775(x78992,x78993)),x78994))
% 184.29/184.09 [8117]~E(x81173,f775(f775(f775(f74(x81171,f854(x81172)),f775(f18(f854(x81172),x81171),f183(x81172))),x81174),f775(f227(x81172),x81175)))+E(f169(x81171,x81172,x81173),f775(f775(f302(x81171),x81174),f180(f857(x81171,a844))))
% 184.29/184.09 [8213]E(f775(x82131,f416(x82132,x82131,x82133,x82134)),x82134)+~P1(f775(f775(f334(x82135),x82134),f775(f303(x82133,x82135,x82131),x82132)))
% 184.29/184.09 [8465]P1(f775(f775(f334(f858(x84651,x84652)),f775(f313(x84652,x84651),x84653)),f314(x84651,x84652,x84654,x84655)))+~P1(f775(f775(f334(x84652),x84653),x84655))
% 184.29/184.09 [8466]P1(f775(f775(f334(f858(x84661,x84662)),f775(f304(x84661,x84662),x84663)),f314(x84661,x84662,x84664,x84665)))+~P1(f775(f775(f334(x84661),x84663),x84664))
% 184.29/184.09 [8523]~E(x85232,f775(f775(f140(x85231),x85234),x85235))+P1(f775(f775(f334(f856(f851(x85231),f851(x85231))),f775(f775(f241(f851(x85231),f851(x85231)),f115(x85231)),x85232)),f137(x85231,x85233)))
% 184.29/184.09 [8574]P1(f775(f775(f232(f857(x85741,a844)),f775(f775(f47(x85742,f857(x85741,a844)),x85743),x85744)),f775(x85744,x85745)))+~P1(f775(f775(f334(x85742),x85745),x85743))
% 184.29/184.09 [8620]~P55(x86201,x86202,x86203,x86205,x86204)+E(f775(f303(x86201,x86202,x86203),f239(f857(x86201,a844))),x86204)
% 184.29/184.09 [8809]E(f775(f775(f775(f74(x88091,f854(x88092)),f172(x88091,x88092,x88093,x88094)),x88095),f183(x88092)),f172(x88091,x88092,x88093,x88094))+P1(f775(f775(f334(x88091),x88095),x88094))
% 184.29/184.09 [8812]E(f775(x88121,f702(x88122,x88123,x88121,x88124,x88125)),x88122)+~E(f775(f775(f196(x88125,x88124),x88121),x88123),f775(f227(x88124),x88122))
% 184.29/184.09 [8815]E(f775(f227(x88151),f702(x88152,x88153,x88154,x88155,x88151)),x88153)+~E(f775(f775(f196(x88151,x88155),x88154),x88153),f775(f227(x88155),x88152))
% 184.29/184.09 [8899]E(f775(f181(f851(x88991)),x88992),x88993)+~P1(f775(f775(f334(f856(f851(x88991),f851(x88991))),f775(f775(f241(f851(x88991),f851(x88991)),x88994),x88992)),f775(f133(x88991,x88995),x88993)))
% 184.29/184.09 [8900]E(f775(f181(f851(x89001)),x89002),x89003)+~P1(f775(f775(f334(f856(f851(x89001),f851(x89001))),f775(f775(f241(f851(x89001),f851(x89001)),x89002),x89004)),f775(f133(x89001,x89005),x89003)))
% 184.29/184.09 [8961]P1(f775(f775(f334(x89611),f416(x89612,x89613,x89611,x89614)),x89612))+~P1(f775(f775(f334(x89615),x89614),f775(f303(x89611,x89615,x89613),x89612)))
% 184.29/184.09 [9114]E(f775(f303(x91141,x91142,x91143),f362(x91144,x91143,x91141,x91145,x91142)),x91145)+~P1(f775(f775(f232(f857(x91142,a844)),x91145),f775(f303(x91141,x91142,x91143),x91144)))
% 184.29/184.09 [9347]E(f775(x93471,f536(x93472,x93471,x93473,x93474,x93475)),f775(f227(x93475),x93474))+~P1(f775(f775(f334(x93475),x93474),f171(x93473,x93475,f172(x93473,x93475,x93471,x93472))))
% 184.29/184.09 [9391]P1(f775(f775(f334(f856(f851(x93911),f851(x93911))),f775(f775(f241(f851(x93911),f851(x93911)),f775(f775(f140(x93911),x93912),x93913)),f775(f775(f140(x93911),x93912),x93914))),f300(f851(x93911),f146(x93911,x93915))))+~P1(f775(f775(f334(f856(f851(x93911),f851(x93911))),f775(f775(f241(f851(x93911),f851(x93911)),x93913),x93914)),f300(f851(x93911),f146(x93911,x93915))))
% 184.29/184.09 [9420]~E(f775(x94203,f703(x94205,x94204,x94203,x94202,x94201)),f775(x94205,f703(x94205,x94204,x94203,x94202,x94201)))+E(f775(f775(f143(x94201,x94202),x94203),x94204),f775(f775(f143(x94201,x94202),x94205),x94204))
% 184.29/184.09 [9498]E(f775(f775(f143(x94981,x94982),x94983),x94984),f775(f775(f143(x94981,x94982),x94985),x94984))+P1(f775(f775(f334(x94981),f703(x94983,x94984,x94985,x94982,x94981)),f775(f158(x94981),x94984)))
% 184.29/184.09 [9526]~P1(f775(f775(f334(x95265),x95264),f775(f277(x95261,x95265,x95263),x95262)))+P1(f775(f775(f334(x95261),f488(x95262,x95263,x95261,x95264,x95265)),x95262))
% 184.29/184.09 [9527]~P1(f775(f775(f334(x95275),x95274),f775(f277(x95271,x95275,x95273),x95272)))+P1(f775(f775(f334(x95271),f534(x95272,x95273,x95271,x95274,x95275)),x95272))
% 184.29/184.09 [9550]~P1(f775(f775(f232(f857(x95505,a844)),x95504),f775(f303(x95501,x95505,x95503),x95502)))+P1(f775(f775(f232(f857(x95501,a844)),f362(x95502,x95503,x95501,x95504,x95505)),x95502))
% 184.29/184.09 [9594]~P1(f775(f775(f334(x95945),x95944),f171(x95941,x95945,f172(x95941,x95945,x95943,x95942))))+P1(f775(f775(f334(x95941),f536(x95942,x95943,x95941,x95944,x95945)),x95942))
% 184.29/184.09 [5331]~E(f775(x53313,x53314),x53315)+E(f775(f775(f775(f74(x53311,x53312),x53313),x53314),x53315),x53313)
% 184.29/184.09 [5780]E(f775(x57801,x57802),x57803)+~E(f775(f775(f775(f74(x57804,x57805),x57801),x57802),x57803),x57801)
% 184.29/184.09 [5869]E(x58691,x58692)+~E(f775(f250(x58693,x58694),f775(f775(f241(x58693,x58694),x58695),x58691)),x58692)
% 184.29/184.09 [5870]E(x58701,x58702)+~E(f775(f240(x58703,x58704),f775(f775(f241(x58703,x58704),x58701),x58705)),x58702)
% 184.29/184.09 [6553]E(f775(f303(x65531,x65532,f775(f18(x65532,x65531),x65533)),x65534),f775(f775(f302(x65532),x65533),f180(f857(x65532,a844))))+~P1(f775(f775(f334(x65531),x65535),x65534))
% 184.29/184.09 [6628]E(f775(f775(f103(f857(x66281,a844)),f775(f158(x66281),x66282)),f775(f158(x66281),x66283)),f775(f158(x66281),x66284))+~E(f156(x66281,x66285,x66284),f775(f775(f241(f851(x66281),f851(x66281)),x66282),x66283))
% 184.29/184.09 [6736]~P100(x67362)+E(f775(f181(f851(x67361)),f775(f775(f138(x67361,x67362,x67363),x67364),x67365)),f775(a114,f775(f181(f851(x67361)),x67365)))
% 184.29/184.09 [6751]~P100(x67512)+E(f775(f158(x67511),f775(f775(f138(x67511,x67512,x67513),x67514),x67515)),f775(f775(f302(x67511),x67514),f775(f158(x67511),x67515)))
% 184.29/184.09 [7031]~P85(x70311)+E(f775(f775(f82(x70311),f775(f775(f82(x70311),x70312),x70313)),f775(f775(f82(x70311),x70314),x70315)),f775(f775(f82(x70311),f775(f775(f82(x70311),x70312),x70314)),f775(f775(f82(x70311),x70313),x70315)))
% 184.29/184.09 [7032]~P85(x70321)+E(f775(f775(f83(x70321),f775(f775(f83(x70321),x70322),x70323)),f775(f775(f83(x70321),x70324),x70325)),f775(f775(f83(x70321),f775(f775(f83(x70321),x70322),x70324)),f775(f775(f83(x70321),x70323),x70325)))
% 184.29/184.09 [7033]~P60(x70331)+E(f775(f775(f283(x70331),f775(f775(f83(x70331),x70332),x70333)),f775(f775(f83(x70331),x70334),x70335)),f775(f775(f83(x70331),f775(f775(f283(x70331),x70332),x70334)),f775(f775(f283(x70331),x70333),x70335)))
% 184.29/184.09 [7047]~P100(x70471)+E(f295(x70471,f775(f775(f179(x70471),x70472),x70473),f775(f775(f236(x70471),x70474),x70475)),f775(f775(f104(f857(x70471,a844)),f295(x70471,x70472,x70474)),f295(x70471,x70473,x70475)))
% 184.29/184.09 [7048]~P100(x70481)+E(f297(x70481,f775(f775(f179(x70481),x70482),x70483),f775(f775(f236(x70481),x70484),x70485)),f775(f775(f104(f857(x70481,a844)),f297(x70481,x70482,x70484)),f297(x70481,x70483,x70485)))
% 184.29/184.09 [7049]~P100(x70491)+E(f298(x70491,f775(f775(f179(x70491),x70492),x70493),f775(f775(f236(x70491),x70494),x70495)),f775(f775(f104(f857(x70491,a844)),f298(x70491,x70492,x70494)),f298(x70491,x70493,x70495)))
% 184.29/184.09 [7050]~P100(x70501)+E(f775(f775(f104(f857(x70501,a844)),f775(f294(x70501,x70502),x70503)),f775(f294(x70501,x70504),x70505)),f775(f294(x70501,f775(f775(f179(x70501),x70502),x70504)),f775(f775(f236(x70501),x70503),x70505)))
% 184.29/184.09 [7168]~P1(f775(x71681,f824(x71683,x71682,x71681)))+P1(f775(x71681,f775(f775(f241(x71682,x71683),x71684),x71685)))
% 184.29/184.09 [7268]~E(f775(x72683,x72684),f183(x72682))+E(f171(x72681,x72682,f775(f775(f775(f74(x72681,f854(x72682)),x72683),x72684),f775(f227(x72682),x72685))),f775(f775(f302(x72682),x72685),f171(x72681,x72682,x72683)))
% 184.29/184.09 [7291]~E(x72912,f775(x72914,x72915))+P1(f775(f775(f334(x72911),x72912),f775(f303(x72913,x72911,x72914),f239(f857(x72913,a844)))))
% 184.29/184.09 [7352]~E(f775(x73523,x73524),f183(x73522))+E(f775(f775(f3(f857(x73521,a844)),f169(x73521,x73522,x73523)),f775(f775(f302(x73521),x73524),x73525)),f775(f775(f3(f857(x73521,a844)),f169(x73521,x73522,x73523)),x73525))
% 184.29/184.09 [7374]~P19(x73743,x73742,x73744)+P19(x73741,x73742,f775(f775(f10(x73743,f857(x73742,x73742),x73741),x73744),x73745))
% 184.29/184.09 [7375]~P20(x73753,x73752,x73754)+P20(x73751,x73752,f775(f775(f10(x73753,f857(x73752,x73752),x73751),x73754),x73755))
% 184.29/184.09 [7516]~P29(x75161,x75162,x75163,x75164)+P29(x75161,x75162,x75163,f775(f775(f3(f857(x75161,a844)),x75164),x75165))
% 184.29/184.09 [7676]~P1(f775(f775(x76763,x76764),x76765))+P1(f775(f775(f251(x76761,x76762,a844),x76763),f775(f775(f241(x76761,x76762),x76764),x76765)))
% 184.29/184.09 [7810]P29(x78101,x78102,x78103,x78104)+~P29(x78101,x78102,x78103,f775(f775(f103(f857(x78101,a844)),x78105),x78104))
% 184.29/184.09 [7811]P29(x78111,x78112,x78113,x78114)+~P29(x78111,x78112,x78113,f775(f775(f103(f857(x78111,a844)),x78114),x78115))
% 184.29/184.09 [8016]~P31(x80161,f775(a114,x80162),f775(f775(f775(f93(x80161),x80163),f775(a27,x80164)),x80165))+P31(x80161,x80162,f775(f775(f775(f93(x80161),x80163),f775(f231(a845),f775(a30,x80164))),x80165))
% 184.29/184.09 [8144]P31(x81441,f775(a114,x81442),f775(f775(f775(f93(x81441),x81443),f775(a27,x81444)),x81445))+~P31(x81441,x81442,f775(f775(f775(f93(x81441),x81443),f775(f231(a845),f775(a30,x81444))),x81445))
% 184.29/184.09 [8173]~P19(x81732,x81731,x81733)+E(f775(f132(x81731,x81732,f775(f9(x81732,x81731,x81731),x81733),x81734),x81735),f775(f775(f66(x81732,x81731,x81733),x81734),f775(f158(x81732),x81735)))
% 184.29/184.09 [8223]P1(f775(f775(x82231,x82232),x82233))+~P1(f775(f775(f251(x82234,x82235,a844),x82231),f775(f775(f241(x82234,x82235),x82232),x82233)))
% 184.29/184.09 [8294]P39(x82944,f841(x82945,x82944,x82943,x82942),x82942,f345(x82945,x82944,x82943,x82942))+P31(x82941,x82942,f775(f775(f775(f93(x82941),x82943),x82944),x82945))
% 184.29/184.09 [8310]~E(f775(f166(x83101,x83102,x83105),x83103),f775(f227(x83102),x83104))+P1(f775(f775(f334(f856(x83101,x83102)),f775(f775(f241(x83101,x83102),x83103),x83104)),f775(f158(f856(x83101,x83102)),x83105)))
% 184.29/184.09 [8673]P1(f775(f775(f232(f857(x86731,a844)),f775(f303(x86732,x86731,x86733),x86734)),f775(f303(x86732,x86731,x86733),x86735)))+~P1(f775(f775(f232(f857(x86732,a844)),x86734),x86735))
% 184.29/184.09 [8674]P1(f775(f775(f232(f857(x86741,a844)),f775(f305(x86741,x86742,x86743),x86744)),f775(f305(x86741,x86742,x86743),x86745)))+~P1(f775(f775(f232(f857(x86742,a844)),x86744),x86745))
% 184.29/184.09 [8745]E(x87451,f2(a101))+E(f775(f775(f253(x87452,x87453,x87452,f856(x87453,x87452)),f775(x87454,x87455)),f268(x87453,x87452,f775(f775(f3(a101),x87451),f80(a101)),x87454)),f775(f268(x87453,x87452,x87451,x87454),x87455))
% 184.29/184.09 [8831]P1(f775(f775(f249(x88311,x88312,a844,x88313),x88314),x88315))+~P1(f775(x88313,f775(f775(f241(x88311,x88312),x88314),x88315)))
% 184.29/184.09 [9032]P31(x90321,x90322,f775(f775(f775(f93(x90321),x90323),x90324),x90325))+P1(f775(f775(x90323,f834(x90325,x90324,x90323,x90322)),f841(x90325,x90324,x90323,x90322)))
% 184.29/184.09 [9093]~P1(f775(f775(f249(x90932,x90933,a844,x90931),x90934),x90935))+P1(f775(x90931,f775(f775(f241(x90932,x90933),x90934),x90935)))
% 184.29/184.09 [9202]E(f775(f227(x92021),f714(x92022,x92023,x92024,x92021,x92025)),f775(f166(x92025,x92021,x92022),x92024))+~P1(f775(f775(f334(f856(x92025,x92021)),f775(f775(f241(x92025,x92021),x92024),x92023)),f775(f158(f856(x92025,x92021)),x92022)))
% 184.29/184.09 [9245]P31(x92451,x92452,f775(f775(f775(f93(x92451),x92453),x92454),x92455))+~P1(f775(f775(x92455,f834(x92455,x92454,x92453,x92452)),f345(x92455,x92454,x92453,x92452)))
% 184.29/184.09 [9312]~P28(x93121,x93122,f775(f775(f302(f849(x93121)),f775(f775(f775(f93(x93121),x93123),f775(f231(a845),f775(a30,x93124))),x93125)),f180(f857(f849(x93121),a844))))+P28(x93121,x93122,f775(f775(f302(f849(x93121)),f775(f775(f775(f93(x93121),x93123),f775(a27,x93124)),x93125)),f180(f857(f849(x93121),a844))))
% 184.29/184.09 [9339]~P1(f775(f63(x93393),f775(f303(x93392,x93393,x93395),f239(f857(x93392,a844)))))+P1(f775(f63(x93391),f775(f303(x93392,x93391,f775(f775(f10(x93393,x93391,x93392),x93394),x93395)),f239(f857(x93392,a844)))))
% 184.29/184.09 [9361]P1(f775(f775(f232(f857(f857(x93611,a844),a844)),f775(f303(f857(x93612,a844),f857(x93611,a844),f303(x93612,x93611,x93613)),f775(f301(x93612),x93614))),f775(f301(x93611),x93615)))+~P1(f775(f775(f232(f857(x93611,a844)),f775(f303(x93612,x93611,x93613),x93614)),x93615))
% 184.29/184.09 [9371]~P1(f775(f63(f854(x93711)),f775(f303(x93712,f854(x93711),x93713),f239(f857(x93712,a844)))))+P1(f775(f63(f854(x93711)),f775(f303(x93712,f854(x93711),f775(f775(f775(f74(x93712,f854(x93711)),x93713),x93714),f775(f227(x93711),x93715))),f239(f857(x93712,a844)))))
% 184.29/184.09 [9430]E(x94301,x94302)+~P1(f775(f68(x94303,x94304,x94305,x94301,f180(f857(x94303,a844))),x94302))
% 184.29/184.09 [9443]E(f775(f775(f241(x94431,x94432),f569(x94433,x94434,x94435,x94432,x94431)),f570(x94433,x94434,x94435,x94432,x94431)),x94435)+~P1(f775(f775(f334(f856(x94431,x94432)),x94435),f775(f775(f248(x94431,x94432),x94434),x94433)))
% 184.29/184.09 [9531]P1(f775(f775(f334(x95311),f569(x95312,x95313,x95314,x95315,x95311)),x95313))+~P1(f775(f775(f334(f856(x95311,x95315)),x95314),f775(f775(f248(x95311,x95315),x95313),x95312)))
% 184.29/184.09 [9627]P28(x96275,x96274,f775(f775(f302(f849(x96275)),f775(f775(f775(f93(x96275),x96271),x96273),x96272)),f180(f857(f849(x96275),a844))))+P1(f775(f775(x96271,f484(x96272,x96273,x96274,x96275,x96271)),f485(x96272,x96273,x96274,x96275,x96271)))
% 184.29/184.09 [9669]P1(f775(f775(f334(x96691),f570(x96692,x96693,x96694,x96691,x96695)),f775(x96692,f569(x96692,x96693,x96694,x96691,x96695))))+~P1(f775(f775(f334(f856(x96695,x96691)),x96694),f775(f775(f248(x96695,x96691),x96693),x96692)))
% 184.29/184.09 [9688]P1(f775(f775(f334(f856(x96881,x96881)),f775(f775(f241(x96881,x96881),x96882),f658(x96883,x96884,x96885,x96882,x96881))),x96883))+~P1(f775(f775(f334(f856(x96881,x96881)),f775(f775(f241(x96881,x96881),x96882),x96885)),f775(f775(f173(f856(x96881,x96881),a844),f775(a114,x96884)),x96883)))
% 184.29/184.09 [9689]P1(f775(f775(f334(f856(x96891,x96891)),f775(f775(f241(x96891,x96891),x96892),f660(x96893,x96894,x96895,x96892,x96891))),x96893))+~P1(f775(f775(f334(f856(x96891,x96891)),f775(f775(f241(x96891,x96891),x96892),x96895)),f775(f775(f173(f856(x96891,x96891),a844),f775(a114,x96894)),x96893)))
% 184.29/184.09 [9707]~P1(f775(f775(f334(f856(f851(x97071),f851(x97071))),f775(f775(f241(f851(x97071),f851(x97071)),f775(f775(f140(x97071),x97072),x97075)),x97074)),f147(x97071,x97073)))+P1(f775(f775(f334(f856(x97071,x97071)),f775(f775(f241(x97071,x97071),x97072),f718(x97073,x97074,x97075,x97072,x97071))),x97073))
% 184.29/184.09 [9709]~P28(x97091,x97092,f775(f775(f302(f849(x97091)),f775(f775(f775(f93(x97091),f94(x97091,x97093,x97094)),x97095),x97093)),f180(f857(f849(x97091),a844))))+P28(x97091,x97092,f775(f775(f302(f849(x97091)),f775(f775(f775(f93(x97091),x97093),f35(x97094,x97095)),f94(x97091,x97093,f775(f75(a844,a844,a847,a328),x97094)))),f180(f857(f849(x97091),a844))))
% 184.29/184.09 [9994]P28(x99941,x99942,f775(f775(f302(f849(x99941)),f775(f775(f775(f93(x99941),x99943),x99944),x99945)),f180(f857(f849(x99941),a844))))+~P28(x99941,x99942,f775(f775(f302(f849(x99941)),f775(f775(f775(f93(x99941),f775(f18(f857(a847,a844),x99941),f775(f775(f9(a847,a847,a844),a330),f485(x99945,x99944,x99942,x99941,x99943)))),x99944),f775(f18(f857(a847,a844),x99941),f775(x99945,f484(x99945,x99944,x99942,x99941,x99943))))),f180(f857(f849(x99941),a844))))
% 184.29/184.09 [6217]P1(f775(x62172,x62174))+E(f162(x62171,x62172,f775(f775(f125(x62171),x62173),f775(f775(f140(x62171),x62174),x62175))),f162(x62171,x62172,x62173))
% 184.29/184.09 [6267]~P71(x62672)+E(f775(f775(f775(f3(f857(x62671,x62672)),x62673),x62674),x62675),f775(f775(f3(x62672),f775(x62673,x62675)),f775(x62674,x62675)))
% 184.29/184.09 [6269]~P93(x62692)+E(f775(f775(f775(f103(f857(x62691,x62692)),x62693),x62694),x62695),f775(f775(f103(x62692),f775(x62693,x62695)),f775(x62694,x62695)))
% 184.29/184.09 [6271]~P93(x62712)+E(f775(f775(f775(f104(f857(x62711,x62712)),x62713),x62714),x62715),f775(f775(f104(x62712),f775(x62713,x62715)),f775(x62714,x62715)))
% 184.29/184.09 [6293]E(x62931,x62932)+E(f775(f775(f153(x62933),f775(f775(f148(x62933,x62934),x62931),x62935)),x62932),f775(f775(f153(x62933),x62934),x62932))
% 184.29/184.09 [6570]~E(x65704,f180(f857(x65703,a844)))+E(f775(f775(f3(f857(x65701,a844)),x65702),f775(f775(f46(x65703,f857(x65701,a844)),x65704),x65705)),x65702)
% 184.29/184.09 [6571]~E(x65714,f180(f857(x65713,a844)))+E(f775(f775(f103(f857(x65711,a844)),x65712),f775(f775(f46(x65713,f857(x65711,a844)),x65714),x65715)),x65712)
% 184.29/184.09 [6572]~E(x65724,f180(f857(x65723,a844)))+E(f775(f775(f104(f857(x65721,a844)),x65722),f775(f775(f47(x65723,f857(x65721,a844)),x65724),x65725)),x65722)
% 184.29/184.09 [6586]~E(x65864,f180(f857(x65863,a844)))+E(f775(f775(f302(x65861),x65862),f775(f775(f46(x65863,f857(x65861,a844)),x65864),x65865)),f775(f775(f302(x65861),x65862),f180(f857(x65861,a844))))
% 184.29/184.09 [7419]E(f775(f775(f153(x74191),f775(f775(f143(x74192,x74191),x74193),x74194)),x74195),f775(x74193,f775(f775(f153(x74192),x74194),x74195)))+~P1(f775(f775(f233(a850),x74195),f775(f181(f851(x74192)),x74194)))
% 184.29/184.09 [7488]E(f775(f775(f103(f857(x74881,a844)),f775(x74882,x74883)),f775(f775(f46(x74884,f857(x74881,a844)),x74885),x74882)),f775(f775(f46(x74884,f857(x74881,a844)),x74885),x74882))+~P1(f775(f775(f334(x74884),x74883),x74885))
% 184.29/184.09 [7489]E(f775(f775(f104(f857(x74891,a844)),f775(x74892,x74893)),f775(f775(f47(x74894,f857(x74891,a844)),x74895),x74892)),f775(f775(f47(x74894,f857(x74891,a844)),x74895),x74892))+~P1(f775(f775(f334(x74894),x74893),x74895))
% 184.29/184.09 [8092]~E(x80923,f180(f857(x80921,a844)))+E(f775(f775(f46(x80921,f857(x80922,a844)),x80923),f775(f775(f10(f857(x80922,a844),f857(x80922,a844),x80921),f775(f302(x80922),x80924)),x80925)),f180(f857(x80922,a844)))
% 184.29/184.09 [8098]~P1(f775(f775(f334(x80984),x80983),x80985))+P1(f775(f775(f232(f857(x80981,a844)),f775(x80982,x80983)),f775(f775(f46(x80984,f857(x80981,a844)),x80985),x80982)))
% 184.29/184.09 [8222]~E(f775(x82224,x82222),x82225)+P1(f775(f775(f334(x82221),x82222),f775(f305(x82221,x82223,x82224),f775(f775(f302(x82223),x82225),f180(f857(x82223,a844))))))
% 184.29/184.09 [8268]~P53(x82681,x82682,f775(f278(x82682,x82681),x82683))+E(f775(f775(f104(f857(x82681,a844)),f775(f277(x82682,x82681,x82683),x82684)),f775(f277(x82682,x82681,x82683),x82685)),f775(f277(x82682,x82681,x82683),f775(f775(f104(f857(x82682,a844)),x82684),x82685)))
% 184.29/184.09 [8293]E(x82931,f2(a101))+E(f118(x82932,x82933,f775(x82934,f775(f775(f3(a101),x82931),f80(a101))),f775(f775(f9(x82932,a101,f852(x82933)),x82935),x82931)),f775(f193(x82932,x82933,x82934,x82935),x82931))
% 184.29/184.09 [8389]E(x83891,f180(f857(x83892,a844)))+E(f775(f775(f46(x83892,f857(x83893,a844)),x83891),f775(f775(f10(f857(x83893,a844),f857(x83893,a844),x83892),f775(f302(x83893),x83894)),x83895)),f775(f775(f302(x83893),x83894),f775(f775(f46(x83892,f857(x83893,a844)),x83891),x83895)))
% 184.29/184.09 [8443]~P29(x84432,x84431,x84433,f239(f857(x84432,a844)))+E(f775(f775(f3(f857(x84431,a844)),f775(f303(x84432,x84431,x84433),x84434)),f775(f303(x84432,x84431,x84433),x84435)),f775(f303(x84432,x84431,x84433),f775(f775(f3(f857(x84432,a844)),x84434),x84435)))
% 184.29/184.09 [8444]~P29(x84442,x84441,x84443,f239(f857(x84442,a844)))+E(f775(f775(f104(f857(x84441,a844)),f775(f303(x84442,x84441,x84443),x84444)),f775(f303(x84442,x84441,x84443),x84445)),f775(f303(x84442,x84441,x84443),f775(f775(f104(f857(x84442,a844)),x84444),x84445)))
% 184.29/184.09 [8511]~P1(f775(f775(f69(x85111,x85112,x85115),x85113),x85114))+P1(f775(f775(f334(f856(x85111,x85112)),f775(f775(f241(x85111,x85112),x85113),x85114)),x85115))
% 184.29/184.09 [8539]P1(f775(f775(f334(x85391),x85392),f775(f259(x85393,x85391),x85394)))+~P1(f775(f775(f334(f856(x85393,x85391)),f775(f775(f241(x85393,x85391),x85395),x85392)),x85394))
% 184.29/184.09 [8541]P1(f775(f775(f334(x85411),x85412),f775(f261(x85411,x85413),x85414)))+~P1(f775(f775(f334(f856(x85411,x85413)),f775(f775(f241(x85411,x85413),x85412),x85415)),x85414))
% 184.29/184.09 [8662]P1(f775(f775(f69(x86621,x86622,x86623),x86624),x86625))+~P1(f775(f775(f334(f856(x86621,x86622)),f775(f775(f241(x86621,x86622),x86624),x86625)),x86623))
% 184.29/184.09 [8695]E(f775(x86951,x86952),x86953)+~P1(f775(f775(f334(x86954),x86952),f775(f305(x86954,x86955,x86951),f775(f775(f302(x86955),x86953),f180(f857(x86955,a844))))))
% 184.29/184.09 [8896]P1(f775(f775(f334(f856(x88961,x88962)),f775(f775(f241(x88961,x88962),x88963),x88964)),f775(f278(x88962,x88961),x88965)))+~P1(f775(f775(f334(f856(x88962,x88961)),f775(f775(f241(x88962,x88961),x88964),x88963)),x88965))
% 184.29/184.09 [8914]~P1(f775(f775(x89141,x89145),x89144))+P1(f775(f775(x89141,f775(f250(x89142,x89143),f775(f775(f241(x89142,x89143),x89144),x89145))),f775(f240(x89142,x89143),f775(f775(f241(x89142,x89143),x89144),x89145))))
% 184.29/184.09 [8941]~P1(f775(f775(f334(f856(x89412,x89411)),f775(f775(f241(x89412,x89411),x89414),x89413)),f775(f278(x89411,x89412),x89415)))+P1(f775(f775(f334(f856(x89411,x89412)),f775(f775(f241(x89411,x89412),x89413),x89414)),x89415))
% 184.29/184.09 [8969]~P1(f775(f775(f334(f856(x89693,x89691)),f775(f775(f241(x89693,x89691),x89695),x89692)),x89694))+P1(f775(f775(f334(x89691),x89692),f775(f277(x89693,x89691,x89694),f775(f775(f302(x89693),x89695),f180(f857(x89693,a844))))))
% 184.29/184.09 [9016]P1(f775(f775(f334(f856(x90161,x90162)),f775(f775(f241(x90161,x90162),x90163),x90164)),x90165))+~P1(f775(f775(f334(x90162),x90164),f775(f277(x90161,x90162,x90165),f775(f775(f302(x90161),x90163),f180(f857(x90161,a844))))))
% 184.29/184.09 [9035]E(f775(f775(f775(f74(x90351,f854(x90352)),f172(x90351,x90352,x90353,x90354)),x90355),f183(x90352)),f172(x90351,x90352,x90353,f775(f775(f3(f857(x90351,a844)),x90354),f775(f775(f302(x90351),x90355),f180(f857(x90351,a844))))))+~P1(f775(f775(f334(x90351),x90355),x90354))
% 184.29/184.09 [9099]~P66(x90991)+E(f775(f775(f8(a850,x90991),x90992),f295(a850,f775(f775(f82(a850),x90993),x90994),f775(f775(f82(a850),x90995),x90994))),f775(f775(f8(a850,x90991),f775(f775(f10(a850,x90991,a850),x90992),f775(f775(f9(a850,a850,a850),f82(a850)),x90994))),f295(a850,x90993,x90995)))
% 184.29/184.09 [9118]~P66(x91181)+E(f775(f775(f8(a850,x91181),x91182),f775(f294(a850,f775(f775(f82(a850),x91183),x91184)),f775(f775(f82(a850),x91185),x91184))),f775(f775(f8(a850,x91181),f775(f775(f10(a850,x91181,a850),x91182),f775(f775(f9(a850,a850,a850),f82(a850)),x91184))),f775(f294(a850,x91183),x91185)))
% 184.29/184.09 [9327]P1(f775(f775(f334(f856(f851(x93271),f851(x93271))),f775(f775(f241(f851(x93271),f851(x93271)),f775(f775(f140(x93271),x93272),x93273)),f775(f775(f140(x93271),x93274),x93273))),f146(x93271,x93275)))+~P1(f775(f775(f334(f856(x93271,x93271)),f775(f775(f241(x93271,x93271),x93272),x93274)),x93275))
% 184.29/184.09 [9428]P28(x94281,x94282,f775(f775(f302(f849(x94281)),f775(f775(f775(f93(x94281),x94283),f775(a27,x94284)),x94285)),f180(f857(f849(x94281),a844))))+~P28(x94281,f775(f775(f302(f849(x94281)),f775(f775(f775(f93(x94281),x94283),f775(a27,x94284)),x94285)),x94282),f775(f775(f302(f849(x94281)),f775(f775(f775(f93(x94281),x94283),f775(f231(a845),f775(a30,x94284))),x94285)),f180(f857(f849(x94281),a844))))
% 184.29/184.09 [9439]E(f775(f775(f302(x94391),f540(x94392,x94393,x94394,x94395,x94391)),f545(x94392,x94393,x94394,x94395,x94391)),f775(f775(f302(x94391),x94394),x94393))+~P1(f775(f64(x94391,x94395,f775(f775(f302(x94391),x94394),x94393)),x94392))
% 184.29/184.09 [9440]E(f775(f775(f302(x94401),f546(x94402,x94403,x94404,x94405,x94401)),f551(x94402,x94403,x94404,x94405,x94401)),f775(f775(f302(x94401),x94404),x94403))+~P1(f775(f64(x94401,x94405,f775(f775(f302(x94401),x94404),x94403)),x94402))
% 184.29/184.09 [9517]P1(f775(f775(f334(x95171),f666(x95172,x95173,x95174,x95175,x95171)),x95174))+P1(f775(f775(f775(f47(x95171,f857(x95175,a844)),x95174),x95173),x95172))
% 184.29/184.09 [9522]P1(f775(f775(f334(x95221),f665(x95222,x95223,x95221,x95224,x95225)),x95223))+P1(f775(f775(f334(x95225),x95224),f775(f775(f47(x95221,f857(x95225,a844)),x95223),x95222)))
% 184.29/184.09 [9530]P1(f775(f775(f334(x95301),f667(x95302,x95303,x95301,x95304,x95305)),x95303))+P1(f775(f775(f232(f857(x95305,a844)),x95304),f775(f775(f47(x95301,f857(x95305,a844)),x95303),x95302)))
% 184.29/184.09 [9532]P1(f775(f775(x95321,f386(x95322,x95321,x95323,x95324,x95325)),x95322))+~P1(f775(f775(f775(f46(x95325,f857(x95324,a844)),x95323),x95321),x95322))
% 184.29/184.09 [9534]P1(f775(f775(f334(x95341),f386(x95342,x95343,x95344,x95345,x95341)),x95344))+~P1(f775(f775(f775(f46(x95341,f857(x95345,a844)),x95344),x95343),x95342))
% 184.29/184.09 [9544]P1(f775(f775(f334(x95441),f417(x95442,x95443,x95441,x95444,x95445)),x95443))+~P1(f775(f775(f334(x95445),x95444),f775(f775(f46(x95441,f857(x95445,a844)),x95443),x95442)))
% 184.29/184.09 [9549]P1(f775(f775(f334(x95491),x95492),f775(x95493,f417(x95493,x95494,x95495,x95492,x95491))))+~P1(f775(f775(f334(x95491),x95492),f775(f775(f46(x95495,f857(x95491,a844)),x95494),x95493)))
% 184.29/184.09 [9631]~P1(f775(f775(x96314,f666(x96315,x96314,x96313,x96312,x96311)),x96315))+P1(f775(f775(f775(f47(x96311,f857(x96312,a844)),x96313),x96314),x96315))
% 184.29/184.09 [9634]~P1(f775(f775(f334(x96341),x96342),f775(x96345,f665(x96345,x96344,x96343,x96342,x96341))))+P1(f775(f775(f334(x96341),x96342),f775(f775(f47(x96343,f857(x96341,a844)),x96344),x96345)))
% 184.29/184.09 [9637]~P1(f775(f775(f232(f857(x96371,a844)),x96372),f775(x96375,f667(x96375,x96374,x96373,x96372,x96371))))+P1(f775(f775(f232(f857(x96371,a844)),x96372),f775(f775(f47(x96373,f857(x96371,a844)),x96374),x96375)))
% 184.29/184.09 [9692]~P1(f775(f775(f334(x96921),f540(x96925,x96924,x96923,x96922,x96921)),f545(x96925,x96924,x96923,x96922,x96921)))+~P1(f775(f64(x96921,x96922,f775(f775(f302(x96921),x96923),x96924)),x96925))
% 184.29/184.09 [9693]~P1(f775(f775(f334(x96931),f546(x96935,x96934,x96933,x96932,x96931)),f551(x96935,x96934,x96933,x96932,x96931)))+~P1(f775(f64(x96931,x96932,f775(f775(f302(x96931),x96933),x96934)),x96935))
% 184.29/184.09 [9694]~P1(f775(f775(f334(f856(x96941,x96941)),f775(f775(f241(x96941,x96941),x96942),x96945)),f775(f775(f173(f856(x96941,x96941),a844),f775(a114,x96944)),x96943)))+P1(f775(f775(f334(f856(x96941,x96941)),f775(f775(f241(x96941,x96941),x96942),f659(x96943,x96944,x96945,x96942,x96941))),f775(f775(f173(f856(x96941,x96941),a844),x96944),x96943)))
% 184.29/184.09 [9701]P1(f775(f68(x97011,x97011,x97012,f540(x97013,x97014,x97015,x97012,x97011),f545(x97013,x97014,x97015,x97012,x97011)),x97013))+~P1(f775(f64(x97011,x97012,f775(f775(f302(x97011),x97015),x97014)),x97013))
% 184.29/184.09 [9702]P1(f775(f68(x97021,x97021,x97022,f546(x97023,x97024,x97025,x97022,x97021),f551(x97023,x97024,x97025,x97022,x97021)),x97023))+~P1(f775(f64(x97021,x97022,f775(f775(f302(x97021),x97025),x97024)),x97023))
% 184.29/184.09 [9713]~P100(x97131)+P18(x97131,f775(f775(f143(x97132,x97131),x97133),f775(f126(x97132,f775(f775(f9(x97132,x97131,a844),f775(f775(f10(x97131,f857(x97131,a844),x97132),a330),x97133)),f775(x97134,x97135))),x97135)))
% 184.29/184.09 [9768]~P1(f775(f775(f334(x97682),x97685),f775(f277(x97681,x97682,x97684),x97683)))+P1(f775(f775(f334(f856(x97681,x97682)),f775(f775(f241(x97681,x97682),f488(x97683,x97684,x97681,x97685,x97682)),x97685)),x97684))
% 184.29/184.09 [9769]~P1(f775(f775(f334(x97692),x97695),f775(f277(x97691,x97692,x97694),x97693)))+P1(f775(f775(f334(f856(x97691,x97692)),f775(f775(f241(x97691,x97692),f534(x97693,x97694,x97691,x97695,x97692)),x97695)),x97694))
% 184.29/184.09 [9789]~P1(f775(f775(f334(f856(x97891,x97891)),f775(f775(f241(x97891,x97891),x97895),x97894)),f775(f775(f173(f856(x97891,x97891),a844),f775(a114,x97893)),x97892)))+P1(f775(f775(f334(f856(x97891,x97891)),f775(f775(f241(x97891,x97891),f659(x97892,x97893,x97894,x97895,x97891)),x97894)),x97892))
% 184.29/184.09 [9792]~P1(f775(f775(f334(f856(x97921,x97921)),f775(f775(f241(x97921,x97921),x97925),x97924)),f775(f775(f173(f856(x97921,x97921),a844),f775(a114,x97923)),x97922)))+P1(f775(f775(f334(f856(x97921,x97921)),f775(f775(f241(x97921,x97921),f658(x97922,x97923,x97924,x97925,x97921)),x97924)),f775(f775(f173(f856(x97921,x97921),a844),x97923),x97922)))
% 184.29/184.09 [9793]~P1(f775(f775(f334(f856(x97931,x97931)),f775(f775(f241(x97931,x97931),x97935),x97934)),f775(f775(f173(f856(x97931,x97931),a844),f775(a114,x97933)),x97932)))+P1(f775(f775(f334(f856(x97931,x97931)),f775(f775(f241(x97931,x97931),f660(x97932,x97933,x97934,x97935,x97931)),x97934)),f775(f775(f173(f856(x97931,x97931),a844),x97933),x97932)))
% 184.29/184.09 [9794]~P1(f775(f775(f334(f856(f851(x97941),f851(x97941))),f775(f775(f241(f851(x97941),f851(x97941)),x97945),f775(f775(f140(x97941),x97944),x97943))),f147(x97941,x97942)))+P1(f775(f775(f334(f856(x97941,x97941)),f775(f775(f241(x97941,x97941),f717(x97942,x97943,x97944,x97945,x97941)),x97944)),x97942))
% 184.29/184.09 [6989]E(x69891,f183(x69892))+E(f169(x69893,x69892,f775(f775(f775(f74(x69893,f854(x69892)),x69894),x69895),x69891)),f775(f775(f302(x69893),x69895),f169(x69893,x69892,x69894)))
% 184.29/184.09 [7509]~E(x75093,f180(f857(x75092,a844)))+E(f775(f775(f103(f857(x75091,a844)),f775(f775(f46(x75092,f857(x75091,a844)),x75093),x75094)),x75095),x75095)
% 184.29/184.09 [7510]~E(x75103,f180(f857(x75102,a844)))+E(f775(f775(f104(f857(x75101,a844)),f775(f775(f47(x75102,f857(x75101,a844)),x75103),x75104)),x75105),x75105)
% 184.29/184.09 [7872]~E(x78725,f183(x78722))+E(f169(x78721,x78722,f775(f775(f775(f74(x78721,f854(x78722)),x78723),x78724),x78725)),f775(f775(f3(f857(x78721,a844)),f169(x78721,x78722,x78723)),f775(f775(f302(x78721),x78724),f180(f857(x78721,a844)))))
% 184.29/184.09 [7942]~E(x79423,f180(f857(x79422,a844)))+E(f775(f775(f3(f857(x79421,a844)),f775(f775(f47(x79422,f857(x79421,a844)),x79423),x79424)),x79425),f775(f775(f3(f857(x79421,a844)),f239(f857(x79421,a844))),x79425))
% 184.29/184.09 [8070]E(f775(f775(f148(x80701,f775(f775(f125(x80701),x80702),x80703)),x80704),x80705),f775(f775(f125(x80701),f775(f775(f148(x80701,x80702),x80704),x80705)),x80703))+~P1(f775(f775(f233(a850),x80704),f775(f181(f851(x80701)),x80702)))
% 184.29/184.09 [8200]P1(f775(f775(f334(x82001),x82005),f775(f158(x82001),x82003)))+E(f775(f166(x82001,x82002,f775(f775(f167(x82001,x82002),x82003),f775(f775(f143(x82001,x82002),x82004),x82003))),x82005),f183(x82002))
% 184.29/184.09 [8308]~P1(f775(f775(f334(x83081),x83085),f775(f158(x83081),x83083)))+E(f775(f166(x83081,x83082,f775(f775(f167(x83081,x83082),x83083),f775(f775(f143(x83081,x83082),x83084),x83083))),x83085),f775(f227(x83082),f775(x83084,x83085)))
% 184.29/184.09 [8339]E(f775(f775(f153(x83391),f775(f775(f143(a850,x83391),x83392),f130(a850,f775(f294(a850,x83393),x83394)))),x83395),f775(x83392,f775(f775(f82(a850),x83393),x83395)))+~P1(f775(f775(f233(a850),x83395),f775(f775(f3(a850),x83394),x83393)))
% 184.29/184.09 [8352]E(x83521,f2(a101))+E(f121(x83522,x83523,f775(x83524,f775(f775(f3(a101),x83521),f80(a101))),f775(f775(f9(x83522,a101,f852(f854(x83523))),x83525),x83521)),f775(f191(x83522,x83523,x83524,x83525),x83521))
% 184.29/184.09 [8376]~E(x83763,f180(f857(x83761,a844)))+E(f775(f775(f46(x83761,f857(x83762,a844)),x83763),f775(f775(f10(f857(x83762,a844),f857(x83762,a844),x83761),f775(f103(f857(x83762,a844)),x83764)),x83765)),f180(f857(x83762,a844)))
% 184.29/184.09 [8377]~E(x83773,f180(f857(x83771,a844)))+E(f775(f775(f47(x83771,f857(x83772,a844)),x83773),f775(f775(f10(f857(x83772,a844),f857(x83772,a844),x83771),f775(f3(f857(x83772,a844)),x83774)),x83775)),f239(f857(x83772,a844)))
% 184.29/184.09 [8378]~E(x83783,f180(f857(x83781,a844)))+E(f775(f775(f47(x83781,f857(x83782,a844)),x83783),f775(f775(f10(f857(x83782,a844),f857(x83782,a844),x83781),f775(f104(f857(x83782,a844)),x83784)),x83785)),f239(f857(x83782,a844)))
% 184.29/184.09 [8383]~P136(x83832)+E(f775(f775(f8(x83831,x83832),f775(f775(f10(x83832,x83832,x83831),f775(f83(x83832),x83833)),x83834)),x83835),f775(f775(f83(x83832),x83833),f775(f775(f8(x83831,x83832),x83834),x83835)))
% 184.29/184.09 [8647]E(x86471,f180(f857(x86472,a844)))+E(f775(f775(f46(x86472,f857(x86473,a844)),x86471),f775(f775(f10(f857(x86473,a844),f857(x86473,a844),x86472),f775(f103(f857(x86473,a844)),x86474)),x86475)),f775(f775(f103(f857(x86473,a844)),x86474),f775(f775(f46(x86472,f857(x86473,a844)),x86471),x86475)))
% 184.29/184.09 [8648]E(x86481,f180(f857(x86482,a844)))+E(f775(f775(f47(x86482,f857(x86483,a844)),x86481),f775(f775(f10(f857(x86483,a844),f857(x86483,a844),x86482),f775(f3(f857(x86483,a844)),x86484)),x86485)),f775(f775(f3(f857(x86483,a844)),x86484),f775(f775(f46(x86482,f857(x86483,a844)),x86481),x86485)))
% 184.29/184.09 [8649]E(x86491,f180(f857(x86492,a844)))+E(f775(f775(f47(x86492,f857(x86493,a844)),x86491),f775(f775(f10(f857(x86493,a844),f857(x86493,a844),x86492),f775(f104(f857(x86493,a844)),x86494)),x86495)),f775(f775(f104(f857(x86493,a844)),x86494),f775(f775(f47(x86492,f857(x86493,a844)),x86491),x86495)))
% 184.29/184.09 [9068]~P29(x90682,x90681,x90683,f775(f775(f103(f857(x90682,a844)),x90684),x90685))+E(f775(f775(f104(f857(x90681,a844)),f775(f303(x90682,x90681,x90683),f775(f775(f3(f857(x90682,a844)),x90684),x90685))),f775(f303(x90682,x90681,x90683),f775(f775(f3(f857(x90682,a844)),x90685),x90684))),f180(f857(x90681,a844)))
% 184.29/184.09 [9323]~P1(f775(f775(f232(f857(x93233,a844)),f775(f277(x93231,x93233,x93234),x93232)),x93235))+P1(f775(f775(f232(f857(x93231,a844)),x93232),f775(f81(f857(x93231,a844)),f775(f277(x93233,x93231,f775(f278(x93231,x93233),x93234)),f775(f81(f857(x93233,a844)),x93235)))))
% 184.29/184.09 [9346]~P29(x93461,x93462,x93463,f775(f775(f302(x93461),x93464),x93465))+~P1(f775(f775(f334(x93462),f775(x93463,x93464)),f775(f303(x93461,x93462,x93463),f775(f775(f3(f857(x93461,a844)),x93465),f775(f775(f302(x93461),x93464),f180(f857(x93461,a844)))))))
% 184.29/184.09 [9395]P1(f775(f775(f232(f857(x93951,a844)),f775(f277(x93952,x93951,x93953),x93954)),x93955))+~P1(f775(f775(f232(f857(x93952,a844)),x93954),f775(f81(f857(x93952,a844)),f775(f277(x93951,x93952,f775(f278(x93952,x93951),x93953)),f775(f81(f857(x93951,a844)),x93955)))))
% 184.29/184.09 [9468]~P79(x94681)+P1(f775(f775(f232(x94681),f775(f77(x94681),f775(f775(f3(x94681),f775(f775(f82(x94681),x94682),x94683)),f775(f775(f82(x94681),x94684),x94685)))),f775(f775(f82(x94681),f775(f77(x94681),f775(f775(f3(x94681),x94682),x94684))),f775(f77(x94681),f775(f775(f3(x94681),x94683),x94685)))))
% 184.29/184.09 [9561]P1(f775(f775(f334(x95611),f392(x95612,x95613,x95614,x95611,x95615)),x95614))+P1(f775(f775(f232(f857(x95615,a844)),f775(f775(f46(x95611,f857(x95615,a844)),x95614),x95613)),x95612))
% 184.29/184.09 [9733]~P1(f775(f775(f232(f857(x97331,a844)),f775(x97334,f392(x97335,x97334,x97333,x97332,x97331))),x97335))+P1(f775(f775(f232(f857(x97331,a844)),f775(f775(f46(x97332,f857(x97331,a844)),x97333),x97334)),x97335))
% 184.29/184.09 [8492]E(f775(f775(f125(x84921),x84922),f775(f775(f148(x84921,x84923),f775(f775(f3(a850),x84924),f775(f181(f851(x84921)),x84922))),x84925)),f775(f775(f148(x84921,f775(f775(f125(x84921),x84922),x84923)),x84924),x84925))+P1(f775(f775(f233(a850),x84924),f775(f181(f851(x84921)),x84922)))
% 184.29/184.09 [8517]~P135(x85171)+E(f775(f775(f82(x85171),f775(f775(f83(x85171),x85172),x85173)),f775(f775(f82(x85171),f775(f775(f83(x85171),x85174),x85173)),x85175)),f775(f775(f82(x85171),f775(f775(f83(x85171),f775(f775(f82(x85171),x85172),x85174)),x85173)),x85175))
% 184.29/184.09 [9025]~P136(x90251)+E(f775(f155(x90251),f775(f775(f143(x90252,x90251),f775(f775(f10(x90251,x90251,x90252),f775(f83(x90251),x90253)),x90254)),x90255)),f775(f775(f83(x90251),x90253),f775(f155(x90251),f775(f775(f143(x90252,x90251),x90254),x90255))))
% 184.29/184.09 [9402]~P136(x94022)+E(f775(f775(f8(x94021,x94022),f775(f775(f9(x94021,x94022,x94022),f775(f775(f10(x94022,f857(x94022,x94022),x94021),f83(x94022)),x94023)),x94024)),x94025),f775(f775(f83(x94022),f775(f775(f8(x94021,x94022),x94023),x94025)),x94024))
% 184.29/184.09 [9403]~P61(x94032)+E(f775(f775(f8(x94031,x94032),f775(f775(f9(x94031,x94032,x94032),f775(f775(f10(x94032,f857(x94032,x94032),x94031),f283(x94032)),x94033)),x94034)),x94035),f775(f775(f283(x94032),f775(f775(f8(x94031,x94032),x94033),x94035)),x94034))
% 184.29/184.09 [9410]~P66(x94102)+E(f775(f775(f8(x94101,x94102),f775(f775(f20(x94101,x94102,x94102),f775(f775(f10(x94102,f857(x94102,x94102),x94101),f82(x94102)),x94103)),x94104)),x94105),f775(f775(f82(x94102),f775(f775(f8(x94101,x94102),x94103),x94105)),f775(f775(f8(x94101,x94102),x94104),x94105)))
% 184.29/184.09 [9411]~P6(x94112)+E(f775(f775(f8(x94111,x94112),f775(f775(f20(x94111,x94112,x94112),f775(f775(f10(x94112,f857(x94112,x94112),x94111),f3(x94112)),x94113)),x94114)),x94115),f775(f775(f3(x94112),f775(f775(f8(x94111,x94112),x94113),x94115)),f775(f775(f8(x94111,x94112),x94114),x94115)))
% 184.29/184.09 [9412]~P70(x94122)+E(f775(f775(f11(x94121,x94122),f775(f775(f20(x94121,x94122,x94122),f775(f775(f10(x94122,f857(x94122,x94122),x94121),f83(x94122)),x94123)),x94124)),x94125),f775(f775(f83(x94122),f775(f775(f11(x94121,x94122),x94123),x94125)),f775(f775(f11(x94121,x94122),x94124),x94125)))
% 184.29/184.09 [9451]~E(x94513,f180(f857(x94511,a844)))+E(f775(f775(f46(x94511,f857(x94512,a844)),x94513),f775(f775(f9(x94511,f857(x94512,a844),f857(x94512,a844)),f775(f775(f10(f857(x94512,a844),f857(f857(x94512,a844),f857(x94512,a844)),x94511),f103(f857(x94512,a844))),x94514)),x94515)),f180(f857(x94512,a844)))
% 184.29/184.09 [9452]~E(x94523,f180(f857(x94521,a844)))+E(f775(f775(f47(x94521,f857(x94522,a844)),x94523),f775(f775(f9(x94521,f857(x94522,a844),f857(x94522,a844)),f775(f775(f10(f857(x94522,a844),f857(f857(x94522,a844),f857(x94522,a844)),x94521),f3(f857(x94522,a844))),x94524)),x94525)),f239(f857(x94522,a844)))
% 184.29/184.09 [9453]~E(x94533,f180(f857(x94531,a844)))+E(f775(f775(f47(x94531,f857(x94532,a844)),x94533),f775(f775(f9(x94531,f857(x94532,a844),f857(x94532,a844)),f775(f775(f10(f857(x94532,a844),f857(f857(x94532,a844),f857(x94532,a844)),x94531),f104(f857(x94532,a844))),x94534)),x94535)),f239(f857(x94532,a844)))
% 184.29/184.09 [9478]E(x94781,f180(f857(x94782,a844)))+E(f775(f775(f46(x94782,f857(x94783,a844)),x94781),f775(f775(f9(x94782,f857(x94783,a844),f857(x94783,a844)),f775(f775(f10(f857(x94783,a844),f857(f857(x94783,a844),f857(x94783,a844)),x94782),f103(f857(x94783,a844))),x94784)),x94785)),f775(f775(f103(f857(x94783,a844)),f775(f775(f46(x94782,f857(x94783,a844)),x94781),x94784)),x94785))
% 184.29/184.09 [9479]E(x94791,f180(f857(x94792,a844)))+E(f775(f775(f47(x94792,f857(x94793,a844)),x94791),f775(f775(f9(x94792,f857(x94793,a844),f857(x94793,a844)),f775(f775(f10(f857(x94793,a844),f857(f857(x94793,a844),f857(x94793,a844)),x94792),f3(f857(x94793,a844))),x94794)),x94795)),f775(f775(f3(f857(x94793,a844)),f775(f775(f47(x94792,f857(x94793,a844)),x94791),x94794)),x94795))
% 184.29/184.09 [9480]E(x94801,f180(f857(x94802,a844)))+E(f775(f775(f47(x94802,f857(x94803,a844)),x94801),f775(f775(f9(x94802,f857(x94803,a844),f857(x94803,a844)),f775(f775(f10(f857(x94803,a844),f857(f857(x94803,a844),f857(x94803,a844)),x94802),f104(f857(x94803,a844))),x94804)),x94805)),f775(f775(f104(f857(x94803,a844)),f775(f775(f47(x94802,f857(x94803,a844)),x94801),x94804)),x94805))
% 184.29/184.09 [9072]~P1(f775(f775(f232(a850),x90721),x90724))+E(f775(f775(f3(a850),f775(f775(f82(a850),f775(f775(f83(a850),x90721),x90722)),x90723)),f775(f775(f82(a850),f775(f775(f83(a850),x90724),x90722)),x90725)),f775(f775(f3(a850),x90723),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x90724),x90721)),x90722)),x90725)))
% 184.29/184.09 [9614]~P136(x96141)+E(f775(f155(x96141),f775(f775(f143(x96142,x96141),f775(f775(f9(x96142,x96141,x96141),f775(f775(f10(x96141,f857(x96141,x96141),x96142),f83(x96141)),x96143)),x96144)),x96145)),f775(f775(f83(x96141),f775(f155(x96141),f775(f775(f143(x96142,x96141),x96143),x96145))),x96144))
% 184.29/184.09 [9620]~P66(x96201)+E(f775(f155(x96201),f775(f775(f143(x96202,x96201),f775(f775(f20(x96202,x96201,x96201),f775(f775(f10(x96201,f857(x96201,x96201),x96202),f82(x96201)),x96203)),x96204)),x96205)),f775(f775(f82(x96201),f775(f155(x96201),f775(f775(f143(x96202,x96201),x96203),x96205))),f775(f155(x96201),f775(f775(f143(x96202,x96201),x96204),x96205))))
% 184.29/184.09 [9621]~P6(x96211)+E(f775(f155(x96211),f775(f775(f143(x96212,x96211),f775(f775(f20(x96212,x96211,x96211),f775(f775(f10(x96211,f857(x96211,x96211),x96212),f3(x96211)),x96213)),x96214)),x96215)),f775(f775(f3(x96211),f775(f155(x96211),f775(f775(f143(x96212,x96211),x96213),x96215))),f775(f155(x96211),f775(f775(f143(x96212,x96211),x96214),x96215))))
% 184.29/184.09 [9290]~P1(f775(f775(f232(a850),x92904),x92901))+E(f775(f775(f3(a850),f775(f775(f82(a850),f775(f775(f83(a850),x92901),x92902)),x92903)),f775(f775(f82(a850),f775(f775(f83(a850),x92904),x92902)),x92905)),f775(f775(f3(a850),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x92901),x92904)),x92902)),x92903)),x92905))
% 184.29/184.09 [10018]P28(x100181,x100182,f775(f303(a846,f849(x100181),f775(f775(f20(a846,f857(x100181,f857(a847,a844)),f849(x100181)),f775(f775(f20(a846,a845,f857(f857(x100181,f857(a847,a844)),f849(x100181))),f775(f775(f10(f857(x100181,f857(a847,a844)),f857(a845,f857(f857(x100181,f857(a847,a844)),f849(x100181))),a846),f93(x100181)),x100183)),a27)),x100184)),x100185))+~P28(x100181,f775(f775(f103(f857(f849(x100181),a844)),x100182),f775(f303(a846,f849(x100181),f775(f775(f20(a846,f857(x100181,f857(a847,a844)),f849(x100181)),f775(f775(f20(a846,a845,f857(f857(x100181,f857(a847,a844)),f849(x100181))),f775(f775(f10(f857(x100181,f857(a847,a844)),f857(a845,f857(f857(x100181,f857(a847,a844)),f849(x100181))),a846),f93(x100181)),x100183)),a27)),x100184)),x100185)),f775(f303(a846,f849(x100181),f775(f775(f20(a846,f857(x100181,f857(a847,a844)),f849(x100181)),f775(f775(f20(a846,a845,f857(f857(x100181,f857(a847,a844)),f849(x100181))),f775(f775(f10(f857(x100181,f857(a847,a844)),f857(a845,f857(f857(x100181,f857(a847,a844)),f849(x100181))),a846),f93(x100181)),x100183)),f775(f775(f10(f854(a845),a845,a846),f231(a845)),a30))),x100184)),x100185))
% 184.29/184.09 [5147]E(x51471,x51472)+~E(f33(x51473,x51474,x51471),f33(x51475,x51476,x51472))
% 184.29/184.09 [5148]E(x51481,x51482)+~E(f33(x51483,x51481,x51484),f33(x51485,x51482,x51486))
% 184.29/184.09 [5149]E(x51491,x51492)+~E(f33(x51491,x51493,x51494),f33(x51492,x51495,x51496))
% 184.29/184.09 [5150]E(x51501,x51502)+~E(f32(x51503,x51504,x51501),f32(x51505,x51506,x51502))
% 184.29/184.09 [5151]E(x51511,x51512)+~E(f32(x51513,x51511,x51514),f32(x51515,x51512,x51516))
% 184.29/184.09 [5152]E(x51521,x51522)+~E(f32(x51521,x51523,x51524),f32(x51522,x51525,x51526))
% 184.29/184.09 [5153]E(x51531,x51532)+~E(f31(x51533,x51534,x51531),f31(x51535,x51536,x51532))
% 184.29/184.09 [5154]E(x51541,x51542)+~E(f31(x51543,x51541,x51544),f31(x51545,x51542,x51546))
% 184.29/184.09 [5155]E(x51551,x51552)+~E(f31(x51551,x51553,x51554),f31(x51552,x51555,x51556))
% 184.29/184.09 [7178]E(x71781,x71782)+~E(f215(x71783,x71784,x71785,x71781),f215(x71783,x71784,x71786,x71782))
% 184.29/184.09 [7179]E(x71791,x71792)+~E(f215(x71793,x71794,x71791,x71795),f215(x71793,x71794,x71792,x71796))
% 184.29/184.09 [6618]E(f775(f170(x66181,x66182,x66183,x66184),x66185),f775(f227(x66182),x66186))+~E(f775(x66184,x66185),f775(f227(x66182),x66186))
% 184.29/184.09 [6771]E(f775(f229(f854(x67711),x67712,f183(x67711),x67713),f775(x67714,x67715)),f775(x67713,x67716))+~E(f775(x67714,x67715),f775(f227(x67712),x67716))
% 184.29/184.09 [8319]~P23(x83195,x83191,x83192,x83196)+E(f775(f75(x83191,x83191,x83191,f775(x83192,x83193)),f775(x83192,x83194)),f775(f75(x83191,x83191,x83191,f775(x83192,x83194)),f775(x83192,x83193)))
% 184.29/184.09 [8552]~P55(x85524,x85525,x85522,x85521,x85526)+E(f775(x85521,f775(x85522,x85523)),x85523)
% 184.29/184.09 [8693]P29(x86931,x86932,x86933,x86934)+~P29(x86931,x86935,f775(f75(x86932,x86935,x86931,x86936),x86933),x86934)
% 184.29/184.09 [8770]~P29(x87704,x87702,f775(f75(x87701,x87702,x87704,x87703),x87705),x87706)+P29(x87701,x87702,x87703,f775(f303(x87704,x87701,x87705),x87706))
% 184.29/184.09 [9413]P1(f775(f63(x94131),x94132))+~P1(f775(f68(x94131,x94133,x94134,x94135,x94132),x94136))
% 184.29/184.09 [9423]~P1(f775(f775(f334(x94234),x94233),f292(x94234,x94235,x94231,x94232,x94236)))+P1(f775(f775(x94231,x94232),x94233))
% 184.29/184.09 [9424]~P1(f775(f775(f334(x94244),x94243),f289(x94244,x94241,x94245,x94242,x94246)))+P1(f775(f775(x94241,x94242),x94243))
% 184.29/184.09 [9425]~P1(f775(f775(f334(x94254),x94252),f292(x94254,x94251,x94255,x94256,x94253)))+P1(f775(f775(x94251,x94252),x94253))
% 184.29/184.09 [9426]~P1(f775(f775(f334(x94264),x94262),f289(x94264,x94265,x94261,x94266,x94263)))+P1(f775(f775(x94261,x94262),x94263))
% 184.29/184.09 [5634]E(x56341,x56342)+~E(f775(f775(f241(x56343,x56344),x56345),x56341),f775(f775(f241(x56343,x56344),x56346),x56342))
% 184.29/184.09 [5636]E(x56361,x56362)+~E(f775(f775(f241(x56363,x56364),x56361),x56365),f775(f775(f241(x56363,x56364),x56362),x56366))
% 184.29/184.09 [5775]~P20(x57755,x57756,x57751)+E(f775(f775(x57751,x57752),f775(f775(x57751,x57753),x57754)),f775(f775(x57751,x57753),f775(f775(x57751,x57752),x57754)))
% 184.29/184.09 [7249]~P34(x72494,x72491,f775(f775(f140(x72494),x72492),x72495),f775(f775(f140(x72494),x72493),x72496))+P1(f775(f775(x72491,x72492),x72493))
% 184.29/184.09 [7628]P34(x76281,x76282,x76283,x76284)+~P34(x76281,x76282,f775(f775(f140(x76281),x76285),x76283),f775(f775(f140(x76281),x76286),x76284))
% 184.29/184.09 [8638]~P55(x86385,x86381,x86382,x86386,x86384)+P1(f775(f775(f334(x86381),f775(x86382,x86383)),x86384))
% 184.29/184.09 [8792]E(f775(f78(x87921,x87922,x87923,x87924,x87925),x87926),f775(x87923,x87926))+P1(f775(f775(f334(x87921),x87926),x87925))
% 184.29/184.09 [8810]~E(x88103,f775(f775(f140(x88101),x88105),x88106))+P1(f775(f775(f334(f856(f851(x88101),f851(x88101))),f775(f775(f241(f851(x88101),f851(x88101)),x88102),f775(f775(f125(x88101),x88102),x88103))),f137(x88101,x88104)))
% 184.29/184.09 [8814]E(f775(f78(x88141,x88142,x88143,x88144,x88145),x88146),f775(x88144,x88146))+~P1(f775(f775(f334(x88141),x88146),x88145))
% 184.29/184.09 [9490]~P27(x94904,x94902,x94905,x94903,x94906,x94901)+E(f775(x94901,f180(f857(x94902,a844))),x94903)
% 184.29/184.09 [9695]~E(f775(x96954,f775(f240(x96951,x96953),x96955)),f775(x96956,f775(f240(x96951,x96953),x96955)))+E(f775(f252(x96951,x96952,x96953,x96953,x96954,f39(x96953)),x96955),f775(f252(x96951,x96952,x96953,x96953,x96956,f39(x96953)),x96955))
% 184.29/184.09 [9696]~E(f775(x96964,f775(f250(x96961,x96962),x96965)),f775(x96966,f775(f250(x96961,x96962),x96965)))+E(f775(f252(x96961,x96961,x96962,x96963,f39(x96961),x96964),x96965),f775(f252(x96961,x96961,x96962,x96963,f39(x96961),x96966),x96965))
% 184.29/184.09 [9756]~E(f775(f252(x97562,x97566,x97563,x97563,x97561,f39(x97563)),x97564),f775(f252(x97562,x97566,x97563,x97563,x97565,f39(x97563)),x97564))+E(f775(x97561,f775(f240(x97562,x97563),x97564)),f775(x97565,f775(f240(x97562,x97563),x97564)))
% 184.29/184.09 [9757]~E(f775(f252(x97572,x97572,x97573,x97576,f39(x97572),x97571),x97574),f775(f252(x97572,x97572,x97573,x97576,f39(x97572),x97575),x97574))+E(f775(x97571,f775(f250(x97572,x97573),x97574)),f775(x97575,f775(f250(x97572,x97573),x97574)))
% 184.29/184.09 [8727]P1(f775(f775(f334(x87271),x87272),x87273))+~P1(f775(f775(f334(f856(x87271,x87274)),f775(f775(f241(x87271,x87274),x87272),x87275)),f775(f775(f248(x87271,x87274),x87273),x87276)))
% 184.29/184.09 [8742]P1(f775(f775(f334(x87421),x87422),f775(x87423,x87424)))+~P1(f775(f775(f334(f856(x87425,x87421)),f775(f775(f241(x87425,x87421),x87424),x87422)),f775(f775(f248(x87425,x87421),x87426),x87423)))
% 184.29/184.09 [9048]P1(f775(f775(f334(x90481),x90484),f169(x90481,x90482,x90486)))+E(f170(x90481,x90482,f775(f775(f775(f74(x90481,f854(x90482)),x90483),x90484),f775(f227(x90482),x90485)),x90486),f775(f775(f775(f74(x90481,f854(x90482)),f170(x90481,x90482,x90483,x90486)),x90484),f775(f227(x90482),x90485)))
% 184.29/184.09 [9139]P1(f775(f775(f334(f856(x91391,x91391)),f775(f775(f241(x91391,x91391),f775(x91392,x91393)),f775(x91392,x91394))),x91395))+~P1(f775(f775(f334(f856(x91396,x91396)),f775(f775(f241(x91396,x91396),x91393),x91394)),f775(f775(f280(x91391,x91396),x91395),x91392)))
% 184.29/184.09 [9151]~P1(f775(f775(f334(f856(x91514,x91514)),f775(f775(f241(x91514,x91514),f775(x91516,x91512)),f775(x91516,x91513))),x91515))+P1(f775(f775(f334(f856(x91511,x91511)),f775(f775(f241(x91511,x91511),x91512),x91513)),f775(f775(f280(x91514,x91511),x91515),x91516)))
% 184.29/184.09 [9759]E(f775(f775(f241(x97591,x97592),f705(x97593,x97594,x97595,x97596,x97592,x97591)),f708(x97593,x97594,x97595,x97596,x97592,x97591)),x97596)+~P1(f775(f775(f334(f856(x97591,x97592)),x97596),f775(f775(f281(x97591,x97595,x97592),x97594),x97593)))
% 184.29/184.09 [9967]~P1(f775(f775(f334(f856(x99671,x99676)),x99675),f775(f775(f281(x99671,x99672,x99676),x99674),x99673)))+P1(f775(f775(f334(f856(x99671,x99672)),f775(f775(f241(x99671,x99672),f705(x99673,x99674,x99672,x99675,x99676,x99671)),f709(x99673,x99674,x99672,x99675,x99676,x99671))),x99674))
% 184.29/184.09 [9968]~P1(f775(f775(f334(f856(x99686,x99682)),x99685),f775(f775(f281(x99686,x99681,x99682),x99684),x99683)))+P1(f775(f775(f334(f856(x99681,x99682)),f775(f775(f241(x99681,x99682),f709(x99683,x99684,x99681,x99685,x99682,x99686)),f708(x99683,x99684,x99681,x99685,x99682,x99686))),x99683))
% 184.29/184.09 [6053]~E(x60536,x60534)+E(f775(f775(f775(f775(f74(x60531,x60532),x60533),x60534),x60535),x60536),x60535)
% 184.29/184.09 [6102]E(x61021,x61022)+E(f775(f775(f775(f775(f74(x61023,x61024),x61025),x61022),x61026),x61021),f775(x61025,x61021))
% 184.29/184.09 [7694]~P9(x76942)+E(f775(f775(f46(x76941,x76942),x76943),f775(f775(f9(x76941,x76944,x76942),x76945),x76946)),f775(f775(f775(f46(x76941,f857(x76944,x76942)),x76943),x76945),x76946))
% 184.29/184.09 [7695]~P9(x76952)+E(f775(f775(f47(x76951,x76952),x76953),f775(f775(f9(x76951,x76954,x76952),x76955),x76956)),f775(f775(f775(f47(x76951,f857(x76954,x76952)),x76953),x76955),x76956))
% 184.29/184.09 [8474]E(f775(f775(f46(x84741,f857(x84742,a844)),x84743),f775(f775(f10(f857(x84742,a844),f857(x84742,a844),x84741),f775(f302(x84742),x84744)),x84745)),f775(f775(f302(x84742),x84744),f775(f775(f46(x84741,f857(x84742,a844)),x84743),x84745)))+~P1(f775(f775(f334(x84741),x84746),x84743))
% 184.29/184.09 [8854]~P9(x88542)+E(f775(f775(f46(x88541,x88542),x88543),f775(f775(f10(f857(x88544,x88542),x88542,x88541),f775(f46(x88544,x88542),x88545)),f775(f9(x88544,x88541,x88542),x88546))),f775(f775(f46(x88544,x88542),x88545),f775(f775(f10(f857(x88541,x88542),x88542,x88544),f775(f46(x88541,x88542),x88543)),x88546)))
% 184.29/184.09 [8855]~P9(x88552)+E(f775(f775(f47(x88551,x88552),x88553),f775(f775(f10(f857(x88554,x88552),x88552,x88551),f775(f47(x88554,x88552),x88555)),f775(f9(x88554,x88551,x88552),x88556))),f775(f775(f47(x88554,x88552),x88555),f775(f775(f10(f857(x88551,x88552),x88552,x88554),f775(f47(x88551,x88552),x88553)),x88556)))
% 184.29/184.09 [9056]P1(f775(f775(f334(x90561),x90562),f775(f158(x90561),x90563)))+~P1(f775(f775(f334(f856(x90564,x90561)),f775(f775(f241(x90564,x90561),x90565),x90562)),f775(f158(f856(x90564,x90561)),f775(f775(f167(x90564,x90561),x90566),x90563))))
% 184.29/184.09 [9057]P1(f775(f775(f334(x90571),x90572),f775(f158(x90571),x90573)))+~P1(f775(f775(f334(f856(x90571,x90574)),f775(f775(f241(x90571,x90574),x90572),x90575)),f775(f158(f856(x90571,x90574)),f775(f775(f167(x90571,x90574),x90573),x90576))))
% 184.29/184.09 [9149]P1(f775(f775(f232(f857(x91491,a844)),f775(f277(x91492,x91491,x91493),x91494)),x91495))+~P1(f775(f775(f232(f857(f856(x91492,x91491),a844)),x91493),f775(f775(f248(x91492,x91491),x91496),f775(f18(f857(x91491,a844),x91492),x91495))))
% 184.29/184.09 [9326]P1(f775(f775(f334(f856(f851(x93261),f851(x93261))),f775(f775(f241(f851(x93261),f851(x93261)),f775(f775(f140(x93261),x93262),x93263)),f775(f775(f140(x93261),x93264),x93265))),f137(x93261,x93266)))+~P1(f775(f775(f334(f856(x93261,x93261)),f775(f775(f241(x93261,x93261),x93262),x93264)),x93266))
% 184.29/184.09 [9755]E(f775(f775(f241(x97551,x97552),f612(x97553,x97554,x97555,x97552,x97551,x97556)),f615(x97553,x97554,x97555,x97552,x97551,x97556)),x97556)+P1(f775(f775(f334(x97555),x97554),f775(f775(f251(x97551,x97552,f857(x97555,a844)),x97553),x97556)))
% 184.29/184.09 [9760]E(f775(f775(f241(x97601,x97602),f613(x97603,x97604,x97602,x97601,x97605,x97606)),f614(x97603,x97604,x97602,x97601,x97605,x97606)),x97603)+~P1(f775(f775(f334(x97606),x97605),f775(f775(f251(x97601,x97602,f857(x97606,a844)),x97604),x97603)))
% 184.29/184.09 [9922]P1(f775(f775(f334(x99221),x99222),f775(f775(x99223,f613(x99224,x99223,x99225,x99226,x99222,x99221)),f614(x99224,x99223,x99225,x99226,x99222,x99221))))+~P1(f775(f775(f334(x99221),x99222),f775(f775(f251(x99226,x99225,f857(x99221,a844)),x99223),x99224)))
% 184.29/184.09 [9946]~P1(f775(f775(f334(x99461),x99462),f775(f775(x99465,f612(x99465,x99462,x99461,x99464,x99463,x99466)),f615(x99465,x99462,x99461,x99464,x99463,x99466))))+P1(f775(f775(f334(x99461),x99462),f775(f775(f251(x99463,x99464,f857(x99461,a844)),x99465),x99466)))
% 184.29/184.09 [7819]P1(f775(f775(f334(x78191),x78194),x78196))+E(f172(x78191,x78192,f775(f775(f775(f74(x78191,f854(x78192)),x78193),x78194),x78195),x78196),f172(x78191,x78192,x78193,x78196))
% 184.29/184.09 [7894]P1(f775(f775(f334(x78941),x78944),x78946))+E(f775(f303(x78941,x78942,f775(f775(f775(f74(x78941,x78942),x78943),x78944),x78945)),x78946),f775(f303(x78941,x78942,x78943),x78946))
% 184.29/184.09 [7922]P1(f775(f775(f334(x79221),x79224),f775(f158(x79221),x79226)))+E(f775(f775(f143(x79221,x79222),f775(f775(f775(f74(x79221,x79222),x79223),x79224),x79225)),x79226),f775(f775(f143(x79221,x79222),x79223),x79226))
% 184.29/184.09 [8369]E(x83691,x83692)+E(f775(f775(f148(x83693,f775(f775(f148(x83693,x83694),x83691),x83695)),x83692),x83696),f775(f775(f148(x83693,f775(f775(f148(x83693,x83694),x83692),x83696)),x83691),x83695))
% 184.29/184.09 [8860]~P1(f775(f775(f334(x88603),x88606),x88605))+E(f775(f775(f302(x88601),x88602),f775(f303(x88603,x88601,x88604),f775(f775(f3(f857(x88603,a844)),x88605),f775(f775(f302(x88603),x88606),f180(f857(x88603,a844)))))),f775(f303(x88603,x88601,f775(f775(f775(f74(x88603,x88601),x88604),x88606),x88602)),x88605))
% 184.29/184.09 [8688]~E(x86883,x86886)+E(f775(f166(x86881,x86882,f775(f775(f140(f856(x86881,x86882)),f775(f775(f241(x86881,x86882),x86883),x86884)),x86885)),x86886),f775(f227(x86882),x86884))
% 184.29/184.09 [8729]E(x87291,x87292)+E(f775(f166(x87293,x87294,f775(f775(f140(f856(x87293,x87294)),f775(f775(f241(x87293,x87294),x87291),x87295)),x87296)),x87292),f775(f166(x87293,x87294,x87296),x87292))
% 184.29/184.09 [8935]~P1(f775(f775(x89354,x89355),x89356))+P1(f775(f775(f775(f775(f103(f857(x89351,f857(x89352,a844))),x89353),x89354),x89355),x89356))
% 184.29/184.09 [8937]~P1(f775(f775(x89373,x89375),x89376))+P1(f775(f775(f775(f775(f103(f857(x89371,f857(x89372,a844))),x89373),x89374),x89375),x89376))
% 184.29/184.09 [8953]P1(f775(f775(f334(x89531),x89536),f775(f158(x89531),x89534)))+E(f775(f170(x89531,x89532,x89533,f166(x89531,x89532,f775(f142(f856(x89531,x89532)),f775(f775(f167(x89531,x89532),x89534),x89535)))),x89536),f775(x89533,x89536))
% 184.29/184.09 [9102]~E(f775(f181(f851(x91021)),x91024),f775(f181(f851(x91022)),x91025))+E(f170(x91021,x91022,x91023,f166(x91021,x91022,f775(f142(f856(x91021,x91022)),f775(f775(f167(x91021,x91022),x91024),f775(f775(f125(x91022),x91025),x91026))))),f170(x91021,x91022,x91023,f166(x91021,x91022,f775(f142(f856(x91021,x91022)),f775(f775(f167(x91021,x91022),x91024),x91025)))))
% 184.29/184.09 [9189]P1(f775(f775(x91891,x91892),x91893))+~P1(f775(f775(f775(f775(f104(f857(x91894,f857(x91895,a844))),x91896),x91891),x91892),x91893))
% 184.29/184.09 [9190]P1(f775(f775(x91901,x91902),x91903))+~P1(f775(f775(f775(f775(f104(f857(x91904,f857(x91905,a844))),x91901),x91906),x91902),x91903))
% 184.29/184.09 [9603]~P66(x96032)+E(f775(f775(f8(x96031,x96032),f775(f775(f9(x96031,f857(x96033,a844),x96032),f775(f775(f10(f857(x96033,x96032),f857(f857(x96033,a844),x96032),x96031),f8(x96033,x96032)),x96034)),x96035)),x96036),f775(f775(f8(f856(x96031,x96033),x96032),f775(f251(x96031,x96033,x96032),x96034)),f775(f775(f248(x96031,x96033),x96036),f775(f18(f857(x96033,a844),x96031),x96035))))
% 184.29/184.09 [9604]~P70(x96042)+E(f775(f775(f11(x96041,x96042),f775(f775(f9(x96041,f857(x96043,a844),x96042),f775(f775(f10(f857(x96043,x96042),f857(f857(x96043,a844),x96042),x96041),f11(x96043,x96042)),x96044)),x96045)),x96046),f775(f775(f11(f856(x96041,x96043),x96042),f775(f251(x96041,x96043,x96042),x96044)),f775(f775(f248(x96041,x96043),x96046),f775(f18(f857(x96043,a844),x96041),x96045))))
% 184.29/184.09 [9722]~P66(x97222)+E(f775(f775(f8(x97221,x97222),f775(f775(f9(x97221,f857(x97223,a844),x97222),f775(f775(f10(f857(x97223,x97222),f857(f857(x97223,a844),x97222),x97221),f8(x97223,x97222)),f775(f9(x97223,x97221,x97222),x97224))),x97225)),x97226),f775(f775(f8(x97223,x97222),f775(f775(f9(x97223,f857(x97221,a844),x97222),f775(f775(f10(f857(x97221,x97222),f857(f857(x97221,a844),x97222),x97223),f8(x97221,x97222)),x97224)),x97226)),x97225))
% 184.29/184.09 [9191]~E(f775(f181(f851(x91911)),x91914),f775(f181(f851(x91912)),x91916))+E(f170(x91911,x91912,x91913,f166(x91911,x91912,f775(f142(f856(x91911,x91912)),f775(f775(f167(x91911,x91912),f775(f775(f125(x91911),x91914),x91915)),x91916)))),f170(x91911,x91912,x91913,f166(x91911,x91912,f775(f142(f856(x91911,x91912)),f775(f775(f167(x91911,x91912),x91914),x91916)))))
% 184.29/184.09 [9455]~P1(f775(f775(f334(x94551),x94555),x94554))+E(f775(f775(f775(f74(x94551,f854(x94552)),f172(x94551,x94552,x94553,f775(f775(f3(f857(x94551,a844)),x94554),f775(f775(f302(x94551),x94555),f180(f857(x94551,a844)))))),x94555),x94556),f172(x94551,x94552,f775(f775(f775(f74(x94551,f854(x94552)),x94553),x94555),x94556),x94554))
% 184.29/184.09 [9662]E(f170(x96621,x96622,x96623,f166(x96621,x96622,f775(f142(f856(x96621,x96622)),f775(f775(f167(x96621,x96622),f775(f775(f125(x96621),x96624),f775(f775(f140(x96621),x96625),f115(x96621)))),x96626)))),f775(f775(f775(f74(x96621,f854(x96622)),f170(x96621,x96622,x96623,f166(x96621,x96622,f775(f142(f856(x96621,x96622)),f775(f775(f167(x96621,x96622),x96624),x96626))))),x96625),f775(f227(x96622),f775(f775(f153(x96622),x96626),f775(f181(f851(x96621)),x96624)))))+~P1(f775(f775(f233(a850),f775(f181(f851(x96621)),x96624)),f775(f181(f851(x96622)),x96626)))
% 184.29/184.09 [10021]~P1(f775(f775(f334(f856(x100211,x100212)),f775(f775(f241(x100211,x100212),x100215),x100216)),f775(f775(f103(f857(f856(x100211,x100212),a844)),x100213),x100214)))+P1(f775(f775(f775(f775(f103(f857(x100211,f857(x100212,a844))),f775(f775(f9(x100211,f857(f856(x100211,x100212),a844),f857(x100212,a844)),f775(f775(f10(f857(x100212,f857(f857(f856(x100211,x100212),a844),a844)),f857(f857(f856(x100211,x100212),a844),f857(x100212,a844)),x100211),f9(x100212,f857(f856(x100211,x100212),a844),a844)),f775(f775(f10(f857(x100212,f856(x100211,x100212)),f857(x100212,f857(f857(f856(x100211,x100212),a844),a844)),x100211),f775(f10(f856(x100211,x100212),f857(f857(f856(x100211,x100212),a844),a844),x100212),f334(f856(x100211,x100212)))),f241(x100211,x100212)))),x100213)),f775(f775(f9(x100211,f857(f856(x100211,x100212),a844),f857(x100212,a844)),f775(f775(f10(f857(x100212,f857(f857(f856(x100211,x100212),a844),a844)),f857(f857(f856(x100211,x100212),a844),f857(x100212,a844)),x100211),f9(x100212,f857(f856(x100211,x100212),a844),a844)),f775(f775(f10(f857(x100212,f856(x100211,x100212)),f857(x100212,f857(f857(f856(x100211,x100212),a844),a844)),x100211),f775(f10(f856(x100211,x100212),f857(f857(f856(x100211,x100212),a844),a844),x100212),f334(f856(x100211,x100212)))),f241(x100211,x100212)))),x100214)),x100215),x100216))
% 184.29/184.09 [10022]~P1(f775(f775(f334(f856(x100221,x100222)),f775(f775(f241(x100221,x100222),x100225),x100226)),f775(f775(f104(f857(f856(x100221,x100222),a844)),x100223),x100224)))+P1(f775(f775(f775(f775(f104(f857(x100221,f857(x100222,a844))),f775(f775(f9(x100221,f857(f856(x100221,x100222),a844),f857(x100222,a844)),f775(f775(f10(f857(x100222,f857(f857(f856(x100221,x100222),a844),a844)),f857(f857(f856(x100221,x100222),a844),f857(x100222,a844)),x100221),f9(x100222,f857(f856(x100221,x100222),a844),a844)),f775(f775(f10(f857(x100222,f856(x100221,x100222)),f857(x100222,f857(f857(f856(x100221,x100222),a844),a844)),x100221),f775(f10(f856(x100221,x100222),f857(f857(f856(x100221,x100222),a844),a844),x100222),f334(f856(x100221,x100222)))),f241(x100221,x100222)))),x100223)),f775(f775(f9(x100221,f857(f856(x100221,x100222),a844),f857(x100222,a844)),f775(f775(f10(f857(x100222,f857(f857(f856(x100221,x100222),a844),a844)),f857(f857(f856(x100221,x100222),a844),f857(x100222,a844)),x100221),f9(x100222,f857(f856(x100221,x100222),a844),a844)),f775(f775(f10(f857(x100222,f856(x100221,x100222)),f857(x100222,f857(f857(f856(x100221,x100222),a844),a844)),x100221),f775(f10(f856(x100221,x100222),f857(f857(f856(x100221,x100222),a844),a844),x100222),f334(f856(x100221,x100222)))),f241(x100221,x100222)))),x100224)),x100225),x100226))
% 184.29/184.09 [10026]P1(f775(f775(f334(f856(x100261,x100262)),f775(f775(f241(x100261,x100262),x100263),x100264)),f775(f775(f103(f857(f856(x100261,x100262),a844)),x100265),x100266)))+~P1(f775(f775(f775(f775(f103(f857(x100261,f857(x100262,a844))),f775(f775(f9(x100261,f857(f856(x100261,x100262),a844),f857(x100262,a844)),f775(f775(f10(f857(x100262,f857(f857(f856(x100261,x100262),a844),a844)),f857(f857(f856(x100261,x100262),a844),f857(x100262,a844)),x100261),f9(x100262,f857(f856(x100261,x100262),a844),a844)),f775(f775(f10(f857(x100262,f856(x100261,x100262)),f857(x100262,f857(f857(f856(x100261,x100262),a844),a844)),x100261),f775(f10(f856(x100261,x100262),f857(f857(f856(x100261,x100262),a844),a844),x100262),f334(f856(x100261,x100262)))),f241(x100261,x100262)))),x100265)),f775(f775(f9(x100261,f857(f856(x100261,x100262),a844),f857(x100262,a844)),f775(f775(f10(f857(x100262,f857(f857(f856(x100261,x100262),a844),a844)),f857(f857(f856(x100261,x100262),a844),f857(x100262,a844)),x100261),f9(x100262,f857(f856(x100261,x100262),a844),a844)),f775(f775(f10(f857(x100262,f856(x100261,x100262)),f857(x100262,f857(f857(f856(x100261,x100262),a844),a844)),x100261),f775(f10(f856(x100261,x100262),f857(f857(f856(x100261,x100262),a844),a844),x100262),f334(f856(x100261,x100262)))),f241(x100261,x100262)))),x100266)),x100263),x100264))
% 184.29/184.10 [10027]P1(f775(f775(f334(f856(x100271,x100272)),f775(f775(f241(x100271,x100272),x100273),x100274)),f775(f775(f104(f857(f856(x100271,x100272),a844)),x100275),x100276)))+~P1(f775(f775(f775(f775(f104(f857(x100271,f857(x100272,a844))),f775(f775(f9(x100271,f857(f856(x100271,x100272),a844),f857(x100272,a844)),f775(f775(f10(f857(x100272,f857(f857(f856(x100271,x100272),a844),a844)),f857(f857(f856(x100271,x100272),a844),f857(x100272,a844)),x100271),f9(x100272,f857(f856(x100271,x100272),a844),a844)),f775(f775(f10(f857(x100272,f856(x100271,x100272)),f857(x100272,f857(f857(f856(x100271,x100272),a844),a844)),x100271),f775(f10(f856(x100271,x100272),f857(f857(f856(x100271,x100272),a844),a844),x100272),f334(f856(x100271,x100272)))),f241(x100271,x100272)))),x100275)),f775(f775(f9(x100271,f857(f856(x100271,x100272),a844),f857(x100272,a844)),f775(f775(f10(f857(x100272,f857(f857(f856(x100271,x100272),a844),a844)),f857(f857(f856(x100271,x100272),a844),f857(x100272,a844)),x100271),f9(x100272,f857(f856(x100271,x100272),a844),a844)),f775(f775(f10(f857(x100272,f856(x100271,x100272)),f857(x100272,f857(f857(f856(x100271,x100272),a844),a844)),x100271),f775(f10(f856(x100271,x100272),f857(f857(f856(x100271,x100272),a844),a844),x100272),f334(f856(x100271,x100272)))),f241(x100271,x100272)))),x100276)),x100273),x100274))
% 184.29/184.10 [10016]~P1(f775(f775(f334(f856(x100162,x100163)),f775(f775(f241(x100162,x100163),x100165),x100166)),f775(f775(f46(x100161,f857(f856(x100162,x100163),a844)),f239(f857(x100161,a844))),x100164)))+P1(f775(f775(f775(f775(f46(x100161,f857(x100162,f857(x100163,a844))),f239(f857(x100161,a844))),f775(f775(f10(f857(f856(x100162,x100163),a844),f857(x100162,f857(x100163,a844)),x100161),f775(f9(x100162,f857(f856(x100162,x100163),a844),f857(x100163,a844)),f775(f775(f10(f857(x100163,f857(f857(f856(x100162,x100163),a844),a844)),f857(f857(f856(x100162,x100163),a844),f857(x100163,a844)),x100162),f9(x100163,f857(f856(x100162,x100163),a844),a844)),f775(f775(f10(f857(x100163,f856(x100162,x100163)),f857(x100163,f857(f857(f856(x100162,x100163),a844),a844)),x100162),f775(f10(f856(x100162,x100163),f857(f857(f856(x100162,x100163),a844),a844),x100163),f334(f856(x100162,x100163)))),f241(x100162,x100163))))),x100164)),x100165),x100166))
% 184.29/184.10 [10017]~P1(f775(f775(f334(f856(x100172,x100173)),f775(f775(f241(x100172,x100173),x100175),x100176)),f775(f775(f47(x100171,f857(f856(x100172,x100173),a844)),f239(f857(x100171,a844))),x100174)))+P1(f775(f775(f775(f775(f47(x100171,f857(x100172,f857(x100173,a844))),f239(f857(x100171,a844))),f775(f775(f10(f857(f856(x100172,x100173),a844),f857(x100172,f857(x100173,a844)),x100171),f775(f9(x100172,f857(f856(x100172,x100173),a844),f857(x100173,a844)),f775(f775(f10(f857(x100173,f857(f857(f856(x100172,x100173),a844),a844)),f857(f857(f856(x100172,x100173),a844),f857(x100173,a844)),x100172),f9(x100173,f857(f856(x100172,x100173),a844),a844)),f775(f775(f10(f857(x100173,f856(x100172,x100173)),f857(x100173,f857(f857(f856(x100172,x100173),a844),a844)),x100172),f775(f10(f856(x100172,x100173),f857(f857(f856(x100172,x100173),a844),a844),x100173),f334(f856(x100172,x100173)))),f241(x100172,x100173))))),x100174)),x100175),x100176))
% 184.29/184.10 [10024]P1(f775(f775(f334(f856(x100241,x100242)),f775(f775(f241(x100241,x100242),x100243),x100244)),f775(f775(f46(x100245,f857(f856(x100241,x100242),a844)),f239(f857(x100245,a844))),x100246)))+~P1(f775(f775(f775(f775(f46(x100245,f857(x100241,f857(x100242,a844))),f239(f857(x100245,a844))),f775(f775(f10(f857(f856(x100241,x100242),a844),f857(x100241,f857(x100242,a844)),x100245),f775(f9(x100241,f857(f856(x100241,x100242),a844),f857(x100242,a844)),f775(f775(f10(f857(x100242,f857(f857(f856(x100241,x100242),a844),a844)),f857(f857(f856(x100241,x100242),a844),f857(x100242,a844)),x100241),f9(x100242,f857(f856(x100241,x100242),a844),a844)),f775(f775(f10(f857(x100242,f856(x100241,x100242)),f857(x100242,f857(f857(f856(x100241,x100242),a844),a844)),x100241),f775(f10(f856(x100241,x100242),f857(f857(f856(x100241,x100242),a844),a844),x100242),f334(f856(x100241,x100242)))),f241(x100241,x100242))))),x100246)),x100243),x100244))
% 184.29/184.10 [10025]P1(f775(f775(f334(f856(x100251,x100252)),f775(f775(f241(x100251,x100252),x100253),x100254)),f775(f775(f47(x100255,f857(f856(x100251,x100252),a844)),f239(f857(x100255,a844))),x100256)))+~P1(f775(f775(f775(f775(f47(x100255,f857(x100251,f857(x100252,a844))),f239(f857(x100255,a844))),f775(f775(f10(f857(f856(x100251,x100252),a844),f857(x100251,f857(x100252,a844)),x100255),f775(f9(x100251,f857(f856(x100251,x100252),a844),f857(x100252,a844)),f775(f775(f10(f857(x100252,f857(f857(f856(x100251,x100252),a844),a844)),f857(f857(f856(x100251,x100252),a844),f857(x100252,a844)),x100251),f9(x100252,f857(f856(x100251,x100252),a844),a844)),f775(f775(f10(f857(x100252,f856(x100251,x100252)),f857(x100252,f857(f857(f856(x100251,x100252),a844),a844)),x100251),f775(f10(f856(x100251,x100252),f857(f857(f856(x100251,x100252),a844),a844),x100252),f334(f856(x100251,x100252)))),f241(x100251,x100252))))),x100256)),x100253),x100254))
% 184.29/184.10 [9124]E(x91241,x91242)+~E(f319(x91243,x91244,x91245,x91246,x91241),f319(x91243,x91244,x91245,x91247,x91242))
% 184.29/184.10 [9125]E(x91251,x91252)+~E(f319(x91253,x91254,x91255,x91251,x91256),f319(x91253,x91254,x91255,x91252,x91257))
% 184.29/184.10 [7367]E(f775(x73671,f775(x73672,x73673)),f775(x73674,x73673))+~E(f775(f75(x73675,x73676,x73677,x73671),x73672),x73674)
% 184.29/184.10 [9489]~P26(x94893,x94894,x94891,x94895,x94896,x94897)+E(f775(f775(x94891,x94892),x94892),x94892)
% 184.29/184.10 [9815]~P51(x98155,x98156,x98157,x98151,x98154,x98152,x98153)+P1(f775(f775(x98151,x98152),f588(x98153,x98152,x98154,x98151)))
% 184.29/184.10 [9840]~E(f775(f229(f854(x98407),x98401,f183(x98407),x98405),f775(x98404,x98403)),f775(f227(x98407),x98402))+E(f775(f227(x98401),f712(x98402,x98403,x98404,x98405,x98406,x98407,x98401)),f775(x98404,x98403))
% 184.29/184.10 [9841]~E(f775(f229(f854(x98416),x98417,f183(x98416),x98411),f775(x98414,x98413)),f775(f227(x98416),x98412))+E(f775(x98411,f712(x98412,x98413,x98414,x98411,x98415,x98416,x98417)),f775(f227(x98416),x98412))
% 184.29/184.10 [5871]~E(f775(f775(f143(x58711,x58715),x58716),x58712),f775(f775(f143(x58713,x58715),x58717),x58714))+E(f775(f181(f851(x58711)),x58712),f775(f181(f851(x58713)),x58714))
% 184.29/184.10 [7443]E(x74431,x74432)+~E(f775(f775(f775(f74(x74433,f854(x74434)),x74435),x74436),f775(f227(x74434),x74431)),f775(f775(f775(f74(x74433,f854(x74434)),x74437),x74436),f775(f227(x74434),x74432)))
% 184.29/184.10 [8404]E(f775(x84041,f775(x84042,x84043)),f775(x84044,x84043))+~E(f775(f75(x84045,x84046,x84047,x84041),x84042),f775(f75(x84046,x84046,x84047,f39(x84046)),x84044))
% 184.29/184.10 [9820]~P51(x98205,x98206,x98207,x98204,x98201,x98203,x98202)+P1(f775(f775(x98201,f588(x98202,x98203,x98201,x98204)),x98202))
% 184.29/184.10 [5918]E(x59181,x59182)+~E(f775(f775(f775(f93(x59183),x59184),x59185),x59181),f775(f775(f775(f93(x59183),x59186),x59187),x59182))
% 184.29/184.10 [5919]E(x59191,x59192)+~E(f775(f775(f775(f93(x59193),x59194),x59191),x59195),f775(f775(f775(f93(x59193),x59196),x59192),x59197))
% 184.29/184.10 [5920]E(x59201,x59202)+~E(f775(f775(f775(f93(x59203),x59201),x59204),x59205),f775(f775(f775(f93(x59203),x59202),x59206),x59207))
% 184.29/184.10 [8817]~P24(x88176,x88171,x88173,x88177)+E(f775(f75(x88171,x88171,x88172,f775(x88173,x88174)),f775(f75(x88171,x88171,x88172,f775(x88173,x88174)),x88175)),f775(f75(x88171,x88171,x88172,f775(x88173,x88174)),x88175))
% 184.29/184.10 [8816]~P1(f775(f775(f334(x88161),x88162),f775(f775(x88165,x88166),x88167)))+P1(f775(f775(f334(x88161),x88162),f775(f775(f251(x88163,x88164,f857(x88161,a844)),x88165),f775(f775(f241(x88163,x88164),x88166),x88167))))
% 184.29/184.10 [9083]P1(f775(f775(f775(x90831,x90832),x90833),x90834))+~P1(f775(f775(f775(f251(x90835,x90836,f857(x90837,a844)),x90831),f775(f775(f241(x90835,x90836),x90832),x90833)),x90834))
% 184.29/184.10 [9203]P1(f775(f775(f334(x92031),f775(f775(x92032,x92033),x92034)),f775(f303(f856(x92035,x92036),x92031,f775(f251(x92035,x92036,x92031),x92032)),x92037)))+~P1(f775(f775(f334(f856(x92035,x92036)),f775(f775(f241(x92035,x92036),x92033),x92034)),x92037))
% 184.29/184.10 [9528]P1(f775(f775(f334(f856(f851(x95281),f851(x95281))),f775(f775(f241(f851(x95281),f851(x95281)),f775(f775(f125(x95281),x95282),f775(f775(f140(x95281),x95283),x95284))),f775(f775(f125(x95281),x95282),f775(f775(f140(x95281),x95285),x95286)))),f137(x95281,x95287)))+~P1(f775(f775(f334(f856(x95281,x95281)),f775(f775(f241(x95281,x95281),x95283),x95285)),x95287))
% 184.29/184.10 [9945]P51(x99451,x99452,x99453,f775(f775(f9(x99451,f857(f856(x99451,x99452),a844),f857(x99452,a844)),f775(f775(f10(f857(x99452,f857(f857(f856(x99451,x99452),a844),a844)),f857(f857(f856(x99451,x99452),a844),f857(x99452,a844)),x99451),f9(x99452,f857(f856(x99451,x99452),a844),a844)),f775(f775(f10(f857(x99452,f856(x99451,x99452)),f857(x99452,f857(f857(f856(x99451,x99452),a844),a844)),x99451),f775(f10(f856(x99451,x99452),f857(f857(f856(x99451,x99452),a844),a844),x99452),f334(f856(x99451,x99452)))),f241(x99451,x99452)))),x99454),f775(f775(f9(x99452,f857(f856(x99452,x99453),a844),f857(x99453,a844)),f775(f775(f10(f857(x99453,f857(f857(f856(x99452,x99453),a844),a844)),f857(f857(f856(x99452,x99453),a844),f857(x99453,a844)),x99452),f9(x99453,f857(f856(x99452,x99453),a844),a844)),f775(f775(f10(f857(x99453,f856(x99452,x99453)),f857(x99453,f857(f857(f856(x99452,x99453),a844),a844)),x99452),f775(f10(f856(x99452,x99453),f857(f857(f856(x99452,x99453),a844),a844),x99453),f334(f856(x99452,x99453)))),f241(x99452,x99453)))),x99455),x99456,x99457)+~P1(f775(f775(f334(f856(x99451,x99453)),f775(f775(f241(x99451,x99453),x99456),x99457)),f775(f775(f281(x99451,x99452,x99453),x99454),x99455)))
% 184.29/184.10 [9974]~P51(x99741,x99745,x99742,f775(f775(f9(x99741,f857(f856(x99741,x99745),a844),f857(x99745,a844)),f775(f775(f10(f857(x99745,f857(f857(f856(x99741,x99745),a844),a844)),f857(f857(f856(x99741,x99745),a844),f857(x99745,a844)),x99741),f9(x99745,f857(f856(x99741,x99745),a844),a844)),f775(f775(f10(f857(x99745,f856(x99741,x99745)),f857(x99745,f857(f857(f856(x99741,x99745),a844),a844)),x99741),f775(f10(f856(x99741,x99745),f857(f857(f856(x99741,x99745),a844),a844),x99745),f334(f856(x99741,x99745)))),f241(x99741,x99745)))),x99746),f775(f775(f9(x99745,f857(f856(x99745,x99742),a844),f857(x99742,a844)),f775(f775(f10(f857(x99742,f857(f857(f856(x99745,x99742),a844),a844)),f857(f857(f856(x99745,x99742),a844),f857(x99742,a844)),x99745),f9(x99742,f857(f856(x99745,x99742),a844),a844)),f775(f775(f10(f857(x99742,f856(x99745,x99742)),f857(x99742,f857(f857(f856(x99745,x99742),a844),a844)),x99745),f775(f10(f856(x99745,x99742),f857(f857(f856(x99745,x99742),a844),a844),x99742),f334(f856(x99745,x99742)))),f241(x99745,x99742)))),x99747),x99743,x99744)+P1(f775(f775(f334(f856(x99741,x99742)),f775(f775(f241(x99741,x99742),x99743),x99744)),f775(f775(f281(x99741,x99745,x99742),x99746),x99747)))
% 184.29/184.10 [9592]P1(f775(f775(f334(x95921),x95924),f775(f158(x95921),x95926)))+E(f170(x95921,x95922,f775(f775(f775(f74(x95921,f854(x95922)),x95923),x95924),f775(f227(x95922),x95925)),f166(x95921,x95922,f775(f142(f856(x95921,x95922)),f775(f775(f167(x95921,x95922),x95926),x95927)))),f775(f775(f775(f74(x95921,f854(x95922)),f170(x95921,x95922,x95923,f166(x95921,x95922,f775(f142(f856(x95921,x95922)),f775(f775(f167(x95921,x95922),x95926),x95927))))),x95924),f775(f227(x95922),x95925)))
% 184.29/184.10 [9078]E(x90781,x90782)+E(f775(f775(f775(f74(x90783,x90784),f775(f775(f775(f74(x90783,x90784),x90785),x90781),x90786)),x90782),x90787),f775(f775(f775(f74(x90783,x90784),f775(f775(f775(f74(x90783,x90784),x90785),x90782),x90787)),x90781),x90786))
% 184.29/184.10 [9330]E(f170(x93301,x93302,f775(f775(f775(f74(x93301,f854(x93302)),x93303),x93304),f775(f227(x93302),x93305)),f166(x93301,x93302,f775(f142(f856(x93301,x93302)),f775(f775(f167(x93301,x93302),x93306),x93307)))),f170(x93301,x93302,x93303,f166(x93301,x93302,f775(f142(f856(x93301,x93302)),f775(f775(f167(x93301,x93302),x93306),x93307)))))+~P1(f775(f775(f334(x93301),x93304),f775(f158(x93301),f775(f775(f159(x93301),f775(f181(f851(x93302)),x93307)),x93306))))
% 184.29/184.10 [9610]E(f170(x96101,x96102,f775(f775(f775(f74(x96101,f854(x96102)),x96103),x96104),f775(f227(x96102),x96105)),f166(x96101,x96102,f775(f142(f856(x96101,x96102)),f775(f775(f167(x96101,x96102),x96106),x96107)))),f775(f775(f775(f74(x96101,f854(x96102)),f170(x96101,x96102,x96103,f166(x96101,x96102,f775(f142(f856(x96101,x96102)),f775(f775(f167(x96101,x96102),x96106),x96107))))),x96104),f775(f227(x96102),x96105)))+P1(f775(f775(f334(x96101),x96104),f775(f158(x96101),f775(f775(f159(x96101),f775(f181(f851(x96102)),x96107)),x96106))))
% 184.29/184.10 [9956]P1(f775(f775(f334(x99561),f668(x99562,x99563,x99564,x99565,x99566,x99567,x99561)),x99565))+P1(f775(f775(f775(f775(f47(x99561,f857(x99567,f857(x99566,a844))),x99565),x99564),x99563),x99562))
% 184.29/184.10 [9957]P1(f775(f775(f334(x99571),f430(x99572,x99573,x99574,x99575,x99576,x99577,x99571)),x99575))+~P1(f775(f775(f775(f775(f46(x99571,f857(x99577,f857(x99576,a844))),x99575),x99574),x99573),x99572))
% 184.29/184.10 [9984]P1(f775(f775(f775(x99841,f430(x99842,x99843,x99841,x99844,x99845,x99846,x99847)),x99843),x99842))+~P1(f775(f775(f775(f775(f46(x99847,f857(x99846,f857(x99845,a844))),x99844),x99841),x99843),x99842))
% 184.29/184.10 [10001]~P1(f775(f775(f775(x100015,f668(x100017,x100016,x100015,x100014,x100013,x100012,x100011)),x100016),x100017))+P1(f775(f775(f775(f775(f47(x100011,f857(x100012,f857(x100013,a844))),x100014),x100015),x100016),x100017))
% 184.29/184.10 [9966]~P136(x99662)+E(f775(f775(f8(x99661,x99662),f775(f775(f9(x99661,f857(x99663,a844),x99662),f775(f775(f10(f857(x99663,x99662),f857(f857(x99663,a844),x99662),x99661),f8(x99663,x99662)),f775(f775(f9(x99661,f857(x99663,x99662),f857(x99663,x99662)),f775(f775(f10(f857(x99662,x99662),f857(f857(x99663,x99662),f857(x99663,x99662)),x99661),f10(x99662,x99662,x99663)),f775(f775(f10(x99662,f857(x99662,x99662),x99661),f83(x99662)),x99664))),x99665))),x99666)),x99667),f775(f775(f83(x99662),f775(f775(f8(x99661,x99662),x99664),x99667)),f775(f775(f8(x99663,x99662),x99665),x99666)))
% 184.29/184.10 [9115]~P23(x91157,x91151,x91153,x91158)+E(f775(f75(x91151,x91151,x91152,f775(x91153,x91154)),f775(f75(x91151,x91151,x91152,f775(x91153,x91155)),x91156)),f775(f75(x91151,x91151,x91152,f775(x91153,x91155)),f775(f75(x91151,x91151,x91152,f775(x91153,x91154)),x91156)))
% 184.29/184.10 [10019]E(f775(f775(f241(x100191,x100192),f775(x100193,f573(x100194,x100195,x100193,x100196,x100197,x100198,x100192,x100191))),f775(x100195,f574(x100194,x100195,x100193,x100196,x100197,x100198,x100192,x100191))),x100198)+~P1(f775(f775(f334(f856(x100191,x100192)),x100198),f775(f303(f856(x100197,x100196),f856(x100191,x100192),f252(x100197,x100191,x100196,x100192,x100193,x100195)),x100194)))
% 184.29/184.10 [10031]~P1(f775(f775(f334(f856(x100318,x100317)),x100316),f775(f303(f856(x100311,x100312),f856(x100318,x100317),f252(x100311,x100318,x100312,x100317,x100315,x100314)),x100313)))+P1(f775(f775(f334(f856(x100311,x100312)),f775(f775(f241(x100311,x100312),f573(x100313,x100314,x100315,x100312,x100311,x100316,x100317,x100318)),f574(x100313,x100314,x100315,x100312,x100311,x100316,x100317,x100318))),x100313))
% 184.29/184.10 [9518]P1(f775(f775(f334(f856(f856(x95181,x95182),f856(x95181,x95182))),f775(f775(f241(f856(x95181,x95182),f856(x95181,x95182)),f775(f775(f241(x95181,x95182),x95183),x95184)),f775(f775(f241(x95181,x95182),x95185),x95186))),f325(x95181,x95182,x95187,x95188)))+~P1(f775(f775(f334(f856(x95181,x95181)),f775(f775(f241(x95181,x95181),x95183),x95185)),x95187))
% 184.29/184.10 [8410]E(f775(x84101,f775(x84102,x84103)),f775(x84104,f775(x84105,x84103)))+~E(f775(f75(x84106,x84107,x84108,x84101),x84102),f775(f75(x84109,x84107,x84108,x84104),x84105))
% 184.29/184.10 [9891]P1(f775(f775(f334(f856(x98911,x98912)),f775(f775(f241(x98911,x98912),f775(x98913,x98914)),f775(x98915,x98916))),f775(f303(f856(x98917,x98918),f856(x98911,x98912),f252(x98917,x98911,x98918,x98912,x98913,x98915)),x98919)))+~P1(f775(f775(f334(f856(x98917,x98918)),f775(f775(f241(x98917,x98918),x98914),x98916)),x98919))
% 184.29/184.10 [8669]~E(f775(x86694,f775(x86695,x86696)),f775(x86699,f775(x866910,x866911)))+E(f775(f775(f75(x86691,x86692,x86693,x86694),x86695),x86696),f775(f775(f75(x86697,x86692,x86698,x86699),x866910),x866911))
% 184.29/184.10 [4493]~P100(x44931)+~P92(x44931)+E(f179(x44931),f103(x44931))
% 184.29/184.10 [4494]~P100(x44941)+~P98(x44941)+E(f236(x44941),f104(x44941))
% 184.29/184.10 [4728]~P110(x47281)+~P88(x47281)+E(f775(f77(x47281),f775(f106(x47281),a99)),f80(x47281))
% 184.29/184.10 [5003]E(x50031,f2(a1))+E(f84(a1,x50031),f775(f81(a1),f80(a1)))+P1(f775(f775(f233(a1),f2(a1)),x50031))
% 184.29/184.10 [5205]E(x52051,f2(a1))+E(f84(a1,x52051),f80(a1))+~P1(f775(f775(f233(a1),f2(a1)),x52051))
% 184.29/184.10 [7254]~P38(x72541)+P1(f775(f63(a1),x72541))+~P1(f775(f63(a850),f775(f303(a1,a850,a107),x72541)))
% 184.29/184.10 [8516]~P13(a5000)+~P1(f775(f775(f334(f856(a846,a845)),x85161),f775(f158(f856(a846,a845)),a29)))+P1(f775(f775(f251(a846,a845,a844),f775(f18(f857(a845,a844),a846),a26)),x85161))
% 184.29/184.10 [9488]E(x94881,f180(f857(f856(a850,a850),a844)))+~P1(f775(f63(f856(a850,a850)),x94881))+P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),f180(f857(f856(a850,a850),a844))),x94881)),a41))
% 184.29/184.10 [9635]E(x96351,f2(a850))+E(x96351,f775(a114,f2(a850)))+~P1(f775(f775(f233(a850),x96351),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.10 [9917]E(x99171,f2(a101))+E(f775(f775(f82(a1),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(a23,f775(f775(f43(a101),x99171),f775(f106(a101),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))),f80(a1)),f775(a23,x99171))+E(f52(a101,x99171,f775(f106(a101),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f2(a101))
% 184.29/184.10 [9764]E(x97641,f2(a101))+~E(f52(a101,x97641,f775(f106(a101),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f2(a101))+E(f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(a23,f775(f775(f43(a101),x97641),f775(f106(a101),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))),f775(a23,x97641))
% 184.29/184.10 [4564]~P56(x45641,x45642)+P42(x45641,x45642)+~P43(a844)
% 184.29/184.10 [4504]~P2(x45041)+P33(x45041,x45042)+~E(x45042,f2(x45041))
% 184.29/184.10 [4513]~P110(x45131)+~E(x45132,f2(x45131))+E(f84(x45131,x45132),f2(x45131))
% 184.29/184.10 [4514]~P82(x45141)+~E(x45142,f2(x45141))+E(f84(x45141,x45142),f2(x45141))
% 184.29/184.10 [4520]~P2(x45202)+~P33(x45202,x45201)+E(x45201,f2(x45202))
% 184.29/184.10 [4554]~P110(x45542)+~E(f84(x45542,x45541),f2(x45542))+E(x45541,f2(x45542))
% 184.29/184.10 [4572]~P10(x45722)+~P10(x45721)+P10(f188(x45721,x45722))
% 184.29/184.10 [4573]~P59(x45732)+~P59(x45731)+P59(f858(x45731,x45732))
% 184.29/184.10 [4574]~P59(x45742)+~P59(x45741)+P59(f857(x45741,x45742))
% 184.29/184.10 [4575]~P59(x45752)+~P59(x45751)+P59(f856(x45751,x45752))
% 184.29/184.10 [4576]~P139(x45762)+~P139(x45761)+P139(f856(x45761,x45762))
% 184.29/184.10 [4931]~P10(x49312)+~P10(x49311)+P10(f52(a1,x49311,x49312))
% 184.29/184.10 [4522]~P68(x45221)+~E(x45222,f2(x45221))+E(f775(f81(x45221),x45222),x45222)
% 184.29/184.10 [4526]~P87(x45261)+~E(x45262,f2(a1))+E(f775(f105(x45261),x45262),f2(x45261))
% 184.29/184.10 [4527]~P133(x45271)+~E(x45272,f2(a1))+E(f775(f105(x45271),x45272),f2(x45271))
% 184.29/184.10 [4551]~P69(x45511)+~E(f2(x45511),x45512)+E(f775(f81(x45511),x45512),f2(x45511))
% 184.29/184.10 [4552]~P69(x45521)+~E(x45522,f2(x45521))+E(f775(f81(x45521),x45522),f2(x45521))
% 184.29/184.10 [4553]~P79(x45531)+~E(x45532,f2(x45531))+E(f775(f77(x45531),x45532),f2(x45531))
% 184.29/184.10 [4578]~P68(x45782)+E(x45781,f2(x45782))+~E(f775(f81(x45782),x45781),x45781)
% 184.29/184.10 [4586]E(x45861,f775(a107,x45862))+~E(x45861,f2(a850))+~E(x45862,f775(f102(a1),x45861))
% 184.29/184.10 [4587]E(f775(a107,x45871),x45872)+~E(x45872,f2(a850))+~E(x45871,f775(f102(a1),x45872))
% 184.29/184.10 [4591]~P87(x45912)+E(x45911,f2(a1))+~E(f775(f105(x45912),x45911),f2(x45912))
% 184.29/184.10 [4596]~P69(x45962)+E(x45961,f2(x45962))+~E(f775(f81(x45962),x45961),f2(x45962))
% 184.29/184.10 [4597]~P79(x45972)+E(x45971,f2(x45972))+~E(f775(f77(x45972),x45971),f2(x45972))
% 184.29/184.10 [4598]~P69(x45981)+E(f2(x45981),x45982)+~E(f775(f81(x45981),x45982),f2(x45981))
% 184.29/184.10 [4732]~P13(a5000)+~E(f775(a30,x47322),f775(f227(a845),x47321))+P1(f775(a26,x47321))
% 184.29/184.10 [4771]~P100(x47711)+~P18(x47711,x47712)+P18(x47711,f775(f157(x47711),x47712))
% 184.29/184.10 [4797]~P1(x47972)+~P1(x47971)+P1(f775(f775(a331,x47971),x47972))
% 184.29/184.10 [4831]~E(f80(a850),f2(a850))+E(f775(f42(x48311),x48312),f2(a850))+~P1(f775(f63(x48311),x48312))
% 184.29/184.10 [4862]~P105(x48621)+~P136(x48621)+E(f775(f775(f242(x48621),f2(x48621)),f775(a114,x48622)),f2(x48621))
% 184.29/184.10 [4902]~P100(x49021)+P18(x49021,f130(x49021,x49022))+~P1(f775(f63(x49021),x49022))
% 184.29/184.10 [4922]~P100(x49221)+E(f775(f158(x49221),f130(x49221,x49222)),x49222)+~P1(f775(f63(x49221),x49222))
% 184.29/184.10 [4956]P1(x49561)+P1(x49562)+~P1(f775(f775(a332,x49562),x49561))
% 184.29/184.10 [4968]E(x49681,f180(f857(x49682,a844)))+~E(f775(f42(x49682),x49681),f2(a850))+~P1(f775(f63(x49682),x49681))
% 184.29/184.10 [4973]P1(x49731)+~P1(x49732)+~P1(f775(f775(a335,x49732),x49731))
% 184.29/184.10 [5021]~P65(x50211)+E(f775(f77(x50211),x50212),x50212)+P1(f775(f775(f233(x50211),x50212),f2(x50211)))
% 184.29/184.10 [5118]~P1(f775(a26,x51182))+~P1(f775(a26,x51181))+P1(f775(a26,f36(x51181,x51182)))
% 184.29/184.10 [5125]E(x51251,f115(x51252))+P1(f775(f127(x51252),f116(x51252,x51251)))+~P1(f775(f127(x51252),x51251))
% 184.29/184.10 [5130]~P100(x51301)+~P1(f775(f63(x51301),x51302))+P1(f775(f127(x51301),f130(x51301,x51302)))
% 184.29/184.10 [5136]~P133(x51361)+E(f775(f102(x51361),f775(a107,x51362)),f775(f105(x51361),x51362))+P1(f775(f775(f233(a1),x51362),f2(a1)))
% 184.29/184.10 [5162]P11(x51622,x51621)+E(f775(x51621,f504(x51621)),f775(x51621,f520(x51621)))+P1(f775(f775(x51621,f504(x51621)),f520(x51621)))
% 184.29/184.10 [5175]E(f775(f102(a1),f616(x51751,x51752)),x51751)+P1(f775(x51752,f775(a107,x51751)))+~P1(f775(x51752,f2(a850)))
% 184.29/184.10 [5215]~P110(x52151)+~E(f84(x52151,x52152),f775(f81(x52151),f80(x52151)))+P1(f775(f775(f233(x52151),x52152),f2(x52151)))
% 184.29/184.10 [5288]~E(x52882,f2(a1))+E(f210(x52881,x52882),f775(f775(f241(a1,a1),f2(a1)),f80(a1)))+P1(f775(f775(f233(a1),x52882),f2(a1)))
% 184.29/184.10 [5289]~E(x52891,f2(a1))+E(f210(x52891,x52892),f775(f775(f241(a1,a1),f2(a1)),f80(a1)))+P1(f775(f775(f233(a1),x52892),f2(a1)))
% 184.29/184.10 [5340]E(f775(f102(a1),f616(x53401,x53402)),x53401)+P1(f775(x53402,f775(a107,x53401)))+P1(f775(f775(f233(a1),x53401),f2(a1)))
% 184.29/184.10 [5406]~P110(x54061)+E(f84(x54061,x54062),f775(f81(x54061),f80(x54061)))+~P1(f775(f775(f233(x54061),x54062),f2(x54061)))
% 184.29/184.10 [5407]~P79(x54071)+E(f775(f77(x54071),x54072),f775(f81(x54071),x54072))+~P1(f775(f775(f233(x54071),x54072),f2(x54071)))
% 184.29/184.10 [5408]~P79(x54081)+E(f775(f77(x54081),x54082),f775(f81(x54081),x54082))+~P1(f775(f775(f232(x54081),x54082),f2(x54081)))
% 184.29/184.10 [5409]~P65(x54091)+E(f775(f77(x54091),x54092),f775(f81(x54091),x54092))+~P1(f775(f775(f233(x54091),x54092),f2(x54091)))
% 184.29/184.10 [5501]~P1(f775(x55011,f616(x55012,x55011)))+P1(f775(x55011,f775(a107,x55012)))+~P1(f775(x55011,f2(a850)))
% 184.29/184.10 [5508]E(x55081,f2(a850))+E(f775(a114,f559(x55082,x55081)),x55081)+~P1(f775(f775(f233(a850),x55081),f775(a114,x55082)))
% 184.29/184.10 [5511]P11(x55111,x55112)+~E(f775(x55112,f504(x55112)),f775(x55112,f520(x55112)))+~P1(f775(f775(x55112,f504(x55112)),f520(x55112)))
% 184.29/184.10 [5530]~P100(x55301)+P18(x55301,x55302)+P1(f775(f775(f232(a850),f760(x55302,x55301)),f761(x55302,x55301)))
% 184.29/184.10 [5616]~P79(x56161)+~E(x56162,f2(x56161))+P1(f775(f775(f232(x56161),f775(f77(x56161),x56162)),f2(x56161)))
% 184.29/184.10 [5705]~P1(f775(x57051,f616(x57052,x57051)))+P1(f775(x57051,f775(a107,x57052)))+P1(f775(f775(f233(a1),x57052),f2(a1)))
% 184.29/184.10 [5731]~P1(f775(x57311,f775(a107,x57312)))+P1(f775(x57311,f2(a850)))+~P1(f775(f775(f233(a1),x57312),f2(a1)))
% 184.29/184.10 [6075]~P110(x60751)+~P1(f775(f775(f233(x60751),x60752),f2(x60751)))+P1(f775(f775(f233(x60751),f84(x60751,x60752)),f2(x60751)))
% 184.29/184.10 [6192]~P110(x61921)+P1(f775(f775(f233(x61921),f775(f105(x61921),x61922)),f2(x61921)))+~P1(f775(f775(f233(a1),x61922),f2(a1)))
% 184.29/184.10 [6193]~P110(x61931)+P1(f775(f775(f232(x61931),f775(f105(x61931),x61932)),f2(x61931)))+~P1(f775(f775(f232(a1),x61932),f2(a1)))
% 184.29/184.10 [6198]~P79(x61982)+E(x61981,f2(x61982))+~P1(f775(f775(f232(x61982),f775(f77(x61982),x61981)),f2(x61982)))
% 184.29/184.10 [6283]~P133(x62831)+~P1(f775(f775(f334(x62831),x62832),f112(x62831)))+P1(f775(f775(f334(x62831),f775(f81(x62831),x62832)),f112(x62831)))
% 184.29/184.10 [6315]~P110(x63151)+~P1(f775(f775(f233(x63151),f84(x63151,x63152)),f2(x63151)))+P1(f775(f775(f233(x63151),x63152),f2(x63151)))
% 184.29/184.10 [6396]~P99(x63961)+P50(a850,x63961,f279(a850),x63962)+P1(f775(f775(f279(a850),f377(x63962,x63961)),f393(x63962,x63961)))
% 184.29/184.10 [6494]~P110(x64942)+~P1(f775(f775(f233(x64942),f775(f105(x64942),x64941)),f2(x64942)))+P1(f775(f775(f233(a1),x64941),f2(a1)))
% 184.29/184.10 [6495]~P110(x64952)+~P1(f775(f775(f232(x64952),f775(f105(x64952),x64951)),f2(x64952)))+P1(f775(f775(f232(a1),x64951),f2(a1)))
% 184.29/184.10 [7024]~P68(x70241)+~P1(f775(f775(f233(x70241),x70242),f2(x70241)))+P1(f775(f775(f233(x70241),f775(f775(f82(x70241),x70242),x70242)),f2(x70241)))
% 184.29/184.10 [7025]~P110(x70251)+~P1(f775(f775(f233(x70251),x70252),f2(x70251)))+P1(f775(f775(f233(x70251),f775(f775(f82(x70251),x70252),x70252)),f2(x70251)))
% 184.29/184.10 [7026]~P68(x70261)+~P1(f775(f775(f232(x70261),x70262),f2(x70261)))+P1(f775(f775(f232(x70261),f775(f775(f82(x70261),x70262),x70262)),f2(x70261)))
% 184.29/184.10 [7621]~P68(x76211)+~P1(f775(f775(f233(x76211),f775(f775(f82(x76211),x76212),x76212)),f2(x76211)))+P1(f775(f775(f233(x76211),x76212),f2(x76211)))
% 184.29/184.10 [7622]~P110(x76221)+~P1(f775(f775(f233(x76221),f775(f775(f82(x76221),x76222),x76222)),f2(x76221)))+P1(f775(f775(f233(x76221),x76222),f2(x76221)))
% 184.29/184.10 [7623]~P68(x76231)+~P1(f775(f775(f232(x76231),f775(f775(f82(x76231),x76232),x76232)),f2(x76231)))+P1(f775(f775(f232(x76231),x76232),f2(x76231)))
% 184.29/184.10 [4635]~E(x46352,f2(a850))+~E(x46351,f2(a850))+E(f775(f775(f82(a850),x46351),x46352),f2(a850))
% 184.29/184.10 [4636]~E(x46362,f80(a850))+~E(x46361,f80(a850))+E(f775(f775(f83(a850),x46361),x46362),f80(a850))
% 184.29/184.10 [4637]~E(x46372,f80(a1))+~E(x46371,f80(a1))+E(f775(f775(f83(a1),x46371),x46372),f80(a1))
% 184.29/184.10 [4687]~P7(x46872)+E(x46871,f2(x46872))+E(f775(f775(f43(x46872),x46871),x46871),f80(x46872))
% 184.29/184.10 [4688]~P113(x46882)+E(x46881,f2(x46882))+E(f775(f775(f283(x46882),x46881),x46881),f80(x46882))
% 184.29/184.10 [4689]~P114(x46892)+E(x46891,f2(x46892))+E(f775(f775(f283(x46892),x46891),x46891),f80(x46892))
% 184.29/184.10 [4704]~P68(x47041)+~E(x47042,f2(x47041))+E(f775(f775(f82(x47041),x47042),x47042),f2(x47041))
% 184.29/184.10 [4707]~P120(x47071)+~E(x47072,f80(x47071))+E(f775(f775(f83(x47071),x47072),x47072),f80(x47071))
% 184.29/184.10 [4708]~P114(x47081)+~E(x47082,f2(x47081))+E(f775(f775(f283(x47081),x47082),x47082),f2(x47081))
% 184.29/184.10 [4752]~E(x47522,f2(a850))+~E(x47521,f2(a850))+E(f775(f81(a1),f775(f102(a1),x47521)),f775(f102(a1),x47522))
% 184.29/184.10 [4770]E(x47701,f80(a850))+E(x47702,f2(a850))+~E(f775(f775(f83(a850),x47702),x47701),x47702)
% 184.29/184.10 [4778]E(x47781,f2(a850))+E(x47782,f2(a850))+~E(f775(f775(f83(a850),x47782),x47781),f2(a850))
% 184.29/184.10 [4806]~E(x48062,f2(a850))+~E(x48061,f775(a114,f2(a850)))+E(f775(f775(f82(a850),x48061),x48062),f775(a114,f2(a850)))
% 184.29/184.10 [4807]~E(x48071,f2(a850))+~E(x48072,f775(a114,f2(a850)))+E(f775(f775(f82(a850),x48071),x48072),f775(a114,f2(a850)))
% 184.29/184.10 [4812]E(x48121,f80(a1))+E(x48122,f775(f106(a1),a99))+~E(f775(f775(f83(a1),x48121),x48122),f80(a1))
% 184.29/184.10 [4813]E(x48131,f80(a1))+E(x48132,f775(f106(a1),a99))+~E(f775(f775(f83(a1),x48132),x48131),f80(a1))
% 184.29/184.10 [4814]E(x48141,f80(a1))+E(x48141,f775(f106(a1),a99))+~E(f775(f775(f83(a1),x48142),x48141),f80(a1))
% 184.29/184.10 [4816]E(x48161,f80(a1))+E(x48161,f775(f106(a1),a99))+~E(f775(f775(f83(a1),x48161),x48162),f80(a1))
% 184.29/184.10 [4835]~P68(x48352)+E(x48351,f2(x48352))+~E(f775(f775(f82(x48352),x48351),x48351),f2(x48352))
% 184.29/184.10 [4841]~E(x48411,f775(f106(a1),a99))+~E(x48412,f775(f106(a1),a99))+E(f775(f775(f83(a1),x48411),x48412),f80(a1))
% 184.29/184.10 [4853]E(x48531,f2(a850))+E(x48532,f2(a850))+~E(f775(f775(f82(a850),x48532),x48531),f775(a114,f2(a850)))
% 184.29/184.10 [4861]~P88(x48611)+~P60(x48611)+E(f775(f775(f283(x48611),x48612),f775(f106(x48611),a85)),f2(x48611))
% 184.29/184.10 [4868]~P120(x48681)+~E(x48682,f775(f81(x48681),f80(x48681)))+E(f775(f775(f83(x48681),x48682),x48682),f80(x48681))
% 184.29/184.10 [4873]~P10(x48732)+~P10(x48731)+P10(f775(f775(f82(a1),x48731),x48732))
% 184.29/184.10 [4874]~P10(x48742)+~P10(x48741)+P10(f775(f775(f83(a1),x48741),x48742))
% 184.29/184.10 [4875]~P10(x48752)+~P10(x48751)+P10(f775(f775(f43(a1),x48751),x48752))
% 184.29/184.10 [4877]~E(x48772,f2(a1))+E(x48771,f2(a1))+E(f53(x48771,x48772),f775(f775(f241(a1,a1),f2(a1)),x48771))
% 184.29/184.10 [4900]~E(x49002,f775(a114,f2(a850)))+~E(x49001,f775(a114,f2(a850)))+E(f775(f775(f83(a850),x49001),x49002),f775(a114,f2(a850)))
% 184.29/184.10 [4913]E(x49131,f2(a850))+E(x49132,f775(a114,f2(a850)))+~E(f775(f775(f242(a850),x49132),x49131),f775(a114,f2(a850)))
% 184.29/184.10 [4914]E(x49141,f2(a850))+E(x49141,f775(a114,f2(a850)))+~E(f775(f775(f82(a850),x49142),x49141),f775(a114,f2(a850)))
% 184.29/184.10 [4915]E(x49151,f2(a850))+E(x49151,f775(a114,f2(a850)))+~E(f775(f775(f82(a850),x49151),x49152),f775(a114,f2(a850)))
% 184.29/184.10 [4923]~P88(x49231)+~P60(x49231)+E(f775(f775(f283(x49231),x49232),f775(f106(x49231),a99)),f775(f81(x49231),x49232))
% 184.29/184.10 [4944]E(x49441,f775(a107,x49442))+~E(x49441,f2(a850))+P1(f775(f775(f232(a1),f2(a1)),x49442))
% 184.29/184.10 [4945]E(f775(a107,x49451),x49452)+~E(x49452,f2(a850))+P1(f775(f775(f232(a1),f2(a1)),x49451))
% 184.29/184.10 [4964]E(x49641,f775(a114,f2(a850)))+E(x49642,f775(a114,f2(a850)))+~E(f775(f775(f82(a850),x49641),x49642),f775(a114,f2(a850)))
% 184.29/184.10 [4975]~E(x49751,f775(a107,x49752))+E(x49751,f2(a850))+P1(f775(f775(f232(a1),f2(a1)),x49752))
% 184.29/184.10 [4976]~E(f775(a107,x49762),x49761)+E(x49761,f2(a850))+P1(f775(f775(f232(a1),f2(a1)),x49762))
% 184.29/184.10 [4999]~P93(x49991)+E(f775(f65(x49991,f103(x49991)),x49992),f15(x49991,x49992))+~P1(f775(f63(x49991),x49992))
% 184.29/184.10 [5000]~P100(x50001)+E(f775(f65(x50001,f179(x50001)),x50002),f16(x50001,x50002))+~P1(f775(f63(x50001),x50002))
% 184.29/184.10 [5001]~P100(x50011)+E(f775(f65(x50011,f236(x50011)),x50012),f17(x50011,x50012))+~P1(f775(f63(x50011),x50012))
% 184.29/184.10 [5002]~P93(x50021)+E(f775(f65(x50021,f104(x50021)),x50022),f12(x50021,x50022))+~P1(f775(f63(x50021),x50022))
% 184.29/184.10 [5085]E(x50851,x50852)+~E(f775(f775(f3(a850),x50852),x50851),f2(a850))+~E(f775(f775(f3(a850),x50851),x50852),f2(a850))
% 184.29/184.10 [5095]P10(x50951)+~P38(x50952)+~P1(f775(f775(f334(a1),x50951),x50952))
% 184.29/184.10 [5126]~P110(x51261)+~E(f84(x51261,x51262),f80(x51261))+P1(f775(f775(f233(x51261),f2(x51261)),x51262))
% 184.29/184.10 [5137]~P88(x51371)+E(f775(f102(x51371),f775(f106(a850),x51372)),f775(f106(x51371),x51372))+P1(f775(a186,f775(f106(a1),x51372)))
% 184.29/184.10 [5142]~P42(x51421,x51422)+P43(a844)+P1(f775(f63(f856(x51421,x51421)),x51422))
% 184.29/184.10 [5207]~P100(x52071)+E(f775(f65(x52071,f179(x52071)),x52072),f13(x52071,f179(x52071),x52072))+~P1(f775(f63(x52071),x52072))
% 184.29/184.10 [5208]~P100(x52081)+E(f775(f65(x52081,f236(x52081)),x52082),f14(x52081,f236(x52081),x52082))+~P1(f775(f63(x52081),x52082))
% 184.29/184.10 [5222]E(x52221,x52222)+P1(f775(f775(f233(a850),x52222),x52221))+P1(f775(f775(f233(a850),x52221),x52222))
% 184.29/184.10 [5223]E(x52231,x52232)+P1(f775(f775(f233(a1),x52232),x52231))+P1(f775(f775(f233(a1),x52231),x52232))
% 184.29/184.10 [5275]~P88(x52751)+E(f775(f102(x52751),f775(f106(a850),x52752)),f2(x52751))+~P1(f775(a186,f775(f106(a1),x52752)))
% 184.29/184.10 [5278]~E(x52782,f775(a107,x52781))+E(x52781,f775(f102(a1),x52782))+~P1(f775(f775(f232(a1),f2(a1)),x52781))
% 184.29/184.10 [5279]~E(f775(a107,x52791),x52792)+E(x52791,f775(f102(a1),x52792))+~P1(f775(f775(f232(a1),f2(a1)),x52791))
% 184.29/184.10 [5280]~E(x52801,f775(a107,x52802))+E(f775(f102(a1),x52801),x52802)+~P1(f775(f775(f232(a1),f2(a1)),x52802))
% 184.29/184.10 [5290]E(x52901,f775(a107,x52902))+~E(x52902,f775(f102(a1),x52901))+~P1(f775(f775(f232(a1),f2(a1)),x52902))
% 184.29/184.10 [5291]E(f775(a107,x52911),x52912)+~E(x52911,f775(f102(a1),x52912))+~P1(f775(f775(f232(a1),f2(a1)),x52911))
% 184.29/184.10 [5320]~P85(x53202)+E(x53201,f2(x53202))+~P1(f775(f775(f279(x53202),f2(x53202)),x53201))
% 184.29/184.10 [5329]~P79(x53292)+E(x53291,f2(x53292))+P1(f775(f775(f233(x53292),f2(x53292)),f775(f77(x53292),x53291)))
% 184.29/184.10 [5397]~P110(x53971)+E(f84(x53971,x53972),f80(x53971))+~P1(f775(f775(f233(x53971),f2(x53971)),x53972))
% 184.29/184.10 [5403]~P88(x54031)+E(f775(f102(x54031),f775(f106(a850),x54032)),f2(x54031))+P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x54032)))
% 184.29/184.10 [5410]~P79(x54101)+E(f775(f77(x54101),x54102),x54102)+~P1(f775(f775(f233(x54101),f2(x54101)),x54102))
% 184.29/184.10 [5411]~P79(x54111)+E(f775(f77(x54111),x54112),x54112)+~P1(f775(f775(f232(x54111),f2(x54111)),x54112))
% 184.29/184.10 [5418]E(x54181,f2(a850))+~E(f130(a850,f775(f294(a850,x54182),x54181)),f115(a850))+P1(f775(f775(f232(a850),x54181),x54182))
% 184.29/184.10 [5428]~P66(x54281)+E(f775(f775(f8(x54281,x54281),f7(x54281)),f775(f158(x54281),x54282)),f775(f155(x54281),x54282))+~P1(f775(f127(x54281),x54282))
% 184.29/184.10 [5431]~P133(x54311)+E(f775(f102(x54311),f775(a107,x54312)),f775(f105(x54311),x54312))+~P1(f775(f775(f232(a1),f2(a1)),x54312))
% 184.29/184.10 [5454]E(x54541,x54542)+P1(f775(f775(f233(a850),x54541),x54542))+~P1(f775(f775(f232(a850),x54541),x54542))
% 184.29/184.10 [5455]E(x54551,x54552)+P1(f775(f775(f233(a1),x54551),x54552))+~P1(f775(f775(f232(a1),x54551),x54552))
% 184.29/184.10 [5458]E(x54581,f80(a1))+~E(f775(f775(f83(a1),x54582),x54581),f80(a1))+~P1(f775(f775(f233(a1),f2(a1)),x54582))
% 184.29/184.10 [5459]E(x54591,f80(a1))+~E(f775(f775(f83(a1),x54591),x54592),f80(a1))+~P1(f775(f775(f233(a1),f2(a1)),x54591))
% 184.29/184.10 [5498]~P38(x54982)+P1(f775(f775(f232(a1),f2(a1)),x54981))+~P1(f775(f775(f334(a1),x54981),x54982))
% 184.29/184.10 [5516]~P56(x55161,x55162)+P36(x55161,x55162)+~P1(f775(f63(f856(x55161,x55161)),x55162))
% 184.29/184.10 [5518]~P56(x55181,x55182)+P42(x55181,x55182)+~P1(f775(f63(f856(x55181,x55181)),x55182))
% 184.29/184.10 [5558]E(x55581,f180(f857(x55582,a844)))+~P1(f775(f63(x55582),x55581))+P1(f775(f775(f233(a850),f2(a850)),f775(f42(x55582),x55581)))
% 184.29/184.10 [5584]~P1(f775(x55841,x55842))+P1(f775(x55841,f2(a850)))+P1(f775(f775(f233(a850),f792(x55842,x55841)),x55842))
% 184.29/184.10 [5609]E(x56091,f2(a850))+~E(f775(f155(a850),x56092),f2(a850))+~P1(f775(f775(f334(a850),x56091),f775(f158(a850),x56092)))
% 184.29/184.10 [5671]~E(x56712,f2(a850))+P1(f775(f775(f232(a1),f2(a1)),x56711))+P1(f775(f775(f279(a850),f775(a107,x56711)),x56712))
% 184.29/184.10 [5674]E(x56741,x56742)+~P1(f775(f775(f232(a850),x56742),x56741))+~P1(f775(f775(f232(a850),x56741),x56742))
% 184.29/184.10 [5675]E(x56751,x56752)+~P1(f775(f775(f232(a1),x56752),x56751))+~P1(f775(f775(f232(a1),x56751),x56752))
% 184.29/184.10 [5684]E(x56841,x56842)+~P1(f775(f775(f279(a850),x56842),x56841))+~P1(f775(f775(f279(a850),x56841),x56842))
% 184.29/184.10 [5685]E(f775(f42(x56851),x56852),f2(a850))+~P1(f775(f63(x56851),x56852))+P1(f775(f775(f334(x56851),f618(x56852,x56851)),x56852))
% 184.29/184.10 [5691]E(f57(x56911,x56912),f53(x56911,x56912))+P1(f775(f775(f232(a1),f2(a1)),x56911))+~P1(f775(f775(f233(a1),f2(a1)),x56912))
% 184.29/184.10 [5720]~P1(f775(x57201,f778(x57201)))+P1(f775(x57201,f775(a107,x57202)))+~P1(f775(f775(f232(a1),f2(a1)),x57202))
% 184.29/184.10 [5722]P1(f775(f775(f233(a850),x57221),f401(x57222)))+~P1(f775(f63(a850),x57222))+~P1(f775(f775(f334(a850),x57221),x57222))
% 184.29/184.10 [5723]P1(f775(f775(f232(a850),x57231),f376(x57232)))+~P1(f775(f63(a850),x57232))+~P1(f775(f775(f334(a850),x57231),x57232))
% 184.29/184.10 [5752]E(x57521,x57522)+~P1(f775(f775(f233(a850),x57521),f775(a114,x57522)))+P1(f775(f775(f233(a850),x57521),x57522))
% 184.29/184.10 [5790]E(x57901,f775(a114,x57902))+~P1(f775(f775(f232(a850),x57901),f775(a114,x57902)))+P1(f775(f775(f232(a850),x57901),x57902))
% 184.29/184.10 [5800]P1(f775(x58001,f779(x58001)))+~P1(f775(x58001,f775(a107,x58002)))+~P1(f775(f775(f232(a1),f2(a1)),x58002))
% 184.29/184.10 [5802]E(f775(f77(a1),x58021),f775(f77(a1),x58022))+~P1(f775(f775(f279(a1),x58022),x58021))+~P1(f775(f775(f279(a1),x58021),x58022))
% 184.29/184.10 [5814]~P1(f775(x58141,x58142))+~P1(f775(f775(f232(a1),f2(a1)),x58142))+P1(f775(x58141,f775(f102(a1),f723(x58141))))
% 184.29/184.10 [5826]~P79(x58262)+~E(x58261,f2(x58262))+~P1(f775(f775(f233(x58262),f2(x58262)),f775(f77(x58262),x58261)))
% 184.29/184.10 [5851]~P56(x58511,x58512)+P36(x58511,f775(f278(x58511,x58511),x58512))+~P1(f775(f63(f856(x58511,x58511)),x58512))
% 184.29/184.10 [5859]~P88(x58591)+E(f775(f102(x58591),f775(f106(a850),x58592)),f775(f106(x58591),x58592))+~P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x58592)))
% 184.29/184.10 [5863]E(f775(a114,x58631),x58632)+~P1(f775(f775(f233(a850),x58631),x58632))+P1(f775(f775(f233(a850),f775(a114,x58631)),x58632))
% 184.29/184.10 [5876]E(f775(f775(f43(a1),x58761),x58762),f2(a1))+~P1(f775(f775(f232(a1),x58761),f2(a1)))+~P1(f775(f775(f233(a1),x58762),x58761))
% 184.29/184.10 [5889]E(f52(a1,x58891,x58892),x58891)+~P1(f775(f775(f232(a1),x58891),f2(a1)))+~P1(f775(f775(f233(a1),x58892),x58891))
% 184.29/184.10 [5902]E(f54(x59021,x59022),f53(x59021,x59022))+~P1(f775(f775(f232(a1),f2(a1)),x59021))+~P1(f775(f775(f232(a1),f2(a1)),x59022))
% 184.29/184.10 [5910]E(f775(f775(f43(a1),x59101),x59102),f2(a1))+~P1(f775(f775(f232(a1),f2(a1)),x59101))+~P1(f775(f775(f233(a1),x59101),x59102))
% 184.29/184.10 [5924]E(f52(a850,f775(f106(a850),x59241),f775(f106(a850),x59242)),f775(f106(a850),x59241))+P1(f775(a186,f775(f106(a1),x59241)))+~P1(f775(a186,f775(f106(a1),x59242)))
% 184.29/184.10 [5926]E(f52(a1,x59261,x59262),x59261)+~P1(f775(f775(f232(a1),f2(a1)),x59261))+~P1(f775(f775(f233(a1),x59261),x59262))
% 184.29/184.10 [5928]E(x59281,x59282)+~P1(f775(f775(f233(a850),x59281),f775(a114,x59282)))+~P1(f775(f775(f232(a850),x59282),x59281))
% 184.29/184.10 [5944]~P110(x59441)+~P1(f775(f775(f233(x59441),x59442),f2(x59441)))+P1(f775(f775(f233(x59441),x59442),f775(f81(x59441),x59442)))
% 184.29/184.10 [5945]~P68(x59451)+~P1(f775(f775(f232(x59451),x59452),f2(x59451)))+P1(f775(f775(f232(x59451),x59452),f775(f81(x59451),x59452)))
% 184.29/184.10 [5954]~P9(x59541)+E(f775(f775(f66(x59541,x59541,f104(x59541)),f239(x59541)),x59542),f45(x59541,x59542))+~P1(f775(f63(x59541),x59542))
% 184.29/184.10 [5955]~P9(x59551)+E(f775(f775(f66(x59551,x59551,f103(x59551)),f180(x59551)),x59552),f44(x59551,x59552))+~P1(f775(f63(x59551),x59552))
% 184.29/184.10 [5969]~P117(x59691)+~P1(f775(f775(f233(a850),f2(a850)),x59692))+P1(f775(f775(f233(x59691),f2(x59691)),f775(f102(x59691),x59692)))
% 184.29/184.10 [5970]~P110(x59701)+~P1(f775(f775(f233(a1),f2(a1)),x59702))+P1(f775(f775(f233(x59701),f2(x59701)),f775(f105(x59701),x59702)))
% 184.29/184.10 [5971]~P110(x59711)+~P1(f775(f775(f232(a1),f2(a1)),x59712))+P1(f775(f775(f232(x59711),f2(x59711)),f775(f105(x59711),x59712)))
% 184.29/184.10 [5974]~P10(x59742)+~P10(x59741)+E(f775(f303(a850,a1,f102(a1)),f295(a850,f775(a107,x59741),f775(a107,x59742))),f295(a1,x59741,x59742))
% 184.29/184.10 [5980]P1(f775(x59801,x59802))+~P1(f775(f775(f232(a1),f2(a1)),x59802))+~P1(f775(x59801,f775(f102(a1),f747(x59801))))
% 184.29/184.10 [6007]E(f775(f775(f82(a850),f775(f106(a850),x60071)),f775(f106(a850),x60072)),f775(f106(a850),x60071))+P1(f775(f775(f233(a1),x60071),a85))+~P1(f775(f775(f233(a1),x60072),a85))
% 184.29/184.10 [6011]~P110(x60111)+P1(f775(f775(f233(x60111),f2(x60111)),f84(x60111,x60112)))+~P1(f775(f775(f233(x60111),f2(x60111)),x60112))
% 184.29/184.10 [6025]~P77(x60251)+~P1(f775(f775(f233(x60251),x60252),f2(x60251)))+P1(f775(f775(f233(x60251),f2(x60251)),f775(f81(x60251),x60252)))
% 184.29/184.10 [6026]~P77(x60261)+~P1(f775(f775(f232(x60261),x60262),f2(x60261)))+P1(f775(f775(f232(x60261),f2(x60261)),f775(f81(x60261),x60262)))
% 184.29/184.10 [6029]E(x60291,f2(a850))+P1(f775(f775(f232(a1),f2(a1)),x60292))+~P1(f775(f775(f279(a850),f775(a107,x60292)),x60291))
% 184.29/184.10 [6030]E(x60301,f239(f857(x60302,a844)))+~E(f775(f42(x60302),x60301),f775(f42(x60302),f239(f857(x60302,a844))))+~P1(f775(f63(x60302),f239(f857(x60302,a844))))
% 184.29/184.10 [6061]~P1(f775(f775(f233(a850),f2(a850)),x60612))+~P1(f775(f775(f279(a850),x60611),x60612))+P1(f775(f775(f232(a850),x60611),x60612))
% 184.29/184.10 [6062]~P1(f775(f775(f233(a1),f2(a1)),x60622))+~P1(f775(f775(f279(a1),x60621),x60622))+P1(f775(f775(f232(a1),x60621),x60622))
% 184.29/184.10 [6068]~P110(x60681)+P1(f775(f775(f233(x60681),x60682),f2(x60681)))+~P1(f775(f775(f233(x60681),x60682),f775(f81(x60681),x60682)))
% 184.29/184.10 [6069]~P68(x60691)+P1(f775(f775(f232(x60691),x60692),f2(x60691)))+~P1(f775(f775(f232(x60691),x60692),f775(f81(x60691),x60692)))
% 184.29/184.10 [6077]~P88(x60771)+P1(f775(f775(f334(x60771),f775(f106(x60771),x60772)),f176(x60771)))+~P1(f775(f775(f232(a1),a85),x60772))
% 184.29/184.10 [6107]E(x61071,f2(a850))+~P1(f775(f775(f233(a850),x61071),f775(a114,x61072)))+P1(f775(f775(f233(a850),f559(x61072,x61071)),x61072))
% 184.29/184.10 [6131]~P110(x61311)+~P1(f775(f775(f233(x61311),f2(x61311)),f84(x61311,x61312)))+P1(f775(f775(f233(x61311),f2(x61311)),x61312))
% 184.29/184.10 [6133]~E(f775(f106(a850),x61332),f775(f106(a850),x61331))+P1(f775(f775(f232(a1),f775(f106(a1),x61331)),f2(a1)))+~P1(f775(a186,f775(f106(a1),x61332)))
% 184.29/184.10 [6161]E(f775(f240(a1,a1),f57(x61611,x61612)),f775(f775(f43(a1),x61611),x61612))+~P1(f775(f775(f233(a1),x61611),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x61612))
% 184.29/184.10 [6195]E(f775(f250(a1,a1),f57(x61951,x61952)),f52(a1,x61951,x61952))+~P1(f775(f775(f233(a1),x61951),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x61952))
% 184.29/184.10 [6197]E(x61971,f2(a1))+~P1(f775(f775(f279(a1),x61972),x61971))+P1(f775(f775(f232(a1),f775(f77(a1),x61972)),f775(f77(a1),x61971)))
% 184.29/184.10 [6199]~P117(x61992)+~P1(f775(f775(f233(x61992),f2(x61992)),f775(f102(x61992),x61991)))+P1(f775(f775(f233(a850),f2(a850)),x61991))
% 184.29/184.10 [6200]~P110(x62002)+~P1(f775(f775(f233(x62002),f2(x62002)),f775(f105(x62002),x62001)))+P1(f775(f775(f233(a1),f2(a1)),x62001))
% 184.29/184.10 [6201]~P110(x62012)+~P1(f775(f775(f232(x62012),f2(x62012)),f775(f105(x62012),x62011)))+P1(f775(f775(f232(a1),f2(a1)),x62011))
% 184.29/184.10 [6205]~E(x62052,f2(a850))+P1(f775(f775(f279(a850),f775(a107,x62051)),x62052))+~P1(f775(f775(f279(a1),x62051),f775(f102(a1),x62052)))
% 184.29/184.10 [6206]E(f775(f240(a1,a1),f54(x62061,x62062)),f775(f775(f43(a1),x62061),x62062))+~P1(f775(f775(f233(a1),f2(a1)),x62061))+~P1(f775(f775(f232(a1),f2(a1)),x62062))
% 184.29/184.10 [6220]E(f775(f250(a1,a1),f54(x62201,x62202)),f52(a1,x62201,x62202))+~P1(f775(f775(f233(a1),f2(a1)),x62201))+~P1(f775(f775(f232(a1),f2(a1)),x62202))
% 184.29/184.10 [6238]~P77(x62381)+P1(f775(f775(f233(x62381),x62382),f2(x62381)))+~P1(f775(f775(f233(x62381),f2(x62381)),f775(f81(x62381),x62382)))
% 184.29/184.10 [6239]~P77(x62391)+P1(f775(f775(f232(x62391),x62392),f2(x62391)))+~P1(f775(f775(f232(x62391),f2(x62391)),f775(f81(x62391),x62392)))
% 184.29/184.10 [6265]P1(f775(f56(x62651,x62652),f57(x62651,x62652)))+~P1(f775(f775(f233(a1),x62651),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x62652))
% 184.29/184.10 [6281]~P1(f775(f775(f233(a850),f2(a850)),x62811))+~P1(f775(f775(f279(a850),x62812),x62811))+~P1(f775(f775(f233(a850),x62811),x62812))
% 184.29/184.10 [6282]~P1(f775(f775(f233(a1),f2(a1)),x62821))+~P1(f775(f775(f279(a1),x62822),x62821))+~P1(f775(f775(f233(a1),x62821),x62822))
% 184.29/184.10 [6294]P1(f775(f56(x62941,x62942),f54(x62941,x62942)))+~P1(f775(f775(f233(a1),f2(a1)),x62942))+~P1(f775(f775(f232(a1),f2(a1)),x62941))
% 184.29/184.10 [6336]~P77(x63361)+P1(f775(f775(f233(x63361),f775(f81(x63361),x63362)),f2(x63361)))+~P1(f775(f775(f233(x63361),f2(x63361)),x63362))
% 184.29/184.10 [6337]~P77(x63371)+P1(f775(f775(f232(x63371),f775(f81(x63371),x63372)),f2(x63371)))+~P1(f775(f775(f232(x63371),f2(x63371)),x63372))
% 184.29/184.10 [6359]E(f775(f775(f3(a850),f775(a107,x63591)),f775(a107,x63592)),f775(a107,f188(x63591,x63592)))+~P1(f775(f775(f232(a1),f2(a1)),x63592))+~P1(f775(f775(f232(a1),f2(a1)),x63591))
% 184.29/184.10 [6377]P1(f775(f775(f232(a1),f2(a1)),f188(x63771,x63772)))+~P1(f775(f775(f232(a1),f2(a1)),x63772))+~P1(f775(f775(f232(a1),f2(a1)),x63771))
% 184.29/184.10 [6416]~P1(f775(x64161,x64162))+P1(f775(x64161,f2(a850)))+P1(f775(x64161,f775(f775(f82(a850),f792(x64162,x64161)),f80(a850))))
% 184.29/184.10 [6502]E(f775(f106(a850),x65021),f775(f106(a850),x65022))+~P1(f775(f775(f232(a1),f775(f106(a1),x65022)),f2(a1)))+~P1(f775(a186,f775(f106(a1),x65021)))
% 184.29/184.10 [6515]~E(x65151,f2(a850))+~E(f736(x65152,x65151),f2(a850))+E(f775(f132(a850,a850,f82(a850),x65151),x65152),f2(a850))
% 184.29/184.10 [6541]~P1(f775(f63(x65411),f670(x65412,x65411)))+~P1(f775(f63(f857(x65411,a844)),x65412))+P1(f775(f63(x65411),f44(f857(x65411,a844),x65412)))
% 184.29/184.10 [6547]E(x65471,x65472)+P1(f775(f775(f233(a1),x65471),x65472))+~P1(f775(f775(f233(a1),x65471),f775(f775(f82(a1),x65472),f80(a1))))
% 184.29/184.10 [6549]P1(f775(f775(f233(a850),f775(a107,x65491)),f775(a107,x65492)))+~P1(f775(f775(f233(a1),f2(a1)),x65492))+~P1(f775(f775(f233(a1),x65491),x65492))
% 184.29/184.10 [6550]P1(f775(f775(f233(a850),f775(a107,x65501)),f775(a107,x65502)))+~P1(f775(f775(f232(a1),f2(a1)),x65501))+~P1(f775(f775(f233(a1),x65501),x65502))
% 184.29/184.10 [6551]P1(f775(f775(f232(a850),f775(a107,x65511)),f775(a107,x65512)))+~P1(f775(f775(f233(a1),f2(a1)),x65511))+~P1(f775(f775(f232(a1),x65511),x65512))
% 184.29/184.10 [6552]P1(f775(f775(f232(a850),f775(a107,x65521)),f775(a107,x65522)))+~P1(f775(f775(f232(a1),f2(a1)),x65522))+~P1(f775(f775(f232(a1),x65521),x65522))
% 184.29/184.10 [6563]E(f52(a850,f775(a107,x65631),f775(a107,x65632)),f775(a107,f52(a1,x65631,x65632)))+~P1(f775(f775(f232(a1),f2(a1)),x65632))+~P1(f775(f775(f232(a1),f2(a1)),x65631))
% 184.29/184.10 [6584]~P77(x65841)+~P1(f775(f775(f233(x65841),f775(f81(x65841),x65842)),f2(x65841)))+P1(f775(f775(f233(x65841),f2(x65841)),x65842))
% 184.29/184.10 [6585]~P77(x65851)+~P1(f775(f775(f232(x65851),f775(f81(x65851),x65852)),f2(x65851)))+P1(f775(f775(f232(x65851),f2(x65851)),x65852))
% 184.29/184.10 [6602]~P1(f775(f775(f233(a1),a85),x66022))+~P1(f775(f775(f233(a1),x66021),x66022))+P1(f775(f775(f233(a850),f775(f106(a850),x66021)),f775(f106(a850),x66022)))
% 184.29/184.10 [6700]~P1(f775(f775(f232(a1),f2(a1)),x67001))+P1(f775(f775(f233(a850),f775(a107,x67001)),x67002))+~P1(f775(f775(f233(a1),x67001),f775(f102(a1),x67002)))
% 184.29/184.10 [6701]~P1(f775(f775(f232(a1),f2(a1)),x67011))+P1(f775(f775(f279(a850),f775(a107,x67011)),x67012))+~P1(f775(f775(f279(a1),x67011),f775(f102(a1),x67012)))
% 184.29/184.10 [6718]E(x67181,f2(a1))+E(f52(a1,x67182,x67181),f2(a1))+E(f775(f775(f3(a1),f775(f81(a1),f775(f775(f43(a1),x67182),x67181))),f80(a1)),f775(f775(f43(a1),x67182),f775(f81(a1),x67181)))
% 184.29/184.10 [6734]~P1(f775(f775(f232(a1),f2(a1)),x67341))+~P1(f775(f775(f233(a850),f775(a107,x67341)),x67342))+P1(f775(f775(f233(a1),x67341),f775(f102(a1),x67342)))
% 184.29/184.10 [6735]~P1(f775(f775(f232(a1),f2(a1)),x67351))+~P1(f775(f775(f279(a850),f775(a107,x67351)),x67352))+P1(f775(f775(f279(a1),x67351),f775(f102(a1),x67352)))
% 184.29/184.10 [6775]~P1(f775(f775(f232(a850),f775(a107,x67751)),f775(a107,x67752)))+~P1(f775(f775(f233(a1),f2(a1)),x67751))+P1(f775(f775(f232(a1),x67751),x67752))
% 184.29/184.10 [6776]~P1(f775(f775(f232(a850),f775(a107,x67761)),f775(a107,x67762)))+~P1(f775(f775(f232(a1),f2(a1)),x67762))+P1(f775(f775(f232(a1),x67761),x67762))
% 184.29/184.10 [6807]P1(f775(f775(f232(a1),x68071),x68072))+~P1(f775(f775(f232(a850),f775(f106(a850),x68071)),f775(f106(a850),x68072)))+P1(f775(f775(f232(a1),x68071),a85))
% 184.29/184.10 [6834]P1(f775(f775(f232(a1),f2(a1)),f52(a1,x68341,x68342)))+~P1(f775(f775(f232(a1),f2(a1)),x68342))+~P1(f775(f775(f232(a1),f2(a1)),x68341))
% 184.29/184.10 [6934]P1(f775(f775(f233(a1),a85),x69341))+~P1(f775(f775(f233(a1),x69342),x69341))+~P1(f775(f775(f233(a850),f775(f106(a850),x69342)),f775(f106(a850),x69341)))
% 184.29/184.10 [6982]E(f775(f775(f241(a1,a1),f775(f775(f43(a1),x69821),x69822)),f52(a1,x69821,x69822)),f57(x69821,x69822))+~P1(f775(f775(f233(a1),x69821),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x69822))
% 184.29/184.10 [7003]E(f775(f775(f241(a1,a1),f775(f775(f43(a1),x70031),x70032)),f52(a1,x70031,x70032)),f54(x70031,x70032))+~P1(f775(f775(f232(a1),f2(a1)),x70032))+~P1(f775(f775(f232(a1),f2(a1)),x70031))
% 184.29/184.10 [7059]~P91(x70592)+E(x70591,f115(x70592))+E(f775(f132(x70592,x70592,f83(x70592),f775(f131(x70592),x70591)),f775(f157(x70592),x70591)),f775(f65(x70592,f83(x70592)),f775(f158(x70592),x70591)))
% 184.29/184.10 [7173]~E(x71731,f2(a850))+E(f775(f132(a850,a850,f82(a850),x71731),x71732),f2(a850))+P1(f775(f775(f334(a850),f736(x71732,x71731)),f775(f158(a850),x71732)))
% 184.29/184.10 [7227]~P1(f775(f775(f233(a1),x72272),f2(a1)))+P1(f775(f775(f233(a1),f775(f775(f43(a1),x72271),x72272)),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x72271))
% 184.29/184.10 [7229]~P1(f775(f775(f233(a1),x72291),f2(a1)))+P1(f775(f775(f233(a1),f775(f775(f43(a1),x72291),x72292)),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x72292))
% 184.29/184.10 [7230]~P1(f775(f775(f233(a1),x72302),f2(a1)))+P1(f775(f775(f232(a1),f775(f775(f43(a1),x72301),x72302)),f2(a1)))+~P1(f775(f775(f232(a1),f2(a1)),x72301))
% 184.29/184.10 [7231]~P1(f775(f775(f232(a1),x72311),f2(a1)))+P1(f775(f775(f232(a1),f775(f775(f43(a1),x72311),x72312)),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x72312))
% 184.29/184.10 [7240]P1(f775(f775(f334(f857(x72401,a844)),f670(x72402,x72401)),x72402))+~P1(f775(f63(f857(x72401,a844)),x72402))+P1(f775(f63(x72401),f44(f857(x72401,a844),x72402)))
% 184.29/184.10 [7345]P29(x73451,x73451,x73452,f239(f857(x73451,a844)))+~E(f775(f303(x73451,x73451,x73452),f239(f857(x73451,a844))),f239(f857(x73451,a844)))+~P1(f775(f63(x73451),f239(f857(x73451,a844))))
% 184.29/184.10 [7474]~P29(x74741,x74741,x74742,f239(f857(x74741,a844)))+E(f775(f303(x74741,x74741,x74742),f239(f857(x74741,a844))),f239(f857(x74741,a844)))+~P1(f775(f63(x74741),f239(f857(x74741,a844))))
% 184.29/184.10 [7615]E(f775(f775(f43(a1),x76151),x76152),f775(f106(a1),a99))+~P1(f775(f775(f232(a1),f775(f775(f82(a1),x76151),x76152)),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x76151))
% 184.29/184.10 [7673]~P1(f775(f775(f233(a1),x76732),f2(a1)))+~P1(f775(f775(f233(a1),f775(f775(f43(a1),x76731),x76732)),f2(a1)))+P1(f775(f775(f233(a1),f2(a1)),x76731))
% 184.29/184.10 [7678]E(f775(f775(f82(a1),x76781),x76782),f52(a1,x76781,x76782))+~P1(f775(f775(f232(a1),f775(f775(f82(a1),x76781),x76782)),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x76781))
% 184.29/184.10 [7680]P1(f775(f775(f233(a1),x76801),f2(a1)))+~P1(f775(f775(f233(a1),f775(f775(f43(a1),x76801),x76802)),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x76802))
% 184.29/184.10 [7932]~P99(x79321)+P50(a850,x79321,f279(a850),x79322)+~P1(f775(f775(f232(x79321),f775(x79322,f377(x79322,x79321))),f775(x79322,f393(x79322,x79321))))
% 184.29/184.10 [8374]~P100(x83741)+P18(x83741,x83742)+~P1(f775(f775(f232(x83741),f775(f775(f153(x83741),x83742),f760(x83742,x83741))),f775(f775(f153(x83741),x83742),f761(x83742,x83741))))
% 184.29/184.10 [5552]E(x55521,f2(a1))+~E(f52(a1,x55522,x55521),f2(a1))+E(f775(f775(f43(a1),x55522),f775(f81(a1),x55521)),f775(f81(a1),f775(f775(f43(a1),x55522),x55521)))
% 184.29/184.10 [5569]~P38(x55692)+~P38(x55691)+P38(f775(f775(f103(f857(a1,a844)),x55691),x55692))
% 184.29/184.10 [5570]~P38(x55702)+~P38(x55701)+P38(f775(f775(f104(f857(a1,a844)),x55701),x55702))
% 184.29/184.10 [5587]~P88(x55871)+~P60(x55871)+E(f775(f81(x55871),f775(f775(f283(x55871),f80(x55871)),x55872)),f775(f775(f283(x55871),f775(f106(x55871),a99)),x55872))
% 184.29/184.10 [5712]E(x57121,f2(a1))+~E(f52(a1,x57122,x57121),f2(a1))+E(f775(f775(f43(a1),f775(f81(a1),x57122)),x57121),f775(f81(a1),f775(f775(f43(a1),x57122),x57121)))
% 184.29/184.10 [5846]~P100(x58461)+P18(x58461,x58462)+P1(f775(f775(f233(a850),f761(x58462,x58461)),f775(f181(f851(x58461)),x58462)))
% 184.29/184.10 [6003]~P88(x60031)+~E(f775(f106(x60031),x60032),f2(x60031))+P33(x60031,f775(f106(x60031),f775(f775(f82(a1),x60032),f775(f81(a1),a85))))
% 184.29/184.10 [6004]~P88(x60041)+~E(f775(f106(x60041),x60042),f2(x60041))+P33(x60041,f775(f106(x60041),f775(f775(f82(a1),a85),f775(f81(a1),x60042))))
% 184.29/184.10 [6006]E(f775(a58,f54(f775(f81(a1),x60061),f775(f81(a1),x60062))),f53(x60061,x60062))+P1(f775(f775(f233(a1),f2(a1)),x60062))+P1(f775(f775(f232(a1),f2(a1)),x60061))
% 184.29/184.10 [6139]~E(x61392,f2(a850))+~E(x61391,f2(a850))+P1(f775(f775(f232(a1),f775(f102(a1),x61391)),f775(f81(a1),f775(f102(a1),x61392))))
% 184.29/184.10 [6165]E(f775(f775(f82(a850),f775(f106(a850),x61651)),f775(f106(a850),x61652)),f775(f106(a850),f775(f775(f82(a1),x61651),x61652)))+P1(f775(f775(f233(a1),x61651),a85))+P1(f775(f775(f233(a1),x61652),a85))
% 184.29/184.10 [6303]~P68(x63031)+~P1(f775(f775(f233(x63031),f2(x63031)),x63032))+P1(f775(f775(f233(x63031),f775(f81(x63031),x63032)),x63032))
% 184.29/184.10 [6304]~P68(x63041)+~P1(f775(f775(f232(x63041),f2(x63041)),x63042))+P1(f775(f775(f232(x63041),f775(f81(x63041),x63042)),x63042))
% 184.29/184.10 [6487]E(f775(f775(f3(a850),f775(a107,x64871)),f775(a107,x64872)),f775(a107,f775(f775(f3(a1),x64871),x64872)))+~P1(f775(f775(f232(a1),f2(a1)),x64872))+~P1(f775(f775(f232(a1),x64872),x64871))
% 184.29/184.10 [6524]E(f775(a107,f52(a1,f775(f106(a1),x65241),f775(f106(a1),x65242))),f52(a850,f775(f106(a850),x65241),f775(f106(a850),x65242)))+P1(f775(a186,f775(f106(a1),x65241)))+P1(f775(a186,f775(f106(a1),x65242)))
% 184.29/184.10 [6542]~P68(x65421)+P1(f775(f775(f233(x65421),f2(x65421)),x65422))+~P1(f775(f775(f233(x65421),f775(f81(x65421),x65422)),x65422))
% 184.29/184.10 [6543]~P68(x65431)+P1(f775(f775(f232(x65431),f2(x65431)),x65432))+~P1(f775(f775(f232(x65431),f775(f81(x65431),x65432)),x65432))
% 184.29/184.10 [6554]~P68(x65541)+~P1(f775(f775(f233(x65541),f2(x65541)),x65542))+P1(f775(f775(f233(x65541),f2(x65541)),f775(f775(f82(x65541),x65542),x65542)))
% 184.29/184.10 [6556]~P68(x65561)+~P1(f775(f775(f232(x65561),f2(x65561)),x65562))+P1(f775(f775(f232(x65561),f2(x65561)),f775(f775(f82(x65561),x65562),x65562)))
% 184.29/184.10 [6567]E(f775(f775(f82(a850),f775(a107,x65671)),f775(a107,x65672)),f775(a107,f775(f775(f82(a1),x65671),x65672)))+~P1(f775(f775(f232(a1),f2(a1)),x65672))+~P1(f775(f775(f232(a1),f2(a1)),x65671))
% 184.29/184.10 [6580]E(x65801,f2(a850))+P1(f775(f775(f233(a850),f2(a850)),x65802))+~P1(f775(f775(f233(a850),f2(a850)),f775(f775(f242(a850),x65802),x65801)))
% 184.29/184.10 [6614]~P88(x66141)+E(f775(f106(x66141),x66142),f2(x66141))+~P33(x66141,f775(f106(x66141),f775(f775(f82(a1),a85),f775(f81(a1),x66142))))
% 184.29/184.10 [6615]~P88(x66151)+E(f775(f106(x66151),x66152),f2(x66151))+~P33(x66151,f775(f106(x66151),f775(f775(f82(a1),x66152),f775(f81(a1),a85))))
% 184.29/184.10 [6677]~P1(f775(f63(x66771),x66772))+~P1(f775(f63(x66771),f239(f857(x66771,a844))))+P1(f775(f63(x66771),f775(f81(f857(x66771,a844)),x66772)))
% 184.29/184.10 [6702]~P1(f775(f775(f233(a1),f2(a1)),x67022))+~P1(f775(f775(f232(a1),x67022),x67021))+P1(f775(f775(f233(a1),f2(a1)),f775(f775(f43(a1),x67021),x67022)))
% 184.29/184.10 [6703]~P1(f775(f775(f233(a1),x67032),f2(a1)))+~P1(f775(f775(f232(a1),x67031),f2(a1)))+P1(f775(f775(f232(a1),f2(a1)),f775(f775(f43(a1),x67031),x67032)))
% 184.29/184.10 [6746]~P1(f775(f775(f233(a850),f2(a850)),x67462))+~P1(f775(f775(f233(a850),f2(a850)),x67461))+P1(f775(f775(f233(a850),f2(a850)),f775(f775(f83(a850),x67461),x67462)))
% 184.29/184.10 [6747]~P1(f775(f775(f232(a1),f2(a1)),x67472))+~P1(f775(f775(f232(a1),f2(a1)),x67471))+P1(f775(f775(f232(a1),f2(a1)),f775(f775(f82(a1),x67471),x67472)))
% 184.29/184.10 [6748]~P1(f775(f775(f232(a1),f2(a1)),x67482))+~P1(f775(f775(f232(a1),f2(a1)),x67481))+P1(f775(f775(f232(a1),f2(a1)),f775(f775(f83(a1),x67481),x67482)))
% 184.29/184.10 [6749]~P1(f775(f775(f233(a1),f2(a1)),x67492))+~P1(f775(f775(f232(a1),f2(a1)),x67491))+P1(f775(f775(f232(a1),f2(a1)),f775(f775(f43(a1),x67491),x67492)))
% 184.29/184.10 [6750]~P1(f775(f775(f232(a1),f2(a1)),x67502))+~P1(f775(f775(f232(a1),f2(a1)),x67501))+P1(f775(f775(f232(a1),f2(a1)),f775(f775(f43(a1),x67501),x67502)))
% 184.29/184.10 [6819]E(x68191,f2(a1))+E(f52(a1,x68192,x68191),f2(a1))+E(f775(f775(f3(a1),f775(f81(a1),f775(f775(f43(a1),x68192),x68191))),f80(a1)),f775(f775(f43(a1),f775(f81(a1),x68192)),x68191))
% 184.29/184.10 [6879]P1(f775(f775(f233(a850),f2(a850)),x68791))+P1(f775(f775(f233(a850),f2(a850)),x68792))+~P1(f775(f775(f233(a850),f2(a850)),f775(f775(f82(a850),x68792),x68791)))
% 184.29/184.10 [6880]~P68(x68801)+P1(f775(f775(f233(x68801),f2(x68801)),x68802))+~P1(f775(f775(f233(x68801),f2(x68801)),f775(f775(f82(x68801),x68802),x68802)))
% 184.29/184.10 [6881]~P68(x68811)+P1(f775(f775(f232(x68811),f2(x68811)),x68812))+~P1(f775(f775(f232(x68811),f2(x68811)),f775(f775(f82(x68811),x68812),x68812)))
% 184.29/184.10 [6935]~P1(f775(f63(x69351),x69352))+P1(f775(f63(x69351),f239(f857(x69351,a844))))+~P1(f775(f63(x69351),f775(f81(f857(x69351,a844)),x69352)))
% 184.29/184.10 [6995]P1(f775(f775(f232(a1),x69951),f2(a1)))+~P1(f775(f775(f233(a1),x69952),f2(a1)))+~P1(f775(f775(f232(a1),f2(a1)),f775(f775(f43(a1),x69951),x69952)))
% 184.29/184.10 [7001]~P1(f775(f775(f233(a1),f2(a1)),x70011))+P1(f775(f775(f232(a1),x70011),x70012))+~P1(f775(f775(f233(a1),f2(a1)),f775(f775(f43(a1),x70012),x70011)))
% 184.29/184.10 [7002]~P1(f775(f775(f232(a1),f2(a1)),x70022))+P1(f775(f775(f232(a1),x70021),x70022))+~P1(f775(f775(f233(a1),f2(a1)),f775(f775(f43(a1),x70022),x70021)))
% 184.29/184.10 [7035]P1(f775(f775(f233(a1),f2(a1)),x70351))+~P1(f775(f775(f232(a1),f2(a1)),x70352))+~P1(f775(f775(f233(a1),f2(a1)),f775(f775(f43(a1),x70352),x70351)))
% 184.29/184.10 [7036]P1(f775(f775(f232(a1),f2(a1)),x70361))+~P1(f775(f775(f233(a1),f2(a1)),x70362))+~P1(f775(f775(f232(a1),f2(a1)),f775(f775(f43(a1),x70361),x70362)))
% 184.29/184.10 [7505]~P1(f775(f63(x75052),f239(f857(x75052,a844))))+~P1(f775(f63(x75051),f239(f857(x75051,a844))))+P1(f775(f63(f858(x75051,x75052)),f239(f857(f858(x75051,x75052),a844))))
% 184.29/184.10 [7506]~P1(f775(f63(x75062),f239(f857(x75062,a844))))+~P1(f775(f63(x75061),f239(f857(x75061,a844))))+P1(f775(f63(f856(x75061,x75062)),f239(f857(f856(x75061,x75062),a844))))
% 184.29/184.10 [7578]~P1(f775(f775(f233(a850),f775(a114,f2(a850))),x75781))+~P1(f775(f775(f233(a850),f775(a114,f2(a850))),x75782))+P1(f775(f775(f233(a850),x75781),f775(f775(f83(a850),x75782),x75781)))
% 184.29/184.10 [7579]~P1(f775(f775(f233(a850),f775(a114,f2(a850))),x75791))+~P1(f775(f775(f233(a850),f775(a114,f2(a850))),x75792))+P1(f775(f775(f233(a850),x75791),f775(f775(f83(a850),x75791),x75792)))
% 184.29/184.10 [7614]E(f775(f42(x76141),f239(f857(x76141,a844))),f775(a114,f2(a850)))+P1(f775(f63(x76142),f239(f857(x76142,a844))))+~P1(f775(f63(f857(x76142,x76141)),f239(f857(f857(x76142,x76141),a844))))
% 184.29/184.10 [7739]~P1(f775(f775(f233(a850),f775(a114,f2(a850))),x77392))+~P1(f775(f775(f233(a850),f775(a114,f2(a850))),x77391))+P1(f775(f775(f233(a850),f775(a114,f2(a850))),f775(f775(f83(a850),x77391),x77392)))
% 184.29/184.10 [7740]~P1(f775(f775(f232(a850),f775(a114,f2(a850))),x77401))+~P1(f775(f775(f232(a850),f775(a114,f2(a850))),x77402))+P1(f775(f775(f232(a850),f775(a114,f2(a850))),f775(f775(f83(a850),x77401),x77402)))
% 184.29/184.10 [8421]E(x84211,f115(x84212))+~P1(f775(f127(x84212),x84211))+E(f162(x84212,f775(f775(f10(a844,a844,x84212),a328),f775(f775(f9(x84212,x84212,a844),a330),f134(x84212,x84211))),x84211),f116(x84212,x84211))
% 184.29/184.10 [8519]~P38(x85192)+~P38(x85191)+E(f775(f303(a850,a1,f102(a1)),f775(f775(f103(f857(a850,a844)),f775(f303(a1,a850,a107),x85191)),f775(f303(a1,a850,a107),x85192))),f775(f775(f103(f857(a1,a844)),x85191),x85192))
% 184.29/184.10 [8520]~P38(x85202)+~P38(x85201)+E(f775(f303(a850,a1,f102(a1)),f775(f775(f104(f857(a850,a844)),f775(f303(a1,a850,a107),x85201)),f775(f303(a1,a850,a107),x85202))),f775(f775(f104(f857(a1,a844)),x85201),x85202))
% 184.29/184.10 [9109]~P88(x91091)+~E(f775(f106(x91091),x91092),f80(x91091))+P33(x91091,f775(f106(x91091),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f81(a1),x91092))))
% 184.29/184.10 [9324]~P88(x93241)+E(f775(f106(x93241),x93242),f80(x93241))+~P33(x93241,f775(f106(x93241),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f81(a1),x93242))))
% 184.29/184.10 [9738]~P99(x97382)+P52(a850,x97382,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x97381)+P1(f775(f775(f279(a850),f369(x97381,x97382)),f370(x97381,x97382)))
% 184.29/184.10 [9741]~P99(x97411)+P52(a850,x97411,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x97412)+~P1(f775(f775(f279(a850),f370(x97412,x97411)),f369(x97412,x97411)))
% 184.29/184.10 [9742]~P99(x97421)+P52(a850,x97421,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x97422)+~P1(f775(f775(f233(x97421),f775(x97422,f369(x97422,x97421))),f775(x97422,f370(x97422,x97421))))
% 184.29/184.10 [9831]~P99(x98311)+P50(a850,x98311,f279(a850),x98312)+~P52(a850,x98311,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x98312)
% 184.29/184.10 [10029]E(x100291,f2(a1))+E(x100292,f2(a1))+E(f775(f252(a1,a1,a1,a1,f39(a1),f775(f83(a1),f84(a1,x100292))),f775(f775(f775(f98(f856(a1,a1)),f775(f775(a330,f84(a1,x100291)),f84(a1,x100292))),f60(x100291,x100292)),f775(f775(f251(a1,a1,f856(a1,a1)),f775(f775(f20(a1,f857(a1,f856(a1,a1)),f857(a1,f856(a1,a1))),f775(f775(f10(f857(a1,f857(f856(a1,a1),f856(a1,a1))),f857(f857(a1,f856(a1,a1)),f857(a1,f856(a1,a1))),a1),f20(a1,f856(a1,a1),f856(a1,a1))),f775(f775(f10(f856(a1,a1),f857(a1,f857(f856(a1,a1),f856(a1,a1))),a1),f775(f9(a1,f856(a1,a1),f857(f856(a1,a1),f856(a1,a1))),f775(f775(f10(a844,f857(f856(a1,a1),f857(f856(a1,a1),f856(a1,a1))),a1),f98(f856(a1,a1))),f775(f775(f9(a1,a1,a844),a330),f2(a1))))),f775(f775(f9(a1,a1,f856(a1,a1)),f775(f775(f10(a1,f857(a1,f856(a1,a1)),a1),f241(a1,a1)),f81(a1))),f2(a1))))),f775(f775(f9(a1,f857(a1,a1),f857(a1,f856(a1,a1))),f775(f775(f10(f857(a1,f856(a1,a1)),f857(f857(a1,a1),f857(a1,f856(a1,a1))),a1),f10(a1,f856(a1,a1),a1)),f775(f775(f10(a1,f857(a1,f856(a1,a1)),a1),f241(a1,a1)),f775(f775(f9(a1,a1,a1),f775(f775(f10(a1,f857(a1,a1),a1),f3(a1)),f81(a1))),f80(a1))))),f775(f3(a1),f775(f77(a1),x100292))))),f60(x100291,x100292)))),f53(x100291,x100292))
% 184.29/184.10 [10030]E(x100301,f2(a1))+E(x100302,f2(a1))+E(f775(f252(a1,a1,a1,a1,f39(a1),f775(f83(a1),f84(a1,x100302))),f775(f775(f775(f98(f856(a1,a1)),f775(f775(a332,f775(f775(a331,f775(f775(f233(a1),f2(a1)),x100302)),f775(f775(f232(a1),f2(a1)),x100301))),f775(f775(a331,f775(f775(f233(a1),x100302),f2(a1))),f775(f775(f233(a1),x100301),f2(a1))))),f60(x100301,x100302)),f775(f775(f251(a1,a1,f856(a1,a1)),f775(f775(f20(a1,f857(a1,f856(a1,a1)),f857(a1,f856(a1,a1))),f775(f775(f10(f857(a1,f857(f856(a1,a1),f856(a1,a1))),f857(f857(a1,f856(a1,a1)),f857(a1,f856(a1,a1))),a1),f20(a1,f856(a1,a1),f856(a1,a1))),f775(f775(f10(f856(a1,a1),f857(a1,f857(f856(a1,a1),f856(a1,a1))),a1),f775(f9(a1,f856(a1,a1),f857(f856(a1,a1),f856(a1,a1))),f775(f775(f10(a844,f857(f856(a1,a1),f857(f856(a1,a1),f856(a1,a1))),a1),f98(f856(a1,a1))),f775(f775(f9(a1,a1,a844),a330),f2(a1))))),f775(f775(f9(a1,a1,f856(a1,a1)),f775(f775(f10(a1,f857(a1,f856(a1,a1)),a1),f241(a1,a1)),f81(a1))),f2(a1))))),f775(f775(f9(a1,f857(a1,a1),f857(a1,f856(a1,a1))),f775(f775(f10(f857(a1,f856(a1,a1)),f857(f857(a1,a1),f857(a1,f856(a1,a1))),a1),f10(a1,f856(a1,a1),a1)),f775(f775(f10(a1,f857(a1,f856(a1,a1)),a1),f241(a1,a1)),f775(f775(f9(a1,a1,a1),f775(f775(f10(a1,f857(a1,a1),a1),f3(a1)),f81(a1))),f80(a1))))),f775(f3(a1),f775(f77(a1),x100302))))),f60(x100301,x100302)))),f53(x100301,x100302))
% 184.29/184.10 [5577]~P110(x55771)+~P88(x55771)+E(f775(f77(x55771),f775(f775(f242(x55771),f775(f106(x55771),a99)),x55772)),f80(x55771))
% 184.29/184.10 [6078]~P133(x60781)+~P1(f775(f775(f233(a1),x60782),f2(a1)))+E(f775(f81(x60781),f775(f102(x60781),f775(a107,f775(f81(a1),x60782)))),f775(f105(x60781),x60782))
% 184.29/184.10 [6287]P1(f775(f775(f232(a101),x62871),f80(a101)))+E(f775(f775(f82(a101),f80(a101)),f267(x62871,f775(f775(f43(a101),x62872),x62871))),f267(x62871,x62872))+P1(f775(f775(f233(a101),x62872),x62871))
% 184.29/184.10 [6360]E(x63601,f2(a1))+~E(f775(f77(a1),x63602),f80(a1))+P1(f775(f775(f279(a1),f775(f775(f83(a1),x63601),x63602)),x63601))
% 184.29/184.10 [6788]~E(x67882,f80(a850))+~P1(f775(f775(f233(a850),f2(a850)),x67881))+P1(f775(f775(f279(a850),f775(f775(f83(a850),x67881),x67882)),x67881))
% 184.29/184.10 [6789]~E(x67891,f80(a850))+~P1(f775(f775(f233(a850),f2(a850)),x67892))+P1(f775(f775(f279(a850),f775(f775(f83(a850),x67891),x67892)),x67892))
% 184.29/184.10 [6922]~P87(x69221)+~P1(f775(f775(f334(x69221),x69222),f112(x69221)))+~E(f775(f775(f82(x69221),f775(f775(f82(x69221),f80(x69221)),x69222)),x69222),f2(x69221))
% 184.29/184.10 [7037]~P1(f775(f775(f233(a1),x70371),f2(a1)))+~P1(f775(f775(f232(a1),x70372),f2(a1)))+E(f775(f240(a1,a1),f775(a58,f54(f775(f81(a1),x70371),f775(f81(a1),x70372)))),f775(f775(f43(a1),x70371),x70372))
% 184.29/184.10 [7053]~P1(f775(f775(f233(a1),x70531),f2(a1)))+~P1(f775(f775(f232(a1),x70532),f2(a1)))+E(f775(f250(a1,a1),f775(a58,f54(f775(f81(a1),x70531),f775(f81(a1),x70532)))),f52(a1,x70531,x70532))
% 184.29/184.10 [7061]~P1(f775(f775(f233(a1),x70612),f2(a1)))+E(f775(f240(a1,a1),f775(a58,f57(f775(f81(a1),x70611),f775(f81(a1),x70612)))),f775(f775(f43(a1),x70611),x70612))+~P1(f775(f775(f233(a1),f2(a1)),x70611))
% 184.29/184.10 [7065]E(x70651,f2(a1))+E(f775(f77(a1),x70652),f80(a1))+~P1(f775(f775(f279(a1),f775(f775(f83(a1),x70651),x70652)),x70651))
% 184.29/184.10 [7080]~P1(f775(f775(f233(a1),x70802),f2(a1)))+E(f775(f250(a1,a1),f775(a58,f57(f775(f81(a1),x70801),f775(f81(a1),x70802)))),f52(a1,x70801,x70802))+~P1(f775(f775(f233(a1),f2(a1)),x70801))
% 184.29/184.10 [7131]E(f775(f775(f43(a1),f775(f775(f242(a1),x71311),x71312)),x71311),f775(f775(f242(a1),x71311),f775(f775(f3(a850),x71312),f775(a114,f2(a850)))))+~P1(f775(f775(f233(a850),f2(a850)),x71312))+~P1(f775(f775(f233(a1),f2(a1)),x71311))
% 184.29/184.10 [7236]~P1(f775(f775(f233(a850),f2(a850)),x72361))+~P1(f775(f775(f233(a850),f80(a850)),x72362))+P1(f775(f775(f233(a850),f775(f775(f43(a850),x72361),x72362)),x72361))
% 184.29/184.10 [7237]~P1(f775(f775(f233(a850),f2(a850)),x72371))+~P1(f775(f775(f233(a850),f2(a850)),x72372))+P1(f775(f775(f233(a850),f775(f775(f3(a850),x72371),x72372)),x72371))
% 184.29/184.10 [7238]~P1(f775(f775(f233(a1),f2(a1)),x72381))+~P1(f775(f775(f233(a1),f80(a1)),x72382))+P1(f775(f775(f233(a1),f775(f775(f43(a1),x72381),x72382)),x72381))
% 184.29/184.10 [7397]E(x73971,f2(a850))+~E(x73972,f2(a1))+~P1(f775(f775(f233(a1),f2(a1)),f775(f775(f242(a1),f775(f77(a1),x73972)),x73971)))
% 184.29/184.10 [7435]E(x74351,f80(a850))+~P1(f775(f775(f233(a850),f2(a850)),x74352))+~P1(f775(f775(f279(a850),f775(f775(f83(a850),x74352),x74351)),x74352))
% 184.29/184.10 [7436]E(x74361,f80(a850))+~P1(f775(f775(f233(a850),f2(a850)),x74362))+~P1(f775(f775(f279(a850),f775(f775(f83(a850),x74361),x74362)),x74362))
% 184.29/184.10 [7822]~E(x78222,f115(f851(x78221)))+E(f775(f181(f851(f851(x78221))),f164(x78221,x78222)),f2(a850))+~P18(a850,f775(f142(a850),f775(f775(f143(f851(x78221),a850),f181(f851(x78221))),x78222)))
% 184.29/184.10 [8072]P1(f775(x80721,x80722))+~P1(f775(x80721,f775(a109,f575(x80721,x80722))))+~P1(f775(f775(f334(f857(f856(a850,a850),a844)),x80722),a100))
% 184.29/184.10 [8086]E(x80861,f115(f851(x80862)))+E(f775(f181(f851(x80862)),f775(f775(f153(f851(x80862)),x80861),f2(a850))),f775(f181(f851(f851(x80862))),f164(x80862,x80861)))+~P18(a850,f775(f142(a850),f775(f775(f143(f851(x80862),a850),f181(f851(x80862))),x80861)))
% 184.29/184.10 [8758]~P1(f775(f63(x87581),f775(f256(x87581),x87582)))+~P1(f775(f63(x87581),f239(f857(x87581,a844))))+P1(f775(f63(x87581),f775(f256(x87581),f775(f775(f10(a844,a844,x87581),a328),x87582))))
% 184.29/184.10 [8811]E(f775(f775(f241(a850,a850),f775(a114,f775(f775(f43(a850),f775(f775(f3(a850),x88111),x88112)),x88112))),f52(a850,f775(f775(f3(a850),x88111),x88112),x88112)),f87(f856(a850,a850),f55(x88111,x88112)))+~P1(f775(f775(f233(a850),f2(a850)),x88112))+~P1(f775(f775(f232(a850),x88112),x88111))
% 184.29/184.10 [9076]~P1(f775(f63(x90761),f775(f256(x90761),x90762)))+P1(f775(f63(x90761),f239(f857(x90761,a844))))+~P1(f775(f63(x90761),f775(f256(x90761),f775(f775(f10(a844,a844,x90761),a328),x90762))))
% 184.29/184.10 [9735]P30(x97351,x97352)+~P36(x97351,f775(f240(f857(f856(x97351,x97351),a844),f857(f856(x97351,x97351),a844)),x97352))+~P1(f775(f775(f232(f857(f856(x97351,x97351),a844)),f775(f775(f281(x97351,x97351,x97351),f775(f240(f857(f856(x97351,x97351),a844),f857(f856(x97351,x97351),a844)),x97352)),f775(f250(f857(f856(x97351,x97351),a844),f857(f856(x97351,x97351),a844)),x97352))),f775(f240(f857(f856(x97351,x97351),a844),f857(f856(x97351,x97351),a844)),x97352)))
% 184.29/184.10 [9835]~E(f292(a850,f279(a850),f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x98352,x98351),f180(f857(a850,a844)))+~P1(f775(f775(f279(a850),x98352),x98351))+P1(f775(f775(f279(a850),x98351),x98352))
% 184.29/184.10 [9836]~E(f289(a850,f279(a850),f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x98362,x98361),f180(f857(a850,a844)))+~P1(f775(f775(f279(a850),x98362),x98361))+P1(f775(f775(f279(a850),x98361),x98362))
% 184.29/184.10 [7155]~P1(f775(f775(f233(a850),f2(a850)),x71552))+P1(f775(f775(f233(a850),x71551),x71552))+E(f775(a114,f775(f775(f43(a850),f775(f775(f3(a850),x71551),x71552)),x71552)),f775(f775(f43(a850),x71551),x71552))
% 184.29/184.10 [7312]~P1(f775(f775(f233(a850),f2(a850)),x73122))+~P1(f775(f775(f232(a850),x73122),x73121))+E(f775(a114,f775(f775(f43(a850),f775(f775(f3(a850),x73121),x73122)),x73122)),f775(f775(f43(a850),x73121),x73122))
% 184.29/184.10 [8285]~P88(x82851)+~P87(x82851)+~P33(x82851,f775(f106(x82851),f775(f775(f3(a1),f775(f775(f82(a1),x82852),x82852)),a99)))
% 184.29/184.10 [8986]E(x89861,f2(a850))+E(f775(f775(f251(a850,a850,f856(a850,a850)),f775(f775(f10(a850,f857(a850,f856(a850,a850)),a850),f241(a850,a850)),a114)),f87(f856(a850,a850),f55(f775(f775(f3(a850),x89862),x89861),x89861))),f87(f856(a850,a850),f55(x89862,x89861)))+P1(f775(f775(f233(a850),x89862),x89861))
% 184.29/184.10 [9383]P1(f775(x93832,f698(x93832,x93831)))+P1(f775(x93831,f698(x93832,x93831)))+E(f775(f256(a1),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),f2(a1)))),x93831)),f775(f256(a1),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),f2(a1)))),x93832)))
% 184.29/184.10 [9387]~P1(f775(x93872,f698(x93872,x93871)))+~P1(f775(x93871,f698(x93872,x93871)))+E(f775(f256(a1),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),f2(a1)))),x93871)),f775(f256(a1),f775(f775(f20(a1,a844,a844),f775(f775(f10(a844,f857(a844,a844),a1),a331),f775(f232(a1),f2(a1)))),x93872)))
% 184.29/184.10 [9918]~P1(f775(f775(f279(a850),x99182),x99181))+P1(f775(f775(f279(a850),x99181),x99182))+P1(f775(f775(f334(a850),x99181),f287(a850,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x99182)))
% 184.29/184.10 [9919]~P1(f775(f775(f279(a850),x99192),x99191))+P1(f775(f775(f279(a850),x99191),x99192))+P1(f775(f775(f334(a850),x99192),f290(a850,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x99191)))
% 184.29/184.10 [7535]~P88(x75351)+~P61(x75351)+E(f775(f775(f283(x75351),x75352),f775(f106(x75351),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))),x75352)
% 184.29/184.10 [9108]~P88(x91081)+~E(f775(f106(x91081),x91082),f80(x91081))+P33(x91081,f775(f106(x91081),f775(f775(f82(a1),x91082),f775(f81(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.10 [9263]~P120(x92631)+~E(x92632,f2(x92631))+E(f775(f775(f242(x92631),x92632),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f2(x92631))
% 184.29/184.10 [9264]~P120(x92641)+~E(x92642,f80(x92641))+E(f775(f775(f242(x92641),x92642),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f80(x92641))
% 184.29/184.10 [9277]~P120(x92771)+~E(x92772,f775(f81(x92771),f80(x92771)))+E(f775(f775(f242(x92771),x92772),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f80(x92771))
% 184.29/184.10 [9325]~P88(x93251)+E(f775(f106(x93251),x93252),f80(x93251))+~P33(x93251,f775(f106(x93251),f775(f775(f82(a1),x93252),f775(f81(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.10 [9676]~P110(x96762)+E(x96761,f2(x96762))+P1(f775(f775(f233(x96762),f2(x96762)),f775(f775(f242(x96762),x96761),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.29/184.10 [9734]~P110(x97342)+~E(x97341,f2(x97342))+~P1(f775(f775(f233(x97342),f2(x97342)),f775(f775(f242(x97342),x97341),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.29/184.10 [9773]P1(f775(f775(f232(a1),x97731),f2(a1)))+P1(f775(f775(f233(a1),x97732),x97731))+E(f775(f50(x97731),f54(x97732,f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97731))),f54(x97732,x97731))
% 184.29/184.10 [9774]~P1(f775(f775(f233(a1),f2(a1)),x97741))+P1(f775(f775(f233(a1),x97742),x97741))+E(f775(f50(x97741),f54(x97742,f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97741))),f54(x97742,x97741))
% 184.29/184.10 [9775]P1(f775(f775(f232(a1),x97751),f2(a1)))+P1(f775(f775(f232(a1),f2(a1)),f775(f775(f82(a1),x97752),x97751)))+E(f775(f50(x97751),f57(x97752,f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97751))),f57(x97752,x97751))
% 184.29/184.10 [9776]~P1(f775(f775(f233(a1),f2(a1)),x97761))+P1(f775(f775(f232(a1),f2(a1)),f775(f775(f82(a1),x97762),x97761)))+E(f775(f50(x97761),f57(x97762,f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97761))),f57(x97762,x97761))
% 184.29/184.10 [9777]~P2(x97771)+~P1(f775(f775(f232(a1),f2(a1)),x97772))+E(f775(f102(x97771),f775(a107,f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x97772))),f775(f775(f82(x97771),f775(f102(x97771),f775(a107,x97772))),f775(f102(x97771),f775(a107,x97772))))
% 184.29/184.10 [4932]~P140(x49321,x49323,x49322)+~E(x49323,f2(a1))+P1(f775(x49321,x49322))
% 184.29/184.10 [5058]~P100(x50581)+~P18(x50581,x50583)+P18(x50581,f151(x50581,x50582,x50583))
% 184.29/184.10 [5059]~P100(x50591)+~P18(x50591,x50593)+P18(x50591,f162(x50591,x50592,x50593))
% 184.29/184.10 [4645]~P69(x46452)+~E(x46453,f775(f81(x46452),x46451))+E(x46451,f775(f81(x46452),x46453))
% 184.29/184.10 [4647]~P69(x46471)+~E(f775(f81(x46471),x46473),x46472)+E(f775(f81(x46471),x46472),x46473)
% 184.29/184.10 [4718]~P86(x47183)+E(x47181,x47182)+~E(f775(f102(x47183),x47181),f775(f102(x47183),x47182))
% 184.29/184.10 [4719]~P87(x47193)+E(x47191,x47192)+~E(f775(f105(x47193),x47191),f775(f105(x47193),x47192))
% 184.29/184.10 [4720]~P69(x47203)+E(x47201,x47202)+~E(f775(f81(x47203),x47201),f775(f81(x47203),x47202))
% 184.29/184.10 [4721]~P90(x47213)+E(x47211,x47212)+~E(f775(f81(x47213),x47211),f775(f81(x47213),x47212))
% 184.29/184.10 [4722]~P100(x47223)+E(x47221,x47222)+~E(f775(f257(x47223),x47221),f775(f257(x47223),x47222))
% 184.29/184.10 [4723]~P100(x47233)+E(x47231,x47232)+~E(f775(f296(x47233),x47231),f775(f296(x47233),x47232))
% 184.29/184.10 [4724]~P100(x47243)+E(x47241,x47242)+~E(f775(f293(x47243),x47241),f775(f293(x47243),x47242))
% 184.29/184.10 [4725]~P100(x47253)+E(x47251,x47252)+~E(f775(f258(x47253),x47251),f775(f258(x47253),x47252))
% 184.29/184.10 [4955]~P141(x49551,x49552,x49553)+~E(x49552,f2(a1))+P1(f775(x49551,f2(a1)))
% 184.29/184.10 [4994]~E(x49941,f2(a850))+E(f374(x49941,x49942,x49943),f180(f857(x49943,a844)))+~E(f775(f42(x49943),x49942),f775(a114,x49941))
% 184.29/184.10 [5141]~E(x51412,f2(a850))+E(f775(f240(a850,a850),x51411),f2(a850))+~P1(f775(f55(x51413,x51412),x51411))
% 184.29/184.10 [5185]P1(f775(x51851,x51852))+~E(x51853,f775(f102(a1),x51852))+~P1(f775(x51851,f775(a107,x51853)))
% 184.29/184.10 [5639]~E(x56393,f2(a850))+~P1(f775(x56391,x56392))+P1(f775(x56391,f52(a850,x56392,x56393)))
% 184.29/184.10 [5786]~P1(f775(a26,x57863))+~P1(f775(a26,x57862))+P1(f775(a26,f33(x57861,x57862,x57863)))
% 184.29/184.10 [6060]~E(x60603,f2(a850))+P1(f775(x60601,x60602))+~P1(f775(x60601,f52(a850,x60602,x60603)))
% 184.29/184.10 [6772]E(x67721,f2(a850))+~P1(f775(x67722,f804(x67721,x67723,x67722)))+P1(f775(x67722,f52(a850,x67723,x67721)))
% 184.29/184.10 [6885]~P9(x68851)+~P1(f775(f775(f232(x68851),x68852),f672(x68853,x68852,x68851)))+P1(f775(f775(f232(x68851),x68852),f45(x68851,x68853)))
% 184.29/184.10 [6887]~P1(f775(x68871,x68872))+~P1(f775(x68871,f804(x68873,x68872,x68871)))+P1(f775(x68871,f52(a850,x68872,x68873)))
% 184.29/184.10 [6988]E(x69881,f115(x69882))+E(f775(f775(f140(x69882),f748(x69883,x69881,x69882)),f755(x69883,x69881,x69882)),x69881)+~P1(f775(f775(f334(f851(x69882)),x69881),f149(x69882,x69883)))
% 184.29/184.10 [7023]~P133(x70231)+~P1(f775(f775(f334(x70231),x70232),f112(x70231)))+P1(f775(f775(f334(x70231),f775(f775(f242(x70231),x70232),x70233)),f112(x70231)))
% 184.29/184.10 [7364]P36(x73641,x73642)+~P1(f775(f775(f334(x73641),x73643),f682(x73642,x73641)))+P1(f775(f775(f334(x73641),f697(x73642,x73641,x73643)),f682(x73642,x73641)))
% 184.29/184.10 [7640]E(x76401,f115(x76402))+~P1(f775(f775(f334(f851(x76402)),x76401),f149(x76402,x76403)))+P1(f775(f775(f334(f851(x76402)),f755(x76403,x76401,x76402)),f149(x76402,x76403)))
% 184.29/184.10 [7690]E(x76901,f2(a850))+E(f775(f775(f82(a850),f775(f775(f83(a850),x76901),f806(x76901,x76902,x76903))),f804(x76901,x76902,x76903)),x76902)+P1(f775(x76903,f52(a850,x76902,x76901)))
% 184.29/184.10 [7733]~P1(f775(x77333,x77332))+E(f775(f775(f82(a850),f775(f775(f83(a850),x77331),f806(x77331,x77332,x77333))),f804(x77331,x77332,x77333)),x77332)+P1(f775(x77333,f52(a850,x77332,x77331)))
% 184.29/184.10 [7877]P1(f775(f775(f233(a1),x78771),f794(x78772,x78773,x78771)))+P1(f775(f775(x78773,f775(f775(f43(a1),x78772),x78771)),f52(a1,x78772,x78771)))+~P1(f775(f775(f233(a1),x78771),f2(a1)))
% 184.29/184.10 [8143]P1(f775(f775(x81432,f775(f775(f43(a1),x81431),x81433)),f52(a1,x81431,x81433)))+~P1(f775(f775(f233(a1),x81433),f2(a1)))+P1(f775(f775(f232(a1),f794(x81431,x81432,x81433)),f2(a1)))
% 184.29/184.10 [8322]E(f775(f775(f82(a1),f775(f775(f83(a1),x83221),f797(x83222,x83223,x83221))),f794(x83222,x83223,x83221)),x83222)+P1(f775(f775(x83223,f775(f775(f43(a1),x83222),x83221)),f52(a1,x83222,x83221)))+~P1(f775(f775(f233(a1),x83221),f2(a1)))
% 184.29/184.10 [8557]~P1(f775(f775(x85571,f797(x85572,x85571,x85573)),f794(x85572,x85571,x85573)))+P1(f775(f775(x85571,f775(f775(f43(a1),x85572),x85573)),f52(a1,x85572,x85573)))+~P1(f775(f775(f233(a1),x85573),f2(a1)))
% 184.29/184.10 [8768]~P100(x87681)+~P18(x87681,x87683)+P18(x87681,f139(x87681,x87681,f7(x87681),x87682,x87683))
% 184.29/184.10 [9213]~P119(x92132)+E(x92131,f2(x92132))+~P1(f775(f775(f232(x92132),f775(f775(f82(x92132),f775(f775(f83(x92132),x92133),x92133)),f775(f775(f83(x92132),x92131),x92131))),f2(x92132)))
% 184.29/184.10 [9214]~P119(x92142)+E(x92141,f2(x92142))+~P1(f775(f775(f232(x92142),f775(f775(f82(x92142),f775(f775(f83(x92142),x92141),x92141)),f775(f775(f83(x92142),x92143),x92143))),f2(x92142)))
% 184.29/184.10 [9972]~P110(x99721)+~P1(f775(f775(f233(x99721),x99722),f2(x99721)))+P1(f775(f775(f233(x99721),f775(f775(f242(x99721),x99722),f775(a114,f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x99723)))),f2(x99721)))
% 184.29/184.10 [9982]~P110(x99822)+E(x99821,f2(x99822))+~P1(f775(f775(f232(x99822),f775(f775(f82(x99822),f775(f775(f242(x99822),x99823),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x99822),x99821),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))),f2(x99822)))
% 184.29/184.10 [9983]~P110(x99832)+E(x99831,f2(x99832))+~P1(f775(f775(f232(x99832),f775(f775(f82(x99832),f775(f775(f242(x99832),x99831),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x99832),x99833),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))),f2(x99832)))
% 184.29/184.10 [4676]~E(x46762,x46763)+~P69(x46761)+E(f775(f775(f3(x46761),x46762),x46763),f2(x46761))
% 184.29/184.10 [4677]~E(x46772,x46773)+~P6(x46771)+E(f775(f775(f3(x46771),x46772),x46773),f2(x46771))
% 184.29/184.10 [4690]~P137(x46901)+~E(x46903,f2(x46901))+E(f775(f775(f82(x46901),x46902),x46903),x46902)
% 184.29/184.10 [4705]~P134(x47051)+~E(x47053,f2(x47051))+E(f775(f775(f83(x47051),x47052),x47053),f2(x47051))
% 184.29/184.10 [4706]~P134(x47061)+~E(x47062,f2(x47061))+E(f775(f775(f83(x47061),x47062),x47063),f2(x47061))
% 184.29/184.10 [4727]~E(x47273,f115(x47271))+~E(x47272,f115(x47271))+E(f775(f775(f125(x47271),x47272),x47273),f115(x47271))
% 184.29/184.10 [4810]~P137(x48102)+E(x48101,f2(x48102))+~E(f775(f775(f82(x48102),x48103),x48101),x48103)
% 184.29/184.10 [4811]~P69(x48111)+~E(x48112,f775(f81(x48111),x48113))+E(f775(f775(f82(x48111),x48112),x48113),f2(x48111))
% 184.29/184.10 [4818]E(x48181,f115(x48182))+E(x48183,f2(a850))+~E(f775(f775(f159(x48182),x48183),x48181),f115(x48182))
% 184.29/184.10 [4826]~P69(x48263)+E(x48261,x48262)+~E(f775(f775(f3(x48263),x48261),x48262),f2(x48263))
% 184.29/184.10 [4827]~P6(x48273)+E(x48271,x48272)+~E(f775(f775(f3(x48273),x48271),x48272),f2(x48273))
% 184.29/184.10 [4836]~P120(x48362)+E(x48361,f2(x48362))+~E(f775(f775(f242(x48362),x48361),x48363),f2(x48362))
% 184.29/184.10 [4837]~P94(x48372)+E(x48371,f239(x48372))+~E(f775(f775(f104(x48372),x48373),x48371),f239(x48372))
% 184.29/184.10 [4838]~P94(x48382)+E(x48381,f239(x48382))+~E(f775(f775(f104(x48382),x48381),x48383),f239(x48382))
% 184.29/184.10 [4839]~P95(x48392)+E(x48391,f180(x48392))+~E(f775(f775(f103(x48392),x48393),x48391),f180(x48392))
% 184.29/184.10 [4840]~P95(x48402)+E(x48401,f180(x48402))+~E(f775(f775(f103(x48402),x48401),x48403),f180(x48402))
% 184.29/184.10 [4905]~P69(x49052)+E(x49051,f775(f81(x49052),x49053))+~E(f775(f775(f82(x49052),x49051),x49053),f2(x49052))
% 184.29/184.10 [4906]~P69(x49061)+E(f775(f81(x49061),x49062),x49063)+~E(f775(f775(f82(x49061),x49062),x49063),f2(x49061))
% 184.29/184.10 [4909]~E(x49092,x49093)+~P99(x49091)+P1(f775(f775(f232(x49091),x49092),x49093))
% 184.29/184.10 [4910]~E(x49102,x49103)+~P103(x49101)+P1(f775(f775(f232(x49101),x49102),x49103))
% 184.29/184.10 [5008]~P111(x50081)+~E(x50082,f775(f81(x50081),x50083))+E(f775(f775(f83(x50081),x50082),x50082),f775(f775(f83(x50081),x50083),x50083))
% 184.29/184.10 [5016]~P100(x50161)+~P18(x50161,x50163)+P18(x50161,f775(f775(f159(x50161),x50162),x50163))
% 184.29/184.10 [5017]~P100(x50171)+~P18(x50171,x50173)+P18(x50171,f775(f775(f128(x50171),x50172),x50173))
% 184.29/184.10 [5056]E(x50561,x50562)+E(x50563,f2(a850))+~E(f775(f775(f83(a850),x50563),x50561),f775(f775(f83(a850),x50563),x50562))
% 184.29/184.10 [5057]E(x50571,x50572)+E(x50573,f2(a850))+~E(f775(f775(f83(a850),x50571),x50573),f775(f775(f83(a850),x50572),x50573))
% 184.29/184.10 [5133]~E(x51332,x51333)+~P99(x51331)+E(f295(x51331,x51332,x51333),f775(f775(f302(x51331),x51332),f180(f857(x51331,a844))))
% 184.29/184.10 [5173]~P110(x51731)+~E(f775(f77(x51731),x51732),f775(f77(x51731),x51733))+P1(f775(f775(f279(x51731),x51732),x51733))
% 184.29/184.10 [5182]~E(x51821,x51822)+~P99(x51823)+~P1(f775(f775(f233(x51823),x51821),x51822))
% 184.29/184.10 [5183]~E(x51831,x51832)+~P100(x51833)+~P1(f775(f775(f233(x51833),x51831),x51832))
% 184.29/184.10 [5190]~P99(x51901)+E(f775(f294(x51901,x51902),x51903),f180(f857(x51901,a844)))+P1(f775(f775(f233(x51901),x51902),x51903))
% 184.29/184.10 [5236]~P99(x52361)+E(f295(x52361,x52362,x52363),f180(f857(x52361,a844)))+P1(f775(f775(f232(x52361),x52362),x52363))
% 184.29/184.10 [5237]~P99(x52371)+E(f297(x52371,x52372,x52373),f180(f857(x52371,a844)))+P1(f775(f775(f233(x52371),x52372),x52373))
% 184.29/184.10 [5238]~P99(x52381)+E(f180(f857(x52381,a844)),f295(x52381,x52382,x52383))+P1(f775(f775(f232(x52381),x52382),x52383))
% 184.29/184.10 [5239]~P99(x52391)+E(f180(f857(x52391,a844)),f297(x52391,x52392,x52393))+P1(f775(f775(f233(x52391),x52392),x52393))
% 184.29/184.10 [5247]~P100(x52471)+~E(f775(f775(f236(x52471),x52472),x52473),x52472)+P1(f775(f775(f232(x52471),x52472),x52473))
% 184.29/184.10 [5248]~P100(x52481)+~E(f775(f775(f179(x52481),x52482),x52483),x52483)+P1(f775(f775(f232(x52481),x52482),x52483))
% 184.29/184.10 [5249]~P92(x52491)+~E(f775(f775(f103(x52491),x52492),x52493),x52493)+P1(f775(f775(f232(x52491),x52492),x52493))
% 184.29/184.10 [5250]~P98(x52501)+~E(f775(f775(f104(x52501),x52502),x52503),x52502)+P1(f775(f775(f232(x52501),x52502),x52503))
% 184.29/184.10 [5266]~P100(x52661)+P18(x52661,x52662)+~P18(x52661,f775(f775(f140(x52661),x52663),x52662))
% 184.29/184.10 [5267]~P100(x52671)+P18(x52671,x52672)+~P18(x52671,f775(f775(f125(x52671),x52673),x52672))
% 184.29/184.10 [5268]~P100(x52681)+P18(x52681,x52682)+~P18(x52681,f775(f775(f125(x52681),x52682),x52683))
% 184.29/184.10 [5273]~P7(x52731)+~E(f52(x52731,x52733,x52732),f2(x52731))+P1(f775(f775(f279(x52731),x52732),x52733))
% 184.29/184.10 [5336]~P100(x53361)+P1(f775(f775(f232(x53361),x53363),x53362))+P1(f775(f775(f233(x53361),x53362),x53363))
% 184.29/184.10 [5338]~P100(x53381)+P1(f775(f775(f232(x53381),x53383),x53382))+P1(f775(f775(f232(x53381),x53382),x53383))
% 184.29/184.10 [5377]~P100(x53771)+E(f775(f775(f236(x53771),x53772),x53773),x53773)+~P1(f775(f775(f232(x53771),x53773),x53772))
% 184.29/184.10 [5379]~P100(x53791)+E(f775(f775(f236(x53791),x53792),x53793),x53792)+~P1(f775(f775(f232(x53791),x53792),x53793))
% 184.29/184.10 [5380]~P100(x53801)+E(f775(f775(f179(x53801),x53802),x53803),x53802)+~P1(f775(f775(f232(x53801),x53803),x53802))
% 184.29/184.10 [5382]~P100(x53821)+E(f775(f775(f179(x53821),x53822),x53823),x53823)+~P1(f775(f775(f232(x53821),x53822),x53823))
% 184.29/184.10 [5383]~P92(x53831)+E(f775(f775(f103(x53831),x53832),x53833),x53832)+~P1(f775(f775(f232(x53831),x53833),x53832))
% 184.29/184.10 [5385]~P92(x53851)+E(f775(f775(f103(x53851),x53852),x53853),x53853)+~P1(f775(f775(f232(x53851),x53852),x53853))
% 184.29/184.10 [5386]~P98(x53861)+E(f775(f775(f104(x53861),x53862),x53863),x53863)+~P1(f775(f775(f232(x53861),x53863),x53862))
% 184.29/184.10 [5388]~P98(x53881)+E(f775(f775(f104(x53881),x53882),x53883),x53882)+~P1(f775(f775(f232(x53881),x53882),x53883))
% 184.29/184.10 [5395]~P113(x53952)+E(x53951,f2(x53952))+E(f775(f775(f283(x53952),f775(f81(x53952),x53953)),f775(f81(x53952),x53951)),f775(f775(f283(x53952),x53953),x53951))
% 184.29/184.10 [5402]~P7(x54021)+E(f52(x54021,x54022,x54023),f2(x54021))+~P1(f775(f775(f279(x54021),x54023),x54022))
% 184.29/184.10 [5442]~P99(x54421)+E(f775(f294(x54421,x54422),x54423),f180(f857(x54421,a844)))+~P1(f775(f775(f232(x54421),x54423),x54422))
% 184.29/184.10 [5471]~P99(x54711)+E(f295(x54711,x54712,x54713),f180(f857(x54711,a844)))+~P1(f775(f775(f233(x54711),x54713),x54712))
% 184.29/184.10 [5472]~P99(x54721)+E(f297(x54721,x54722,x54723),f180(f857(x54721,a844)))+~P1(f775(f775(f232(x54721),x54723),x54722))
% 184.29/184.10 [5473]~P99(x54731)+E(f298(x54731,x54732,x54733),f180(f857(x54731,a844)))+~P1(f775(f775(f232(x54731),x54733),x54732))
% 184.29/184.10 [5522]~E(f775(f775(f3(a850),x55221),x55223),x55222)+E(x55221,f775(f775(f82(a850),x55222),x55223))+~P1(f775(f775(f232(a850),x55223),x55221))
% 184.29/184.10 [5523]~E(x55231,f775(f775(f82(a850),x55233),x55232))+E(f775(f775(f3(a850),x55231),x55232),x55233)+~P1(f775(f775(f232(a850),x55232),x55231))
% 184.29/184.10 [5566]~P1(f775(x55661,x55663))+P1(f775(x55661,f799(x55661,x55662)))+~P1(f775(f775(f232(a850),x55663),x55662))
% 184.29/184.10 [5567]~P1(f775(x55671,x55673))+P1(f775(x55671,f339(x55671,x55672)))+~P1(f775(f775(f233(a850),x55673),x55672))
% 184.29/184.10 [5575]~P99(x55751)+~E(f775(f294(x55751,x55752),x55753),f180(f857(x55751,a844)))+~P1(f775(f775(f233(x55751),x55752),x55753))
% 184.29/184.10 [5579]~P99(x55791)+~P1(f775(f775(f233(x55791),x55792),x55793))+P1(f775(f775(f232(x55791),x55792),x55793))
% 184.29/184.10 [5581]~P103(x55811)+~P1(f775(f775(f233(x55811),x55812),x55813))+P1(f775(f775(f232(x55811),x55812),x55813))
% 184.29/184.10 [5694]~P99(x56941)+~E(f295(x56941,x56942,x56943),f180(f857(x56941,a844)))+~P1(f775(f775(f232(x56941),x56942),x56943))
% 184.29/184.10 [5695]~P99(x56951)+~E(f297(x56951,x56952,x56953),f180(f857(x56951,a844)))+~P1(f775(f775(f233(x56951),x56952),x56953))
% 184.29/184.10 [5696]~P99(x56961)+~E(f180(f857(x56961,a844)),f295(x56961,x56962,x56963))+~P1(f775(f775(f232(x56961),x56962),x56963))
% 184.29/184.10 [5697]~P99(x56971)+~E(f180(f857(x56971,a844)),f297(x56971,x56972,x56973))+~P1(f775(f775(f233(x56971),x56972),x56973))
% 184.29/184.10 [5710]P1(f775(x57101,x57102))+~P1(f775(x57101,f800(x57101,x57103)))+~P1(f775(f775(f232(a850),x57102),x57103))
% 184.29/184.10 [5711]P1(f775(x57111,x57112))+~P1(f775(x57111,f342(x57111,x57113)))+~P1(f775(f775(f233(a850),x57112),x57113))
% 184.29/184.10 [5719]~E(x57191,f775(a114,x57193))+P1(f775(f775(f233(a850),x57191),f775(a114,x57192)))+~P1(f775(f775(f233(a850),x57193),x57192))
% 184.29/184.10 [5735]E(x57351,x57352)+~E(f775(f775(f83(a850),x57353),x57351),f775(f775(f83(a850),x57353),x57352))+~P1(f775(f775(f233(a850),f2(a850)),x57353))
% 184.29/184.10 [5796]E(f775(x57961,f404(x57961,x57962,x57963)),f80(a850))+~E(f775(f775(f8(x57963,a850),x57961),x57962),f80(a850))+~P1(f775(f63(x57963),x57962))
% 184.29/184.10 [5806]~P9(x58061)+P1(f775(f775(f232(x58061),x58062),f44(x58061,x58063)))+~P1(f775(f775(f334(x58061),x58062),x58063))
% 184.29/184.10 [5830]~P99(x58301)+~P1(f775(f775(f233(x58301),x58303),x58302))+~P1(f775(f775(f233(x58301),x58302),x58303))
% 184.29/184.10 [5834]~P103(x58341)+~P1(f775(f775(f233(x58341),x58343),x58342))+~P1(f775(f775(f233(x58341),x58342),x58343))
% 184.29/184.10 [5835]~P103(x58351)+~P1(f775(f775(f232(x58351),x58353),x58352))+~P1(f775(f775(f233(x58351),x58352),x58353))
% 184.29/184.10 [5836]~P100(x58361)+~P1(f775(f775(f233(x58361),x58363),x58362))+~P1(f775(f775(f233(x58361),x58362),x58363))
% 184.29/184.10 [5839]~P100(x58391)+~P1(f775(f775(f232(x58391),x58393),x58392))+~P1(f775(f775(f233(x58391),x58392),x58393))
% 184.29/184.10 [5858]~E(x58582,x58583)+~E(x58581,x58582)+E(f282(a850,f279(a850),x58581,x58582),f775(f775(f302(a850),x58583),f180(f857(a850,a844))))
% 184.29/184.10 [5866]~E(f775(x58662,f405(x58662,x58663,x58661)),f2(a850))+E(f775(f775(f8(x58661,a850),x58662),x58663),f2(a850))+~P1(f775(f63(x58661),x58663))
% 184.29/184.10 [5867]~E(f775(x58672,f450(x58672,x58673,x58671)),f80(a850))+E(f775(f775(f11(x58671,a850),x58672),x58673),f80(a850))+~P1(f775(f63(x58671),x58673))
% 184.29/184.10 [5881]~P102(x58811)+~P1(f775(f775(f233(x58811),x58813),x58812))+P1(f775(f775(f334(x58811),x58812),f775(f296(x58811),x58813)))
% 184.29/184.10 [5882]~P102(x58821)+~P1(f775(f775(f232(x58821),x58823),x58822))+P1(f775(f775(f334(x58821),x58822),f775(f258(x58821),x58823)))
% 184.29/184.10 [5883]~P102(x58831)+~P1(f775(f775(f233(x58831),x58832),x58833))+P1(f775(f775(f334(x58831),x58832),f775(f257(x58831),x58833)))
% 184.29/184.10 [5884]~P102(x58841)+~P1(f775(f775(f232(x58841),x58842),x58843))+P1(f775(f775(f334(x58841),x58842),f775(f293(x58841),x58843)))
% 184.29/184.10 [5885]~P104(x58851)+~P1(f775(f775(f279(x58851),x58852),x58853))+P1(f775(f775(f279(x58851),x58852),f775(f81(x58851),x58853)))
% 184.29/184.10 [5886]~P110(x58861)+~P1(f775(f775(f279(x58861),x58862),x58863))+P1(f775(f775(f279(x58861),x58862),f775(f77(x58861),x58863)))
% 184.29/184.10 [5897]E(f775(x58971,f406(x58971,x58972,x58973)),f775(a114,f2(a850)))+~E(f775(f775(f8(x58973,a850),x58971),x58972),f775(a114,f2(a850)))+~P1(f775(f63(x58973),x58972))
% 184.29/184.10 [5981]~P9(x59811)+~P1(f775(f775(f334(x59811),x59813),x59812))+P1(f775(f775(f232(x59811),f45(x59811,x59812)),x59813))
% 184.29/184.10 [5999]~P1(f775(f775(f232(a850),x59991),x59993))+P1(f775(f775(f232(a850),x59991),x59992))+~P1(f775(f775(f232(a850),x59993),x59992))
% 184.29/184.10 [6000]~P1(f775(f775(f232(a1),x60001),x60003))+P1(f775(f775(f232(a1),x60001),x60002))+~P1(f775(f775(f232(a1),x60003),x60002))
% 184.29/184.10 [6001]~P1(f775(f775(f279(a850),x60011),x60013))+P1(f775(f775(f279(a850),x60011),x60012))+~P1(f775(f775(f279(a850),x60013),x60012))
% 184.29/184.10 [6019]~P102(x60191)+~P1(f775(f775(f334(x60191),x60193),f775(f296(x60191),x60192)))+P1(f775(f775(f233(x60191),x60192),x60193))
% 184.29/184.10 [6020]~P102(x60201)+~P1(f775(f775(f334(x60201),x60202),f775(f257(x60201),x60203)))+P1(f775(f775(f233(x60201),x60202),x60203))
% 184.29/184.10 [6021]~P102(x60211)+~P1(f775(f775(f334(x60211),x60213),f775(f258(x60211),x60212)))+P1(f775(f775(f232(x60211),x60212),x60213))
% 184.29/184.10 [6022]~P102(x60221)+~P1(f775(f775(f334(x60221),x60222),f775(f293(x60221),x60223)))+P1(f775(f775(f232(x60221),x60222),x60223))
% 184.29/184.10 [6023]~P110(x60231)+~P1(f775(f775(f279(x60231),x60232),f775(f77(x60231),x60233)))+P1(f775(f775(f279(x60231),x60232),x60233))
% 184.29/184.10 [6024]~P104(x60241)+~P1(f775(f775(f279(x60241),x60242),f775(f81(x60241),x60243)))+P1(f775(f775(f279(x60241),x60242),x60243))
% 184.29/184.10 [6248]~P62(x62481)+P1(f775(f775(f233(x62481),f2(x62481)),f802(x62483,x62482,x62481)))+P1(f775(f775(f232(x62481),x62482),x62483))
% 184.29/184.10 [6249]~P63(x62491)+P1(f775(f775(f233(x62491),f2(x62491)),f809(x62493,x62492,x62491)))+P1(f775(f775(f232(x62491),x62492),x62493))
% 184.29/184.10 [6320]~P77(x63201)+~P1(f775(f775(f233(x63201),x63203),f775(f81(x63201),x63202)))+P1(f775(f775(f233(x63201),x63202),f775(f81(x63201),x63203)))
% 184.29/184.10 [6322]~P77(x63221)+~P1(f775(f775(f232(x63221),x63223),f775(f81(x63221),x63222)))+P1(f775(f775(f232(x63221),x63222),f775(f81(x63221),x63223)))
% 184.29/184.10 [6333]~P1(f775(f775(f233(a850),x63331),x63333))+~P1(f775(f775(f233(a850),x63333),x63332))+P1(f775(f775(f233(a850),f775(a114,x63331)),x63332))
% 184.29/184.10 [6366]~P110(x63661)+P1(f775(f775(f233(x63661),f775(f105(x63661),x63662)),f775(f105(x63661),x63663)))+~P1(f775(f775(f233(a1),x63662),x63663))
% 184.29/184.10 [6367]~P117(x63671)+P1(f775(f775(f233(x63671),f775(f102(x63671),x63672)),f775(f102(x63671),x63673)))+~P1(f775(f775(f233(a850),x63672),x63673))
% 184.29/184.10 [6368]~P117(x63681)+P1(f775(f775(f232(x63681),f775(f102(x63681),x63682)),f775(f102(x63681),x63683)))+~P1(f775(f775(f232(a850),x63682),x63683))
% 184.29/184.10 [6369]~P110(x63691)+P1(f775(f775(f232(x63691),f775(f105(x63691),x63692)),f775(f105(x63691),x63693)))+~P1(f775(f775(f232(a1),x63692),x63693))
% 184.29/184.10 [6375]~P100(x63751)+E(f775(f775(f103(f857(x63751,a844)),f775(f257(x63751),x63752)),f775(f294(x63751,x63752),x63753)),f775(f257(x63751),x63753))+~P1(f775(f775(f232(x63751),x63752),x63753))
% 184.29/184.10 [6406]~P77(x64061)+~P1(f775(f775(f233(x64061),x64063),x64062))+P1(f775(f775(f233(x64061),f775(f81(x64061),x64062)),f775(f81(x64061),x64063)))
% 184.29/184.10 [6408]~P77(x64081)+~P1(f775(f775(f232(x64081),x64083),x64082))+P1(f775(f775(f232(x64081),f775(f81(x64081),x64082)),f775(f81(x64081),x64083)))
% 184.29/184.10 [6410]~P90(x64101)+~P1(f775(f775(f232(x64101),x64103),x64102))+P1(f775(f775(f232(x64101),f775(f81(x64101),x64102)),f775(f81(x64101),x64103)))
% 184.29/184.10 [6445]~P100(x64451)+E(f775(f775(f103(f857(x64451,a844)),f775(f257(x64451),x64452)),f295(x64451,x64452,x64453)),f775(f293(x64451),x64453))+~P1(f775(f775(f232(x64451),x64452),x64453))
% 184.29/184.10 [6446]~P100(x64461)+E(f775(f775(f103(f857(x64461,a844)),f775(f293(x64461),x64462)),f297(x64461,x64462,x64463)),f775(f293(x64461),x64463))+~P1(f775(f775(f232(x64461),x64462),x64463))
% 184.29/184.10 [6447]~P100(x64471)+E(f775(f775(f103(f857(x64471,a844)),f775(f293(x64471),x64472)),f298(x64471,x64472,x64473)),f775(f257(x64471),x64473))+~P1(f775(f775(f233(x64471),x64472),x64473))
% 184.29/184.10 [6485]~P100(x64851)+E(f775(f775(f103(f857(x64851,a844)),f775(f294(x64851,x64852),x64853)),f775(f258(x64851),x64853)),f775(f258(x64851),x64852))+~P1(f775(f775(f232(x64851),x64852),x64853))
% 184.29/184.10 [6649]~P100(x66491)+E(f775(f775(f103(f857(x66491,a844)),f295(x66491,x66492,x66493)),f775(f296(x66491),x66493)),f775(f258(x66491),x66492))+~P1(f775(f775(f232(x66491),x66492),x66493))
% 184.29/184.10 [6650]~P100(x66501)+E(f775(f775(f103(f857(x66501,a844)),f297(x66501,x66502,x66503)),f775(f296(x66501),x66503)),f775(f296(x66501),x66502))+~P1(f775(f775(f232(x66501),x66502),x66503))
% 184.29/184.10 [6651]~P100(x66511)+E(f775(f775(f103(f857(x66511,a844)),f298(x66511,x66512,x66513)),f775(f258(x66511),x66513)),f775(f296(x66511),x66512))+~P1(f775(f775(f233(x66511),x66512),x66513))
% 184.29/184.10 [6668]P1(f775(x66681,x66682))+~P1(f775(f775(f232(a850),x66682),x66683))+P1(f775(f775(f334(a850),f800(x66681,x66683)),f295(a850,f2(a850),x66683)))
% 184.29/184.10 [6678]P1(f775(f775(f279(a1),x66781),f52(a1,x66782,x66783)))+~P1(f775(f775(f279(a1),x66781),x66782))+~P1(f775(f775(f279(a1),x66781),x66783))
% 184.29/184.10 [6704]E(x67041,x67042)+~E(f775(f775(f153(x67043),x67041),f730(x67043,x67042,x67041)),f775(f775(f153(x67043),x67042),f730(x67043,x67042,x67041)))+~E(f775(f181(f851(x67043)),x67041),f775(f181(f851(x67043)),x67042))
% 184.29/184.10 [6711]~E(x67113,f775(f775(f43(a850),x67111),x67112))+~P1(f775(f775(f233(a850),f2(a850)),x67112))+P1(f775(f775(f233(a850),x67111),f775(f775(f83(a850),x67112),f775(a114,x67113))))
% 184.29/184.10 [6726]~P1(f775(x67261,x67263))+~P1(f775(f775(f232(a850),x67263),x67262))+P1(f775(f775(f334(a850),f799(x67261,x67262)),f295(a850,f2(a850),x67262)))
% 184.29/184.10 [6769]~P1(f775(x67691,x67693))+P1(f775(x67691,f340(x67691,x67692)))+~P1(f775(f775(f334(a850),x67693),f295(a850,f2(a850),x67692)))
% 184.29/184.10 [6792]~P117(x67923)+~P1(f775(f775(f233(x67923),f775(f102(x67923),x67921)),f775(f102(x67923),x67922)))+P1(f775(f775(f233(a850),x67921),x67922))
% 184.29/184.10 [6793]~P110(x67933)+~P1(f775(f775(f233(x67933),f775(f105(x67933),x67931)),f775(f105(x67933),x67932)))+P1(f775(f775(f233(a1),x67931),x67932))
% 184.29/184.10 [6794]~P117(x67943)+~P1(f775(f775(f232(x67943),f775(f102(x67943),x67941)),f775(f102(x67943),x67942)))+P1(f775(f775(f232(a850),x67941),x67942))
% 184.29/184.10 [6795]~P110(x67953)+~P1(f775(f775(f232(x67953),f775(f105(x67953),x67951)),f775(f105(x67953),x67952)))+P1(f775(f775(f232(a1),x67951),x67952))
% 184.29/184.10 [6811]~P117(x68111)+~P1(f775(f775(f233(x68111),f80(x68111)),x68112))+P1(f775(f775(f233(x68111),f80(x68111)),f775(f775(f242(x68111),x68112),f775(a114,x68113))))
% 184.29/184.10 [6815]~P77(x68151)+~P1(f775(f775(f233(x68151),f775(f81(x68151),x68153)),f775(f81(x68151),x68152)))+P1(f775(f775(f233(x68151),x68152),x68153))
% 184.29/184.10 [6816]~P77(x68161)+~P1(f775(f775(f232(x68161),f775(f81(x68161),x68163)),f775(f81(x68161),x68162)))+P1(f775(f775(f232(x68161),x68162),x68163))
% 184.29/184.10 [6817]~P90(x68171)+~P1(f775(f775(f232(x68171),f775(f81(x68171),x68173)),f775(f81(x68171),x68172)))+P1(f775(f775(f232(x68171),x68172),x68173))
% 184.29/184.10 [6843]P1(f775(x68431,x68432))+~P1(f775(x68431,f839(x68431,x68433)))+~P1(f775(f775(f334(a850),x68432),f295(a850,f2(a850),x68433)))
% 184.29/184.10 [6864]~P62(x68641)+P1(f775(f775(f233(x68641),f802(x68643,x68642,x68641)),f80(x68641)))+P1(f775(f775(f232(x68641),x68642),x68643))
% 184.29/184.10 [6883]~E(f52(a850,x68833,x68832),f52(a850,x68831,x68832))+E(f775(f775(f82(a850),x68831),f775(f775(f83(a850),x68832),f811(x68831,x68832,x68833))),x68833)+~P1(f775(f775(f232(a850),x68831),x68833))
% 184.29/184.10 [6901]E(f775(x69011,f606(x69011,x69012,x69013)),f183(x69012))+~P1(f775(f63(x69013),f169(x69013,x69012,x69011)))+P1(f775(f63(x69013),f239(f857(x69013,a844))))
% 184.29/184.10 [6943]E(f775(f775(f8(x69431,a850),x69432),x69433),f2(a850))+~P1(f775(f63(x69431),x69433))+P1(f775(f775(f334(x69431),f405(x69432,x69433,x69431)),x69433))
% 184.29/184.10 [6944]E(f775(f775(f11(x69441,a850),x69442),x69443),f80(a850))+~P1(f775(f63(x69441),x69443))+P1(f775(f775(f334(x69441),f450(x69442,x69443,x69441)),x69443))
% 184.29/184.10 [6966]~P100(x69661)+~P1(f775(f775(f233(x69661),x69662),x69663))+P1(f775(f775(f233(f857(x69661,a844)),f775(f257(x69661),x69662)),f775(f257(x69661),x69663)))
% 184.29/184.10 [6967]~P100(x69671)+~P1(f775(f775(f232(x69671),x69672),x69673))+P1(f775(f775(f232(f857(x69671,a844)),f775(f257(x69671),x69672)),f775(f257(x69671),x69673)))
% 184.29/184.10 [6968]~P100(x69681)+~P1(f775(f775(f232(x69681),x69683),x69682))+P1(f775(f775(f232(f857(x69681,a844)),f775(f296(x69681),x69682)),f775(f296(x69681),x69683)))
% 184.29/184.10 [6969]~P99(x69691)+~P1(f775(f775(f232(x69691),x69692),x69693))+P1(f775(f775(f232(f857(x69691,a844)),f775(f293(x69691),x69692)),f775(f293(x69691),x69693)))
% 184.29/184.10 [6970]~P99(x69701)+~P1(f775(f775(f232(x69701),x69703),x69702))+P1(f775(f775(f232(f857(x69701,a844)),f775(f258(x69701),x69702)),f775(f258(x69701),x69703)))
% 184.29/184.10 [6975]~P9(x69751)+P1(f775(f775(f232(x69751),x69752),f45(x69751,x69753)))+P1(f775(f775(f334(x69751),f672(x69753,x69752,x69751)),x69753))
% 184.29/184.10 [6980]~P77(x69801)+P1(f775(f775(f233(x69801),f775(f775(f3(x69801),x69802),x69803)),f2(x69801)))+~P1(f775(f775(f233(x69801),x69802),x69803))
% 184.29/184.10 [6981]~P77(x69811)+P1(f775(f775(f232(x69811),f775(f775(f3(x69811),x69812),x69813)),f2(x69811)))+~P1(f775(f775(f232(x69811),x69812),x69813))
% 184.29/184.10 [7020]~P1(f775(f775(f279(a1),x70201),f52(a1,x70202,x70203)))+~P1(f775(f775(f279(a1),x70201),x70203))+P1(f775(f775(f279(a1),x70201),x70202))
% 184.29/184.10 [7027]P1(f775(x70271,x70272))+P1(f775(f775(f232(a850),f839(x70271,x70273)),x70273))+~P1(f775(f775(f334(a850),x70272),f295(a850,f2(a850),x70273)))
% 184.29/184.10 [7069]~E(f775(f775(f8(x70691,a850),x70692),x70693),f80(a850))+~P1(f775(f63(x70691),x70693))+P1(f775(f775(f334(x70691),f404(x70692,x70693,x70691)),x70693))
% 184.29/184.10 [7070]~P1(f775(x70701,x70703))+P1(f775(f775(f232(a850),f340(x70701,x70702)),x70702))+~P1(f775(f775(f334(a850),x70703),f295(a850,f2(a850),x70702)))
% 184.29/184.10 [7108]~P9(x71081)+P1(f775(f775(f334(x71081),f673(x71083,x71082,x71081)),x71082))+P1(f775(f775(f232(x71081),f44(x71081,x71082)),x71083))
% 184.29/184.10 [7138]~E(f775(f775(f8(x71381,a850),x71382),x71383),f775(a114,f2(a850)))+~P1(f775(f63(x71381),x71383))+P1(f775(f775(f334(x71381),f406(x71382,x71383,x71381)),x71383))
% 184.29/184.10 [7149]E(x71491,f2(a850))+P1(f775(x71492,f52(a850,x71493,x71491)))+P1(f775(f775(f233(a850),f804(x71491,x71493,x71492)),x71491))
% 184.29/184.10 [7273]~P1(f775(x72731,x72732))+P1(f775(x72731,f52(a850,x72732,x72733)))+P1(f775(f775(f233(a850),f804(x72733,x72732,x72731)),x72733))
% 184.29/184.10 [7400]E(x74001,f115(x74002))+~P1(f775(f775(f334(f851(x74002)),x74001),f149(x74002,x74003)))+P1(f775(f775(f334(x74002),f748(x74003,x74001,x74002)),x74003))
% 184.29/184.10 [7420]~P100(x74201)+E(f775(f775(f103(f857(x74201,a844)),f775(f775(f302(x74201),x74202),f180(f857(x74201,a844)))),f298(x74201,x74202,x74203)),f775(f294(x74201,x74202),x74203))+~P1(f775(f775(f233(x74201),x74202),x74203))
% 184.29/184.10 [7445]~P100(x74451)+E(f775(f775(f103(f857(x74451,a844)),f775(f775(f302(x74451),x74452),f180(f857(x74451,a844)))),f297(x74451,x74452,x74453)),f295(x74451,x74452,x74453))+~P1(f775(f775(f232(x74451),x74452),x74453))
% 184.29/184.10 [7557]~P100(x75571)+P1(f775(f775(f233(x75571),x75572),x75573))+~P1(f775(f775(f233(f857(x75571,a844)),f775(f257(x75571),x75572)),f775(f257(x75571),x75573)))
% 184.29/184.10 [7558]~P99(x75581)+P1(f775(f775(f232(x75581),x75582),x75583))+~P1(f775(f775(f232(f857(x75581,a844)),f775(f258(x75581),x75583)),f775(f258(x75581),x75582)))
% 184.29/184.10 [7559]~P100(x75591)+P1(f775(f775(f232(x75591),x75592),x75593))+~P1(f775(f775(f232(f857(x75591,a844)),f775(f296(x75591),x75593)),f775(f296(x75591),x75592)))
% 184.29/184.10 [7560]~P99(x75601)+P1(f775(f775(f232(x75601),x75602),x75603))+~P1(f775(f775(f232(f857(x75601,a844)),f775(f293(x75601),x75602)),f775(f293(x75601),x75603)))
% 184.29/184.10 [7561]~P100(x75611)+P1(f775(f775(f232(x75611),x75612),x75613))+~P1(f775(f775(f232(f857(x75611,a844)),f775(f257(x75611),x75612)),f775(f257(x75611),x75613)))
% 184.29/184.10 [7585]~P77(x75851)+~P1(f775(f775(f233(x75851),f775(f775(f3(x75851),x75852),x75853)),f2(x75851)))+P1(f775(f775(f233(x75851),x75852),x75853))
% 184.29/184.10 [7586]~P77(x75861)+~P1(f775(f775(f232(x75861),f775(f775(f3(x75861),x75862),x75863)),f2(x75861)))+P1(f775(f775(f232(x75861),x75862),x75863))
% 184.29/184.10 [7746]E(x77461,f2(a850))+~E(f775(f132(a850,a850,f82(a850),x77462),x77463),f2(a850))+~P1(f775(f775(f334(a850),x77461),f775(f158(a850),x77463)))
% 184.29/184.10 [7750]~P9(x77501)+~P1(f775(f775(f232(x77501),f673(x77503,x77502,x77501)),x77503))+P1(f775(f775(f232(x77501),f44(x77501,x77502)),x77503))
% 184.29/184.10 [7901]P1(f775(f775(f232(a1),f2(a1)),f795(x79011,x79012,x79013)))+P1(f775(f775(x79012,f775(f775(f43(a1),x79011),x79013)),f52(a1,x79011,x79013)))+~P1(f775(f775(f233(a1),f2(a1)),x79013))
% 184.29/184.10 [7994]E(x79941,x79942)+~E(f775(f181(f851(x79943)),x79941),f775(f181(f851(x79943)),x79942))+~P1(f775(f775(f251(x79943,x79943,a844),a330),f713(x79943,x79941,x79942)))
% 184.29/184.10 [8060]~P36(x80602,x80603)+E(x80601,f180(f857(x80602,a844)))+~P1(f775(f775(f232(f857(x80602,a844)),x80601),f775(f277(x80602,x80602,x80603),x80601)))
% 184.29/184.10 [8088]~P63(x80881)+~P1(f775(f775(f232(x80881),x80882),f775(f775(f82(x80881),x80883),f809(x80883,x80882,x80881))))+P1(f775(f775(f232(x80881),x80882),x80883))
% 184.29/184.10 [8124]P47(x81241,x81242,x81243)+P1(f775(f775(f334(x81241),f506(x81243,x81242,x81241)),x81242))+P1(f775(f775(f334(f856(x81241,x81241)),f507(x81243,x81242,x81241)),x81243))
% 184.29/184.10 [8147]P1(f775(f775(x81472,f775(f775(f43(a1),x81471),x81473)),f52(a1,x81471,x81473)))+~P1(f775(f775(f233(a1),f2(a1)),x81473))+P1(f775(f775(f233(a1),f795(x81471,x81472,x81473)),x81473))
% 184.29/184.10 [8171]E(f775(f303(a850,a850,f775(f775(f9(a850,a850,a850),f3(a850)),x81711)),f775(f294(a850,x81712),x81713)),f180(f857(a850,a844)))+P1(f775(f775(f233(a850),x81711),x81713))+P1(f775(f775(f233(a850),x81712),x81713))
% 184.29/184.10 [8273]E(f775(f303(a850,a850,f775(f775(f9(a850,a850,a850),f3(a850)),x82731)),f775(f294(a850,x82732),x82733)),f775(f775(f302(a850),f2(a850)),f180(f857(a850,a844))))+P1(f775(f775(f233(a850),x82731),x82733))+~P1(f775(f775(f233(a850),x82732),x82733))
% 184.29/184.10 [8288]~P100(x82881)+E(f139(x82881,x82881,f7(x82881),x82882,x82883),x82883)+~P1(f775(f775(f334(x82881),x82882),f775(f158(x82881),x82883)))
% 184.29/184.10 [8303]P29(x83031,x83031,x83032,x83033)+~P1(f775(f63(x83031),x83033))+~P1(f775(f775(f232(f857(x83031,a844)),x83033),f775(f303(x83031,x83031,x83032),x83033)))
% 184.29/184.10 [8330]E(f775(f775(f82(a1),f775(f775(f83(a1),x83301),f796(x83302,x83303,x83301))),f795(x83302,x83303,x83301)),x83302)+P1(f775(f775(x83303,f775(f775(f43(a1),x83302),x83301)),f52(a1,x83302,x83301)))+~P1(f775(f775(f233(a1),f2(a1)),x83301))
% 184.29/184.10 [8562]~P1(f775(f775(x85621,f796(x85622,x85621,x85623)),f795(x85622,x85621,x85623)))+P1(f775(f775(x85621,f775(f775(f43(a1),x85622),x85623)),f52(a1,x85622,x85623)))+~P1(f775(f775(f233(a1),f2(a1)),x85623))
% 184.29/184.10 [9352]~P1(f775(f63(x93521),x93522))+~P1(f775(f775(f334(x93521),x93523),x93522))+P1(f775(f775(f233(a850),f775(f42(x93521),f775(f775(f3(f857(x93521,a844)),x93522),f775(f775(f302(x93521),x93523),f180(f857(x93521,a844)))))),f775(f42(x93521),x93522)))
% 184.29/184.10 [9928]P47(x99281,x99282,x99283)+~P1(f775(f775(f251(x99281,x99281,a844),f775(f775(f9(x99281,f857(x99281,a844),f857(x99281,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x99281,a844),f857(x99281,a844)),x99281),f10(a844,a844,x99281)),f775(f775(f10(a844,f857(a844,a844),x99281),a331),f775(f775(f9(x99281,f857(x99281,a844),a844),f334(x99281)),x99282)))),f775(f775(f9(x99281,f857(x99281,a844),a844),f334(x99281)),x99282))),f507(x99283,x99282,x99281)))+P1(f775(f775(f334(x99281),f506(x99283,x99282,x99281)),x99282))
% 184.29/184.10 [5356]~P113(x53562)+E(x53561,f2(x53562))+E(f775(f775(f283(x53562),x53563),f775(f81(x53562),x53561)),f775(f81(x53562),f775(f775(f283(x53562),x53563),x53561)))
% 184.29/184.10 [5487]~E(x54873,f180(f857(x54871,a844)))+~E(x54872,f180(f857(x54871,a844)))+E(f775(f775(f103(f857(x54871,a844)),x54872),x54873),f180(f857(x54871,a844)))
% 184.29/184.10 [5541]~E(x55413,f2(a850))+~P1(f775(x55411,f2(a850)))+P1(f775(x55411,f775(f775(f43(a850),x55412),x55413)))
% 184.29/184.10 [5689]~P63(x56892)+E(x56891,f2(x56892))+E(f775(f775(f283(x56892),f775(f77(x56892),x56893)),f775(f77(x56892),x56891)),f775(f77(x56892),f775(f775(f283(x56892),x56893),x56891)))
% 184.29/184.10 [5784]~P85(x57841)+~E(x57842,f80(x57841))+P1(f775(f775(f279(x57841),x57842),f775(f775(f242(x57841),x57842),x57843)))
% 184.29/184.10 [5801]~P7(x58011)+E(f775(f775(f83(x58011),x58012),f775(f775(f43(x58011),x58013),x58012)),x58013)+~P1(f775(f775(f279(x58011),x58012),x58013))
% 184.29/184.10 [5855]~P1(f775(f63(x58551),x58553))+E(f775(f42(x58551),f775(f775(f302(x58551),x58552),x58553)),f775(a114,f775(f42(x58551),x58553)))+P1(f775(f775(f334(x58551),x58552),x58553))
% 184.29/184.10 [5931]~E(x59312,f2(a850))+P1(f775(x59311,f2(a850)))+~P1(f775(x59311,f775(f775(f43(a850),x59313),x59312)))
% 184.29/184.10 [5949]~P1(f775(f63(x59491),x59493))+E(f775(f42(x59491),f775(f775(f302(x59491),x59492),x59493)),f775(f42(x59491),x59493))+~P1(f775(f775(f334(x59491),x59492),x59493))
% 184.29/184.10 [5983]~P1(f775(f63(x59831),x59833))+E(f775(f42(x59831),f775(f775(f302(x59831),x59832),x59833)),f775(f775(f82(a850),f80(a850)),f775(f42(x59831),x59833)))+P1(f775(f775(f334(x59831),x59832),x59833))
% 184.29/184.10 [5990]~P8(x59901)+E(f775(f775(f43(x59901),x59902),f775(f81(x59901),x59903)),f775(f81(x59901),f775(f775(f43(x59901),x59902),x59903)))+~P1(f775(f775(f279(x59901),x59903),x59902))
% 184.29/184.10 [6105]E(f775(f775(f82(a850),x61051),f801(x61051,x61052,x61053)),x61052)+~P1(f775(x61053,f2(a850)))+P1(f775(x61053,f775(f775(f3(a850),x61052),x61051)))
% 184.29/184.10 [6106]E(f775(f775(f82(a850),x61061),f808(x61061,x61062,x61063)),x61062)+~P1(f775(x61063,f2(a850)))+P1(f775(x61063,f775(f775(f3(a850),x61062),x61061)))
% 184.29/184.10 [6130]~P8(x61301)+E(f775(f775(f43(x61301),f775(f81(x61301),x61302)),x61303),f775(f81(x61301),f775(f775(f43(x61301),x61302),x61303)))+~P1(f775(f775(f279(x61301),x61303),x61302))
% 184.29/184.10 [6153]~P9(x61531)+~P1(f775(f63(x61531),x61533))+E(f775(f775(f66(x61531,x61531,f103(x61531)),x61532),x61533),f775(f775(f103(x61531),x61532),f44(x61531,x61533)))
% 184.29/184.10 [6154]~P9(x61541)+~P1(f775(f63(x61541),x61543))+E(f775(f775(f66(x61541,x61541,f104(x61541)),x61542),x61543),f775(f775(f104(x61541),x61542),f45(x61541,x61543)))
% 184.29/184.10 [6160]~P88(x61601)+~E(f775(f106(x61601),x61602),f775(f106(x61601),x61603))+P33(x61601,f775(f106(x61601),f775(f775(f82(a1),x61602),f775(f81(a1),x61603))))
% 184.29/184.10 [6167]~P133(x61671)+E(f775(f775(f3(x61671),f775(f102(x61671),x61672)),f775(f102(x61671),x61673)),f775(f102(x61671),f775(f775(f3(a850),x61672),x61673)))+~P1(f775(f775(f232(a850),x61673),x61672))
% 184.29/184.10 [6173]~P104(x61731)+~P1(f775(f775(f279(x61731),x61732),x61733))+P1(f775(f775(f279(x61731),f775(f81(x61731),x61732)),x61733))
% 184.29/184.10 [6174]~P110(x61741)+~P1(f775(f775(f279(x61741),x61742),x61743))+P1(f775(f775(f279(x61741),f775(f77(x61741),x61742)),x61743))
% 184.29/184.10 [6259]E(f775(f775(f82(a850),x62591),f801(x62591,x62592,x62593)),x62592)+P1(f775(f775(f233(a850),x62592),x62591))+P1(f775(x62593,f775(f775(f3(a850),x62592),x62591)))
% 184.29/184.10 [6260]E(f775(f775(f82(a850),x62601),f808(x62601,x62602,x62603)),x62602)+P1(f775(f775(f233(a850),x62602),x62601))+P1(f775(x62603,f775(f775(f3(a850),x62602),x62601)))
% 184.29/184.10 [6278]~P110(x62781)+E(f775(f775(f83(x62781),f775(f77(x62781),x62782)),x62783),f775(f77(x62781),f775(f775(f83(x62781),x62782),x62783)))+~P1(f775(f775(f232(x62781),f2(x62781)),x62783))
% 184.29/184.10 [6279]~P62(x62791)+E(f775(f775(f283(x62791),f775(f77(x62791),x62792)),x62793),f775(f77(x62791),f775(f775(f283(x62791),x62792),x62793)))+~P1(f775(f775(f233(x62791),f2(x62791)),x62793))
% 184.29/184.10 [6288]~P93(x62881)+~P1(f775(f63(x62881),x62883))+E(f775(f775(f66(x62881,x62881,f103(x62881)),x62882),x62883),f15(x62881,f775(f775(f302(x62881),x62882),x62883)))
% 184.29/184.10 [6289]~P100(x62891)+~P1(f775(f63(x62891),x62893))+E(f775(f775(f66(x62891,x62891,f179(x62891)),x62892),x62893),f16(x62891,f775(f775(f302(x62891),x62892),x62893)))
% 184.29/184.10 [6290]~P100(x62901)+~P1(f775(f63(x62901),x62903))+E(f775(f775(f66(x62901,x62901,f236(x62901)),x62902),x62903),f17(x62901,f775(f775(f302(x62901),x62902),x62903)))
% 184.29/184.10 [6291]~P93(x62911)+~P1(f775(f63(x62911),x62913))+E(f775(f775(f66(x62911,x62911,f104(x62911)),x62912),x62913),f12(x62911,f775(f775(f302(x62911),x62912),x62913)))
% 184.29/184.10 [6335]E(x63351,f115(x63352))+~E(f164(x63352,x63353),f115(f851(x63352)))+~P1(f775(f775(f334(f851(x63352)),x63351),f775(f158(f851(x63352)),x63353)))
% 184.29/184.10 [6354]~P85(x63541)+~P1(f775(f775(f233(a850),f2(a850)),x63543))+P1(f775(f775(f279(x63541),x63542),f775(f775(f242(x63541),x63542),x63543)))
% 184.29/184.10 [6385]~P1(f775(f127(x63851),x63853))+P1(f775(f775(f334(x63851),x63852),f775(f158(x63851),x63853)))+P1(f775(f127(x63851),f775(f775(f140(x63851),x63852),x63853)))
% 184.29/184.10 [6397]~P91(x63971)+~P1(f775(f63(x63971),x63973))+E(f775(f65(x63971,f83(x63971)),f775(f775(f302(x63971),x63972),x63973)),f775(f775(f66(x63971,x63971,f83(x63971)),x63972),x63973))
% 184.29/184.10 [6418]~P100(x64181)+~P1(f775(f63(x64181),x64183))+E(f13(x64181,f179(x64181),f775(f775(f302(x64181),x64182),x64183)),f775(f775(f66(x64181,x64181,f179(x64181)),x64182),x64183))
% 184.29/184.10 [6419]~P100(x64191)+~P1(f775(f63(x64191),x64193))+E(f14(x64191,f236(x64191),f775(f775(f302(x64191),x64192),x64193)),f775(f775(f66(x64191,x64191,f236(x64191)),x64192),x64193))
% 184.29/184.10 [6421]P1(f775(x64211,f2(a850)))+~P1(f775(f775(f233(a850),x64212),x64213))+~P1(f775(x64211,f775(f775(f3(a850),x64212),x64213)))
% 184.29/184.10 [6440]~P110(x64401)+P1(f775(f775(f233(x64401),x64402),x64403))+~P1(f775(f775(f233(x64401),f775(f77(x64401),x64402)),x64403))
% 184.29/184.10 [6442]~P79(x64421)+P1(f775(f775(f232(x64421),x64422),x64423))+~P1(f775(f775(f232(x64421),f775(f77(x64421),x64422)),x64423))
% 184.29/184.10 [6443]~P110(x64431)+P1(f775(f775(f279(x64431),x64432),x64433))+~P1(f775(f775(f279(x64431),f775(f77(x64431),x64432)),x64433))
% 184.29/184.10 [6444]~P104(x64441)+P1(f775(f775(f279(x64441),x64442),x64443))+~P1(f775(f775(f279(x64441),f775(f81(x64441),x64442)),x64443))
% 184.29/184.10 [6463]E(x64631,f115(x64632))+E(f775(f131(x64632),f775(f775(f128(x64632),x64633),x64631)),f775(f775(f153(x64632),x64631),x64633))+~P1(f775(f775(f233(a850),x64633),f775(f181(f851(x64632)),x64631)))
% 184.29/184.10 [6517]~P1(f775(x65171,x65173))+P1(f775(x65171,f343(x65171,x65172)))+~P1(f775(f775(f334(a850),x65173),f775(f294(a850,f2(a850)),x65172)))
% 184.29/184.10 [6540]P1(f775(x65401,x65402))+~P1(f775(f775(f233(a850),x65402),x65403))+P1(f775(f775(f334(a850),f342(x65401,x65403)),f775(f294(a850,f2(a850)),x65403)))
% 184.29/184.10 [6555]~P117(x65551)+~P1(f775(f775(f233(x65551),f2(x65551)),x65552))+P1(f775(f775(f233(x65551),f2(x65551)),f775(f775(f242(x65551),x65552),x65553)))
% 184.29/184.10 [6557]~P117(x65571)+~P1(f775(f775(f232(x65571),f2(x65571)),x65572))+P1(f775(f775(f232(x65571),f2(x65571)),f775(f775(f242(x65571),x65572),x65573)))
% 184.29/184.10 [6558]~P117(x65581)+~P1(f775(f775(f232(x65581),f80(x65581)),x65582))+P1(f775(f775(f232(x65581),f80(x65581)),f775(f775(f242(x65581),x65582),x65583)))
% 184.29/184.10 [6583]~P1(f775(x65831,x65833))+~P1(f775(f775(f233(a850),x65833),x65832))+P1(f775(f775(f334(a850),f339(x65831,x65832)),f775(f294(a850,f2(a850)),x65832)))
% 184.29/184.10 [6588]P1(f775(f63(x65881),x65882))+~P1(f775(f63(x65881),x65883))+~P1(f775(f775(f232(f857(x65881,a844)),x65882),x65883))
% 184.29/184.10 [6597]~P1(f775(f775(f279(a850),x65971),x65972))+~P1(f775(f775(f279(a850),x65971),x65973))+P1(f775(f775(f279(a850),x65971),f775(f775(f3(a850),x65972),x65973)))
% 184.29/184.10 [6598]P1(f775(x65981,x65982))+~P1(f775(x65981,f344(x65981,x65983)))+~P1(f775(f775(f334(a850),x65982),f775(f294(a850,f2(a850)),x65983)))
% 184.29/184.10 [6612]E(x66121,f2(a850))+P1(f775(x66122,f793(x66121,x66123,x66122)))+~P1(f775(x66122,f775(f775(f43(a850),x66123),x66121)))
% 184.29/184.10 [6621]~P119(x66212)+E(x66211,f2(x66212))+~E(f775(f775(f82(x66212),f775(f775(f83(x66212),x66213),x66213)),f775(f775(f83(x66212),x66211),x66211)),f2(x66212))
% 184.29/184.10 [6622]~P119(x66222)+E(x66221,f2(x66222))+~E(f775(f775(f82(x66222),f775(f775(f83(x66222),x66221),x66221)),f775(f775(f83(x66222),x66223),x66223)),f2(x66222))
% 184.29/184.10 [6669]E(x66691,f2(a850))+~P1(f775(x66692,f803(x66691,x66693,x66692)))+P1(f775(x66692,f775(f775(f43(a850),x66693),x66691)))
% 184.29/184.10 [6674]~P100(x66741)+~P18(x66741,x66743)+P18(x66741,f775(f775(f138(x66741,x66741,f7(x66741)),x66742),x66743))
% 184.29/184.10 [6719]P1(f775(x67191,f793(x67192,x67193,x67191)))+P1(f775(x67191,f2(a850)))+~P1(f775(x67191,f775(f775(f43(a850),x67193),x67192)))
% 184.29/184.10 [6725]~P88(x67251)+E(f775(f106(x67251),x67252),f775(f106(x67251),x67253))+~P33(x67251,f775(f106(x67251),f775(f775(f82(a1),x67252),f775(f81(a1),x67253))))
% 184.29/184.10 [6798]E(x67981,f2(a1))+E(x67982,f2(a1))+~P1(f775(f56(x67982,x67982),f775(f775(f241(a1,a1),x67983),x67981)))
% 184.29/184.10 [6799]E(x67991,f80(a1))+E(x67992,f2(a1))+~P1(f775(f56(x67992,x67992),f775(f775(f241(a1,a1),x67991),x67993)))
% 184.29/184.10 [6813]P1(f775(x68131,x68132))+P1(f775(f775(f233(a850),f344(x68131,x68133)),x68133))+~P1(f775(f775(f334(a850),x68132),f775(f294(a850,f2(a850)),x68133)))
% 184.29/184.10 [6838]~P1(f775(x68381,f803(x68383,x68382,x68381)))+~P1(f775(x68381,f2(a850)))+P1(f775(x68381,f775(f775(f43(a850),x68382),x68383)))
% 184.29/184.10 [6839]~P1(f775(x68391,f801(x68393,x68392,x68391)))+~P1(f775(x68391,f2(a850)))+P1(f775(x68391,f775(f775(f3(a850),x68392),x68393)))
% 184.29/184.10 [6840]~P1(f775(x68401,f808(x68403,x68402,x68401)))+~P1(f775(x68401,f2(a850)))+P1(f775(x68401,f775(f775(f3(a850),x68402),x68403)))
% 184.29/184.10 [6860]~P1(f775(x68601,x68603))+P1(f775(f775(f233(a850),f343(x68601,x68602)),x68602))+~P1(f775(f775(f334(a850),x68603),f775(f294(a850,f2(a850)),x68602)))
% 184.29/184.10 [6861]E(f775(f775(f3(a850),f775(f775(f3(a850),x68611),x68612)),f775(f775(f3(a850),x68613),x68612)),f775(f775(f3(a850),x68611),x68613))+~P1(f775(f775(f232(a850),x68612),x68611))+~P1(f775(f775(f232(a850),x68612),x68613))
% 184.29/184.10 [6895]~P77(x68951)+~P1(f775(f775(f233(x68951),f775(f81(x68951),x68953)),x68952))+P1(f775(f775(f233(x68951),f775(f81(x68951),x68952)),x68953))
% 184.29/184.10 [6896]~P110(x68961)+~P1(f775(f775(f233(x68961),f775(f77(x68961),x68962)),x68963))+P1(f775(f775(f233(x68961),f775(f81(x68961),x68962)),x68963))
% 184.29/184.10 [6898]~P77(x68981)+~P1(f775(f775(f232(x68981),f775(f81(x68981),x68983)),x68982))+P1(f775(f775(f232(x68981),f775(f81(x68981),x68982)),x68983))
% 184.29/184.10 [6900]~P79(x69001)+~P1(f775(f775(f232(x69001),f775(f77(x69001),x69002)),x69003))+P1(f775(f775(f232(x69001),f775(f81(x69001),x69002)),x69003))
% 184.29/184.10 [6903]~P1(f775(f775(f279(a1),x69031),x69033))+P1(f775(f775(f279(a1),x69031),x69032))+~P1(f775(f775(f279(a1),x69031),f775(f775(f3(a1),x69032),x69033)))
% 184.29/184.10 [6937]~P1(f775(x69373,f801(x69372,x69371,x69373)))+P1(f775(f775(f233(a850),x69371),x69372))+P1(f775(x69373,f775(f775(f3(a850),x69371),x69372)))
% 184.29/184.10 [6938]~P1(f775(x69383,f808(x69382,x69381,x69383)))+P1(f775(f775(f233(a850),x69381),x69382))+P1(f775(x69383,f775(f775(f3(a850),x69381),x69382)))
% 184.29/184.10 [6984]~E(f684(x69843,x69842,x69841),f679(x69843,x69842,x69841))+E(f775(f775(f104(f857(x69841,a844)),x69842),f44(f857(x69841,a844),x69843)),f180(f857(x69841,a844)))+P1(f775(f775(f334(f857(x69841,a844)),x69842),x69843))
% 184.29/184.10 [6993]~P1(f775(f63(x69931),x69933))+P1(f775(f63(x69931),f45(f857(x69931,a844),x69932)))+~P1(f775(f775(f334(f857(x69931,a844)),x69933),x69932))
% 184.29/184.10 [7055]~P100(x70551)+E(f775(f775(f103(f857(x70551,a844)),f775(f294(x70551,x70552),x70553)),f775(f775(f302(x70551),x70553),f180(f857(x70551,a844)))),f295(x70551,x70552,x70553))+~P1(f775(f775(f232(x70551),x70552),x70553))
% 184.29/184.10 [7058]E(x70581,f2(a850))+P1(f775(f775(f233(a850),f805(x70581,x70583,x70582)),x70581))+P1(f775(x70582,f775(f775(f43(a850),x70583),x70581)))
% 184.29/184.10 [7093]E(x70931,x70932)+~P1(f775(f775(f232(f857(x70933,a844)),x70931),x70932))+P1(f775(f775(f233(f857(x70933,a844)),x70931),x70932))
% 184.29/184.10 [7105]E(x71051,x71052)+~E(f775(f181(f851(x71053)),x71051),f775(f181(f851(x71053)),x71052))+P1(f775(f775(f233(a850),f730(x71053,x71051,x71052)),f775(f181(f851(x71053)),x71052)))
% 184.29/184.10 [7150]P12(x71501,x71502,x71503)+~E(f775(f261(x71501,x71501),x71503),x71502)+~E(f775(f775(f281(x71501,x71501,x71501),f775(f278(x71501,x71501),x71503)),x71503),x71503)
% 184.29/184.10 [7232]E(x72321,f2(a1))+~P1(f775(f775(f279(a1),x72322),x72323))+P1(f775(f775(f279(a1),f775(f775(f83(a1),x72321),x72322)),f775(f775(f83(a1),x72321),x72323)))
% 184.29/184.10 [7235]~P1(f775(x72351,f2(a850)))+P1(f775(f775(f233(a850),f805(x72353,x72352,x72351)),x72353))+P1(f775(x72351,f775(f775(f43(a850),x72352),x72353)))
% 184.29/184.10 [7248]~P100(x72481)+E(f775(f775(f103(f857(x72481,a844)),f298(x72481,x72482,x72483)),f775(f775(f302(x72481),x72483),f180(f857(x72481,a844)))),f297(x72481,x72482,x72483))+~P1(f775(f775(f233(x72481),x72482),x72483))
% 184.29/184.10 [7353]~P1(f775(f63(x73531),x73533))+P1(f775(f775(f233(a850),f775(f42(x73531),x73532)),f775(f42(x73531),x73533)))+~P1(f775(f775(f233(f857(x73531,a844)),x73532),x73533))
% 184.29/184.10 [7354]~P1(f775(f63(x73541),x73543))+P1(f775(f775(f232(a850),f775(f42(x73541),x73542)),f775(f42(x73541),x73543)))+~P1(f775(f775(f232(f857(x73541,a844)),x73542),x73543))
% 184.29/184.10 [7395]~P1(f775(x73953,x73952))+P1(f775(f775(f187(x73951),x73952),f415(x73952,x73951,x73953)))+~P1(f775(f775(f187(f35(x73953,x73951)),x73952),x73952))
% 184.29/184.10 [7493]E(x74931,x74932)+~P1(f775(f775(f232(f857(x74933,a844)),x74932),x74931))+~P1(f775(f775(f232(f857(x74933,a844)),x74931),x74932))
% 184.29/184.10 [7496]~P100(x74961)+P18(x74961,x74962)+~P18(x74961,f775(f775(f138(x74961,x74961,f7(x74961)),x74963),x74962))
% 184.29/184.10 [7565]~P1(f775(f775(f233(a850),x75653),x75652))+~P1(f775(f775(f233(a850),x75653),x75651))+P1(f775(f775(f233(a850),f775(f775(f3(a850),x75651),x75652)),f775(f775(f3(a850),x75651),x75653)))
% 184.29/184.10 [7566]~P1(f775(f775(f233(a850),x75661),x75663))+~P1(f775(f775(f232(a850),x75662),x75661))+P1(f775(f775(f233(a850),f775(f775(f3(a850),x75661),x75662)),f775(f775(f3(a850),x75663),x75662)))
% 184.29/184.10 [7583]~P1(f775(f775(f233(a1),x75832),f2(a1)))+~P1(f775(f775(f232(a1),x75833),x75831))+P1(f775(f775(f232(a1),f775(f775(f43(a1),x75831),x75832)),f775(f775(f43(a1),x75833),x75832)))
% 184.29/184.10 [7603]~P1(f775(f775(f233(a850),f2(a850)),x76032))+~P1(f775(f775(f233(a850),x76031),x76033))+P1(f775(f775(f233(a850),f775(f775(f83(a850),x76031),x76032)),f775(f775(f83(a850),x76033),x76032)))
% 184.29/184.10 [7604]~P1(f775(f775(f233(a850),f2(a850)),x76041))+~P1(f775(f775(f233(a850),x76042),x76043))+P1(f775(f775(f233(a850),f775(f775(f83(a850),x76041),x76042)),f775(f775(f83(a850),x76041),x76043)))
% 184.29/184.10 [7605]~P1(f775(f775(f233(a1),f2(a1)),x76051))+~P1(f775(f775(f233(a1),x76052),x76053))+P1(f775(f775(f233(a1),f775(f775(f83(a1),x76051),x76052)),f775(f775(f83(a1),x76051),x76053)))
% 184.29/184.10 [7607]~P1(f775(f775(f233(a850),f2(a850)),x76073))+~P1(f775(f775(f232(a850),x76073),x76072))+P1(f775(f775(f232(a850),f775(f775(f43(a850),x76071),x76072)),f775(f775(f43(a850),x76071),x76073)))
% 184.29/184.10 [7608]~P1(f775(f775(f233(a1),f2(a1)),x76082))+~P1(f775(f775(f232(a1),x76081),x76083))+P1(f775(f775(f232(a1),f775(f775(f43(a1),x76081),x76082)),f775(f775(f43(a1),x76083),x76082)))
% 184.29/184.10 [7657]E(x76571,f2(a850))+E(f775(f775(f82(a850),f775(f775(f83(a850),x76571),f803(x76571,x76572,x76573))),f805(x76571,x76572,x76573)),x76572)+P1(f775(x76573,f775(f775(f43(a850),x76572),x76571)))
% 184.29/184.10 [7715]E(f775(f775(f82(a850),f775(f775(f83(a850),x77151),f803(x77151,x77152,x77153))),f805(x77151,x77152,x77153)),x77152)+~P1(f775(x77153,f2(a850)))+P1(f775(x77153,f775(f775(f43(a850),x77152),x77151)))
% 184.29/184.10 [7731]~P1(f775(f63(x77311),x77313))+P1(f775(f775(f334(x77311),f460(x77312,x77313,x77311)),x77313))+P1(f775(f775(f233(a850),f2(a850)),f775(f775(f11(x77311,a850),x77312),x77313)))
% 184.29/184.10 [7732]~P1(f775(f63(x77321),x77323))+P1(f775(f775(f334(x77321),f572(x77322,x77323,x77321)),x77323))+P1(f775(f775(f233(a850),f2(a850)),f775(f775(f11(x77321,a850),x77322),x77323)))
% 184.29/184.10 [7837]E(x78371,f2(a850))+P1(f775(f775(f279(a850),x78372),x78373))+~P1(f775(f775(f279(a850),f775(f775(f83(a850),x78371),x78372)),f775(f775(f83(a850),x78371),x78373)))
% 184.29/184.10 [7839]E(x78391,f2(a1))+P1(f775(f775(f279(a1),x78392),x78393))+~P1(f775(f775(f279(a1),f775(f775(f83(a1),x78391),x78392)),f775(f775(f83(a1),x78391),x78393)))
% 184.29/184.10 [8025]E(x80251,f180(f857(x80252,a844)))+E(x80251,f775(f775(f302(x80252),x80253),f180(f857(x80252,a844))))+~P1(f775(f775(f232(f857(x80252,a844)),x80251),f775(f775(f302(x80252),x80253),f180(f857(x80252,a844)))))
% 184.29/184.10 [8062]~P1(f775(f775(f233(a850),f2(a850)),x80623))+P1(f775(f775(f233(a850),x80621),x80622))+~P1(f775(f775(f233(a850),f775(f775(f242(a850),x80623),x80621)),f775(f775(f242(a850),x80623),x80622)))
% 184.29/184.10 [8064]~P1(f775(f775(f233(a850),f2(a850)),x80643))+P1(f775(f775(f232(a850),x80641),x80642))+~P1(f775(f775(f232(a850),f775(f775(f83(a850),x80643),x80641)),f775(f775(f83(a850),x80643),x80642)))
% 184.29/184.10 [8065]~P1(f775(f775(f233(a850),f80(a850)),x80653))+P1(f775(f775(f232(a850),x80651),x80652))+~P1(f775(f775(f279(a850),f775(f775(f242(a850),x80653),x80651)),f775(f775(f242(a850),x80653),x80652)))
% 184.29/184.10 [8066]~P1(f775(f775(f233(a850),f2(a850)),x80663))+P1(f775(f775(f232(a850),x80661),x80662))+~P1(f775(f775(f232(a850),f775(f775(f83(a850),x80661),x80663)),f775(f775(f83(a850),x80662),x80663)))
% 184.29/184.10 [8068]~P1(f775(f775(f233(a850),f2(a850)),x80683))+P1(f775(f775(f279(a850),x80681),x80682))+~P1(f775(f775(f279(a850),f775(f775(f83(a850),x80683),x80681)),f775(f775(f83(a850),x80683),x80682)))
% 184.29/184.10 [8096]~P1(f775(x80961,x80963))+P1(f775(f775(f187(f35(x80961,x80962)),f415(x80963,x80962,x80961)),x80963))+~P1(f775(f775(f187(f35(x80961,x80962)),x80963),x80963))
% 184.29/184.10 [8104]~E(f775(f775(f104(f857(x81041,a844)),f679(x81043,x81042,x81041)),f684(x81043,x81042,x81041)),f180(f857(x81041,a844)))+E(f775(f775(f104(f857(x81041,a844)),x81042),f44(f857(x81041,a844),x81043)),f180(f857(x81041,a844)))+P1(f775(f775(f334(f857(x81041,a844)),x81042),x81043))
% 184.29/184.10 [8119]E(x81191,f115(x81192))+~E(f775(f132(f851(x81192),f851(x81192),f125(x81192),f115(x81192)),x81193),f115(x81192))+~P1(f775(f775(f334(f851(x81192)),x81191),f775(f158(f851(x81192)),x81193)))
% 184.29/184.10 [8176]E(x81761,f180(f857(f857(x81762,a844),a844)))+P1(f775(f775(f334(f857(x81762,a844)),f686(x81763,x81761,x81762)),x81761))+P1(f775(f775(f232(f857(x81762,a844)),f45(f857(x81762,a844),x81761)),x81763))
% 184.29/184.10 [8182]~P66(x81821)+~P70(x81821)+E(f775(f775(f8(a1,x81821),f775(f775(f10(a850,x81821,a1),x81822),a107)),f775(f303(a850,a1,f102(a1)),x81823)),f775(f775(f8(a850,x81821),x81822),x81823))
% 184.29/184.10 [8183]~P66(x81831)+~P70(x81831)+E(f775(f775(f11(a1,x81831),f775(f775(f10(a850,x81831,a1),x81832),a107)),f775(f303(a850,a1,f102(a1)),x81833)),f775(f775(f11(a850,x81831),x81832),x81833))
% 184.29/184.10 [8220]~P1(f775(f63(x82201),x82203))+~P1(f775(f775(f233(a850),f2(a850)),f775(x82202,f460(x82202,x82203,x82201))))+P1(f775(f775(f233(a850),f2(a850)),f775(f775(f11(x82201,a850),x82202),x82203)))
% 184.29/184.10 [8221]~P1(f775(f63(x82211),x82213))+~P1(f775(f775(f233(a850),f2(a850)),f775(x82212,f572(x82212,x82213,x82211))))+P1(f775(f775(f233(a850),f2(a850)),f775(f775(f11(x82211,a850),x82212),x82213)))
% 184.29/184.10 [8256]~P61(x82562)+E(x82561,f80(x82562))+E(f775(f775(f283(x82562),f775(f775(f3(x82562),f775(f775(f242(x82562),x82561),x82563)),f80(x82562))),f775(f775(f3(x82562),x82561),f80(x82562))),f775(f775(f8(a850,x82562),f775(f242(x82562),x82561)),f775(f294(a850,f2(a850)),x82563)))
% 184.29/184.10 [8315]E(x83151,f2(a850))+~P1(f775(x83153,f775(f775(f43(a850),x83152),x83151)))+P1(f775(f775(f233(a850),x83152),f775(f775(f83(a850),x83151),f775(a114,f793(x83151,x83152,x83153)))))
% 184.29/184.10 [8336]P1(f775(x83361,f2(a850)))+~P1(f775(x83361,f775(f775(f43(a850),x83362),x83363)))+P1(f775(f775(f233(a850),x83362),f775(f775(f83(a850),x83363),f775(a114,f793(x83363,x83362,x83361)))))
% 184.29/184.10 [8375]E(x83751,f2(a850))+~P1(f775(x83753,f775(f775(f43(a850),x83752),x83751)))+P1(f775(f775(f232(a850),f775(f775(f83(a850),x83751),f793(x83751,x83752,x83753))),x83752))
% 184.29/184.10 [8412]P1(f775(x84121,f2(a850)))+~P1(f775(x84121,f775(f775(f43(a850),x84123),x84122)))+P1(f775(f775(f232(a850),f775(f775(f83(a850),x84122),f793(x84122,x84123,x84121))),x84123))
% 184.29/184.10 [8415]~P100(x84151)+E(f775(f775(f138(x84151,x84151,f7(x84151)),x84152),x84153),f139(x84151,x84151,f7(x84151),x84152,x84153))+P1(f775(f775(f334(x84151),x84152),f775(f158(x84151),x84153)))
% 184.29/184.10 [8455]~E(f775(x84553,f609(x84552,x84553,x84551)),f775(x84553,f611(x84552,x84553,x84551)))+~P58(x84551,f775(x84553,f610(x84552,x84553,x84551)))+P58(x84551,f775(f775(f46(x84552,f857(x84551,f857(x84551,a844))),f239(f857(x84552,a844))),x84553))
% 184.29/184.10 [8463]E(x84631,f180(f857(f857(x84632,a844),a844)))+~P1(f775(f775(f232(f857(x84632,a844)),f686(x84633,x84631,x84632)),x84633))+P1(f775(f775(f232(f857(x84632,a844)),f45(f857(x84632,a844),x84631)),x84633))
% 184.29/184.10 [8522]~P63(x85221)+~P1(f775(f775(f233(x85221),x85222),x85223))+P1(f775(f775(f233(x85221),x85222),f775(f775(f283(x85221),f775(f775(f82(x85221),x85222),x85223)),f775(f775(f82(x85221),f80(x85221)),f80(x85221)))))
% 184.29/184.10 [8565]~P1(f775(f775(x85651,f825(x85651,x85653,x85652)),f826(x85651,x85653,x85652)))+P1(f775(f775(x85651,x85652),x85653))+~P1(f775(f321(f856(a1,a1),a59),f775(f775(f241(a1,a1),x85652),x85653)))
% 184.29/184.10 [8566]~P1(f775(f775(x85661,f827(x85661,x85663,x85662)),f828(x85661,x85663,x85662)))+P1(f775(f775(x85661,x85662),x85663))+~P1(f775(f321(f856(a1,a1),a62),f775(f775(f241(a1,a1),x85662),x85663)))
% 184.29/184.10 [8567]~P1(f775(f775(x85671,f829(x85671,x85673,x85672)),f832(x85671,x85673,x85672)))+P1(f775(f775(x85671,x85672),x85673))+~P1(f775(f321(f856(a1,a1),a216),f775(f775(f241(a1,a1),x85672),x85673)))
% 184.29/184.10 [8568]~P1(f775(f775(x85681,f833(x85681,x85683,x85682)),f835(x85681,x85683,x85682)))+P1(f775(f775(x85681,x85682),x85683))+~P1(f775(f321(f856(a850,a850),a214),f775(f775(f241(a850,a850),x85682),x85683)))
% 184.29/184.10 [8569]~P1(f775(f775(x85691,f394(x85691,x85693,x85692)),f395(x85691,x85693,x85692)))+P1(f775(f775(x85691,x85692),x85693))+~P1(f775(f321(f856(a1,a1),a168),f775(f775(f241(a1,a1),x85692),x85693)))
% 184.29/184.10 [8803]P1(f775(f775(x88031,x88032),x88033))+P1(f775(f321(f856(a850,a850),a214),f775(f775(f241(a850,a850),f833(x88031,x88033,x88032)),f835(x88031,x88033,x88032))))+~P1(f775(f321(f856(a850,a850),a214),f775(f775(f241(a850,a850),x88032),x88033)))
% 184.29/184.10 [8804]P1(f775(f775(x88041,x88042),x88043))+P1(f775(f321(f856(a1,a1),a59),f775(f775(f241(a1,a1),f825(x88041,x88043,x88042)),f826(x88041,x88043,x88042))))+~P1(f775(f321(f856(a1,a1),a59),f775(f775(f241(a1,a1),x88042),x88043)))
% 184.29/184.10 [8805]P1(f775(f775(x88051,x88052),x88053))+P1(f775(f321(f856(a1,a1),a62),f775(f775(f241(a1,a1),f827(x88051,x88053,x88052)),f828(x88051,x88053,x88052))))+~P1(f775(f321(f856(a1,a1),a62),f775(f775(f241(a1,a1),x88052),x88053)))
% 184.29/184.10 [8806]P1(f775(f775(x88061,x88062),x88063))+P1(f775(f321(f856(a1,a1),a216),f775(f775(f241(a1,a1),f829(x88061,x88063,x88062)),f832(x88061,x88063,x88062))))+~P1(f775(f321(f856(a1,a1),a216),f775(f775(f241(a1,a1),x88062),x88063)))
% 184.29/184.10 [8807]P1(f775(f775(x88071,x88072),x88073))+P1(f775(f321(f856(a1,a1),a168),f775(f775(f241(a1,a1),f394(x88071,x88073,x88072)),f395(x88071,x88073,x88072))))+~P1(f775(f321(f856(a1,a1),a168),f775(f775(f241(a1,a1),x88072),x88073)))
% 184.29/184.10 [9119]~P1(f775(f63(x91191),x91193))+P1(f775(f775(f334(f856(f857(x91191,a844),f857(x91191,a844))),f775(f775(f241(f857(x91191,a844),f857(x91191,a844)),x91192),x91193)),f299(x91191)))+~P1(f775(f775(f233(f857(x91191,a844)),x91192),x91193))
% 184.29/184.10 [9172]~P58(x91721,f775(x91723,f610(x91722,x91723,x91721)))+P58(x91721,f775(f775(f46(x91722,f857(x91721,f857(x91721,a844))),f239(f857(x91722,a844))),x91723))+~E(f775(f775(f104(f857(x91721,a844)),f246(x91721,x91721,f775(x91723,f609(x91722,x91723,x91721)))),f247(x91721,x91721,f775(x91723,f611(x91722,x91723,x91721)))),f180(f857(x91721,a844)))
% 184.29/184.10 [9365]P47(x93651,x93652,x93653)+P1(f775(f775(f334(f856(x93651,x93651)),f507(x93653,x93652,x93651)),x93653))+~P1(f775(f775(f334(f856(x93651,x93651)),f775(f775(f241(x93651,x93651),f506(x93653,x93652,x93651)),f506(x93653,x93652,x93651))),x93653))
% 184.29/184.10 [9930]P47(x99301,x99302,x99303)+~P1(f775(f775(f251(x99301,x99301,a844),f775(f775(f9(x99301,f857(x99301,a844),f857(x99301,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x99301,a844),f857(x99301,a844)),x99301),f10(a844,a844,x99301)),f775(f775(f10(a844,f857(a844,a844),x99301),a331),f775(f775(f9(x99301,f857(x99301,a844),a844),f334(x99301)),x99302)))),f775(f775(f9(x99301,f857(x99301,a844),a844),f334(x99301)),x99302))),f507(x99303,x99302,x99301)))+~P1(f775(f775(f334(f856(x99301,x99301)),f775(f775(f241(x99301,x99301),f506(x99303,x99302,x99301)),f506(x99303,x99302,x99301))),x99303))
% 184.29/184.10 [5524]~P7(x55242)+E(x55241,f2(x55242))+E(f775(f775(f43(x55242),f775(f775(f83(x55242),x55243),x55241)),x55241),x55243)
% 184.29/184.10 [5525]~P7(x55252)+E(x55251,f2(x55252))+E(f775(f775(f43(x55252),f775(f775(f83(x55252),x55251),x55253)),x55251),x55253)
% 184.29/184.10 [6168]~P7(x61681)+E(f775(f775(f83(x61681),f775(f775(f43(x61681),x61682),x61683)),x61683),x61682)+~P1(f775(f775(f279(x61681),x61683),x61682))
% 184.29/184.10 [6334]~P66(x63341)+~E(f775(x63342,f2(a850)),f2(x63341))+E(f775(f775(f8(a850,x63341),x63342),f775(f294(a850,f775(a114,f2(a850))),x63343)),f775(f775(f8(a850,x63341),x63342),f775(f294(a850,f2(a850)),x63343)))
% 184.29/184.10 [6477]~P7(x64772)+E(x64771,f2(x64772))+E(f775(f775(f43(x64772),f775(f775(f82(x64772),x64773),x64771)),x64771),f775(f775(f82(x64772),f775(f775(f43(x64772),x64773),x64771)),f80(x64772)))
% 184.29/184.10 [6478]~P7(x64782)+E(x64781,f2(x64782))+E(f775(f775(f43(x64782),f775(f775(f82(x64782),x64781),x64783)),x64781),f775(f775(f82(x64782),f775(f775(f43(x64782),x64783),x64781)),f80(x64782)))
% 184.29/184.10 [6709]~P1(f775(x67093,f2(a1)))+P1(f775(f775(f232(a850),x67091),x67092))+P1(f775(x67093,f775(f102(a1),f775(f775(f3(a850),x67092),x67091))))
% 184.29/184.10 [6820]P1(f775(f775(f232(a850),x68202),x68201))+P1(f775(f775(f233(a850),x68201),x68202))+P1(f775(x68203,f775(f102(a1),f775(f775(f3(a850),x68201),x68202))))
% 184.29/184.10 [6893]E(f775(f775(f82(a850),f775(f106(a850),x68931)),f775(f775(f82(a850),f775(f106(a850),x68932)),x68933)),f775(f775(f82(a850),f775(f106(a850),x68931)),x68933))+P1(f775(a186,f775(f106(a1),x68931)))+~P1(f775(a186,f775(f106(a1),x68932)))
% 184.29/184.10 [6972]~E(x69722,f775(f775(f43(a850),x69723),x69721))+~P1(f775(f775(f233(a850),f2(a850)),x69721))+P1(f775(f775(f232(a850),f775(f775(f83(a850),x69721),x69722)),x69723))
% 184.29/184.10 [7091]~P1(f775(f63(x70911),x70913))+~P1(f775(f63(x70911),x70912))+P1(f775(f63(x70911),f775(f775(f103(f857(x70911,a844)),x70912),x70913)))
% 184.29/184.10 [7406]~P100(x74061)+~P1(f775(f63(x74061),x74062))+E(f130(x74061,f775(f775(f3(f857(x74061,a844)),x74062),f775(f775(f302(x74061),x74063),f180(f857(x74061,a844))))),f151(x74061,x74063,f130(x74061,x74062)))
% 184.29/184.10 [7472]P1(f775(x74721,f2(a1)))+~P1(f775(f775(f233(a850),x74722),x74723))+~P1(f775(x74721,f775(f102(a1),f775(f775(f3(a850),x74722),x74723))))
% 184.29/184.10 [7490]~P1(f775(f63(x74901),x74902))+E(f775(f42(x74901),f775(f775(f3(f857(x74901,a844)),x74902),f775(f775(f302(x74901),x74903),f180(f857(x74901,a844))))),f775(f42(x74901),x74902))+P1(f775(f775(f334(x74901),x74903),x74902))
% 184.29/184.10 [7624]~P117(x76241)+~P1(f775(f775(f233(x76241),f80(x76241)),x76242))+P1(f775(f775(f233(x76241),f80(x76241)),f775(f775(f83(x76241),x76242),f775(f775(f242(x76241),x76242),x76243))))
% 184.29/184.10 [7668]~P1(f775(f63(x76681),x76683))+E(f775(f775(f3(a850),f775(f42(x76681),x76682)),f775(f42(x76681),x76683)),f775(f42(x76681),f775(f775(f3(f857(x76681,a844)),x76682),x76683)))+~P1(f775(f775(f232(f857(x76681,a844)),x76683),x76682))
% 184.29/184.10 [7723]~P1(f775(f775(f232(a850),x77232),x77233))+~P1(f775(f775(f232(a850),x77231),f775(f775(f3(a850),x77233),x77232)))+P1(f775(f775(f232(a850),f775(f775(f82(a850),x77231),x77232)),x77233))
% 184.29/184.10 [7780]P1(f775(f63(x77801),x77802))+~P1(f775(f63(x77801),x77803))+~P1(f775(f63(x77801),f775(f775(f3(f857(x77801,a844)),x77802),x77803)))
% 184.29/184.10 [7787]~P1(f775(f63(x77871),x77872))+E(f775(f42(x77871),f775(f775(f3(f857(x77871,a844)),x77872),f775(f775(f302(x77871),x77873),f180(f857(x77871,a844))))),f775(f775(f3(a850),f775(f42(x77871),x77872)),f80(a850)))+~P1(f775(f775(f334(x77871),x77873),x77872))
% 184.29/184.10 [7862]P58(x78621,x78622)+~P58(x78621,x78623)+~P1(f775(f775(f232(f857(x78621,f857(x78621,a844))),x78622),x78623))
% 184.29/184.10 [7900]~P1(f775(f775(f232(a850),x79003),x79002))+P1(f775(f775(f232(a850),x79001),f775(f775(f3(a850),x79002),x79003)))+~P1(f775(f775(f232(a850),f775(f775(f82(a850),x79001),x79003)),x79002))
% 184.29/184.10 [7920]P36(x79201,x79202)+~P36(x79201,x79203)+~P1(f775(f775(f232(f857(f856(x79201,x79201),a844)),x79202),x79203))
% 184.29/184.10 [7921]P56(x79211,x79212)+~P56(x79211,x79213)+~P1(f775(f775(f232(f857(f856(x79211,x79211),a844)),x79212),x79213))
% 184.29/184.10 [8154]~P117(x81541)+~P1(f775(f775(f233(x81541),f80(x81541)),x81542))+P1(f775(f775(f233(x81541),f775(f775(f242(x81541),x81542),x81543)),f775(f775(f83(x81541),x81542),f775(f775(f242(x81541),x81542),x81543))))
% 184.29/184.10 [8240]~P1(f775(x82401,f2(a1)))+~P1(f775(x82401,f775(f775(f3(a1),f775(f102(a1),x82402)),f775(f102(a1),x82403))))+P1(f775(x82401,f775(f102(a1),f775(f775(f3(a850),x82402),x82403))))
% 184.29/184.10 [8253]~P1(f775(f775(f232(a850),x82533),x82532))+P1(f775(x82531,f775(f775(f3(a1),f775(f102(a1),x82532)),f775(f102(a1),x82533))))+~P1(f775(x82531,f775(f102(a1),f775(f775(f3(a850),x82532),x82533))))
% 184.29/184.10 [8270]P1(f775(f775(f233(a850),x82701),x82702))+~P1(f775(x82703,f775(f775(f3(a1),f775(f102(a1),x82701)),f775(f102(a1),x82702))))+P1(f775(x82703,f775(f102(a1),f775(f775(f3(a850),x82701),x82702))))
% 184.29/184.10 [8327]~P119(x83272)+E(x83271,f2(x83272))+P1(f775(f775(f233(x83272),f2(x83272)),f775(f775(f82(x83272),f775(f775(f83(x83272),x83273),x83273)),f775(f775(f83(x83272),x83271),x83271))))
% 184.29/184.10 [8328]~P119(x83282)+E(x83281,f2(x83282))+P1(f775(f775(f233(x83282),f2(x83282)),f775(f775(f82(x83282),f775(f775(f83(x83282),x83281),x83281)),f775(f775(f83(x83282),x83283),x83283))))
% 184.29/184.10 [8434]~P1(f775(f775(f233(a850),f2(a850)),x84341))+~P1(f775(f775(f233(a1),x84342),x84343))+P1(f775(f775(f233(a1),f775(f775(f83(a1),f775(f102(a1),x84341)),x84342)),f775(f775(f83(a1),f775(f102(a1),x84341)),x84343)))
% 184.29/184.10 [8494]E(f775(f775(f104(f857(x84941,a844)),x84942),f44(f857(x84941,a844),x84943)),f180(f857(x84941,a844)))+P1(f775(f775(f334(f857(x84941,a844)),x84942),x84943))+P1(f775(f775(f334(f857(x84941,a844)),f679(x84943,x84942,x84941)),f775(f775(f302(f857(x84941,a844)),x84942),x84943)))
% 184.29/184.10 [8495]E(f775(f775(f104(f857(x84951,a844)),x84952),f44(f857(x84951,a844),x84953)),f180(f857(x84951,a844)))+P1(f775(f775(f334(f857(x84951,a844)),x84952),x84953))+P1(f775(f775(f334(f857(x84951,a844)),f684(x84953,x84952,x84951)),f775(f775(f302(f857(x84951,a844)),x84952),x84953)))
% 184.29/184.10 [8521]E(x85211,x85212)+~E(f775(f181(f851(x85213)),x85211),f775(f181(f851(x85213)),x85212))+P1(f775(f775(f334(f856(x85213,x85213)),f713(x85213,x85211,x85212)),f775(f158(f856(x85213,x85213)),f775(f775(f167(x85213,x85213),x85212),x85211))))
% 184.29/184.10 [8731]E(f300(x87311,x87312),f300(x87311,x87313))+~P1(f775(f775(f232(f857(f856(x87311,x87311),a844)),x87313),f300(x87311,x87312)))+~P1(f775(f775(f232(f857(f856(x87311,x87311),a844)),x87312),x87313))
% 184.29/184.10 [8784]~P47(x87841,f239(f857(x87841,a844)),x87843)+P1(f775(f775(f232(f857(f856(f851(x87841),f851(x87841)),a844)),f146(x87841,x87842)),f147(x87841,x87843)))+~P1(f775(f775(f232(f857(f856(x87841,x87841),a844)),x87842),x87843))
% 184.29/184.10 [8963]P36(x89631,x89632)+~P1(f775(f775(f334(x89631),x89633),f682(x89632,x89631)))+P1(f775(f775(f334(f856(x89631,x89631)),f775(f775(f241(x89631,x89631),f697(x89632,x89631,x89633)),x89633)),x89632))
% 184.29/184.10 [9002]~P1(f775(f63(x90021),x90022))+P1(f775(f63(f857(x90021,a844)),f775(f775(f61(x90021),x90022),x90023)))+~P1(f775(f775(f232(f857(f856(x90021,x90021),a844)),x90023),f775(f775(f248(x90021,x90021),x90022),f775(f18(f857(x90021,a844),x90021),x90022))))
% 184.29/184.10 [9033]P47(x90331,x90332,x90333)+P1(f775(f775(f334(x90331),f550(x90333,x90332,x90331)),x90332))+~P1(f775(f775(f232(f857(f856(x90331,x90331),a844)),x90333),f775(f775(f248(x90331,x90331),x90332),f775(f18(f857(x90331,a844),x90331),x90332))))
% 184.29/184.10 [9034]P47(x90341,x90342,x90343)+P1(f775(f775(f334(x90341),f555(x90342,x90343,x90341)),x90342))+~P1(f775(f775(f232(f857(f856(x90341,x90341),a844)),x90343),f775(f775(f248(x90341,x90341),x90342),f775(f18(f857(x90341,a844),x90341),x90342))))
% 184.29/184.10 [9067]~P63(x90671)+~P1(f775(f775(f233(x90671),x90672),x90673))+P1(f775(f775(f233(x90671),f775(f775(f283(x90671),f775(f775(f82(x90671),x90672),x90673)),f775(f775(f82(x90671),f80(x90671)),f80(x90671)))),x90673))
% 184.29/184.10 [9094]~P62(x90941)+P1(f775(f775(f232(x90941),x90942),x90943))+~P1(f775(f775(f232(x90941),f775(f775(f83(x90941),f802(x90943,x90942,x90941)),x90942)),x90943))
% 184.29/184.10 [9204]E(f775(f181(f851(f851(x92041))),f775(f126(f851(x92041),f775(f775(f10(a850,a844,f851(x92041)),f775(f233(a850),x92042)),f181(f851(x92041)))),f164(x92041,x92043))),f775(f181(f851(x92041)),f775(f775(f153(f851(x92041)),x92043),x92042)))+~P18(a850,f775(f142(a850),f775(f775(f143(f851(x92041),a850),f181(f851(x92041))),x92043)))+~P1(f775(f775(f233(a850),x92042),f775(f181(f851(f851(x92041))),x92043)))
% 184.29/184.10 [9315]~P36(x93151,x93152)+P30(x93151,f775(f775(f241(f857(f856(x93151,x93151),a844),f857(f856(x93151,x93151),a844)),x93152),x93153))+~P1(f775(f775(f232(f857(f856(x93151,x93151),a844)),f775(f775(f281(x93151,x93151,x93151),x93152),x93153)),x93152))
% 184.29/184.10 [9322]E(f775(f775(f143(f851(x93221),x93221),f775(f775(f9(f851(x93221),a850,x93221),f153(x93221)),x93222)),f775(f126(f851(x93221),f775(f775(f10(a850,a844,f851(x93221)),f775(f233(a850),x93222)),f181(f851(x93221)))),f164(x93221,x93223))),f775(f775(f153(f851(x93221)),x93223),x93222))+~P18(a850,f775(f142(a850),f775(f775(f143(f851(x93221),a850),f181(f851(x93221))),x93223)))+~P1(f775(f775(f233(a850),x93222),f775(f181(f851(f851(x93221))),x93223)))
% 184.29/184.10 [9449]P47(x94491,x94492,x94493)+~P1(f775(f775(f334(f856(x94491,x94491)),f775(f775(f241(x94491,x94491),f550(x94493,x94492,x94491)),f550(x94493,x94492,x94491))),x94493))+~P1(f775(f775(f232(f857(f856(x94491,x94491),a844)),x94493),f775(f775(f248(x94491,x94491),x94492),f775(f18(f857(x94491,a844),x94491),x94492))))
% 184.29/184.10 [9450]P47(x94501,x94502,x94503)+~P1(f775(f775(f334(f856(x94501,x94501)),f775(f775(f241(x94501,x94501),f555(x94502,x94503,x94501)),f555(x94502,x94503,x94501))),x94503))+~P1(f775(f775(f232(f857(f856(x94501,x94501),a844)),x94503),f775(f775(f248(x94501,x94501),x94502),f775(f18(f857(x94501,a844),x94501),x94502))))
% 184.29/184.10 [9609]~P133(x96091)+~P116(x96091)+E(f775(f775(f283(x96091),f775(f105(x96091),f775(f775(f75(f856(a1,a1),a1,x96092,f240(a1,a1)),f207(x96092)),x96093))),f775(f105(x96091),f775(f775(f75(f856(a1,a1),a1,x96092,f250(a1,a1)),f207(x96092)),x96093))),f217(x96092,x96091,x96093))
% 184.29/184.10 [9805]~E(x98053,f2(a850))+~E(f775(f181(f851(x98051)),f775(f775(f153(f851(x98051)),x98052),f766(x98053,x98051,x98052))),x98053)+E(f775(f775(f143(a850,f851(x98051)),f775(f775(f9(a850,f851(a850),f851(x98051)),f775(f775(f10(f857(a850,x98051),f857(f851(a850),f851(x98051)),a850),f143(a850,x98051)),f775(f9(a850,a850,x98051),f775(f775(f10(f851(x98051),f857(a850,x98051),a850),f153(x98051)),f775(f153(f851(x98051)),x98052))))),f130(a850,f775(f294(a850,f2(a850)),f775(f181(f851(f851(x98051))),x98052))))),f130(a850,f775(f294(a850,f2(a850)),x98053))),f164(x98051,x98052))
% 184.29/184.10 [9806]E(x98061,f115(f851(x98062)))+~E(f775(f181(f851(x98062)),f775(f775(f153(f851(x98062)),x98061),f766(x98063,x98062,x98061))),x98063)+E(f775(f775(f143(a850,f851(x98062)),f775(f775(f9(a850,f851(a850),f851(x98062)),f775(f775(f10(f857(a850,x98062),f857(f851(a850),f851(x98062)),a850),f143(a850,x98062)),f775(f9(a850,a850,x98062),f775(f775(f10(f851(x98062),f857(a850,x98062),a850),f153(x98062)),f775(f153(f851(x98062)),x98061))))),f130(a850,f775(f294(a850,f2(a850)),f775(f181(f851(f851(x98062))),x98061))))),f130(a850,f775(f294(a850,f2(a850)),x98063))),f164(x98062,x98061))
% 184.29/184.10 [9807]~E(x98073,f2(a850))+E(f775(f775(f143(a850,f851(x98071)),f775(f775(f9(a850,f851(a850),f851(x98071)),f775(f775(f10(f857(a850,x98071),f857(f851(a850),f851(x98071)),a850),f143(a850,x98071)),f775(f9(a850,a850,x98071),f775(f775(f10(f851(x98071),f857(a850,x98071),a850),f153(x98071)),f775(f153(f851(x98071)),x98072))))),f130(a850,f775(f294(a850,f2(a850)),f775(f181(f851(f851(x98071))),x98072))))),f130(a850,f775(f294(a850,f2(a850)),x98073))),f164(x98071,x98072))+P1(f775(f775(f233(a850),f766(x98073,x98071,x98072)),f775(f181(f851(f851(x98071))),x98072)))
% 184.29/184.10 [9808]E(x98081,f115(f851(x98082)))+E(f775(f775(f143(a850,f851(x98082)),f775(f775(f9(a850,f851(a850),f851(x98082)),f775(f775(f10(f857(a850,x98082),f857(f851(a850),f851(x98082)),a850),f143(a850,x98082)),f775(f9(a850,a850,x98082),f775(f775(f10(f851(x98082),f857(a850,x98082),a850),f153(x98082)),f775(f153(f851(x98082)),x98081))))),f130(a850,f775(f294(a850,f2(a850)),f775(f181(f851(f851(x98082))),x98081))))),f130(a850,f775(f294(a850,f2(a850)),x98083))),f164(x98082,x98081))+P1(f775(f775(f233(a850),f766(x98083,x98082,x98081)),f775(f181(f851(f851(x98082))),x98081)))
% 184.29/184.10 [7665]E(f775(f775(f82(a850),f775(f106(a850),x76651)),f775(f775(f82(a850),f775(f106(a850),x76652)),x76653)),f775(f775(f82(a850),f775(f106(a850),f775(f775(f82(a1),x76651),x76652))),x76653))+P1(f775(a186,f775(f106(a1),x76651)))+P1(f775(a186,f775(f106(a1),x76652)))
% 184.29/184.10 [8425]~P1(f775(f63(x84251),x84252))+~P1(f775(f775(f334(x84251),x84253),x84252))+E(f775(a114,f775(f42(x84251),f775(f775(f3(f857(x84251,a844)),x84252),f775(f775(f302(x84251),x84253),f180(f857(x84251,a844)))))),f775(f42(x84251),x84252))
% 184.29/184.10 [8445]~P1(f775(f63(x84451),x84452))+~P1(f775(f775(f334(x84451),x84453),x84452))+E(f775(f775(f82(a850),f80(a850)),f775(f42(x84451),f775(f775(f3(f857(x84451,a844)),x84452),f775(f775(f302(x84451),x84453),f180(f857(x84451,a844)))))),f775(f42(x84451),x84452))
% 184.29/184.10 [8529]~P100(x85291)+~P1(f775(f63(x85291),x85293))+E(f775(f775(f138(x85291,x85291,f7(x85291)),x85292),f130(x85291,f775(f775(f3(f857(x85291,a844)),x85293),f775(f775(f302(x85291),x85292),f180(f857(x85291,a844)))))),f130(x85291,f775(f775(f302(x85291),x85292),x85293)))
% 184.29/184.10 [8667]~P1(f775(f63(x86671),x86673))+~P1(f775(f63(x86671),x86672))+E(f775(f775(f82(a850),f775(f42(x86671),f775(f775(f103(f857(x86671,a844)),x86672),x86673))),f775(f42(x86671),f775(f775(f104(f857(x86671,a844)),x86672),x86673))),f775(f775(f82(a850),f775(f42(x86671),x86672)),f775(f42(x86671),x86673)))
% 184.29/184.10 [9754]~P29(x97541,f857(f857(x97541,a844),a844),f775(f775(f9(x97541,f857(f856(x97541,x97541),a844),f857(f857(x97541,a844),a844)),f775(f775(f10(f857(x97541,a844),f857(f857(f856(x97541,x97541),a844),f857(f857(x97541,a844),a844)),x97541),f61(x97541)),f775(f775(f9(x97541,f857(x97541,a844),f857(x97541,a844)),f302(x97541)),f180(f857(x97541,a844))))),x97543),x97542)+~P1(f775(f63(x97541),x97542))+E(f775(f42(f857(x97541,a844)),f775(f775(f61(x97541),x97542),x97543)),f775(f42(x97541),x97542))
% 184.29/184.10 [7937]~P88(x79371)+P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x79373)))+E(f775(f775(f242(x79371),x79372),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),x79373),x79373)),a99))),f80(x79371))
% 184.29/184.10 [9298]~P88(x92981)+~P1(f775(f775(f232(a1),f2(a1)),f775(f106(a1),x92983)))+E(f775(f775(f242(x92981),x92982),f775(f106(a850),f775(f775(f3(a1),f775(f775(f82(a1),x92983),x92983)),a99))),f775(f775(f88(x92981,x92981),f775(f775(f242(x92981),x92982),f775(f106(a850),x92983))),f775(f775(f20(x92981,x92981,x92981),f775(f775(f10(x92981,f857(x92981,x92981),x92981),f83(x92981)),f775(f83(x92981),x92982))),f7(x92981))))
% 184.29/184.10 [9719]P1(f775(f775(f232(f857(f856(x97191,x97191),a844)),f300(x97191,x97192)),x97193))+~P1(f775(f775(f232(f857(f856(x97191,x97191),a844)),f300(x97191,f180(f857(f856(x97191,x97191),a844)))),x97193))+~P1(f775(f775(f232(f857(f856(x97191,x97191),a844)),f775(f775(f281(x97191,x97191,x97191),f775(f775(f104(f857(f856(x97191,x97191),a844)),f300(x97191,x97192)),x97193)),x97192)),x97193))
% 184.29/184.10 [9585]~P1(f775(f63(x95851),f775(f256(x95851),x95853)))+~P1(f775(f63(x95851),f775(f256(x95851),x95852)))+P1(f775(f63(x95851),f775(f256(x95851),f775(f775(f20(x95851,a844,a844),f775(f775(f10(a844,f857(a844,a844),x95851),a332),x95852)),x95853))))
% 184.29/184.10 [9873]P1(f775(f775(f232(f857(f856(x98731,x98731),a844)),f775(f775(f281(x98731,x98731,x98731),x98732),f300(x98731,x98732))),x98733))+~P1(f775(f775(f232(f857(f856(x98731,x98731),a844)),x98732),x98733))+~P1(f775(f775(f232(f857(f856(x98731,x98731),a844)),f775(f775(f281(x98731,x98731,x98731),f775(f775(f104(f857(f856(x98731,x98731),a844)),f775(f775(f281(x98731,x98731,x98731),x98732),f300(x98731,x98732))),x98733)),x98732)),x98733))
% 184.29/184.10 [9821]~P110(x98212)+E(x98211,f2(x98212))+~E(f775(f775(f82(x98212),f775(f775(f242(x98212),x98213),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x98212),x98211),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f2(x98212))
% 184.29/184.10 [9822]~P110(x98222)+E(x98221,f2(x98222))+~E(f775(f775(f82(x98222),f775(f775(f242(x98222),x98221),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x98222),x98223),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f2(x98222))
% 184.29/184.10 [9915]~P110(x99152)+E(x99151,f2(x99152))+P1(f775(f775(f233(x99152),f2(x99152)),f775(f775(f82(x99152),f775(f775(f242(x99152),x99153),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x99152),x99151),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))))
% 184.29/184.10 [9916]~P110(x99162)+E(x99161,f2(x99162))+P1(f775(f775(f233(x99162),f2(x99162)),f775(f775(f82(x99162),f775(f775(f242(x99162),x99161),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x99162),x99163),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))))
% 184.29/184.10 [9964]~P110(x99641)+P1(f775(f775(f232(x99641),f2(x99641)),x99642))+~P1(f775(f775(f232(x99641),f2(x99641)),f775(f775(f242(x99641),x99642),f775(a114,f775(f775(f83(a850),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),x99643)))))
% 184.29/184.10 [5369]~P28(x53691,x53694,x53693)+P28(x53691,x53692,x53693)+~P28(x53691,x53692,x53694)
% 184.29/184.10 [4846]~E(x48462,f92(x48463,x48461))+P1(f775(x48461,x48462))+~P1(f775(x48461,x48464))
% 184.29/184.10 [6613]~P36(x66132,x66134)+~P36(x66131,x66133)+P36(f856(x66131,x66132),f325(x66131,x66132,x66133,x66134))
% 184.29/184.10 [8008]~P39(f35(x80084,x80081),x80082,x80083,x80082)+P39(x80081,x80082,x80083,f798(x80083,x80082,x80081,x80084))+~P1(f775(x80084,x80082))
% 184.29/184.10 [8035]~P39(f35(x80351,x80352),x80354,x80353,x80354)+P39(f35(x80351,x80352),f798(x80353,x80354,x80352,x80351),x80353,x80354)+~P1(f775(x80351,x80354))
% 184.29/184.10 [5027]~P11(x50274,x50271)+~E(f775(x50271,x50272),f775(x50271,x50273))+P1(f775(f775(x50271,x50272),x50273))
% 184.29/184.10 [5188]~P11(x51884,x51881)+E(f775(x51881,x51882),f775(x51881,x51883))+~P1(f775(f775(x51881,x51882),x51883))
% 184.29/184.10 [5276]~P22(x52763,x52764,x52761)+E(f775(x52761,x52762),f775(f65(x52763,x52764),x52762))+~P1(f775(f63(x52763),x52762))
% 184.29/184.10 [5277]~P14(x52773,x52774,x52771)+E(f775(x52771,x52772),f775(f65(x52773,x52774),x52772))+~P1(f775(f63(x52773),x52772))
% 184.29/184.10 [5404]~P11(x54044,x54041)+~P1(f775(f775(x54041,x54043),x54042))+P1(f775(f775(x54041,x54042),x54043))
% 184.29/184.10 [5468]E(x54681,x54682)+~E(f775(f240(x54683,x54684),x54681),f775(f240(x54683,x54684),x54682))+~E(f775(f250(x54683,x54684),x54681),f775(f250(x54683,x54684),x54682))
% 184.29/184.10 [5494]E(x54941,x54942)+~P1(f775(f55(x54943,x54944),x54942))+~P1(f775(f55(x54943,x54944),x54941))
% 184.29/184.10 [5688]~P66(x56882)+E(f225(x56881,x56882,x56883,x56884),f2(x56882))+P1(f775(f63(x56881),x56884))
% 184.29/184.10 [5825]~P1(f775(f321(x58251,x58252),x58254))+P1(f775(f321(x58251,x58252),x58253))+~P1(f775(f775(x58252,x58253),x58254))
% 184.29/184.10 [8079]~P1(f775(f63(x80792),x80794))+~P1(f775(f63(x80791),x80793))+P1(f775(f63(f858(x80791,x80792)),f314(x80791,x80792,x80793,x80794)))
% 184.29/184.10 [8082]P1(f775(f775(f334(f851(x80821)),f775(f775(f125(x80821),x80822),x80823)),f149(x80821,x80824)))+~P1(f775(f775(f334(f851(x80821)),x80823),f149(x80821,x80824)))+~P1(f775(f775(f334(f851(x80821)),x80822),f149(x80821,x80824)))
% 184.29/184.10 [8657]~P1(f775(f775(f334(f856(x86571,x86571)),f775(f775(f241(x86571,x86571),x86572),x86574)),f300(x86571,x86573)))+P1(f775(f775(f334(x86571),x86572),f322(x86571,x86573)))+~P1(f775(f775(f334(x86571),x86574),f322(x86571,x86573)))
% 184.29/184.10 [5011]~P66(x50112)+E(f775(f775(f8(x50111,x50112),x50113),x50114),f2(x50112))+P1(f775(f63(x50111),x50114))
% 184.29/184.10 [5014]~P70(x50142)+E(f775(f775(f11(x50141,x50142),x50143),x50144),f80(x50142))+P1(f775(f63(x50141),x50144))
% 184.29/184.10 [5157]~P3(x51573)+E(x51571,x51572)+~E(f775(f775(f82(x51573),x51574),x51571),f775(f775(f82(x51573),x51574),x51572))
% 184.29/184.10 [5158]~P4(x51583)+E(x51581,x51582)+~E(f775(f775(f82(x51583),x51584),x51581),f775(f775(f82(x51583),x51584),x51582))
% 184.29/184.10 [5160]~P3(x51603)+E(x51601,x51602)+~E(f775(f775(f82(x51603),x51601),x51604),f775(f775(f82(x51603),x51602),x51604))
% 184.29/184.10 [5246]~P112(x52461)+~E(x52463,f775(f775(f83(x52461),x52462),x52464))+P1(f775(f775(f279(x52461),x52462),x52463))
% 184.29/184.10 [5271]~P9(x52713)+E(x52711,f180(f857(x52712,a844)))+E(f775(f775(f46(x52712,x52713),x52711),f775(f18(x52713,x52712),x52714)),x52714)
% 184.29/184.10 [5272]~P9(x52723)+E(x52721,f180(f857(x52722,a844)))+E(f775(f775(f47(x52722,x52723),x52721),f775(f18(x52723,x52722),x52724)),x52724)
% 184.29/184.10 [5482]~P99(x54823)+E(x54821,x54822)+~E(f295(x54823,x54824,x54821),f775(f775(f302(x54823),x54822),f180(f857(x54823,a844))))
% 184.29/184.10 [5483]~P99(x54833)+E(x54831,x54832)+~E(f295(x54833,x54831,x54832),f775(f775(f302(x54833),x54834),f180(f857(x54833,a844))))
% 184.29/184.10 [5787]P1(f775(x57871,x57872))+~P1(f775(f245(x57873,x57871),x57874))+~P1(f775(f775(f334(x57873),x57872),x57874))
% 184.29/184.10 [5816]E(x58161,x58162)+~P1(f775(f775(f187(x58163),x58164),x58162))+~P1(f775(f775(f187(x58163),x58164),x58161))
% 184.29/184.10 [5898]~P66(x58981)+E(f775(f775(f8(a850,x58981),x58982),f775(f294(a850,x58983),f775(a114,x58984))),f2(x58981))+~P1(f775(f775(f233(a850),x58984),x58983))
% 184.29/184.10 [5903]~P8(x59031)+~E(f52(x59031,x59032,x59033),f52(x59031,x59034,x59033))+E(f52(x59031,f775(f81(x59031),x59032),x59033),f52(x59031,f775(f81(x59031),x59034),x59033))
% 184.29/184.10 [5972]P1(f775(x59721,x59722))+~E(f775(f126(x59723,x59721),x59724),x59724)+~P1(f775(f775(f334(x59723),x59722),f775(f158(x59723),x59724)))
% 184.29/184.10 [5991]~E(f775(f775(f82(a850),x59913),x59912),f775(f775(f82(a850),x59911),x59914))+~P1(f775(f775(f233(a850),x59913),x59914))+P1(f775(f775(f233(a850),x59911),x59912))
% 184.29/184.10 [5998]~P7(x59981)+E(f52(x59981,f52(x59981,x59982,x59983),x59984),f52(x59981,x59982,x59984))+~P1(f775(f775(f279(x59981),x59984),x59983))
% 184.29/184.10 [6036]~E(f775(f126(x60361,x60362),x60363),f115(x60361))+~P1(f775(x60362,x60364))+~P1(f775(f775(f334(x60361),x60364),f775(f158(x60361),x60363)))
% 184.29/184.10 [6037]~E(f162(x60373,x60371,x60374),x60374)+P1(f775(x60371,x60372))+~P1(f775(f775(f334(x60373),x60372),f775(f158(x60373),x60374)))
% 184.29/184.10 [6072]~E(x60724,f180(f857(x60722,a844)))+~E(x60723,f180(f857(x60721,a844)))+E(f314(x60721,x60722,x60723,x60724),f180(f857(f858(x60721,x60722),a844)))
% 184.29/184.10 [6506]~P66(x65061)+E(f775(f775(f8(a850,x65061),x65062),f295(a850,x65063,f775(a114,x65064))),f2(x65061))+~P1(f775(f775(f233(a850),f775(a114,x65064)),x65063))
% 184.29/184.10 [6656]~P100(x66561)+E(f775(f775(f3(f857(x66561,a844)),f775(f294(x66561,x66562),x66563)),f775(f294(x66561,x66562),x66564)),f775(f294(x66561,x66564),x66563))+~P1(f775(f775(f232(x66561),x66562),x66564))
% 184.29/184.10 [7021]~P1(f775(f775(f334(f851(x70211)),x70214),f149(x70211,x70213)))+P1(f775(f775(f334(x70211),x70212),x70213))+~P1(f775(f775(f334(x70211),x70212),f775(f158(x70211),x70214)))
% 184.29/184.10 [7028]~P36(x70281,x70282)+P1(f775(f775(f334(x70281),f694(x70282,x70281,x70283)),x70283))+~P1(f775(f775(f334(x70281),x70284),x70283))
% 184.29/184.10 [7085]~P66(x70851)+E(f775(f775(f775(f67(x70851,x70852,f82(x70851)),x70853),f2(x70851)),x70854),f775(f775(f8(x70852,x70851),x70853),x70854))+~P1(f775(f63(x70852),x70854))
% 184.29/184.10 [7087]~P70(x70871)+E(f775(f775(f775(f67(x70871,x70872,f83(x70871)),x70873),f80(x70871)),x70874),f775(f775(f11(x70872,x70871),x70873),x70874))+~P1(f775(f63(x70872),x70874))
% 184.29/184.10 [7114]P29(x71141,x71142,x71143,x71144)+~E(f775(f42(x71142),f775(f303(x71141,x71142,x71143),x71144)),f775(f42(x71141),x71144))+~P1(f775(f63(x71141),x71144))
% 184.29/184.10 [7318]~P66(x73181)+E(f775(f775(f82(x73181),f775(x73182,x73183)),f775(f775(f8(a850,x73181),x73182),f297(a850,x73183,x73184))),f775(f775(f8(a850,x73181),x73182),f295(a850,x73183,x73184)))+~P1(f775(f775(f232(a850),x73183),x73184))
% 184.29/184.10 [7328]~P66(x73281)+~P29(x73282,x73281,x73283,x73284)+E(f775(f775(f8(x73281,x73281),f39(x73281)),f775(f303(x73282,x73281,x73283),x73284)),f775(f775(f8(x73282,x73281),x73283),x73284))
% 184.29/184.10 [7329]~P70(x73291)+~P29(x73292,x73291,x73293,x73294)+E(f775(f775(f11(x73291,x73291),f39(x73291)),f775(f303(x73292,x73291,x73293),x73294)),f775(f775(f11(x73292,x73291),x73293),x73294))
% 184.29/184.10 [7388]E(f775(f42(f858(x73881,x73882)),f314(x73881,x73882,x73883,x73884)),f775(f775(f82(a850),f775(f42(x73881),x73883)),f775(f42(x73882),x73884)))+~P1(f775(f63(x73882),x73884))+~P1(f775(f63(x73881),x73883))
% 184.29/184.10 [7473]E(x74731,x74732)+P1(f775(f775(f334(x74733),x74731),f775(f158(x74733),f151(x74733,x74732,x74734))))+~P1(f775(f775(f334(x74733),x74731),f775(f158(x74733),x74734)))
% 184.29/184.10 [7699]~P66(x76991)+E(f775(f775(f82(x76991),f775(f775(f8(a850,x76991),x76992),f775(f294(a850,x76993),x76994))),f775(x76992,x76994)),f775(f775(f8(a850,x76991),x76992),f775(f294(a850,x76993),f775(a114,x76994))))+P1(f775(f775(f233(a850),x76994),x76993))
% 184.29/184.10 [7756]~P29(x77561,x77562,x77563,f239(f857(x77561,a844)))+~P1(f775(f63(x77562),x77564))+P1(f775(f63(x77561),f775(f305(x77561,x77562,x77563),x77564)))
% 184.29/184.10 [7870]P1(f775(f775(f334(f851(x78701)),f775(f775(f140(x78701),x78702),x78703)),f149(x78701,x78704)))+~P1(f775(f775(f334(f851(x78701)),x78703),f149(x78701,x78704)))+~P1(f775(f775(f334(x78701),x78702),x78704))
% 184.29/184.10 [7961]~E(f775(f303(x79613,x79611,x79614),f239(f857(x79613,a844))),f239(f857(x79611,a844)))+P1(f775(f63(x79611),x79612))+~P1(f775(f63(x79613),f775(f305(x79613,x79611,x79614),x79612)))
% 184.29/184.10 [8051]~P29(x80511,x80513,x80514,x80512)+P1(f775(f63(x80511),x80512))+~P1(f775(f63(x80513),f775(f303(x80511,x80513,x80514),x80512)))
% 184.29/184.10 [8074]~E(x80742,x80743)+P1(f775(f775(f334(f856(x80741,x80741)),f775(f775(f241(x80741,x80741),x80742),x80743)),f260(x80741,x80744)))+~P1(f775(f775(f334(x80741),x80742),x80744))
% 184.29/184.10 [8105]~P66(x81051)+E(f775(f775(f82(x81051),f775(f775(f8(a850,x81051),x81052),f295(a850,x81053,x81054))),f775(x81052,f775(a114,x81054))),f775(f775(f8(a850,x81051),x81052),f295(a850,x81053,f775(a114,x81054))))+P1(f775(f775(f233(a850),f775(a114,x81054)),x81053))
% 184.29/184.10 [8168]P1(f775(x81681,x81682))+~P1(f775(x81681,f775(f775(f153(x81683),x81684),f725(x81681,x81684,x81683))))+~P1(f775(f775(f334(x81683),x81682),f775(f158(x81683),x81684)))
% 184.29/184.10 [8302]~P1(f775(f775(f334(x83021),x83022),f322(x83021,x83024)))+P1(f775(f775(f334(f851(x83021)),f775(f775(f140(x83021),x83022),x83023)),f322(f851(x83021),f146(x83021,x83024))))+~P1(f775(f775(f334(f851(x83021)),x83023),f322(f851(x83021),f146(x83021,x83024))))
% 184.29/184.10 [8318]~P29(x83182,x83183,x83184,f687(x83184,x83183,x83182,x83181))+P29(x83182,x83183,x83184,f45(f857(x83182,a844),x83181))+E(x83181,f180(f857(f857(x83182,a844),a844)))
% 184.29/184.10 [8579]E(x85791,x85792)+~P1(f775(f775(f334(f856(x85793,x85793)),f775(f775(f241(x85793,x85793),x85791),x85792)),f300(x85793,x85794)))+P1(f775(f775(f334(x85793),x85791),f775(f261(x85793,x85793),x85794)))
% 184.29/184.10 [8826]P29(x88262,x88263,x88264,f45(f857(x88262,a844),x88261))+E(x88261,f180(f857(f857(x88262,a844),a844)))+P1(f775(f775(f334(f857(x88262,a844)),f687(x88264,x88263,x88262,x88261)),x88261))
% 184.29/184.10 [8954]P1(f775(f63(x89541),x89542))+~P1(f775(f63(x89544),f775(f303(x89541,x89544,x89543),x89542)))+P1(f775(f775(f334(x89541),f599(x89543,x89544,x89542,x89541)),x89542))
% 184.29/184.10 [9046]~P9(x90462)+E(f775(f775(f66(x90461,x90462,f775(f775(f10(x90462,f857(x90462,x90462),x90461),f103(x90462)),x90463)),f180(x90462)),x90464),f775(f775(f46(x90461,x90462),x90464),x90463))+~P1(f775(f63(x90461),x90464))
% 184.29/184.10 [9047]~P9(x90472)+E(f775(f775(f66(x90471,x90472,f775(f775(f10(x90472,f857(x90472,x90472),x90471),f104(x90472)),x90473)),f239(x90472)),x90474),f775(f775(f47(x90471,x90472),x90474),x90473))+~P1(f775(f63(x90471),x90474))
% 184.29/184.10 [9073]~P1(f775(f775(f279(a850),x90733),x90734))+P1(f775(f775(f279(a850),x90731),x90732))+P1(f775(f775(f233(f857(a850,a844)),f282(a850,f279(a850),x90731,x90732)),f282(a850,f279(a850),x90733,x90734)))
% 184.29/184.10 [9084]~P1(f775(f775(f279(a850),x90842),x90844))+~P1(f775(f775(f279(a850),x90843),x90841))+P1(f775(f775(f232(f857(a850,a844)),f282(a850,f279(a850),x90841,x90842)),f282(a850,f279(a850),x90843,x90844)))
% 184.29/184.10 [9142]E(x91421,x91422)+~P1(f775(f775(f334(f856(x91423,x91423)),f775(f775(f241(x91423,x91423),x91421),x91422)),f300(x91423,x91424)))+P1(f775(f775(f334(f856(x91423,x91423)),f775(f775(f241(x91423,x91423),x91421),x91422)),f775(f775(f281(x91423,x91423,x91423),x91424),f300(x91423,x91424))))
% 184.29/184.10 [9173]~E(f775(f181(f851(x91731)),x91732),f775(f181(f851(x91731)),x91733))+~P1(f775(f775(f334(f856(f851(x91731),f851(x91731))),f775(f775(f241(f851(x91731),f851(x91731)),x91732),x91733)),f137(x91731,x91734)))+P1(f775(f775(f334(f856(f851(x91731),f851(x91731))),f775(f775(f241(f851(x91731),f851(x91731)),x91732),x91733)),f135(x91731,x91734)))
% 184.29/184.10 [9285]P1(f775(f775(f279(a850),x92851),x92852))+~P1(f775(f775(f279(a850),x92853),x92851))+~P1(f775(f775(f233(f857(a850,a844)),f282(a850,f279(a850),x92853,x92851)),f282(a850,f279(a850),x92854,x92852)))
% 184.29/184.10 [9286]P1(f775(f775(f279(a850),x92861),x92862))+~P1(f775(f775(f279(a850),x92863),x92861))+~P1(f775(f775(f232(f857(a850,a844)),f282(a850,f279(a850),x92863,x92861)),f282(a850,f279(a850),x92864,x92862)))
% 184.29/184.10 [9287]P1(f775(f775(f279(a850),x92871),x92872))+~P1(f775(f775(f279(a850),x92872),x92873))+~P1(f775(f775(f233(f857(a850,a844)),f282(a850,f279(a850),x92872,x92873)),f282(a850,f279(a850),x92871,x92874)))
% 184.29/184.10 [9288]P1(f775(f775(f279(a850),x92881),x92882))+~P1(f775(f775(f279(a850),x92882),x92883))+~P1(f775(f775(f232(f857(a850,a844)),f282(a850,f279(a850),x92882,x92883)),f282(a850,f279(a850),x92881,x92884)))
% 184.29/184.10 [9588]~P6(x95881)+E(f775(f775(f8(a850,x95881),f775(f775(f20(a850,x95881,x95881),f775(f775(f10(x95881,f857(x95881,x95881),a850),f3(x95881)),x95882)),f775(f775(f10(a850,x95881,a850),x95882),f775(f775(f9(a850,a850,a850),f82(a850)),f80(a850))))),f295(a850,x95883,x95884)),f2(x95881))+P1(f775(f775(f232(a850),x95883),x95884))
% 184.29/184.10 [9819]~P36(x98192,x98194)+~P29(x98192,x98191,x98193,f239(f857(x98192,a844)))+P36(x98191,f775(f303(f856(x98192,x98192),f856(x98191,x98191),f252(x98192,x98191,x98192,x98191,x98193,x98193)),x98194))
% 184.29/184.10 [9992]~E(f775(f181(f851(x99921)),x99923),f775(f181(f851(x99921)),x99922))+P1(f775(f775(f334(f856(f851(x99921),f851(x99921))),f775(f775(f241(f851(x99921),f851(x99921)),x99922),x99923)),f147(x99921,x99924)))+~P1(f775(f775(f251(x99921,x99921,a844),f775(f775(f9(x99921,f857(f856(x99921,x99921),a844),f857(x99921,a844)),f775(f775(f10(f857(x99921,f857(f857(f856(x99921,x99921),a844),a844)),f857(f857(f856(x99921,x99921),a844),f857(x99921,a844)),x99921),f9(x99921,f857(f856(x99921,x99921),a844),a844)),f775(f775(f10(f857(x99921,f856(x99921,x99921)),f857(x99921,f857(f857(f856(x99921,x99921),a844),a844)),x99921),f775(f10(f856(x99921,x99921),f857(f857(f856(x99921,x99921),a844),a844),x99921),f334(f856(x99921,x99921)))),f241(x99921,x99921)))),x99924)),f716(x99924,x99923,x99922,x99921)))
% 184.29/184.10 [5862]~E(x58624,x58622)+P1(f775(x58621,x58622))+P1(f775(f775(f187(f35(x58621,x58623)),x58622),x58624))
% 184.29/184.10 [5956]~P7(x59561)+~E(x59562,f2(x59561))+E(f775(f775(f43(x59561),f775(f775(f83(x59561),x59562),x59563)),f775(f775(f83(x59561),x59562),x59564)),f2(x59561))
% 184.29/184.10 [5995]E(x59951,f115(x59952))+E(x59953,f775(f775(f3(a850),f775(f181(f851(x59952)),x59951)),f80(a850)))+E(f134(x59952,f775(f775(f148(x59952,x59951),x59953),x59954)),f134(x59952,x59951))
% 184.29/184.10 [6027]E(x60271,x60272)+P1(f775(x60273,x60272))+~P1(f775(f775(f775(f302(x60274),x60271),x60273),x60272))
% 184.29/184.10 [6041]~P66(x60411)+~P1(f775(f127(x60412),x60414))+E(f775(f155(x60411),f775(f775(f143(x60412,x60411),x60413),x60414)),f775(f775(f8(x60412,x60411),x60413),f775(f158(x60412),x60414)))
% 184.29/184.10 [6065]~P70(x60652)+~P1(f775(f63(x60651),x60654))+E(f775(f775(f11(x60651,x60652),f775(f18(x60652,x60651),x60653)),x60654),f775(f775(f242(x60652),x60653),f775(f42(x60651),x60654)))
% 184.29/184.10 [6119]~P7(x61192)+E(x61191,f2(x61192))+E(f775(f775(f43(x61192),f775(f775(f83(x61192),x61193),x61191)),f775(f775(f83(x61192),x61194),x61191)),f775(f775(f43(x61192),x61193),x61194))
% 184.29/184.10 [6121]~P60(x61212)+E(x61211,f2(x61212))+E(f775(f775(f283(x61212),f775(f775(f83(x61212),x61213),x61211)),f775(f775(f83(x61212),x61214),x61211)),f775(f775(f283(x61212),x61213),x61214))
% 184.29/184.10 [6122]~P60(x61222)+E(x61221,f2(x61222))+E(f775(f775(f283(x61222),f775(f775(f83(x61222),x61221),x61223)),f775(f775(f83(x61222),x61221),x61224)),f775(f775(f283(x61222),x61223),x61224))
% 184.29/184.10 [6123]~P7(x61232)+E(x61231,f2(x61232))+E(f775(f775(f43(x61232),f775(f775(f83(x61232),x61231),x61233)),f775(f775(f83(x61232),x61231),x61234)),f775(f775(f43(x61232),x61233),x61234))
% 184.29/184.10 [6189]P1(f775(x61891,x61892))+~E(x61893,f775(f775(f82(a850),x61894),x61892))+~P1(f775(x61891,f775(f775(f3(a850),x61893),x61894)))
% 184.29/184.10 [6272]P32(x62721,x62722,x62723)+P31(x62721,f669(x62723,x62722,x62721),x62724)+~P1(f775(f775(f334(f849(x62721)),x62724),x62722))
% 184.29/184.10 [6318]E(x63181,f115(x63182))+~E(x63183,f775(f775(f3(a850),f775(f181(f851(x63182)),x63181)),f80(a850)))+E(f134(x63182,f775(f775(f148(x63182,x63181),x63183),x63184)),x63184)
% 184.29/184.10 [6341]~P100(x63411)+~P1(f775(f775(f233(x63411),x63412),x63414))+P1(f775(f775(f233(x63411),x63412),f775(f775(f179(x63411),x63413),x63414)))
% 184.29/184.10 [6343]~P100(x63431)+~P1(f775(f775(f233(x63431),x63432),x63433))+P1(f775(f775(f233(x63431),x63432),f775(f775(f179(x63431),x63433),x63434)))
% 184.29/184.10 [6344]~P92(x63441)+~P1(f775(f775(f233(x63441),x63442),x63444))+P1(f775(f775(f233(x63441),x63442),f775(f775(f103(x63441),x63443),x63444)))
% 184.29/184.10 [6345]~P92(x63451)+~P1(f775(f775(f233(x63451),x63452),x63453))+P1(f775(f775(f233(x63451),x63452),f775(f775(f103(x63451),x63453),x63454)))
% 184.29/184.10 [6347]~P100(x63471)+~P1(f775(f775(f232(x63471),x63472),x63474))+P1(f775(f775(f232(x63471),x63472),f775(f775(f179(x63471),x63473),x63474)))
% 184.29/184.10 [6349]~P100(x63491)+~P1(f775(f775(f232(x63491),x63492),x63493))+P1(f775(f775(f232(x63491),x63492),f775(f775(f179(x63491),x63493),x63494)))
% 184.29/184.10 [6350]~P92(x63501)+~P1(f775(f775(f232(x63501),x63502),x63504))+P1(f775(f775(f232(x63501),x63502),f775(f775(f103(x63501),x63503),x63504)))
% 184.29/184.10 [6351]~P92(x63511)+~P1(f775(f775(f232(x63511),x63512),x63513))+P1(f775(f775(f232(x63511),x63512),f775(f775(f103(x63511),x63513),x63514)))
% 184.29/184.10 [6352]~P85(x63521)+~P1(f775(f775(f279(x63521),x63522),x63524))+P1(f775(f775(f279(x63521),x63522),f775(f775(f83(x63521),x63523),x63524)))
% 184.29/184.10 [6353]~P85(x63531)+~P1(f775(f775(f279(x63531),x63532),x63533))+P1(f775(f775(f279(x63531),x63532),f775(f775(f83(x63531),x63533),x63534)))
% 184.29/184.10 [6448]~E(f775(f775(f153(x64481),x64482),x64483),x64484)+E(f775(f775(f148(x64481,x64482),x64483),x64484),x64482)+~P1(f775(f775(f233(a850),x64483),f775(f181(f851(x64481)),x64482)))
% 184.29/184.10 [6468]E(x64681,x64682)+P1(f775(x64683,x64681))+~P1(f775(f775(f187(f35(x64683,x64684)),x64681),x64682))
% 184.29/184.10 [6489]P1(f775(x64891,x64892))+~P1(f775(x64893,x64892))+~P1(f775(f775(f232(f857(x64894,a844)),x64893),x64891))
% 184.29/184.10 [6525]~E(f775(f775(f148(x65251,x65252),x65253),x65254),x65252)+E(f775(f775(f153(x65251),x65252),x65253),x65254)+~P1(f775(f775(f233(a850),x65253),f775(f181(f851(x65251)),x65252)))
% 184.29/184.10 [6644]P31(x66441,x66442,x66443)+~P31(x66441,f775(a114,x66442),f823(x66442,x66444,x66441))+~P1(f775(f775(f334(f849(x66441)),x66443),x66444))
% 184.29/184.10 [6653]E(x66531,f180(f857(x66532,a844)))+E(x66533,f180(f857(x66534,a844)))+~E(f775(f775(f248(x66534,x66532),x66533),f775(f18(f857(x66532,a844),x66534),x66531)),f180(f857(f856(x66534,x66532),a844)))
% 184.29/184.10 [6671]E(x66711,x66712)+P1(f775(f775(f334(x66713),x66711),x66714))+~P1(f775(f775(f334(x66713),x66711),f775(f775(f302(x66713),x66712),x66714)))
% 184.29/184.10 [6688]~P100(x66881)+P1(f775(f775(f233(x66881),x66882),x66883))+~P1(f775(f775(f233(x66881),x66882),f775(f775(f236(x66881),x66884),x66883)))
% 184.29/184.10 [6689]~P100(x66891)+P1(f775(f775(f233(x66891),x66892),x66893))+~P1(f775(f775(f233(x66891),x66892),f775(f775(f236(x66891),x66893),x66894)))
% 184.29/184.10 [6691]~P100(x66911)+P1(f775(f775(f232(x66911),x66912),x66913))+~P1(f775(f775(f232(x66911),x66912),f775(f775(f236(x66911),x66914),x66913)))
% 184.29/184.10 [6693]~P100(x66931)+P1(f775(f775(f232(x66931),x66932),x66933))+~P1(f775(f775(f232(x66931),x66932),f775(f775(f236(x66931),x66933),x66934)))
% 184.29/184.10 [6695]~P98(x66951)+P1(f775(f775(f232(x66951),x66952),x66953))+~P1(f775(f775(f232(x66951),x66952),f775(f775(f104(x66951),x66954),x66953)))
% 184.29/184.10 [6697]~P98(x66971)+P1(f775(f775(f232(x66971),x66972),x66973))+~P1(f775(f775(f232(x66971),x66972),f775(f775(f104(x66971),x66973),x66974)))
% 184.29/184.10 [6720]~E(f775(f775(f153(x67201),x67203),x67204),x67202)+P1(f775(f775(f334(x67201),x67202),f775(f158(x67201),x67203)))+~P1(f775(f775(f233(a850),x67204),f775(f181(f851(x67201)),x67203)))
% 184.29/184.10 [6732]~P100(x67321)+~P18(x67321,f775(f775(f140(x67321),x67322),f775(f775(f140(x67321),x67323),x67324)))+P1(f775(f775(f232(x67321),x67322),x67323))
% 184.29/184.10 [6902]E(x69021,f2(a1))+E(f775(f775(f43(a1),x69022),x69021),x69023)+~P1(f775(f56(x69022,x69021),f775(f775(f241(a1,a1),x69023),x69024)))
% 184.29/184.10 [6925]E(f52(a1,x69252,x69251),x69253)+E(x69251,f2(a1))+~P1(f775(f56(x69252,x69251),f775(f775(f241(a1,a1),x69254),x69253)))
% 184.29/184.10 [7042]P1(f775(f775(f334(x70421),x70422),x70423))+~P1(f775(f775(f334(x70421),x70422),x70424))+~P1(f775(f775(f233(f857(x70421,a844)),x70424),x70423))
% 184.29/184.10 [7046]P1(f775(f775(f334(x70461),x70462),x70463))+~P1(f775(f775(f334(x70461),x70462),x70464))+~P1(f775(f775(f232(f857(x70461,a844)),x70464),x70463))
% 184.29/184.10 [7056]~P111(x70561)+~E(x70563,f2(x70561))+P1(f775(f775(f279(x70561),f775(f775(f83(x70561),x70562),x70563)),f775(f775(f83(x70561),x70564),x70563)))
% 184.29/184.10 [7057]~P111(x70571)+~E(x70572,f2(x70571))+P1(f775(f775(f279(x70571),f775(f775(f83(x70571),x70572),x70573)),f775(f775(f83(x70571),x70572),x70574)))
% 184.29/184.10 [7282]~P102(x72822)+~P1(f775(f775(f233(f857(x72821,x72822)),x72823),x72824))+P1(f775(f775(f232(f857(x72821,x72822)),x72823),x72824))
% 184.29/184.10 [7377]~P28(x73771,x73772,x73774)+P28(x73771,x73772,f775(f775(f302(f849(x73771)),x73773),x73774))+~P28(x73771,x73772,f775(f775(f302(f849(x73771)),x73773),f180(f857(f849(x73771),a844))))
% 184.29/184.10 [7416]~P1(f775(f775(f334(x74161),x74162),x74164))+P1(f775(f775(f334(x74161),x74162),f44(f857(x74161,a844),x74163)))+~P1(f775(f775(f334(f857(x74161,a844)),x74164),x74163))
% 184.29/184.10 [7418]~P85(x74181)+~P1(f775(f775(f232(a850),x74183),x74184))+P1(f775(f775(f279(x74181),f775(f775(f242(x74181),x74182),x74183)),f775(f775(f242(x74181),x74182),x74184)))
% 184.29/184.10 [7429]P31(x74291,x74292,x74293)+P1(f775(f775(f334(f849(x74291)),f823(x74292,x74294,x74291)),x74294))+~P1(f775(f775(f334(f849(x74291)),x74293),x74294))
% 184.29/184.10 [7448]~P74(x74481)+~P1(f775(f775(f233(x74481),x74483),x74484))+P1(f775(f775(f233(x74481),f775(f775(f82(x74481),x74482),x74483)),f775(f775(f82(x74481),x74482),x74484)))
% 184.29/184.10 [7449]~P80(x74491)+~P1(f775(f775(f233(x74491),x74493),x74494))+P1(f775(f775(f233(x74491),f775(f775(f82(x74491),x74492),x74493)),f775(f775(f82(x74491),x74492),x74494)))
% 184.29/184.10 [7450]~P74(x74501)+~P1(f775(f775(f233(x74501),x74502),x74504))+P1(f775(f775(f233(x74501),f775(f775(f82(x74501),x74502),x74503)),f775(f775(f82(x74501),x74504),x74503)))
% 184.29/184.10 [7451]~P80(x74511)+~P1(f775(f775(f233(x74511),x74512),x74514))+P1(f775(f775(f233(x74511),f775(f775(f82(x74511),x74512),x74513)),f775(f775(f82(x74511),x74514),x74513)))
% 184.29/184.10 [7452]~P74(x74521)+~P1(f775(f775(f232(x74521),x74523),x74524))+P1(f775(f775(f232(x74521),f775(f775(f82(x74521),x74522),x74523)),f775(f775(f82(x74521),x74522),x74524)))
% 184.29/184.10 [7453]~P78(x74531)+~P1(f775(f775(f232(x74531),x74533),x74534))+P1(f775(f775(f232(x74531),f775(f775(f82(x74531),x74532),x74533)),f775(f775(f82(x74531),x74532),x74534)))
% 184.29/184.10 [7454]~P74(x74541)+~P1(f775(f775(f232(x74541),x74542),x74544))+P1(f775(f775(f232(x74541),f775(f775(f82(x74541),x74542),x74543)),f775(f775(f82(x74541),x74544),x74543)))
% 184.29/184.10 [7455]~P78(x74551)+~P1(f775(f775(f232(x74551),x74552),x74554))+P1(f775(f775(f232(x74551),f775(f775(f82(x74551),x74552),x74553)),f775(f775(f82(x74551),x74554),x74553)))
% 184.29/184.10 [7456]~P111(x74561)+~P1(f775(f775(f279(x74561),x74563),x74564))+P1(f775(f775(f279(x74561),f775(f775(f83(x74561),x74562),x74563)),f775(f775(f83(x74561),x74562),x74564)))
% 184.29/184.10 [7457]~P111(x74571)+~P1(f775(f775(f279(x74571),x74572),x74574))+P1(f775(f775(f279(x74571),f775(f775(f83(x74571),x74572),x74573)),f775(f775(f83(x74571),x74574),x74573)))
% 184.29/184.10 [7458]~P85(x74581)+~P1(f775(f775(f279(x74581),x74582),x74584))+P1(f775(f775(f279(x74581),f775(f775(f242(x74581),x74582),x74583)),f775(f775(f242(x74581),x74584),x74583)))
% 184.29/184.10 [7467]~P135(x74671)+~P89(x74671)+E(f775(f775(f82(x74671),f775(f775(f83(x74671),x74672),f775(f106(x74671),x74673))),f775(f775(f83(x74671),x74674),f775(f106(x74671),x74673))),f775(f775(f83(x74671),f775(f775(f82(x74671),x74672),x74674)),f775(f106(x74671),x74673)))
% 184.29/184.10 [7468]~P121(x74681)+~P89(x74681)+E(f775(f775(f3(x74681),f775(f775(f83(x74681),x74682),f775(f106(x74681),x74683))),f775(f775(f83(x74681),x74684),f775(f106(x74681),x74683))),f775(f775(f83(x74681),f775(f775(f3(x74681),x74682),x74684)),f775(f106(x74681),x74683)))
% 184.29/184.10 [7504]~P66(x75041)+E(f775(f775(f82(x75041),f775(x75042,x75043)),f775(f775(f8(a850,x75041),x75042),f295(a850,f775(a114,x75043),x75044))),f775(f775(f8(a850,x75041),x75042),f295(a850,x75043,x75044)))+~P1(f775(f775(f232(a850),x75043),x75044))
% 184.29/184.10 [7515]~P29(x75152,x75151,x75153,f775(f158(x75152),x75154))+~P1(f775(f127(x75152),x75154))+P1(f775(f127(x75151),f775(f775(f143(x75152,x75151),x75153),x75154)))
% 184.29/184.10 [7564]~P1(f775(f775(f233(a850),x75642),x75644))+~P1(f775(f775(f233(a850),x75641),x75643))+P1(f775(f775(f233(a850),f775(f775(f82(a850),x75641),x75642)),f775(f775(f82(a850),x75643),x75644)))
% 184.29/184.10 [7567]~P1(f775(f775(f233(a1),x75671),x75673))+~P1(f775(f775(f232(a1),x75672),x75674))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x75671),x75672)),f775(f775(f82(a1),x75673),x75674)))
% 184.29/184.10 [7568]~P1(f775(f775(f232(a850),x75682),x75684))+~P1(f775(f775(f232(a850),x75681),x75683))+P1(f775(f775(f232(a850),f775(f775(f82(a850),x75681),x75682)),f775(f775(f82(a850),x75683),x75684)))
% 184.29/184.10 [7569]~P1(f775(f775(f232(a850),x75692),x75694))+~P1(f775(f775(f232(a850),x75691),x75693))+P1(f775(f775(f232(a850),f775(f775(f83(a850),x75691),x75692)),f775(f775(f83(a850),x75693),x75694)))
% 184.29/184.10 [7619]P1(f775(f775(f334(x76191),x76192),x76193))+~P1(f775(f775(f334(x76191),x76192),f45(f857(x76191,a844),x76194)))+~P1(f775(f775(f334(f857(x76191,a844)),x76193),x76194))
% 184.29/184.10 [7635]~P1(f775(x76351,f724(x76351,x76353,x76352)))+P1(f775(x76351,f775(f775(f153(x76352),x76353),x76354)))+~P1(f775(f775(f233(a850),x76354),f775(f181(f851(x76352)),x76353)))
% 184.29/184.10 [7639]P1(f775(x76391,x76392))+~P1(f775(f775(f334(x76394),x76392),f775(f158(x76394),x76393)))+P1(f775(f775(f233(a850),f725(x76391,x76393,x76394)),f775(f181(f851(x76394)),x76393)))
% 184.29/184.10 [7658]~P1(f775(f775(f187(x76582),x76583),x76584))+~P1(f775(f775(f187(f35(x76581,x76582)),x76584),x76583))+P1(f775(f775(f187(f35(x76581,x76582)),x76583),x76583))
% 184.29/184.10 [7686]~P102(x76861)+~P1(f775(f775(f232(f857(x76862,x76861)),x76864),x76863))+~P1(f775(f775(f233(f857(x76862,x76861)),x76863),x76864))
% 184.29/184.10 [7729]~P1(f775(x77294,x77292))+~P1(f775(f775(f334(x77291),x77292),x77293))+P1(f775(f775(f334(x77291),x77292),f775(f775(f104(f857(x77291,a844)),x77293),f775(f256(x77291),x77294))))
% 184.29/184.10 [7878]~P1(f775(f775(f334(x78781),x78783),x78784))+~P1(f775(f775(f233(f857(x78781,a844)),x78782),x78784))+P1(f775(f775(f233(f857(x78781,a844)),x78782),f775(f775(f302(x78781),x78783),x78784)))
% 184.29/184.10 [7880]E(f775(f775(f104(f857(x78801,a844)),x78802),x78803),f180(f857(x78801,a844)))+~E(f775(f775(f104(f857(x78801,a844)),f44(f857(x78801,a844),x78804)),x78803),f180(f857(x78801,a844)))+~P1(f775(f775(f334(f857(x78801,a844)),x78802),x78804))
% 184.29/184.10 [7957]P1(f775(f775(f334(x79571),x79572),x79573))+~P1(f775(f775(f232(f857(x79571,a844)),x79573),f775(f775(f302(x79571),x79572),x79574)))+P1(f775(f775(f232(f857(x79571,a844)),x79573),x79574))
% 184.29/184.10 [7977]P1(f775(f775(f334(x79772),f724(x79771,x79773,x79772)),f775(f158(x79772),x79773)))+P1(f775(x79771,f775(f775(f153(x79772),x79773),x79774)))+~P1(f775(f775(f233(a850),x79774),f775(f181(f851(x79772)),x79773)))
% 184.29/184.10 [7985]~P1(f775(f775(f233(f857(x79851,a844)),x79852),x79854))+P1(f775(f775(f233(f857(x79851,a844)),x79852),x79853))+~P1(f775(f775(f233(f857(x79851,a844)),x79854),x79853))
% 184.29/184.10 [7986]~P1(f775(f775(f232(f857(x79861,a844)),x79862),x79864))+P1(f775(f775(f233(f857(x79861,a844)),x79862),x79863))+~P1(f775(f775(f233(f857(x79861,a844)),x79864),x79863))
% 184.29/184.10 [7987]~P1(f775(f775(f232(f857(x79871,a844)),x79874),x79873))+~P1(f775(f775(f233(f857(x79871,a844)),x79872),x79874))+P1(f775(f775(f233(f857(x79871,a844)),x79872),x79873))
% 184.29/184.10 [7988]~P1(f775(f775(f232(f857(x79881,a844)),x79882),x79884))+P1(f775(f775(f232(f857(x79881,a844)),x79882),x79883))+~P1(f775(f775(f232(f857(x79881,a844)),x79884),x79883))
% 184.29/184.10 [8024]~P1(f775(f775(f334(x80241),x80244),x80243))+~P1(f775(f775(f233(f857(x80241,a844)),x80242),f775(f775(f302(x80241),x80244),x80243)))+P1(f775(f775(f233(f857(x80241,a844)),x80242),x80243))
% 184.29/184.10 [8037]~P74(x80371)+P1(f775(f775(f233(x80371),x80372),x80373))+~P1(f775(f775(f233(x80371),f775(f775(f82(x80371),x80374),x80372)),f775(f775(f82(x80371),x80374),x80373)))
% 184.29/184.10 [8039]~P74(x80391)+P1(f775(f775(f233(x80391),x80392),x80393))+~P1(f775(f775(f233(x80391),f775(f775(f82(x80391),x80392),x80394)),f775(f775(f82(x80391),x80393),x80394)))
% 184.29/184.10 [8041]~P74(x80411)+P1(f775(f775(f232(x80411),x80412),x80413))+~P1(f775(f775(f232(x80411),f775(f775(f82(x80411),x80414),x80412)),f775(f775(f82(x80411),x80414),x80413)))
% 184.29/184.10 [8043]~P74(x80431)+P1(f775(f775(f232(x80431),x80432),x80433))+~P1(f775(f775(f232(x80431),f775(f775(f82(x80431),x80432),x80434)),f775(f775(f82(x80431),x80433),x80434)))
% 184.29/184.10 [8207]P1(f775(x82071,x82072))+~P1(f775(f775(f334(x82073),x82072),f775(f158(x82073),x82074)))+P1(f775(f775(f233(a850),f775(f181(f851(x82073)),f775(f126(x82073,x82071),x82074))),f775(f181(f851(x82073)),x82074)))
% 184.29/184.10 [8337]E(x83371,x83372)+P1(f775(f775(f187(x83373),x83371),f422(x83372,x83371,x83373,x83374)))+~P1(f775(f775(f187(f35(x83374,x83373)),x83371),x83372))
% 184.29/184.10 [8338]E(x83381,x83382)+P1(f775(f775(f187(x83383),x83381),f528(x83382,x83381,x83383,x83384)))+~P1(f775(f775(f187(f35(x83384,x83383)),x83381),x83382))
% 184.29/184.10 [8365]~P1(f775(x83654,x83652))+P1(f775(f775(f187(x83651),x83652),f422(x83653,x83652,x83651,x83654)))+~P1(f775(f775(f187(f35(x83654,x83651)),x83652),x83653))
% 184.29/184.10 [8366]~P1(f775(x83664,x83662))+P1(f775(f775(f187(x83661),x83662),f528(x83663,x83662,x83661,x83664)))+~P1(f775(f775(f187(f35(x83664,x83661)),x83662),x83663))
% 184.29/184.10 [8690]~P29(x86904,x86903,x86901,f239(f857(x86904,a844)))+E(f775(x86901,f523(x86902,x86901,x86903,x86904)),x86902)+~P1(f775(f775(f334(x86903),x86902),f775(f303(x86904,x86903,x86901),f239(f857(x86904,a844)))))
% 184.29/184.10 [8828]~P1(f775(f63(x88281),x88284))+P1(f775(f775(f334(x88281),f561(x88282,x88283,x88284,x88281)),x88284))+P1(f775(f63(f856(x88281,x88283)),f775(f775(f248(x88281,x88283),x88284),x88282)))
% 184.29/184.10 [8872]E(x88721,x88722)+P1(f775(f775(f187(f35(x88723,x88724)),f422(x88721,x88722,x88724,x88723)),x88721))+~P1(f775(f775(f187(f35(x88723,x88724)),x88722),x88721))
% 184.29/184.10 [8873]E(x88731,x88732)+P1(f775(f775(f187(f35(x88733,x88734)),f528(x88731,x88732,x88734,x88733)),x88731))+~P1(f775(f775(f187(f35(x88733,x88734)),x88732),x88731))
% 184.29/184.10 [8893]~P1(f775(x88931,x88934))+P1(f775(f775(f187(f35(x88931,x88932)),f422(x88933,x88934,x88932,x88931)),x88933))+~P1(f775(f775(f187(f35(x88931,x88932)),x88934),x88933))
% 184.29/184.10 [8894]~P1(f775(x88941,x88944))+P1(f775(f775(f187(f35(x88941,x88942)),f528(x88943,x88944,x88942,x88941)),x88943))+~P1(f775(f775(f187(f35(x88941,x88942)),x88944),x88943))
% 184.29/184.10 [9133]~P1(f775(f63(x91331),x91333))+~P1(f775(f63(x91332),f775(x91334,f561(x91334,x91332,x91333,x91331))))+P1(f775(f63(f856(x91331,x91332)),f775(f775(f248(x91331,x91332),x91333),x91334)))
% 184.29/184.10 [9147]~E(f775(f181(f851(x91474)),x91472),f775(f181(f851(x91474)),x91473))+P1(f775(f775(f334(f856(f851(x91474),f851(x91474))),f775(f775(f241(f851(x91474),f851(x91474)),x91473),x91472)),f147(x91474,x91471)))+P1(f775(f775(f233(a850),f732(x91471,x91472,x91473,x91474)),f775(f181(f851(x91474)),x91473)))
% 184.29/184.10 [9260]E(f775(f775(f159(x92601),f739(x92602,x92603,x92604,x92601)),x92603),f775(f775(f159(x92601),f739(x92602,x92603,x92604,x92601)),x92604))+~P1(f775(f775(f334(f856(f851(x92601),f851(x92601))),f775(f775(f241(f851(x92601),f851(x92601)),x92604),x92603)),f137(x92601,x92602)))+P1(f775(f775(f233(a850),f775(f181(f851(x92601)),x92604)),f775(f181(f851(x92601)),x92603)))
% 184.29/184.10 [9318]~P1(f775(f775(f233(a850),f2(a850)),x93183))+~P1(f775(f775(f233(a850),x93184),x93181))+P1(f775(f775(f233(a850),f775(f775(f82(a850),f775(f775(f83(a850),x93181),f52(a850,x93182,x93183))),x93184)),f775(f775(f83(a850),x93181),x93183)))
% 184.29/184.10 [9500]~P102(x95002)+~P1(f775(f775(f232(x95002),f775(x95003,f704(x95004,x95003,x95001,x95002))),f775(x95004,f704(x95004,x95003,x95001,x95002))))+P1(f775(f775(f232(f857(x95001,x95002)),x95003),x95004))
% 184.29/184.10 [9591]~P6(x95911)+E(f775(f775(f8(a850,x95911),f775(f775(f20(a850,x95911,x95911),f775(f775(f10(x95911,f857(x95911,x95911),a850),f3(x95911)),x95912)),f775(f775(f10(a850,x95911,a850),x95912),f775(f775(f9(a850,a850,a850),f82(a850)),f80(a850))))),f295(a850,x95913,x95914)),f775(f775(f3(x95911),f775(x95912,x95913)),f775(x95912,f775(f775(f82(a850),x95914),f80(a850)))))+~P1(f775(f775(f232(a850),x95913),x95914))
% 184.29/184.10 [6633]~P7(x66331)+E(f775(f775(f43(x66331),f775(f775(f83(x66331),x66332),x66333)),x66334),f775(f775(f83(x66331),x66332),f775(f775(f43(x66331),x66333),x66334)))+~P1(f775(f775(f279(x66331),x66334),x66333))
% 184.29/184.10 [6724]E(f775(f775(f125(x67241),x67242),x67243),x67244)+~E(x67243,f775(f775(f128(x67241),f775(f181(f851(x67241)),x67242)),x67244))+~E(f775(f775(f159(x67241),f775(f181(f851(x67241)),x67242)),x67244),x67242)
% 184.29/184.10 [6785]~P61(x67852)+E(x67851,f2(x67852))+E(f775(f775(f283(x67852),f775(f775(f242(x67852),x67853),x67854)),f775(f775(f242(x67852),x67851),x67854)),f775(f775(f242(x67852),f775(f775(f283(x67852),x67853),x67851)),x67854))
% 184.29/184.10 [6936]~P7(x69361)+E(f775(f775(f43(x69361),f775(f775(f83(x69361),x69362),x69363)),x69364),f775(f775(f83(x69361),f775(f775(f43(x69361),x69362),x69364)),x69363))+~P1(f775(f775(f279(x69361),x69364),x69362))
% 184.29/184.10 [6946]~P100(x69461)+~P1(f775(f775(f233(x69461),x69463),x69464))+P1(f775(f775(f233(x69461),f775(f775(f236(x69461),x69462),x69463)),x69464))
% 184.29/184.10 [6948]~P100(x69481)+~P1(f775(f775(f233(x69481),x69482),x69484))+P1(f775(f775(f233(x69481),f775(f775(f236(x69481),x69482),x69483)),x69484))
% 184.29/184.10 [6949]~P98(x69491)+~P1(f775(f775(f233(x69491),x69493),x69494))+P1(f775(f775(f233(x69491),f775(f775(f104(x69491),x69492),x69493)),x69494))
% 184.29/184.10 [6950]~P98(x69501)+~P1(f775(f775(f233(x69501),x69502),x69504))+P1(f775(f775(f233(x69501),f775(f775(f104(x69501),x69502),x69503)),x69504))
% 184.29/184.10 [6952]~P100(x69521)+~P1(f775(f775(f232(x69521),x69523),x69524))+P1(f775(f775(f232(x69521),f775(f775(f236(x69521),x69522),x69523)),x69524))
% 184.29/184.10 [6954]~P100(x69541)+~P1(f775(f775(f232(x69541),x69542),x69544))+P1(f775(f775(f232(x69541),f775(f775(f236(x69541),x69542),x69543)),x69544))
% 184.29/184.10 [6955]~P98(x69551)+~P1(f775(f775(f232(x69551),x69553),x69554))+P1(f775(f775(f232(x69551),f775(f775(f104(x69551),x69552),x69553)),x69554))
% 184.29/184.10 [6956]~P98(x69561)+~P1(f775(f775(f232(x69561),x69562),x69564))+P1(f775(f775(f232(x69561),f775(f775(f104(x69561),x69562),x69563)),x69564))
% 184.29/184.10 [6973]~P1(f775(x69733,x69734))+~P1(f775(x69732,x69734))+P1(f775(f775(f775(f104(f857(x69731,a844)),x69732),x69733),x69734))
% 184.29/184.10 [7005]~E(f775(f181(f851(x70051)),x70053),f775(f181(f851(x70052)),x70054))+~P1(f775(f127(x70051),x70053))+E(f169(x70051,x70052,f166(x70051,x70052,f775(f775(f167(x70051,x70052),x70053),x70054))),f775(f158(x70051),x70053))
% 184.29/184.10 [7100]P28(x71001,x71002,x71003)+~P28(x71001,x71004,x71003)+~P1(f775(f775(f232(f857(f849(x71001),a844)),x71004),x71002))
% 184.29/184.10 [7101]P28(x71011,x71012,x71013)+~P28(x71011,x71012,x71014)+~P1(f775(f775(f232(f857(f849(x71011),a844)),x71013),x71014))
% 184.29/184.10 [7239]~P7(x72391)+E(f775(f775(f43(x72391),f775(f775(f242(x72391),x72392),x72393)),f775(f775(f242(x72391),x72394),x72393)),f775(f775(f242(x72391),f775(f775(f43(x72391),x72392),x72394)),x72393))+~P1(f775(f775(f279(x72391),x72394),x72392))
% 184.29/184.10 [7494]~P66(x74941)+E(f775(f775(f82(x74941),f775(x74942,x74943)),f775(f775(f8(a850,x74941),x74942),f775(f294(a850,f775(a114,x74943)),x74944))),f775(f775(f8(a850,x74941),x74942),f775(f294(a850,x74943),x74944)))+~P1(f775(f775(f233(a850),x74943),x74944))
% 184.29/184.10 [7522]~P100(x75221)+P1(f775(f775(f233(x75221),x75222),x75223))+~P1(f775(f775(f233(x75221),f775(f775(f179(x75221),x75224),x75222)),x75223))
% 184.29/184.10 [7523]~P100(x75231)+P1(f775(f775(f233(x75231),x75232),x75233))+~P1(f775(f775(f233(x75231),f775(f775(f179(x75231),x75232),x75234)),x75233))
% 184.29/184.10 [7525]~P100(x75251)+P1(f775(f775(f232(x75251),x75252),x75253))+~P1(f775(f775(f232(x75251),f775(f775(f179(x75251),x75254),x75252)),x75253))
% 184.29/184.10 [7527]~P100(x75271)+P1(f775(f775(f232(x75271),x75272),x75273))+~P1(f775(f775(f232(x75271),f775(f775(f179(x75271),x75272),x75274)),x75273))
% 184.29/184.10 [7529]~P92(x75291)+P1(f775(f775(f232(x75291),x75292),x75293))+~P1(f775(f775(f232(x75291),f775(f775(f103(x75291),x75294),x75292)),x75293))
% 184.29/184.10 [7531]~P92(x75311)+P1(f775(f775(f232(x75311),x75312),x75313))+~P1(f775(f775(f232(x75311),f775(f775(f103(x75311),x75312),x75314)),x75313))
% 184.29/184.10 [7532]~P85(x75321)+P1(f775(f775(f279(x75321),x75322),x75323))+~P1(f775(f775(f279(x75321),f775(f775(f83(x75321),x75324),x75322)),x75323))
% 184.29/184.10 [7533]~P85(x75331)+P1(f775(f775(f279(x75331),x75332),x75333))+~P1(f775(f775(f279(x75331),f775(f775(f83(x75331),x75332),x75334)),x75333))
% 184.29/184.10 [7611]~P1(f775(f775(f334(x76111),x76112),x76114))+P1(f775(f775(f334(x76111),x76112),x76113))+P1(f775(f775(f334(x76111),x76112),f775(f775(f3(f857(x76111,a844)),x76114),x76113)))
% 184.29/184.10 [7691]P1(f775(x76911,x76912))+P1(f775(x76913,x76912))+~P1(f775(f775(f775(f103(f857(x76914,a844)),x76913),x76911),x76912))
% 184.29/184.10 [7701]~P1(f775(f775(f334(x77011),x77012),x77014))+~P1(f775(f775(f334(x77011),x77012),x77013))+P1(f775(f775(f334(x77011),x77012),f775(f775(f104(f857(x77011,a844)),x77013),x77014)))
% 184.29/184.10 [7757]~P100(x77571)+~P1(f775(f63(x77571),x77574))+E(f775(f775(f66(x77571,x77571,f236(x77571)),x77572),f775(f775(f302(x77571),x77573),x77574)),f775(f775(f236(x77571),x77573),f775(f775(f66(x77571,x77571,f236(x77571)),x77572),x77574)))
% 184.29/184.10 [7758]~P100(x77581)+~P1(f775(f63(x77581),x77584))+E(f775(f775(f66(x77581,x77581,f179(x77581)),x77582),f775(f775(f302(x77581),x77583),x77584)),f775(f775(f179(x77581),x77583),f775(f775(f66(x77581,x77581,f179(x77581)),x77582),x77584)))
% 184.29/184.10 [7759]~P92(x77591)+~P1(f775(f63(x77591),x77594))+E(f775(f775(f66(x77591,x77591,f103(x77591)),x77592),f775(f775(f302(x77591),x77593),x77594)),f775(f775(f103(x77591),x77593),f775(f775(f66(x77591,x77591,f103(x77591)),x77592),x77594)))
% 184.29/184.10 [7760]~P98(x77601)+~P1(f775(f63(x77601),x77604))+E(f775(f775(f66(x77601,x77601,f104(x77601)),x77602),f775(f775(f302(x77601),x77603),x77604)),f775(f775(f104(x77601),x77603),f775(f775(f66(x77601,x77601,f104(x77601)),x77602),x77604)))
% 184.29/184.10 [7762]~P135(x77621)+~P89(x77621)+E(f775(f775(f82(x77621),f775(f775(f83(x77621),f775(f106(x77621),x77622)),x77623)),f775(f775(f83(x77621),f775(f106(x77621),x77622)),x77624)),f775(f775(f83(x77621),f775(f106(x77621),x77622)),f775(f775(f82(x77621),x77623),x77624)))
% 184.29/184.10 [7763]~P121(x77631)+~P89(x77631)+E(f775(f775(f3(x77631),f775(f775(f83(x77631),f775(f106(x77631),x77632)),x77633)),f775(f775(f83(x77631),f775(f106(x77631),x77632)),x77634)),f775(f775(f83(x77631),f775(f106(x77631),x77632)),f775(f775(f3(x77631),x77633),x77634)))
% 184.29/184.10 [7876]E(x78761,x78762)+P1(f775(f775(f334(x78763),x78761),f775(f158(x78763),x78764)))+~P1(f775(f775(f334(x78763),x78761),f775(f158(x78763),f775(f775(f140(x78763),x78762),x78764))))
% 184.29/184.10 [8047]P53(x80471,x80472,x80473)+~P53(x80471,x80472,x80474)+~P1(f775(f775(f232(f857(f856(x80471,x80472),a844)),x80473),x80474))
% 184.29/184.10 [8090]P1(f775(f775(f334(x80901),x80902),x80903))+P1(f775(f775(f334(x80901),x80902),x80904))+~P1(f775(f775(f334(x80901),x80902),f775(f775(f103(f857(x80901,a844)),x80904),x80903)))
% 184.29/184.10 [8101]~P47(x81011,x81014,x81013)+~P1(f775(f775(f334(x81011),x81012),x81014))+P1(f775(f775(f334(f856(x81011,x81011)),f775(f775(f241(x81011,x81011),x81012),x81012)),x81013))
% 184.29/184.10 [8113]~P1(f775(f63(x81132),x81134))+~P1(f775(f63(x81131),x81133))+P1(f775(f63(f856(x81131,x81132)),f775(f775(f248(x81131,x81132),x81133),f775(f18(f857(x81132,a844),x81131),x81134))))
% 184.29/184.10 [8114]~P1(f775(f775(f334(x81141),x81142),x81144))+~P1(f775(f775(f232(f857(x81141,a844)),x81143),x81144))+P1(f775(f775(f232(f857(x81141,a844)),f775(f775(f302(x81141),x81142),x81143)),x81144))
% 184.29/184.10 [8122]~P2(x81222)+~P70(x81222)+E(f775(f775(f11(x81221,x81222),f775(f775(f10(a850,x81222,x81221),f102(x81222)),x81223)),x81224),f775(f102(x81222),f775(f775(f11(x81221,a850),x81223),x81224)))
% 184.29/184.10 [8123]~P70(x81232)+~P133(x81232)+E(f775(f775(f11(x81231,x81232),f775(f775(f10(a1,x81232,x81231),f105(x81232)),x81233)),x81234),f775(f105(x81232),f775(f775(f11(x81231,a1),x81233),x81234)))
% 184.29/184.10 [8149]E(f775(f775(f3(f857(x81491,a844)),x81492),f775(f775(f3(f857(x81491,a844)),x81493),x81494)),x81494)+~P1(f775(f775(f232(f857(x81491,a844)),x81492),x81493))+~P1(f775(f775(f232(f857(x81491,a844)),x81494),x81492))
% 184.29/184.10 [8241]~P1(f775(f63(x82411),x82414))+E(f775(f775(f3(a850),f775(f775(f8(x82411,a850),x82412),x82413)),f775(f775(f8(x82411,a850),x82412),x82414)),f775(f775(f8(x82411,a850),x82412),f775(f775(f3(f857(x82411,a844)),x82413),x82414)))+~P1(f775(f775(f232(f857(x82411,a844)),x82414),x82413))
% 184.29/184.10 [8398]~P12(x83981,x83984,x83983)+~P1(f775(f775(f334(x83981),x83982),x83984))+P1(f775(f775(f334(x83981),x83982),f775(f277(x83981,x83981,x83983),f775(f775(f302(x83981),x83982),f180(f857(x83981,a844))))))
% 184.29/184.10 [8461]~P1(f775(f775(f232(f857(x84611,a844)),x84612),x84613))+~P1(f775(f775(f232(f857(x84611,a844)),x84612),x84614))+P1(f775(f775(f232(f857(x84611,a844)),x84612),f775(f775(f104(f857(x84611,a844)),x84613),x84614)))
% 184.29/184.10 [8553]E(x85531,f180(f857(x85532,a844)))+P1(f775(f63(x85533),x85534))+~P1(f775(f63(f856(x85533,x85532)),f775(f775(f248(x85533,x85532),x85534),f775(f18(f857(x85532,a844),x85533),x85531))))
% 184.29/184.10 [8554]E(x85541,f180(f857(x85542,a844)))+P1(f775(f63(x85543),x85544))+~P1(f775(f63(f856(x85542,x85543)),f775(f775(f248(x85542,x85543),x85541),f775(f18(f857(x85543,a844),x85542),x85544))))
% 184.29/184.10 [8612]P1(f775(f775(f334(x86121),x86122),f322(x86121,x86123)))+~P1(f775(f775(f334(x86121),x86124),f322(x86121,x86123)))+~P1(f775(f775(f334(f856(x86121,x86121)),f775(f775(f241(x86121,x86121),x86122),x86124)),x86123))
% 184.29/184.10 [8664]~P36(x86641,x86644)+P1(f775(f775(f334(f856(x86641,x86641)),f775(f775(f241(x86641,x86641),x86643),x86642)),f300(x86641,x86644)))+P36(x86641,f775(f775(f302(f856(x86641,x86641)),f775(f775(f241(x86641,x86641),x86642),x86643)),x86644))
% 184.29/184.10 [8665]~P56(x86651,x86654)+P1(f775(f775(f334(f856(x86651,x86651)),f775(f775(f241(x86651,x86651),x86653),x86652)),f300(x86651,x86654)))+P56(x86651,f775(f775(f302(f856(x86651,x86651)),f775(f775(f241(x86651,x86651),x86652),x86653)),x86654))
% 184.29/184.10 [8736]~E(x87362,x87363)+~P1(f775(f775(f334(x87361),x87362),f775(f158(x87361),x87364)))+P1(f775(f775(f334(f856(x87361,x87361)),f775(f775(f241(x87361,x87361),x87362),x87363)),f775(f158(f856(x87361,x87361)),f775(f775(f167(x87361,x87361),x87364),x87364))))
% 184.29/184.10 [8808]~E(x88083,x88084)+P1(f775(f775(f251(x88081,x88081,a844),a330),x88082))+~P1(f775(f775(f334(f856(x88081,x88081)),x88082),f775(f158(f856(x88081,x88081)),f775(f775(f167(x88081,x88081),x88083),x88084))))
% 184.29/184.10 [8844]P1(f775(f775(f334(f856(f851(x88441),f851(x88441))),f775(f775(f241(f851(x88441),f851(x88441)),x88442),x88443)),f137(x88441,x88444)))+~E(f775(f775(f159(x88441),f775(f181(f851(x88441)),x88442)),x88443),x88442)+~P1(f775(f775(f233(a850),f775(f181(f851(x88441)),x88442)),f775(f181(f851(x88441)),x88443)))
% 184.29/184.10 [8938]~P1(f775(f63(x89381),x89384))+P1(f775(f775(f334(x89381),f412(x89382,x89383,x89384,x89381)),x89384))+P1(f775(f63(x89383),f775(f775(f46(x89381,f857(x89383,a844)),x89384),x89382)))
% 184.29/184.10 [8939]~P1(f775(f63(x89391),x89394))+P1(f775(f775(f334(x89391),f608(x89392,x89393,x89394,x89391)),x89394))+P1(f775(f63(x89393),f775(f775(f46(x89391,f857(x89393,a844)),x89394),x89392)))
% 184.29/184.10 [9019]P1(f775(f775(f334(f856(x90191,x90191)),x90192),f775(f775(f281(x90191,x90191,x90191),x90193),f300(x90191,x90193))))+~P1(f775(f775(f233(a850),f2(a850)),x90194))+~P1(f775(f775(f334(f856(x90191,x90191)),x90192),f775(f775(f173(f856(x90191,x90191),a844),x90194),x90193)))
% 184.29/184.10 [9027]~P36(x90271,x90272)+~P1(f775(f775(f334(f856(x90271,x90271)),f775(f775(f241(x90271,x90271),x90274),x90273)),x90272))+~P1(f775(f775(f334(f856(x90271,x90271)),f775(f775(f241(x90271,x90271),x90273),x90274)),x90272))
% 184.29/184.10 [9143]~P1(f775(f63(x91431),x91434))+E(f775(f775(f8(x91431,a850),f775(f775(f10(f857(x91432,a844),a850,x91431),f42(x91432)),x91433)),x91434),f775(f42(f856(x91431,x91432)),f775(f775(f248(x91431,x91432),x91434),x91433)))+P1(f775(f775(f334(x91431),f562(x91433,x91432,x91434,x91431)),x91434))
% 184.29/184.10 [9145]~P1(f775(f127(x91451),x91452))+P1(f775(f127(x91451),f775(f775(f148(x91451,x91452),x91453),x91454)))+P1(f775(f775(f334(x91451),x91454),f775(f775(f3(f857(x91451,a844)),f775(f158(x91451),x91452)),f775(f775(f302(x91451),f775(f775(f153(x91451),x91452),x91453)),f180(f857(x91451,a844))))))
% 184.29/184.10 [9154]~P1(f775(f63(x91542),x91543))+~P1(f775(f63(x91541),f775(x91544,f412(x91544,x91541,x91543,x91542))))+P1(f775(f63(x91541),f775(f775(f46(x91542,f857(x91541,a844)),x91543),x91544)))
% 184.29/184.10 [9155]~P1(f775(f63(x91552),x91553))+~P1(f775(f63(x91551),f775(x91554,f608(x91554,x91551,x91553,x91552))))+P1(f775(f63(x91551),f775(f775(f46(x91552,f857(x91551,a844)),x91553),x91554)))
% 184.29/184.10 [9220]~P1(f775(f775(f334(f856(x92201,x92201)),x92202),f775(f775(f281(x92201,x92201,x92201),x92204),f300(x92201,x92204))))+P1(f775(f775(f334(f856(x92201,x92201)),x92202),f775(f775(f281(x92201,x92201,x92201),x92203),f300(x92201,x92203))))+~P1(f775(f775(f232(f857(f856(x92201,x92201),a844)),x92204),x92203))
% 184.29/184.10 [9228]E(f775(f775(f159(x92281),f739(x92284,x92283,x92282,x92281)),x92283),f775(f775(f159(x92281),f739(x92284,x92283,x92282,x92281)),x92282))+~P1(f775(f775(f334(f856(f851(x92281),f851(x92281))),f775(f775(f241(f851(x92281),f851(x92281)),x92282),x92283)),f137(x92281,x92284)))+E(f775(f775(f159(x92281),f775(f181(f851(x92281)),x92282)),x92283),x92282)
% 184.29/184.10 [9244]~P1(f775(f63(x92441),x92444))+E(f775(f775(f8(x92441,a850),f775(f775(f10(f857(x92442,a844),a850,x92441),f42(x92442)),x92443)),x92444),f775(f42(f856(x92441,x92442)),f775(f775(f248(x92441,x92442),x92444),x92443)))+~P1(f775(f63(x92442),f775(x92443,f562(x92443,x92442,x92444,x92441))))
% 184.29/184.10 [9249]~E(f775(f181(f851(x92491)),x92493),f775(f181(f851(x92491)),x92492))+P1(f775(f775(f334(f856(f851(x92491),f851(x92491))),f775(f775(f241(f851(x92491),f851(x92491)),x92492),x92493)),f147(x92491,x92494)))+P1(f775(f775(f334(f856(x92491,x92491)),f716(x92494,x92493,x92492,x92491)),f775(f158(f856(x92491,x92491)),f775(f775(f167(x92491,x92491),x92492),x92493))))
% 184.29/184.10 [9331]~P1(f775(f775(f334(f856(f851(x93311),f851(x93311))),f775(f775(f241(f851(x93311),f851(x93311)),x93312),x93313)),f137(x93311,x93314)))+E(f775(f775(f159(x93311),f775(f181(f851(x93311)),x93312)),x93313),x93312)+P1(f775(f775(f233(a850),f739(x93314,x93313,x93312,x93311)),f775(f775(f236(a850),f775(f181(f851(x93311)),x93312)),f775(f181(f851(x93311)),x93313))))
% 184.29/184.10 [9350]~P1(f775(f775(f334(f856(f851(x93501),f851(x93501))),f775(f775(f241(f851(x93501),f851(x93501)),x93502),x93503)),f137(x93501,x93504)))+P1(f775(f775(f233(a850),f775(f181(f851(x93501)),x93502)),f775(f181(f851(x93501)),x93503)))+P1(f775(f775(f233(a850),f739(x93504,x93503,x93502,x93501)),f775(f775(f236(a850),f775(f181(f851(x93501)),x93502)),f775(f181(f851(x93501)),x93503))))
% 184.29/184.10 [9626]~P1(f775(f775(f775(x96261,f707(x96261,x96264,x96263,x96262)),f710(x96261,x96264,x96263,x96262)),f711(x96261,x96264,x96263,x96262)))+P1(f775(f775(f775(x96261,x96262),x96263),x96264))+~P1(f775(f321(f856(f857(a1,f854(f851(a842))),f856(a1,a1)),a311),f775(f775(f241(f857(a1,f854(f851(a842))),f856(a1,a1)),x96262),f775(f775(f241(a1,a1),x96263),x96264))))
% 184.29/184.10 [9687]P1(f775(f775(f775(x96871,x96872),x96873),x96874))+P1(f775(f321(f856(f857(a1,f854(f851(a842))),f856(a1,a1)),a311),f775(f775(f241(f857(a1,f854(f851(a842))),f856(a1,a1)),f707(x96871,x96874,x96873,x96872)),f775(f775(f241(a1,a1),f710(x96871,x96874,x96873,x96872)),f711(x96871,x96874,x96873,x96872)))))+~P1(f775(f321(f856(f857(a1,f854(f851(a842))),f856(a1,a1)),a311),f775(f775(f241(f857(a1,f854(f851(a842))),f856(a1,a1)),x96872),f775(f775(f241(a1,a1),x96873),x96874))))
% 184.29/184.10 [9725]~P1(f775(f775(f334(f856(f851(x97251),f851(x97251))),f775(f775(f241(f851(x97251),f851(x97251)),x97252),x97253)),f137(x97251,x97254)))+E(f775(f775(f159(x97251),f775(f181(f851(x97251)),x97252)),x97253),x97252)+P1(f775(f775(f334(f856(x97251,x97251)),f775(f775(f241(x97251,x97251),f775(f775(f153(x97251),x97252),f739(x97254,x97253,x97252,x97251))),f775(f775(f153(x97251),x97253),f739(x97254,x97253,x97252,x97251)))),x97254))
% 184.29/184.10 [9728]~P1(f775(f775(f334(f856(f851(x97281),f851(x97281))),f775(f775(f241(f851(x97281),f851(x97281)),x97282),x97283)),f137(x97281,x97284)))+P1(f775(f775(f233(a850),f775(f181(f851(x97281)),x97282)),f775(f181(f851(x97281)),x97283)))+P1(f775(f775(f334(f856(x97281,x97281)),f775(f775(f241(x97281,x97281),f775(f775(f153(x97281),x97282),f739(x97284,x97283,x97282,x97281))),f775(f775(f153(x97281),x97283),f739(x97284,x97283,x97282,x97281)))),x97284))
% 184.29/184.10 [9798]~E(f775(f181(f851(x97981)),x97982),f775(f181(f851(x97981)),x97983))+P1(f775(f775(f334(f856(f851(x97981),f851(x97981))),f775(f775(f241(f851(x97981),f851(x97981)),x97982),x97983)),f147(x97981,x97984)))+~P1(f775(f775(f334(f856(x97981,x97981)),f775(f775(f241(x97981,x97981),f775(f775(f153(x97981),x97982),f732(x97984,x97983,x97982,x97981))),f775(f775(f153(x97981),x97983),f732(x97984,x97983,x97982,x97981)))),x97984))
% 184.29/184.10 [9938]~P66(x99381)+~P1(f775(f63(x99382),x99384))+E(f775(f155(x99381),f775(f775(f143(x99382,x99381),x99383),f92(f851(x99382),f775(f775(f20(f851(x99382),a844,a844),f775(f775(f10(a844,f857(a844,a844),f851(x99382)),a331),f775(f775(f9(f851(x99382),f857(x99382,a844),a844),f775(f775(f10(f857(x99382,a844),f857(f857(x99382,a844),a844),f851(x99382)),a330),f158(x99382))),x99384))),f127(x99382))))),f225(x99382,x99381,x99383,x99384))
% 184.29/184.10 [7330]~P60(x73302)+E(x73301,f2(x73302))+E(f775(f775(f283(x73302),f775(f775(f82(x73302),x73303),f775(f775(f83(x73302),x73304),x73301))),x73301),f775(f775(f82(x73302),x73304),f775(f775(f283(x73302),x73303),x73301)))
% 184.29/184.10 [7331]~P7(x73312)+E(x73311,f2(x73312))+E(f775(f775(f43(x73312),f775(f775(f82(x73312),x73313),f775(f775(f83(x73312),x73314),x73311))),x73311),f775(f775(f82(x73312),x73314),f775(f775(f43(x73312),x73313),x73311)))
% 184.29/184.10 [7332]~P7(x73322)+E(x73321,f2(x73322))+E(f775(f775(f43(x73322),f775(f775(f82(x73322),x73323),f775(f775(f83(x73322),x73321),x73324))),x73321),f775(f775(f82(x73322),x73324),f775(f775(f43(x73322),x73323),x73321)))
% 184.29/184.10 [7573]~P60(x75732)+E(x75731,f2(x75732))+E(f775(f775(f283(x75732),f775(f775(f82(x75732),x75733),f775(f775(f83(x75732),x75734),x75731))),x75731),f775(f775(f82(x75732),f775(f775(f283(x75732),x75733),x75731)),x75734))
% 184.29/184.10 [7574]~P61(x75742)+E(x75741,f2(x75742))+E(f775(f775(f283(x75742),f775(f775(f82(x75742),x75743),f775(f775(f83(x75742),x75741),x75744))),x75741),f775(f775(f82(x75742),f775(f775(f283(x75742),x75743),x75741)),x75744))
% 184.29/184.10 [7575]~P61(x75752)+E(x75751,f2(x75752))+E(f775(f775(f283(x75752),f775(f775(f3(x75752),x75753),f775(f775(f83(x75752),x75751),x75754))),x75751),f775(f775(f3(x75752),f775(f775(f283(x75752),x75753),x75751)),x75754))
% 184.29/184.10 [8626]~E(f775(f775(f281(x86261,x86261,x86261),x86262),x86264),f180(f857(f856(x86261,x86261),a844)))+~E(f775(f775(f281(x86261,x86261,x86261),x86262),x86263),f180(f857(f856(x86261,x86261),a844)))+E(f775(f775(f281(x86261,x86261,x86261),x86262),f775(f775(f103(f857(f856(x86261,x86261),a844)),x86263),x86264)),f180(f857(f856(x86261,x86261),a844)))
% 184.29/184.10 [8737]~P1(f775(f775(f232(f857(x87371,a844)),x87373),x87374))+~P1(f775(f775(f232(f857(x87371,a844)),x87372),x87374))+P1(f775(f775(f232(f857(x87371,a844)),f775(f775(f103(f857(x87371,a844)),x87372),x87373)),x87374))
% 184.29/184.10 [9077]~P1(f775(f63(x90771),x90774))+~P1(f775(f63(x90771),x90773))+E(f775(f775(f3(a850),f775(f775(f82(a850),f775(f775(f8(x90771,a850),x90772),x90773)),f775(f775(f8(x90771,a850),x90772),x90774))),f775(f775(f8(x90771,a850),x90772),f775(f775(f104(f857(x90771,a844)),x90773),x90774))),f775(f775(f8(x90771,a850),x90772),f775(f775(f103(f857(x90771,a844)),x90773),x90774)))
% 184.29/184.10 [9152]~P1(f775(f775(f334(x91521),x91523),x91522))+~P1(f775(f775(f232(f857(x91521,a844)),x91522),f775(f775(f302(x91521),x91523),x91524)))+P1(f775(f775(f232(f857(x91521,a844)),f775(f775(f3(f857(x91521,a844)),x91522),f775(f775(f302(x91521),x91523),f180(f857(x91521,a844))))),x91524))
% 184.29/184.10 [9303]~P1(f775(f775(f334(x93031),x93033),x93032))+P1(f775(f775(f232(f857(x93031,a844)),x93032),f775(f775(f302(x93031),x93033),x93034)))+~P1(f775(f775(f232(f857(x93031,a844)),f775(f775(f3(f857(x93031,a844)),x93032),f775(f775(f302(x93031),x93033),f180(f857(x93031,a844))))),x93034))
% 184.29/184.10 [9388]~P1(f775(f775(f233(a850),x93882),x93884))+~P1(f775(f775(f232(a850),x93881),x93883))+P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),f775(f775(f241(a850,a850),x93881),x93882)),f775(f775(f241(a850,a850),x93883),x93884))),a40))
% 184.29/184.10 [9389]~P1(f775(f775(f232(a850),x93892),x93894))+~P1(f775(f775(f232(a850),x93891),x93893))+P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),f775(f775(f241(a850,a850),x93891),x93892)),f775(f775(f241(a850,a850),x93893),x93894))),a72))
% 184.29/184.10 [9763]~P29(x97631,f857(f857(x97631,a844),a844),f775(f775(f9(x97631,f857(f856(x97631,x97631),a844),f857(f857(x97631,a844),a844)),f775(f775(f10(f857(x97631,a844),f857(f857(f856(x97631,x97631),a844),f857(f857(x97631,a844),a844)),x97631),f61(x97631)),f775(f775(f9(x97631,f857(x97631,a844),f857(x97631,a844)),f302(x97631)),f180(f857(x97631,a844))))),x97633),x97632)+~P1(f775(f775(f334(x97631),x97634),x97632))+E(f775(f775(f3(f857(f857(x97631,a844),a844)),f775(f775(f61(x97631),x97632),x97633)),f775(f775(f61(x97631),f775(f775(f302(x97631),x97634),f180(f857(x97631,a844)))),x97633)),f775(f775(f61(x97631),f775(f775(f3(f857(x97631,a844)),x97632),f775(f775(f302(x97631),x97634),f180(f857(x97631,a844))))),x97633))
% 184.29/184.10 [9902]~P47(x99021,x99022,x99024)+~P1(f775(f775(f334(f856(x99021,x99021)),x99023),x99024))+P1(f775(f775(f251(x99021,x99021,a844),f775(f775(f9(x99021,f857(x99021,a844),f857(x99021,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x99021,a844),f857(x99021,a844)),x99021),f10(a844,a844,x99021)),f775(f775(f10(a844,f857(a844,a844),x99021),a331),f775(f775(f9(x99021,f857(x99021,a844),a844),f334(x99021)),x99022)))),f775(f775(f9(x99021,f857(x99021,a844),a844),f334(x99021)),x99022))),x99023))
% 184.29/184.10 [9912]P1(f775(f63(x99121),x99122))+~P1(f775(f63(x99123),f775(f303(x99121,x99123,x99124),x99122)))+~P1(f775(f63(x99121),f775(f256(x99121),f775(f775(f20(x99121,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99121),a331),f775(f775(f9(x99121,f857(x99121,a844),a844),f334(x99121)),x99122))),f775(f775(f9(x99121,x99123,a844),f775(f775(f10(x99123,f857(x99123,a844),x99121),a330),x99124)),f775(x99124,f599(x99124,x99123,x99122,x99121)))))))
% 184.29/184.10 [8030]~P61(x80302)+E(x80301,f2(x80302))+E(f775(f775(f283(x80302),f775(f775(f82(x80302),f775(f775(f83(x80302),x80301),x80303)),x80304)),x80301),f775(f775(f82(x80302),x80303),f775(f775(f283(x80302),x80304),x80301)))
% 184.29/184.10 [8031]~P61(x80312)+E(x80311,f2(x80312))+E(f775(f775(f283(x80312),f775(f775(f3(x80312),f775(f775(f83(x80312),x80311),x80313)),x80314)),x80311),f775(f775(f3(x80312),x80313),f775(f775(f283(x80312),x80314),x80311)))
% 184.29/184.10 [8871]~E(f775(f775(f281(x88711,x88711,x88711),x88713),x88714),f180(f857(f856(x88711,x88711),a844)))+~E(f775(f775(f281(x88711,x88711,x88711),x88712),x88714),f180(f857(f856(x88711,x88711),a844)))+E(f775(f775(f281(x88711,x88711,x88711),f775(f775(f103(f857(f856(x88711,x88711),a844)),x88712),x88713)),x88714),f180(f857(f856(x88711,x88711),a844)))
% 184.29/184.10 [9846]~P139(x98461)+~P139(x98462)+E(f775(f775(f310(x98461),f775(f775(f9(x98461,a101,f854(f851(a842))),f775(f775(f10(f857(x98462,f854(f851(a842))),f857(a101,f854(f851(a842))),x98461),f310(x98462)),f775(f775(f10(f857(x98462,f856(x98461,x98462)),f857(x98462,f854(f851(a842))),x98461),f775(f10(f856(x98461,x98462),f854(f851(a842)),x98462),x98463)),f241(x98461,x98462)))),x98464)),x98464),f775(f775(f310(f856(x98461,x98462)),x98463),x98464))
% 184.29/184.10 [9838]P1(f775(x98381,f585(x98382,x98383,x98381,x98384)))+~P1(f775(f63(x98384),f775(f256(x98384),x98381)))+P1(f775(f63(x98383),f775(f256(x98383),f775(f775(f10(f857(x98384,a844),a844,x98383),f89(x98384)),f775(f775(f10(f857(x98384,a844),f857(x98384,a844),x98383),f775(f20(x98384,a844,a844),f775(f775(f10(a844,f857(a844,a844),x98384),a331),x98381))),x98382)))))
% 184.29/184.10 [9859]~P1(f775(f63(x98592),f775(f256(x98592),x98593)))+~P1(f775(f63(x98591),f775(f256(x98591),f775(f775(f9(x98591,x98592,a844),x98594),f585(x98594,x98591,x98593,x98592)))))+P1(f775(f63(x98591),f775(f256(x98591),f775(f775(f10(f857(x98592,a844),a844,x98591),f89(x98592)),f775(f775(f10(f857(x98592,a844),f857(x98592,a844),x98591),f775(f20(x98592,a844,a844),f775(f775(f10(a844,f857(a844,a844),x98592),a331),x98593))),x98594)))))
% 184.29/184.10 [5709]~E(x57095,x57092)+P39(f35(x57091,x57093),x57092,x57094,x57095)+P1(f775(x57091,x57092))
% 184.29/184.10 [6277]E(x62771,x62772)+~P39(f35(x62773,x62774),x62771,x62775,x62772)+P1(f775(x62773,x62771))
% 184.29/184.10 [7836]~P39(x78362,x78363,x78364,x78365)+~P39(f35(x78361,x78362),x78365,x78364,x78363)+P39(f35(x78361,x78362),x78363,x78364,x78363)
% 184.29/184.10 [8993]E(x89931,x89932)+~P39(f35(x89935,x89933),x89931,x89934,x89932)+P39(x89933,x89931,x89934,f813(x89932,x89934,x89931,x89933,x89935))
% 184.29/184.10 [8994]E(x89941,x89942)+~P39(f35(x89945,x89943),x89941,x89944,x89942)+P39(x89943,x89941,x89944,f359(x89942,x89944,x89941,x89943,x89945))
% 184.29/184.10 [8996]E(x89961,x89962)+P39(f35(x89963,x89964),f813(x89961,x89965,x89962,x89964,x89963),x89965,x89961)+~P39(f35(x89963,x89964),x89962,x89965,x89961)
% 184.29/184.10 [8997]E(x89971,x89972)+P39(f35(x89973,x89974),f359(x89971,x89975,x89972,x89974,x89973),x89975,x89971)+~P39(f35(x89973,x89974),x89972,x89975,x89971)
% 184.29/184.10 [8999]~P39(f35(x89995,x89991),x89992,x89993,x89994)+P39(x89991,x89992,x89993,f813(x89994,x89993,x89992,x89991,x89995))+~P1(f775(x89995,x89992))
% 184.29/184.10 [9000]~P39(f35(x90005,x90001),x90002,x90003,x90004)+P39(x90001,x90002,x90003,f359(x90004,x90003,x90002,x90001,x90005))+~P1(f775(x90005,x90002))
% 184.29/184.10 [9004]~P39(f35(x90041,x90042),x90045,x90044,x90043)+P39(f35(x90041,x90042),f813(x90043,x90044,x90045,x90042,x90041),x90044,x90043)+~P1(f775(x90041,x90045))
% 184.29/184.10 [9005]~P39(f35(x90051,x90052),x90055,x90054,x90053)+P39(f35(x90051,x90052),f359(x90053,x90054,x90055,x90052,x90051),x90054,x90053)+~P1(f775(x90051,x90055))
% 184.29/184.10 [6427]E(x64271,x64272)+~E(f775(x64273,x64271),f775(x64273,x64272))+~P29(x64274,x64275,x64273,f239(f857(x64274,a844)))
% 184.29/184.10 [6592]~E(f775(x65923,x65925),f183(x65922))+~E(f775(x65924,x65925),f183(x65922))+E(f775(f170(x65921,x65922,x65923,x65924),x65925),f183(x65922))
% 184.29/184.10 [7371]E(x73711,x73712)+~P29(x73713,x73714,x73715,f239(f857(x73713,a844)))+~E(f775(f303(x73713,x73714,x73715),x73711),f775(f303(x73713,x73714,x73715),x73712))
% 184.29/184.10 [7629]P29(x76292,x76293,f522(x76294,x76293,x76292,x76291),x76291)+~E(f775(f303(x76293,x76292,x76295),x76294),x76291)+E(x76291,f180(f857(x76292,a844)))
% 184.29/184.10 [8160]~P1(f775(f775(x81603,x81602),x81605))+~P1(f775(f775(x81603,x81604),x81602))+P1(f775(f775(f334(x81601),x81602),f282(x81601,x81603,x81604,x81605)))
% 184.29/184.10 [8161]~P1(f775(f775(x81613,x81612),x81615))+~P1(f775(f775(x81613,x81614),x81612))+P1(f775(f775(f334(x81611),x81612),f291(x81611,x81613,x81614,x81615)))
% 184.29/184.10 [8699]~P29(x86991,x86993,x86995,f239(f857(x86991,a844)))+~P29(x86993,x86992,x86994,f239(f857(x86993,a844)))+P29(x86991,x86992,f775(f75(x86993,x86992,x86991,x86994),x86995),f239(f857(x86991,a844)))
% 184.29/184.10 [9198]P1(f775(f775(f334(f856(x91981,x91981)),f775(f775(f241(x91981,x91981),x91982),x91983)),f300(x91981,x91984)))+~P1(f775(f775(f334(f856(x91981,x91981)),f775(f775(f241(x91981,x91981),x91982),x91985)),f300(x91981,x91984)))+~P1(f775(f775(f334(f856(x91981,x91981)),f775(f775(f241(x91981,x91981),x91985),x91983)),f300(x91981,x91984)))
% 184.29/184.10 [9235]~P100(x92352)+~P1(f775(f127(x92351),x92355))+P1(f775(f127(x92351),f139(x92351,x92352,x92353,x92354,x92355)))
% 184.29/184.10 [5241]~E(x52412,f115(x52411))+E(f775(f775(f125(x52411),x52412),x52413),f775(f775(f140(x52411),x52414),x52415))+~E(x52413,f775(f775(f140(x52411),x52414),x52415))
% 184.29/184.10 [5242]~E(x52422,f115(x52421))+E(f775(f775(f125(x52421),x52422),x52423),f775(f775(f140(x52421),x52424),x52425))+~E(f775(f775(f140(x52421),x52424),x52425),x52423)
% 184.29/184.10 [6383]~E(f775(f181(f851(x63831)),x63835),f775(f181(f851(x63832)),x63834))+E(f775(f775(f143(f856(x63831,x63832),x63832),f250(x63831,x63832)),x63833),x63834)+~E(f775(f775(f167(x63831,x63832),x63835),x63834),x63833)
% 184.29/184.10 [6384]~E(f775(f181(f851(x63841)),x63844),f775(f181(f851(x63842)),x63845))+E(f775(f775(f143(f856(x63841,x63842),x63841),f240(x63841,x63842)),x63843),x63844)+~E(f775(f775(f167(x63841,x63842),x63844),x63845),x63843)
% 184.29/184.10 [6884]~P100(x68841)+~P18(x68841,f775(f775(f143(x68842,x68841),x68843),x68845))+P18(x68841,f775(f775(f143(x68842,x68841),x68843),f775(f126(x68842,x68844),x68845)))
% 184.29/184.10 [6930]~P1(f775(x69303,x69305))+~P1(f775(f775(x69302,x69304),x69305))+P1(f775(f775(f94(x69301,x69302,x69303),x69304),x69305))
% 184.29/184.10 [7029]~P100(x70291)+P18(x70291,f775(f775(f143(x70292,x70291),x70293),f151(x70292,x70294,x70295)))+~P18(x70291,f775(f775(f143(x70292,x70291),x70293),x70295))
% 184.29/184.10 [7052]~P53(x70523,x70522,x70525)+~P53(x70521,x70523,x70524)+P53(x70521,x70522,f775(f775(f281(x70521,x70523,x70522),x70524),x70525))
% 184.29/184.10 [7143]E(x71431,x71432)+~P29(x71433,x71434,x71435,f239(f857(x71433,a844)))+~E(f775(f775(f143(x71433,x71434),x71435),x71431),f775(f775(f143(x71433,x71434),x71435),x71432))
% 184.29/184.10 [7226]P39(x72261,x72262,x72263,x72264)+~P39(x72261,x72262,x72265,x72264)+~P1(f775(f775(f232(a850),x72265),x72263))
% 184.29/184.10 [7316]~P1(f775(f775(f233(a850),x73161),f775(x73163,x73165)))+P1(f775(f775(f233(a850),x73161),f144(x73162,x73163,x73164)))+~P1(f775(f775(f334(x73162),x73165),f775(f158(x73162),x73164)))
% 184.29/184.10 [7317]~P1(f775(f775(f232(a850),x73171),f775(x73173,x73175)))+P1(f775(f775(f232(a850),x73171),f144(x73172,x73173,x73174)))+~P1(f775(f775(f334(x73172),x73175),f775(f158(x73172),x73174)))
% 184.29/184.10 [7728]~P99(x77281)+P1(f775(f775(f232(f857(x77281,a844)),f295(x77281,x77282,x77283)),f295(x77281,x77284,x77285)))+P1(f775(f775(f232(x77281),x77282),x77283))
% 184.29/184.10 [7755]~P9(x77551)+P1(f775(f775(f232(x77551),f775(f775(f47(x77552,x77551),x77553),x77554)),f775(x77554,x77555)))+~P1(f775(f775(f334(x77552),x77555),x77553))
% 184.29/184.10 [7823]~P29(x78231,x78232,x78234,x78233)+E(f775(f79(x78231,x78232,x78233,x78234),f775(x78234,x78235)),x78235)+~P1(f775(f775(f334(x78231),x78235),x78233))
% 184.29/184.10 [8019]~P1(f775(x80191,x80195))+P1(f775(x80191,f378(x80191,x80192,x80193,x80194)))+~P1(f775(f775(f334(x80194),x80195),x80193))
% 184.29/184.10 [8020]~P1(f775(x80201,x80205))+P1(f775(x80201,f378(x80201,x80202,x80203,x80204)))+~P1(f775(f775(f334(x80204),x80205),x80202))
% 184.29/184.10 [8111]P1(f775(f63(x81111),x81112))+~P1(f775(f63(x81113),x81114))+~P1(f775(f775(f232(f857(x81111,a844)),x81112),f775(f303(x81113,x81111,x81115),x81114)))
% 184.29/184.10 [8272]E(x82721,x82722)+~P29(x82723,x82724,x82725,f775(f775(f103(f857(x82723,a844)),f775(f158(x82723),x82721)),f775(f158(x82723),x82722)))+~E(f775(f775(f143(x82723,x82724),x82725),x82721),f775(f775(f143(x82723,x82724),x82725),x82722))
% 184.29/184.10 [8329]~P99(x83291)+~P1(f775(f775(f233(f857(x83291,a844)),f295(x83291,x83294,x83295)),f295(x83291,x83292,x83293)))+P1(f775(f775(f232(x83291),x83292),x83293))
% 184.29/184.10 [8397]~P29(x83971,x83974,x83975,f239(f857(x83971,a844)))+~P1(f775(f775(f334(x83974),f775(x83975,x83972)),f775(f303(x83971,x83974,x83975),x83973)))+P1(f775(f775(f334(x83971),x83972),x83973))
% 184.29/184.10 [8477]P1(f775(x84771,x84772))+~P1(f775(x84771,f382(x84771,x84773,x84774,x84775)))+~P1(f775(f775(f334(x84775),x84772),x84774))
% 184.29/184.10 [8478]P1(f775(x84781,x84782))+~P1(f775(x84781,f382(x84781,x84783,x84784,x84785)))+~P1(f775(f775(f334(x84785),x84782),x84783))
% 184.29/184.10 [8734]~P29(x87342,x87343,x87341,x87344)+E(f775(x87341,f775(f79(x87342,x87343,x87344,x87341),x87345)),x87345)+~P1(f775(f775(f334(x87343),x87345),f775(f303(x87342,x87343,x87341),x87344)))
% 184.29/184.10 [8818]E(x88181,f115(x88182))+E(f775(f775(f140(x88182),x88183),f731(x88184,x88183,x88185,x88181,x88182)),x88181)+~E(f775(f775(f125(x88182),x88181),x88185),f775(f775(f140(x88182),x88183),x88184))
% 184.29/184.10 [8819]E(x88191,f115(x88192))+E(f775(f775(f140(x88192),x88193),f733(x88194,x88191,x88195,x88193,x88192)),x88191)+~E(f775(f775(f125(x88192),x88191),x88194),f775(f775(f140(x88192),x88193),x88195))
% 184.29/184.10 [8834]E(f775(f775(f140(x88342),x88343),f731(x88344,x88343,x88341,x88345,x88342)),x88345)+~E(f775(f775(f125(x88342),x88345),x88341),f775(f775(f140(x88342),x88343),x88344))+E(x88341,f775(f775(f140(x88342),x88343),x88344))
% 184.29/184.10 [8835]E(f775(f775(f140(x88351),x88352),f733(x88354,x88355,x88353,x88352,x88351)),x88355)+~E(f775(f775(f125(x88351),x88355),x88354),f775(f775(f140(x88351),x88352),x88353))+E(f775(f775(f140(x88351),x88352),x88353),x88354)
% 184.29/184.10 [8911]~E(f775(f303(x89113,x89112,x89114),f239(f857(x89113,a844))),f239(f857(x89112,a844)))+~E(f775(f303(x89111,x89113,x89115),f239(f857(x89111,a844))),f239(f857(x89113,a844)))+E(f775(f303(x89111,x89112,f775(f75(x89113,x89112,x89111,x89114),x89115)),f239(f857(x89111,a844))),f239(f857(x89112,a844)))
% 184.29/184.10 [9241]E(x92411,f115(x92412))+~E(f775(f775(f125(x92412),x92411),x92413),f775(f775(f140(x92412),x92415),x92414))+E(f775(f775(f125(x92412),f733(x92413,x92411,x92414,x92415,x92412)),x92413),x92414)
% 184.29/184.10 [9242]E(x92421,f115(x92422))+~E(f775(f775(f125(x92422),x92421),x92425),f775(f775(f140(x92422),x92424),x92423))+E(f775(f775(f125(x92422),f731(x92423,x92424,x92425,x92421,x92422)),x92425),x92423)
% 184.29/184.10 [9250]E(f775(f775(f125(x92502),f731(x92504,x92503,x92501,x92505,x92502)),x92501),x92504)+~E(f775(f775(f125(x92502),x92505),x92501),f775(f775(f140(x92502),x92503),x92504))+E(x92501,f775(f775(f140(x92502),x92503),x92504))
% 184.29/184.10 [9251]~E(f775(f775(f125(x92511),x92515),x92514),f775(f775(f140(x92511),x92512),x92513))+E(f775(f775(f125(x92511),f733(x92514,x92515,x92513,x92512,x92511)),x92514),x92513)+E(f775(f775(f140(x92511),x92512),x92513),x92514)
% 184.29/184.10 [9252]E(f775(f775(f125(x92521),x92525),f735(x92523,x92522,x92524,x92525,x92521)),x92522)+E(f775(f775(f125(x92521),x92522),f734(x92523,x92522,x92524,x92525,x92521)),x92525)+~E(f775(f775(f125(x92521),x92525),x92524),f775(f775(f125(x92521),x92522),x92523))
% 184.29/184.10 [9283]~P100(x92831)+P18(x92831,f775(f775(f143(x92832,x92831),x92833),f139(x92832,x92831,x92833,x92834,x92835)))+~P18(x92831,f775(f775(f143(x92832,x92831),x92833),x92835))
% 184.29/184.10 [9299]~P57(x92995,x92991,x92994,x92993)+P1(f775(f775(x92991,x92992),f538(x92993,x92994,x92991,x92995,x92992)))+~P1(f775(f775(f334(x92995),x92992),x92994))
% 184.29/184.10 [9397]~P1(f775(f775(f334(f856(x93971,x93971)),f775(f775(f241(x93971,x93971),x93975),x93973)),f300(x93971,x93974)))+P1(f775(f775(f334(f856(x93971,x93971)),f775(f775(f241(x93971,x93971),x93972),x93973)),f775(f775(f281(x93971,x93971,x93971),x93974),f300(x93971,x93974))))+~P1(f775(f775(f334(f856(x93971,x93971)),f775(f775(f241(x93971,x93971),x93972),x93975)),f775(f775(f281(x93971,x93971,x93971),x93974),f300(x93971,x93974))))
% 184.29/184.10 [9398]~P1(f775(f775(f334(f856(x93981,x93981)),f775(f775(f241(x93981,x93981),x93982),x93985)),f300(x93981,x93984)))+P1(f775(f775(f334(f856(x93981,x93981)),f775(f775(f241(x93981,x93981),x93982),x93983)),f775(f775(f281(x93981,x93981,x93981),x93984),f300(x93981,x93984))))+~P1(f775(f775(f334(f856(x93981,x93981)),f775(f775(f241(x93981,x93981),x93985),x93983)),f775(f775(f281(x93981,x93981,x93981),x93984),f300(x93981,x93984))))
% 184.29/184.10 [9400]P1(f775(f775(f334(f856(f851(x94001),f851(x94001))),f775(f775(f241(f851(x94001),f851(x94001)),x94002),x94003)),f147(x94001,f300(x94001,x94004))))+~P1(f775(f775(f334(f856(f851(x94001),f851(x94001))),f775(f775(f241(f851(x94001),f851(x94001)),x94002),x94005)),f147(x94001,f300(x94001,x94004))))+~P1(f775(f775(f334(f856(f851(x94001),f851(x94001))),f775(f775(f241(f851(x94001),f851(x94001)),x94005),x94003)),f147(x94001,f300(x94001,x94004))))
% 184.29/184.10 [9404]E(f775(f775(f125(x94041),x94042),f734(x94043,x94042,x94044,x94045,x94041)),x94045)+E(f775(f775(f125(x94041),f735(x94043,x94042,x94044,x94045,x94041)),x94043),x94044)+~E(f775(f775(f125(x94041),x94042),x94043),f775(f775(f125(x94041),x94045),x94044))
% 184.29/184.10 [9405]E(f775(f775(f125(x94051),x94052),f735(x94053,x94054,x94055,x94052,x94051)),x94054)+E(f775(f775(f125(x94051),f734(x94053,x94054,x94055,x94052,x94051)),x94055),x94053)+~E(f775(f775(f125(x94051),x94052),x94055),f775(f775(f125(x94051),x94054),x94053))
% 184.29/184.10 [9462]P1(f775(f775(f334(f856(x94621,x94621)),f775(f775(f241(x94621,x94621),x94622),x94623)),f775(f775(f281(x94621,x94621,x94621),x94624),f300(x94621,x94624))))+~P1(f775(f775(f334(f856(x94621,x94621)),f775(f775(f241(x94621,x94621),x94622),x94625)),f775(f775(f281(x94621,x94621,x94621),x94624),f300(x94621,x94624))))+~P1(f775(f775(f334(f856(x94621,x94621)),f775(f775(f241(x94621,x94621),x94625),x94623)),f775(f775(f281(x94621,x94621,x94621),x94624),f300(x94621,x94624))))
% 184.29/184.10 [9495]E(f775(f775(f125(x94951),f734(x94952,x94953,x94954,x94955,x94951)),x94954),x94952)+~E(f775(f775(f125(x94951),x94953),x94952),f775(f775(f125(x94951),x94955),x94954))+E(f775(f775(f125(x94951),f735(x94952,x94953,x94954,x94955,x94951)),x94952),x94954)
% 184.29/184.10 [9510]~P57(x95101,x95104,x95103,x95102)+~P1(f775(f775(f334(x95101),x95105),x95103))+P1(f775(f775(f334(x95101),f538(x95102,x95103,x95104,x95101,x95105)),x95102))
% 184.29/184.10 [9618]~P1(f775(f775(f334(f856(f857(x96181,a844),f857(x96181,a844))),f775(f775(f241(f857(x96181,a844),f857(x96181,a844)),x96184),x96183)),f324(x96181,x96182)))+~P1(f775(f775(f334(x96181),x96185),x96184))+P1(f775(f775(f334(x96181),f624(x96182,x96183,x96184,x96181,x96185)),x96183))
% 184.29/184.10 [6459]~P21(x64592,x64595,x64591)+~P1(f775(f63(x64592),x64594))+E(f775(x64591,f775(f775(f302(x64592),x64593),x64594)),f775(f775(f66(x64592,x64592,x64595),x64593),x64594))
% 184.29/184.10 [6460]~E(x64603,x64604)+~E(x64602,x64605)+E(f775(f775(f302(x64601),x64602),f775(f775(f302(x64601),x64603),f180(f857(x64601,a844)))),f775(f775(f302(x64601),x64604),f775(f775(f302(x64601),x64605),f180(f857(x64601,a844)))))
% 184.29/184.10 [6472]P1(f775(x64722,x64725))+E(f162(x64721,x64722,f775(f775(f125(x64721),x64723),x64724)),f162(x64721,x64722,x64723))+~P1(f775(f775(f334(x64721),x64725),f775(f158(x64721),x64723)))
% 184.29/184.10 [6509]E(f775(x65091,x65092),f239(f857(x65093,a844)))+~E(f775(f775(f47(x65094,f857(x65093,a844)),x65095),x65091),f239(f857(x65093,a844)))+~P1(f775(f775(f334(x65094),x65092),x65095))
% 184.29/184.10 [6510]E(f775(x65101,x65102),f180(f857(x65103,a844)))+~E(f775(f775(f46(x65104,f857(x65103,a844)),x65105),x65101),f180(f857(x65103,a844)))+~P1(f775(f775(f334(x65104),x65102),x65105))
% 184.29/184.10 [6833]~P1(f775(f775(f187(x68331),x68333),x68335))+~P1(f775(f775(f187(x68332),x68335),x68334))+P1(f775(f775(f187(f36(x68331,x68332)),x68333),x68334))
% 184.29/184.10 [7039]~E(x70392,x70394)+~P137(x70391)+E(f775(f775(f82(x70391),f775(f775(f83(x70391),x70392),x70393)),f775(f775(f83(x70391),x70394),x70395)),f775(f775(f82(x70391),f775(f775(f83(x70391),x70392),x70395)),f775(f775(f83(x70391),x70394),x70393)))
% 184.29/184.10 [7099]~P9(x70991)+~P1(f775(f775(f334(x70994),x70993),x70995))+P1(f775(f775(f232(x70991),f775(x70992,x70993)),f775(f775(f46(x70994,x70991),x70995),x70992)))
% 184.29/184.10 [7148]~P102(x71481)+P1(f775(f775(f232(x71481),f775(x71482,x71483)),f775(x71484,x71483)))+~P1(f775(f775(f232(f857(x71485,x71481)),x71482),x71484))
% 184.29/184.10 [7284]E(x72841,x72842)+E(x72843,x72841)+~E(f775(f775(f302(x72844),x72841),f775(f775(f302(x72844),x72845),f180(f857(x72844,a844)))),f775(f775(f302(x72844),x72842),f775(f775(f302(x72844),x72843),f180(f857(x72844,a844)))))
% 184.29/184.10 [7285]E(x72851,x72852)+E(x72853,x72851)+~E(f775(f775(f302(x72854),x72853),f775(f775(f302(x72854),x72852),f180(f857(x72854,a844)))),f775(f775(f302(x72854),x72855),f775(f775(f302(x72854),x72851),f180(f857(x72854,a844)))))
% 184.29/184.10 [7286]E(x72861,x72862)+E(x72861,x72863)+~E(f775(f775(f302(x72864),x72863),f775(f775(f302(x72864),x72862),f180(f857(x72864,a844)))),f775(f775(f302(x72864),x72865),f775(f775(f302(x72864),x72861),f180(f857(x72864,a844)))))
% 184.29/184.10 [7287]E(x72871,x72872)+E(x72871,x72873)+~E(f775(f775(f302(x72874),x72871),f775(f775(f302(x72874),x72875),f180(f857(x72874,a844)))),f775(f775(f302(x72874),x72872),f775(f775(f302(x72874),x72873),f180(f857(x72874,a844)))))
% 184.29/184.10 [7833]P29(x78331,x78332,x78333,x78334)+~P29(x78331,x78332,x78333,x78335)+~P1(f775(f775(f232(f857(x78331,a844)),x78334),x78335))
% 184.29/184.10 [7936]P1(f775(x79361,x79362))+~P1(f775(f775(f187(x79364),x79362),x79365))+P1(f775(f775(f187(f33(x79361,x79363,x79364)),x79362),x79365))
% 184.29/184.10 [7964]~P1(f775(x79641,x79644))+~P1(f775(f775(f187(x79642),x79644),x79645))+P1(f775(f775(f187(f33(x79641,x79642,x79643)),x79644),x79645))
% 184.29/184.10 [8009]E(x80091,x80092)+~E(f775(f303(x80093,x80094,x80095),x80091),f775(f303(x80093,x80094,x80095),x80092))+~P29(x80093,x80094,x80095,f775(f775(f103(f857(x80093,a844)),x80091),x80092))
% 184.29/184.10 [8109]~P29(x81091,x81092,x81093,x81095)+~P29(x81091,x81092,x81093,x81094)+P29(x81091,x81092,x81093,f775(f775(f104(f857(x81091,a844)),x81094),x81095))
% 184.29/184.10 [8214]~P66(x82141)+E(f775(f775(f82(x82141),f775(x82142,x82143)),f775(f155(x82141),f775(f775(f143(x82144,x82141),x82142),f151(x82144,x82143,x82145)))),f775(f155(x82141),f775(f775(f143(x82144,x82141),x82142),x82145)))+~P1(f775(f775(f334(x82144),x82143),f775(f158(x82144),x82145)))
% 184.29/184.10 [8301]~P100(x83011)+~P18(x83011,f775(f775(f143(x83012,x83011),x83013),x83015))+P18(x83011,f775(f775(f143(x83012,x83011),x83013),f775(f775(f138(x83012,x83011,x83013),x83014),x83015)))
% 184.29/184.10 [8382]P1(f775(x83821,x83822))+P1(f775(f775(f187(x83823),x83822),x83824))+~P1(f775(f775(f187(f33(x83821,x83825,x83823)),x83822),x83824))
% 184.29/184.10 [8393]~P9(x83931)+P1(f775(f775(f232(x83931),f775(f775(f46(x83932,x83931),x83933),x83934)),f775(f775(f46(x83932,x83931),x83935),x83934)))+~P1(f775(f775(f232(f857(x83932,a844)),x83933),x83935))
% 184.29/184.10 [8394]~P9(x83941)+P1(f775(f775(f232(x83941),f775(f775(f47(x83942,x83941),x83943),x83944)),f775(f775(f47(x83942,x83941),x83945),x83944)))+~P1(f775(f775(f232(f857(x83942,a844)),x83945),x83943))
% 184.29/184.10 [8403]~P1(f775(x84034,x84032))+P1(f775(f775(f187(x84031),x84032),x84033))+~P1(f775(f775(f187(f33(x84034,x84031,x84035)),x84032),x84033))
% 184.29/184.10 [8427]~P100(x84273)+P1(f775(f127(x84271),x84272))+~P1(f775(f127(x84271),f775(f775(f138(x84271,x84273,x84274),x84275),x84272)))
% 184.29/184.10 [8437]P1(f775(f775(f187(x84371),x84372),x84373))+P1(f775(f775(f187(x84374),x84372),x84373))+~P1(f775(f775(f187(f33(x84375,x84371,x84374)),x84372),x84373))
% 184.29/184.10 [8561]~P100(x85611)+~P1(f775(f775(f334(x85612),x85613),f775(f158(x85612),x85614)))+~P1(f775(f127(x85612),f775(f775(f138(x85612,x85611,x85615),x85613),x85614)))
% 184.29/184.10 [8636]~P100(x86361)+P18(x86361,f775(f775(f143(x86362,x86361),x86363),x86364))+~P18(x86361,f775(f775(f143(x86362,x86361),x86363),f775(f775(f138(x86362,x86361,x86363),x86365),x86364)))
% 184.29/184.10 [8721]~P100(x87212)+E(f775(f775(f138(x87211,x87212,x87213),x87214),x87215),f139(x87211,x87212,x87213,x87214,x87215))+P1(f775(f775(f334(x87212),f775(x87213,x87214)),f775(f303(x87211,x87212,x87213),f775(f158(x87211),x87215))))
% 184.29/184.10 [8788]~P100(x87882)+E(f139(x87881,x87882,x87883,x87884,x87885),x87885)+~P1(f775(f775(f334(x87882),f775(x87883,x87884)),f775(f303(x87881,x87882,x87883),f775(f158(x87881),x87885))))
% 184.29/184.10 [8802]~P29(x88022,x88021,x88023,x88025)+P1(f775(f775(f233(f857(x88021,a844)),f775(f303(x88022,x88021,x88023),x88024)),f775(f303(x88022,x88021,x88023),x88025)))+~P1(f775(f775(f233(f857(x88022,a844)),x88024),x88025))
% 184.29/184.10 [8949]~P29(x89491,x89492,x89493,f239(f857(x89491,a844)))+~P1(f775(f775(f232(f857(x89492,a844)),x89494),f775(f303(x89491,x89492,x89493),x89495)))+P1(f775(f775(f232(f857(x89491,a844)),f775(f305(x89491,x89492,x89493),x89494)),x89495))
% 184.29/184.10 [8968]~E(f775(f303(x89683,x89681,x89684),f239(f857(x89683,a844))),f239(f857(x89681,a844)))+P1(f775(f775(f232(f857(x89681,a844)),x89682),f775(f303(x89683,x89681,x89684),x89685)))+~P1(f775(f775(f232(f857(x89683,a844)),f775(f305(x89683,x89681,x89684),x89682)),x89685))
% 184.29/184.10 [9006]~E(f775(f227(x90062),x90064),f775(f166(x90061,x90062,x90065),x90063))+~P1(f775(f127(x90061),f775(f775(f143(f856(x90061,x90062),x90061),f240(x90061,x90062)),x90065)))+P1(f775(f775(f334(f856(x90061,x90062)),f775(f775(f241(x90061,x90062),x90063),x90064)),f775(f158(f856(x90061,x90062)),x90065)))
% 184.29/184.10 [9070]~P29(x90701,x90704,x90705,f239(f857(x90701,a844)))+~P1(f775(f775(f232(f857(x90704,a844)),f775(f303(x90701,x90704,x90705),x90702)),f775(f303(x90701,x90704,x90705),x90703)))+P1(f775(f775(f232(f857(x90701,a844)),x90702),x90703))
% 184.29/184.10 [9136]E(f775(f227(x91361),x91362),f775(f166(x91363,x91361,x91364),x91365))+~P1(f775(f127(x91363),f775(f775(f143(f856(x91363,x91361),x91363),f240(x91363,x91361)),x91364)))+~P1(f775(f775(f334(f856(x91363,x91361)),f775(f775(f241(x91363,x91361),x91365),x91362)),f775(f158(f856(x91363,x91361)),x91364)))
% 184.29/184.10 [9138]E(f775(f166(x91381,x91382,x91383),x91384),f775(f227(x91382),x91385))+~P1(f775(f127(x91381),f775(f775(f143(f856(x91381,x91382),x91381),f240(x91381,x91382)),x91383)))+~P1(f775(f775(f334(f856(x91381,x91382)),f775(f775(f241(x91381,x91382),x91384),x91385)),f775(f158(f856(x91381,x91382)),x91383)))
% 184.29/184.10 [9345]~P20(x93451,x93452,x93453)+~P1(f775(f63(x93451),x93455))+P1(f775(f68(x93451,x93452,x93453,x93454,x93455),f775(f775(f66(x93451,x93452,x93453),x93454),x93455)))
% 184.29/184.10 [9419]P1(f775(x94191,f699(x94192,x94191,x94193,x94194,x94195)))+~P1(f775(f775(f232(f857(x94195,a844)),x94194),x94193))+P1(f775(f775(f232(f857(x94195,a844)),f775(f775(f104(f857(x94195,a844)),x94194),f775(f256(x94195),x94191))),f775(f775(f104(f857(x94195,a844)),x94193),f775(f256(x94195),x94192))))
% 184.29/184.10 [9508]~P9(x95085)+P1(f775(f775(f334(x95081),f664(x95082,x95083,x95081,x95084,x95085)),x95083))+P1(f775(f775(f232(x95085),x95084),f775(f775(f47(x95081,x95085),x95083),x95082)))
% 184.29/184.10 [9520]~P1(f775(x95205,f699(x95205,x95203,x95204,x95202,x95201)))+~P1(f775(f775(f232(f857(x95201,a844)),x95202),x95204))+P1(f775(f775(f232(f857(x95201,a844)),f775(f775(f104(f857(x95201,a844)),x95202),f775(f256(x95201),x95203))),f775(f775(f104(f857(x95201,a844)),x95204),f775(f256(x95201),x95205))))
% 184.29/184.10 [9583]P1(f775(f775(f334(x95831),f699(x95832,x95833,x95834,x95835,x95831)),x95835))+~P1(f775(f775(f232(f857(x95831,a844)),x95835),x95834))+P1(f775(f775(f232(f857(x95831,a844)),f775(f775(f104(f857(x95831,a844)),x95835),f775(f256(x95831),x95833))),f775(f775(f104(f857(x95831,a844)),x95834),f775(f256(x95831),x95832))))
% 184.29/184.10 [9629]~P9(x96291)+~P1(f775(f775(f232(x96291),x96292),f775(x96295,f664(x96295,x96294,x96293,x96292,x96291))))+P1(f775(f775(f232(x96291),x96292),f775(f775(f47(x96293,x96291),x96294),x96295)))
% 184.29/184.10 [9659]~P70(x96591)+~P1(f775(f63(x96592),x96595))+E(f775(f775(f775(f67(x96591,x96592,f83(x96591)),f775(f775(f20(x96592,x96591,x96591),f775(f775(f10(x96591,f857(x96591,x96591),x96592),f83(x96591)),x96593)),x96594)),f80(x96591)),x96595),f775(f775(f83(x96591),f775(f775(f775(f67(x96591,x96592,f83(x96591)),x96593),f80(x96591)),x96595)),f775(f775(f775(f67(x96591,x96592,f83(x96591)),x96594),f80(x96591)),x96595)))
% 184.29/184.10 [9708]~P1(f775(f775(f334(f856(f857(x97081,a844),f857(x97081,a844))),f775(f775(f241(f857(x97081,a844),f857(x97081,a844)),x97085),x97084)),f324(x97081,x97083)))+~P1(f775(f775(f334(x97081),x97082),x97085))+P1(f775(f775(f334(f856(x97081,x97081)),f775(f775(f241(x97081,x97081),x97082),f624(x97083,x97084,x97085,x97081,x97082))),x97083))
% 184.29/184.10 [9856]~P1(f775(f775(f334(f856(f851(x98561),f851(x98561))),f775(f775(f241(f851(x98561),f851(x98561)),f775(f775(f125(x98561),x98565),x98562)),f775(f775(f125(x98561),x98565),x98563))),f137(x98561,x98564)))+P1(f775(f775(f334(f856(f851(x98561),f851(x98561))),f775(f775(f241(f851(x98561),f851(x98561)),x98562),x98563)),f137(x98561,x98564)))+P1(f775(f775(f334(f856(x98561,x98561)),f775(f775(f241(x98561,x98561),f740(x98564,x98563,x98562,x98565,x98561)),f740(x98564,x98563,x98562,x98565,x98561))),x98564))
% 184.29/184.10 [7151]~E(x71513,x71515)+E(f775(f775(f153(x71511),f775(f775(f148(x71511,x71512),x71513),x71514)),x71515),x71514)+~P1(f775(f775(f233(a850),x71513),f775(f181(f851(x71511)),x71512)))
% 184.29/184.10 [7160]~E(f775(f181(f851(x71601)),x71603),f775(f181(f851(x71602)),x71604))+E(f775(f166(x71601,x71602,f775(f775(f167(x71601,x71602),x71603),x71604)),x71605),f183(x71602))+P1(f775(f775(f334(x71601),x71605),f775(f158(x71601),x71603)))
% 184.29/184.10 [7280]~E(f775(f775(f125(x72801),x72802),x72804),f775(f775(f125(x72801),x72803),x72805))+E(f775(f775(f159(x72801),f775(f181(f851(x72801)),x72802)),x72803),x72802)+P1(f775(f775(f232(a850),f775(f181(f851(x72801)),x72803)),f775(f181(f851(x72801)),x72802)))
% 184.29/184.10 [7794]~E(f775(f775(f125(x77941),x77942),x77944),f775(f775(f125(x77941),x77943),x77945))+E(f775(f775(f159(x77941),f775(f181(f851(x77941)),x77942)),x77943),x77942)+~P1(f775(f775(f232(a850),f775(f181(f851(x77941)),x77942)),f775(f181(f851(x77941)),x77943)))
% 184.29/184.10 [7818]~P1(f775(f63(x78181),f775(x78184,x78185)))+~P1(f775(f775(f334(x78182),x78185),x78183))+P1(f775(f63(x78181),f775(f775(f47(x78182,f857(x78181,a844)),x78183),x78184)))
% 184.29/184.10 [7930]~E(f775(f181(f851(x79301)),x79302),f775(f181(f851(x79303)),x79304))+~E(f775(f166(x79301,x79303,f775(f775(f167(x79301,x79303),x79302),x79304)),x79305),f183(x79303))+~P1(f775(f775(f334(x79301),x79305),f775(f158(x79301),x79302)))
% 184.29/184.10 [7996]~P47(x79961,x79963,x79965)+~P47(x79961,x79962,x79964)+P47(x79961,f775(f775(f103(f857(x79961,a844)),x79962),x79963),f775(f775(f103(f857(f856(x79961,x79961),a844)),x79964),x79965))
% 184.29/184.10 [7997]~P47(x79971,x79973,x79975)+~P47(x79971,x79972,x79974)+P47(x79971,f775(f775(f104(f857(x79971,a844)),x79972),x79973),f775(f775(f104(f857(f856(x79971,x79971),a844)),x79974),x79975))
% 184.29/184.10 [8345]E(f775(f775(f241(x83451,x83452),f775(f775(f153(x83451),x83453),x83454)),f775(f775(f153(x83452),x83455),x83454)),f775(f775(f153(f856(x83451,x83452)),f775(f775(f167(x83451,x83452),x83453),x83455)),x83454))+~P1(f775(f775(f233(a850),x83454),f775(f181(f851(x83451)),x83453)))+~P1(f775(f775(f233(a850),x83454),f775(f181(f851(x83452)),x83455)))
% 184.29/184.10 [8505]~P47(x85051,x85053,x85054)+P1(f775(f775(f334(x85051),x85052),x85053))+~P1(f775(f775(f334(f856(x85051,x85051)),f775(f775(f241(x85051,x85051),x85055),x85052)),x85054))
% 184.29/184.10 [8506]~P47(x85061,x85063,x85064)+P1(f775(f775(f334(x85061),x85062),x85063))+~P1(f775(f775(f334(f856(x85061,x85061)),f775(f775(f241(x85061,x85061),x85062),x85065)),x85064))
% 184.29/184.10 [8507]~P12(x85071,x85073,x85074)+P1(f775(f775(f334(x85071),x85072),x85073))+~P1(f775(f775(f334(f856(x85071,x85071)),f775(f775(f241(x85071,x85071),x85075),x85072)),x85074))
% 184.29/184.10 [8508]~P12(x85081,x85083,x85084)+P1(f775(f775(f334(x85081),x85082),x85083))+~P1(f775(f775(f334(f856(x85081,x85081)),f775(f775(f241(x85081,x85081),x85082),x85085)),x85084))
% 184.29/184.10 [8744]~P12(x87441,x87445,x87442)+E(f775(f277(x87441,x87441,x87442),f775(f775(f302(x87441),x87443),f180(f857(x87441,a844)))),f775(f277(x87441,x87441,x87442),f775(f775(f302(x87441),x87444),f180(f857(x87441,a844)))))+~P1(f775(f775(f334(f856(x87441,x87441)),f775(f775(f241(x87441,x87441),x87443),x87444)),x87442))
% 184.29/184.10 [8908]P1(f775(x89081,x89082))+~P1(f775(f775(f334(x89083),x89082),x89085))+P1(f775(f775(f334(x89083),f382(x89081,x89084,x89085,x89083)),f775(f775(f103(f857(x89083,a844)),x89085),x89084)))
% 184.29/184.10 [8909]P1(f775(x89091,x89092))+~P1(f775(f775(f334(x89093),x89092),x89094))+P1(f775(f775(f334(x89093),f382(x89091,x89094,x89095,x89093)),f775(f775(f103(f857(x89093,a844)),x89095),x89094)))
% 184.29/184.10 [8917]~P1(f775(x89172,x89175))+~P1(f775(f775(f334(x89171),x89175),x89174))+P1(f775(f775(f334(x89171),f378(x89172,x89173,x89174,x89171)),f775(f775(f103(f857(x89171,a844)),x89174),x89173)))
% 184.29/184.10 [8918]~P1(f775(x89182,x89185))+~P1(f775(f775(f334(x89181),x89185),x89183))+P1(f775(f775(f334(x89181),f378(x89182,x89183,x89184,x89181)),f775(f775(f103(f857(x89181,a844)),x89184),x89183)))
% 184.29/184.10 [8931]~P1(f775(f775(f232(f857(x89311,a844)),x89315),x89313))+~P1(f775(f775(f232(f857(x89311,a844)),x89312),x89314))+P1(f775(f775(f232(f857(x89311,a844)),f775(f775(f3(f857(x89311,a844)),x89312),x89313)),f775(f775(f3(f857(x89311,a844)),x89314),x89315)))
% 184.29/184.10 [8932]~P1(f775(f775(f232(f857(x89321,a844)),x89323),x89325))+~P1(f775(f775(f232(f857(x89321,a844)),x89322),x89324))+P1(f775(f775(f232(f857(x89321,a844)),f775(f775(f103(f857(x89321,a844)),x89322),x89323)),f775(f775(f103(f857(x89321,a844)),x89324),x89325)))
% 184.29/184.10 [8933]~P1(f775(f775(f232(f857(x89331,a844)),x89333),x89335))+~P1(f775(f775(f232(f857(x89331,a844)),x89332),x89334))+P1(f775(f775(f232(f857(x89331,a844)),f775(f775(f104(f857(x89331,a844)),x89332),x89333)),f775(f775(f104(f857(x89331,a844)),x89334),x89335)))
% 184.29/184.10 [9022]P1(f775(f775(f334(f856(x90221,x90221)),f775(f775(f241(x90221,x90221),x90222),x90223)),f327(x90221,x90224,x90225)))+~P1(f775(f775(f232(a850),f775(x90224,x90222)),f775(x90224,x90223)))+~P1(f775(f775(f334(f856(x90221,x90221)),f775(f775(f241(x90221,x90221),x90222),x90223)),x90225))
% 184.29/184.10 [9029]~E(f775(f181(f851(x90291)),x90293),f775(f181(f851(x90292)),x90294))+E(f775(f166(x90291,x90292,f775(f775(f167(x90291,x90292),x90293),x90294)),x90295),f775(f227(x90292),f715(x90295,x90294,x90292,x90293,x90291)))+~P1(f775(f775(f334(x90291),x90295),f775(f158(x90291),x90293)))
% 184.29/184.10 [9178]P1(f775(f775(f334(f856(x91781,x91781)),f775(f775(f241(x91781,x91781),x91782),x91783)),f300(x91781,x91784)))+~P1(f775(f775(f334(f856(x91781,x91781)),f775(f775(f241(x91781,x91781),x91782),x91785)),f300(x91781,x91784)))+~P1(f775(f775(f334(f856(x91781,x91781)),f775(f775(f241(x91781,x91781),x91785),x91783)),x91784))
% 184.29/184.10 [9179]P1(f775(f775(f334(f856(x91791,x91791)),f775(f775(f241(x91791,x91791),x91792),x91793)),f300(x91791,x91794)))+~P1(f775(f775(f334(f856(x91791,x91791)),f775(f775(f241(x91791,x91791),x91795),x91793)),f300(x91791,x91794)))+~P1(f775(f775(f334(f856(x91791,x91791)),f775(f775(f241(x91791,x91791),x91792),x91795)),x91794))
% 184.29/184.10 [9273]E(x92731,x92732)+E(f775(a114,f642(x92733,x92734,x92731,x92732,x92735)),x92734)+~P1(f775(f775(f334(f856(x92735,x92735)),f775(f775(f241(x92735,x92735),x92732),x92731)),f775(f775(f173(f856(x92735,x92735),a844),x92734),x92733)))
% 184.29/184.10 [9274]E(x92741,x92742)+E(f775(a114,f644(x92743,x92744,x92741,x92742,x92745)),x92744)+~P1(f775(f775(f334(f856(x92745,x92745)),f775(f775(f241(x92745,x92745),x92742),x92741)),f775(f775(f173(f856(x92745,x92745),a844),x92744),x92743)))
% 184.29/184.10 [9275]E(x92751,f2(a850))+E(f775(a114,f642(x92752,x92751,x92753,x92754,x92755)),x92751)+~P1(f775(f775(f334(f856(x92755,x92755)),f775(f775(f241(x92755,x92755),x92754),x92753)),f775(f775(f173(f856(x92755,x92755),a844),x92751),x92752)))
% 184.29/184.10 [9276]E(x92761,f2(a850))+E(f775(a114,f644(x92762,x92761,x92763,x92764,x92765)),x92761)+~P1(f775(f775(f334(f856(x92765,x92765)),f775(f775(f241(x92765,x92765),x92764),x92763)),f775(f775(f173(f856(x92765,x92765),a844),x92761),x92762)))
% 184.29/184.10 [9295]P1(f775(f775(f334(f856(x92951,x92951)),f775(f775(f241(x92951,x92951),x92952),x92953)),f775(f775(f281(x92951,x92951,x92951),x92954),f300(x92951,x92954))))+~P1(f775(f775(f334(f856(x92951,x92951)),f775(f775(f241(x92951,x92951),x92952),x92955)),x92954))+~P1(f775(f775(f334(f856(x92951,x92951)),f775(f775(f241(x92951,x92951),x92955),x92953)),x92954))
% 184.29/184.10 [9304]~P1(f775(f775(f334(f856(x93041,x93041)),f775(f775(f241(x93041,x93041),x93042),x93045)),f300(x93041,x93044)))+P1(f775(f775(f334(f856(x93041,x93041)),f775(f775(f241(x93041,x93041),x93042),x93043)),f775(f775(f281(x93041,x93041,x93041),x93044),f300(x93041,x93044))))+~P1(f775(f775(f334(f856(x93041,x93041)),f775(f775(f241(x93041,x93041),x93045),x93043)),x93044))
% 184.29/184.10 [9341]~P12(x93411,x93415,x93412)+~P1(f775(f775(f334(f856(x93411,x93411)),f775(f775(f241(x93411,x93411),x93413),x93414)),x93412))+P1(f775(f775(f232(f857(x93411,a844)),f775(f277(x93411,x93411,x93412),f775(f775(f302(x93411),x93413),f180(f857(x93411,a844))))),f775(f277(x93411,x93411,x93412),f775(f775(f302(x93411),x93414),f180(f857(x93411,a844))))))
% 184.29/184.10 [9393]P1(f775(f775(f334(f856(x93931,x93931)),f775(f775(f241(x93931,x93931),x93932),x93933)),f775(f775(f281(x93931,x93931,x93931),x93934),f300(x93931,x93934))))+~P1(f775(f775(f334(f856(x93931,x93931)),f775(f775(f241(x93931,x93931),x93932),x93935)),f775(f775(f281(x93931,x93931,x93931),x93934),f300(x93931,x93934))))+~P1(f775(f775(f334(f856(x93931,x93931)),f775(f775(f241(x93931,x93931),x93935),x93933)),x93934))
% 184.29/184.10 [9394]P1(f775(f775(f334(f856(x93941,x93941)),f775(f775(f241(x93941,x93941),x93942),x93943)),f775(f775(f281(x93941,x93941,x93941),x93944),f300(x93941,x93944))))+~P1(f775(f775(f334(f856(x93941,x93941)),f775(f775(f241(x93941,x93941),x93945),x93943)),f775(f775(f281(x93941,x93941,x93941),x93944),f300(x93941,x93944))))+~P1(f775(f775(f334(f856(x93941,x93941)),f775(f775(f241(x93941,x93941),x93942),x93945)),x93944))
% 184.29/184.10 [9441]~P1(f775(f68(x94411,x94411,x94414,x94412,x94413),x94415))+P1(f775(f775(f334(x94411),x94412),x94413))+P1(f775(f64(x94411,x94414,f775(f775(f302(x94411),x94412),x94413)),x94415))
% 184.29/184.10 [9484]~E(f775(f303(x94843,x94842,x94845),x94844),x94841)+E(x94841,f180(f857(x94842,a844)))+P1(f775(f775(f232(f857(x94843,a844)),f775(f303(x94842,x94843,f522(x94844,x94843,x94842,x94841)),x94841)),x94844))
% 184.29/184.10 [9523]~P9(x95235)+P1(f775(f775(f334(x95231),f391(x95232,x95233,x95234,x95231,x95235)),x95234))+P1(f775(f775(f232(x95235),f775(f775(f46(x95231,x95235),x95234),x95233)),x95232))
% 184.29/184.10 [9685]E(x96851,x96852)+P1(f775(f775(f334(f856(x96853,x96853)),f775(f775(f241(x96853,x96853),x96851),f643(x96854,x96855,x96852,x96851,x96853))),x96854))+~P1(f775(f775(f334(f856(x96853,x96853)),f775(f775(f241(x96853,x96853),x96851),x96852)),f775(f775(f173(f856(x96853,x96853),a844),x96855),x96854)))
% 184.29/184.10 [9686]E(x96861,f2(a850))+P1(f775(f775(f334(f856(x96862,x96862)),f775(f775(f241(x96862,x96862),x96863),f643(x96864,x96861,x96865,x96863,x96862))),x96864))+~P1(f775(f775(f334(f856(x96862,x96862)),f775(f775(f241(x96862,x96862),x96863),x96865)),f775(f775(f173(f856(x96862,x96862),a844),x96861),x96864)))
% 184.29/184.10 [9730]~P9(x97301)+~P1(f775(f775(f232(x97301),f775(x97304,f391(x97305,x97304,x97303,x97302,x97301))),x97305))+P1(f775(f775(f232(x97301),f775(f775(f46(x97302,x97301),x97303),x97304)),x97305))
% 184.29/184.10 [9785]E(x97851,x97852)+P1(f775(f775(f334(f856(x97853,x97853)),f775(f775(f241(x97853,x97853),f645(x97854,x97855,x97851,x97852,x97853)),x97851)),x97854))+~P1(f775(f775(f334(f856(x97853,x97853)),f775(f775(f241(x97853,x97853),x97852),x97851)),f775(f775(f173(f856(x97853,x97853),a844),x97855),x97854)))
% 184.29/184.10 [9786]E(x97861,f2(a850))+P1(f775(f775(f334(f856(x97862,x97862)),f775(f775(f241(x97862,x97862),f645(x97863,x97861,x97864,x97865,x97862)),x97864)),x97863))+~P1(f775(f775(f334(f856(x97862,x97862)),f775(f775(f241(x97862,x97862),x97865),x97864)),f775(f775(f173(f856(x97862,x97862),a844),x97861),x97863)))
% 184.29/184.10 [9790]E(x97901,x97902)+P1(f775(f775(f334(f856(x97903,x97903)),f775(f775(f241(x97903,x97903),x97901),f645(x97904,x97905,x97902,x97901,x97903))),f775(f775(f173(f856(x97903,x97903),a844),f644(x97904,x97905,x97902,x97901,x97903)),x97904)))+~P1(f775(f775(f334(f856(x97903,x97903)),f775(f775(f241(x97903,x97903),x97901),x97902)),f775(f775(f173(f856(x97903,x97903),a844),x97905),x97904)))
% 184.29/184.10 [9791]E(x97911,f2(a850))+P1(f775(f775(f334(f856(x97912,x97912)),f775(f775(f241(x97912,x97912),x97913),f645(x97914,x97911,x97915,x97913,x97912))),f775(f775(f173(f856(x97912,x97912),a844),f644(x97914,x97911,x97915,x97913,x97912)),x97914)))+~P1(f775(f775(f334(f856(x97912,x97912)),f775(f775(f241(x97912,x97912),x97913),x97915)),f775(f775(f173(f856(x97912,x97912),a844),x97911),x97914)))
% 184.29/184.10 [9847]E(x98471,x98472)+P1(f775(f775(f334(f856(x98473,x98473)),f775(f775(f241(x98473,x98473),f643(x98474,x98475,x98471,x98472,x98473)),x98471)),f775(f775(f173(f856(x98473,x98473),a844),f642(x98474,x98475,x98471,x98472,x98473)),x98474)))+~P1(f775(f775(f334(f856(x98473,x98473)),f775(f775(f241(x98473,x98473),x98472),x98471)),f775(f775(f173(f856(x98473,x98473),a844),x98475),x98474)))
% 184.29/184.10 [9848]E(x98481,f2(a850))+P1(f775(f775(f334(f856(x98482,x98482)),f775(f775(f241(x98482,x98482),f643(x98483,x98481,x98484,x98485,x98482)),x98484)),f775(f775(f173(f856(x98482,x98482),a844),f642(x98483,x98481,x98484,x98485,x98482)),x98483)))+~P1(f775(f775(f334(f856(x98482,x98482)),f775(f775(f241(x98482,x98482),x98485),x98484)),f775(f775(f173(f856(x98482,x98482),a844),x98481),x98483)))
% 184.29/184.10 [9881]~P66(x98812)+~P1(f775(f63(x98811),x98815))+E(f775(f775(f8(x98811,x98812),f775(f775(f9(x98811,x98812,x98812),f775(f775(f20(x98811,x98812,f857(x98812,x98812)),f775(f775(f10(a844,f857(x98812,f857(x98812,x98812)),x98811),f98(x98812)),f775(f775(f9(x98811,f857(x98811,a844),a844),f334(x98811)),x98813))),x98814)),f2(x98812))),x98815),f775(f775(f8(x98811,x98812),x98814),f775(f775(f104(f857(x98811,a844)),x98815),x98813)))
% 184.29/184.10 [8559]~P66(x85591)+~P1(f775(f63(x85594),x85595))+E(f775(f775(f82(x85591),f775(x85592,x85593)),f775(f775(f8(x85594,x85591),x85592),f775(f775(f3(f857(x85594,a844)),x85595),f775(f775(f302(x85594),x85593),f180(f857(x85594,a844)))))),f775(f775(f8(x85594,x85591),x85592),f775(f775(f302(x85594),x85593),x85595)))
% 184.29/184.10 [8560]~P70(x85601)+~P1(f775(f63(x85604),x85605))+E(f775(f775(f83(x85601),f775(x85602,x85603)),f775(f775(f11(x85604,x85601),x85602),f775(f775(f3(f857(x85604,a844)),x85605),f775(f775(f302(x85604),x85603),f180(f857(x85604,a844)))))),f775(f775(f11(x85604,x85601),x85602),f775(f775(f302(x85604),x85603),x85605)))
% 184.29/184.10 [8840]~P100(x88402)+~P18(x88402,f775(f142(x88402),f775(f775(f143(x88401,x88402),x88404),x88405)))+E(f775(f126(x88401,f775(f775(f10(x88402,a844,x88401),f775(f233(x88402),x88403)),x88404)),x88405),f162(x88401,f775(f775(f10(x88402,a844,x88401),f775(f233(x88402),x88403)),x88404),x88405))
% 184.29/184.10 [8861]~P66(x88611)+E(f775(f775(f82(x88611),f775(f775(f8(a850,x88611),x88612),f295(a850,x88613,x88614))),f775(f775(f8(a850,x88611),x88612),f295(a850,f775(f775(f82(a850),x88614),f80(a850)),f775(f775(f82(a850),x88614),x88615)))),f775(f775(f8(a850,x88611),x88612),f295(a850,x88613,f775(f775(f82(a850),x88614),x88615))))+~P1(f775(f775(f232(a850),x88613),f775(f775(f82(a850),x88614),f80(a850))))
% 184.29/184.10 [8862]~P1(f775(f775(f334(x88621),x88624),x88625))+~P1(f775(f775(f232(f857(x88621,a844)),f775(f158(x88621),x88622)),x88625))+P1(f775(f775(f232(f857(x88621,a844)),f775(f158(x88621),f775(f775(f148(x88621,x88622),x88623),x88624))),x88625))
% 184.29/184.10 [9079]~P9(x90792)+~P1(f775(f63(x90791),x90795))+E(f775(f775(f66(x90791,x90792,f775(f775(f10(x90792,f857(x90792,x90792),x90791),f103(x90792)),x90793)),x90794),x90795),f775(f775(f103(x90792),x90794),f775(f775(f46(x90791,x90792),x90795),x90793)))
% 184.29/184.10 [9080]~P9(x90802)+~P1(f775(f63(x90801),x90805))+E(f775(f775(f66(x90801,x90802,f775(f775(f10(x90802,f857(x90802,x90802),x90801),f104(x90802)),x90803)),x90804),x90805),f775(f775(f104(x90802),x90804),f775(f775(f47(x90801,x90802),x90805),x90803)))
% 184.29/184.10 [9165]~P29(x91651,x91652,x91653,x91655)+P29(x91651,x91652,x91653,f775(f775(f302(x91651),x91654),x91655))+P1(f775(f775(f334(x91652),f775(x91653,x91654)),f775(f303(x91651,x91652,x91653),f775(f775(f3(f857(x91651,a844)),x91655),f775(f775(f302(x91651),x91654),f180(f857(x91651,a844)))))))
% 184.29/184.10 [9367]~P1(f775(f775(f334(f856(f851(x93671),f851(x93671))),f775(f775(f241(f851(x93671),f851(x93671)),x93672),x93674)),f147(x93671,x93675)))+~P1(f775(f775(f233(a850),x93673),f775(f181(f851(x93671)),x93672)))+P1(f775(f775(f334(f856(x93671,x93671)),f775(f775(f241(x93671,x93671),f775(f775(f153(x93671),x93672),x93673)),f775(f775(f153(x93671),x93674),x93673))),x93675))
% 184.29/184.10 [9593]E(x95931,f2(a1))+~P1(f775(f56(x95933,x95931),f775(f775(f241(a1,a1),x95934),x95935)))+P1(f775(f56(f775(f775(f83(a1),x95932),x95933),x95931),f775(f775(f241(a1,a1),f775(f775(f82(a1),f775(f775(f83(a1),x95932),x95934)),f775(f775(f43(a1),f775(f775(f83(a1),x95932),x95935)),x95931))),f52(a1,f775(f775(f83(a1),x95932),x95935),x95931))))
% 184.29/184.10 [9598]~P1(f775(f775(f233(a850),f2(a850)),x95983))+~P1(f775(f55(x95982,x95983),f775(f775(f241(a850,a850),x95984),x95985)))+P1(f775(f55(f775(f775(f83(a850),x95981),x95982),x95983),f775(f775(f241(a850,a850),f775(f775(f82(a850),f775(f775(f83(a850),x95981),x95984)),f775(f775(f43(a850),f775(f775(f83(a850),x95981),x95985)),x95983))),f52(a850,f775(f775(f83(a850),x95981),x95985),x95983))))
% 184.29/184.10 [9903]~P66(x99032)+~P1(f775(f63(x99031),x99034))+E(f775(f775(f8(x99031,x99032),x99033),f775(f256(x99031),f775(f775(f20(x99031,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99031),a331),f775(f775(f9(x99031,f857(x99031,a844),a844),f334(x99031)),x99034))),f775(f775(f9(x99031,f857(x99031,a844),a844),f334(x99031)),x99035)))),f775(f775(f8(x99031,x99032),f775(f775(f9(x99031,x99032,x99032),f775(f775(f20(x99031,x99032,f857(x99032,x99032)),f775(f775(f10(a844,f857(x99032,f857(x99032,x99032)),x99031),f98(x99032)),f775(f775(f9(x99031,f857(x99031,a844),a844),f334(x99031)),x99035))),x99033)),f2(x99032))),x99034))
% 184.29/184.10 [8197]~E(f775(f775(f125(x81971),x81972),x81975),f775(f775(f125(x81971),x81973),x81974))+E(f775(f775(f125(x81971),f775(f775(f128(x81971),f775(f181(f851(x81971)),x81972)),x81973)),x81974),x81975)+P1(f775(f775(f232(a850),f775(f181(f851(x81971)),x81973)),f775(f181(f851(x81971)),x81972)))
% 184.29/184.10 [8396]~E(f775(f775(f125(x83962),x83963),x83961),f775(f775(f125(x83962),x83964),x83965))+E(x83961,f775(f775(f125(x83962),f775(f775(f128(x83962),f775(f181(f851(x83962)),x83963)),x83964)),x83965))+~P1(f775(f775(f232(a850),f775(f181(f851(x83962)),x83963)),f775(f181(f851(x83962)),x83964)))
% 184.29/184.10 [8488]~E(f775(f775(f82(a850),f775(f775(f83(a850),x84883),x84884)),x84881),f775(f775(f82(a850),f775(f775(f83(a850),x84882),x84884)),x84885))+~P1(f775(f775(f232(a850),x84883),x84882))+E(x84881,f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x84882),x84883)),x84884)),x84885))
% 184.29/184.10 [8489]~E(f775(f775(f82(a850),f775(f775(f83(a850),x84891),x84893)),x84894),f775(f775(f82(a850),f775(f775(f83(a850),x84892),x84893)),x84895))+~P1(f775(f775(f232(a850),x84892),x84891))+E(f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x84891),x84892)),x84893)),x84894),x84895)
% 184.29/184.10 [8629]E(f775(f775(f82(a850),f775(f775(f83(a850),x86291),x86292)),x86293),f775(f775(f82(a850),f775(f775(f83(a850),x86294),x86292)),x86295))+~P1(f775(f775(f232(a850),x86294),x86291))+~E(x86295,f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x86291),x86294)),x86292)),x86293))
% 184.29/184.10 [8630]E(f775(f775(f82(a850),f775(f775(f83(a850),x86301),x86302)),x86303),f775(f775(f82(a850),f775(f775(f83(a850),x86304),x86302)),x86305))+~P1(f775(f775(f232(a850),x86304),x86301))+~E(f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x86301),x86304)),x86302)),x86303),x86305)
% 184.29/184.10 [8964]~P1(f775(f775(f279(a1),x89641),x89644))+~P1(f775(f775(f279(a1),x89641),f775(f775(f82(a1),x89642),x89645)))+P1(f775(f775(f279(a1),x89641),f775(f775(f82(a1),f775(f775(f82(a1),x89642),f775(f775(f83(a1),x89643),x89644))),x89645)))
% 184.29/184.10 [9166]~P1(f775(f775(f279(a1),x91661),x91664))+P1(f775(f775(f279(a1),x91661),f775(f775(f82(a1),x91662),x91663)))+~P1(f775(f775(f279(a1),x91661),f775(f775(f82(a1),f775(f775(f82(a1),x91662),f775(f775(f83(a1),x91665),x91664))),x91663)))
% 184.29/184.10 [9417]~P60(x94172)+~P1(f775(f63(x94171),x94175))+E(f775(f775(f11(x94171,x94172),f775(f775(f20(x94171,x94172,x94172),f775(f775(f10(x94172,f857(x94172,x94172),x94171),f283(x94172)),x94173)),x94174)),x94175),f775(f775(f283(x94172),f775(f775(f11(x94171,x94172),x94173),x94175)),f775(f775(f11(x94171,x94172),x94174),x94175)))
% 184.29/184.10 [9537]~E(f647(x95375,x95374,x95373,x95372,x95371),f648(x95375,x95374,x95373,x95372,x95371))+P1(f775(f775(f334(f856(x95371,x95371)),f775(f775(f241(x95371,x95371),x95372),x95373)),f300(x95371,x95374)))+~P1(f775(f775(f334(f856(x95371,x95371)),f775(f775(f241(x95371,x95371),x95372),x95373)),f300(x95371,f775(f775(f103(f857(f856(x95371,x95371),a844)),x95374),x95375))))
% 184.29/184.10 [9538]~E(f656(x95385,x95384,x95383,x95382,x95381),f657(x95385,x95384,x95383,x95382,x95381))+P1(f775(f775(f334(f856(x95381,x95381)),f775(f775(f241(x95381,x95381),x95382),x95383)),f300(x95381,x95384)))+~P1(f775(f775(f334(f856(x95381,x95381)),f775(f775(f241(x95381,x95381),x95382),x95383)),f300(x95381,f775(f775(f103(f857(f856(x95381,x95381),a844)),x95384),x95385))))
% 184.29/184.10 [9718]P1(f775(f775(f334(f856(x97181,x97181)),f775(f775(f241(x97181,x97181),x97182),f657(x97185,x97184,x97183,x97182,x97181))),f300(x97181,x97184)))+P1(f775(f775(f334(f856(x97181,x97181)),f775(f775(f241(x97181,x97181),x97182),x97183)),f300(x97181,x97184)))+~P1(f775(f775(f334(f856(x97181,x97181)),f775(f775(f241(x97181,x97181),x97182),x97183)),f300(x97181,f775(f775(f103(f857(f856(x97181,x97181),a844)),x97184),x97185))))
% 184.29/184.10 [9812]P1(f775(f775(f334(f856(x98121,x98121)),f775(f775(f241(x98121,x98121),f648(x98125,x98124,x98123,x98122,x98121)),x98123)),f300(x98121,x98124)))+P1(f775(f775(f334(f856(x98121,x98121)),f775(f775(f241(x98121,x98121),x98122),x98123)),f300(x98121,x98124)))+~P1(f775(f775(f334(f856(x98121,x98121)),f775(f775(f241(x98121,x98121),x98122),x98123)),f300(x98121,f775(f775(f103(f857(f856(x98121,x98121),a844)),x98124),x98125))))
% 184.29/184.10 [9854]P1(f775(f775(f334(f856(x98541,x98541)),f775(f775(f241(x98541,x98541),x98542),x98543)),f300(x98541,x98544)))+P1(f775(f775(f334(f856(x98541,x98541)),f775(f775(f241(x98541,x98541),f647(x98545,x98544,x98543,x98542,x98541)),f648(x98545,x98544,x98543,x98542,x98541))),x98545))+~P1(f775(f775(f334(f856(x98541,x98541)),f775(f775(f241(x98541,x98541),x98542),x98543)),f300(x98541,f775(f775(f103(f857(f856(x98541,x98541),a844)),x98544),x98545))))
% 184.29/184.10 [9855]P1(f775(f775(f334(f856(x98551,x98551)),f775(f775(f241(x98551,x98551),x98552),x98553)),f300(x98551,x98554)))+P1(f775(f775(f334(f856(x98551,x98551)),f775(f775(f241(x98551,x98551),f657(x98555,x98554,x98553,x98552,x98551)),f656(x98555,x98554,x98553,x98552,x98551))),x98555))+~P1(f775(f775(f334(f856(x98551,x98551)),f775(f775(f241(x98551,x98551),x98552),x98553)),f300(x98551,f775(f775(f103(f857(f856(x98551,x98551),a844)),x98554),x98555))))
% 184.29/184.10 [9980]~P1(f775(f775(f334(f856(f851(x99801),f851(x99801))),f775(f775(f241(f851(x99801),f851(x99801)),x99804),x99805)),f147(x99801,x99802)))+~P1(f775(f775(f334(f856(x99801,x99801)),x99803),f775(f158(f856(x99801,x99801)),f775(f775(f167(x99801,x99801),x99804),x99805))))+P1(f775(f775(f251(x99801,x99801,a844),f775(f775(f9(x99801,f857(f856(x99801,x99801),a844),f857(x99801,a844)),f775(f775(f10(f857(x99801,f857(f857(f856(x99801,x99801),a844),a844)),f857(f857(f856(x99801,x99801),a844),f857(x99801,a844)),x99801),f9(x99801,f857(f856(x99801,x99801),a844),a844)),f775(f775(f10(f857(x99801,f856(x99801,x99801)),f857(x99801,f857(f857(f856(x99801,x99801),a844),a844)),x99801),f775(f10(f856(x99801,x99801),f857(f857(f856(x99801,x99801),a844),a844),x99801),f334(f856(x99801,x99801)))),f241(x99801,x99801)))),x99802)),x99803))
% 184.29/184.10 [9445]~P1(f775(f775(f232(a850),x94453),x94452))+~P1(f775(f775(f233(a850),f775(f775(f82(a850),f775(f775(f83(a850),x94453),x94454)),x94451)),f775(f775(f82(a850),f775(f775(f83(a850),x94452),x94454)),x94455)))+P1(f775(f775(f233(a850),x94451),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x94452),x94453)),x94454)),x94455)))
% 184.29/184.10 [9446]~P1(f775(f775(f232(a850),x94463),x94462))+~P1(f775(f775(f232(a850),f775(f775(f82(a850),f775(f775(f83(a850),x94463),x94464)),x94461)),f775(f775(f82(a850),f775(f775(f83(a850),x94462),x94464)),x94465)))+P1(f775(f775(f232(a850),x94461),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x94462),x94463)),x94464)),x94465)))
% 184.29/184.10 [9466]~P1(f775(f775(f232(a850),x94661),x94664))+P1(f775(f775(f233(a850),f775(f775(f82(a850),f775(f775(f83(a850),x94661),x94662)),x94663)),f775(f775(f82(a850),f775(f775(f83(a850),x94664),x94662)),x94665)))+~P1(f775(f775(f233(a850),x94663),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x94664),x94661)),x94662)),x94665)))
% 184.29/184.10 [9467]~P1(f775(f775(f232(a850),x94671),x94674))+P1(f775(f775(f232(a850),f775(f775(f82(a850),f775(f775(f83(a850),x94671),x94672)),x94673)),f775(f775(f82(a850),f775(f775(f83(a850),x94674),x94672)),x94675)))+~P1(f775(f775(f232(a850),x94673),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x94674),x94671)),x94672)),x94675)))
% 184.29/184.10 [9573]~P1(f775(f775(f232(a850),x95732),x95731))+~P1(f775(f775(f233(a850),f775(f775(f82(a850),f775(f775(f83(a850),x95731),x95733)),x95734)),f775(f775(f82(a850),f775(f775(f83(a850),x95732),x95733)),x95735)))+P1(f775(f775(f233(a850),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x95731),x95732)),x95733)),x95734)),x95735))
% 184.29/184.10 [9574]~P1(f775(f775(f232(a850),x95742),x95741))+~P1(f775(f775(f232(a850),f775(f775(f82(a850),f775(f775(f83(a850),x95741),x95743)),x95744)),f775(f775(f82(a850),f775(f775(f83(a850),x95742),x95743)),x95745)))+P1(f775(f775(f232(a850),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x95741),x95742)),x95743)),x95744)),x95745))
% 184.29/184.10 [9615]~P1(f775(f775(f232(a850),x96154),x96151))+P1(f775(f775(f233(a850),f775(f775(f82(a850),f775(f775(f83(a850),x96151),x96152)),x96153)),f775(f775(f82(a850),f775(f775(f83(a850),x96154),x96152)),x96155)))+~P1(f775(f775(f233(a850),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x96151),x96154)),x96152)),x96153)),x96155))
% 184.29/184.10 [9616]~P1(f775(f775(f232(a850),x96164),x96161))+P1(f775(f775(f232(a850),f775(f775(f82(a850),f775(f775(f83(a850),x96161),x96162)),x96163)),f775(f775(f82(a850),f775(f775(f83(a850),x96164),x96162)),x96165)))+~P1(f775(f775(f232(a850),f775(f775(f82(a850),f775(f775(f83(a850),f775(f775(f3(a850),x96161),x96164)),x96162)),x96163)),x96165))
% 184.29/184.10 [9839]~P16(x98391,x98392,x98395,x98393)+~P1(f775(f775(f334(f856(x98391,x98391)),x98394),x98395))+P1(f775(f775(f251(x98391,x98391,a844),f775(f775(f9(x98391,f857(x98391,x98392),f857(x98391,a844)),f775(f775(f10(f857(x98392,a844),f857(f857(x98391,x98392),f857(x98391,a844)),x98391),f10(x98392,a844,x98391)),f775(f775(f10(x98392,f857(x98392,a844),x98391),a330),x98393))),x98393)),x98394))
% 184.29/184.10 [7166]~P39(x71664,x71662,x71665,x71666)+P39(f33(x71661,x71663,x71664),x71662,x71665,x71666)+P1(f775(x71661,x71662))
% 184.29/184.10 [7246]~P39(x72462,x72464,x72465,x72466)+P39(f33(x72461,x72462,x72463),x72464,x72465,x72466)+~P1(f775(x72461,x72464))
% 184.29/184.10 [7337]P39(x73373,x73372,x73374,x73375)+~P39(f33(x73371,x73376,x73373),x73372,x73374,x73375)+P1(f775(x73371,x73372))
% 184.29/184.10 [7370]P39(x73701,x73702,x73703,x73704)+~P39(f33(x73705,x73701,x73706),x73702,x73703,x73704)+~P1(f775(x73705,x73702))
% 184.29/184.10 [7742]~P39(x77421,x77423,x77424,x77426)+~P39(x77422,x77426,x77424,x77425)+P39(f36(x77421,x77422),x77423,x77424,x77425)
% 184.29/184.10 [7745]P39(x77451,x77452,x77453,x77454)+P39(x77455,x77452,x77453,x77454)+~P39(f33(x77456,x77451,x77455),x77452,x77453,x77454)
% 184.29/184.10 [6714]~E(f775(x67144,x67145),f183(x67142))+E(f775(f170(x67141,x67142,x67143,x67144),x67145),f775(f227(x67142),x67146))+~E(f775(x67143,x67145),f775(f227(x67142),x67146))
% 184.29/184.10 [6821]~E(f775(x68213,x68216),f183(x68211))+E(f775(f229(f854(x68211),x68212,f183(x68211),x68213),f775(x68214,x68215)),f183(x68211))+~E(f775(x68214,x68215),f775(f227(x68212),x68216))
% 184.29/184.10 [7428]E(f775(x74281,x74282),f183(x74283))+~E(f775(f170(x74285,x74283,x74286,x74281),x74282),f775(f227(x74283),x74284))+E(f775(x74281,x74282),f775(f227(x74283),x74284))
% 184.29/184.10 [7466]~E(f775(f170(x74666,x74663,x74665,x74661),x74662),f775(f227(x74663),x74664))+E(f775(x74661,x74662),f775(f227(x74663),x74664))+E(f775(x74665,x74662),f775(f227(x74663),x74664))
% 184.29/184.10 [8357]~P23(x83576,x83571,x83572,x83574)+E(f775(f75(x83571,x83571,x83571,f775(x83572,x83573)),f775(x83574,x83575)),f775(f75(x83571,x83571,x83571,f775(x83574,x83575)),f775(x83572,x83573)))+~P1(f775(f63(x83576),x83575))
% 184.29/184.10 [8754]~P29(x87541,x87543,x87545,x87546)+~P29(x87543,x87542,x87544,f775(f303(x87541,x87543,x87545),x87546))+P29(x87541,x87542,f775(f75(x87543,x87542,x87541,x87544),x87545),x87546)
% 184.29/184.10 [9258]~P1(f775(f775(x92583,x92582),x92586))+~P1(f775(f775(x92584,x92585),x92582))+P1(f775(f775(f334(x92581),x92582),f292(x92581,x92583,x92584,x92585,x92586)))
% 184.29/184.10 [9259]~P1(f775(f775(x92594,x92592),x92596))+~P1(f775(f775(x92593,x92595),x92592))+P1(f775(f775(f334(x92591),x92592),f289(x92591,x92593,x92594,x92595,x92596)))
% 184.29/184.10 [9368]E(x93681,x93682)+E(x93683,x93684)+~P1(f775(f775(f334(f856(f851(x93685),f851(x93685))),f775(f775(f241(f851(x93685),f851(x93685)),f775(f775(f140(x93685),x93683),x93681)),f775(f775(f140(x93685),x93684),x93682))),f146(x93685,x93686)))
% 184.29/184.10 [9377]~E(x93772,x93774)+P1(f775(f775(f334(f856(f851(x93771),f851(x93771))),f775(f775(f241(f851(x93771),f851(x93771)),f775(f775(f140(x93771),x93772),x93773)),f775(f775(f140(x93771),x93774),x93775))),f135(x93771,x93776)))+~P1(f775(f775(f334(f856(f851(x93771),f851(x93771))),f775(f775(f241(f851(x93771),f851(x93771)),x93773),x93775)),f135(x93771,x93776)))
% 184.29/184.10 [9378]~E(x93782,x93784)+P1(f775(f775(f334(f856(f851(x93781),f851(x93781))),f775(f775(f241(f851(x93781),f851(x93781)),f775(f775(f140(x93781),x93782),x93783)),f775(f775(f140(x93781),x93784),x93785))),f137(x93781,x93786)))+~P1(f775(f775(f334(f856(f851(x93781),f851(x93781))),f775(f775(f241(f851(x93781),f851(x93781)),x93783),x93785)),f137(x93781,x93786)))
% 184.29/184.10 [9379]~E(x93792,x93794)+P1(f775(f775(f334(f856(f851(x93791),f851(x93791))),f775(f775(f241(f851(x93791),f851(x93791)),f775(f775(f140(x93791),x93792),x93793)),f775(f775(f140(x93791),x93794),x93795))),f146(x93791,x93796)))+~P1(f775(f775(f334(f856(f851(x93791),f851(x93791))),f775(f775(f241(f851(x93791),f851(x93791)),x93793),x93795)),f146(x93791,x93796)))
% 184.29/184.10 [9380]~E(x93802,x93804)+P1(f775(f775(f334(f856(f851(x93801),f851(x93801))),f775(f775(f241(f851(x93801),f851(x93801)),f775(f775(f125(x93801),x93802),x93803)),f775(f775(f125(x93801),x93804),x93805))),f146(x93801,x93806)))+~P1(f775(f775(f334(f856(f851(x93801),f851(x93801))),f775(f775(f241(f851(x93801),f851(x93801)),x93803),x93805)),f146(x93801,x93806)))
% 184.29/184.10 [9381]~E(x93813,x93815)+P1(f775(f775(f334(f856(f851(x93811),f851(x93811))),f775(f775(f241(f851(x93811),f851(x93811)),f775(f775(f125(x93811),x93812),x93813)),f775(f775(f125(x93811),x93814),x93815))),f146(x93811,x93816)))+~P1(f775(f775(f334(f856(f851(x93811),f851(x93811))),f775(f775(f241(f851(x93811),f851(x93811)),x93812),x93814)),f146(x93811,x93816)))
% 184.29/184.10 [9434]E(x94341,x94342)+P1(f775(f775(f334(f856(f851(x94343),f851(x94343))),f775(f775(f241(f851(x94343),f851(x94343)),x94341),x94342)),f146(x94343,x94344)))+~P1(f775(f775(f334(f856(f851(x94343),f851(x94343))),f775(f775(f241(f851(x94343),f851(x94343)),f775(f775(f140(x94343),x94345),x94341)),f775(f775(f140(x94343),x94346),x94342))),f146(x94343,x94344)))
% 184.29/184.10 [9575]~E(x95753,x95755)+P1(f775(f775(f334(f856(f851(x95751),f851(x95751))),f775(f775(f241(f851(x95751),f851(x95751)),f775(f775(f125(x95751),x95752),f775(f775(f140(x95751),x95753),f115(x95751)))),f775(f775(f125(x95751),x95754),f775(f775(f140(x95751),x95755),f115(x95751))))),f146(x95751,x95756)))+~P1(f775(f775(f334(f856(f851(x95751),f851(x95751))),f775(f775(f241(f851(x95751),f851(x95751)),x95752),x95754)),f146(x95751,x95756)))
% 184.29/184.10 [9586]E(f775(x95861,x95862),f183(x95863))+~E(f775(f229(f854(x95866),x95863,f183(x95866),x95864),f775(x95861,x95862)),f183(x95866))+E(f775(x95864,f706(x95862,x95861,x95864,x95865,x95866,x95863)),f183(x95866))
% 184.29/184.10 [9587]E(f775(x95871,x95872),f183(x95873))+~E(f775(f229(f854(x95876),x95873,f183(x95876),x95874),f775(x95871,x95872)),f183(x95876))+E(f775(f227(x95873),f706(x95872,x95871,x95874,x95875,x95876,x95873)),f775(x95871,x95872))
% 184.29/184.10 [9619]E(x96191,x96192)+E(x96193,x96194)+~P1(f775(f775(f334(f856(f851(x96195),f851(x96195))),f775(f775(f241(f851(x96195),f851(x96195)),f775(f775(f125(x96195),x96193),f775(f775(f140(x96195),x96191),f115(x96195)))),f775(f775(f125(x96195),x96194),f775(f775(f140(x96195),x96192),f115(x96195))))),f146(x96195,x96196)))
% 184.29/184.10 [9641]E(x96411,x96412)+~P1(f775(f775(f334(f856(f851(x96413),f851(x96413))),f775(f775(f241(f851(x96413),f851(x96413)),f775(f775(f125(x96413),x96411),f775(f775(f140(x96413),x96415),f115(x96413)))),f775(f775(f125(x96413),x96412),f775(f775(f140(x96413),x96416),f115(x96413))))),f146(x96413,x96414)))+P1(f775(f775(f334(f856(f851(x96413),f851(x96413))),f775(f775(f241(f851(x96413),f851(x96413)),x96411),x96412)),f146(x96413,x96414)))
% 184.29/184.10 [9670]~P1(f775(f775(f334(f856(f857(x96701,a844),f857(x96701,a844))),f775(f775(f241(f857(x96701,a844),f857(x96701,a844)),x96702),x96704)),f324(x96701,x96706)))+~P1(f775(f775(f334(f856(f857(x96701,a844),f857(x96701,a844))),f775(f775(f241(f857(x96701,a844),f857(x96701,a844)),x96703),x96705)),f324(x96701,x96706)))+P1(f775(f775(f334(f856(f857(x96701,a844),f857(x96701,a844))),f775(f775(f241(f857(x96701,a844),f857(x96701,a844)),f775(f775(f103(f857(x96701,a844)),x96702),x96703)),f775(f775(f103(f857(x96701,a844)),x96704),x96705))),f324(x96701,x96706)))
% 184.29/184.10 [5134]~E(f775(x51343,x51346),x51345)+~E(x51344,f775(f227(x51341),x51346))+E(f775(f775(f196(x51341,x51342),x51343),x51344),f775(f227(x51342),x51345))
% 184.29/184.10 [5532]~E(f775(f775(f125(x55321),x55326),x55323),x55325)+E(f775(f775(f125(x55321),x55322),x55323),f775(f775(f140(x55321),x55324),x55325))+~E(x55322,f775(f775(f140(x55321),x55324),x55326))
% 184.29/184.10 [5533]~E(f775(f775(f125(x55331),x55336),x55333),x55335)+E(f775(f775(f125(x55331),x55332),x55333),f775(f775(f125(x55331),x55334),x55335))+~E(x55332,f775(f775(f125(x55331),x55334),x55336))
% 184.29/184.10 [5535]E(f775(f775(f125(x55351),x55352),x55353),f775(f775(f140(x55351),x55354),x55355))+~E(f775(f775(f140(x55351),x55354),x55356),x55352)+~E(x55355,f775(f775(f125(x55351),x55356),x55353))
% 184.29/184.10 [5537]~E(f775(f775(f125(x55371),x55372),x55376),x55374)+E(f775(f775(f125(x55371),x55372),x55373),f775(f775(f125(x55371),x55374),x55375))+~E(x55373,f775(f775(f125(x55371),x55376),x55375))
% 184.29/184.10 [6706]E(f775(x67061,x67062),f775(x67063,x67062))+~E(f775(f775(f143(x67064,x67065),x67061),x67066),f775(f775(f143(x67064,x67065),x67063),x67066))+~P1(f775(f775(f334(x67064),x67062),f775(f158(x67064),x67066)))
% 184.29/184.10 [7102]~P23(x71024,x71025,x71026,x71021)+E(f775(f775(x71021,x71022),x71023),f775(f775(f66(x71024,x71025,x71026),x71023),x71022))+~P1(f775(f63(x71024),x71022))
% 184.29/184.10 [7171]~E(x71712,f775(x71714,x71716))+~P1(f775(f775(f334(x71713),x71716),x71715))+P1(f775(f775(f334(x71711),x71712),f775(f303(x71713,x71711,x71714),x71715)))
% 184.29/184.10 [7172]~E(f775(x71724,x71722),x71726)+~P1(f775(f775(f334(x71723),x71726),x71725))+P1(f775(f775(f334(x71721),x71722),f775(f305(x71721,x71723,x71724),x71725)))
% 184.29/184.10 [7648]~P34(x76481,x76482,x76484,x76486)+P34(x76481,x76482,f775(f775(f140(x76481),x76483),x76484),f775(f775(f140(x76481),x76485),x76486))+~P1(f775(f775(x76482,x76483),x76485))
% 184.29/184.10 [8637]~P55(x86374,x86375,x86371,x86372,x86376)+E(f775(x86371,f775(x86372,x86373)),x86373)+~P1(f775(f775(f334(x86375),x86373),x86376))
% 184.29/184.10 [9370]E(x93701,x93702)+E(f775(f181(f851(x93703)),x93704),f775(f181(f851(x93703)),x93705))+~P1(f775(f775(f334(f856(f851(x93703),f851(x93703))),f775(f775(f241(f851(x93703),f851(x93703)),f775(f775(f140(x93703),x93701),x93704)),f775(f775(f140(x93703),x93702),x93705))),f135(x93703,x93706)))
% 184.29/184.10 [9431]~P20(x94311,x94312,x94313)+E(f775(f775(f66(x94311,x94312,x94313),x94314),x94315),x94316)+~P1(f775(f68(x94311,x94312,x94313,x94314,x94315),x94316))
% 184.29/184.10 [9437]E(f775(f181(f851(x94371)),x94372),f775(f181(f851(x94371)),x94373))+P1(f775(f775(f334(f856(f851(x94371),f851(x94371))),f775(f775(f241(f851(x94371),f851(x94371)),x94372),x94373)),f135(x94371,x94374)))+~P1(f775(f775(f334(f856(f851(x94371),f851(x94371))),f775(f775(f241(f851(x94371),f851(x94371)),f775(f775(f140(x94371),x94375),x94372)),f775(f775(f140(x94371),x94376),x94373))),f135(x94371,x94374)))
% 184.29/184.10 [9458]~P1(f775(f775(f334(f856(x94581,x94581)),f775(f775(f241(x94581,x94581),x94582),x94584)),f300(x94581,x94586)))+P1(f775(f775(f334(f856(f851(x94581),f851(x94581))),f775(f775(f241(f851(x94581),f851(x94581)),f775(f775(f140(x94581),x94582),x94583)),f775(f775(f140(x94581),x94584),x94585))),f300(f851(x94581),f146(x94581,x94586))))+~P1(f775(f775(f334(f856(f851(x94581),f851(x94581))),f775(f775(f241(f851(x94581),f851(x94581)),x94583),x94585)),f300(f851(x94581),f146(x94581,x94586))))
% 184.29/184.10 [9931]~P66(x99312)+E(f775(f775(f8(x99311,x99312),f775(f775(f10(f857(x99313,a844),x99312,x99311),f775(f8(x99313,x99312),x99314)),f775(f775(f10(f857(x99313,a844),f857(x99313,a844),x99311),f256(x99313)),f775(f775(f10(f857(x99313,a844),f857(x99313,a844),x99311),f775(f20(x99313,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99313),a331),f775(f775(f9(x99313,f857(x99313,a844),a844),f334(x99313)),x99315)))),f775(f9(x99313,x99311,a844),f775(f775(f10(x99311,f857(x99311,a844),x99313),a330),x99316)))))),f775(f303(x99313,x99311,x99316),x99315)),f775(f775(f8(x99313,x99312),x99314),x99315))+~P1(f775(f63(x99313),x99315))
% 184.29/184.10 [6768]~P100(x67683)+P1(f775(x67682,x67685))+E(f775(f126(x67681,x67682),f775(f775(f138(x67681,x67683,x67684),x67685),x67686)),f775(f126(x67681,x67682),x67686))
% 184.29/184.10 [6770]P1(f775(x67701,x67702))+~E(f156(x67703,x67701,x67704),f775(f775(f241(f851(x67703),f851(x67703)),x67705),x67706))+~P1(f775(f775(f334(x67703),x67702),f775(f158(x67703),x67705)))
% 184.29/184.10 [6818]~P1(f775(x68182,x68186))+~E(f156(x68181,x68182,x68183),f775(f775(f241(f851(x68181),f851(x68181)),x68184),x68185))+~P1(f775(f775(f334(x68181),x68186),f775(f158(x68181),x68185)))
% 184.29/184.10 [7511]~P19(x75111,x75112,x75113)+~P1(f775(f63(x75111),x75116))+E(f775(f775(f66(x75111,x75112,x75113),x75114),f775(f775(f302(x75111),x75115),x75116)),f775(f775(f66(x75111,x75112,x75113),f775(f775(x75113,x75115),x75114)),x75116))
% 184.29/184.10 [7563]~P100(x75632)+~P1(f775(f775(f232(x75632),f775(x75633,x75634)),f775(x75633,x75635)))+E(f775(f775(f138(x75631,x75632,x75633),x75634),f775(f775(f140(x75631),x75635),x75636)),f775(f775(f140(x75631),x75634),f775(f775(f140(x75631),x75635),x75636)))
% 184.29/184.10 [7679]E(x76791,x76792)+~E(f775(f775(f248(x76793,x76794),x76791),f775(f18(f857(x76794,a844),x76793),x76795)),f775(f775(f248(x76793,x76794),x76792),f775(f18(f857(x76794,a844),x76793),x76795)))+~P1(f775(f775(f334(x76794),x76796),x76795))
% 184.29/184.10 [7747]~P19(x77471,x77472,x77473)+~P1(f775(f63(x77471),x77476))+E(f775(f775(f66(x77471,x77472,x77473),x77474),f775(f775(f302(x77471),x77475),x77476)),f775(f775(x77473,x77475),f775(f775(f66(x77471,x77472,x77473),x77474),x77476)))
% 184.29/184.10 [7863]~P20(x78631,x78632,x78633)+~P1(f775(f63(x78631),x78636))+E(f775(f775(f66(x78631,x78632,x78633),f775(f775(x78633,x78634),x78635)),x78636),f775(f775(x78633,x78634),f775(f775(f66(x78631,x78632,x78633),x78635),x78636)))
% 184.29/184.10 [7931]~P24(x79312,x79315,x79316,x79311)+~P1(f775(f63(x79312),x79314))+E(f775(x79311,f775(f775(f302(x79312),x79313),x79314)),f775(f75(x79315,x79315,x79315,f775(x79311,x79314)),f775(x79316,x79313)))
% 184.29/184.10 [7969]~P100(x79692)+P1(f775(f775(f232(x79692),f775(x79693,x79694)),f775(x79693,x79695)))+E(f775(f775(f138(x79691,x79692,x79693),x79694),f775(f775(f140(x79691),x79695),x79696)),f775(f775(f140(x79691),x79695),f775(f775(f138(x79691,x79692,x79693),x79694),x79696)))
% 184.29/184.10 [8102]~E(f775(f181(f851(x81021)),x81025),f775(f181(f851(x81022)),x81026))+~E(f775(f181(f851(x81021)),x81023),f775(f181(f851(x81022)),x81024))+E(f775(f775(f125(f856(x81021,x81022)),f775(f775(f167(x81021,x81022),x81023),x81024)),f775(f775(f167(x81021,x81022),x81025),x81026)),f775(f775(f167(x81021,x81022),f775(f775(f125(x81021),x81023),x81025)),f775(f775(f125(x81022),x81024),x81026)))
% 184.29/184.10 [8211]~E(x82112,f775(f303(x82113,x82111,x82114),x82116))+P1(f775(f775(f232(f857(x82111,a844)),x82112),f775(f303(x82113,x82111,x82114),x82115)))+~P1(f775(f775(f232(f857(x82113,a844)),x82116),x82115))
% 184.29/184.10 [8313]~P100(x83135)+E(f775(x83131,x83132),f775(x83131,x83133))+E(f775(f775(f138(x83134,x83135,x83131),x83132),f775(f775(f138(x83134,x83135,x83131),x83133),x83136)),f775(f775(f138(x83134,x83135,x83131),x83133),f775(f775(f138(x83134,x83135,x83131),x83132),x83136)))
% 184.29/184.10 [8350]~P29(x83503,x83501,x83504,x83505)+P29(x83503,x83501,f775(f775(f775(f74(x83503,x83501),x83504),x83506),x83502),x83505)+P1(f775(f775(f334(x83501),x83502),f775(f303(x83503,x83501,x83504),x83505)))
% 184.29/184.10 [8497]~P1(f775(f775(f334(x84972),x84974),f775(x84976,x84973)))+~P1(f775(f775(f334(x84971),x84973),x84975))+P1(f775(f775(f334(f856(x84971,x84972)),f775(f775(f241(x84971,x84972),x84973),x84974)),f775(f775(f248(x84971,x84972),x84975),x84976)))
% 184.29/184.10 [8906]~P66(x89062)+~P29(x89064,x89061,x89065,x89066)+E(f775(f775(f8(x89061,x89062),x89063),f775(f303(x89064,x89061,x89065),x89066)),f775(f775(f8(x89064,x89062),f775(f75(x89061,x89062,x89064,x89063),x89065)),x89066))
% 184.29/184.10 [8907]~P70(x89072)+~P29(x89074,x89071,x89075,x89076)+E(f775(f775(f11(x89071,x89072),x89073),f775(f303(x89074,x89071,x89075),x89076)),f775(f775(f11(x89074,x89072),f775(f75(x89071,x89072,x89074,x89073),x89075)),x89076))
% 184.29/184.10 [9146]~P23(x91463,x91461,x91466,x91462)+~P1(f775(f63(x91463),x91464))+E(f775(f75(x91461,x91461,x91461,f775(x91462,f775(f775(f3(f857(x91463,a844)),x91464),f775(f775(f302(x91463),x91465),f180(f857(x91463,a844)))))),f775(x91466,x91465)),f775(x91462,f775(f775(f302(x91463),x91465),x91464)))
% 184.29/184.10 [9699]~E(f775(f303(x96992,x96994,x96996),f239(f857(x96992,a844))),f239(f857(x96994,a844)))+~E(f775(f303(x96991,x96993,x96995),f239(f857(x96991,a844))),f239(f857(x96993,a844)))+E(f775(f303(f856(x96991,x96992),f856(x96993,x96994),f252(x96991,x96993,x96992,x96994,x96995,x96996)),f239(f857(f856(x96991,x96992),a844))),f239(f857(f856(x96993,x96994),a844)))
% 184.29/184.10 [9761]~P29(x97613,x97614,x97615,f775(x97616,f690(x97616,x97615,x97614,x97613,x97612,x97611)))+P29(x97613,x97614,x97615,f775(f775(f47(x97612,f857(x97613,a844)),x97611),x97616))+E(x97611,f180(f857(x97612,a844)))
% 184.29/184.10 [9818]P29(x98186,x98185,x98184,f775(f775(f47(x98182,f857(x98186,a844)),x98181),x98183))+E(x98181,f180(f857(x98182,a844)))+P1(f775(f775(f334(x98182),f690(x98183,x98184,x98185,x98186,x98182,x98181)),x98181))
% 184.29/184.10 [9825]P1(f775(f775(f334(x98251),f620(x98252,x98253,x98254,x98255,x98256,x98251)),x98256))+P1(f775(f775(f232(f857(f856(x98251,x98254),a844)),f775(f775(f248(x98251,x98254),x98256),x98253)),f775(f775(f248(x98251,x98254),x98255),x98252)))+~P1(f775(f775(f232(f857(x98251,a844)),x98256),x98255))
% 184.29/184.10 [9868]P28(x98686,x98685,f775(f775(f302(f849(x98686)),f775(f775(f775(f93(x98686),x98684),x98683),x98682)),f180(f857(f849(x98686),a844))))+~P28(x98686,x98685,f775(f775(f302(f849(x98686)),f775(f775(f775(f93(x98686),x98684),x98683),x98681)),f180(f857(f849(x98686),a844))))+P1(f775(f775(x98681,f541(x98682,x98681,x98683,x98684,x98685,x98686)),f542(x98682,x98681,x98683,x98684,x98685,x98686)))
% 184.29/184.10 [9869]P28(x98696,x98695,f775(f775(f302(f849(x98696)),f775(f775(f775(f93(x98696),x98691),x98693),x98692)),f180(f857(f849(x98696),a844))))+~P28(x98696,x98695,f775(f775(f302(f849(x98696)),f775(f775(f775(f93(x98696),x98694),x98693),x98692)),f180(f857(f849(x98696),a844))))+P1(f775(f775(x98691,f543(x98691,x98692,x98693,x98694,x98695,x98696)),f544(x98691,x98692,x98693,x98694,x98695,x98696)))
% 184.29/184.10 [9906]~P28(x99061,x99062,f775(f775(f302(f849(x99061)),f775(f775(f775(f93(x99061),x99063),x99064),x99066)),f180(f857(f849(x99061),a844))))+P28(x99061,x99062,f775(f775(f302(f849(x99061)),f775(f775(f775(f93(x99061),x99063),x99064),x99065)),f180(f857(f849(x99061),a844))))+~P1(f775(f775(x99065,f541(x99065,x99066,x99064,x99063,x99062,x99061)),f542(x99065,x99066,x99064,x99063,x99062,x99061)))
% 184.29/184.10 [9907]~P28(x99071,x99072,f775(f775(f302(f849(x99071)),f775(f775(f775(f93(x99071),x99076),x99074),x99075)),f180(f857(f849(x99071),a844))))+P28(x99071,x99072,f775(f775(f302(f849(x99071)),f775(f775(f775(f93(x99071),x99073),x99074),x99075)),f180(f857(f849(x99071),a844))))+~P1(f775(f775(x99076,f543(x99073,x99075,x99074,x99076,x99072,x99071)),f544(x99073,x99075,x99074,x99076,x99072,x99071)))
% 184.29/184.10 [9948]~P1(f775(f775(f232(f857(x99482,a844)),f775(x99484,f620(x99486,x99484,x99482,x99485,x99483,x99481))),f775(x99486,f620(x99486,x99484,x99482,x99485,x99483,x99481))))+~P1(f775(f775(f232(f857(x99481,a844)),x99483),x99485))+P1(f775(f775(f232(f857(f856(x99481,x99482),a844)),f775(f775(f248(x99481,x99482),x99483),x99484)),f775(f775(f248(x99481,x99482),x99485),x99486)))
% 184.29/184.10 [7696]~P1(f775(x76961,x76965))+~P1(f775(x76966,x76964))+P1(f775(x76961,f775(f250(x76962,x76963),f775(f775(f241(x76962,x76963),x76964),x76965))))
% 184.29/184.10 [7697]~P1(f775(x76971,x76974))+~P1(f775(x76976,x76975))+P1(f775(x76971,f775(f240(x76972,x76973),f775(f775(f241(x76972,x76973),x76974),x76975))))
% 184.29/184.10 [7752]~P1(f775(f775(x77524,x77526),x77525))+~P1(f775(f775(f334(x77521),x77526),x77523))+P1(f775(f775(f775(f46(x77521,f857(x77522,a844)),x77523),x77524),x77525))
% 184.29/184.10 [7785]~E(f775(f181(f851(x77851)),x77853),f775(f181(f851(x77854)),x77855))+~E(f775(f166(x77851,x77854,f775(f775(f167(x77851,x77854),x77853),x77855)),x77852),f775(f227(x77854),x77856))+P1(f775(f775(f334(x77851),x77852),f775(f158(x77851),x77853)))
% 184.29/184.10 [8055]~P1(f775(f775(f334(x80551),x80552),f775(x80555,x80556)))+~P1(f775(f775(f334(x80553),x80556),x80554))+P1(f775(f775(f334(x80551),x80552),f775(f775(f46(x80553,f857(x80551,a844)),x80554),x80555)))
% 184.29/184.10 [8095]P1(f775(f775(x80951,x80952),x80953))+~P1(f775(f775(x80954,x80952),x80953))+~P1(f775(f775(f232(f857(x80955,f857(x80956,a844))),x80954),x80951))
% 184.29/184.10 [8235]P1(f775(f775(x82351,x82352),x82353))+~P1(f775(f775(f334(x82354),x82352),x82355))+~P1(f775(f775(f775(f47(x82354,f857(x82356,a844)),x82355),x82351),x82353))
% 184.29/184.10 [8373]P1(f775(f775(f334(x83731),x83732),f775(x83733,x83734)))+~P1(f775(f775(f334(x83735),x83734),x83736))+~P1(f775(f775(f334(x83731),x83732),f775(f775(f47(x83735,f857(x83731,a844)),x83736),x83733)))
% 184.29/184.10 [8619]~P16(x86194,x86195,x86196,x86191)+E(f775(x86191,x86192),f775(x86191,x86193))+~P1(f775(f775(f334(f856(x86194,x86194)),f775(f775(f241(x86194,x86194),x86192),x86193)),x86196))
% 184.29/184.10 [8650]P1(f775(f775(f232(f857(x86501,a844)),x86502),f775(x86503,x86504)))+~P1(f775(f775(f334(x86505),x86504),x86506))+~P1(f775(f775(f232(f857(x86501,a844)),x86502),f775(f775(f47(x86505,f857(x86501,a844)),x86506),x86503)))
% 184.29/184.10 [8675]~P53(x86753,x86754,f775(f278(x86754,x86753),x86755))+E(x86751,f180(f857(x86752,a844)))+E(f775(f775(f47(x86752,f857(x86753,a844)),x86751),f775(f775(f10(f857(x86754,a844),f857(x86753,a844),x86752),f277(x86754,x86753,x86755)),x86756)),f775(f277(x86754,x86753,x86755),f775(f775(f47(x86752,f857(x86754,a844)),x86751),x86756)))
% 184.29/184.10 [8747]P1(f775(f775(f334(x87471),x87472),f775(f277(x87473,x87471,x87474),x87475)))+~P1(f775(f775(f334(x87473),x87476),x87475))+~P1(f775(f775(f334(f856(x87473,x87471)),f775(f775(f241(x87473,x87471),x87476),x87472)),x87474))
% 184.29/184.10 [9024]P1(f775(f775(f232(f857(x90241,a844)),f775(f277(x90242,x90241,x90243),x90244)),f775(f277(x90242,x90241,x90245),x90246)))+~P1(f775(f775(f232(f857(x90242,a844)),x90244),x90246))+~P1(f775(f775(f232(f857(f856(x90242,x90241),a844)),x90243),x90245))
% 184.29/184.10 [9180]~P1(f775(f775(f334(x91802),x91806),x91804))+~P1(f775(f775(f232(f857(x91801,a844)),x91803),x91805))+P1(f775(f775(f232(f857(f856(x91801,x91802),a844)),f775(f775(f248(x91801,x91802),x91803),f775(f18(f857(x91802,a844),x91801),x91804))),f775(f775(f248(x91801,x91802),x91805),f775(f18(f857(x91802,a844),x91801),x91804))))
% 184.29/184.10 [9328]~E(x93283,x93285)+P1(f775(f775(f334(f856(f851(x93281),f851(x93281))),f775(f775(f241(f851(x93281),f851(x93281)),f775(f775(f140(x93281),x93282),x93283)),f775(f775(f140(x93281),x93284),x93285))),f146(x93281,x93286)))+~P1(f775(f775(f334(f856(x93281,x93281)),f775(f775(f241(x93281,x93281),x93282),x93284)),x93286))
% 184.29/184.10 [9334]~E(f775(f181(f851(x93341)),x93343),f775(f181(f851(x93341)),x93345))+P1(f775(f775(f334(f856(f851(x93341),f851(x93341))),f775(f775(f241(f851(x93341),f851(x93341)),f775(f775(f140(x93341),x93342),x93343)),f775(f775(f140(x93341),x93344),x93345))),f135(x93341,x93346)))+~P1(f775(f775(f334(f856(x93341,x93341)),f775(f775(f241(x93341,x93341),x93342),x93344)),x93346))
% 184.29/184.10 [9362]P1(f775(f775(f334(f856(x93621,x93621)),f775(f775(f241(x93621,x93621),x93622),x93623)),f775(f775(f173(f856(x93621,x93621),a844),f775(a114,x93624)),x93625)))+~P1(f775(f775(f334(f856(x93621,x93621)),f775(f775(f241(x93621,x93621),x93626),x93623)),x93625))+~P1(f775(f775(f334(f856(x93621,x93621)),f775(f775(f241(x93621,x93621),x93622),x93626)),f775(f775(f173(f856(x93621,x93621),a844),x93624),x93625)))
% 184.29/184.10 [9363]P1(f775(f775(f334(f856(x93631,x93631)),f775(f775(f241(x93631,x93631),x93632),x93633)),f775(f775(f173(f856(x93631,x93631),a844),f775(a114,x93634)),x93635)))+~P1(f775(f775(f334(f856(x93631,x93631)),f775(f775(f241(x93631,x93631),x93632),x93636)),x93635))+~P1(f775(f775(f334(f856(x93631,x93631)),f775(f775(f241(x93631,x93631),x93636),x93633)),f775(f775(f173(f856(x93631,x93631),a844),x93634),x93635)))
% 184.29/184.10 [9366]~P1(f775(f775(f334(x93664),x93665),x93666))+P1(f775(f775(f232(f857(x93661,a844)),x93662),x93663))+~P1(f775(f775(f232(f857(f856(x93661,x93664),a844)),f775(f775(f248(x93661,x93664),x93662),f775(f18(f857(x93664,a844),x93661),x93666))),f775(f775(f248(x93661,x93664),x93663),f775(f18(f857(x93664,a844),x93661),x93666))))
% 184.29/184.10 [9406]E(x94061,x94062)+~P1(f775(f775(f334(f856(f851(x94063),f851(x94063))),f775(f775(f241(f851(x94063),f851(x94063)),f775(f775(f140(x94063),x94061),x94065)),f775(f775(f140(x94063),x94062),x94066))),f135(x94063,x94064)))+P1(f775(f775(f334(f856(x94063,x94063)),f775(f775(f241(x94063,x94063),x94061),x94062)),x94064))
% 184.29/184.10 [9407]E(x94071,x94072)+~P1(f775(f775(f334(f856(f851(x94073),f851(x94073))),f775(f775(f241(f851(x94073),f851(x94073)),f775(f775(f140(x94073),x94071),x94075)),f775(f775(f140(x94073),x94072),x94076))),f137(x94073,x94074)))+P1(f775(f775(f334(f856(x94073,x94073)),f775(f775(f241(x94073,x94073),x94071),x94072)),x94074))
% 184.29/184.10 [9408]E(x94081,x94082)+~P1(f775(f775(f334(f856(f851(x94083),f851(x94083))),f775(f775(f241(f851(x94083),f851(x94083)),f775(f775(f140(x94083),x94081),x94085)),f775(f775(f140(x94083),x94082),x94086))),f146(x94083,x94084)))+P1(f775(f775(f334(f856(x94083,x94083)),f775(f775(f241(x94083,x94083),x94081),x94082)),x94084))
% 184.29/184.10 [9444]P1(f775(f775(f334(f856(f851(x94441),f851(x94441))),f775(f775(f241(f851(x94441),f851(x94441)),f775(f775(f140(x94441),x94442),x94443)),f775(f775(f140(x94441),x94444),x94445))),f147(x94441,x94446)))+~P1(f775(f775(f334(f856(f851(x94441),f851(x94441))),f775(f775(f241(f851(x94441),f851(x94441)),x94443),x94445)),f147(x94441,x94446)))+~P1(f775(f775(f334(f856(x94441,x94441)),f775(f775(f241(x94441,x94441),x94442),x94444)),x94446))
% 184.29/184.10 [9464]P1(f775(x94641,x94642))+~P1(f775(x94641,f388(x94641,x94643,x94644,x94645,x94646)))+~P1(f775(f775(f334(x94646),x94642),f775(f775(f46(x94645,f857(x94646,a844)),x94644),x94643)))
% 184.29/184.10 [9469]~P1(f775(f775(f334(f856(f851(x94691),f851(x94691))),f775(f775(f241(f851(x94691),f851(x94691)),f775(f775(f140(x94691),x94692),x94695)),f775(f775(f140(x94691),x94693),x94696))),f135(x94691,x94694)))+P1(f775(f775(f334(f856(f851(x94691),f851(x94691))),f775(f775(f241(f851(x94691),f851(x94691)),x94695),x94696)),f135(x94691,x94694)))+P1(f775(f775(f334(f856(x94691,x94691)),f775(f775(f241(x94691,x94691),x94692),x94693)),x94694))
% 184.29/184.10 [9470]~P1(f775(f775(f334(f856(f851(x94701),f851(x94701))),f775(f775(f241(f851(x94701),f851(x94701)),f775(f775(f140(x94701),x94702),x94705)),f775(f775(f140(x94701),x94703),x94706))),f137(x94701,x94704)))+P1(f775(f775(f334(f856(f851(x94701),f851(x94701))),f775(f775(f241(f851(x94701),f851(x94701)),x94705),x94706)),f137(x94701,x94704)))+P1(f775(f775(f334(f856(x94701,x94701)),f775(f775(f241(x94701,x94701),x94702),x94703)),x94704))
% 184.29/184.10 [9471]~P1(f775(f775(f334(f856(f851(x94711),f851(x94711))),f775(f775(f241(f851(x94711),f851(x94711)),f775(f775(f140(x94711),x94712),x94715)),f775(f775(f140(x94711),x94713),x94716))),f146(x94711,x94714)))+P1(f775(f775(f334(f856(f851(x94711),f851(x94711))),f775(f775(f241(f851(x94711),f851(x94711)),x94715),x94716)),f146(x94711,x94714)))+P1(f775(f775(f334(f856(x94711,x94711)),f775(f775(f241(x94711,x94711),x94712),x94713)),x94714))
% 184.29/184.10 [9547]P1(f775(x95471,x95472))+P1(f775(f775(f334(x95473),f389(x95471,x95474,x95475,x95473,x95476)),x95475))+~P1(f775(f775(f334(x95476),x95472),f775(f775(f46(x95473,f857(x95476,a844)),x95475),x95474)))
% 184.29/184.10 [9553]~E(x95532,x95534)+P1(f775(f775(f334(f856(f851(x95531),f851(x95531))),f775(f775(f241(f851(x95531),f851(x95531)),f775(f775(f125(x95531),x95532),f775(f775(f140(x95531),x95533),f115(x95531)))),f775(f775(f125(x95531),x95534),f775(f775(f140(x95531),x95535),f115(x95531))))),f146(x95531,x95536)))+~P1(f775(f775(f334(f856(x95531,x95531)),f775(f775(f241(x95531,x95531),x95533),x95535)),x95536))
% 184.29/184.10 [9633]E(x96331,x96332)+~P1(f775(f775(f334(f856(f851(x96333),f851(x96333))),f775(f775(f241(f851(x96333),f851(x96333)),f775(f775(f125(x96333),x96335),f775(f775(f140(x96333),x96331),f115(x96333)))),f775(f775(f125(x96333),x96336),f775(f775(f140(x96333),x96332),f115(x96333))))),f146(x96333,x96334)))+P1(f775(f775(f334(f856(x96333,x96333)),f775(f775(f241(x96333,x96333),x96331),x96332)),x96334))
% 184.29/184.10 [9658]~P1(f775(f775(f334(f856(f851(x96581),f851(x96581))),f775(f775(f241(f851(x96581),f851(x96581)),f775(f775(f125(x96581),x96585),f775(f775(f140(x96581),x96582),f115(x96581)))),f775(f775(f125(x96581),x96586),f775(f775(f140(x96581),x96583),f115(x96581))))),f146(x96581,x96584)))+P1(f775(f775(f334(f856(f851(x96581),f851(x96581))),f775(f775(f241(f851(x96581),f851(x96581)),x96585),x96586)),f146(x96581,x96584)))+P1(f775(f775(f334(f856(x96581,x96581)),f775(f775(f241(x96581,x96581),x96582),x96583)),x96584))
% 184.29/184.10 [9671]P1(f775(x96711,x96712))+P1(f775(f775(f334(x96713),f388(x96711,x96714,x96715,x96716,x96713)),f775(x96714,f389(x96711,x96714,x96715,x96716,x96713))))+~P1(f775(f775(f334(x96713),x96712),f775(f775(f46(x96716,f857(x96713,a844)),x96715),x96714)))
% 184.29/184.10 [8760]~P20(x87603,x87604,x87601)+~P1(f775(f63(x87603),x87606))+E(f775(f775(x87601,x87602),f775(f775(f66(x87603,x87604,x87601),x87605),f775(f775(f3(f857(x87603,a844)),x87606),f775(f775(f302(x87603),x87602),f180(f857(x87603,a844)))))),f775(f775(f66(x87603,x87604,x87601),x87605),f775(f775(f302(x87603),x87602),x87606)))
% 184.29/184.10 [8857]~E(f775(f166(x88571,x88572,x88574),x88575),f775(f227(x88572),x88576))+~P1(f775(f775(x88573,x88575),x88576))+E(f775(f166(x88571,x88572,f775(f126(f856(x88571,x88572),f775(f251(x88571,x88572,a844),x88573)),x88574)),x88575),f775(f227(x88572),x88576))
% 184.29/184.10 [9030]~P1(f775(f775(f334(x90305),x90303),x90306))+P1(f775(f775(f232(f857(x90301,a844)),f775(x90302,x90303)),x90304))+~P1(f775(f775(f232(f857(x90301,a844)),f775(f775(f46(x90305,f857(x90301,a844)),x90306),x90302)),x90304))
% 184.29/184.10 [9608]~P12(x96081,x96085,x96084)+P1(f775(f775(f334(f856(x96081,x96081)),f775(f775(f241(x96081,x96081),x96082),x96083)),x96084))+~P1(f775(f775(f334(x96081),x96086),f775(f775(f104(f857(x96081,a844)),f775(f277(x96081,x96081,x96084),f775(f775(f302(x96081),x96082),f180(f857(x96081,a844))))),f775(f277(x96081,x96081,x96084),f775(f775(f302(x96081),x96083),f180(f857(x96081,a844)))))))
% 184.29/184.10 [8530]~P121(x85302)+~E(f775(f775(f82(x85302),f775(f775(f83(x85302),x85304),x85305)),x85301),f775(f775(f82(x85302),f775(f775(f83(x85302),x85303),x85305)),x85306))+E(x85301,f775(f775(f82(x85302),f775(f775(f83(x85302),f775(f775(f3(x85302),x85303),x85304)),x85305)),x85306))
% 184.29/184.10 [8531]~P121(x85311)+~E(f775(f775(f82(x85311),f775(f775(f83(x85311),x85312),x85314)),x85315),f775(f775(f82(x85311),f775(f775(f83(x85311),x85313),x85314)),x85316))+E(f775(f775(f82(x85311),f775(f775(f83(x85311),f775(f775(f3(x85311),x85312),x85313)),x85314)),x85315),x85316)
% 184.29/184.10 [8678]~P121(x86781)+E(f775(f775(f82(x86781),f775(f775(f83(x86781),x86782),x86783)),x86784),f775(f775(f82(x86781),f775(f775(f83(x86781),x86785),x86783)),x86786))+~E(x86786,f775(f775(f82(x86781),f775(f775(f83(x86781),f775(f775(f3(x86781),x86782),x86785)),x86783)),x86784))
% 184.29/184.10 [8679]~P121(x86791)+E(f775(f775(f82(x86791),f775(f775(f83(x86791),x86792),x86793)),x86794),f775(f775(f82(x86791),f775(f775(f83(x86791),x86795),x86793)),x86796))+~E(f775(f775(f82(x86791),f775(f775(f83(x86791),f775(f775(f3(x86791),x86792),x86795)),x86793)),x86794),x86796)
% 184.29/184.10 [8970]~P1(f775(f775(x89704,x89705),x89706))+~P1(f775(f775(x89703,x89705),x89706))+P1(f775(f775(f775(f775(f104(f857(x89701,f857(x89702,a844))),x89703),x89704),x89705),x89706))
% 184.29/184.10 [9199]P1(f775(f775(x91991,x91992),x91993))+P1(f775(f775(x91994,x91992),x91993))+~P1(f775(f775(f775(f775(f103(f857(x91995,f857(x91996,a844))),x91994),x91991),x91992),x91993))
% 184.29/184.10 [9358]~E(f775(f181(f851(x93581)),x93585),f775(f181(f851(x93582)),x93586))+E(f170(x93581,x93582,f172(x93581,x93582,x93583,f775(f775(f3(f857(x93581,a844)),x93584),f775(f158(x93581),x93585))),f166(x93581,x93582,f775(f142(f856(x93581,x93582)),f775(f775(f167(x93581,x93582),x93585),x93586)))),f172(x93581,x93582,f170(x93581,x93582,x93583,f166(x93581,x93582,f775(f142(f856(x93581,x93582)),f775(f775(f167(x93581,x93582),x93585),x93586)))),x93584))+~P1(f775(f775(f232(f857(x93581,a844)),f775(f158(x93581),x93585)),x93584))
% 184.29/184.10 [9486]~P129(x94861)+~P1(f775(f775(f233(x94861),f775(f775(f82(x94861),f775(f775(f83(x94861),x94864),x94865)),x94862)),f775(f775(f82(x94861),f775(f775(f83(x94861),x94863),x94865)),x94866)))+P1(f775(f775(f233(x94861),x94862),f775(f775(f82(x94861),f775(f775(f83(x94861),f775(f775(f3(x94861),x94863),x94864)),x94865)),x94866)))
% 184.29/184.10 [9487]~P129(x94871)+~P1(f775(f775(f232(x94871),f775(f775(f82(x94871),f775(f775(f83(x94871),x94874),x94875)),x94872)),f775(f775(f82(x94871),f775(f775(f83(x94871),x94873),x94875)),x94876)))+P1(f775(f775(f232(x94871),x94872),f775(f775(f82(x94871),f775(f775(f83(x94871),f775(f775(f3(x94871),x94873),x94874)),x94875)),x94876)))
% 184.29/184.10 [9504]~P129(x95041)+P1(f775(f775(f233(x95041),f775(f775(f82(x95041),f775(f775(f83(x95041),x95042),x95043)),x95044)),f775(f775(f82(x95041),f775(f775(f83(x95041),x95045),x95043)),x95046)))+~P1(f775(f775(f233(x95041),x95044),f775(f775(f82(x95041),f775(f775(f83(x95041),f775(f775(f3(x95041),x95045),x95042)),x95043)),x95046)))
% 184.29/184.10 [9505]~P129(x95051)+P1(f775(f775(f232(x95051),f775(f775(f82(x95051),f775(f775(f83(x95051),x95052),x95053)),x95054)),f775(f775(f82(x95051),f775(f775(f83(x95051),x95055),x95053)),x95056)))+~P1(f775(f775(f232(x95051),x95054),f775(f775(f82(x95051),f775(f775(f83(x95051),f775(f775(f3(x95051),x95055),x95052)),x95053)),x95056)))
% 184.29/184.10 [9601]~P129(x96011)+~P1(f775(f775(f233(x96011),f775(f775(f82(x96011),f775(f775(f83(x96011),x96012),x96014)),x96015)),f775(f775(f82(x96011),f775(f775(f83(x96011),x96013),x96014)),x96016)))+P1(f775(f775(f233(x96011),f775(f775(f82(x96011),f775(f775(f83(x96011),f775(f775(f3(x96011),x96012),x96013)),x96014)),x96015)),x96016))
% 184.29/184.10 [9602]~P129(x96021)+~P1(f775(f775(f232(x96021),f775(f775(f82(x96021),f775(f775(f83(x96021),x96022),x96024)),x96025)),f775(f775(f82(x96021),f775(f775(f83(x96021),x96023),x96024)),x96026)))+P1(f775(f775(f232(x96021),f775(f775(f82(x96021),f775(f775(f83(x96021),f775(f775(f3(x96021),x96022),x96023)),x96024)),x96025)),x96026))
% 184.29/184.10 [9643]~P129(x96431)+P1(f775(f775(f233(x96431),f775(f775(f82(x96431),f775(f775(f83(x96431),x96432),x96433)),x96434)),f775(f775(f82(x96431),f775(f775(f83(x96431),x96435),x96433)),x96436)))+~P1(f775(f775(f233(x96431),f775(f775(f82(x96431),f775(f775(f83(x96431),f775(f775(f3(x96431),x96432),x96435)),x96433)),x96434)),x96436))
% 184.29/184.10 [9644]~P129(x96441)+P1(f775(f775(f232(x96441),f775(f775(f82(x96441),f775(f775(f83(x96441),x96442),x96443)),x96444)),f775(f775(f82(x96441),f775(f775(f83(x96441),x96445),x96443)),x96446)))+~P1(f775(f775(f232(x96441),f775(f775(f82(x96441),f775(f775(f83(x96441),f775(f775(f3(x96441),x96442),x96445)),x96443)),x96444)),x96446))
% 184.29/184.10 [9813]~P66(x98132)+~P1(f775(f63(x98131),x98136))+E(f775(f775(f8(x98131,x98132),f775(f775(f20(x98131,x98132,x98132),f775(f775(f20(x98131,x98132,f857(x98132,x98132)),f775(f775(f10(a844,f857(x98132,f857(x98132,x98132)),x98131),f98(x98132)),x98133)),x98134)),x98135)),x98136),f775(f775(f82(x98132),f775(f775(f8(x98131,x98132),x98134),f775(f775(f104(f857(x98131,a844)),x98136),f775(f256(x98131),x98133)))),f775(f775(f8(x98131,x98132),x98135),f775(f775(f104(f857(x98131,a844)),x98136),f775(f81(f857(x98131,a844)),f775(f256(x98131),x98133))))))
% 184.29/184.10 [9877]P1(f775(f775(f334(x98772),x98774),x98776))+P1(f775(f775(f334(x98772),x98775),x98776))+E(f775(f305(x98771,x98772,f775(f775(f9(x98771,x98772,x98772),f775(f775(f9(x98771,x98772,f857(x98772,x98772)),f775(f775(f10(a844,f857(x98772,f857(x98772,x98772)),x98771),f98(x98772)),f775(f775(f9(x98771,f857(x98771,a844),a844),f334(x98771)),x98773))),x98774)),x98775)),x98776),f180(f857(x98771,a844)))
% 184.29/184.10 [9878]P1(f775(f775(f334(x98782),x98785),x98786))+~P1(f775(f775(f334(x98782),x98784),x98786))+E(f775(f305(x98781,x98782,f775(f775(f9(x98781,x98782,x98782),f775(f775(f9(x98781,x98782,f857(x98782,x98782)),f775(f775(f10(a844,f857(x98782,f857(x98782,x98782)),x98781),f98(x98782)),f775(f775(f9(x98781,f857(x98781,a844),a844),f334(x98781)),x98783))),x98784)),x98785)),x98786),x98783)
% 184.29/184.10 [9879]P1(f775(f775(f334(x98792),x98794),x98796))+~P1(f775(f775(f334(x98792),x98795),x98796))+E(f775(f305(x98791,x98792,f775(f775(f9(x98791,x98792,x98792),f775(f775(f9(x98791,x98792,f857(x98792,x98792)),f775(f775(f10(a844,f857(x98792,f857(x98792,x98792)),x98791),f98(x98792)),f775(f775(f9(x98791,f857(x98791,a844),a844),f334(x98791)),x98793))),x98794)),x98795)),x98796),f775(f81(f857(x98791,a844)),x98793))
% 184.29/184.10 [9880]~P1(f775(f775(f334(x98802),x98804),x98806))+~P1(f775(f775(f334(x98802),x98805),x98806))+E(f775(f305(x98801,x98802,f775(f775(f9(x98801,x98802,x98802),f775(f775(f9(x98801,x98802,f857(x98802,x98802)),f775(f775(f10(a844,f857(x98802,f857(x98802,x98802)),x98801),f98(x98802)),f775(f775(f9(x98801,f857(x98801,a844),a844),f334(x98801)),x98803))),x98804)),x98805)),x98806),f239(f857(x98801,a844)))
% 184.29/184.10 [10012]P28(x100121,x100122,f775(f775(f302(f849(x100121)),f775(f775(f775(f93(x100121),f775(x100123,x100124)),f775(a27,x100124)),f775(x100125,x100124))),f180(f857(f849(x100121),a844))))+~P1(f775(f775(f334(a846),x100124),x100126))+~P28(x100121,f775(f775(f103(f857(f849(x100121),a844)),x100122),f775(f303(a846,f849(x100121),f775(f775(f20(a846,f857(x100121,f857(a847,a844)),f849(x100121)),f775(f775(f20(a846,a845,f857(f857(x100121,f857(a847,a844)),f849(x100121))),f775(f775(f10(f857(x100121,f857(a847,a844)),f857(a845,f857(f857(x100121,f857(a847,a844)),f849(x100121))),a846),f93(x100121)),x100123)),a27)),x100125)),x100126)),f775(f303(a846,f849(x100121),f775(f775(f20(a846,f857(x100121,f857(a847,a844)),f849(x100121)),f775(f775(f20(a846,a845,f857(f857(x100121,f857(a847,a844)),f849(x100121))),f775(f775(f10(f857(x100121,f857(a847,a844)),f857(a845,f857(f857(x100121,f857(a847,a844)),f849(x100121))),a846),f93(x100121)),x100123)),f775(f775(f10(f854(a845),a845,a846),f231(a845)),a30))),x100125)),x100126))
% 184.29/184.10 [8555]E(x85551,x85552)+~P55(x85554,x85555,x85553,x85556,x85557)+~E(f775(x85553,x85551),f775(x85553,x85552))
% 184.29/184.10 [6928]E(f775(f229(f854(x69281),x69282,f183(x69281),x69283),f775(x69284,x69285)),f775(f227(x69281),x69286))+~E(f775(x69284,x69285),f775(f227(x69282),x69287))+~E(f775(x69283,x69287),f775(f227(x69281),x69286))
% 184.29/184.10 [8577]~P15(x85776,x85775,x85777,x85774,x85771)+E(f775(f775(x85771,x85772),x85773),x85774)+P1(f775(f63(x85775),x85773))
% 184.29/184.10 [9353]P41(x93531,x93532,x93533,x93534,x93535,f775(f775(x93533,x93536),x93537))+~E(f775(f775(x93533,x93536),x93537),x93534)+~E(x93535,f180(f857(x93531,a844)))
% 184.29/184.10 [9524]~P1(f775(x95246,x95243))+~P1(f775(f775(f334(f856(x95242,x95242)),f775(f775(f241(x95242,x95242),x95244),x95245)),f775(x95247,x95243)))+P1(f775(f775(f334(f856(f856(x95241,x95242),f856(x95241,x95242))),f775(f775(f241(f856(x95241,x95242),f856(x95241,x95242)),f775(f775(f241(x95241,x95242),x95243),x95244)),f775(f775(f241(x95241,x95242),x95243),x95245))),f275(x95241,x95242,x95246,x95247)))
% 184.29/184.10 [9697]~P29(x96973,x96971,x96974,f239(f857(x96973,a844)))+E(f775(f166(x96971,x96972,f775(f775(f143(f856(x96973,x96972),f856(x96971,x96972)),f775(f251(x96973,x96972,f856(x96971,x96972)),f775(f775(f10(x96971,f857(x96972,f856(x96971,x96972)),x96973),f241(x96971,x96972)),x96974))),x96975)),f775(x96974,x96976)),f775(f227(x96972),x96977))+~E(f775(f166(x96973,x96972,x96975),x96976),f775(f227(x96972),x96977))
% 184.29/184.10 [9933]~P41(x99332,x99337,x99333,x99336,x99331,f775(f775(x99333,x99335),x99334))+E(f775(f775(x99333,f453(x99334,x99335,x99331,x99336,x99333,x99337,x99332)),f454(x99334,x99335,x99331,x99336,x99333,x99337,x99332)),f775(f775(x99333,x99335),x99334))+E(x99331,f180(f857(x99332,a844)))
% 184.29/184.10 [9934]~P41(x99347,x99346,x99341,x99344,x99345,f775(f775(x99341,x99342),x99343))+E(f775(f775(x99341,f453(x99343,x99342,x99345,x99344,x99341,x99346,x99347)),f454(x99343,x99342,x99345,x99344,x99341,x99346,x99347)),f775(f775(x99341,x99342),x99343))+E(f775(f775(x99341,x99342),x99343),x99344)
% 184.29/184.10 [9589]~P1(f775(f68(x95891,x95894,x95895,x95896,x95893),x95897))+P1(f775(f68(x95891,x95894,x95895,x95896,f775(f775(f302(x95891),x95892),x95893)),f775(f775(x95895,x95892),x95897)))+P1(f775(f775(f334(x95891),x95892),x95893))
% 184.29/184.10 [9958]~P41(x99582,x99587,x99586,x99585,x99581,f775(f775(x99586,x99584),x99583))+E(x99581,f180(f857(x99582,a844)))+P1(f775(f775(f334(x99582),f453(x99583,x99584,x99581,x99585,x99586,x99587,x99582)),x99581))
% 184.29/184.10 [9959]~P41(x99595,x99597,x99591,x99594,x99596,f775(f775(x99591,x99592),x99593))+E(f775(f775(x99591,x99592),x99593),x99594)+P1(f775(f775(f334(x99595),f453(x99593,x99592,x99596,x99594,x99591,x99597,x99595)),x99596))
% 184.29/184.10 [6705]~E(x67055,x67057)+~E(x67056,x67054)+E(f775(f775(f775(f775(f74(x67051,f854(x67052)),x67053),x67054),f775(f227(x67052),x67055)),x67056),f775(f227(x67052),x67057))
% 184.29/184.10 [6842]E(x68421,x68422)+~E(f775(x68425,x68421),f775(f227(x68424),x68427))+E(f775(f775(f775(f775(f74(x68423,f854(x68424)),x68425),x68422),f775(f227(x68424),x68426)),x68421),f775(f227(x68424),x68427))
% 184.29/184.10 [7589]E(x75891,x75892)+~E(x75893,x75894)+~E(f775(f775(f775(f775(f74(x75895,f854(x75896)),x75897),x75894),f775(f227(x75896),x75891)),x75893),f775(f227(x75896),x75892))
% 184.29/184.10 [7654]E(x76541,x76542)+E(f775(x76543,x76544),f775(f227(x76545),x76541))+~E(f775(f775(f775(f775(f74(x76546,f854(x76545)),x76543),x76547),f775(f227(x76545),x76542)),x76544),f775(f227(x76545),x76541))
% 184.29/184.10 [7655]E(x76551,x76552)+E(f775(x76553,x76551),f775(f227(x76554),x76555))+~E(f775(f775(f775(f775(f74(x76556,f854(x76554)),x76553),x76552),f775(f227(x76554),x76557)),x76551),f775(f227(x76554),x76555))
% 184.29/184.10 [8781]~P25(x87814,x87815,x87816,x87817,x87811)+~P1(f775(f63(x87815),x87813))+E(f775(f775(x87811,x87812),x87813),f775(f775(f775(f67(x87814,x87815,x87816),x87812),x87817),x87813))
% 184.29/184.10 [8782]~P15(x87824,x87825,x87826,x87827,x87821)+~P1(f775(f63(x87825),x87823))+E(f775(f775(x87821,x87822),x87823),f775(f775(f775(f67(x87824,x87825,x87826),x87822),x87827),x87823))
% 184.29/184.10 [9321]~P28(x93211,x93212,f775(f775(f302(f849(x93211)),f775(f775(f775(f93(x93211),x93213),x93214),x93217)),f180(f857(f849(x93211),a844))))+P28(x93211,x93212,f775(f775(f302(f849(x93211)),f775(f775(f775(f93(x93211),x93213),f36(x93214,x93215)),x93216)),f180(f857(f849(x93211),a844))))+~P28(x93211,x93212,f775(f775(f302(f849(x93211)),f775(f775(f775(f93(x93211),x93217),x93215),x93216)),f180(f857(f849(x93211),a844))))
% 184.29/184.10 [9499]~P27(x94993,x94994,x94995,x94997,x94996,x94991)+~P1(f775(f63(x94994),x94992))+E(f775(x94991,x94992),f775(f775(f775(f67(x94993,x94994,x94995),x94996),x94997),x94992))
% 184.29/184.10 [9638]P41(x96381,x96382,x96383,x96384,x96385,f775(f775(x96383,x96386),x96387))+~P41(x96381,x96382,x96383,x96384,f775(f775(f3(f857(x96381,a844)),x96385),f775(f775(f302(x96381),x96386),f180(f857(x96381,a844)))),x96387)+~P1(f775(f775(f334(x96381),x96386),x96385))
% 184.29/184.10 [9908]~P28(x99081,x99082,f775(f775(f302(f849(x99081)),f775(f775(f775(f93(x99081),f94(x99081,x99083,x99084)),x99085),x99087)),f180(f857(f849(x99081),a844))))+P28(x99081,x99082,f775(f775(f302(f849(x99081)),f775(f775(f775(f93(x99081),x99083),f33(x99084,x99085,x99086)),x99087)),f180(f857(f849(x99081),a844))))+~P28(x99081,x99082,f775(f775(f302(f849(x99081)),f775(f775(f775(f93(x99081),f94(x99081,x99083,f775(f75(a844,a844,a847,a328),x99084))),x99086),x99087)),f180(f857(f849(x99081),a844))))
% 184.29/184.10 [9976]P1(f775(f775(x99767,f836(x99764,x99765,x99761,x99766,x99763,x99762,x99767)),f837(x99764,x99765,x99761,x99766,x99763,x99762,x99767)))+~P1(f775(f775(x99767,f775(f250(x99762,x99763),x99766)),f775(f240(x99762,x99763),x99766)))+P1(f775(x99761,f775(f775(f251(x99762,x99763,x99764),x99765),x99766)))
% 184.29/184.10 [9985]~P41(x99852,x99853,x99854,x99855,x99851,f775(f775(x99854,x99857),x99856))+P41(x99852,x99853,x99854,x99855,f775(f775(f3(f857(x99852,a844)),x99851),f775(f775(f302(x99852),f453(x99856,x99857,x99851,x99855,x99854,x99853,x99852)),f180(f857(x99852,a844)))),f454(x99856,x99857,x99851,x99855,x99854,x99853,x99852))+E(x99851,f180(f857(x99852,a844)))
% 184.29/184.10 [9986]~P41(x99865,x99866,x99861,x99864,x99867,f775(f775(x99861,x99862),x99863))+P41(x99865,x99866,x99861,x99864,f775(f775(f3(f857(x99865,a844)),x99867),f775(f775(f302(x99865),f453(x99863,x99862,x99867,x99864,x99861,x99866,x99865)),f180(f857(x99865,a844)))),f454(x99863,x99862,x99867,x99864,x99861,x99866,x99865))+E(f775(f775(x99861,x99862),x99863),x99864)
% 184.29/184.10 [10006]~P1(f775(x100061,f775(f775(x100065,f837(x100064,x100065,x100061,x100066,x100063,x100062,x100067)),f836(x100064,x100065,x100061,x100066,x100063,x100062,x100067))))+~P1(f775(f775(x100067,f775(f250(x100062,x100063),x100066)),f775(f240(x100062,x100063),x100066)))+P1(f775(x100061,f775(f775(f251(x100062,x100063,x100064),x100065),x100066)))
% 184.29/184.10 [9342]P1(f775(f775(f232(f857(f856(x93421,x93422),a844)),f775(f775(f281(x93421,x93423,x93422),x93424),x93425)),f775(f775(f281(x93421,x93423,x93422),x93426),x93427)))+~P1(f775(f775(f232(f857(f856(x93423,x93422),a844)),x93425),x93427))+~P1(f775(f775(f232(f857(f856(x93421,x93423),a844)),x93424),x93426))
% 184.29/184.10 [9649]~P1(f775(f775(f334(x96491),x96496),x96495))+P1(f775(f68(x96491,x96492,x96493,x96494,x96495),f775(f775(x96493,x96496),x96497)))+~P1(f775(f68(x96491,x96492,x96493,x96494,f775(f775(f3(f857(x96491,a844)),x96495),f775(f775(f302(x96491),x96496),f180(f857(x96491,a844))))),x96497))
% 184.29/184.10 [9248]E(f170(x92481,x92482,x92483,f166(x92481,x92482,f775(f142(f856(x92481,x92482)),f775(f775(f167(x92481,x92482),x92484),f775(f775(f148(x92482,x92485),x92486),x92487))))),f170(x92481,x92482,x92483,f166(x92481,x92482,f775(f142(f856(x92481,x92482)),f775(f775(f167(x92481,x92482),x92484),x92485)))))+~P1(f775(f775(f233(a850),x92486),f775(f181(f851(x92482)),x92485)))+~P1(f775(f775(f232(a850),f775(f181(f851(x92481)),x92484)),x92486))
% 184.29/184.10 [10036]~P136(x100361)+~P29(f856(x100362,x100363),x100361,f775(f251(x100362,x100363,x100361),f775(f775(f9(x100362,f857(x100363,x100361),f857(x100363,x100361)),f775(f775(f10(f857(x100361,x100361),f857(f857(x100363,x100361),f857(x100363,x100361)),x100362),f10(x100361,x100361,x100363)),f775(f775(f10(x100361,f857(x100361,x100361),x100362),f83(x100361)),x100364))),x100365)),f775(f775(f248(x100362,x100363),x100366),f775(f18(f857(x100363,a844),x100362),x100367)))+E(f775(f775(f8(x100361,x100361),f39(x100361)),f775(f256(x100361),f775(f775(f10(f857(x100362,a844),a844,x100361),f89(x100362)),f775(f775(f10(f857(x100362,f857(x100363,a844)),f857(x100362,a844),x100361),f775(f10(f857(x100363,a844),a844,x100362),f89(x100363))),f775(f775(f9(x100361,f857(x100362,f857(x100363,a844)),f857(x100362,f857(x100363,a844))),f775(f775(f10(f857(x100362,f857(f857(x100363,a844),f857(x100363,a844))),f857(f857(x100362,f857(x100363,a844)),f857(x100362,f857(x100363,a844))),x100361),f20(x100362,f857(x100363,a844),f857(x100363,a844))),f775(f775(f10(f857(x100362,f857(x100363,f857(a844,a844))),f857(x100362,f857(f857(x100363,a844),f857(x100363,a844))),x100361),f775(f10(f857(x100363,f857(a844,a844)),f857(f857(x100363,a844),f857(x100363,a844)),x100362),f20(x100363,a844,a844))),f775(f775(f10(f857(x100362,f857(x100363,a844)),f857(x100362,f857(x100363,f857(a844,a844))),x100361),f775(f10(f857(x100363,a844),f857(x100363,f857(a844,a844)),x100362),f775(f10(a844,f857(a844,a844),x100363),a331))),f775(f775(f9(x100361,f857(x100362,f857(x100363,x100361)),f857(x100362,f857(x100363,a844))),f775(f775(f10(f857(f857(x100363,x100361),f857(x100363,a844)),f857(f857(x100362,f857(x100363,x100361)),f857(x100362,f857(x100363,a844))),x100361),f10(f857(x100363,x100361),f857(x100363,a844),x100362)),f775(f775(f10(f857(x100361,a844),f857(f857(x100363,x100361),f857(x100363,a844)),x100361),f10(x100361,a844,x100363)),a330))),f775(f775(f9(x100362,f857(x100363,x100361),f857(x100363,x100361)),f775(f775(f10(f857(x100361,x100361),f857(f857(x100363,x100361),f857(x100363,x100361)),x100362),f10(x100361,x100361,x100363)),f775(f775(f10(x100361,f857(x100361,x100361),x100362),f83(x100361)),x100364))),x100365)))))),f775(f775(f9(x100362,f857(x100363,a844),f857(x100363,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x100363,a844),f857(x100363,a844)),x100362),f10(a844,a844,x100363)),f775(f775(f10(a844,f857(a844,a844),x100362),a331),f775(f775(f9(x100362,f857(x100362,a844),a844),f334(x100362)),x100366)))),f775(f775(f9(x100363,f857(x100363,a844),a844),f334(x100363)),x100367))))))),f775(f775(f83(x100361),f775(f775(f8(x100362,x100361),x100364),x100366)),f775(f775(f8(x100363,x100361),x100365),x100367)))
% 184.29/184.10 [9727]P51(x97271,x97272,x97273,x97274,x97275,x97276,x97277)+~P1(f775(f775(x97274,x97276),x97278))+~P1(f775(f775(x97275,x97278),x97277))
% 184.29/184.10 [9128]~P23(x91288,x91281,x91283,x91285)+~P1(f775(f63(x91288),x91286))+E(f775(f75(x91281,x91281,x91282,f775(x91283,x91284)),f775(f75(x91281,x91281,x91282,f775(x91285,x91286)),x91287)),f775(f75(x91281,x91281,x91282,f775(x91285,x91286)),f775(f75(x91281,x91281,x91282,f775(x91283,x91284)),x91287)))
% 184.29/184.10 [9491]~P26(x94917,x94912,x94915,x94918,x94916,x94911)+~P1(f775(f63(x94912),x94914))+E(f775(x94911,f775(f775(f302(x94912),x94913),x94914)),f775(f775(x94915,f775(x94916,x94913)),f775(x94911,x94914)))
% 184.29/184.10 [9599]~P29(x95992,x95994,x95996,x95998)+~P29(x95991,x95993,x95995,x95997)+P29(f856(x95991,x95992),f856(x95993,x95994),f252(x95991,x95993,x95992,x95994,x95995,x95996),f775(f775(f248(x95991,x95992),x95997),f775(f18(f857(x95992,a844),x95991),x95998)))
% 184.29/184.10 [9284]P1(f775(f775(f334(f856(x92841,x92842)),f775(f775(f241(x92841,x92842),x92843),x92844)),f775(f775(f281(x92841,x92845,x92842),x92846),x92847)))+~P1(f775(f775(f334(f856(x92841,x92845)),f775(f775(f241(x92841,x92845),x92843),x92848)),x92846))+~P1(f775(f775(f334(f856(x92845,x92842)),f775(f775(f241(x92845,x92842),x92848),x92844)),x92847))
% 184.29/184.10 [9474]~P1(f775(f775(f232(f857(f856(x94743,x94742),a844)),x94745),f775(f775(f248(x94743,x94742),x94748),f775(f18(f857(x94742,a844),x94743),x94747))))+~P1(f775(f775(f232(f857(f856(x94741,x94743),a844)),x94744),f775(f775(f248(x94741,x94743),x94746),f775(f18(f857(x94743,a844),x94741),x94748))))+P1(f775(f775(f232(f857(f856(x94741,x94742),a844)),f775(f775(f281(x94741,x94743,x94742),x94744),x94745)),f775(f775(f248(x94741,x94742),x94746),f775(f18(f857(x94742,a844),x94741),x94747))))
% 184.29/184.10 [9519]~E(x95193,x95195)+P1(f775(f775(f334(f856(f856(x95191,x95192),f856(x95191,x95192))),f775(f775(f241(f856(x95191,x95192),f856(x95191,x95192)),f775(f775(f241(x95191,x95192),x95193),x95194)),f775(f775(f241(x95191,x95192),x95195),x95196))),f325(x95191,x95192,x95197,x95198)))+~P1(f775(f775(f334(f856(x95192,x95192)),f775(f775(f241(x95192,x95192),x95194),x95196)),x95198))
% 184.29/184.10 [9617]E(x96171,x96172)+~P1(f775(f775(f334(f856(f856(x96173,x96175),f856(x96173,x96175))),f775(f775(f241(f856(x96173,x96175),f856(x96173,x96175)),f775(f775(f241(x96173,x96175),x96171),x96176)),f775(f775(f241(x96173,x96175),x96172),x96177))),f325(x96173,x96175,x96174,x96178)))+P1(f775(f775(f334(f856(x96173,x96173)),f775(f775(f241(x96173,x96173),x96171),x96172)),x96174))
% 184.29/184.10 [9632]~P1(f775(f775(f334(f856(f856(x96321,x96325),f856(x96321,x96325))),f775(f775(f241(f856(x96321,x96325),f856(x96321,x96325)),f775(f775(f241(x96321,x96325),x96322),x96326)),f775(f775(f241(x96321,x96325),x96323),x96327))),f325(x96321,x96325,x96324,x96328)))+P1(f775(f775(f334(f856(x96321,x96321)),f775(f775(f241(x96321,x96321),x96322),x96323)),x96324))+P1(f775(f775(f334(f856(x96325,x96325)),f775(f775(f241(x96325,x96325),x96326),x96327)),x96328))
% 184.29/184.10 [9548]~P27(x95487,x95485,x95481,x95488,x95482,x95484)+~P1(f775(f63(x95485),x95486))+E(f775(f775(x95481,f775(x95482,x95483)),f775(x95484,f775(f775(f3(f857(x95485,a844)),x95486),f775(f775(f302(x95485),x95483),f180(f857(x95485,a844)))))),f775(x95484,f775(f775(f302(x95485),x95483),x95486)))
% 184.29/184.10 [9087]~P1(f775(f775(f775(x90875,x90878),x90876),x90877))+~P1(f775(f775(f334(x90871),x90878),x90874))+P1(f775(f775(f775(f775(f46(x90871,f857(x90872,f857(x90873,a844))),x90874),x90875),x90876),x90877))
% 184.29/184.10 [9272]P1(f775(f775(f775(x92721,x92722),x92723),x92724))+~P1(f775(f775(f334(x92725),x92722),x92726))+~P1(f775(f775(f775(f775(f47(x92725,f857(x92727,f857(x92728,a844))),x92726),x92721),x92723),x92724))
% 184.29/184.10 [9465]~P25(x94653,x94652,x94654,x94658,x94651)+~P1(f775(f63(x94652),x94657))+E(f775(f775(x94651,f775(f775(f20(x94652,x94653,x94653),f775(f775(f10(x94653,f857(x94653,x94653),x94652),x94654),x94655)),x94656)),x94657),f775(f775(x94654,f775(f775(x94651,x94655),x94657)),f775(f775(x94651,x94656),x94657)))
% 184.29/184.10 [9705]~E(f775(f303(x97052,x97054,x97056),x97058),x970510)+~E(f775(f303(x97051,x97053,x97055),x97057),x97059)+E(f775(f303(f856(x97051,x97052),f856(x97053,x97054),f252(x97051,x97053,x97052,x97054,x97055,x97056)),f775(f775(f248(x97051,x97052),x97057),f775(f18(f857(x97052,a844),x97051),x97058))),f775(f775(f248(x97053,x97054),x97059),f775(f18(f857(x97054,a844),x97053),x970510)))
% 184.29/184.10 [4733]~P100(x47332)+~P18(x47332,x47331)+P18(x47332,f116(x47332,x47331))+E(x47331,f115(x47332))
% 184.29/184.10 [4966]~P9(x49662)+E(f12(x49662,x49661),f45(x49662,x49661))+E(x49661,f180(f857(x49662,a844)))+~P1(f775(f63(x49662),x49661))
% 184.29/184.10 [4967]~P9(x49672)+E(f15(x49672,x49671),f44(x49672,x49671))+E(x49671,f180(f857(x49672,a844)))+~P1(f775(f63(x49672),x49671))
% 184.29/184.10 [5907]~P93(x59072)+E(x59071,f180(f857(x59072,a844)))+P1(f775(f775(f232(x59072),f12(x59072,x59071)),f15(x59072,x59071)))+~P1(f775(f63(x59072),x59071))
% 184.29/184.10 [5921]~P38(x59212)+~P38(x59211)+E(x59211,x59212)+~E(f775(f303(a1,a850,a107),x59211),f775(f303(a1,a850,a107),x59212))
% 184.29/184.10 [8950]~P110(x89501)+~P1(f775(f775(f334(x89501),x89502),f112(x89501)))+P1(f775(f775(f233(x89501),f775(f775(f82(x89501),f775(f775(f82(x89501),f80(x89501)),x89502)),x89502)),f2(x89501)))+~P1(f775(f775(f233(x89501),x89502),f2(x89501)))
% 184.29/184.10 [9169]~P110(x91691)+~P1(f775(f775(f334(x91691),x91692),f112(x91691)))+~P1(f775(f775(f233(x91691),f775(f775(f82(x91691),f775(f775(f82(x91691),f80(x91691)),x91692)),x91692)),f2(x91691)))+P1(f775(f775(f233(x91691),x91692),f2(x91691)))
% 184.29/184.10 [4786]~P105(x47862)+~P136(x47862)+E(x47861,f2(a850))+E(f775(f775(f242(x47862),f2(x47862)),x47861),f2(x47862))
% 184.29/184.10 [4790]~P105(x47901)+~P136(x47901)+~E(x47902,f2(a850))+E(f775(f775(f242(x47901),f2(x47901)),x47902),f80(x47901))
% 184.29/184.10 [4953]~P120(x49532)+E(x49531,f80(x49532))+E(x49531,f775(f81(x49532),f80(x49532)))+~E(f775(f775(f83(x49532),x49531),x49531),f80(x49532))
% 184.29/184.10 [5197]~P82(x51972)+E(x51971,f2(x51972))+E(f84(x51972,x51971),f775(f81(x51972),f80(x51972)))+P1(f775(f775(f233(x51972),f2(x51972)),x51971))
% 184.29/184.10 [5429]~P82(x54292)+E(f84(x54292,x54291),f80(x54292))+E(x54291,f2(x54292))+~P1(f775(f775(f233(x54292),f2(x54292)),x54291))
% 184.29/184.10 [5438]E(x54381,x54382)+~E(f775(f106(a850),x54381),f775(f106(a850),x54382))+P1(f775(a186,f775(f106(a1),x54382)))+P1(f775(a186,f775(f106(a1),x54381)))
% 184.29/184.10 [5485]~P87(x54851)+~E(x54852,f2(x54851))+E(f775(f775(f82(x54851),x54852),x54852),f2(x54851))+~P1(f775(f775(f334(x54851),x54852),f112(x54851)))
% 184.29/184.10 [5521]E(x55211,f2(a1))+~E(f775(f775(f43(a1),x55212),x55211),f2(a1))+P1(f775(f775(f233(a1),x55211),x55212))+P1(f775(f775(f233(a1),x55212),x55211))
% 184.29/184.10 [5550]E(x55501,f2(a1))+~E(f775(f775(f43(a1),x55502),x55501),f2(a1))+P1(f775(f775(f232(a1),x55502),f2(a1)))+P1(f775(f775(f233(a1),x55502),x55501))
% 184.29/184.10 [5582]E(x55821,f2(a1))+~E(f775(f775(f43(a1),x55822),x55821),f2(a1))+P1(f775(f775(f232(a1),f2(a1)),x55822))+P1(f775(f775(f233(a1),x55821),x55822))
% 184.29/184.10 [5619]~P87(x56192)+E(x56191,f2(x56192))+~E(f775(f775(f82(x56192),x56191),x56191),f2(x56192))+~P1(f775(f775(f334(x56192),x56191),f112(x56192)))
% 184.29/184.10 [5686]E(f775(f106(a850),x56861),f775(f106(a850),x56862))+~E(f775(f106(a1),x56862),f2(a1))+P1(f775(a186,f775(f106(a1),x56862)))+~P1(f775(a186,f775(f106(a1),x56861)))
% 184.29/184.10 [5715]~E(f775(f106(a850),x57152),f775(f106(a850),x57151))+E(f775(f106(a1),x57151),f2(a1))+P1(f775(a186,f775(f106(a1),x57151)))+~P1(f775(a186,f775(f106(a1),x57152)))
% 184.29/184.10 [5724]~P100(x57242)+E(x57241,f180(f857(x57242,a844)))+~P1(f775(f63(x57242),x57241))+P1(f775(f775(f334(x57242),f16(x57242,x57241)),x57241))
% 184.29/184.10 [5725]~P100(x57252)+E(x57251,f180(f857(x57252,a844)))+~P1(f775(f63(x57252),x57251))+P1(f775(f775(f334(x57252),f17(x57252,x57251)),x57251))
% 184.29/184.10 [5887]~P110(x58871)+~P88(x58871)+P1(f775(f775(f233(x58871),f2(x58871)),f775(f106(x58871),x58872)))+~P1(f775(f775(f233(a1),a85),x58872))
% 184.29/184.10 [5888]~P110(x58881)+~P88(x58881)+P1(f775(f775(f232(x58881),f2(x58881)),f775(f106(x58881),x58882)))+~P1(f775(f775(f232(a1),a85),x58882))
% 184.29/184.10 [5906]~P110(x59061)+~P88(x59061)+E(f775(f77(x59061),f775(f106(x59061),x59062)),f775(f106(x59061),x59062))+P1(f775(f775(f233(x59061),f775(f106(x59061),x59062)),f2(x59061)))
% 184.29/184.10 [5948]E(x59481,x59482)+~E(f775(a107,x59481),f775(a107,x59482))+~P1(f775(f775(f232(a1),f2(a1)),x59482))+~P1(f775(f775(f232(a1),f2(a1)),x59481))
% 184.29/184.10 [6145]~P88(x61452)+~P110(x61452)+~P1(f775(f775(f233(x61452),f2(x61452)),f775(f106(x61452),x61451)))+P1(f775(f775(f233(a1),a85),x61451))
% 184.29/184.10 [6146]~P88(x61462)+~P110(x61462)+~P1(f775(f775(f232(x61462),f2(x61462)),f775(f106(x61462),x61461)))+P1(f775(f775(f232(a1),a85),x61461))
% 184.29/184.10 [6151]~P110(x61511)+~P88(x61511)+P1(f775(f775(f233(x61511),f775(f106(x61511),x61512)),f2(x61511)))+~P1(f775(f775(f233(a1),x61512),a85))
% 184.29/184.10 [6152]~P110(x61521)+~P88(x61521)+P1(f775(f775(f232(x61521),f775(f106(x61521),x61522)),f2(x61521)))+~P1(f775(f775(f232(a1),x61522),a85))
% 184.29/184.10 [6483]~P88(x64832)+~P110(x64832)+~P1(f775(f775(f233(x64832),f775(f106(x64832),x64831)),f2(x64832)))+P1(f775(f775(f233(a1),x64831),a85))
% 184.29/184.10 [6484]~P88(x64842)+~P110(x64842)+~P1(f775(f775(f232(x64842),f775(f106(x64842),x64841)),f2(x64842)))+P1(f775(f775(f232(a1),x64841),a85))
% 184.29/184.10 [6575]~P110(x65751)+~P88(x65751)+E(f775(f77(x65751),f775(f106(x65751),x65752)),f775(f81(x65751),f775(f106(x65751),x65752)))+~P1(f775(f775(f233(x65751),f775(f106(x65751),x65752)),f2(x65751)))
% 184.29/184.10 [6593]E(f775(f106(a850),x65931),f775(f106(a850),x65932))+~E(f775(f106(a1),x65932),f2(a1))+~P1(f775(f775(f232(a1),f775(f106(a1),x65931)),f2(a1)))+~P1(f775(a186,f775(f106(a1),x65931)))
% 184.29/184.10 [7010]P1(f775(f775(f279(a850),f775(a107,x70101)),f775(a107,x70102)))+~P1(f775(f775(f232(a1),f2(a1)),x70102))+~P1(f775(f775(f232(a1),f2(a1)),x70101))+~P1(f775(f775(f279(a1),x70101),x70102))
% 184.29/184.10 [7253]~P1(f775(f775(f279(a850),f775(a107,x72531)),f775(a107,x72532)))+~P1(f775(f775(f232(a1),f2(a1)),x72532))+~P1(f775(f775(f232(a1),f2(a1)),x72531))+P1(f775(f775(f279(a1),x72531),x72532))
% 184.29/184.10 [7517]~P100(x75172)+E(x75171,f180(f857(x75172,a844)))+~P1(f775(f63(x75172),x75171))+P1(f775(f775(f232(x75172),f14(x75172,f236(x75172),x75171)),f13(x75172,f179(x75172),x75171)))
% 184.29/184.10 [7842]~P10(x78421)+~P38(x78422)+P1(f775(f775(f334(a1),x78421),x78422))+~P1(f775(f775(f334(a850),f775(a107,x78421)),f775(f303(a1,a850,a107),x78422)))
% 184.29/184.10 [5721]~P133(x57212)+E(x57211,f2(a1))+E(f775(f81(x57212),f775(f105(x57212),f775(f81(a1),x57211))),f775(f105(x57212),x57211))+~P1(f775(f775(f233(a1),x57211),f2(a1)))
% 184.29/184.10 [5797]~P87(x57971)+~P88(x57971)+~P33(x57971,f775(f106(x57971),x57972))+P33(x57971,f775(f106(x57971),f775(f775(f82(a1),x57972),x57972)))
% 184.29/184.10 [6135]~P68(x61352)+E(x61351,f180(f857(x61352,a844)))+E(f17(x61352,f775(f303(x61352,x61352,f81(x61352)),x61351)),f775(f81(x61352),f16(x61352,x61351)))+~P1(f775(f63(x61352),x61351))
% 184.29/184.10 [6136]~P68(x61362)+E(x61361,f180(f857(x61362,a844)))+E(f16(x61362,f775(f303(x61362,x61362,f81(x61362)),x61361)),f775(f81(x61362),f17(x61362,x61361)))+~P1(f775(f63(x61362),x61361))
% 184.29/184.10 [6166]~P87(x61661)+~P88(x61661)+P33(x61661,f775(f106(x61661),x61662))+~P33(x61661,f775(f106(x61661),f775(f775(f82(a1),x61662),x61662)))
% 184.29/184.10 [6261]E(x62611,f2(a1))+E(f775(a58,f57(f775(f81(a1),x62611),f775(f81(a1),x62612))),f53(x62611,x62612))+P1(f775(f775(f232(a1),f2(a1)),x62612))+~P1(f775(f775(f232(a1),f2(a1)),x62611))
% 184.29/184.10 [8599]~P38(x85992)+~P38(x85991)+P1(f775(f775(f233(f857(a850,a844)),f775(f303(a1,a850,a107),x85991)),f775(f303(a1,a850,a107),x85992)))+~P1(f775(f775(f233(f857(a1,a844)),x85991),x85992))
% 184.29/184.10 [8874]~P38(x88742)+~P38(x88741)+~P1(f775(f775(f233(f857(a850,a844)),f775(f303(a1,a850,a107),x88741)),f775(f303(a1,a850,a107),x88742)))+P1(f775(f775(f233(f857(a1,a844)),x88741),x88742))
% 184.29/184.10 [8875]~P38(x88752)+~P38(x88751)+~P1(f775(f775(f232(f857(a850,a844)),f775(f303(a1,a850,a107),x88751)),f775(f303(a1,a850,a107),x88752)))+P1(f775(f775(f232(f857(a1,a844)),x88751),x88752))
% 184.29/184.10 [9313]E(x93131,f2(a1))+E(x93132,f2(a1))+E(f775(f775(f88(a1,f856(a1,a1)),f775(f775(a212,x93132),x93131)),f775(f775(f20(a1,a1,f856(a1,a1)),f775(f775(f10(a1,f857(a1,f856(a1,a1)),a1),f241(a1,a1)),f775(f43(a1),x93132))),f775(f43(a1),x93131))),f210(x93132,x93131))+P1(f775(f775(f233(a1),x93131),f2(a1)))
% 184.29/184.10 [8164]~P88(x81642)+~P110(x81642)+~P1(f775(f775(f233(x81642),f775(f106(x81642),x81641)),f80(x81642)))+P1(f775(f775(f233(a1),x81641),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))
% 184.29/184.10 [8165]~P88(x81652)+~P110(x81652)+~P1(f775(f775(f232(x81652),f775(f106(x81652),x81651)),f80(x81652)))+P1(f775(f775(f232(a1),x81651),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))
% 184.29/184.10 [8439]~P110(x84391)+~P88(x84391)+P1(f775(f775(f233(x84391),f775(f106(x84391),x84392)),f80(x84391)))+~P1(f775(f775(f233(a1),x84392),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))
% 184.29/184.10 [8440]~P110(x84401)+~P88(x84401)+P1(f775(f775(f232(x84401),f775(f106(x84401),x84402)),f80(x84401)))+~P1(f775(f775(f232(a1),x84402),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))
% 184.29/184.10 [8624]~P88(x86242)+~P110(x86242)+~P1(f775(f775(f233(x86242),f80(x86242)),f775(f106(x86242),x86241)))+P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),x86241))
% 184.29/184.10 [8625]~P88(x86252)+~P110(x86252)+~P1(f775(f775(f232(x86252),f80(x86252)),f775(f106(x86252),x86251)))+P1(f775(f775(f232(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),x86251))
% 184.29/184.10 [8957]~P110(x89571)+~P88(x89571)+P1(f775(f775(f233(x89571),f80(x89571)),f775(f106(x89571),x89572)))+~P1(f775(f775(f233(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),x89572))
% 184.29/184.10 [8958]~P110(x89581)+~P88(x89581)+P1(f775(f775(f232(x89581),f80(x89581)),f775(f106(x89581),x89582)))+~P1(f775(f775(f232(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),x89582))
% 184.29/184.10 [9436]~P120(x94362)+E(x94361,f80(x94362))+E(x94361,f775(f81(x94362),f80(x94362)))+~E(f775(f775(f242(x94362),x94361),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f80(x94362))
% 184.29/184.10 [9681]~P62(x96811)+~P88(x96811)+~P1(f775(f775(f233(x96811),f2(x96811)),x96812))+P1(f775(f775(f233(x96811),f2(x96811)),f775(f775(f283(x96811),x96812),f775(f106(x96811),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.29/184.10 [9736]~P62(x97361)+~P88(x97361)+P1(f775(f775(f233(x97361),f2(x97361)),x97362))+~P1(f775(f775(f233(x97361),f2(x97361)),f775(f775(f283(x97361),x97362),f775(f106(x97361),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.29/184.10 [10011]~P133(x100112)+E(x100111,f2(a1))+P1(f775(f775(f233(a1),x100111),f2(a1)))+E(f775(f775(f251(a1,a1,x100112),f775(f775(f9(a1,f857(a1,f857(x100112,x100112)),f857(a1,x100112)),f775(f775(f10(f857(f857(x100112,x100112),x100112),f857(f857(a1,f857(x100112,x100112)),f857(a1,x100112)),a1),f10(f857(x100112,x100112),x100112,a1)),f775(f775(f10(x100112,f857(f857(x100112,x100112),x100112),a1),f88(x100112,x100112)),f105(x100112)))),f775(f775(f9(a1,f857(x100112,x100112),f857(x100112,x100112)),f775(f775(f10(f857(x100112,f857(x100112,x100112)),f857(f857(x100112,x100112),f857(x100112,x100112)),a1),f20(x100112,x100112,x100112)),f775(f775(f9(a1,f857(x100112,x100112),f857(x100112,f857(x100112,x100112))),f775(f775(f10(f857(x100112,f857(x100112,x100112)),f857(f857(x100112,x100112),f857(x100112,f857(x100112,x100112))),a1),f10(x100112,f857(x100112,x100112),x100112)),f775(f775(f10(a844,f857(x100112,f857(x100112,x100112)),a1),f98(x100112)),f775(f775(f9(a1,a1,a844),a330),f2(a1))))),f775(f775(f20(x100112,x100112,x100112),f82(x100112)),f7(x100112))))),f775(f775(f9(x100112,x100112,x100112),f775(f775(f10(x100112,f857(x100112,x100112),x100112),f82(x100112)),f775(f775(f20(x100112,x100112,x100112),f82(x100112)),f7(x100112)))),f80(x100112))))),f53(x100111,f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f105(x100112),x100111))
% 184.29/184.10 [6611]P142(x66111,x66112)+~P142(x66111,x66113)+~P39(f35(a859,a861),x66113,a862,x66112)+~P31(a843,a862,f773(x66113,x66112))
% 184.29/184.10 [6707]~P142(x67071,x67072)+~P39(f35(a859,a861),x67072,a862,x67073)+~P31(a843,a862,f773(x67072,x67073))+~P1(f775(a859,x67073))
% 184.29/184.10 [4759]~P87(x47593)+~P88(x47593)+E(x47591,x47592)+~E(f775(f106(x47593),x47591),f775(f106(x47593),x47592))
% 184.29/184.10 [5896]~P1(f775(x58961,x58962))+~P1(f775(x58961,x58963))+~P1(f775(f775(f232(a850),x58963),f792(x58962,x58961)))+P1(f775(x58961,f2(a850)))
% 184.29/184.10 [6328]P140(x63282,x63281,x63283)+E(x63281,f2(a1))+P1(f775(f775(f232(a1),f2(a1)),f782(x63283,x63281,x63282)))+P1(f775(f775(f233(a1),x63281),f2(a1)))
% 184.29/184.10 [6329]P141(x63292,x63291,x63293)+E(x63291,f2(a1))+P1(f775(f775(f232(a1),f2(a1)),f786(x63293,x63291,x63292)))+P1(f775(f775(f233(a1),x63291),f2(a1)))
% 184.29/184.10 [6461]P140(x64611,x64612,x64613)+~P1(f775(x64611,x64613))+P1(f775(f775(f232(a1),f2(a1)),f782(x64613,x64612,x64611)))+P1(f775(f775(f233(a1),x64612),f2(a1)))
% 184.29/184.10 [6486]P141(x64861,x64862,x64863)+P1(f775(f775(f232(a1),f2(a1)),f786(x64863,x64862,x64861)))+~P1(f775(x64861,f2(a1)))+P1(f775(f775(f233(a1),x64862),f2(a1)))
% 184.29/184.10 [6518]P140(x65182,x65181,x65183)+E(x65181,f2(a1))+~P1(f775(x65182,f782(x65183,x65181,x65182)))+P1(f775(f775(f233(a1),x65181),f2(a1)))
% 184.29/184.10 [6519]P141(x65192,x65191,x65193)+E(x65191,f2(a1))+~P1(f775(x65192,f787(x65193,x65191,x65192)))+P1(f775(f775(f233(a1),x65191),f2(a1)))
% 184.29/184.10 [6624]~P100(x66241)+~P9(x66241)+~P1(f775(f775(f233(x66241),x66242),f44(x66241,x66243)))+P1(f775(f775(f233(x66241),x66242),f671(x66243,x66242,x66241)))
% 184.29/184.10 [6634]P140(x66341,x66342,x66343)+~P1(f775(x66341,x66343))+~P1(f775(x66341,f782(x66343,x66342,x66341)))+P1(f775(f775(f233(a1),x66342),f2(a1)))
% 184.29/184.10 [6667]P141(x66671,x66672,x66673)+~P1(f775(x66671,f787(x66673,x66672,x66671)))+~P1(f775(x66671,f2(a1)))+P1(f775(f775(f233(a1),x66672),f2(a1)))
% 184.29/184.10 [6931]P140(x69312,x69311,x69313)+E(x69311,f2(a1))+P1(f775(f775(f232(a1),f2(a1)),f782(x69313,x69311,x69312)))+P1(f775(f775(f233(a1),x69311),f780(x69313,x69311,x69312)))
% 184.29/184.10 [6932]P141(x69322,x69321,x69323)+E(x69321,f2(a1))+P1(f775(f775(f232(a1),f2(a1)),f786(x69323,x69321,x69322)))+P1(f775(f775(f233(a1),x69321),f785(x69323,x69321,x69322)))
% 184.29/184.10 [7051]P140(x70511,x70512,x70513)+~P1(f775(x70511,x70513))+P1(f775(f775(f232(a1),f2(a1)),f782(x70513,x70512,x70511)))+P1(f775(f775(f233(a1),x70512),f780(x70513,x70512,x70511)))
% 184.29/184.10 [7072]P141(x70721,x70722,x70723)+P1(f775(f775(f232(a1),f2(a1)),f786(x70723,x70722,x70721)))+P1(f775(f775(f233(a1),x70722),f785(x70723,x70722,x70721)))+~P1(f775(x70721,f2(a1)))
% 184.29/184.10 [7103]P140(x71032,x71031,x71033)+E(x71031,f2(a1))+~P1(f775(x71032,f782(x71033,x71031,x71032)))+P1(f775(f775(f233(a1),x71031),f780(x71033,x71031,x71032)))
% 184.29/184.10 [7104]P141(x71042,x71041,x71043)+E(x71041,f2(a1))+~P1(f775(x71042,f787(x71043,x71041,x71042)))+P1(f775(f775(f233(a1),x71041),f785(x71043,x71041,x71042)))
% 184.29/184.10 [7144]P140(x71442,x71441,x71443)+E(x71441,f2(a1))+P1(f775(f775(f232(a1),f2(a1)),f782(x71443,x71441,x71442)))+~P1(f775(x71442,f780(x71443,x71441,x71442)))
% 184.29/184.10 [7145]P141(x71452,x71451,x71453)+E(x71451,f2(a1))+P1(f775(f775(f232(a1),f2(a1)),f786(x71453,x71451,x71452)))+~P1(f775(x71452,f788(x71453,x71451,x71452)))
% 184.29/184.10 [7250]P140(x72501,x72502,x72503)+~P1(f775(x72501,x72503))+~P1(f775(x72501,f782(x72503,x72502,x72501)))+P1(f775(f775(f233(a1),x72502),f780(x72503,x72502,x72501)))
% 184.29/184.10 [7266]P141(x72661,x72662,x72663)+~P1(f775(x72661,f787(x72663,x72662,x72661)))+P1(f775(f775(f233(a1),x72662),f785(x72663,x72662,x72661)))+~P1(f775(x72661,f2(a1)))
% 184.29/184.10 [7272]P140(x72721,x72722,x72723)+~P1(f775(x72721,x72723))+P1(f775(f775(f232(a1),f2(a1)),f782(x72723,x72722,x72721)))+~P1(f775(x72721,f780(x72723,x72722,x72721)))
% 184.29/184.10 [7290]P141(x72901,x72902,x72903)+P1(f775(f775(f232(a1),f2(a1)),f786(x72903,x72902,x72901)))+~P1(f775(x72901,f788(x72903,x72902,x72901)))+~P1(f775(x72901,f2(a1)))
% 184.29/184.10 [7314]P140(x73142,x73141,x73143)+E(x73141,f2(a1))+~P1(f775(x73142,f782(x73143,x73141,x73142)))+~P1(f775(x73142,f780(x73143,x73141,x73142)))
% 184.29/184.10 [7315]P141(x73152,x73151,x73153)+E(x73151,f2(a1))+~P1(f775(x73152,f787(x73153,x73151,x73152)))+~P1(f775(x73152,f788(x73153,x73151,x73152)))
% 184.29/184.10 [7411]P140(x74111,x74112,x74113)+~P1(f775(x74111,x74113))+~P1(f775(x74111,f782(x74113,x74112,x74111)))+~P1(f775(x74111,f780(x74113,x74112,x74111)))
% 184.29/184.10 [7426]P141(x74261,x74262,x74263)+~P1(f775(x74261,f787(x74263,x74262,x74261)))+~P1(f775(x74261,f788(x74263,x74262,x74261)))+~P1(f775(x74261,f2(a1)))
% 184.29/184.10 [7477]P140(x74772,x74771,x74773)+E(x74771,f2(a1))+P1(f775(f775(f232(a1),f2(a1)),f782(x74773,x74771,x74772)))+P1(f775(f775(f232(a1),f780(x74773,x74771,x74772)),f2(a1)))
% 184.29/184.10 [7478]P141(x74782,x74781,x74783)+E(x74781,f2(a1))+P1(f775(f775(f232(a1),f2(a1)),f786(x74783,x74781,x74782)))+P1(f775(f775(f232(a1),f785(x74783,x74781,x74782)),f2(a1)))
% 184.29/184.10 [7479]~P2(x74791)+~P1(f775(f775(f334(x74791),x74793),f176(x74791)))+~P1(f775(f775(f334(x74791),x74792),f176(x74791)))+P1(f775(f775(f334(x74791),f775(f775(f82(x74791),x74792),x74793)),f176(x74791)))
% 184.29/184.10 [7480]~P133(x74801)+~P1(f775(f775(f334(x74801),x74803),f112(x74801)))+~P1(f775(f775(f334(x74801),x74802),f112(x74801)))+P1(f775(f775(f334(x74801),f775(f775(f82(x74801),x74802),x74803)),f112(x74801)))
% 184.29/184.10 [7481]~P2(x74811)+~P1(f775(f775(f334(x74811),x74813),f176(x74811)))+~P1(f775(f775(f334(x74811),x74812),f176(x74811)))+P1(f775(f775(f334(x74811),f775(f775(f83(x74811),x74812),x74813)),f176(x74811)))
% 184.29/184.10 [7482]~P133(x74821)+~P1(f775(f775(f334(x74821),x74823),f112(x74821)))+~P1(f775(f775(f334(x74821),x74822),f112(x74821)))+P1(f775(f775(f334(x74821),f775(f775(f83(x74821),x74822),x74823)),f112(x74821)))
% 184.29/184.10 [7483]~P133(x74831)+~P1(f775(f775(f334(x74831),x74833),f112(x74831)))+~P1(f775(f775(f334(x74831),x74832),f112(x74831)))+P1(f775(f775(f334(x74831),f775(f775(f3(x74831),x74832),x74833)),f112(x74831)))
% 184.29/184.10 [7484]~P81(x74841)+~P1(f775(f775(f233(x74841),x74843),f2(x74841)))+~P1(f775(f775(f233(x74841),x74842),f2(x74841)))+P1(f775(f775(f233(x74841),f775(f775(f82(x74841),x74842),x74843)),f2(x74841)))
% 184.29/184.10 [7485]~P81(x74851)+~P1(f775(f775(f232(x74851),x74852),f2(x74851)))+~P1(f775(f775(f233(x74851),x74853),f2(x74851)))+P1(f775(f775(f233(x74851),f775(f775(f82(x74851),x74852),x74853)),f2(x74851)))
% 184.29/184.10 [7486]~P81(x74861)+~P1(f775(f775(f232(x74861),x74863),f2(x74861)))+~P1(f775(f775(f233(x74861),x74862),f2(x74861)))+P1(f775(f775(f233(x74861),f775(f775(f82(x74861),x74862),x74863)),f2(x74861)))
% 184.29/184.10 [7487]~P81(x74871)+~P1(f775(f775(f232(x74871),x74873),f2(x74871)))+~P1(f775(f775(f232(x74871),x74872),f2(x74871)))+P1(f775(f775(f232(x74871),f775(f775(f82(x74871),x74872),x74873)),f2(x74871)))
% 184.29/184.10 [7513]P140(x75133,x75131,x75132)+E(x75131,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x75131),f783(x75132,x75131,x75133))),f782(x75132,x75131,x75133)),x75132)+P1(f775(f775(f233(a1),x75131),f2(a1)))
% 184.29/184.10 [7514]P141(x75143,x75141,x75142)+E(x75141,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x75141),f787(x75142,x75141,x75143))),f786(x75142,x75141,x75143)),x75142)+P1(f775(f775(f233(a1),x75141),f2(a1)))
% 184.29/184.10 [7599]P140(x75991,x75992,x75993)+~P1(f775(x75991,x75993))+P1(f775(f775(f232(a1),f2(a1)),f782(x75993,x75992,x75991)))+P1(f775(f775(f232(a1),f780(x75993,x75992,x75991)),f2(a1)))
% 184.29/184.10 [7630]P141(x76301,x76302,x76303)+P1(f775(f775(f232(a1),f2(a1)),f786(x76303,x76302,x76301)))+~P1(f775(x76301,f2(a1)))+P1(f775(f775(f232(a1),f785(x76303,x76302,x76301)),f2(a1)))
% 184.29/184.10 [7638]P140(x76383,x76381,x76382)+~P1(f775(x76383,x76382))+E(f775(f775(f82(a1),f775(f775(f83(a1),x76381),f783(x76382,x76381,x76383))),f782(x76382,x76381,x76383)),x76382)+P1(f775(f775(f233(a1),x76381),f2(a1)))
% 184.29/184.10 [7643]P140(x76432,x76431,x76433)+E(x76431,f2(a1))+~P1(f775(x76432,f782(x76433,x76431,x76432)))+P1(f775(f775(f232(a1),f780(x76433,x76431,x76432)),f2(a1)))
% 184.29/184.10 [7644]P141(x76442,x76441,x76443)+E(x76441,f2(a1))+~P1(f775(x76442,f787(x76443,x76441,x76442)))+P1(f775(f775(f232(a1),f785(x76443,x76441,x76442)),f2(a1)))
% 184.29/184.10 [7649]P141(x76493,x76491,x76492)+E(f775(f775(f82(a1),f775(f775(f83(a1),x76491),f787(x76492,x76491,x76493))),f786(x76492,x76491,x76493)),x76492)+~P1(f775(x76493,f2(a1)))+P1(f775(f775(f233(a1),x76491),f2(a1)))
% 184.29/184.10 [7702]P140(x77021,x77022,x77023)+~P1(f775(x77021,x77023))+~P1(f775(x77021,f782(x77023,x77022,x77021)))+P1(f775(f775(f232(a1),f780(x77023,x77022,x77021)),f2(a1)))
% 184.29/184.10 [7707]P141(x77071,x77072,x77073)+~P1(f775(x77071,f787(x77073,x77072,x77071)))+~P1(f775(x77071,f2(a1)))+P1(f775(f775(f232(a1),f785(x77073,x77072,x77071)),f2(a1)))
% 184.29/184.10 [7781]~P62(x77811)+~P1(f775(f775(f233(x77811),f775(f775(f283(x77811),x77813),x77812)),f2(x77811)))+P1(f775(f775(f233(x77811),x77812),f2(x77811)))+P1(f775(f775(f233(x77811),x77813),f2(x77811)))
% 184.29/184.10 [7782]~P119(x77821)+~P1(f775(f775(f232(x77821),f775(f775(f83(x77821),x77823),x77822)),f2(x77821)))+P1(f775(f775(f232(x77821),x77822),f2(x77821)))+P1(f775(f775(f232(x77821),x77823),f2(x77821)))
% 184.29/184.10 [7783]~P62(x77831)+~P1(f775(f775(f232(x77831),f775(f775(f283(x77831),x77833),x77832)),f2(x77831)))+P1(f775(f775(f232(x77831),x77832),f2(x77831)))+P1(f775(f775(f232(x77831),x77833),f2(x77831)))
% 184.29/184.10 [7895]P140(x78953,x78951,x78952)+E(x78951,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x78951),f783(x78952,x78951,x78953))),f782(x78952,x78951,x78953)),x78952)+P1(f775(f775(f233(a1),x78951),f780(x78952,x78951,x78953)))
% 184.29/184.10 [7896]P141(x78963,x78961,x78962)+E(x78961,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x78961),f787(x78962,x78961,x78963))),f786(x78962,x78961,x78963)),x78962)+P1(f775(f775(f233(a1),x78961),f785(x78962,x78961,x78963)))
% 184.29/184.10 [7907]P140(x79073,x79071,x79072)+E(x79071,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x79071),f784(x79072,x79071,x79073))),f780(x79072,x79071,x79073)),x79072)+P1(f775(f775(f232(a1),f2(a1)),f782(x79072,x79071,x79073)))
% 184.29/184.10 [7908]P141(x79083,x79081,x79082)+E(x79081,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x79081),f788(x79082,x79081,x79083))),f785(x79082,x79081,x79083)),x79082)+P1(f775(f775(f232(a1),f2(a1)),f786(x79082,x79081,x79083)))
% 184.29/184.10 [7955]P140(x79553,x79551,x79552)+~P1(f775(x79553,x79552))+E(f775(f775(f82(a1),f775(f775(f83(a1),x79551),f783(x79552,x79551,x79553))),f782(x79552,x79551,x79553)),x79552)+P1(f775(f775(f233(a1),x79551),f780(x79552,x79551,x79553)))
% 184.29/184.10 [7966]P141(x79663,x79661,x79662)+E(f775(f775(f82(a1),f775(f775(f83(a1),x79661),f787(x79662,x79661,x79663))),f786(x79662,x79661,x79663)),x79662)+P1(f775(f775(f233(a1),x79661),f785(x79662,x79661,x79663)))+~P1(f775(x79663,f2(a1)))
% 184.29/184.10 [7972]P140(x79723,x79721,x79722)+~P1(f775(x79723,x79722))+E(f775(f775(f82(a1),f775(f775(f83(a1),x79721),f784(x79722,x79721,x79723))),f780(x79722,x79721,x79723)),x79722)+P1(f775(f775(f232(a1),f2(a1)),f782(x79722,x79721,x79723)))
% 184.29/184.10 [7979]P141(x79793,x79791,x79792)+E(f775(f775(f82(a1),f775(f775(f83(a1),x79791),f788(x79792,x79791,x79793))),f785(x79792,x79791,x79793)),x79792)+P1(f775(f775(f232(a1),f2(a1)),f786(x79792,x79791,x79793)))+~P1(f775(x79793,f2(a1)))
% 184.29/184.10 [7989]P140(x79893,x79891,x79892)+E(x79891,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x79891),f783(x79892,x79891,x79893))),f782(x79892,x79891,x79893)),x79892)+~P1(f775(x79893,f780(x79892,x79891,x79893)))
% 184.29/184.10 [7990]P141(x79903,x79901,x79902)+E(x79901,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x79901),f787(x79902,x79901,x79903))),f786(x79902,x79901,x79903)),x79902)+~P1(f775(x79903,f788(x79902,x79901,x79903)))
% 184.29/184.10 [7991]P140(x79913,x79911,x79912)+E(x79911,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x79911),f784(x79912,x79911,x79913))),f780(x79912,x79911,x79913)),x79912)+~P1(f775(x79913,f782(x79912,x79911,x79913)))
% 184.29/184.10 [7992]P141(x79923,x79921,x79922)+E(x79921,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x79921),f788(x79922,x79921,x79923))),f785(x79922,x79921,x79923)),x79922)+~P1(f775(x79923,f787(x79922,x79921,x79923)))
% 184.29/184.10 [8045]P140(x80453,x80451,x80452)+~P1(f775(x80453,x80452))+E(f775(f775(f82(a1),f775(f775(f83(a1),x80451),f783(x80452,x80451,x80453))),f782(x80452,x80451,x80453)),x80452)+~P1(f775(x80453,f780(x80452,x80451,x80453)))
% 184.29/184.10 [8046]P140(x80463,x80461,x80462)+~P1(f775(x80463,x80462))+E(f775(f775(f82(a1),f775(f775(f83(a1),x80461),f784(x80462,x80461,x80463))),f780(x80462,x80461,x80463)),x80462)+~P1(f775(x80463,f782(x80462,x80461,x80463)))
% 184.29/184.10 [8058]P141(x80583,x80581,x80582)+E(f775(f775(f82(a1),f775(f775(f83(a1),x80581),f787(x80582,x80581,x80583))),f786(x80582,x80581,x80583)),x80582)+~P1(f775(x80583,f788(x80582,x80581,x80583)))+~P1(f775(x80583,f2(a1)))
% 184.29/184.10 [8059]P141(x80593,x80591,x80592)+E(f775(f775(f82(a1),f775(f775(f83(a1),x80591),f788(x80592,x80591,x80593))),f785(x80592,x80591,x80593)),x80592)+~P1(f775(x80593,f787(x80592,x80591,x80593)))+~P1(f775(x80593,f2(a1)))
% 184.29/184.10 [8157]P140(x81573,x81571,x81572)+E(x81571,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x81571),f783(x81572,x81571,x81573))),f782(x81572,x81571,x81573)),x81572)+P1(f775(f775(f232(a1),f780(x81572,x81571,x81573)),f2(a1)))
% 184.29/184.10 [8158]P141(x81583,x81581,x81582)+E(x81581,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x81581),f787(x81582,x81581,x81583))),f786(x81582,x81581,x81583)),x81582)+P1(f775(f775(f232(a1),f785(x81582,x81581,x81583)),f2(a1)))
% 184.29/184.10 [8196]P140(x81963,x81961,x81962)+~P1(f775(x81963,x81962))+E(f775(f775(f82(a1),f775(f775(f83(a1),x81961),f783(x81962,x81961,x81963))),f782(x81962,x81961,x81963)),x81962)+P1(f775(f775(f232(a1),f780(x81962,x81961,x81963)),f2(a1)))
% 184.29/184.10 [8201]P141(x82013,x82011,x82012)+E(f775(f775(f82(a1),f775(f775(f83(a1),x82011),f787(x82012,x82011,x82013))),f786(x82012,x82011,x82013)),x82012)+~P1(f775(x82013,f2(a1)))+P1(f775(f775(f232(a1),f785(x82012,x82011,x82013)),f2(a1)))
% 184.29/184.10 [8332]P140(x83323,x83321,x83322)+E(x83321,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x83321),f784(x83322,x83321,x83323))),f780(x83322,x83321,x83323)),x83322)+E(f775(f775(f82(a1),f775(f775(f83(a1),x83321),f783(x83322,x83321,x83323))),f782(x83322,x83321,x83323)),x83322)
% 184.29/184.10 [8333]P141(x83333,x83331,x83332)+E(x83331,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x83331),f788(x83332,x83331,x83333))),f785(x83332,x83331,x83333)),x83332)+E(f775(f775(f82(a1),f775(f775(f83(a1),x83331),f787(x83332,x83331,x83333))),f786(x83332,x83331,x83333)),x83332)
% 184.29/184.10 [8356]P140(x83563,x83561,x83562)+~P1(f775(x83563,x83562))+E(f775(f775(f82(a1),f775(f775(f83(a1),x83561),f784(x83562,x83561,x83563))),f780(x83562,x83561,x83563)),x83562)+E(f775(f775(f82(a1),f775(f775(f83(a1),x83561),f783(x83562,x83561,x83563))),f782(x83562,x83561,x83563)),x83562)
% 184.29/184.10 [8368]P141(x83683,x83681,x83682)+E(f775(f775(f82(a1),f775(f775(f83(a1),x83681),f788(x83682,x83681,x83683))),f785(x83682,x83681,x83683)),x83682)+E(f775(f775(f82(a1),f775(f775(f83(a1),x83681),f787(x83682,x83681,x83683))),f786(x83682,x83681,x83683)),x83682)+~P1(f775(x83683,f2(a1)))
% 184.29/184.10 [8962]~P119(x89621)+~E(x89623,f2(x89621))+~E(x89622,f2(x89621))+P1(f775(f775(f232(x89621),f775(f775(f82(x89621),f775(f775(f83(x89621),x89622),x89622)),f775(f775(f83(x89621),x89623),x89623))),f2(x89621)))
% 184.29/184.10 [9961]~P110(x99611)+~E(x99613,f2(x99611))+~E(x99612,f2(x99611))+P1(f775(f775(f232(x99611),f775(f775(f82(x99611),f775(f775(f242(x99611),x99612),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x99611),x99613),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))),f2(x99611)))
% 184.29/184.10 [4709]~E(x47093,x47091)+~P113(x47092)+E(x47091,f2(x47092))+E(f775(f775(f283(x47092),x47093),x47091),f80(x47092))
% 184.29/184.10 [4760]~P95(x47601)+~E(x47603,f180(x47601))+~E(x47602,f180(x47601))+E(f775(f775(f103(x47601),x47602),x47603),f180(x47601))
% 184.29/184.10 [4761]~P94(x47611)+~E(x47613,f239(x47611))+~E(x47612,f239(x47611))+E(f775(f775(f104(x47611),x47612),x47613),f239(x47611))
% 184.29/184.10 [4847]~P113(x48473)+E(x48471,x48472)+E(x48472,f2(x48473))+~E(f775(f775(f283(x48473),x48471),x48472),f80(x48473))
% 184.29/184.10 [4863]~P134(x48632)+E(x48631,f2(x48632))+E(x48633,f2(x48632))+~E(f775(f775(f83(x48632),x48633),x48631),f2(x48632))
% 184.29/184.10 [4865]~P127(x48652)+E(x48651,f2(x48652))+E(x48653,f2(x48652))+~E(f775(f775(f83(x48652),x48653),x48651),f2(x48652))
% 184.29/184.10 [5234]~P111(x52343)+E(x52341,x52342)+E(x52341,f775(f81(x52343),x52342))+~E(f775(f775(f83(x52343),x52341),x52341),f775(f775(f83(x52343),x52342),x52342))
% 184.29/184.10 [5270]~P90(x52701)+E(f775(f81(x52701),x52702),x52703)+~E(f775(f775(f103(x52701),x52702),x52703),f239(x52701))+~E(f775(f775(f104(x52701),x52702),x52703),f180(x52701))
% 184.29/184.10 [5345]~P110(x53453)+E(x53451,x53452)+P1(f775(f775(f233(x53453),x53452),x53451))+P1(f775(f775(f233(x53453),x53451),x53452))
% 184.29/184.10 [5351]~P100(x53513)+E(x53511,x53512)+P1(f775(f775(f233(x53513),x53512),x53511))+P1(f775(f775(f233(x53513),x53511),x53512))
% 184.29/184.10 [5352]~E(x53522,x53523)+~P100(x53521)+P1(f775(f775(f232(x53521),x53522),x53523))+P1(f775(f775(f233(x53521),x53522),x53523))
% 184.29/184.10 [5598]~P99(x55983)+E(x55981,x55982)+~P1(f775(f775(f232(x55983),x55982),x55981))+P1(f775(f775(f233(x55983),x55982),x55981))
% 184.29/184.10 [5604]~P99(x56043)+E(x56041,x56042)+~P1(f775(f775(f232(x56043),x56041),x56042))+P1(f775(f775(f233(x56043),x56041),x56042))
% 184.29/184.10 [5606]~P100(x56063)+E(x56061,x56062)+~P1(f775(f775(f232(x56063),x56061),x56062))+P1(f775(f775(f233(x56063),x56061),x56062))
% 184.29/184.10 [5718]P140(x57181,x57182,x57183)+~P1(f775(x57181,x57183))+P1(f775(f775(f233(a1),x57182),f2(a1)))+P1(f775(f775(f233(a1),f2(a1)),x57182))
% 184.29/184.10 [5769]P141(x57691,x57692,x57693)+~P1(f775(x57691,f2(a1)))+P1(f775(f775(f233(a1),x57692),f2(a1)))+P1(f775(f775(f233(a1),f2(a1)),x57692))
% 184.29/184.10 [5773]~P93(x57731)+E(f775(f775(f103(x57731),x57732),f12(x57731,x57733)),x57732)+~P1(f775(f63(x57731),x57733))+~P1(f775(f775(f334(x57731),x57732),x57733))
% 184.29/184.10 [5774]~P93(x57741)+E(f775(f775(f104(x57741),x57742),f15(x57741,x57743)),x57742)+~P1(f775(f63(x57741),x57743))+~P1(f775(f775(f334(x57741),x57742),x57743))
% 184.29/184.10 [5807]~P100(x58071)+E(f775(f775(f236(x58071),x58072),f17(x58071,x58073)),f17(x58071,x58073))+~P1(f775(f63(x58071),x58073))+~P1(f775(f775(f334(x58071),x58072),x58073))
% 184.29/184.10 [5808]~P100(x58081)+E(f775(f775(f179(x58081),x58082),f16(x58081,x58083)),f16(x58081,x58083))+~P1(f775(f63(x58081),x58083))+~P1(f775(f775(f334(x58081),x58082),x58083))
% 184.29/184.10 [5809]~P93(x58091)+E(f775(f775(f103(x58091),x58092),f15(x58091,x58093)),f15(x58091,x58093))+~P1(f775(f63(x58091),x58093))+~P1(f775(f775(f334(x58091),x58092),x58093))
% 184.29/184.10 [5810]~P93(x58101)+E(f775(f775(f104(x58101),x58102),f12(x58101,x58103)),f12(x58101,x58103))+~P1(f775(f63(x58101),x58103))+~P1(f775(f775(f334(x58101),x58102),x58103))
% 184.29/184.10 [5850]E(x58501,x58502)+~P99(x58503)+~P1(f775(f775(f232(x58503),x58502),x58501))+~P1(f775(f775(f232(x58503),x58501),x58502))
% 184.29/184.10 [5992]~P103(x59921)+P1(f775(f775(f232(x59921),x59923),x59922))+~P1(f775(f775(f232(x59921),x59922),x59923))+P1(f775(f775(f233(x59921),x59922),x59923))
% 184.29/184.10 [6016]~P100(x60161)+~P1(f775(f63(x60161),x60163))+P1(f775(f775(f232(x60161),x60162),f16(x60161,x60163)))+~P1(f775(f775(f334(x60161),x60162),x60163))
% 184.29/184.10 [6070]~P100(x60701)+E(f775(f775(f236(x60701),x60702),f13(x60701,f179(x60701),x60703)),x60702)+~P1(f775(f63(x60701),x60703))+~P1(f775(f775(f334(x60701),x60702),x60703))
% 184.29/184.10 [6071]~P100(x60711)+E(f775(f775(f179(x60711),x60712),f14(x60711,f236(x60711),x60713)),x60712)+~P1(f775(f63(x60711),x60713))+~P1(f775(f775(f334(x60711),x60712),x60713))
% 184.29/184.10 [6212]E(x62121,x62122)+~E(f775(f775(f3(a850),x62121),x62123),f775(f775(f3(a850),x62122),x62123))+~P1(f775(f775(f232(a850),x62123),x62121))+~P1(f775(f775(f232(a850),x62123),x62122))
% 184.29/184.10 [6240]~P100(x62401)+~P1(f775(f63(x62401),x62402))+~P1(f775(f775(f334(x62401),x62403),x62402))+P1(f775(f775(f232(x62401),f17(x62401,x62402)),x62403))
% 184.29/184.10 [6307]P140(x63072,x63071,x63073)+E(x63071,f2(a1))+P1(f775(f775(f233(a1),x63071),f780(x63073,x63071,x63072)))+P1(f775(f775(f233(a1),f2(a1)),x63071))
% 184.29/184.10 [6308]P141(x63082,x63081,x63083)+E(x63081,f2(a1))+P1(f775(f775(f233(a1),x63081),f785(x63083,x63081,x63082)))+P1(f775(f775(f233(a1),f2(a1)),x63081))
% 184.29/184.10 [6309]~P100(x63091)+E(f775(f775(f236(x63091),x63092),f14(x63091,f236(x63091),x63093)),f14(x63091,f236(x63091),x63093))+~P1(f775(f63(x63091),x63093))+~P1(f775(f775(f334(x63091),x63092),x63093))
% 184.29/184.10 [6310]~P100(x63101)+E(f775(f775(f179(x63101),x63102),f13(x63101,f179(x63101),x63103)),f13(x63101,f179(x63101),x63103))+~P1(f775(f63(x63101),x63103))+~P1(f775(f775(f334(x63101),x63102),x63103))
% 184.29/184.10 [6317]~P1(f775(x63171,x63172))+P1(f775(x63171,f810(x63172,x63171,x63173)))+P1(f775(x63171,f2(a850)))+~P1(f775(f775(f233(a850),x63172),x63173))
% 184.29/184.10 [6376]~P1(f775(x63761,x63762))+~P1(f775(f63(x63763),x63762))+P1(f775(x63761,f482(x63761,x63762,x63763)))+P1(f775(x63761,f180(f857(x63763,a844))))
% 184.29/184.10 [6391]~P110(x63911)+~P88(x63911)+P1(f775(f775(f233(x63911),f775(f106(x63911),x63912)),f775(f106(x63911),x63913)))+~P1(f775(f775(f233(a1),x63912),x63913))
% 184.29/184.10 [6392]~P110(x63921)+~P88(x63921)+P1(f775(f775(f232(x63921),f775(f106(x63921),x63922)),f775(f106(x63921),x63923)))+~P1(f775(f775(f232(a1),x63922),x63923))
% 184.29/184.10 [6395]~P1(f775(x63951,x63953))+~P1(f775(f63(x63952),x63953))+P1(f775(f63(x63952),f482(x63951,x63953,x63952)))+P1(f775(x63951,f180(f857(x63952,a844))))
% 184.29/184.10 [6429]P140(x64291,x64292,x64293)+~P1(f775(x64291,x64293))+P1(f775(f775(f233(a1),x64292),f780(x64293,x64292,x64291)))+P1(f775(f775(f233(a1),f2(a1)),x64292))
% 184.29/184.10 [6469]P141(x64691,x64692,x64693)+P1(f775(f775(f233(a1),x64692),f785(x64693,x64692,x64691)))+~P1(f775(x64691,f2(a1)))+P1(f775(f775(f233(a1),f2(a1)),x64692))
% 184.29/184.10 [6497]~P102(x64971)+~P89(x64971)+E(f775(f775(f236(x64971),f775(f106(x64971),x64972)),f775(f106(x64971),x64973)),f775(f106(x64971),x64973))+P1(f775(f775(f232(x64971),f775(f106(x64971),x64972)),f775(f106(x64971),x64973)))
% 184.29/184.10 [6498]~P102(x64981)+~P89(x64981)+E(f775(f775(f179(x64981),f775(f106(x64981),x64982)),f775(f106(x64981),x64983)),f775(f106(x64981),x64982))+P1(f775(f775(f232(x64981),f775(f106(x64981),x64982)),f775(f106(x64981),x64983)))
% 184.29/184.10 [6560]P140(x65602,x65601,x65603)+E(x65601,f2(a1))+~P1(f775(x65602,f780(x65603,x65601,x65602)))+P1(f775(f775(f233(a1),f2(a1)),x65601))
% 184.29/184.10 [6561]P141(x65612,x65611,x65613)+E(x65611,f2(a1))+~P1(f775(x65612,f788(x65613,x65611,x65612)))+P1(f775(f775(f233(a1),f2(a1)),x65611))
% 184.29/184.10 [6657]P140(x66571,x66572,x66573)+~P1(f775(x66571,x66573))+~P1(f775(x66571,f780(x66573,x66572,x66571)))+P1(f775(f775(f233(a1),f2(a1)),x66572))
% 184.29/184.10 [6687]P141(x66871,x66872,x66873)+~P1(f775(x66871,f788(x66873,x66872,x66871)))+~P1(f775(x66871,f2(a1)))+P1(f775(f775(f233(a1),f2(a1)),x66872))
% 184.29/184.10 [6805]~P88(x68053)+~P110(x68053)+~P1(f775(f775(f233(x68053),f775(f106(x68053),x68051)),f775(f106(x68053),x68052)))+P1(f775(f775(f233(a1),x68051),x68052))
% 184.29/184.10 [6806]~P88(x68063)+~P110(x68063)+~P1(f775(f775(f232(x68063),f775(f106(x68063),x68061)),f775(f106(x68063),x68062)))+P1(f775(f775(f232(a1),x68061),x68062))
% 184.29/184.10 [6835]~P100(x68351)+~P18(x68351,x68353)+P18(x68351,f775(f775(f140(x68351),x68352),x68353))+~P1(f775(f775(f232(x68351),x68352),f762(x68353,x68352,x68351)))
% 184.29/184.10 [6836]~P100(x68361)+~P18(x68361,x68363)+P18(x68361,f775(f775(f140(x68361),x68362),x68363))+~P1(f775(f775(f232(x68361),x68362),f763(x68363,x68362,x68361)))
% 184.29/184.10 [6923]P140(x69232,x69231,x69233)+E(x69231,f2(a1))+P1(f775(f775(f233(a1),x69231),f2(a1)))+P1(f775(f775(f233(a1),f782(x69233,x69231,x69232)),x69231))
% 184.29/184.10 [6924]P141(x69242,x69241,x69243)+E(x69241,f2(a1))+P1(f775(f775(f233(a1),x69241),f2(a1)))+P1(f775(f775(f233(a1),f786(x69243,x69241,x69242)),x69241))
% 184.29/184.10 [6933]~P142(x69331,x69333)+P142(x69331,x69332)+~P39(f35(a859,a861),x69333,a862,x69332)+P1(f775(f775(f334(f849(a843)),f773(x69333,x69332)),a860))
% 184.29/184.10 [6964]P140(x69642,x69641,x69643)+E(x69641,f2(a1))+P1(f775(f775(f232(a1),f780(x69643,x69641,x69642)),f2(a1)))+P1(f775(f775(f233(a1),f2(a1)),x69641))
% 184.29/184.10 [6965]P141(x69652,x69651,x69653)+E(x69651,f2(a1))+P1(f775(f775(f232(a1),f785(x69653,x69651,x69652)),f2(a1)))+P1(f775(f775(f233(a1),f2(a1)),x69651))
% 184.29/184.10 [6983]~P100(x69831)+~P18(x69831,x69833)+E(f775(f775(f138(x69831,x69831,f7(x69831)),x69832),f151(x69831,x69832,x69833)),x69833)+~P1(f775(f775(f334(x69831),x69832),f775(f158(x69831),x69833)))
% 184.29/184.10 [7007]~P142(x70073,x70071)+~P39(f35(a859,a861),x70071,a862,x70072)+~P1(f775(a859,x70072))+P1(f775(f775(f334(f849(a843)),f773(x70071,x70072)),a860))
% 184.29/184.10 [7034]P140(x70341,x70342,x70343)+~P1(f775(x70341,x70343))+P1(f775(f775(f233(a1),x70342),f2(a1)))+P1(f775(f775(f233(a1),f782(x70343,x70342,x70341)),x70342))
% 184.29/184.10 [7040]~P102(x70401)+~P89(x70401)+E(f775(f775(f236(x70401),f775(f106(x70401),x70402)),f775(f106(x70401),x70403)),f775(f106(x70401),x70402))+~P1(f775(f775(f232(x70401),f775(f106(x70401),x70402)),f775(f106(x70401),x70403)))
% 184.29/184.10 [7041]~P102(x70411)+~P89(x70411)+E(f775(f775(f179(x70411),f775(f106(x70411),x70412)),f775(f106(x70411),x70413)),f775(f106(x70411),x70413))+~P1(f775(f775(f232(x70411),f775(f106(x70411),x70412)),f775(f106(x70411),x70413)))
% 184.29/184.10 [7054]P141(x70541,x70542,x70543)+~P1(f775(x70541,f2(a1)))+P1(f775(f775(f233(a1),x70542),f2(a1)))+P1(f775(f775(f233(a1),f786(x70543,x70542,x70541)),x70542))
% 184.29/184.10 [7064]P140(x70641,x70642,x70643)+~P1(f775(x70641,x70643))+P1(f775(f775(f232(a1),f780(x70643,x70642,x70641)),f2(a1)))+P1(f775(f775(f233(a1),f2(a1)),x70642))
% 184.29/184.10 [7088]P141(x70881,x70882,x70883)+~P1(f775(x70881,f2(a1)))+P1(f775(f775(f232(a1),f785(x70883,x70882,x70881)),f2(a1)))+P1(f775(f775(f233(a1),f2(a1)),x70882))
% 184.29/184.10 [7115]~P1(f775(x71151,x71152))+P1(f775(x71151,f2(a850)))+~P1(f775(f775(f233(a850),x71152),x71153))+P1(f775(f775(f233(a850),f810(x71152,x71151,x71153)),x71153))
% 184.29/184.10 [7132]~P100(x71321)+~P18(x71321,x71323)+P18(x71321,f775(f775(f140(x71321),x71322),x71323))+P1(f775(f775(f334(x71321),f762(x71323,x71322,x71321)),f775(f158(x71321),x71323)))
% 184.29/184.10 [7133]~P100(x71331)+~P18(x71331,x71333)+P18(x71331,f775(f775(f140(x71331),x71332),x71333))+P1(f775(f775(f334(x71331),f763(x71333,x71332,x71331)),f775(f158(x71331),x71333)))
% 184.29/184.10 [7255]~P100(x72551)+~P9(x72551)+~P1(f775(f775(f233(x72551),x72553),f44(x72551,x72552)))+P1(f775(f775(f334(x72551),f671(x72552,x72553,x72551)),x72552))
% 184.29/184.10 [7424]~P100(x74241)+~P9(x74241)+~P1(f775(f775(f233(x74241),f45(x74241,x74243)),x74242))+P1(f775(f775(f334(x74241),f674(x74242,x74243,x74241)),x74243))
% 184.29/184.10 [7425]~P100(x74251)+~P9(x74251)+~P1(f775(f775(f233(x74251),f45(x74251,x74253)),x74252))+P1(f775(f775(f233(x74251),f674(x74252,x74253,x74251)),x74252))
% 184.29/184.10 [7439]P140(x74392,x74391,x74393)+E(x74391,f2(a1))+P1(f775(f775(f233(a1),x74391),f780(x74393,x74391,x74392)))+P1(f775(f775(f233(a1),f782(x74393,x74391,x74392)),x74391))
% 184.29/184.10 [7440]P141(x74402,x74401,x74403)+E(x74401,f2(a1))+P1(f775(f775(f233(a1),x74401),f785(x74403,x74401,x74402)))+P1(f775(f775(f233(a1),f786(x74403,x74401,x74402)),x74401))
% 184.29/184.10 [7536]P140(x75363,x75361,x75362)+E(x75361,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x75361),f784(x75362,x75361,x75363))),f780(x75362,x75361,x75363)),x75362)+P1(f775(f775(f233(a1),f2(a1)),x75361))
% 184.29/184.10 [7537]P141(x75373,x75371,x75372)+E(x75371,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x75371),f788(x75372,x75371,x75373))),f785(x75372,x75371,x75373)),x75372)+P1(f775(f775(f233(a1),f2(a1)),x75371))
% 184.29/184.10 [7539]~P123(x75391)+~P1(f775(f775(f233(x75391),x75393),f2(x75391)))+P1(f775(f775(f233(x75391),f775(f775(f83(x75391),x75392),x75393)),f2(x75391)))+~P1(f775(f775(f233(x75391),f2(x75391)),x75392))
% 184.29/184.10 [7540]~P123(x75401)+~P1(f775(f775(f233(x75401),x75402),f2(x75401)))+P1(f775(f775(f233(x75401),f775(f775(f83(x75401),x75402),x75403)),f2(x75401)))+~P1(f775(f775(f233(x75401),f2(x75401)),x75403))
% 184.29/184.10 [7541]~P62(x75411)+~P1(f775(f775(f233(x75411),x75413),f2(x75411)))+P1(f775(f775(f233(x75411),f775(f775(f283(x75411),x75412),x75413)),f2(x75411)))+~P1(f775(f775(f233(x75411),f2(x75411)),x75412))
% 184.29/184.10 [7542]~P62(x75421)+~P1(f775(f775(f233(x75421),x75422),f2(x75421)))+P1(f775(f775(f233(x75421),f775(f775(f283(x75421),x75422),x75423)),f2(x75421)))+~P1(f775(f775(f233(x75421),f2(x75421)),x75423))
% 184.29/184.10 [7543]~P63(x75431)+~P1(f775(f775(f233(x75431),x75433),f2(x75431)))+P1(f775(f775(f233(x75431),f775(f775(f283(x75431),x75432),x75433)),f2(x75431)))+~P1(f775(f775(f233(x75431),f2(x75431)),x75432))
% 184.29/184.10 [7544]~P63(x75441)+~P1(f775(f775(f233(x75441),x75442),f2(x75441)))+P1(f775(f775(f233(x75441),f775(f775(f283(x75441),x75442),x75443)),f2(x75441)))+~P1(f775(f775(f233(x75441),f2(x75441)),x75443))
% 184.29/184.10 [7546]~P119(x75461)+~P1(f775(f775(f232(x75461),x75463),f2(x75461)))+P1(f775(f775(f232(x75461),f775(f775(f83(x75461),x75462),x75463)),f2(x75461)))+~P1(f775(f775(f232(x75461),f2(x75461)),x75462))
% 184.29/184.10 [7547]~P119(x75471)+~P1(f775(f775(f232(x75471),x75472),f2(x75471)))+P1(f775(f775(f232(x75471),f775(f775(f83(x75471),x75472),x75473)),f2(x75471)))+~P1(f775(f775(f232(x75471),f2(x75471)),x75473))
% 184.29/184.10 [7549]~P128(x75491)+~P1(f775(f775(f232(x75491),x75493),f2(x75491)))+P1(f775(f775(f232(x75491),f775(f775(f83(x75491),x75492),x75493)),f2(x75491)))+~P1(f775(f775(f232(x75491),f2(x75491)),x75492))
% 184.29/184.10 [7551]~P128(x75511)+~P1(f775(f775(f232(x75511),x75512),f2(x75511)))+P1(f775(f775(f232(x75511),f775(f775(f83(x75511),x75512),x75513)),f2(x75511)))+~P1(f775(f775(f232(x75511),f2(x75511)),x75513))
% 184.29/184.10 [7552]~P62(x75521)+~P1(f775(f775(f232(x75521),x75523),f2(x75521)))+P1(f775(f775(f232(x75521),f775(f775(f283(x75521),x75522),x75523)),f2(x75521)))+~P1(f775(f775(f232(x75521),f2(x75521)),x75522))
% 184.29/184.10 [7553]~P62(x75531)+~P1(f775(f775(f232(x75531),x75532),f2(x75531)))+P1(f775(f775(f232(x75531),f775(f775(f283(x75531),x75532),x75533)),f2(x75531)))+~P1(f775(f775(f232(x75531),f2(x75531)),x75533))
% 184.29/184.10 [7554]~P63(x75541)+~P1(f775(f775(f233(x75541),x75543),f2(x75541)))+P1(f775(f775(f232(x75541),f775(f775(f283(x75541),x75542),x75543)),f2(x75541)))+~P1(f775(f775(f232(x75541),f2(x75541)),x75542))
% 184.29/184.10 [7555]~P63(x75551)+~P1(f775(f775(f232(x75551),x75552),f2(x75551)))+P1(f775(f775(f232(x75551),f775(f775(f283(x75551),x75552),x75553)),f2(x75551)))+~P1(f775(f775(f233(x75551),f2(x75551)),x75553))
% 184.29/184.10 [7571]P140(x75711,x75712,x75713)+~P1(f775(x75711,x75713))+P1(f775(f775(f233(a1),x75712),f780(x75713,x75712,x75711)))+P1(f775(f775(f233(a1),f782(x75713,x75712,x75711)),x75712))
% 184.29/184.10 [7584]P141(x75841,x75842,x75843)+P1(f775(f775(f233(a1),x75842),f785(x75843,x75842,x75841)))+~P1(f775(x75841,f2(a1)))+P1(f775(f775(f233(a1),f786(x75843,x75842,x75841)),x75842))
% 184.29/184.10 [7636]P140(x76362,x76361,x76363)+E(x76361,f2(a1))+~P1(f775(x76362,f780(x76363,x76361,x76362)))+P1(f775(f775(f233(a1),f782(x76363,x76361,x76362)),x76361))
% 184.29/184.10 [7637]P141(x76372,x76371,x76373)+E(x76371,f2(a1))+~P1(f775(x76372,f788(x76373,x76371,x76372)))+P1(f775(f775(f233(a1),f786(x76373,x76371,x76372)),x76371))
% 184.29/184.10 [7646]P140(x76463,x76461,x76462)+~P1(f775(x76463,x76462))+E(f775(f775(f82(a1),f775(f775(f83(a1),x76461),f784(x76462,x76461,x76463))),f780(x76462,x76461,x76463)),x76462)+P1(f775(f775(f233(a1),f2(a1)),x76461))
% 184.29/184.10 [7664]P141(x76643,x76641,x76642)+E(f775(f775(f82(a1),f775(f775(f83(a1),x76641),f788(x76642,x76641,x76643))),f785(x76642,x76641,x76643)),x76642)+~P1(f775(x76643,f2(a1)))+P1(f775(f775(f233(a1),f2(a1)),x76641))
% 184.29/184.10 [7688]~P1(f775(x76881,x76883))+~P1(f775(f63(x76882),x76883))+P1(f775(f775(f334(x76882),f483(x76881,x76883,x76882)),f482(x76881,x76883,x76882)))+P1(f775(x76881,f180(f857(x76882,a844))))
% 184.29/184.10 [7698]P140(x76981,x76982,x76983)+~P1(f775(x76981,x76983))+~P1(f775(x76981,f780(x76983,x76982,x76981)))+P1(f775(f775(f233(a1),f782(x76983,x76982,x76981)),x76982))
% 184.29/184.10 [7704]P141(x77041,x77042,x77043)+~P1(f775(x77041,f788(x77043,x77042,x77041)))+~P1(f775(x77041,f2(a1)))+P1(f775(f775(f233(a1),f786(x77043,x77042,x77041)),x77042))
% 184.29/184.10 [7812]~P62(x78121)+~P1(f775(f775(f233(x78121),f775(f775(f283(x78121),x78123),x78122)),f2(x78121)))+P1(f775(f775(f233(x78121),x78122),f2(x78121)))+P1(f775(f775(f233(x78121),f2(x78121)),x78122))
% 184.29/184.10 [7813]~P62(x78131)+~P1(f775(f775(f233(x78131),f775(f775(f283(x78131),x78132),x78133)),f2(x78131)))+P1(f775(f775(f233(x78131),x78132),f2(x78131)))+P1(f775(f775(f233(x78131),f2(x78131)),x78132))
% 184.29/184.10 [7814]~P119(x78141)+~P1(f775(f775(f232(x78141),f775(f775(f83(x78141),x78143),x78142)),f2(x78141)))+P1(f775(f775(f232(x78141),x78142),f2(x78141)))+P1(f775(f775(f232(x78141),f2(x78141)),x78142))
% 184.29/184.10 [7815]~P119(x78151)+~P1(f775(f775(f232(x78151),f775(f775(f83(x78151),x78152),x78153)),f2(x78151)))+P1(f775(f775(f232(x78151),x78152),f2(x78151)))+P1(f775(f775(f232(x78151),f2(x78151)),x78152))
% 184.29/184.10 [7816]~P62(x78161)+~P1(f775(f775(f232(x78161),f775(f775(f283(x78161),x78163),x78162)),f2(x78161)))+P1(f775(f775(f232(x78161),x78162),f2(x78161)))+P1(f775(f775(f232(x78161),f2(x78161)),x78162))
% 184.29/184.10 [7817]~P62(x78171)+~P1(f775(f775(f232(x78171),f775(f775(f283(x78171),x78172),x78173)),f2(x78171)))+P1(f775(f775(f232(x78171),x78172),f2(x78171)))+P1(f775(f775(f232(x78171),f2(x78171)),x78172))
% 184.29/184.10 [7843]~P62(x78431)+~P1(f775(f775(f233(x78431),f775(f775(f283(x78431),x78432),x78433)),f2(x78431)))+P1(f775(f775(f233(x78431),f2(x78431)),x78432))+P1(f775(f775(f233(x78431),f2(x78431)),x78433))
% 184.29/184.10 [7844]~P119(x78441)+~P1(f775(f775(f232(x78441),f775(f775(f83(x78441),x78442),x78443)),f2(x78441)))+P1(f775(f775(f232(x78441),f2(x78441)),x78442))+P1(f775(f775(f232(x78441),f2(x78441)),x78443))
% 184.29/184.10 [7845]~P62(x78451)+~P1(f775(f775(f232(x78451),f775(f775(f283(x78451),x78452),x78453)),f2(x78451)))+P1(f775(f775(f232(x78451),f2(x78451)),x78452))+P1(f775(f775(f232(x78451),f2(x78451)),x78453))
% 184.29/184.10 [7864]P140(x78642,x78641,x78643)+E(x78641,f2(a1))+P1(f775(f775(f232(a1),f780(x78643,x78641,x78642)),f2(a1)))+P1(f775(f775(f233(a1),f782(x78643,x78641,x78642)),x78641))
% 184.29/184.10 [7865]P141(x78652,x78651,x78653)+E(x78651,f2(a1))+P1(f775(f775(f232(a1),f785(x78653,x78651,x78652)),f2(a1)))+P1(f775(f775(f233(a1),f786(x78653,x78651,x78652)),x78651))
% 184.29/184.10 [7871]~P117(x78711)+~P1(f775(f775(f233(x78711),x78712),f80(x78711)))+P1(f775(f775(f233(x78711),f775(f775(f242(x78711),x78712),f775(a114,x78713))),f80(x78711)))+~P1(f775(f775(f233(x78711),f2(x78711)),x78712))
% 184.29/184.10 [7925]~P100(x79251)+~E(x79253,f115(x79251))+~P18(x79251,f775(f142(x79251),x79253))+E(f775(f132(x79251,x79251,f775(f9(x79251,x79251,x79251),f179(x79251)),x79252),f775(f142(x79251),x79253)),x79252)
% 184.29/184.10 [7927]P140(x79271,x79272,x79273)+~P1(f775(x79271,x79273))+P1(f775(f775(f232(a1),f780(x79273,x79272,x79271)),f2(a1)))+P1(f775(f775(f233(a1),f782(x79273,x79272,x79271)),x79272))
% 184.29/184.10 [7939]P141(x79391,x79392,x79393)+~P1(f775(x79391,f2(a1)))+P1(f775(f775(f232(a1),f785(x79393,x79392,x79391)),f2(a1)))+P1(f775(f775(f233(a1),f786(x79393,x79392,x79391)),x79392))
% 184.29/184.10 [8152]P140(x81523,x81521,x81522)+E(x81521,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x81521),f784(x81522,x81521,x81523))),f780(x81522,x81521,x81523)),x81522)+P1(f775(f775(f233(a1),f782(x81522,x81521,x81523)),x81521))
% 184.29/184.10 [8153]P141(x81533,x81531,x81532)+E(x81531,f2(a1))+E(f775(f775(f82(a1),f775(f775(f83(a1),x81531),f788(x81532,x81531,x81533))),f785(x81532,x81531,x81533)),x81532)+P1(f775(f775(f233(a1),f786(x81532,x81531,x81533)),x81531))
% 184.29/184.10 [8188]P140(x81883,x81881,x81882)+~P1(f775(x81883,x81882))+E(f775(f775(f82(a1),f775(f775(f83(a1),x81881),f784(x81882,x81881,x81883))),f780(x81882,x81881,x81883)),x81882)+P1(f775(f775(f233(a1),f782(x81882,x81881,x81883)),x81881))
% 184.29/184.10 [8189]~P66(x81891)+~P70(x81891)+~P38(x81893)+E(f775(f775(f8(a850,x81891),f775(f775(f10(a1,x81891,a850),x81892),f102(a1))),f775(f303(a1,a850,a107),x81893)),f775(f775(f8(a1,x81891),x81892),x81893))
% 184.29/184.10 [8190]~P66(x81901)+~P70(x81901)+~P38(x81903)+E(f775(f775(f11(a850,x81901),f775(f775(f10(a1,x81901,a850),x81902),f102(a1))),f775(f303(a1,a850,a107),x81903)),f775(f775(f11(a1,x81901),x81902),x81903))
% 184.29/184.10 [8198]P141(x81983,x81981,x81982)+E(f775(f775(f82(a1),f775(f775(f83(a1),x81981),f788(x81982,x81981,x81983))),f785(x81982,x81981,x81983)),x81982)+~P1(f775(x81983,f2(a1)))+P1(f775(f775(f233(a1),f786(x81982,x81981,x81983)),x81981))
% 184.29/184.10 [8216]~E(x82162,f2(a850))+~E(f775(f240(a850,a850),x82163),f2(a850))+~E(x82161,f775(f775(f82(a850),f775(f775(f83(a850),f775(f240(a850,a850),x82163)),x82162)),f775(f250(a850,a850),x82163)))+P1(f775(f55(x82161,x82162),x82163))
% 184.29/184.10 [9064]P1(f775(f775(f232(a1),x90641),f2(a1)))+~P1(f775(f775(f233(a1),f775(f775(f82(a1),f775(f775(f83(a1),x90642),x90641)),x90643)),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x90642))+~P1(f775(f775(f232(a1),f2(a1)),x90643))
% 184.29/184.10 [5667]~P93(x56672)+E(x56671,f180(f857(x56672,a844)))+~P1(f775(f63(x56672),x56671))+E(f15(x56672,f775(f775(f302(x56672),x56673),x56671)),f775(f775(f103(x56672),x56673),f15(x56672,x56671)))
% 184.29/184.10 [5668]~P100(x56682)+E(x56681,f180(f857(x56682,a844)))+~P1(f775(f63(x56682),x56681))+E(f16(x56682,f775(f775(f302(x56682),x56683),x56681)),f775(f775(f179(x56682),x56683),f16(x56682,x56681)))
% 184.29/184.10 [5669]~P100(x56692)+E(x56691,f180(f857(x56692,a844)))+~P1(f775(f63(x56692),x56691))+E(f17(x56692,f775(f775(f302(x56692),x56693),x56691)),f775(f775(f236(x56692),x56693),f17(x56692,x56691)))
% 184.29/184.10 [5670]~P93(x56702)+E(x56701,f180(f857(x56702,a844)))+~P1(f775(f63(x56702),x56701))+E(f12(x56702,f775(f775(f302(x56702),x56703),x56701)),f775(f775(f104(x56702),x56703),f12(x56702,x56701)))
% 184.29/184.10 [5989]~P119(x59891)+~E(x59893,f2(x59891))+~E(x59892,f2(x59891))+E(f775(f775(f82(x59891),f775(f775(f83(x59891),x59892),x59892)),f775(f775(f83(x59891),x59893),x59893)),f2(x59891))
% 184.29/184.10 [6064]~P91(x60642)+E(x60641,f180(f857(x60642,a844)))+~P1(f775(f63(x60642),x60641))+E(f775(f65(x60642,f83(x60642)),f775(f775(f302(x60642),x60643),x60641)),f775(f775(f83(x60642),x60643),f775(f65(x60642,f83(x60642)),x60641)))
% 184.29/184.10 [6190]~P100(x61902)+E(x61901,f180(f857(x61902,a844)))+~P1(f775(f63(x61902),x61901))+E(f13(x61902,f179(x61902),f775(f775(f302(x61902),x61903),x61901)),f775(f775(f179(x61902),x61903),f13(x61902,f179(x61902),x61901)))
% 184.29/184.10 [6191]~P100(x61912)+E(x61911,f180(f857(x61912,a844)))+~P1(f775(f63(x61912),x61911))+E(f14(x61912,f236(x61912),f775(f775(f302(x61912),x61913),x61911)),f775(f775(f236(x61912),x61913),f14(x61912,f236(x61912),x61911)))
% 184.29/184.10 [6723]~P64(x67231)+~P1(f775(f63(x67231),x67233))+E(f775(f65(x67231,f83(x67231)),f775(f775(f302(x67231),x67232),x67233)),f775(f775(f66(x67231,x67231,f83(x67231)),x67232),x67233))+P1(f775(f775(f334(x67231),x67232),x67233))
% 184.29/184.10 [6810]~E(f775(f775(f82(a1),x68102),f775(f775(f83(a1),x68103),x68101)),x68103)+~P1(f775(f775(f233(a1),f2(a1)),x68103))+P1(f775(f775(f232(a1),f80(a1)),x68101))+~P1(f775(f775(f233(a1),x68102),x68103))
% 184.29/184.10 [6841]~E(f775(f775(f82(a1),x68412),f775(f775(f83(a1),x68413),x68411)),x68413)+P1(f775(f775(f232(a1),x68411),f80(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x68413))+~P1(f775(f775(f232(a1),f2(a1)),x68412))
% 184.29/184.10 [6859]E(x68591,f2(a850))+~P1(f775(f55(x68593,x68591),x68592))+~P1(f775(f775(f233(a850),f2(a850)),x68591))+P1(f775(f775(f233(a850),f775(f250(a850,a850),x68592)),x68591))
% 184.29/184.10 [6888]~P132(x68881)+~P1(f775(f775(f232(x68881),x68882),f2(x68881)))+~P1(f775(f775(f232(x68881),x68883),f2(x68881)))+E(f775(f775(f83(x68881),f775(f77(x68881),x68882)),f775(f77(x68881),x68883)),f775(f77(x68881),f775(f775(f83(x68881),x68882),x68883)))
% 184.29/184.10 [6941]~P132(x69411)+~P1(f775(f775(f232(x69411),x69412),f2(x69411)))+E(f775(f775(f83(x69411),f775(f77(x69411),x69412)),f775(f77(x69411),x69413)),f775(f77(x69411),f775(f775(f83(x69411),x69412),x69413)))+~P1(f775(f775(f232(x69411),f2(x69411)),x69413))
% 184.29/184.10 [6942]~P132(x69421)+~P1(f775(f775(f232(x69421),x69423),f2(x69421)))+E(f775(f775(f83(x69421),f775(f77(x69421),x69422)),f775(f77(x69421),x69423)),f775(f77(x69421),f775(f775(f83(x69421),x69422),x69423)))+~P1(f775(f775(f232(x69421),f2(x69421)),x69422))
% 184.29/184.10 [6992]~P132(x69921)+E(f775(f775(f83(x69921),f775(f77(x69921),x69922)),f775(f77(x69921),x69923)),f775(f77(x69921),f775(f775(f83(x69921),x69922),x69923)))+~P1(f775(f775(f232(x69921),f2(x69921)),x69922))+~P1(f775(f775(f232(x69921),f2(x69921)),x69923))
% 184.29/184.10 [7011]~P119(x70111)+~P1(f775(f775(f233(x70111),x70113),f2(x70111)))+~P1(f775(f775(f233(x70111),x70112),f2(x70111)))+P1(f775(f775(f233(x70111),f2(x70111)),f775(f775(f83(x70111),x70112),x70113)))
% 184.29/184.10 [7012]~P62(x70121)+~P1(f775(f775(f233(x70121),x70123),f2(x70121)))+~P1(f775(f775(f233(x70121),x70122),f2(x70121)))+P1(f775(f775(f233(x70121),f2(x70121)),f775(f775(f283(x70121),x70122),x70123)))
% 184.29/184.10 [7013]~P63(x70131)+~P1(f775(f775(f233(x70131),x70133),f2(x70131)))+~P1(f775(f775(f233(x70131),x70132),f2(x70131)))+P1(f775(f775(f233(x70131),f2(x70131)),f775(f775(f283(x70131),x70132),x70133)))
% 184.29/184.10 [7014]~P119(x70141)+~P1(f775(f775(f232(x70141),x70143),f2(x70141)))+~P1(f775(f775(f232(x70141),x70142),f2(x70141)))+P1(f775(f775(f232(x70141),f2(x70141)),f775(f775(f83(x70141),x70142),x70143)))
% 184.29/184.10 [7016]~P129(x70161)+~P1(f775(f775(f232(x70161),x70163),f2(x70161)))+~P1(f775(f775(f232(x70161),x70162),f2(x70161)))+P1(f775(f775(f232(x70161),f2(x70161)),f775(f775(f83(x70161),x70162),x70163)))
% 184.29/184.10 [7017]~P62(x70171)+~P1(f775(f775(f232(x70171),x70173),f2(x70171)))+~P1(f775(f775(f232(x70171),x70172),f2(x70171)))+P1(f775(f775(f232(x70171),f2(x70171)),f775(f775(f283(x70171),x70172),x70173)))
% 184.29/184.10 [7018]~P63(x70181)+~P1(f775(f775(f233(x70181),x70183),f2(x70181)))+~P1(f775(f775(f232(x70181),x70182),f2(x70181)))+P1(f775(f775(f232(x70181),f2(x70181)),f775(f775(f283(x70181),x70182),x70183)))
% 184.29/184.10 [7019]~P117(x70191)+~P1(f775(f775(f233(a850),f2(a850)),x70193))+~P1(f775(f775(f233(x70191),f80(x70191)),x70192))+P1(f775(f775(f233(x70191),f80(x70191)),f775(f775(f242(x70191),x70192),x70193)))
% 184.29/184.10 [7116]~P81(x71161)+~P1(f775(f775(f233(x71161),f2(x71161)),x71163))+~P1(f775(f775(f233(x71161),f2(x71161)),x71162))+P1(f775(f775(f233(x71161),f2(x71161)),f775(f775(f82(x71161),x71162),x71163)))
% 184.29/184.10 [7119]~P123(x71191)+~P1(f775(f775(f233(x71191),f2(x71191)),x71193))+~P1(f775(f775(f233(x71191),f2(x71191)),x71192))+P1(f775(f775(f233(x71191),f2(x71191)),f775(f775(f83(x71191),x71192),x71193)))
% 184.29/184.10 [7120]~P62(x71201)+~P1(f775(f775(f233(x71201),f2(x71201)),x71203))+~P1(f775(f775(f233(x71201),f2(x71201)),x71202))+P1(f775(f775(f233(x71201),f2(x71201)),f775(f775(f283(x71201),x71202),x71203)))
% 184.29/184.10 [7121]~P63(x71211)+~P1(f775(f775(f233(x71211),f2(x71211)),x71213))+~P1(f775(f775(f233(x71211),f2(x71211)),x71212))+P1(f775(f775(f233(x71211),f2(x71211)),f775(f775(f283(x71211),x71212),x71213)))
% 184.29/184.10 [7122]~P117(x71221)+~P1(f775(f775(f233(x71221),f80(x71221)),x71223))+~P1(f775(f775(f233(x71221),f80(x71221)),x71222))+P1(f775(f775(f233(x71221),f80(x71221)),f775(f775(f83(x71221),x71222),x71223)))
% 184.29/184.10 [7124]~P119(x71241)+~P1(f775(f775(f232(x71241),f2(x71241)),x71243))+~P1(f775(f775(f232(x71241),f2(x71241)),x71242))+P1(f775(f775(f232(x71241),f2(x71241)),f775(f775(f83(x71241),x71242),x71243)))
% 184.29/184.10 [7125]~P128(x71251)+~P1(f775(f775(f232(x71251),f2(x71251)),x71253))+~P1(f775(f775(f232(x71251),f2(x71251)),x71252))+P1(f775(f775(f232(x71251),f2(x71251)),f775(f775(f83(x71251),x71252),x71253)))
% 184.29/184.10 [7126]~P129(x71261)+~P1(f775(f775(f232(x71261),f2(x71261)),x71263))+~P1(f775(f775(f232(x71261),f2(x71261)),x71262))+P1(f775(f775(f232(x71261),f2(x71261)),f775(f775(f83(x71261),x71262),x71263)))
% 184.29/184.10 [7127]~P62(x71271)+~P1(f775(f775(f232(x71271),f2(x71271)),x71273))+~P1(f775(f775(f232(x71271),f2(x71271)),x71272))+P1(f775(f775(f232(x71271),f2(x71271)),f775(f775(f283(x71271),x71272),x71273)))
% 184.29/184.10 [7128]~P63(x71281)+~P1(f775(f775(f233(x71281),f2(x71281)),x71283))+~P1(f775(f775(f232(x71281),f2(x71281)),x71282))+P1(f775(f775(f232(x71281),f2(x71281)),f775(f775(f283(x71281),x71282),x71283)))
% 184.29/184.10 [7206]~P93(x72061)+~P1(f775(f63(x72061),x72063))+E(f15(x72061,f775(f775(f302(x72061),x72062),x72063)),x72062)+~E(f775(f775(f3(f857(x72061,a844)),x72063),f775(f775(f302(x72061),x72062),f180(f857(x72061,a844)))),f180(f857(x72061,a844)))
% 184.29/184.10 [7207]~P100(x72071)+~P1(f775(f63(x72071),x72073))+E(f16(x72071,f775(f775(f302(x72071),x72072),x72073)),x72072)+~E(f775(f775(f3(f857(x72071,a844)),x72073),f775(f775(f302(x72071),x72072),f180(f857(x72071,a844)))),f180(f857(x72071,a844)))
% 184.29/184.10 [7208]~P100(x72081)+~P1(f775(f63(x72081),x72083))+E(f17(x72081,f775(f775(f302(x72081),x72082),x72083)),x72082)+~E(f775(f775(f3(f857(x72081,a844)),x72083),f775(f775(f302(x72081),x72082),f180(f857(x72081,a844)))),f180(f857(x72081,a844)))
% 184.29/184.10 [7209]~P93(x72091)+~P1(f775(f63(x72091),x72093))+E(f12(x72091,f775(f775(f302(x72091),x72092),x72093)),x72092)+~E(f775(f775(f3(f857(x72091,a844)),x72093),f775(f775(f302(x72091),x72092),f180(f857(x72091,a844)))),f180(f857(x72091,a844)))
% 184.29/184.10 [7210]~P62(x72101)+P1(f775(f775(f233(x72101),x72102),f2(x72101)))+P1(f775(f775(f233(x72101),f2(x72101)),x72103))+~P1(f775(f775(f233(x72101),f2(x72101)),f775(f775(f283(x72101),x72103),x72102)))
% 184.29/184.10 [7211]~P62(x72111)+P1(f775(f775(f233(x72111),x72112),f2(x72111)))+P1(f775(f775(f233(x72111),f2(x72111)),x72113))+~P1(f775(f775(f233(x72111),f2(x72111)),f775(f775(f283(x72111),x72112),x72113)))
% 184.29/184.10 [7212]~P62(x72121)+P1(f775(f775(f233(x72121),x72122),f2(x72121)))+P1(f775(f775(f233(x72121),f2(x72121)),x72122))+~P1(f775(f775(f233(x72121),f2(x72121)),f775(f775(f283(x72121),x72123),x72122)))
% 184.29/184.10 [7213]~P62(x72131)+P1(f775(f775(f233(x72131),x72132),f2(x72131)))+P1(f775(f775(f233(x72131),f2(x72131)),x72132))+~P1(f775(f775(f233(x72131),f2(x72131)),f775(f775(f283(x72131),x72132),x72133)))
% 184.29/184.10 [7214]~P119(x72141)+P1(f775(f775(f232(x72141),x72142),f2(x72141)))+P1(f775(f775(f232(x72141),f2(x72141)),x72143))+~P1(f775(f775(f232(x72141),f2(x72141)),f775(f775(f83(x72141),x72143),x72142)))
% 184.29/184.10 [7215]~P119(x72151)+P1(f775(f775(f232(x72151),x72152),f2(x72151)))+P1(f775(f775(f232(x72151),f2(x72151)),x72153))+~P1(f775(f775(f232(x72151),f2(x72151)),f775(f775(f83(x72151),x72152),x72153)))
% 184.29/184.10 [7216]~P62(x72161)+P1(f775(f775(f232(x72161),x72162),f2(x72161)))+P1(f775(f775(f232(x72161),f2(x72161)),x72163))+~P1(f775(f775(f232(x72161),f2(x72161)),f775(f775(f283(x72161),x72163),x72162)))
% 184.29/184.10 [7217]~P62(x72171)+P1(f775(f775(f232(x72171),x72172),f2(x72171)))+P1(f775(f775(f232(x72171),f2(x72171)),x72173))+~P1(f775(f775(f232(x72171),f2(x72171)),f775(f775(f283(x72171),x72172),x72173)))
% 184.29/184.10 [7218]~P119(x72181)+P1(f775(f775(f232(x72181),x72182),f2(x72181)))+P1(f775(f775(f232(x72181),f2(x72181)),x72182))+~P1(f775(f775(f232(x72181),f2(x72181)),f775(f775(f83(x72181),x72183),x72182)))
% 184.29/184.10 [7219]~P119(x72191)+P1(f775(f775(f232(x72191),x72192),f2(x72191)))+P1(f775(f775(f232(x72191),f2(x72191)),x72192))+~P1(f775(f775(f232(x72191),f2(x72191)),f775(f775(f83(x72191),x72192),x72193)))
% 184.29/184.10 [7220]~P62(x72201)+P1(f775(f775(f232(x72201),x72202),f2(x72201)))+P1(f775(f775(f232(x72201),f2(x72201)),x72202))+~P1(f775(f775(f232(x72201),f2(x72201)),f775(f775(f283(x72201),x72203),x72202)))
% 184.29/184.10 [7221]~P62(x72211)+P1(f775(f775(f232(x72211),x72212),f2(x72211)))+P1(f775(f775(f232(x72211),f2(x72211)),x72212))+~P1(f775(f775(f232(x72211),f2(x72211)),f775(f775(f283(x72211),x72212),x72213)))
% 184.29/184.10 [7306]~P1(f775(f775(f279(a850),x73061),x73063))+P1(f775(f775(f279(a850),x73061),x73062))+~P1(f775(f775(f232(a850),x73062),x73063))+~P1(f775(f775(f279(a850),x73061),f775(f775(f3(a850),x73063),x73062)))
% 184.29/184.10 [7307]~P1(f775(f775(f279(a850),x73071),x73073))+P1(f775(f775(f279(a850),x73071),x73072))+~P1(f775(f775(f232(a850),x73073),x73072))+~P1(f775(f775(f279(a850),x73071),f775(f775(f3(a850),x73072),x73073)))
% 184.29/184.10 [7322]~E(f775(f775(f104(f857(x73221,a844)),f775(f158(x73221),x73222)),f775(f158(x73221),x73223)),f180(f857(x73221,a844)))+~P1(f775(f127(x73221),x73223))+~P1(f775(f127(x73221),x73222))+P1(f775(f127(x73221),f775(f775(f125(x73221),x73222),x73223)))
% 184.29/184.10 [7323]~P100(x73231)+~P1(f775(f63(x73231),x73233))+E(f13(x73231,f179(x73231),f775(f775(f302(x73231),x73232),x73233)),x73232)+~E(f775(f775(f3(f857(x73231,a844)),x73233),f775(f775(f302(x73231),x73232),f180(f857(x73231,a844)))),f180(f857(x73231,a844)))
% 184.29/184.10 [7324]~P100(x73241)+~P1(f775(f63(x73241),x73243))+E(f14(x73241,f236(x73241),f775(f775(f302(x73241),x73242),x73243)),x73242)+~E(f775(f775(f3(f857(x73241,a844)),x73243),f775(f775(f302(x73241),x73242),f180(f857(x73241,a844)))),f180(f857(x73241,a844)))
% 184.29/184.10 [7342]~P110(x73421)+~P1(f775(f775(f233(x73421),x73422),x73423))+~P1(f775(f775(f233(x73421),f775(f81(x73421),x73422)),x73423))+P1(f775(f775(f233(x73421),f775(f77(x73421),x73422)),x73423))
% 184.29/184.10 [7344]~P79(x73441)+~P1(f775(f775(f232(x73441),x73442),x73443))+~P1(f775(f775(f232(x73441),f775(f81(x73441),x73442)),x73443))+P1(f775(f775(f232(x73441),f775(f77(x73441),x73442)),x73443))
% 184.29/184.10 [7413]~P123(x74131)+P1(f775(f775(f233(x74131),f2(x74131)),x74132))+~P1(f775(f775(f233(x74131),f2(x74131)),x74133))+~P1(f775(f775(f233(x74131),f2(x74131)),f775(f775(f83(x74131),x74133),x74132)))
% 184.29/184.10 [7414]~P123(x74141)+P1(f775(f775(f233(x74141),f2(x74141)),x74142))+~P1(f775(f775(f233(x74141),f2(x74141)),x74143))+~P1(f775(f775(f233(x74141),f2(x74141)),f775(f775(f83(x74141),x74142),x74143)))
% 184.29/184.10 [7721]E(x77211,x77212)+~P1(f775(f63(x77213),x77211))+~P1(f775(f775(f232(a850),f775(f42(x77213),x77211)),f775(f42(x77213),x77212)))+~P1(f775(f775(f232(f857(x77213,a844)),x77212),x77211))
% 184.29/184.10 [7868]~P1(f775(f775(f233(a1),x78681),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x78682))+~P1(f775(f775(f232(a1),x78682),x78683))+P1(f775(f775(f232(a1),f775(f775(f43(a1),x78681),x78682)),f775(f775(f43(a1),x78681),x78683)))
% 184.29/184.10 [7879]~P1(f775(f775(f233(a1),f2(a1)),x78793))+~P1(f775(f775(f232(a1),f2(a1)),x78791))+~P1(f775(f775(f232(a1),x78793),x78792))+P1(f775(f775(f232(a1),f775(f775(f43(a1),x78791),x78792)),f775(f775(f43(a1),x78791),x78793)))
% 184.29/184.10 [8014]E(f775(x80141,f814(x80142,x80141,x80143)),x80142)+~P1(f775(f775(f232(a1),x80142),f775(x80141,x80143)))+P1(f775(f775(f233(a850),f815(x80142,x80141,x80143)),x80143))+~P1(f775(f775(f232(a1),f775(x80141,f2(a850))),x80142))
% 184.29/184.10 [8015]E(f775(x80151,f816(x80152,x80151,x80153)),x80152)+~P1(f775(f775(f232(a1),x80152),f775(x80151,x80153)))+P1(f775(f775(f233(a850),f817(x80152,x80151,x80153)),x80153))+~P1(f775(f775(f232(a1),f775(x80151,f2(a850))),x80152))
% 184.29/184.10 [8112]~P1(f775(f63(x81121),x81123))+~P1(f775(f775(f233(a850),f775(f42(x81121),x81122)),f775(f42(x81121),x81123)))+~P1(f775(f775(f232(f857(x81121,a844)),x81122),x81123))+P1(f775(f775(f233(f857(x81121,a844)),x81122),x81123))
% 184.29/184.10 [8141]E(f775(f775(f3(a1),f418(x81413,x81411,x81412)),f419(x81413,x81411,x81412)),x81411)+E(f775(f775(f82(a1),x81411),x81412),x81411)+~P1(f775(f775(f233(a1),f2(a1)),x81412))+~P1(f775(f775(f334(a1),f775(f775(f82(a1),x81411),f80(a1))),x81413))
% 184.29/184.10 [8142]E(f775(f775(f82(a1),f420(x81423,x81421,x81422)),f421(x81423,x81421,x81422)),x81421)+E(f775(f775(f3(a1),x81421),x81422),x81421)+~P1(f775(f775(f233(a1),f2(a1)),x81422))+~P1(f775(f775(f334(a1),f775(f775(f3(a1),x81421),f80(a1))),x81423))
% 184.29/184.10 [8194]~P1(f775(f775(f232(a850),x81943),x81941))+P1(f775(f775(f233(a850),x81941),x81942))+~P1(f775(f775(f232(a850),x81943),x81942))+~P1(f775(f775(f233(a850),f775(f775(f3(a850),x81941),x81943)),f775(f775(f3(a850),x81942),x81943)))
% 184.29/184.10 [8195]~P1(f775(f775(f232(a850),x81953),x81951))+P1(f775(f775(f232(a850),x81951),x81952))+~P1(f775(f775(f232(a850),x81953),x81952))+~P1(f775(f775(f232(a850),f775(f775(f3(a850),x81951),x81953)),f775(f775(f3(a850),x81952),x81953)))
% 184.29/184.10 [8209]~P100(x82092)+E(x82091,f115(x82092))+~P18(x82092,f775(f142(x82092),x82091))+E(f775(f132(x82092,x82092,f775(f9(x82092,x82092,x82092),f179(x82092)),x82093),f775(f142(x82092),x82091)),f775(f775(f179(x82092),f775(f775(f153(x82092),x82091),f2(a850))),x82093))
% 184.29/184.10 [8274]E(f775(f775(f82(a1),x82741),x82742),x82741)+~P1(f775(f775(f233(a1),f2(a1)),x82742))+P1(f775(f775(f334(a1),f418(x82743,x82741,x82742)),x82743))+~P1(f775(f775(f334(a1),f775(f775(f82(a1),x82741),f80(a1))),x82743))
% 184.29/184.10 [8275]E(f775(f775(f3(a1),x82751),x82752),x82751)+~P1(f775(f775(f233(a1),f2(a1)),x82752))+P1(f775(f775(f334(a1),f420(x82753,x82751,x82752)),x82753))+~P1(f775(f775(f334(a1),f775(f775(f3(a1),x82751),f80(a1))),x82753))
% 184.29/184.10 [8354]~P1(f775(f775(f232(a1),x83541),f775(x83542,x83543)))+P1(f775(f775(f232(a850),f814(x83541,x83542,x83543)),x83543))+P1(f775(f775(f233(a850),f815(x83541,x83542,x83543)),x83543))+~P1(f775(f775(f232(a1),f775(x83542,f2(a850))),x83541))
% 184.29/184.10 [8355]~P1(f775(f775(f232(a1),x83551),f775(x83552,x83553)))+P1(f775(f775(f232(a850),f816(x83551,x83552,x83553)),x83553))+P1(f775(f775(f233(a850),f817(x83551,x83552,x83553)),x83553))+~P1(f775(f775(f232(a1),f775(x83552,f2(a850))),x83551))
% 184.29/184.10 [8430]E(f775(f775(f82(a1),x84301),x84302),x84301)+~P1(f775(f775(f233(a1),f2(a1)),x84302))+P1(f775(f775(f334(a1),f419(x84303,x84301,x84302)),f295(a1,f80(a1),x84302)))+~P1(f775(f775(f334(a1),f775(f775(f82(a1),x84301),f80(a1))),x84303))
% 184.29/184.10 [8431]E(f775(f775(f3(a1),x84311),x84312),x84311)+~P1(f775(f775(f233(a1),f2(a1)),x84312))+P1(f775(f775(f334(a1),f421(x84313,x84311,x84312)),f295(a1,f80(a1),x84312)))+~P1(f775(f775(f334(a1),f775(f775(f3(a1),x84311),f80(a1))),x84313))
% 184.29/184.10 [8556]~P117(x85561)+~P1(f775(f775(f233(x85561),x85562),f80(x85561)))+~P1(f775(f775(f233(x85561),f2(x85561)),x85562))+P1(f775(f775(f233(x85561),f775(f775(f83(x85561),x85562),f775(f775(f242(x85561),x85562),x85563))),f775(f775(f242(x85561),x85562),x85563)))
% 184.29/184.10 [8631]~P1(f775(x86311,x86312))+P1(f775(x86311,f2(a850)))+~P1(f775(f775(f233(a850),x86312),x86313))+~P1(f775(x86311,f52(a850,f775(a114,f810(x86312,x86311,x86313)),x86313)))
% 184.29/184.10 [8761]E(f835(x87611,x87612,x87613),f2(a850))+P1(f775(f775(x87611,x87613),x87612))+P1(f775(f775(x87611,f835(x87611,x87612,x87613)),f52(a850,f833(x87611,x87612,x87613),f835(x87611,x87612,x87613))))+~P1(f775(f321(f856(a850,a850),a214),f775(f775(f241(a850,a850),x87613),x87612)))
% 184.29/184.10 [8793]~P29(x87931,x87931,x87932,x87933)+E(f775(f303(x87931,x87931,x87932),x87933),x87933)+~P1(f775(f63(x87931),x87933))+~P1(f775(f775(f232(f857(x87931,a844)),f775(f303(x87931,x87931,x87932),x87933)),x87933))
% 184.29/184.10 [9013]P1(f775(f775(x90131,x90132),x90133))+~P1(f775(f775(f233(a1),f832(x90131,x90133,x90132)),f2(a1)))+P1(f775(f775(x90131,f775(f81(a1),f829(x90131,x90133,x90132))),f775(f81(a1),f832(x90131,x90133,x90132))))+~P1(f775(f321(f856(a1,a1),a216),f775(f775(f241(a1,a1),x90132),x90133)))
% 184.29/184.10 [9171]P1(f775(f775(x91711,x91712),x91713))+P1(f775(f775(x91711,f775(f775(f82(a1),f394(x91711,x91713,x91712)),f80(a1))),f395(x91711,x91713,x91712)))+~P1(f775(f775(f232(a1),f394(x91711,x91713,x91712)),f395(x91711,x91713,x91712)))+~P1(f775(f321(f856(a1,a1),a168),f775(f775(f241(a1,a1),x91712),x91713)))
% 184.29/184.10 [9844]E(f775(x98441,f814(x98442,x98441,x98443)),x98442)+~P1(f775(f775(f232(a1),x98442),f775(x98441,x98443)))+~P1(f775(f775(f232(a1),f775(f77(a1),f775(f775(f3(a1),f775(x98441,f775(f775(f82(a850),f815(x98442,x98441,x98443)),f80(a850)))),f775(x98441,f815(x98442,x98441,x98443))))),f80(a1)))+~P1(f775(f775(f232(a1),f775(x98441,f2(a850))),x98442))
% 184.29/184.10 [9845]E(f775(x98451,f816(x98452,x98451,x98453)),x98452)+~P1(f775(f775(f232(a1),x98452),f775(x98451,x98453)))+~P1(f775(f775(f232(a1),f775(f77(a1),f775(f775(f3(a1),f775(x98451,f775(f775(f82(a850),f817(x98452,x98451,x98453)),f80(a850)))),f775(x98451,f817(x98452,x98451,x98453))))),f80(a1)))+~P1(f775(f775(f232(a1),f775(x98451,f2(a850))),x98452))
% 184.29/184.10 [9849]~P1(f775(f775(f232(a1),x98491),f775(x98492,x98493)))+~P1(f775(f775(f232(a1),f775(f77(a1),f775(f775(f3(a1),f775(x98492,f775(f775(f82(a850),f815(x98491,x98492,x98493)),f80(a850)))),f775(x98492,f815(x98491,x98492,x98493))))),f80(a1)))+P1(f775(f775(f232(a850),f814(x98491,x98492,x98493)),x98493))+~P1(f775(f775(f232(a1),f775(x98492,f2(a850))),x98491))
% 184.29/184.10 [9850]~P1(f775(f775(f232(a1),x98501),f775(x98502,x98503)))+~P1(f775(f775(f232(a1),f775(f77(a1),f775(f775(f3(a1),f775(x98502,f775(f775(f82(a850),f817(x98501,x98502,x98503)),f80(a850)))),f775(x98502,f817(x98501,x98502,x98503))))),f80(a1)))+P1(f775(f775(f232(a850),f816(x98501,x98502,x98503)),x98503))+~P1(f775(f775(f232(a1),f775(x98502,f2(a850))),x98501))
% 184.29/184.10 [9904]E(x99041,x99042)+~E(f775(f132(f851(x99043),f851(x99043),f125(x99043),f115(x99043)),x99041),f775(f132(f851(x99043),f851(x99043),f125(x99043),f115(x99043)),x99042))+~E(f775(f181(f851(f851(x99043))),x99041),f775(f181(f851(f851(x99043))),x99042))+~P1(f775(f775(f251(f851(x99043),f851(x99043),a844),f775(f775(f9(f851(x99043),f857(f851(x99043),a850),f857(f851(x99043),a844)),f775(f775(f10(f857(a850,a844),f857(f857(f851(x99043),a850),f857(f851(x99043),a844)),f851(x99043)),f10(a850,a844,f851(x99043))),f775(f775(f10(a850,f857(a850,a844),f851(x99043)),a330),f181(f851(x99043))))),f181(f851(x99043)))),f770(x99041,x99042,x99043)))
% 184.29/184.10 [9905]E(x99051,x99052)+~E(f775(f132(f851(x99053),f851(x99053),f125(x99053),f115(x99053)),x99051),f775(f132(f851(x99053),f851(x99053),f125(x99053),f115(x99053)),x99052))+~E(f775(f181(f851(f851(x99053))),x99051),f775(f181(f851(f851(x99053))),x99052))+~P1(f775(f775(f251(f851(x99053),f851(x99053),a844),f775(f775(f9(f851(x99053),f857(f851(x99053),a850),f857(f851(x99053),a844)),f775(f775(f10(f857(a850,a844),f857(f857(f851(x99053),a850),f857(f851(x99053),a844)),f851(x99053)),f10(a850,a844,f851(x99053))),f775(f775(f10(a850,f857(a850,a844),f851(x99053)),a330),f181(f851(x99053))))),f181(f851(x99053)))),f771(x99052,x99051,x99053)))
% 184.29/184.10 [6712]~E(f80(a850),f2(a850))+~P1(f775(f63(x67121),x67123))+~P1(f775(f63(x67121),x67122))+E(f775(f775(f82(a850),f775(f42(x67121),x67122)),f775(f42(x67121),x67123)),f775(f42(x67121),f775(f775(f103(f857(x67121,a844)),x67122),x67123)))
% 184.29/184.10 [7134]~P100(x71341)+~P1(f775(f63(x71341),x71342))+~P1(f775(f775(f334(x71341),x71343),x71342))+P1(f775(f775(f232(x71341),f775(f65(x71341,f236(x71341)),x71342)),x71343))
% 184.29/184.10 [7135]~P98(x71351)+~P1(f775(f63(x71351),x71352))+~P1(f775(f775(f334(x71351),x71353),x71352))+P1(f775(f775(f232(x71351),f775(f65(x71351,f104(x71351)),x71352)),x71353))
% 184.29/184.10 [7410]~P1(f775(f63(x74101),x74103))+~P1(f775(f63(x74101),x74102))+~E(f775(f775(f104(f857(x74101,a844)),x74102),x74103),f180(f857(x74101,a844)))+E(f775(f775(f82(a850),f775(f42(x74101),x74102)),f775(f42(x74101),x74103)),f775(f42(x74101),f775(f775(f103(f857(x74101,a844)),x74102),x74103)))
% 184.29/184.10 [8199]~P36(x81991,x81993)+~P36(x81991,x81992)+~E(f775(f775(f104(f857(x81991,a844)),f775(f261(x81991,x81991),x81992)),f775(f259(x81991,x81991),x81993)),f180(f857(x81991,a844)))+P36(x81991,f775(f775(f103(f857(f856(x81991,x81991),a844)),x81992),x81993))
% 184.29/184.10 [8287]E(x82871,f775(f775(f43(a850),x82872),x82873))+~P1(f775(f775(f233(a850),f2(a850)),x82873))+~P1(f775(f775(f233(a850),x82872),f775(f775(f83(a850),x82873),f775(a114,x82871))))+~P1(f775(f775(f232(a850),f775(f775(f83(a850),x82873),x82871)),x82872))
% 184.29/184.10 [8428]~P1(f775(f63(x84281),x84282))+~P1(f775(f63(x84281),x84283))+E(f775(f775(f82(a850),f775(f42(x84281),x84282)),f775(f42(x84281),x84283)),f775(f42(x84281),f775(f775(f103(f857(x84281,a844)),x84282),x84283)))+P1(f775(f775(f334(x84281),f508(x84283,x84282,x84281)),f775(f775(f104(f857(x84281,a844)),x84282),x84283)))
% 184.29/184.10 [8772]~P119(x87722)+~E(x87721,f2(x87722))+~E(x87723,f2(x87722))+~P1(f775(f775(f233(x87722),f2(x87722)),f775(f775(f82(x87722),f775(f775(f83(x87722),x87723),x87723)),f775(f775(f83(x87722),x87721),x87721))))
% 184.29/184.10 [9243]~P36(x92431,x92433)+~P36(x92431,x92432)+P36(x92431,f775(f775(f103(f857(f856(x92431,x92431),a844)),x92432),x92433))+~P1(f775(f775(f232(f857(f856(x92431,x92431),a844)),f775(f775(f281(x92431,x92431,x92431),x92432),x92433)),x92432))
% 184.29/184.10 [9369]~P1(f775(x93691,x93693))+~P1(f775(f63(x93692),x93693))+P1(f775(x93691,f180(f857(x93692,a844))))+~P1(f775(x93691,f775(f775(f3(f857(x93692,a844)),f482(x93691,x93693,x93692)),f775(f775(f302(x93692),f483(x93691,x93693,x93692)),f180(f857(x93692,a844))))))
% 184.29/184.10 [8585]~P1(f775(f775(f233(a1),f2(a1)),x85853))+P1(f775(f775(f232(a1),f2(a1)),x85851))+~P1(f775(f775(f233(a1),x85852),x85853))+~P1(f775(f775(f232(a1),f2(a1)),f775(f775(f82(a1),f775(f775(f83(a1),x85853),x85851)),x85852)))
% 184.29/184.10 [8605]~P93(x86051)+~P1(f775(f63(x86051),x86052))+E(f775(f775(f3(f857(x86051,a844)),x86052),f775(f775(f302(x86051),x86053),f180(f857(x86051,a844)))),f180(f857(x86051,a844)))+E(f775(f775(f103(x86051),x86053),f15(x86051,f775(f775(f3(f857(x86051,a844)),x86052),f775(f775(f302(x86051),x86053),f180(f857(x86051,a844)))))),f15(x86051,f775(f775(f302(x86051),x86053),x86052)))
% 184.29/184.10 [8606]~P100(x86061)+~P1(f775(f63(x86061),x86062))+E(f775(f775(f3(f857(x86061,a844)),x86062),f775(f775(f302(x86061),x86063),f180(f857(x86061,a844)))),f180(f857(x86061,a844)))+E(f775(f775(f179(x86061),x86063),f16(x86061,f775(f775(f3(f857(x86061,a844)),x86062),f775(f775(f302(x86061),x86063),f180(f857(x86061,a844)))))),f16(x86061,f775(f775(f302(x86061),x86063),x86062)))
% 184.29/184.10 [8607]~P100(x86071)+~P1(f775(f63(x86071),x86072))+E(f775(f775(f3(f857(x86071,a844)),x86072),f775(f775(f302(x86071),x86073),f180(f857(x86071,a844)))),f180(f857(x86071,a844)))+E(f775(f775(f236(x86071),x86073),f17(x86071,f775(f775(f3(f857(x86071,a844)),x86072),f775(f775(f302(x86071),x86073),f180(f857(x86071,a844)))))),f17(x86071,f775(f775(f302(x86071),x86073),x86072)))
% 184.29/184.10 [8608]~P93(x86081)+~P1(f775(f63(x86081),x86082))+E(f775(f775(f3(f857(x86081,a844)),x86082),f775(f775(f302(x86081),x86083),f180(f857(x86081,a844)))),f180(f857(x86081,a844)))+E(f775(f775(f104(x86081),x86083),f12(x86081,f775(f775(f3(f857(x86081,a844)),x86082),f775(f775(f302(x86081),x86083),f180(f857(x86081,a844)))))),f12(x86081,f775(f775(f302(x86081),x86083),x86082)))
% 184.29/184.10 [8670]~P100(x86701)+~P1(f775(f63(x86701),x86702))+E(f775(f775(f3(f857(x86701,a844)),x86702),f775(f775(f302(x86701),x86703),f180(f857(x86701,a844)))),f180(f857(x86701,a844)))+E(f775(f775(f179(x86701),x86703),f13(x86701,f179(x86701),f775(f775(f3(f857(x86701,a844)),x86702),f775(f775(f302(x86701),x86703),f180(f857(x86701,a844)))))),f13(x86701,f179(x86701),f775(f775(f302(x86701),x86703),x86702)))
% 184.29/184.10 [8671]~P100(x86711)+~P1(f775(f63(x86711),x86712))+E(f775(f775(f3(f857(x86711,a844)),x86712),f775(f775(f302(x86711),x86713),f180(f857(x86711,a844)))),f180(f857(x86711,a844)))+E(f775(f775(f236(x86711),x86713),f14(x86711,f236(x86711),f775(f775(f3(f857(x86711,a844)),x86712),f775(f775(f302(x86711),x86713),f180(f857(x86711,a844)))))),f14(x86711,f236(x86711),f775(f775(f302(x86711),x86713),x86712)))
% 184.29/184.10 [9185]E(x91851,x91852)+~E(f775(f132(f851(x91853),f851(x91853),f125(x91853),f115(x91853)),x91851),f775(f132(f851(x91853),f851(x91853),f125(x91853),f115(x91853)),x91852))+~E(f775(f181(f851(f851(x91853))),x91851),f775(f181(f851(f851(x91853))),x91852))+P1(f775(f775(f334(f856(f851(x91853),f851(x91853))),f770(x91851,x91852,x91853)),f775(f158(f856(f851(x91853),f851(x91853))),f775(f775(f167(f851(x91853),f851(x91853)),x91852),x91851))))
% 184.29/184.10 [9186]E(x91861,x91862)+~E(f775(f132(f851(x91863),f851(x91863),f125(x91863),f115(x91863)),x91861),f775(f132(f851(x91863),f851(x91863),f125(x91863),f115(x91863)),x91862))+~E(f775(f181(f851(f851(x91863))),x91861),f775(f181(f851(f851(x91863))),x91862))+P1(f775(f775(f334(f856(f851(x91863),f851(x91863))),f771(x91862,x91861,x91863)),f775(f158(f856(f851(x91863),f851(x91863))),f775(f775(f167(f851(x91863),f851(x91863)),x91861),x91862))))
% 184.29/184.10 [9995]~P72(x99952)+E(x99951,f180(f857(x99952,a844)))+~P1(f775(f63(x99952),x99951))+E(f16(x99952,f775(f256(x99952),f775(f775(f10(f857(x99952,a844),a844,x99952),f89(x99952)),f775(f775(f9(x99952,f857(x99952,a844),f857(x99952,a844)),f775(f775(f10(f857(x99952,f857(a844,a844)),f857(f857(x99952,a844),f857(x99952,a844)),x99952),f20(x99952,a844,a844)),f775(f775(f10(f857(x99952,a844),f857(x99952,f857(a844,a844)),x99952),f775(f10(a844,f857(a844,a844),x99952),a331)),f775(f775(f9(x99952,f857(x99952,x99952),f857(x99952,a844)),f775(f775(f10(f857(x99952,a844),f857(f857(x99952,x99952),f857(x99952,a844)),x99952),f10(x99952,a844,x99952)),a330)),f775(f82(x99952),x99953))))),f775(f775(f9(x99952,f857(x99952,a844),a844),f334(x99952)),x99951))))),f775(f775(f82(x99952),x99953),f16(x99952,x99951)))
% 184.29/184.10 [9996]~P72(x99962)+E(x99961,f180(f857(x99962,a844)))+~P1(f775(f63(x99962),x99961))+E(f17(x99962,f775(f256(x99962),f775(f775(f10(f857(x99962,a844),a844,x99962),f89(x99962)),f775(f775(f9(x99962,f857(x99962,a844),f857(x99962,a844)),f775(f775(f10(f857(x99962,f857(a844,a844)),f857(f857(x99962,a844),f857(x99962,a844)),x99962),f20(x99962,a844,a844)),f775(f775(f10(f857(x99962,a844),f857(x99962,f857(a844,a844)),x99962),f775(f10(a844,f857(a844,a844),x99962),a331)),f775(f775(f9(x99962,f857(x99962,x99962),f857(x99962,a844)),f775(f775(f10(f857(x99962,a844),f857(f857(x99962,x99962),f857(x99962,a844)),x99962),f10(x99962,a844,x99962)),a330)),f775(f82(x99962),x99963))))),f775(f775(f9(x99962,f857(x99962,a844),a844),f334(x99962)),x99961))))),f775(f775(f82(x99962),x99963),f17(x99962,x99961)))
% 184.29/184.10 [9997]~P97(x99972)+E(x99971,f180(f857(x99972,a844)))+~P1(f775(f63(x99972),x99971))+E(f12(x99972,f775(f256(x99972),f775(f775(f10(f857(x99972,a844),a844,x99972),f89(x99972)),f775(f775(f9(x99972,f857(x99972,a844),f857(x99972,a844)),f775(f775(f10(f857(x99972,f857(a844,a844)),f857(f857(x99972,a844),f857(x99972,a844)),x99972),f20(x99972,a844,a844)),f775(f775(f10(f857(x99972,a844),f857(x99972,f857(a844,a844)),x99972),f775(f10(a844,f857(a844,a844),x99972),a331)),f775(f775(f9(x99972,f857(x99972,x99972),f857(x99972,a844)),f775(f775(f10(f857(x99972,a844),f857(f857(x99972,x99972),f857(x99972,a844)),x99972),f10(x99972,a844,x99972)),a330)),f775(f103(x99972),x99973))))),f775(f775(f9(x99972,f857(x99972,a844),a844),f334(x99972)),x99971))))),f775(f775(f103(x99972),x99973),f12(x99972,x99971)))
% 184.29/184.10 [9998]~P97(x99982)+E(x99981,f180(f857(x99982,a844)))+~P1(f775(f63(x99982),x99981))+E(f15(x99982,f775(f256(x99982),f775(f775(f10(f857(x99982,a844),a844,x99982),f89(x99982)),f775(f775(f9(x99982,f857(x99982,a844),f857(x99982,a844)),f775(f775(f10(f857(x99982,f857(a844,a844)),f857(f857(x99982,a844),f857(x99982,a844)),x99982),f20(x99982,a844,a844)),f775(f775(f10(f857(x99982,a844),f857(x99982,f857(a844,a844)),x99982),f775(f10(a844,f857(a844,a844),x99982),a331)),f775(f775(f9(x99982,f857(x99982,x99982),f857(x99982,a844)),f775(f775(f10(f857(x99982,a844),f857(f857(x99982,x99982),f857(x99982,a844)),x99982),f10(x99982,a844,x99982)),a330)),f775(f104(x99982),x99983))))),f775(f775(f9(x99982,f857(x99982,a844),a844),f334(x99982)),x99981))))),f775(f775(f104(x99982),x99983),f15(x99982,x99981)))
% 184.29/184.10 [9999]~P100(x99992)+E(x99991,f180(f857(x99992,a844)))+~P1(f775(f63(x99992),x99991))+E(f13(x99992,f179(x99992),f775(f256(x99992),f775(f775(f10(f857(x99992,a844),a844,x99992),f89(x99992)),f775(f775(f9(x99992,f857(x99992,a844),f857(x99992,a844)),f775(f775(f10(f857(x99992,f857(a844,a844)),f857(f857(x99992,a844),f857(x99992,a844)),x99992),f20(x99992,a844,a844)),f775(f775(f10(f857(x99992,a844),f857(x99992,f857(a844,a844)),x99992),f775(f10(a844,f857(a844,a844),x99992),a331)),f775(f775(f9(x99992,f857(x99992,x99992),f857(x99992,a844)),f775(f775(f10(f857(x99992,a844),f857(f857(x99992,x99992),f857(x99992,a844)),x99992),f10(x99992,a844,x99992)),a330)),f775(f236(x99992),x99993))))),f775(f775(f9(x99992,f857(x99992,a844),a844),f334(x99992)),x99991))))),f775(f775(f236(x99992),x99993),f13(x99992,f179(x99992),x99991)))
% 184.29/184.10 [10000]~P100(x100002)+E(x100001,f180(f857(x100002,a844)))+~P1(f775(f63(x100002),x100001))+E(f14(x100002,f236(x100002),f775(f256(x100002),f775(f775(f10(f857(x100002,a844),a844,x100002),f89(x100002)),f775(f775(f9(x100002,f857(x100002,a844),f857(x100002,a844)),f775(f775(f10(f857(x100002,f857(a844,a844)),f857(f857(x100002,a844),f857(x100002,a844)),x100002),f20(x100002,a844,a844)),f775(f775(f10(f857(x100002,a844),f857(x100002,f857(a844,a844)),x100002),f775(f10(a844,f857(a844,a844),x100002),a331)),f775(f775(f9(x100002,f857(x100002,x100002),f857(x100002,a844)),f775(f775(f10(f857(x100002,a844),f857(f857(x100002,x100002),f857(x100002,a844)),x100002),f10(x100002,a844,x100002)),a330)),f775(f179(x100002),x100003))))),f775(f775(f9(x100002,f857(x100002,a844),a844),f334(x100002)),x100001))))),f775(f775(f179(x100002),x100003),f14(x100002,f236(x100002),x100001)))
% 184.29/184.10 [9729]~P110(x97291)+~E(x97293,f2(x97291))+~E(x97292,f2(x97291))+E(f775(f775(f82(x97291),f775(f775(f242(x97291),x97292),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x97291),x97293),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f2(x97291))
% 184.29/184.10 [9889]~P117(x98891)+~P1(f775(f775(f232(x98891),f2(x98891)),x98893))+P1(f775(f775(f232(x98891),x98892),x98893))+~P1(f775(f775(f232(x98891),f775(f775(f242(x98891),x98892),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x98891),x98893),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))))
% 184.29/184.10 [9935]~P110(x99352)+~E(x99351,f2(x99352))+~E(x99353,f2(x99352))+~P1(f775(f775(f233(x99352),f2(x99352)),f775(f775(f82(x99352),f775(f775(f242(x99352),x99353),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99))))),f775(f775(f242(x99352),x99351),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))))
% 184.29/184.10 [9159]E(x91591,x91592)+~E(f751(x91591,x91592,x91594,x91593),f753(x91591,x91592,x91594,x91593))+P1(f775(f775(f334(f856(f851(x91593),f851(x91593))),f775(f775(f241(f851(x91593),f851(x91593)),x91592),x91591)),f137(x91593,x91594)))+P1(f775(f775(f334(f856(f851(x91593),f851(x91593))),f775(f775(f241(f851(x91593),f851(x91593)),x91591),x91592)),f137(x91593,x91594)))
% 184.29/184.10 [4746]~P60(x47462)+~E(x47464,f2(x47462))+~E(x47461,f2(x47462))+E(x47461,f775(f775(f283(x47462),x47463),x47464))
% 184.29/184.10 [4747]~P60(x47471)+~E(x47473,f2(x47471))+~E(x47474,f2(x47471))+E(f775(f775(f283(x47471),x47472),x47473),x47474)
% 184.29/184.10 [4854]~P60(x48542)+E(x48541,f2(x48542))+~E(x48543,f2(x48542))+~E(x48541,f775(f775(f283(x48542),x48544),x48543))
% 184.29/184.10 [4855]~P60(x48552)+E(x48551,f2(x48552))+~E(x48553,f2(x48552))+~E(f775(f775(f283(x48552),x48554),x48553),x48551)
% 184.29/184.10 [5034]~P113(x50342)+E(x50341,f2(x50342))+~E(f775(f775(f283(x50342),x50343),x50341),x50344)+E(x50343,f775(f775(f83(x50342),x50344),x50341))
% 184.29/184.10 [5036]~P113(x50362)+E(x50361,f2(x50362))+~E(f775(f775(f83(x50362),x50363),x50361),x50364)+E(x50363,f775(f775(f283(x50362),x50364),x50361))
% 184.29/184.10 [5037]~P60(x50372)+E(x50371,f2(x50372))+~E(f775(f775(f283(x50372),x50373),x50371),x50374)+E(x50373,f775(f775(f83(x50372),x50374),x50371))
% 184.29/184.10 [5038]~P60(x50382)+E(x50381,f2(x50382))+~E(f775(f775(f83(x50382),x50383),x50381),x50384)+E(x50383,f775(f775(f283(x50382),x50384),x50381))
% 184.29/184.10 [5039]~P113(x50392)+E(x50391,f2(x50392))+~E(x50393,f775(f775(f283(x50392),x50394),x50391))+E(f775(f775(f83(x50392),x50393),x50391),x50394)
% 184.29/184.10 [5041]~P113(x50412)+E(x50411,f2(x50412))+~E(x50413,f775(f775(f83(x50412),x50414),x50411))+E(f775(f775(f283(x50412),x50413),x50411),x50414)
% 184.29/184.10 [5042]~P60(x50422)+E(x50421,f2(x50422))+~E(x50423,f775(f775(f283(x50422),x50424),x50421))+E(f775(f775(f83(x50422),x50423),x50421),x50424)
% 184.29/184.10 [5043]~P60(x50432)+E(x50431,f2(x50432))+~E(x50433,f775(f775(f83(x50432),x50434),x50431))+E(f775(f775(f283(x50432),x50433),x50431),x50434)
% 184.29/184.10 [5076]~P60(x50762)+~E(x50761,f2(x50762))+~E(f775(f775(f83(x50762),x50761),x50764),x50763)+E(x50761,f775(f775(f283(x50762),x50763),x50764))
% 184.29/184.10 [5077]~P60(x50771)+~E(x50774,f2(x50771))+~E(x50772,f775(f775(f83(x50771),x50774),x50773))+E(f775(f775(f283(x50771),x50772),x50773),x50774)
% 184.29/184.10 [5144]~E(x51443,x51444)+~E(x51442,x51443)+~P99(x51441)+E(f295(x51441,x51442,x51443),f775(f775(f302(x51441),x51444),f180(f857(x51441,a844))))
% 184.29/184.10 [5339]~E(f134(x53392,x53391),x53394)+~E(f116(x53392,x53391),x53393)+E(x53391,f115(x53392))+E(f775(f775(f125(x53392),x53393),f775(f775(f140(x53392),x53394),f115(x53392))),x53391)
% 184.29/184.10 [5957]~P117(x59573)+E(x59571,x59572)+~E(f775(f775(f242(x59573),x59574),x59571),f775(f775(f242(x59573),x59574),x59572))+~P1(f775(f775(f233(x59573),f80(x59573)),x59574))
% 184.29/184.10 [5958]E(x59581,x59582)+~E(f775(f775(f302(x59583),x59584),x59581),f775(f775(f302(x59583),x59584),x59582))+P1(f775(f775(f334(x59583),x59584),x59582))+P1(f775(f775(f334(x59583),x59584),x59581))
% 184.29/184.10 [5996]E(f775(x59961,x59962),f2(a850))+~E(f775(f775(f8(x59963,a850),x59961),x59964),f2(a850))+~P1(f775(f63(x59963),x59964))+~P1(f775(f775(f334(x59963),x59962),x59964))
% 184.29/184.10 [5997]E(f775(x59971,x59972),f80(a850))+~E(f775(f775(f11(x59973,a850),x59971),x59974),f80(a850))+~P1(f775(f63(x59973),x59974))+~P1(f775(f775(f334(x59973),x59972),x59974))
% 184.29/184.10 [6222]~P99(x62221)+~P1(f775(f775(f233(x62221),x62224),x62223))+P1(f775(f775(f233(x62221),x62222),x62223))+~P1(f775(f775(f233(x62221),x62222),x62224))
% 184.29/184.10 [6223]~P99(x62231)+~P1(f775(f775(f232(x62231),x62234),x62233))+P1(f775(f775(f233(x62231),x62232),x62233))+~P1(f775(f775(f233(x62231),x62232),x62234))
% 184.29/184.10 [6224]~P99(x62241)+~P1(f775(f775(f232(x62241),x62242),x62244))+P1(f775(f775(f233(x62241),x62242),x62243))+~P1(f775(f775(f233(x62241),x62244),x62243))
% 184.29/184.10 [6225]~P103(x62251)+~P1(f775(f775(f233(x62251),x62252),x62254))+P1(f775(f775(f233(x62251),x62252),x62253))+~P1(f775(f775(f233(x62251),x62254),x62253))
% 184.29/184.10 [6226]~P103(x62261)+~P1(f775(f775(f232(x62261),x62262),x62264))+P1(f775(f775(f233(x62261),x62262),x62263))+~P1(f775(f775(f233(x62261),x62264),x62263))
% 184.29/184.10 [6227]~P103(x62271)+~P1(f775(f775(f232(x62271),x62274),x62273))+P1(f775(f775(f233(x62271),x62272),x62273))+~P1(f775(f775(f233(x62271),x62272),x62274))
% 184.29/184.10 [6228]~P99(x62281)+~P1(f775(f775(f232(x62281),x62284),x62283))+P1(f775(f775(f232(x62281),x62282),x62283))+~P1(f775(f775(f232(x62281),x62282),x62284))
% 184.29/184.10 [6229]~P103(x62291)+~P1(f775(f775(f232(x62291),x62292),x62294))+P1(f775(f775(f232(x62291),x62292),x62293))+~P1(f775(f775(f232(x62291),x62294),x62293))
% 184.29/184.10 [6230]~P85(x62301)+~P1(f775(f775(f279(x62301),x62302),x62304))+P1(f775(f775(f279(x62301),x62302),x62303))+~P1(f775(f775(f279(x62301),x62304),x62303))
% 184.29/184.10 [6475]~P9(x64751)+~P1(f775(f775(f232(x64751),x64752),f45(x64751,x64754)))+P1(f775(f775(f232(x64751),x64752),x64753))+~P1(f775(f775(f334(x64751),x64753),x64754))
% 184.29/184.10 [6627]~P100(x66271)+~P18(x66271,f775(f775(f140(x66271),x66272),x66274))+~P1(f775(f775(f334(x66271),x66273),f775(f158(x66271),x66274)))+P1(f775(f775(f232(x66271),x66272),x66273))
% 184.29/184.10 [6721]~P9(x67211)+~P1(f775(f775(f232(x67211),f44(x67211,x67214)),x67213))+P1(f775(f775(f232(x67211),x67212),x67213))+~P1(f775(f775(f334(x67211),x67212),x67214))
% 184.29/184.10 [6874]~P7(x68741)+P1(f775(f775(f279(x68741),x68742),f52(x68741,x68743,x68744)))+~P1(f775(f775(f279(x68741),x68742),x68744))+~P1(f775(f775(f279(x68741),x68742),x68743))
% 184.29/184.10 [7137]~P100(x71371)+E(f775(f775(f103(f857(x71371,a844)),f775(f294(x71371,x71372),x71373)),f775(f294(x71371,x71373),x71374)),f775(f294(x71371,x71372),x71374))+~P1(f775(f775(f232(x71371),x71373),x71374))+~P1(f775(f775(f232(x71371),x71372),x71373))
% 184.29/184.10 [7224]~P7(x72241)+~P1(f775(f775(f279(x72241),x72242),f52(x72241,x72243,x72244)))+P1(f775(f775(f279(x72241),x72242),x72243))+~P1(f775(f775(f279(x72241),x72242),x72244))
% 184.29/184.10 [7265]~P100(x72651)+E(f775(f775(f103(f857(x72651,a844)),f775(f294(x72651,x72652),x72653)),f295(x72651,x72653,x72654)),f295(x72651,x72652,x72654))+~P1(f775(f775(f232(x72651),x72653),x72654))+~P1(f775(f775(f232(x72651),x72652),x72653))
% 184.29/184.10 [7279]~P99(x72791)+~P50(a850,x72791,f279(a850),x72792)+P1(f775(f775(f232(x72791),f775(x72792,x72793)),f775(x72792,x72794)))+~P1(f775(f775(f279(a850),x72793),x72794))
% 184.29/184.10 [7333]~P100(x73331)+E(f775(f775(f103(f857(x73331,a844)),f298(x73331,x73332,x73333)),f775(f294(x73331,x73333),x73334)),f298(x73331,x73332,x73334))+~P1(f775(f775(f233(x73331),x73332),x73333))+~P1(f775(f775(f232(x73331),x73333),x73334))
% 184.29/184.10 [7356]~P100(x73561)+E(f775(f775(f103(f857(x73561,a844)),f295(x73561,x73562,x73563)),f298(x73561,x73563,x73564)),f775(f294(x73561,x73562),x73564))+~P1(f775(f775(f233(x73561),x73563),x73564))+~P1(f775(f775(f232(x73561),x73562),x73563))
% 184.29/184.10 [7391]~P100(x73911)+E(f775(f775(f103(f857(x73911,a844)),f295(x73911,x73912,x73913)),f297(x73911,x73913,x73914)),f295(x73911,x73912,x73914))+~P1(f775(f775(f232(x73911),x73913),x73914))+~P1(f775(f775(f232(x73911),x73912),x73913))
% 184.29/184.10 [7392]~P100(x73921)+E(f775(f775(f103(f857(x73921,a844)),f297(x73921,x73922,x73923)),f297(x73921,x73923,x73924)),f297(x73921,x73922,x73924))+~P1(f775(f775(f232(x73921),x73923),x73924))+~P1(f775(f775(f232(x73921),x73922),x73923))
% 184.29/184.10 [7393]~P100(x73931)+E(f775(f775(f103(f857(x73931,a844)),f297(x73931,x73932,x73933)),f298(x73931,x73933,x73934)),f298(x73931,x73932,x73934))+~P1(f775(f775(f233(x73931),x73933),x73934))+~P1(f775(f775(f232(x73931),x73932),x73933))
% 184.29/184.10 [7394]~P100(x73941)+E(f775(f775(f103(f857(x73941,a844)),f298(x73941,x73942,x73943)),f295(x73941,x73943,x73944)),f297(x73941,x73942,x73944))+~P1(f775(f775(f233(x73941),x73942),x73943))+~P1(f775(f775(f232(x73941),x73943),x73944))
% 184.29/184.10 [8184]P29(x81841,x81842,f527(x81843,x81842,x81844,x81841),x81844)+~P1(f775(f63(x81842),x81843))+~P1(f775(f63(x81841),x81844))+~P1(f775(f775(f232(a850),f775(f42(x81841),x81844)),f775(f42(x81842),x81843)))
% 184.29/184.10 [8254]~P70(x82541)+~E(f775(x82543,f622(x82543,x82544,x82542,x82541)),f80(x82541))+E(f775(f775(f775(f67(x82541,x82542,f83(x82541)),x82543),f80(x82541)),x82544),f80(x82541))+~P1(f775(f63(x82542),x82544))
% 184.29/184.10 [8528]~P117(x85281)+~P1(f775(f775(f232(x85281),f2(x85281)),x85283))+P1(f775(f775(f232(x85281),x85282),x85283))+~P1(f775(f775(f232(x85281),f775(f775(f242(x85281),x85282),f775(a114,x85284))),f775(f775(f242(x85281),x85283),f775(a114,x85284))))
% 184.29/184.10 [8858]~P70(x88581)+E(f775(f775(f775(f67(x88581,x88582,f83(x88581)),x88583),f80(x88581)),x88584),f80(x88581))+~P1(f775(f63(x88582),x88584))+P1(f775(f775(f334(x88582),f622(x88583,x88584,x88582,x88581)),x88584))
% 184.29/184.10 [9110]~P12(x91102,x91103,x91104)+~P1(f775(f63(x91102),x91103))+~P1(f775(f775(f279(a850),x91101),f775(f42(x91102),f517(x91101,x91104,x91103,x91102))))+P1(f775(f775(f279(a850),x91101),f775(f42(x91102),x91103)))
% 184.29/184.10 [9308]~P1(f775(f775(f279(a850),x93081),x93083))+~P1(f775(f775(f279(a850),x93081),x93082))+~P1(f775(f775(f279(a850),x93084),x93083))+~P1(f775(f775(f233(f857(a850,a844)),f282(a850,f279(a850),x93081,x93083)),f282(a850,f279(a850),x93082,x93084)))
% 184.29/184.10 [9314]~P1(f775(f775(f232(a1),x93144),f2(a1)))+P1(f775(f775(f232(a1),f775(f775(f82(a1),f775(f775(f83(a1),x93141),f52(a1,x93142,x93143))),x93144)),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x93143))+~P1(f775(f775(f233(a1),x93141),x93144))
% 184.29/184.10 [9720]~P1(f775(f63(x97201),x97202))+~P1(f775(f775(f334(x97201),x97204),x97202))+~P1(f775(f775(f334(x97201),x97203),x97202))+P1(f775(f775(f233(a850),f775(f42(x97201),f775(f775(f3(f857(x97201,a844)),f775(f775(f3(f857(x97201,a844)),x97202),f775(f775(f302(x97201),x97203),f180(f857(x97201,a844))))),f775(f775(f302(x97201),x97204),f180(f857(x97201,a844)))))),f775(f42(x97201),x97202)))
% 184.29/184.10 [6784]~P136(x67843)+~P112(x67843)+P1(f775(x67841,f838(x67842,x67841,x67843)))+~P1(f775(x67841,f775(f775(f83(x67843),x67842),x67844)))
% 184.29/184.10 [6844]~P100(x68441)+~P1(f775(f775(f233(x68441),x68442),x68444))+~P1(f775(f775(f233(x68441),x68442),x68443))+P1(f775(f775(f233(x68441),x68442),f775(f775(f236(x68441),x68443),x68444)))
% 184.29/184.10 [6847]~P100(x68471)+~P1(f775(f775(f232(x68471),x68472),x68474))+~P1(f775(f775(f232(x68471),x68472),x68473))+P1(f775(f775(f232(x68471),x68472),f775(f775(f236(x68471),x68473),x68474)))
% 184.29/184.10 [6850]~P98(x68501)+~P1(f775(f775(f232(x68501),x68502),x68504))+~P1(f775(f775(f232(x68501),x68502),x68503))+P1(f775(f775(f232(x68501),x68502),f775(f775(f104(x68501),x68503),x68504)))
% 184.29/184.10 [6851]~P85(x68511)+~P1(f775(f775(f279(x68511),x68512),x68514))+~P1(f775(f775(f279(x68511),x68512),x68513))+P1(f775(f775(f279(x68511),x68512),f775(f775(f82(x68511),x68513),x68514)))
% 184.29/184.10 [6852]~P104(x68521)+~P1(f775(f775(f279(x68521),x68522),x68524))+~P1(f775(f775(f279(x68521),x68522),x68523))+P1(f775(f775(f279(x68521),x68522),f775(f775(f3(x68521),x68523),x68524)))
% 184.29/184.10 [6872]~P61(x68722)+E(x68721,f2(x68722))+E(f775(f775(f283(x68722),f775(f775(f242(x68722),x68721),x68723)),f775(f775(f242(x68722),x68721),x68724)),f775(f775(f242(x68722),x68721),f775(f775(f3(a850),x68723),x68724)))+~P1(f775(f775(f232(a850),x68724),x68723))
% 184.29/184.10 [6917]~P100(x69171)+~P18(x69171,f775(f775(f140(x69171),x69173),x69174))+P18(x69171,f775(f775(f140(x69171),x69172),f775(f775(f140(x69171),x69173),x69174)))+~P1(f775(f775(f232(x69171),x69172),x69173))
% 184.29/184.10 [6958]~P81(x69581)+~P1(f775(f775(f232(x69581),f2(x69581)),x69583))+~P1(f775(f775(f233(x69581),x69582),x69584))+P1(f775(f775(f233(x69581),x69582),f775(f775(f82(x69581),x69583),x69584)))
% 184.29/184.10 [6959]~P81(x69591)+~P1(f775(f775(f232(x69591),x69592),x69594))+~P1(f775(f775(f233(x69591),f2(x69591)),x69593))+P1(f775(f775(f233(x69591),x69592),f775(f775(f82(x69591),x69593),x69594)))
% 184.29/184.10 [6960]~P117(x69601)+~P1(f775(f775(f233(x69601),f2(x69601)),x69603))+~P1(f775(f775(f233(x69601),x69602),x69604))+P1(f775(f775(f233(x69601),x69602),f775(f775(f82(x69601),x69603),x69604)))
% 184.29/184.10 [6961]~P81(x69611)+~P1(f775(f775(f232(x69611),f2(x69611)),x69614))+~P1(f775(f775(f232(x69611),x69612),x69613))+P1(f775(f775(f232(x69611),x69612),f775(f775(f82(x69611),x69613),x69614)))
% 184.29/184.10 [6962]~P81(x69621)+~P1(f775(f775(f232(x69621),f2(x69621)),x69623))+~P1(f775(f775(f232(x69621),x69622),x69624))+P1(f775(f775(f232(x69621),x69622),f775(f775(f82(x69621),x69623),x69624)))
% 184.29/184.10 [6996]~P100(x69961)+P1(f775(f775(f233(x69961),x69962),x69963))+P1(f775(f775(f233(x69961),x69962),x69964))+~P1(f775(f775(f233(x69961),x69962),f775(f775(f179(x69961),x69964),x69963)))
% 184.29/184.10 [6997]~P100(x69971)+P1(f775(f775(f232(x69971),x69972),x69973))+P1(f775(f775(f232(x69971),x69972),x69974))+~P1(f775(f775(f232(x69971),x69972),f775(f775(f179(x69971),x69974),x69973)))
% 184.29/184.10 [7682]~P63(x76821)+~P1(f775(f775(f233(x76821),x76824),f2(x76821)))+~P1(f775(f775(f233(x76821),x76823),f775(f775(f283(x76821),x76822),x76824)))+P1(f775(f775(f233(x76821),x76822),f775(f775(f83(x76821),x76823),x76824)))
% 184.29/184.10 [7683]~P63(x76831)+~P1(f775(f775(f233(x76831),x76834),f2(x76831)))+~P1(f775(f775(f233(x76831),x76833),f775(f775(f83(x76831),x76832),x76834)))+P1(f775(f775(f233(x76831),x76832),f775(f775(f283(x76831),x76833),x76834)))
% 184.29/184.10 [7684]~P63(x76841)+~P1(f775(f775(f233(x76841),x76844),f2(x76841)))+~P1(f775(f775(f232(x76841),x76843),f775(f775(f283(x76841),x76842),x76844)))+P1(f775(f775(f232(x76841),x76842),f775(f775(f83(x76841),x76843),x76844)))
% 184.29/184.10 [7685]~P63(x76851)+~P1(f775(f775(f233(x76851),x76854),f2(x76851)))+~P1(f775(f775(f232(x76851),x76853),f775(f775(f83(x76851),x76852),x76854)))+P1(f775(f775(f232(x76851),x76852),f775(f775(f283(x76851),x76853),x76854)))
% 184.29/184.10 [7798]~P119(x77981)+~P1(f775(f775(f233(x77981),x77983),f2(x77981)))+~P1(f775(f775(f233(x77981),x77984),x77982))+P1(f775(f775(f233(x77981),f775(f775(f83(x77981),x77982),x77983)),f775(f775(f83(x77981),x77984),x77983)))
% 184.29/184.10 [7799]~P119(x77991)+~P1(f775(f775(f233(x77991),x77992),f2(x77991)))+~P1(f775(f775(f233(x77991),x77994),x77993))+P1(f775(f775(f233(x77991),f775(f775(f83(x77991),x77992),x77993)),f775(f775(f83(x77991),x77992),x77994)))
% 184.29/184.10 [7800]~P63(x78001)+~P1(f775(f775(f233(x78001),x78003),f2(x78001)))+~P1(f775(f775(f233(x78001),x78004),x78002))+P1(f775(f775(f233(x78001),f775(f775(f283(x78001),x78002),x78003)),f775(f775(f283(x78001),x78004),x78003)))
% 184.29/184.10 [7801]~P119(x78011)+~P1(f775(f775(f233(x78011),x78012),f2(x78011)))+~P1(f775(f775(f232(x78011),x78014),x78013))+P1(f775(f775(f232(x78011),f775(f775(f83(x78011),x78012),x78013)),f775(f775(f83(x78011),x78012),x78014)))
% 184.29/184.10 [7802]~P129(x78021)+~P1(f775(f775(f232(x78021),x78022),f2(x78021)))+~P1(f775(f775(f232(x78021),x78024),x78023))+P1(f775(f775(f232(x78021),f775(f775(f83(x78021),x78022),x78023)),f775(f775(f83(x78021),x78022),x78024)))
% 184.29/184.10 [7803]~P129(x78031)+~P1(f775(f775(f232(x78031),x78033),f2(x78031)))+~P1(f775(f775(f232(x78031),x78034),x78032))+P1(f775(f775(f232(x78031),f775(f775(f83(x78031),x78032),x78033)),f775(f775(f83(x78031),x78034),x78033)))
% 184.29/184.10 [7804]~P62(x78041)+~P1(f775(f775(f232(x78041),x78043),f2(x78041)))+~P1(f775(f775(f232(x78041),x78044),x78042))+P1(f775(f775(f232(x78041),f775(f775(f283(x78041),x78042),x78043)),f775(f775(f283(x78041),x78044),x78043)))
% 184.29/184.10 [7806]~P117(x78061)+~P1(f775(f775(f233(x78061),f80(x78061)),x78062))+~P1(f775(f775(f233(a850),x78063),x78064))+P1(f775(f775(f233(x78061),f775(f775(f242(x78061),x78062),x78063)),f775(f775(f242(x78061),x78062),x78064)))
% 184.29/184.10 [7807]~P117(x78071)+~P1(f775(f775(f233(x78071),f80(x78071)),x78072))+~P1(f775(f775(f232(a850),x78073),x78074))+P1(f775(f775(f232(x78071),f775(f775(f242(x78071),x78072),x78073)),f775(f775(f242(x78071),x78072),x78074)))
% 184.29/184.10 [7808]~P117(x78081)+~P1(f775(f775(f232(x78081),f80(x78081)),x78082))+~P1(f775(f775(f232(a850),x78083),x78084))+P1(f775(f775(f232(x78081),f775(f775(f242(x78081),x78082),x78083)),f775(f775(f242(x78081),x78082),x78084)))
% 184.29/184.10 [7835]P1(f775(f775(f233(a850),f2(a850)),f775(x78351,x78352)))+~P1(f775(f63(x78353),x78354))+~P1(f775(f775(f334(x78353),x78352),x78354))+~P1(f775(f775(f233(a850),f2(a850)),f775(f775(f11(x78353,a850),x78351),x78354)))
% 184.29/184.10 [7847]~P123(x78471)+~P1(f775(f775(f233(x78471),x78473),x78474))+~P1(f775(f775(f233(x78471),f2(x78471)),x78472))+P1(f775(f775(f233(x78471),f775(f775(f83(x78471),x78472),x78473)),f775(f775(f83(x78471),x78472),x78474)))
% 184.29/184.10 [7848]~P115(x78481)+~P1(f775(f775(f233(x78481),x78483),x78484))+~P1(f775(f775(f233(x78481),f2(x78481)),x78482))+P1(f775(f775(f233(x78481),f775(f775(f83(x78481),x78482),x78483)),f775(f775(f83(x78481),x78482),x78484)))
% 184.29/184.10 [7849]~P119(x78491)+~P1(f775(f775(f233(x78491),x78492),x78494))+~P1(f775(f775(f233(x78491),f2(x78491)),x78493))+P1(f775(f775(f233(x78491),f775(f775(f83(x78491),x78492),x78493)),f775(f775(f83(x78491),x78494),x78493)))
% 184.29/184.10 [7850]~P123(x78501)+~P1(f775(f775(f233(x78501),x78502),x78504))+~P1(f775(f775(f233(x78501),f2(x78501)),x78503))+P1(f775(f775(f233(x78501),f775(f775(f83(x78501),x78502),x78503)),f775(f775(f83(x78501),x78504),x78503)))
% 184.29/184.10 [7851]~P119(x78511)+~P1(f775(f775(f233(x78511),x78513),x78514))+~P1(f775(f775(f233(x78511),f2(x78511)),x78512))+P1(f775(f775(f233(x78511),f775(f775(f83(x78511),x78512),x78513)),f775(f775(f83(x78511),x78512),x78514)))
% 184.29/184.10 [7852]~P63(x78521)+~P1(f775(f775(f233(x78521),x78522),x78524))+~P1(f775(f775(f233(x78521),f2(x78521)),x78523))+P1(f775(f775(f233(x78521),f775(f775(f283(x78521),x78522),x78523)),f775(f775(f283(x78521),x78524),x78523)))
% 184.29/184.10 [7853]~P119(x78531)+~P1(f775(f775(f233(x78531),f2(x78531)),x78532))+~P1(f775(f775(f232(x78531),x78533),x78534))+P1(f775(f775(f232(x78531),f775(f775(f83(x78531),x78532),x78533)),f775(f775(f83(x78531),x78532),x78534)))
% 184.29/184.10 [7854]~P131(x78541)+~P1(f775(f775(f232(x78541),x78543),x78544))+~P1(f775(f775(f232(x78541),f2(x78541)),x78542))+P1(f775(f775(f232(x78541),f775(f775(f83(x78541),x78542),x78543)),f775(f775(f83(x78541),x78542),x78544)))
% 184.29/184.10 [7855]~P130(x78551)+~P1(f775(f775(f232(x78551),x78553),x78554))+~P1(f775(f775(f232(x78551),f2(x78551)),x78552))+P1(f775(f775(f232(x78551),f775(f775(f83(x78551),x78552),x78553)),f775(f775(f83(x78551),x78552),x78554)))
% 184.29/184.10 [7856]~P131(x78561)+~P1(f775(f775(f232(x78561),x78562),x78564))+~P1(f775(f775(f232(x78561),f2(x78561)),x78563))+P1(f775(f775(f232(x78561),f775(f775(f83(x78561),x78562),x78563)),f775(f775(f83(x78561),x78564),x78563)))
% 184.29/184.10 [7857]~P117(x78571)+~P1(f775(f775(f232(x78571),x78572),x78574))+~P1(f775(f775(f232(x78571),f2(x78571)),x78572))+P1(f775(f775(f232(x78571),f775(f775(f242(x78571),x78572),x78573)),f775(f775(f242(x78571),x78574),x78573)))
% 184.29/184.10 [7858]~P62(x78581)+~P1(f775(f775(f232(x78581),x78582),x78584))+~P1(f775(f775(f232(x78581),f2(x78581)),x78583))+P1(f775(f775(f232(x78581),f775(f775(f283(x78581),x78582),x78583)),f775(f775(f283(x78581),x78584),x78583)))
% 184.29/184.10 [7897]~P102(x78972)+P1(f775(f775(f232(f857(x78971,x78972)),x78974),x78973))+~P1(f775(f775(f232(f857(x78971,x78972)),x78973),x78974))+P1(f775(f775(f233(f857(x78971,x78972)),x78973),x78974))
% 184.29/184.10 [7941]P1(f775(f775(f334(x79411),x79412),x79413))+P1(f775(f775(f334(x79411),x79412),x79414))+~P1(f775(f775(f232(f857(x79411,a844)),x79414),x79413))+P1(f775(f775(f233(f857(x79411,a844)),x79414),f775(f775(f302(x79411),x79412),x79413)))
% 184.29/184.10 [8048]~P111(x80482)+E(x80481,f2(x80482))+P1(f775(f775(f279(x80482),x80483),x80484))+~P1(f775(f775(f279(x80482),f775(f775(f83(x80482),x80483),x80481)),f775(f775(f83(x80482),x80484),x80481)))
% 184.29/184.10 [8049]~P111(x80492)+E(x80491,f2(x80492))+P1(f775(f775(f279(x80492),x80493),x80494))+~P1(f775(f775(f279(x80492),f775(f775(f83(x80492),x80491),x80493)),f775(f775(f83(x80492),x80491),x80494)))
% 184.29/184.10 [8093]P1(f775(f775(f334(x80931),x80932),x80933))+P1(f775(f775(f334(x80931),x80932),x80934))+~P1(f775(f775(f233(f857(x80931,a844)),x80934),f775(f775(f302(x80931),x80932),x80933)))+P1(f775(f775(f232(f857(x80931,a844)),x80934),x80933))
% 184.29/184.10 [8162]~P119(x81621)+P1(f775(f775(f233(x81621),x81623),x81622))+P1(f775(f775(f233(x81621),x81622),x81623))+~P1(f775(f775(f233(x81621),f775(f775(f83(x81621),x81624),x81622)),f775(f775(f83(x81621),x81624),x81623)))
% 184.29/184.10 [8163]~P119(x81631)+P1(f775(f775(f233(x81631),x81633),x81632))+P1(f775(f775(f233(x81631),x81632),x81633))+~P1(f775(f775(f233(x81631),f775(f775(f83(x81631),x81632),x81634)),f775(f775(f83(x81631),x81633),x81634)))
% 184.29/184.10 [8174]~P119(x81741)+P1(f775(f775(f233(x81741),x81744),f2(x81741)))+P1(f775(f775(f233(x81741),x81742),x81743))+~P1(f775(f775(f233(x81741),f775(f775(f83(x81741),x81742),x81744)),f775(f775(f83(x81741),x81743),x81744)))
% 184.29/184.10 [8175]~P119(x81751)+P1(f775(f775(f233(x81751),x81754),f2(x81751)))+P1(f775(f775(f233(x81751),x81752),x81753))+~P1(f775(f775(f233(x81751),f775(f775(f83(x81751),x81754),x81752)),f775(f775(f83(x81751),x81754),x81753)))
% 184.29/184.10 [8178]~P119(x81781)+P1(f775(f775(f233(x81781),x81782),x81783))+P1(f775(f775(f233(x81781),f2(x81781)),x81784))+~P1(f775(f775(f233(x81781),f775(f775(f83(x81781),x81784),x81783)),f775(f775(f83(x81781),x81784),x81782)))
% 184.29/184.10 [8179]~P119(x81791)+P1(f775(f775(f233(x81791),x81792),x81793))+P1(f775(f775(f233(x81791),f2(x81791)),x81794))+~P1(f775(f775(f233(x81791),f775(f775(f83(x81791),x81793),x81794)),f775(f775(f83(x81791),x81792),x81794)))
% 184.29/184.10 [8192]~P119(x81921)+P1(f775(f775(f233(x81921),x81922),f2(x81921)))+P1(f775(f775(f233(x81921),f2(x81921)),x81922))+~P1(f775(f775(f233(x81921),f775(f775(f83(x81921),x81923),x81922)),f775(f775(f83(x81921),x81924),x81922)))
% 184.29/184.10 [8193]~P119(x81931)+P1(f775(f775(f233(x81931),x81932),f2(x81931)))+P1(f775(f775(f233(x81931),f2(x81931)),x81932))+~P1(f775(f775(f233(x81931),f775(f775(f83(x81931),x81932),x81933)),f775(f775(f83(x81931),x81932),x81934)))
% 184.29/184.10 [8217]~P119(x82171)+~P1(f775(f775(f233(x82171),x82174),f2(x82171)))+P1(f775(f775(f233(x82171),x82172),x82173))+~P1(f775(f775(f233(x82171),f775(f775(f83(x82171),x82174),x82173)),f775(f775(f83(x82171),x82174),x82172)))
% 184.29/184.10 [8218]~P119(x82181)+~P1(f775(f775(f233(x82181),x82184),f2(x82181)))+P1(f775(f775(f232(x82181),x82182),x82183))+~P1(f775(f775(f232(x82181),f775(f775(f83(x82181),x82184),x82183)),f775(f775(f83(x82181),x82184),x82182)))
% 184.29/184.10 [8230]~P117(x82303)+~P1(f775(f775(f233(x82303),f80(x82303)),x82304))+P1(f775(f775(f233(a850),x82301),x82302))+~P1(f775(f775(f233(x82303),f775(f775(f242(x82303),x82304),x82301)),f775(f775(f242(x82303),x82304),x82302)))
% 184.29/184.10 [8232]~P117(x82323)+~P1(f775(f775(f233(x82323),f80(x82323)),x82324))+P1(f775(f775(f232(a850),x82321),x82322))+~P1(f775(f775(f232(x82323),f775(f775(f242(x82323),x82324),x82321)),f775(f775(f242(x82323),x82324),x82322)))
% 184.29/184.10 [8242]~P119(x82421)+P1(f775(f775(f233(x82421),x82422),x82423))+~P1(f775(f775(f233(x82421),f2(x82421)),x82424))+~P1(f775(f775(f233(x82421),f775(f775(f83(x82421),x82424),x82422)),f775(f775(f83(x82421),x82424),x82423)))
% 184.29/184.10 [8243]~P123(x82431)+P1(f775(f775(f233(x82431),x82432),x82433))+~P1(f775(f775(f232(x82431),f2(x82431)),x82434))+~P1(f775(f775(f233(x82431),f775(f775(f83(x82431),x82434),x82432)),f775(f775(f83(x82431),x82434),x82433)))
% 184.29/184.10 [8244]~P125(x82441)+P1(f775(f775(f233(x82441),x82442),x82443))+~P1(f775(f775(f232(x82441),f2(x82441)),x82444))+~P1(f775(f775(f233(x82441),f775(f775(f83(x82441),x82444),x82442)),f775(f775(f83(x82441),x82444),x82443)))
% 184.29/184.10 [8245]~P117(x82451)+~P1(f775(f775(f232(x82451),f2(x82451)),x82453))+P1(f775(f775(f233(x82451),x82452),x82453))+~P1(f775(f775(f233(x82451),f775(f775(f242(x82451),x82452),x82454)),f775(f775(f242(x82451),x82453),x82454)))
% 184.29/184.10 [8246]~P123(x82461)+P1(f775(f775(f233(x82461),x82462),x82463))+~P1(f775(f775(f232(x82461),f2(x82461)),x82464))+~P1(f775(f775(f233(x82461),f775(f775(f83(x82461),x82462),x82464)),f775(f775(f83(x82461),x82463),x82464)))
% 184.29/184.10 [8247]~P125(x82471)+P1(f775(f775(f233(x82471),x82472),x82473))+~P1(f775(f775(f232(x82471),f2(x82471)),x82474))+~P1(f775(f775(f233(x82471),f775(f775(f83(x82471),x82472),x82474)),f775(f775(f83(x82471),x82473),x82474)))
% 184.29/184.10 [8248]~P119(x82481)+P1(f775(f775(f232(x82481),x82482),x82483))+~P1(f775(f775(f233(x82481),f2(x82481)),x82484))+~P1(f775(f775(f232(x82481),f775(f775(f83(x82481),x82484),x82482)),f775(f775(f83(x82481),x82484),x82483)))
% 184.29/184.10 [8249]~P123(x82491)+P1(f775(f775(f232(x82491),x82492),x82493))+~P1(f775(f775(f233(x82491),f2(x82491)),x82494))+~P1(f775(f775(f232(x82491),f775(f775(f83(x82491),x82494),x82492)),f775(f775(f83(x82491),x82494),x82493)))
% 184.29/184.10 [8250]~P123(x82501)+P1(f775(f775(f232(x82501),x82502),x82503))+~P1(f775(f775(f233(x82501),f2(x82501)),x82504))+~P1(f775(f775(f232(x82501),f775(f775(f83(x82501),x82502),x82504)),f775(f775(f83(x82501),x82503),x82504)))
% 184.29/184.10 [8290]P1(f775(f775(f334(x82901),x82902),x82903))+~P1(f775(f775(f232(f857(x82901,a844)),x82903),x82904))+~P1(f775(f775(f233(f857(x82901,a844)),x82903),x82904))+P1(f775(f775(f233(f857(x82901,a844)),x82903),f775(f775(f302(x82901),x82902),x82904)))
% 184.29/184.10 [8325]~P136(x83251)+~P112(x83251)+P1(f775(f775(f279(x83251),x83252),f775(f775(f82(x83251),f838(x83252,x83253,x83251)),f2(x83251))))+~P1(f775(x83253,f775(f775(f83(x83251),x83252),x83254)))
% 184.29/184.10 [8651]E(f775(f775(f3(a1),f346(x86511,x86512,x86513,x86514)),f347(x86511,x86512,x86513,x86514)),x86514)+~P1(f775(f775(f233(a1),f2(a1)),x86513))+~P1(f775(f775(f232(a1),x86511),x86514))+P1(f775(f775(f232(a1),x86511),f775(f775(f82(a1),x86514),x86513)))
% 184.29/184.10 [8652]E(f775(f775(f3(a1),f354(x86521,x86522,x86523,x86524)),f355(x86521,x86522,x86523,x86524)),x86524)+~P1(f775(f775(f233(a1),f2(a1)),x86523))+~P1(f775(f775(f233(a1),x86521),x86524))+P1(f775(f775(f233(a1),x86521),f775(f775(f82(a1),x86524),x86523)))
% 184.29/184.10 [8778]~E(f775(f775(f153(x87781),x87783),f756(x87784,x87783,x87781,x87782)),f775(f775(f153(x87781),x87784),f756(x87784,x87783,x87781,x87782)))+E(f775(f775(f159(x87781),x87782),x87783),f775(f775(f159(x87781),x87782),x87784))+~P1(f775(f775(f232(a850),x87782),f775(f181(f851(x87781)),x87783)))+~P1(f775(f775(f232(a850),x87782),f775(f181(f851(x87781)),x87784)))
% 184.29/184.10 [8829]~P1(f775(f775(f233(a1),f2(a1)),x88293))+~P1(f775(f775(f232(a1),x88291),x88294))+P1(f775(f775(f334(a1),f346(x88291,x88292,x88293,x88294)),x88292))+P1(f775(f775(f232(a1),x88291),f775(f775(f82(a1),x88294),x88293)))
% 184.29/184.10 [8830]~P1(f775(f775(f233(a1),f2(a1)),x88303))+~P1(f775(f775(f233(a1),x88301),x88304))+P1(f775(f775(f334(a1),f354(x88301,x88302,x88303,x88304)),x88302))+P1(f775(f775(f233(a1),x88301),f775(f775(f82(a1),x88304),x88303)))
% 184.29/184.10 [8867]~P100(x88671)+~P1(f775(f63(x88671),x88673))+~P1(f775(f775(f334(x88671),x88674),x88673))+P1(f775(f775(f232(x88671),f775(f775(f66(x88671,x88671,f236(x88671)),x88672),x88673)),f775(f775(f236(x88671),x88674),x88672)))
% 184.29/184.10 [8868]~P98(x88681)+~P1(f775(f63(x88681),x88683))+~P1(f775(f775(f334(x88681),x88684),x88683))+P1(f775(f775(f232(x88681),f775(f775(f66(x88681,x88681,f104(x88681)),x88682),x88683)),f775(f775(f104(x88681),x88684),x88682)))
% 184.29/184.10 [8877]~P12(x88772,x88773,x88774)+~P1(f775(f63(x88772),x88773))+P1(f775(f775(f279(a850),x88771),f775(f42(x88772),x88773)))+P1(f775(f775(f334(f857(x88772,a844)),f517(x88771,x88774,x88773,x88772)),f775(f775(f61(x88772),x88773),x88774)))
% 184.29/184.10 [8916]E(f775(f775(f159(x89161),x89162),x89163),f775(f775(f159(x89161),x89162),x89164))+P1(f775(f775(f233(a850),f756(x89163,x89164,x89161,x89162)),x89162))+~P1(f775(f775(f232(a850),x89162),f775(f181(f851(x89161)),x89163)))+~P1(f775(f775(f232(a850),x89162),f775(f181(f851(x89161)),x89164)))
% 184.29/184.10 [8921]~P1(f775(f775(f233(a1),f2(a1)),x89213))+~P1(f775(f775(f233(a1),x89211),x89212))+P1(f775(f775(f334(a1),f355(x89211,x89214,x89213,x89212)),f295(a1,f80(a1),x89213)))+P1(f775(f775(f233(a1),x89211),f775(f775(f82(a1),x89212),x89213)))
% 184.29/184.10 [8922]~P1(f775(f775(f233(a1),f2(a1)),x89223))+~P1(f775(f775(f232(a1),x89221),x89222))+P1(f775(f775(f334(a1),f347(x89221,x89224,x89223,x89222)),f295(a1,f80(a1),x89223)))+P1(f775(f775(f232(a1),x89221),f775(f775(f82(a1),x89222),x89223)))
% 184.29/184.10 [9085]~E(f166(x90851,x90852,x90853),f166(x90851,x90852,x90854))+E(f775(f158(f856(x90851,x90852)),x90853),f775(f158(f856(x90851,x90852)),x90854))+~P1(f775(f127(x90851),f775(f775(f143(f856(x90851,x90852),x90851),f240(x90851,x90852)),x90854)))+~P1(f775(f127(x90851),f775(f775(f143(f856(x90851,x90852),x90851),f240(x90851,x90852)),x90853)))
% 184.29/184.10 [9088]E(f166(x90881,x90882,x90883),f166(x90881,x90882,x90884))+~E(f775(f158(f856(x90881,x90882)),x90883),f775(f158(f856(x90881,x90882)),x90884))+~P1(f775(f127(x90881),f775(f775(f143(f856(x90881,x90882),x90881),f240(x90881,x90882)),x90884)))+~P1(f775(f127(x90881),f775(f775(f143(f856(x90881,x90882),x90881),f240(x90881,x90882)),x90883)))
% 184.29/184.10 [9205]~P100(x92051)+~P1(f775(f63(x92051),x92054))+P1(f775(f775(f334(x92051),f689(x92052,x92053,x92054,x92051)),x92054))+P1(f775(f775(f232(x92051),f775(f775(f66(x92051,x92051,f179(x92051)),x92052),x92054)),f775(f775(f179(x92051),x92053),x92052)))
% 184.29/184.10 [9206]~P92(x92061)+~P1(f775(f63(x92061),x92064))+P1(f775(f775(f334(x92061),f693(x92062,x92063,x92064,x92061)),x92064))+P1(f775(f775(f232(x92061),f775(f775(f66(x92061,x92061,f103(x92061)),x92062),x92064)),f775(f775(f103(x92061),x92063),x92062)))
% 184.29/184.10 [9332]~P100(x93321)+~P1(f775(f63(x93321),x93323))+~P1(f775(f775(f232(x93321),f689(x93322,x93324,x93323,x93321)),x93324))+P1(f775(f775(f232(x93321),f775(f775(f66(x93321,x93321,f179(x93321)),x93322),x93323)),f775(f775(f179(x93321),x93324),x93322)))
% 184.29/184.10 [9333]~P92(x93331)+~P1(f775(f63(x93331),x93333))+~P1(f775(f775(f232(x93331),f693(x93332,x93334,x93333,x93331)),x93334))+P1(f775(f775(f232(x93331),f775(f775(f66(x93331,x93331,f103(x93331)),x93332),x93333)),f775(f775(f103(x93331),x93334),x93332)))
% 184.29/184.10 [9335]~P1(f775(f775(f233(a1),f2(a1)),x93353))+~P1(f775(f775(f232(a1),f2(a1)),x93354))+~P1(f775(f775(f233(a1),x93354),x93351))+P1(f775(f775(f233(a1),f775(f775(f82(a1),f775(f775(f83(a1),x93351),f52(a1,x93352,x93353))),x93354)),f775(f775(f83(a1),x93351),x93353)))
% 184.29/184.10 [9595]~P99(x95951)+P1(f775(f775(f233(x95951),f775(x95952,x95953)),f775(x95952,x95954)))+~P1(f775(f775(f233(a850),x95953),x95954))+~P1(f775(f775(f233(x95951),f775(x95952,f649(x95954,x95953,x95952,x95951))),f775(x95952,f775(a114,f649(x95954,x95953,x95952,x95951)))))
% 184.29/184.10 [9596]~P99(x95961)+P1(f775(f775(f233(x95961),f775(x95962,x95963)),f775(x95962,x95964)))+~P1(f775(f775(f233(a850),x95963),x95964))+~P1(f775(f775(f233(x95961),f775(x95962,f662(x95964,x95963,x95962,x95961))),f775(x95962,f775(a114,f662(x95964,x95963,x95962,x95961)))))
% 184.29/184.10 [9597]~P99(x95973)+~P1(f775(f775(f233(x95973),f775(x95974,x95971)),f775(x95974,x95972)))+P1(f775(f775(f233(a850),x95971),x95972))+~P1(f775(f775(f233(x95973),f775(x95974,f649(x95972,x95971,x95974,x95973))),f775(x95974,f775(a114,f649(x95972,x95971,x95974,x95973)))))
% 184.29/184.10 [9690]E(x96901,x96902)+P1(f775(f775(f334(f856(f851(x96903),f851(x96903))),f775(f775(f241(f851(x96903),f851(x96903)),x96902),x96901)),f137(x96903,x96904)))+P1(f775(f775(f334(f856(f851(x96903),f851(x96903))),f775(f775(f241(f851(x96903),f851(x96903)),x96901),x96902)),f137(x96903,x96904)))+~P1(f775(f775(f334(f856(x96903,x96903)),f775(f775(f241(x96903,x96903),f751(x96901,x96902,x96904,x96903)),f753(x96901,x96902,x96904,x96903))),x96904))
% 184.29/184.10 [9691]E(x96911,x96912)+P1(f775(f775(f334(f856(f851(x96913),f851(x96913))),f775(f775(f241(f851(x96913),f851(x96913)),x96912),x96911)),f137(x96913,x96914)))+P1(f775(f775(f334(f856(f851(x96913),f851(x96913))),f775(f775(f241(f851(x96913),f851(x96913)),x96911),x96912)),f137(x96913,x96914)))+~P1(f775(f775(f334(f856(x96913,x96913)),f775(f775(f241(x96913,x96913),f753(x96911,x96912,x96914,x96913)),f751(x96911,x96912,x96914,x96913))),x96914))
% 184.29/184.10 [7380]~P100(x73801)+~P1(f775(f775(f233(x73801),x73803),x73804))+~P1(f775(f775(f233(x73801),x73802),x73804))+P1(f775(f775(f233(x73801),f775(f775(f179(x73801),x73802),x73803)),x73804))
% 184.29/184.10 [7383]~P100(x73831)+~P1(f775(f775(f232(x73831),x73833),x73834))+~P1(f775(f775(f232(x73831),x73832),x73834))+P1(f775(f775(f232(x73831),f775(f775(f179(x73831),x73832),x73833)),x73834))
% 184.29/184.10 [7386]~P92(x73861)+~P1(f775(f775(f232(x73861),x73863),x73864))+~P1(f775(f775(f232(x73861),x73862),x73864))+P1(f775(f775(f232(x73861),f775(f775(f103(x73861),x73862),x73863)),x73864))
% 184.29/184.10 [7627]~P7(x76271)+E(f775(f775(f82(x76271),f775(f775(f43(x76271),x76272),x76273)),f775(f775(f43(x76271),x76274),x76273)),f775(f775(f43(x76271),f775(f775(f82(x76271),x76272),x76274)),x76273))+~P1(f775(f775(f279(x76271),x76273),x76274))+~P1(f775(f775(f279(x76271),x76273),x76272))
% 184.29/184.10 [7705]~E(x77051,x77053)+E(f130(a850,f775(f294(a850,x77051),x77052)),f775(f775(f140(a850),x77053),x77054))+~E(f130(a850,f775(f294(a850,f775(f775(f82(a850),x77051),f80(a850))),x77052)),x77054)+~P1(f775(f775(f233(a850),x77051),x77052))
% 184.29/184.10 [7716]~P100(x77161)+P1(f775(f775(f233(x77161),x77162),x77163))+P1(f775(f775(f233(x77161),x77164),x77163))+~P1(f775(f775(f233(x77161),f775(f775(f236(x77161),x77164),x77162)),x77163))
% 184.29/184.10 [7717]~P100(x77171)+P1(f775(f775(f232(x77171),x77172),x77173))+P1(f775(f775(f232(x77171),x77174),x77173))+~P1(f775(f775(f232(x77171),f775(f775(f236(x77171),x77174),x77172)),x77173))
% 184.29/184.10 [7998]~P62(x79981)+~P1(f775(f775(f233(x79981),f2(x79981)),x79983))+~P1(f775(f775(f233(x79981),x79982),f775(f775(f283(x79981),x79984),x79983)))+P1(f775(f775(f233(x79981),f775(f775(f83(x79981),x79982),x79983)),x79984))
% 184.29/184.10 [7999]~P63(x79991)+~P1(f775(f775(f233(x79991),f2(x79991)),x79993))+~P1(f775(f775(f233(x79991),x79992),f775(f775(f283(x79991),x79994),x79993)))+P1(f775(f775(f233(x79991),f775(f775(f83(x79991),x79992),x79993)),x79994))
% 184.29/184.10 [8000]~P62(x80001)+~P1(f775(f775(f233(x80001),f2(x80001)),x80003))+~P1(f775(f775(f233(x80001),x80002),f775(f775(f83(x80001),x80004),x80003)))+P1(f775(f775(f233(x80001),f775(f775(f283(x80001),x80002),x80003)),x80004))
% 184.29/184.10 [8002]~P63(x80021)+~P1(f775(f775(f233(x80021),f2(x80021)),x80023))+~P1(f775(f775(f233(x80021),x80022),f775(f775(f83(x80021),x80024),x80023)))+P1(f775(f775(f233(x80021),f775(f775(f283(x80021),x80022),x80023)),x80024))
% 184.29/184.10 [8003]~P62(x80031)+~P1(f775(f775(f233(x80031),f2(x80031)),x80033))+~P1(f775(f775(f232(x80031),x80032),f775(f775(f283(x80031),x80034),x80033)))+P1(f775(f775(f232(x80031),f775(f775(f83(x80031),x80032),x80033)),x80034))
% 184.29/184.10 [8004]~P63(x80041)+~P1(f775(f775(f233(x80041),f2(x80041)),x80043))+~P1(f775(f775(f232(x80041),x80042),f775(f775(f283(x80041),x80044),x80043)))+P1(f775(f775(f232(x80041),f775(f775(f83(x80041),x80042),x80043)),x80044))
% 184.29/184.10 [8005]~P62(x80051)+~P1(f775(f775(f233(x80051),f2(x80051)),x80053))+~P1(f775(f775(f232(x80051),x80052),f775(f775(f83(x80051),x80054),x80053)))+P1(f775(f775(f232(x80051),f775(f775(f283(x80051),x80052),x80053)),x80054))
% 184.29/184.10 [8007]~P63(x80071)+~P1(f775(f775(f233(x80071),f2(x80071)),x80073))+~P1(f775(f775(f232(x80071),x80072),f775(f775(f83(x80071),x80074),x80073)))+P1(f775(f775(f232(x80071),f775(f775(f283(x80071),x80072),x80073)),x80074))
% 184.29/184.10 [8131]~P62(x81311)+~P1(f775(f775(f233(x81311),f2(x81311)),x81314))+P1(f775(f775(f233(x81311),x81312),f775(f775(f83(x81311),x81313),x81314)))+~P1(f775(f775(f233(x81311),f775(f775(f283(x81311),x81312),x81314)),x81313))
% 184.29/184.10 [8132]~P62(x81321)+~P1(f775(f775(f233(x81321),f2(x81321)),x81324))+P1(f775(f775(f233(x81321),x81322),f775(f775(f283(x81321),x81323),x81324)))+~P1(f775(f775(f233(x81321),f775(f775(f83(x81321),x81322),x81324)),x81323))
% 184.29/184.10 [8134]~P63(x81341)+~P1(f775(f775(f233(x81341),f2(x81341)),x81344))+P1(f775(f775(f233(x81341),x81342),f775(f775(f83(x81341),x81343),x81344)))+~P1(f775(f775(f233(x81341),f775(f775(f283(x81341),x81342),x81344)),x81343))
% 184.29/184.10 [8135]~P63(x81351)+~P1(f775(f775(f233(x81351),f2(x81351)),x81354))+P1(f775(f775(f233(x81351),x81352),f775(f775(f283(x81351),x81353),x81354)))+~P1(f775(f775(f233(x81351),f775(f775(f83(x81351),x81352),x81354)),x81353))
% 184.29/184.10 [8136]~P62(x81361)+~P1(f775(f775(f233(x81361),f2(x81361)),x81364))+P1(f775(f775(f232(x81361),x81362),f775(f775(f83(x81361),x81363),x81364)))+~P1(f775(f775(f232(x81361),f775(f775(f283(x81361),x81362),x81364)),x81363))
% 184.29/184.10 [8137]~P62(x81371)+~P1(f775(f775(f233(x81371),f2(x81371)),x81374))+P1(f775(f775(f232(x81371),x81372),f775(f775(f283(x81371),x81373),x81374)))+~P1(f775(f775(f232(x81371),f775(f775(f83(x81371),x81372),x81374)),x81373))
% 184.29/184.10 [8139]~P63(x81391)+~P1(f775(f775(f233(x81391),f2(x81391)),x81394))+P1(f775(f775(f232(x81391),x81392),f775(f775(f83(x81391),x81393),x81394)))+~P1(f775(f775(f232(x81391),f775(f775(f283(x81391),x81392),x81394)),x81393))
% 184.29/184.10 [8140]~P63(x81401)+~P1(f775(f775(f233(x81401),f2(x81401)),x81404))+P1(f775(f775(f232(x81401),x81402),f775(f775(f283(x81401),x81403),x81404)))+~P1(f775(f775(f232(x81401),f775(f775(f83(x81401),x81402),x81404)),x81403))
% 184.29/184.10 [8295]~P63(x82951)+~P1(f775(f775(f233(x82951),x82953),f2(x82951)))+~P1(f775(f775(f233(x82951),f775(f775(f283(x82951),x82954),x82953)),x82952))+P1(f775(f775(f233(x82951),f775(f775(f83(x82951),x82952),x82953)),x82954))
% 184.29/184.10 [8296]~P63(x82961)+~P1(f775(f775(f233(x82961),x82963),f2(x82961)))+~P1(f775(f775(f233(x82961),f775(f775(f83(x82961),x82964),x82963)),x82962))+P1(f775(f775(f233(x82961),f775(f775(f283(x82961),x82962),x82963)),x82964))
% 184.29/184.10 [8297]~P63(x82971)+~P1(f775(f775(f233(x82971),x82973),f2(x82971)))+~P1(f775(f775(f232(x82971),f775(f775(f283(x82971),x82974),x82973)),x82972))+P1(f775(f775(f232(x82971),f775(f775(f83(x82971),x82972),x82973)),x82974))
% 184.29/184.10 [8298]~P63(x82981)+~P1(f775(f775(f233(x82981),x82983),f2(x82981)))+~P1(f775(f775(f232(x82981),f775(f775(f83(x82981),x82984),x82983)),x82982))+P1(f775(f775(f232(x82981),f775(f775(f283(x82981),x82982),x82983)),x82984))
% 184.29/184.10 [8311]~P1(f775(x83111,x83114))+~P1(f775(f775(f233(a850),x83112),f775(f775(f83(a850),x83113),f775(a114,x83114))))+P1(f775(x83111,f775(f775(f43(a850),x83112),x83113)))+~P1(f775(f775(f232(a850),f775(f775(f83(a850),x83113),x83114)),x83112))
% 184.29/184.10 [8526]~P100(x85261)+~P1(f775(f63(x85261),x85264))+~P1(f775(f775(f334(x85261),x85262),x85264))+P1(f775(f775(f232(x85261),f775(f775(f179(x85261),x85262),x85263)),f775(f775(f66(x85261,x85261,f179(x85261)),x85263),x85264)))
% 184.29/184.10 [8527]~P92(x85271)+~P1(f775(f63(x85271),x85274))+~P1(f775(f775(f334(x85271),x85272),x85274))+P1(f775(f775(f232(x85271),f775(f775(f103(x85271),x85272),x85273)),f775(f775(f66(x85271,x85271,f103(x85271)),x85273),x85274)))
% 184.29/184.10 [8653]~P1(f775(f63(x86531),x86532))+E(f775(f42(x86531),f775(f775(f3(f857(x86531,a844)),x86532),f775(f775(f302(x86531),x86533),x86534))),f775(f775(f3(a850),f775(f42(x86531),f775(f775(f3(f857(x86531,a844)),x86532),x86534))),f80(a850)))+P1(f775(f775(f334(x86531),x86533),x86534))+~P1(f775(f775(f334(x86531),x86533),x86532))
% 184.29/184.10 [8717]E(f775(f775(f82(a1),f348(x87171,x87172,x87173,x87174)),f349(x87171,x87172,x87173,x87174)),x87174)+~P1(f775(f775(f233(a1),f2(a1)),x87173))+~P1(f775(f775(f232(a1),x87174),x87171))+P1(f775(f775(f232(a1),f775(f775(f3(a1),x87174),x87173)),x87171))
% 184.29/184.10 [8718]E(f775(f775(f82(a1),f357(x87181,x87182,x87183,x87184)),f358(x87181,x87182,x87183,x87184)),x87184)+~P1(f775(f775(f233(a1),f2(a1)),x87183))+~P1(f775(f775(f233(a1),x87184),x87181))+P1(f775(f775(f233(a1),f775(f775(f3(a1),x87184),x87183)),x87181))
% 184.29/184.10 [8901]~P1(f775(f775(f233(a1),f2(a1)),x89013))+~P1(f775(f775(f232(a1),x89014),x89011))+P1(f775(f775(f334(a1),f348(x89011,x89012,x89013,x89014)),x89012))+P1(f775(f775(f232(a1),f775(f775(f3(a1),x89014),x89013)),x89011))
% 184.29/184.10 [8902]~P1(f775(f775(f233(a1),f2(a1)),x89023))+~P1(f775(f775(f233(a1),x89024),x89021))+P1(f775(f775(f334(a1),f357(x89021,x89022,x89023,x89024)),x89022))+P1(f775(f775(f233(a1),f775(f775(f3(a1),x89024),x89023)),x89021))
% 184.29/184.10 [8981]~P1(f775(f775(f233(a1),f2(a1)),x89812))+~P1(f775(f775(f233(a1),x89811),x89813))+P1(f775(f775(f334(a1),f358(x89813,x89814,x89812,x89811)),f295(a1,f80(a1),x89812)))+P1(f775(f775(f233(a1),f775(f775(f3(a1),x89811),x89812)),x89813))
% 184.29/184.10 [8982]~P1(f775(f775(f233(a1),f2(a1)),x89822))+~P1(f775(f775(f232(a1),x89821),x89823))+P1(f775(f775(f334(a1),f349(x89823,x89824,x89822,x89821)),f295(a1,f80(a1),x89822)))+P1(f775(f775(f232(a1),f775(f775(f3(a1),x89821),x89822)),x89823))
% 184.29/184.10 [9003]~P1(f775(f775(f233(a1),f2(a1)),x90033))+~P1(f775(f775(f232(a1),f2(a1)),x90034))+~P1(f775(f775(f233(a1),x90034),x90031))+P1(f775(f775(f232(a1),f2(a1)),f775(f775(f82(a1),f775(f775(f83(a1),x90031),f52(a1,x90032,x90033))),x90034)))
% 184.29/184.10 [9061]~P100(x90611)+~P1(f775(f63(x90611),x90614))+~P1(f775(f775(f232(x90611),x90612),f688(x90613,x90612,x90614,x90611)))+P1(f775(f775(f232(x90611),f775(f775(f236(x90611),x90612),x90613)),f775(f775(f66(x90611,x90611,f236(x90611)),x90613),x90614)))
% 184.29/184.10 [9062]~P98(x90621)+~P1(f775(f63(x90621),x90624))+~P1(f775(f775(f232(x90621),x90622),f692(x90623,x90622,x90624,x90621)))+P1(f775(f775(f232(x90621),f775(f775(f104(x90621),x90622),x90623)),f775(f775(f66(x90621,x90621,f104(x90621)),x90623),x90624)))
% 184.29/184.10 [9075]~P1(f775(f775(f232(a1),x90754),f2(a1)))+~P1(f775(f775(f233(a1),f2(a1)),x90752))+~P1(f775(f775(f233(a1),x90751),x90754))+P1(f775(f775(f233(a1),f775(f775(f83(a1),x90751),x90752)),f775(f775(f82(a1),f775(f775(f83(a1),x90751),f52(a1,x90753,x90752))),x90754)))
% 184.29/184.10 [9097]P1(f775(f63(x90971),x90972))+~P1(f775(f63(x90971),x90973))+~P1(f775(f775(f334(f857(x90971,a844)),x90972),f775(f775(f61(x90971),x90973),x90974)))+~P1(f775(f775(f232(f857(f856(x90971,x90971),a844)),x90974),f775(f775(f248(x90971,x90971),x90973),f775(f18(f857(x90971,a844),x90971),x90973))))
% 184.29/184.10 [9120]~P100(x91201)+~P1(f775(f63(x91201),x91204))+P1(f775(f775(f334(x91201),f688(x91202,x91203,x91204,x91201)),x91204))+P1(f775(f775(f232(x91201),f775(f775(f236(x91201),x91203),x91202)),f775(f775(f66(x91201,x91201,f236(x91201)),x91202),x91204)))
% 184.29/184.10 [9121]~P98(x91211)+~P1(f775(f63(x91211),x91214))+P1(f775(f775(f334(x91211),f692(x91212,x91213,x91214,x91211)),x91214))+P1(f775(f775(f232(x91211),f775(f775(f104(x91211),x91213),x91212)),f775(f775(f66(x91211,x91211,f104(x91211)),x91212),x91214)))
% 184.29/184.10 [9493]~P1(f775(f63(x94932),x94934))+~P1(f775(f63(x94931),x94933))+~P1(f775(f775(f232(a850),f775(f42(x94932),x94934)),f775(f42(x94931),x94933)))+P1(f775(f775(f232(f857(x94931,a844)),f775(f303(x94932,x94931,f527(x94933,x94931,x94934,x94932)),x94934)),x94933))
% 184.29/184.10 [9158]~P1(f775(f775(f334(x91581),x91582),x91584))+P1(f775(f775(f334(x91581),x91582),x91583))+~P1(f775(f775(f233(f857(x91581,a844)),x91584),f775(f775(f302(x91581),x91582),x91583)))+P1(f775(f775(f233(f857(x91581,a844)),f775(f775(f3(f857(x91581,a844)),x91584),f775(f775(f302(x91581),x91582),f180(f857(x91581,a844))))),x91583))
% 184.29/184.10 [9310]~P1(f775(f775(f334(x93101),x93102),x93104))+P1(f775(f775(f334(x93101),x93102),x93103))+P1(f775(f775(f233(f857(x93101,a844)),x93104),f775(f775(f302(x93101),x93102),x93103)))+~P1(f775(f775(f233(f857(x93101,a844)),f775(f775(f3(f857(x93101,a844)),x93104),f775(f775(f302(x93101),x93102),f180(f857(x93101,a844))))),x93103))
% 184.29/184.10 [9338]P1(f775(f775(f334(x93381),x93382),x93383))+~P1(f775(f775(f232(f857(x93381,a844)),x93384),x93383))+P1(f775(f775(f233(f857(x93381,a844)),x93384),f775(f775(f302(x93381),x93382),x93383)))+~P1(f775(f775(f233(f857(x93381,a844)),f775(f775(f3(f857(x93381,a844)),x93384),f775(f775(f302(x93381),x93382),f180(f857(x93381,a844))))),x93383))
% 184.29/184.10 [9343]~P1(f775(f775(f334(x93431),x93433),x93432))+~P1(f775(f775(f233(f857(x93431,a844)),x93432),x93434))+P1(f775(f775(f233(f857(x93431,a844)),x93432),f775(f775(f302(x93431),x93433),x93434)))+~P1(f775(f775(f233(f857(x93431,a844)),f775(f775(f3(f857(x93431,a844)),x93432),f775(f775(f302(x93431),x93433),f180(f857(x93431,a844))))),x93434))
% 184.29/184.10 [9355]~P1(f775(f775(f232(f857(x93551,a844)),x93552),x93554))+~P1(f775(f775(f233(f857(x93551,a844)),x93552),x93554))+P1(f775(f775(f233(f857(x93551,a844)),x93552),f775(f775(f302(x93551),x93553),x93554)))+~P1(f775(f775(f233(f857(x93551,a844)),f775(f775(f3(f857(x93551,a844)),x93552),f775(f775(f302(x93551),x93553),f180(f857(x93551,a844))))),x93554))
% 184.29/184.10 [9682]E(f775(f775(f153(x96821),f775(f775(f153(f851(x96821)),f164(x96821,x96822)),x96823)),x96824),f775(f775(f153(x96821),f775(f775(f153(f851(x96821)),x96822),x96824)),x96823))+~P1(f775(f775(f233(a850),x96823),f775(f181(f851(f851(x96821))),f164(x96821,x96822))))+~P18(a850,f775(f142(a850),f775(f775(f143(f851(x96821),a850),f181(f851(x96821))),x96822)))+~P1(f775(f775(f233(a850),x96824),f775(f181(f851(f851(x96821))),f775(f126(f851(x96821),f775(f775(f10(a850,a844,f851(x96821)),f775(f233(a850),x96823)),f181(f851(x96821)))),x96822))))
% 184.29/184.10 [9703]~P1(f775(f775(f334(f856(a850,a850)),x97034),x97031))+~P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),x97034),x97032)),a40))+~P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),x97031),x97033)),a70))+P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),x97031),f775(f775(f302(f856(a850,a850)),x97032),x97033))),a70))
% 184.29/184.10 [9704]~P1(f775(f775(f334(f856(a850,a850)),x97044),x97041))+~P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),x97044),x97042)),a72))+~P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),x97041),x97043)),a73))+P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),x97041),f775(f775(f302(f856(a850,a850)),x97042),x97043))),a73))
% 184.29/184.10 [9716]~P1(f775(f775(f334(f856(a850,a850)),x97164),x97163))+~P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),x97161),x97164)),a40))+~P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),x97162),x97163)),a41))+P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),f775(f775(f302(f856(a850,a850)),x97161),x97162)),x97163)),a41))
% 184.29/184.10 [9717]~P1(f775(f775(f334(f856(a850,a850)),x97174),x97173))+~P1(f775(f775(f334(f856(f856(a850,a850),f856(a850,a850))),f775(f775(f241(f856(a850,a850),f856(a850,a850)),x97171),x97174)),a72))+~P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),x97172),x97173)),a71))+P1(f775(f775(f334(f856(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844))),f775(f775(f241(f857(f856(a850,a850),a844),f857(f856(a850,a850),a844)),f775(f775(f302(f856(a850,a850)),x97171),x97172)),x97173)),a71))
% 184.29/184.10 [5905]~P11(x59054,x59051)+~P1(f775(f775(x59051,x59052),x59055))+P1(f775(f775(x59051,x59052),x59053))+~P1(f775(f775(x59051,x59055),x59053))
% 184.29/184.10 [5172]~P6(x51725)+E(x51721,x51722)+~E(x51723,x51724)+~E(f775(f775(f3(x51725),x51723),x51724),f775(f775(f3(x51725),x51721),x51722))
% 184.29/184.10 [6017]~P21(x60175,x60171,x60173)+E(f775(f775(x60171,x60172),f775(x60173,x60174)),f775(x60173,x60174))+~P1(f775(f63(x60175),x60174))+~P1(f775(f775(f334(x60175),x60172),x60174))
% 184.29/184.10 [6214]~P77(x62141)+~E(f775(f775(f3(x62141),x62144),x62145),f775(f775(f3(x62141),x62142),x62143))+~P1(f775(f775(f233(x62141),x62144),x62145))+P1(f775(f775(f233(x62141),x62142),x62143))
% 184.29/184.10 [6216]~P77(x62161)+~E(f775(f775(f3(x62161),x62164),x62165),f775(f775(f3(x62161),x62162),x62163))+~P1(f775(f775(f232(x62161),x62164),x62165))+P1(f775(f775(f232(x62161),x62162),x62163))
% 184.29/184.10 [7225]~E(x72252,f775(f775(f140(x72251),x72254),x72255))+P1(f775(f775(f334(f851(x72251)),x72252),f149(x72251,x72253)))+~P1(f775(f775(f334(f851(x72251)),x72255),f149(x72251,x72253)))+~P1(f775(f775(f334(x72251),x72254),x72253))
% 184.29/184.10 [7659]~E(f775(f181(f851(x76591)),x76593),f775(f181(f851(x76592)),x76594))+~E(f775(f775(f143(f856(x76591,x76592),x76592),f250(x76591,x76592)),x76595),x76594)+~E(f775(f775(f143(f856(x76591,x76592),x76591),f240(x76591,x76592)),x76595),x76593)+E(f775(f775(f167(x76591,x76592),x76593),x76594),x76595)
% 184.29/184.10 [7995]~P99(x79951)+P1(f775(f775(f233(f857(x79951,a844)),f295(x79951,x79952,x79953)),f295(x79951,x79954,x79955)))+~P1(f775(f775(f232(x79951),x79954),x79955))+P1(f775(f775(f232(x79951),x79952),x79953))
% 184.29/184.10 [8087]~P99(x80871)+P1(f775(f775(f232(f857(x80871,a844)),f295(x80871,x80872,x80873)),f295(x80871,x80874,x80875)))+~P1(f775(f775(f232(x80871),x80873),x80875))+~P1(f775(f775(f232(x80871),x80874),x80872))
% 184.29/184.10 [8205]~P100(x82051)+P1(f775(f775(f232(x82051),x82052),x82053))+P1(f775(f775(f232(x82051),x82054),x82053))+~P1(f775(f775(f232(f857(x82051,a844)),f775(f294(x82051,x82053),x82052)),f775(f294(x82051,x82054),x82055)))
% 184.29/184.10 [8206]~P100(x82061)+P1(f775(f775(f232(x82061),x82062),x82063))+P1(f775(f775(f232(x82061),x82062),x82064))+~P1(f775(f775(f232(f857(x82061,a844)),f775(f294(x82061,x82063),x82062)),f775(f294(x82061,x82065),x82064)))
% 184.29/184.10 [8446]~P99(x84461)+~P1(f775(f775(f233(f857(x84461,a844)),f295(x84461,x84464,x84462)),f295(x84461,x84465,x84463)))+P1(f775(f775(f232(x84461),x84462),x84463))+~P1(f775(f775(f232(x84461),x84464),x84462))
% 184.29/184.10 [8447]~P99(x84471)+~P1(f775(f775(f232(f857(x84471,a844)),f295(x84471,x84474,x84472)),f295(x84471,x84475,x84473)))+P1(f775(f775(f232(x84471),x84472),x84473))+~P1(f775(f775(f232(x84471),x84474),x84472))
% 184.29/184.10 [8448]~P99(x84481)+~P1(f775(f775(f233(f857(x84481,a844)),f295(x84481,x84483,x84484)),f295(x84481,x84482,x84485)))+P1(f775(f775(f232(x84481),x84482),x84483))+~P1(f775(f775(f232(x84481),x84483),x84484))
% 184.29/184.10 [8449]~P99(x84491)+~P1(f775(f775(f232(f857(x84491,a844)),f295(x84491,x84493,x84494)),f295(x84491,x84492,x84495)))+P1(f775(f775(f232(x84491),x84492),x84493))+~P1(f775(f775(f232(x84491),x84493),x84494))
% 184.29/184.10 [5904]~P21(x59042,x59045,x59043)+E(x59041,f180(f857(x59042,a844)))+~P1(f775(f63(x59042),x59041))+E(f775(x59043,f775(f775(f302(x59042),x59044),x59041)),f775(f775(x59045,x59044),f775(x59043,x59041)))
% 184.29/184.10 [6710]~E(x67101,x67102)+~E(f775(f775(f104(f857(x67103,a844)),x67104),x67105),f180(f857(x67103,a844)))+~P1(f775(f775(f334(x67103),x67102),x67105))+~P1(f775(f775(f334(x67103),x67101),x67104))
% 184.29/184.10 [6797]~P22(x67972,x67975,x67971)+~P1(f775(f63(x67972),x67974))+E(f775(x67971,f775(f775(f302(x67972),x67973),x67974)),f775(f775(f66(x67972,x67972,x67975),x67973),x67974))+P1(f775(f775(f334(x67972),x67973),x67974))
% 184.29/184.10 [6868]~P66(x68682)+~P1(f775(f63(x68681),x68685))+E(f775(f775(f8(x68681,x68682),x68683),f775(f775(f302(x68681),x68684),x68685)),f775(f775(f82(x68682),f775(x68683,x68684)),f775(f775(f8(x68681,x68682),x68683),x68685)))+P1(f775(f775(f334(x68681),x68684),x68685))
% 184.29/184.10 [6870]~P70(x68702)+~P1(f775(f63(x68701),x68705))+E(f775(f775(f11(x68701,x68702),x68703),f775(f775(f302(x68701),x68704),x68705)),f775(f775(f83(x68702),f775(x68703,x68704)),f775(f775(f11(x68701,x68702),x68703),x68705)))+P1(f775(f775(f334(x68701),x68704),x68705))
% 184.29/184.10 [7283]~P85(x72831)+~P1(f775(f63(x72834),x72835))+~P1(f775(f775(f334(x72834),x72833),x72835))+P1(f775(f775(f279(x72831),f775(x72832,x72833)),f775(f775(f11(x72834,x72831),x72832),x72835)))
% 184.29/184.10 [7396]~P22(x73962,x73965,x73961)+~P1(f775(f63(x73962),x73964))+E(f775(x73961,f775(f775(f302(x73962),x73963),x73964)),x73963)+~E(f775(f775(f3(f857(x73962,a844)),x73964),f775(f775(f302(x73962),x73963),f180(f857(x73962,a844)))),f180(f857(x73962,a844)))
% 184.29/184.10 [7709]~P1(f775(x77091,x77093))+~P1(f775(f775(f187(x77092),x77093),x77095))+~P1(f775(f775(f187(f35(x77091,x77092)),x77095),x77094))+P1(f775(f775(f187(f35(x77091,x77092)),x77093),x77094))
% 184.29/184.10 [7727]~P85(x77271)+~P1(f775(f775(f279(x77271),x77272),x77274))+~P1(f775(f775(f232(a850),x77273),x77275))+P1(f775(f775(f279(x77271),f775(f775(f242(x77271),x77272),x77273)),f775(f775(f242(x77271),x77274),x77275)))
% 184.29/184.10 [7761]~P7(x77611)+E(f775(f775(f43(x77611),f775(f775(f83(x77611),x77612),x77613)),f775(f775(f83(x77611),x77614),x77615)),f775(f775(f83(x77611),f775(f775(f43(x77611),x77612),x77614)),f775(f775(f43(x77611),x77613),x77615)))+~P1(f775(f775(f279(x77611),x77615),x77613))+~P1(f775(f775(f279(x77611),x77614),x77612))
% 184.29/184.10 [7765]~P80(x77651)+~P1(f775(f775(f233(x77651),x77653),x77655))+~P1(f775(f775(f233(x77651),x77652),x77654))+P1(f775(f775(f233(x77651),f775(f775(f82(x77651),x77652),x77653)),f775(f775(f82(x77651),x77654),x77655)))
% 184.29/184.10 [7766]~P80(x77661)+~P1(f775(f775(f232(x77661),x77662),x77664))+~P1(f775(f775(f233(x77661),x77663),x77665))+P1(f775(f775(f233(x77661),f775(f775(f82(x77661),x77662),x77663)),f775(f775(f82(x77661),x77664),x77665)))
% 184.29/184.10 [7767]~P80(x77671)+~P1(f775(f775(f232(x77671),x77673),x77675))+~P1(f775(f775(f233(x77671),x77672),x77674))+P1(f775(f775(f233(x77671),f775(f775(f82(x77671),x77672),x77673)),f775(f775(f82(x77671),x77674),x77675)))
% 184.29/184.10 [7768]~P78(x77681)+~P1(f775(f775(f232(x77681),x77683),x77685))+~P1(f775(f775(f232(x77681),x77682),x77684))+P1(f775(f775(f232(x77681),f775(f775(f82(x77681),x77682),x77683)),f775(f775(f82(x77681),x77684),x77685)))
% 184.29/184.10 [7769]~P100(x77691)+~P1(f775(f775(f232(x77691),x77693),x77695))+~P1(f775(f775(f232(x77691),x77692),x77694))+P1(f775(f775(f232(x77691),f775(f775(f236(x77691),x77692),x77693)),f775(f775(f236(x77691),x77694),x77695)))
% 184.29/184.10 [7770]~P100(x77701)+~P1(f775(f775(f232(x77701),x77703),x77705))+~P1(f775(f775(f232(x77701),x77702),x77704))+P1(f775(f775(f232(x77701),f775(f775(f179(x77701),x77702),x77703)),f775(f775(f179(x77701),x77704),x77705)))
% 184.29/184.10 [7771]~P92(x77711)+~P1(f775(f775(f232(x77711),x77713),x77715))+~P1(f775(f775(f232(x77711),x77712),x77714))+P1(f775(f775(f232(x77711),f775(f775(f103(x77711),x77712),x77713)),f775(f775(f103(x77711),x77714),x77715)))
% 184.29/184.10 [7772]~P98(x77721)+~P1(f775(f775(f232(x77721),x77723),x77725))+~P1(f775(f775(f232(x77721),x77722),x77724))+P1(f775(f775(f232(x77721),f775(f775(f104(x77721),x77722),x77723)),f775(f775(f104(x77721),x77724),x77725)))
% 184.29/184.10 [7773]~P85(x77731)+~P1(f775(f775(f279(x77731),x77733),x77735))+~P1(f775(f775(f279(x77731),x77732),x77734))+P1(f775(f775(f279(x77731),f775(f775(f83(x77731),x77732),x77733)),f775(f775(f83(x77731),x77734),x77735)))
% 184.29/184.10 [7906]~P137(x79065)+E(x79061,x79062)+E(x79063,x79064)+~E(f775(f775(f82(x79065),f775(f775(f83(x79065),x79063),x79061)),f775(f775(f83(x79065),x79064),x79062)),f775(f775(f82(x79065),f775(f775(f83(x79065),x79063),x79062)),f775(f775(f83(x79065),x79064),x79061)))
% 184.29/184.10 [8044]P31(x80441,x80442,x80443)+~P32(x80441,x80444,x80445)+~P31(x80441,x80442,f560(x80445,x80444,x80441,x80442))+~P1(f775(f775(f334(f849(x80441)),x80443),x80445))
% 184.29/184.10 [8107]~P100(x81074)+~P1(f775(f127(x81071),x81073))+P1(f775(f775(f334(x81071),x81072),f775(f158(x81071),x81073)))+P1(f775(f127(x81071),f775(f775(f138(x81071,x81074,x81075),x81072),x81073)))
% 184.29/184.10 [8251]~P66(x82511)+E(f775(f775(f82(x82511),f775(f775(f8(a850,x82511),x82512),f775(f294(a850,x82513),x82514))),f775(f775(f8(a850,x82511),x82512),f775(f294(a850,x82514),x82515))),f775(f775(f8(a850,x82511),x82512),f775(f294(a850,x82513),x82515)))+~P1(f775(f775(f232(a850),x82514),x82515))+~P1(f775(f775(f232(a850),x82513),x82514))
% 184.29/184.10 [8252]~P6(x82521)+E(f775(f775(f3(x82521),f775(f775(f8(a850,x82521),x82522),f775(f294(a850,x82523),x82524))),f775(f775(f8(a850,x82521),x82522),f775(f294(a850,x82523),x82525))),f775(f775(f8(a850,x82521),x82522),f775(f294(a850,x82525),x82524)))+~P1(f775(f775(f232(a850),x82525),x82524))+~P1(f775(f775(f232(a850),x82523),x82525))
% 184.29/184.10 [8571]~P61(x85712)+E(x85711,f2(x85712))+E(x85713,f2(x85712))+E(f775(f775(f283(x85712),f775(f775(f82(x85712),f775(f775(f83(x85712),x85714),x85711)),f775(f775(f83(x85712),x85715),x85713))),f775(f775(f83(x85712),x85713),x85711)),f775(f775(f82(x85712),f775(f775(f283(x85712),x85714),x85713)),f775(f775(f283(x85712),x85715),x85711)))
% 184.29/184.10 [8572]~P61(x85722)+E(x85721,f2(x85722))+E(x85723,f2(x85722))+E(f775(f775(f283(x85722),f775(f775(f3(x85722),f775(f775(f83(x85722),x85724),x85721)),f775(f775(f83(x85722),x85725),x85723))),f775(f775(f83(x85722),x85723),x85721)),f775(f775(f3(x85722),f775(f775(f283(x85722),x85724),x85723)),f775(f775(f283(x85722),x85725),x85721)))
% 184.29/184.10 [8581]~E(x85812,f775(x85813,x85811))+E(x85811,f523(x85812,x85813,x85814,x85815))+~P29(x85815,x85814,x85813,f239(f857(x85815,a844)))+~P1(f775(f775(f334(x85814),x85812),f775(f303(x85815,x85814,x85813),f239(f857(x85815,a844)))))
% 184.29/184.10 [8765]~P110(x87651)+~P1(f775(f775(f233(x87651),f775(f77(x87651),x87652)),x87654))+P1(f775(f775(f233(x87651),f775(f775(f83(x87651),f775(f77(x87651),x87652)),f775(f77(x87651),x87653))),f775(f775(f83(x87651),x87654),x87655)))+~P1(f775(f775(f233(x87651),f775(f77(x87651),x87653)),x87655))
% 184.29/184.10 [8779]~P32(x87791,x87795,x87794)+P31(x87791,x87792,x87793)+P1(f775(f775(f334(f849(x87791)),f560(x87794,x87795,x87791,x87792)),x87795))+~P1(f775(f775(f334(f849(x87791)),x87793),x87794))
% 184.29/184.10 [8859]~P29(x88591,x88593,x88595,x88592)+~P1(f775(f63(x88593),x88594))+P1(f775(f775(f232(a850),f775(f42(x88591),x88592)),f775(f42(x88593),x88594)))+~P1(f775(f775(f232(f857(x88593,a844)),f775(f303(x88591,x88593,x88595),x88592)),x88594))
% 184.29/184.10 [8928]~P66(x89282)+~P29(x89281,x89281,x89284,x89285)+~P1(f775(f63(x89281),x89285))+E(f775(f775(f8(x89281,x89282),f775(f75(x89281,x89282,x89281,x89283),x89284)),x89285),f775(f775(f8(x89281,x89282),x89283),f775(f303(x89281,x89281,x89284),x89285)))
% 184.29/184.10 [8929]~P70(x89292)+~P29(x89291,x89291,x89294,x89295)+~P1(f775(f63(x89291),x89295))+E(f775(f775(f11(x89291,x89292),f775(f75(x89291,x89292,x89291,x89293),x89294)),x89295),f775(f775(f11(x89291,x89292),x89293),f775(f303(x89291,x89291,x89294),x89295)))
% 184.29/184.10 [9041]~P36(x90411,x90412)+~P1(f775(f775(f334(x90411),x90413),x90414))+~P1(f775(f775(f334(x90411),x90415),x90414))+~P1(f775(f775(f334(f856(x90411,x90411)),f775(f775(f241(x90411,x90411),x90415),f694(x90412,x90411,x90414))),x90412))
% 184.29/184.10 [9074]~P29(x90742,x90743,x90745,x90741)+E(x90741,f180(f857(x90742,a844)))+E(f775(f303(x90743,x90742,f525(x90744,x90743,x90742,x90741)),x90744),x90741)+~P1(f775(f775(f232(f857(x90743,a844)),f775(f303(x90742,x90743,x90745),x90741)),x90744))
% 184.29/184.10 [9516]~P100(x95165)+~P9(x95165)+P1(f775(f775(f334(x95161),f390(x95162,x95163,x95161,x95164,x95165)),x95163))+~P1(f775(f775(f233(x95165),x95164),f775(f775(f46(x95161,x95165),x95163),x95162)))
% 184.29/184.10 [9521]~P100(x95211)+~P9(x95211)+P1(f775(f775(f233(x95211),x95212),f775(x95213,f390(x95213,x95214,x95215,x95212,x95211))))+~P1(f775(f775(f233(x95211),x95212),f775(f775(f46(x95215,x95211),x95214),x95213)))
% 184.29/184.10 [9590]~P64(x95901)+~P1(f775(f68(x95901,x95901,f83(x95901),x95902,x95903),x95905))+P1(f775(f775(f334(x95901),x95902),x95903))+P1(f775(f68(x95901,x95901,f83(x95901),x95904,f775(f775(f302(x95901),x95902),x95903)),f775(f775(f83(x95901),x95904),x95905)))
% 184.29/184.10 [9799]~P66(x97992)+~P1(f775(f63(x97991),x97995))+E(f775(f775(f8(x97991,x97992),f775(f775(f9(x97991,x97992,x97992),f775(f775(f20(x97991,x97992,f857(x97992,x97992)),f775(f775(f10(a844,f857(x97992,f857(x97992,x97992)),x97991),f98(x97992)),f775(a330,x97993))),x97994)),f2(x97992))),x97995),f2(x97992))+P1(f775(f775(f334(x97991),x97993),x97995))
% 184.29/184.10 [9800]~P70(x98002)+~P1(f775(f63(x98001),x98005))+E(f775(f775(f11(x98001,x98002),f775(f775(f9(x98001,x98002,x98002),f775(f775(f20(x98001,x98002,f857(x98002,x98002)),f775(f775(f10(a844,f857(x98002,f857(x98002,x98002)),x98001),f98(x98002)),f775(a330,x98003))),x98004)),f80(x98002))),x98005),f80(x98002))+P1(f775(f775(f334(x98001),x98003),x98005))
% 184.29/184.10 [9801]~P66(x98012)+~P1(f775(f63(x98011),x98015))+E(f775(f775(f8(x98011,x98012),f775(f775(f9(x98011,x98012,x98012),f775(f775(f20(x98011,x98012,f857(x98012,x98012)),f775(f775(f10(a844,f857(x98012,f857(x98012,x98012)),x98011),f98(x98012)),f775(a330,x98013))),x98014)),f2(x98012))),x98015),f775(x98014,x98013))+~P1(f775(f775(f334(x98011),x98013),x98015))
% 184.29/184.10 [9802]~P70(x98022)+~P1(f775(f63(x98021),x98025))+E(f775(f775(f11(x98021,x98022),f775(f775(f9(x98021,x98022,x98022),f775(f775(f20(x98021,x98022,f857(x98022,x98022)),f775(f775(f10(a844,f857(x98022,f857(x98022,x98022)),x98021),f98(x98022)),f775(a330,x98023))),x98024)),f80(x98022))),x98025),f775(x98024,x98023))+~P1(f775(f775(f334(x98021),x98023),x98025))
% 184.29/184.10 [9863]~P66(x98632)+~P1(f775(f63(x98631),x98635))+E(f775(f775(f8(x98631,x98632),f775(f775(f9(x98631,x98632,x98632),f775(f775(f20(x98631,x98632,f857(x98632,x98632)),f775(f775(f10(a844,f857(x98632,f857(x98632,x98632)),x98631),f98(x98632)),f775(f775(f9(x98631,x98631,a844),a330),x98633))),x98634)),f2(x98632))),x98635),f2(x98632))+P1(f775(f775(f334(x98631),x98633),x98635))
% 184.29/184.10 [9864]~P70(x98642)+~P1(f775(f63(x98641),x98645))+E(f775(f775(f11(x98641,x98642),f775(f775(f9(x98641,x98642,x98642),f775(f775(f20(x98641,x98642,f857(x98642,x98642)),f775(f775(f10(a844,f857(x98642,f857(x98642,x98642)),x98641),f98(x98642)),f775(f775(f9(x98641,x98641,a844),a330),x98643))),x98644)),f80(x98642))),x98645),f80(x98642))+P1(f775(f775(f334(x98641),x98643),x98645))
% 184.29/184.10 [9866]~P66(x98662)+~P1(f775(f63(x98661),x98665))+E(f775(f775(f8(x98661,x98662),f775(f775(f9(x98661,x98662,x98662),f775(f775(f20(x98661,x98662,f857(x98662,x98662)),f775(f775(f10(a844,f857(x98662,f857(x98662,x98662)),x98661),f98(x98662)),f775(f775(f9(x98661,x98661,a844),a330),x98663))),x98664)),f2(x98662))),x98665),f775(x98664,x98663))+~P1(f775(f775(f334(x98661),x98663),x98665))
% 184.29/184.10 [9867]~P70(x98672)+~P1(f775(f63(x98671),x98675))+E(f775(f775(f11(x98671,x98672),f775(f775(f9(x98671,x98672,x98672),f775(f775(f20(x98671,x98672,f857(x98672,x98672)),f775(f775(f10(a844,f857(x98672,f857(x98672,x98672)),x98671),f98(x98672)),f775(f775(f9(x98671,x98671,a844),a330),x98673))),x98674)),f80(x98672))),x98675),f775(x98674,x98673))+~P1(f775(f775(f334(x98671),x98673),x98675))
% 184.29/184.10 [7764]~P6(x77642)+~P1(f775(f63(x77641),x77644))+E(f775(f775(f8(x77641,x77642),x77643),f775(f775(f3(f857(x77641,a844)),x77644),f775(f775(f302(x77641),x77645),f180(f857(x77641,a844))))),f775(f775(f8(x77641,x77642),x77643),x77644))+P1(f775(f775(f334(x77641),x77645),x77644))
% 184.29/184.10 [8257]~P121(x82572)+~P1(f775(f63(x82571),x82574))+E(f775(f775(f8(x82571,x82572),x82573),f775(f775(f3(f857(x82571,a844)),x82574),f775(f775(f302(x82571),x82575),f180(f857(x82571,a844))))),f775(f775(f3(x82572),f775(f775(f8(x82571,x82572),x82573),x82574)),f775(x82573,x82575)))+~P1(f775(f775(f334(x82571),x82575),x82574))
% 184.29/184.10 [8258]~P6(x82582)+~P1(f775(f63(x82581),x82584))+E(f775(f775(f8(x82581,x82582),x82583),f775(f775(f3(f857(x82581,a844)),x82584),f775(f775(f302(x82581),x82585),f180(f857(x82581,a844))))),f775(f775(f3(x82582),f775(f775(f8(x82581,x82582),x82583),x82584)),f775(x82583,x82585)))+~P1(f775(f775(f334(x82581),x82585),x82584))
% 184.29/184.10 [8269]~P85(x82691)+~P1(f775(f775(f232(a850),x82693),x82695))+~P1(f775(f775(f279(x82691),f775(f775(f242(x82691),x82692),x82695)),x82694))+P1(f775(f775(f279(x82691),f775(f775(f242(x82691),x82692),x82693)),x82694))
% 184.29/184.10 [8286]~P6(x82861)+~P1(f775(f63(x82862),x82864))+E(f775(f775(f3(x82861),f775(f775(f8(x82862,x82861),x82863),x82864)),f775(f775(f8(x82862,x82861),x82863),x82865)),f775(f775(f8(x82862,x82861),x82863),f775(f775(f3(f857(x82862,a844)),x82864),x82865)))+~P1(f775(f775(f232(f857(x82862,a844)),x82865),x82864))
% 184.29/184.10 [8307]P1(f775(f63(x83071),f775(x83072,x83073)))+~P1(f775(f63(x83074),x83075))+~P1(f775(f775(f334(x83074),x83073),x83075))+~P1(f775(f63(x83071),f775(f775(f46(x83074,f857(x83071,a844)),x83075),x83072)))
% 184.29/184.10 [8730]~P12(x87301,x87305,x87304)+~E(f775(f277(x87301,x87301,x87304),f775(f775(f302(x87301),x87302),f180(f857(x87301,a844)))),f775(f277(x87301,x87301,x87304),f775(f775(f302(x87301),x87303),f180(f857(x87301,a844)))))+~P1(f775(f775(f334(x87301),x87303),x87305))+P1(f775(f775(f334(f856(x87301,x87301)),f775(f775(f241(x87301,x87301),x87302),x87303)),x87304))
% 184.29/184.10 [9001]~P1(f775(x90011,x90015))+P1(f775(x90011,f381(x90011,x90012,x90013,x90014)))+P1(f775(x90011,f379(x90011,x90012,x90013,x90014)))+~P1(f775(f775(f334(x90014),x90015),f775(f775(f103(f857(x90014,a844)),x90013),x90012)))
% 184.29/184.10 [9162]~P1(f775(x91621,x91625))+P1(f775(x91621,f379(x91621,x91622,x91623,x91624)))+P1(f775(f775(f334(x91624),f381(x91621,x91622,x91623,x91624)),x91622))+~P1(f775(f775(f334(x91624),x91625),f775(f775(f103(f857(x91624,a844)),x91623),x91622)))
% 184.29/184.10 [9163]~P1(f775(x91631,x91635))+P1(f775(x91631,f381(x91631,x91632,x91633,x91634)))+P1(f775(f775(f334(x91634),f379(x91631,x91632,x91633,x91634)),x91633))+~P1(f775(f775(f334(x91634),x91635),f775(f775(f103(f857(x91634,a844)),x91633),x91632)))
% 184.29/184.10 [9167]P1(f775(x91671,x91672))+~P1(f775(x91671,f385(x91671,x91673,x91674,x91675)))+~P1(f775(x91671,f384(x91671,x91673,x91674,x91675)))+~P1(f775(f775(f334(x91675),x91672),f775(f775(f103(f857(x91675,a844)),x91674),x91673)))
% 184.29/184.10 [9200]E(x92001,x92002)+~P1(f775(f775(f334(f856(x92003,x92003)),f775(f775(f241(x92003,x92003),x92001),x92002)),f300(x92003,x92005)))+P1(f775(f775(f334(x92003),x92001),x92004))+~P1(f775(f775(f232(f857(f856(x92003,x92003),a844)),x92005),f775(f775(f248(x92003,x92003),x92004),f775(f18(f857(x92003,a844),x92003),x92004))))
% 184.29/184.10 [9217]P1(f775(x92171,x92172))+~P1(f775(x92171,f384(x92171,x92174,x92175,x92173)))+P1(f775(f775(f334(x92173),f385(x92171,x92174,x92175,x92173)),x92174))+~P1(f775(f775(f334(x92173),x92172),f775(f775(f103(f857(x92173,a844)),x92175),x92174)))
% 184.29/184.10 [9218]P1(f775(x92181,x92182))+~P1(f775(x92181,f385(x92181,x92184,x92185,x92183)))+P1(f775(f775(f334(x92183),f384(x92181,x92184,x92185,x92183)),x92185))+~P1(f775(f775(f334(x92183),x92182),f775(f775(f103(f857(x92183,a844)),x92185),x92184)))
% 184.29/184.10 [9280]P1(f775(x92801,x92802))+P1(f775(f775(f334(x92803),f385(x92801,x92804,x92805,x92803)),x92804))+P1(f775(f775(f334(x92803),f384(x92801,x92804,x92805,x92803)),x92805))+~P1(f775(f775(f334(x92803),x92802),f775(f775(f103(f857(x92803,a844)),x92805),x92804)))
% 184.29/184.10 [9282]~P1(f775(x92822,x92825))+P1(f775(f775(f334(x92821),f381(x92822,x92823,x92824,x92821)),x92823))+P1(f775(f775(f334(x92821),f379(x92822,x92823,x92824,x92821)),x92824))+~P1(f775(f775(f334(x92821),x92825),f775(f775(f103(f857(x92821,a844)),x92824),x92823)))
% 184.29/184.10 [9429]~P12(x94291,x94295,x94294)+~P1(f775(f775(f334(x94291),x94293),x94295))+P1(f775(f775(f334(f856(x94291,x94291)),f775(f775(f241(x94291,x94291),x94292),x94293)),x94294))+~P1(f775(f775(f232(f857(x94291,a844)),f775(f277(x94291,x94291,x94294),f775(f775(f302(x94291),x94293),f180(f857(x94291,a844))))),f775(f277(x94291,x94291,x94294),f775(f775(f302(x94291),x94292),f180(f857(x94291,a844))))))
% 184.29/184.10 [9545]~P100(x95455)+~P9(x95455)+P1(f775(f775(f334(x95451),f661(x95452,x95453,x95454,x95451,x95455)),x95454))+~P1(f775(f775(f233(x95455),f775(f775(f47(x95451,x95455),x95454),x95453)),x95452))
% 184.29/184.10 [9577]~P67(x95775)+~P78(x95775)+P1(f775(f775(f334(x95771),f752(x95772,x95773,x95774,x95771,x95775)),f775(f158(x95771),x95774)))+P1(f775(f775(f232(x95775),f775(f155(x95775),f775(f775(f143(x95771,x95775),x95773),x95774))),f775(f155(x95775),f775(f775(f143(x95771,x95775),x95772),x95774))))
% 184.29/184.10 [9672]~P100(x96721)+~P9(x96721)+P1(f775(f775(f233(x96721),f775(x96722,f661(x96723,x96722,x96724,x96725,x96721))),x96723))+~P1(f775(f775(f233(x96721),f775(f775(f47(x96725,x96721),x96724),x96722)),x96723))
% 184.29/184.10 [9816]~P67(x98161)+~P78(x98161)+~P1(f775(f775(f232(x98161),f775(x98163,f752(x98165,x98163,x98164,x98162,x98161))),f775(x98165,f752(x98165,x98163,x98164,x98162,x98161))))+P1(f775(f775(f232(x98161),f775(f155(x98161),f775(f775(f143(x98162,x98161),x98163),x98164))),f775(f155(x98161),f775(f775(f143(x98162,x98161),x98165),x98164))))
% 184.29/184.10 [8589]~P66(x85891)+~P1(f775(f63(x85894),x85895))+~P1(f775(f775(f334(x85894),x85893),x85895))+E(f775(f775(f82(x85891),f775(x85892,x85893)),f775(f775(f8(x85894,x85891),x85892),f775(f775(f3(f857(x85894,a844)),x85895),f775(f775(f302(x85894),x85893),f180(f857(x85894,a844)))))),f775(f775(f8(x85894,x85891),x85892),x85895))
% 184.29/184.10 [8590]~P70(x85901)+~P1(f775(f63(x85904),x85905))+~P1(f775(f775(f334(x85904),x85903),x85905))+E(f775(f775(f83(x85901),f775(x85902,x85903)),f775(f775(f11(x85904,x85901),x85902),f775(f775(f3(f857(x85904,a844)),x85905),f775(f775(f302(x85904),x85903),f180(f857(x85904,a844)))))),f775(f775(f11(x85904,x85901),x85902),x85905))
% 184.29/184.10 [8643]~P22(x86431,x86434,x86435)+~P1(f775(f63(x86431),x86432))+E(f775(f775(f3(f857(x86431,a844)),x86432),f775(f775(f302(x86431),x86433),f180(f857(x86431,a844)))),f180(f857(x86431,a844)))+E(f775(f775(x86434,x86433),f775(x86435,f775(f775(f3(f857(x86431,a844)),x86432),f775(f775(f302(x86431),x86433),f180(f857(x86431,a844)))))),f775(x86435,f775(f775(f302(x86431),x86433),x86432)))
% 184.29/184.10 [8976]~P66(x89761)+~P1(f775(f63(x89762),x89765))+~P1(f775(f63(x89762),x89764))+E(f775(f775(f82(x89761),f775(f775(f8(x89762,x89761),x89763),f775(f775(f103(f857(x89762,a844)),x89764),x89765))),f775(f775(f8(x89762,x89761),x89763),f775(f775(f104(f857(x89762,a844)),x89764),x89765))),f775(f775(f82(x89761),f775(f775(f8(x89762,x89761),x89763),x89764)),f775(f775(f8(x89762,x89761),x89763),x89765)))
% 184.29/184.10 [8978]~P70(x89781)+~P1(f775(f63(x89782),x89785))+~P1(f775(f63(x89782),x89784))+E(f775(f775(f83(x89781),f775(f775(f11(x89782,x89781),x89783),f775(f775(f103(f857(x89782,a844)),x89784),x89785))),f775(f775(f11(x89782,x89781),x89783),f775(f775(f104(f857(x89782,a844)),x89784),x89785))),f775(f775(f83(x89781),f775(f775(f11(x89782,x89781),x89783),x89784)),f775(f775(f11(x89782,x89781),x89783),x89785)))
% 184.29/184.10 [9112]~P6(x91121)+~P1(f775(f63(x91122),x91125))+~P1(f775(f63(x91122),x91124))+E(f775(f775(f3(x91121),f775(f775(f82(x91121),f775(f775(f8(x91122,x91121),x91123),x91124)),f775(f775(f8(x91122,x91121),x91123),x91125))),f775(f775(f8(x91122,x91121),x91123),f775(f775(f104(f857(x91122,a844)),x91124),x91125))),f775(f775(f8(x91122,x91121),x91123),f775(f775(f103(f857(x91122,a844)),x91124),x91125)))
% 184.29/184.10 [9294]~P29(x92941,x92942,x92943,x92945)+~P29(x92941,x92942,x92943,x92944)+P29(x92941,x92942,x92943,f775(f775(f103(f857(x92941,a844)),x92944),x92945))+~E(f775(f775(f104(f857(x92942,a844)),f775(f303(x92941,x92942,x92943),f775(f775(f3(f857(x92941,a844)),x92944),x92945))),f775(f303(x92941,x92942,x92943),f775(f775(f3(f857(x92941,a844)),x92945),x92944))),f180(f857(x92942,a844)))
% 184.29/184.10 [9401]E(x94011,f2(a1))+~P1(f775(f775(f233(a1),f2(a1)),x94013))+~P1(f775(f56(x94012,x94011),f775(f775(f241(a1,a1),x94014),x94015)))+P1(f775(f56(x94012,f775(f775(f83(a1),x94011),x94013)),f775(f775(f241(a1,a1),f775(f775(f43(a1),x94014),x94013)),f775(f775(f82(a1),f775(f775(f83(a1),x94011),f52(a1,x94014,x94013))),x94015))))
% 184.29/184.10 [9409]~P1(f775(f775(f233(a850),f2(a850)),x94093))+~P1(f775(f775(f233(a850),f2(a850)),x94092))+~P1(f775(f55(x94091,x94092),f775(f775(f241(a850,a850),x94094),x94095)))+P1(f775(f55(x94091,f775(f775(f83(a850),x94092),x94093)),f775(f775(f241(a850,a850),f775(f775(f43(a850),x94094),x94093)),f775(f775(f82(a850),f775(f775(f83(a850),x94092),f52(a850,x94094,x94093))),x94095))))
% 184.29/184.10 [9459]E(f775(f775(f82(a1),f363(x94591,x94592,x94593,x94594,x94595)),f364(x94591,x94592,x94593,x94594,x94595)),x94595)+~P1(f775(f775(f279(a1),x94594),x94593))+~P1(f775(f775(f279(a1),x94594),f775(f775(f82(a1),x94595),x94591)))+P1(f775(f775(f279(a1),x94594),f775(f775(f82(a1),f775(f775(f3(a1),x94595),x94593)),x94591)))
% 184.29/184.10 [9460]E(f775(f775(f3(a1),f365(x94601,x94602,x94603,x94604,x94605)),f366(x94601,x94602,x94603,x94604,x94605)),x94605)+~P1(f775(f775(f279(a1),x94604),x94603))+~P1(f775(f775(f279(a1),x94604),f775(f775(f82(a1),x94605),x94601)))+P1(f775(f775(f279(a1),x94604),f775(f775(f82(a1),f775(f775(f82(a1),x94605),x94603)),x94601)))
% 184.29/184.10 [9461]~P70(x94611)+~P1(f775(f63(x94612),x94615))+~P1(f775(f63(x94612),x94614))+E(f775(f775(f83(x94611),f775(f775(f775(f67(x94611,x94612,f83(x94611)),x94613),f80(x94611)),f775(f775(f103(f857(x94612,a844)),x94614),x94615))),f775(f775(f775(f67(x94611,x94612,f83(x94611)),x94613),f80(x94611)),f775(f775(f104(f857(x94612,a844)),x94614),x94615))),f775(f775(f83(x94611),f775(f775(f775(f67(x94611,x94612,f83(x94611)),x94613),f80(x94611)),x94614)),f775(f775(f775(f67(x94611,x94612,f83(x94611)),x94613),f80(x94611)),x94615)))
% 184.29/184.10 [9463]~E(f775(f775(f159(x94631),x94635),x94632),f775(f775(f159(x94631),x94635),x94633))+P1(f775(f775(f334(f856(f851(x94631),f851(x94631))),f775(f775(f241(f851(x94631),f851(x94631)),x94632),x94633)),f137(x94631,x94634)))+~P1(f775(f775(f233(a850),x94635),f775(f775(f236(a850),f775(f181(f851(x94631)),x94632)),f775(f181(f851(x94631)),x94633))))+~P1(f775(f775(f334(f856(x94631,x94631)),f775(f775(f241(x94631,x94631),f775(f775(f153(x94631),x94632),x94635)),f775(f775(f153(x94631),x94633),x94635))),x94634))
% 184.29/184.10 [9472]E(f775(f775(f82(a1),f367(x94721,x94722,x94723,x94724,x94725)),f368(x94721,x94722,x94723,x94724,x94725)),x94725)+~P1(f775(f775(f279(a1),x94724),x94723))+P1(f775(f775(f279(a1),x94724),f775(f775(f82(a1),x94725),x94721)))+~P1(f775(f775(f279(a1),x94724),f775(f775(f82(a1),f775(f775(f3(a1),x94725),x94723)),x94721)))
% 184.29/184.10 [9473]E(f775(f775(f3(a1),f360(x94731,x94732,x94733,x94734,x94735)),f361(x94731,x94732,x94733,x94734,x94735)),x94735)+~P1(f775(f775(f279(a1),x94734),x94733))+P1(f775(f775(f279(a1),x94734),f775(f775(f82(a1),x94735),x94731)))+~P1(f775(f775(f279(a1),x94734),f775(f775(f82(a1),f775(f775(f82(a1),x94735),x94733)),x94731)))
% 184.29/184.10 [9554]~P1(f775(f775(f279(a1),x95544),x95543))+P1(f775(f775(f334(a1),f365(x95541,x95542,x95543,x95544,x95545)),x95542))+~P1(f775(f775(f279(a1),x95544),f775(f775(f82(a1),x95545),x95541)))+P1(f775(f775(f279(a1),x95544),f775(f775(f82(a1),f775(f775(f82(a1),x95545),x95543)),x95541)))
% 184.29/184.10 [9555]~P1(f775(f775(f279(a1),x95554),x95553))+P1(f775(f775(f334(a1),f363(x95551,x95552,x95553,x95554,x95555)),x95552))+~P1(f775(f775(f279(a1),x95554),f775(f775(f82(a1),x95555),x95551)))+P1(f775(f775(f279(a1),x95554),f775(f775(f82(a1),f775(f775(f3(a1),x95555),x95553)),x95551)))
% 184.29/184.10 [9562]~P1(f775(f775(f279(a1),x95624),x95623))+P1(f775(f775(f334(a1),f366(x95621,x95622,x95623,x95624,x95625)),f295(a1,f80(a1),x95623)))+~P1(f775(f775(f279(a1),x95624),f775(f775(f82(a1),x95625),x95621)))+P1(f775(f775(f279(a1),x95624),f775(f775(f82(a1),f775(f775(f82(a1),x95625),x95623)),x95621)))
% 184.29/184.10 [9563]~P1(f775(f775(f279(a1),x95634),x95633))+P1(f775(f775(f334(a1),f364(x95631,x95632,x95633,x95634,x95635)),f295(a1,f80(a1),x95633)))+~P1(f775(f775(f279(a1),x95634),f775(f775(f82(a1),x95635),x95631)))+P1(f775(f775(f279(a1),x95634),f775(f775(f82(a1),f775(f775(f3(a1),x95635),x95633)),x95631)))
% 184.29/184.10 [9564]~P2(x95645)+~P78(x95645)+P1(f775(f775(f334(x95641),f440(x95642,x95643,x95644,x95641,x95645)),x95644))+P1(f775(f775(f232(x95645),f775(f775(f8(x95641,x95645),x95643),x95644)),f775(f775(f83(x95645),f775(f102(x95645),f775(f42(x95641),x95644))),x95642)))
% 184.29/184.10 [9565]~P1(f775(f775(f279(a1),x95654),x95653))+P1(f775(f775(f334(a1),f360(x95651,x95652,x95653,x95654,x95655)),x95652))+P1(f775(f775(f279(a1),x95654),f775(f775(f82(a1),x95655),x95651)))+~P1(f775(f775(f279(a1),x95654),f775(f775(f82(a1),f775(f775(f82(a1),x95655),x95653)),x95651)))
% 184.29/184.10 [9566]~P1(f775(f775(f279(a1),x95664),x95663))+P1(f775(f775(f334(a1),f367(x95661,x95662,x95663,x95664,x95665)),x95662))+P1(f775(f775(f279(a1),x95664),f775(f775(f82(a1),x95665),x95661)))+~P1(f775(f775(f279(a1),x95664),f775(f775(f82(a1),f775(f775(f3(a1),x95665),x95663)),x95661)))
% 184.29/184.10 [9567]~P1(f775(f775(f279(a1),x95671),x95675))+P1(f775(f775(f334(a1),f361(x95673,x95674,x95675,x95671,x95672)),f295(a1,f80(a1),x95675)))+P1(f775(f775(f279(a1),x95671),f775(f775(f82(a1),x95672),x95673)))+~P1(f775(f775(f279(a1),x95671),f775(f775(f82(a1),f775(f775(f82(a1),x95672),x95675)),x95673)))
% 184.29/184.10 [9568]~P1(f775(f775(f279(a1),x95681),x95685))+P1(f775(f775(f334(a1),f368(x95683,x95684,x95685,x95681,x95682)),f295(a1,f80(a1),x95685)))+P1(f775(f775(f279(a1),x95681),f775(f775(f82(a1),x95682),x95683)))+~P1(f775(f775(f279(a1),x95681),f775(f775(f82(a1),f775(f775(f3(a1),x95682),x95685)),x95683)))
% 184.29/184.10 [9732]~P2(x97321)+~P78(x97321)+~P1(f775(f775(f232(x97321),f775(x97323,f440(x97325,x97323,x97324,x97322,x97321))),x97325))+P1(f775(f775(f232(x97321),f775(f775(f8(x97322,x97321),x97323),x97324)),f775(f775(f83(x97321),f775(f102(x97321),f775(f42(x97322),x97324))),x97325)))
% 184.29/184.10 [8615]E(f775(f775(f125(x86151),x86152),x86153),f775(f775(f125(x86151),x86154),x86155))+~E(f775(f775(f159(x86151),f775(f181(f851(x86151)),x86152)),x86154),x86152)+~E(f775(f775(f125(x86151),f775(f775(f128(x86151),f775(f181(f851(x86151)),x86152)),x86154)),x86155),x86153)+P1(f775(f775(f232(a850),f775(f181(f851(x86151)),x86154)),f775(f181(f851(x86151)),x86152)))
% 184.29/184.10 [8728]E(f775(f775(f125(x87281),x87282),x87283),f775(f775(f125(x87281),x87284),x87285))+~E(f775(f775(f159(x87281),f775(f181(f851(x87281)),x87282)),x87284),x87282)+~E(x87283,f775(f775(f125(x87281),f775(f775(f128(x87281),f775(f181(f851(x87281)),x87282)),x87284)),x87285))+~P1(f775(f775(f232(a850),f775(f181(f851(x87281)),x87282)),f775(f181(f851(x87281)),x87284)))
% 184.29/184.11 [9884]~P1(f775(x98845,x98844))+~P1(f775(f63(x98842),f775(f256(x98842),x98845)))+P1(f775(f63(x98841),f775(f256(x98841),f775(f775(f9(x98841,x98842,a844),x98843),x98844))))+~P1(f775(f63(x98841),f775(f256(x98841),f775(f775(f10(f857(x98842,a844),a844,x98841),f89(x98842)),f775(f775(f10(f857(x98842,a844),f857(x98842,a844),x98841),f775(f20(x98842,a844,a844),f775(f775(f10(a844,f857(a844,a844),x98842),a331),x98845))),x98843)))))
% 184.29/184.11 [7910]~P39(x79102,x79103,x79104,x79106)+~P39(f35(x79101,x79102),x79106,x79104,x79105)+P39(f35(x79101,x79102),x79103,x79104,x79105)+~P1(f775(x79101,x79103))
% 184.29/184.11 [8422]~P23(x84225,x84221,x84226,x84222)+E(f775(f75(x84221,x84221,x84221,f775(x84222,x84223)),f775(x84222,x84224)),f775(f75(x84221,x84221,x84221,f775(x84222,x84224)),f775(x84222,x84223)))+~P1(f775(f63(x84225),x84224))+~P1(f775(f63(x84225),x84223))
% 184.29/184.11 [7820]~P29(x78201,x78202,x78204,x78203)+~E(f775(x78204,x78206),x78205)+E(f775(f79(x78201,x78202,x78203,x78204),x78205),x78206)+~P1(f775(f775(f334(x78201),x78206),x78203))
% 184.29/184.11 [8013]~P24(x80136,x80131,x80134,x80132)+E(f775(f75(x80131,x80131,x80131,f775(x80132,x80133)),f775(x80134,x80135)),f775(x80132,x80133))+~P1(f775(f63(x80136),x80133))+~P1(f775(f775(f334(x80136),x80135),x80133))
% 184.29/184.11 [9150]~P23(x91503,x91501,x91506,x91502)+E(f775(f75(x91501,x91501,x91501,f775(x91502,f775(f775(f3(f857(x91503,a844)),x91504),f775(f775(f302(x91503),x91505),f180(f857(x91503,a844)))))),f775(x91506,x91505)),f775(x91502,x91504))+~P1(f775(f63(x91503),x91504))+~P1(f775(f775(f334(x91503),x91505),x91504))
% 184.29/184.11 [6875]~P7(x68751)+~E(f52(x68751,x68753,x68754),f52(x68751,x68756,x68754))+~E(f52(x68751,x68752,x68754),f52(x68751,x68755,x68754))+E(f52(x68751,f775(f775(f82(x68751),x68752),x68753),x68754),f52(x68751,f775(f775(f82(x68751),x68755),x68756),x68754))
% 184.29/184.11 [6876]~P7(x68761)+~E(f52(x68761,x68763,x68764),f52(x68761,x68766,x68764))+~E(f52(x68761,x68762,x68764),f52(x68761,x68765,x68764))+E(f52(x68761,f775(f775(f83(x68761),x68762),x68763),x68764),f52(x68761,f775(f775(f83(x68761),x68765),x68766),x68764))
% 184.29/184.11 [6877]~P8(x68771)+~E(f52(x68771,x68773,x68774),f52(x68771,x68776,x68774))+~E(f52(x68771,x68772,x68774),f52(x68771,x68775,x68774))+E(f52(x68771,f775(f775(f3(x68771),x68772),x68773),x68774),f52(x68771,f775(f775(f3(x68771),x68775),x68776),x68774))
% 184.29/184.11 [7711]~P20(x77111,x77112,x77113)+~P1(f775(f63(x77111),x77116))+E(f775(f775(f66(x77111,x77112,x77113),x77114),f775(f775(f302(x77111),x77115),x77116)),f775(f775(f66(x77111,x77112,x77113),f775(f775(x77113,x77115),x77114)),x77116))+P1(f775(f775(f334(x77111),x77115),x77116))
% 184.29/184.11 [7778]~P9(x77781)+P1(f775(f775(f232(x77781),x77782),f775(x77783,x77784)))+~P1(f775(f775(f334(x77785),x77784),x77786))+~P1(f775(f775(f232(x77781),x77782),f775(f775(f47(x77785,x77781),x77786),x77783)))
% 184.29/184.11 [7938]~P20(x79381,x79382,x79383)+~P1(f775(f63(x79381),x79386))+E(f775(f775(f66(x79381,x79382,x79383),x79384),f775(f775(f302(x79381),x79385),x79386)),f775(f775(x79383,x79385),f775(f775(f66(x79381,x79382,x79383),x79384),x79386)))+P1(f775(f775(f334(x79381),x79385),x79386))
% 184.29/184.11 [8029]~P100(x80293)+~P1(f775(x80292,x80295))+~P18(x80293,f775(f775(f143(x80291,x80293),x80294),x80296))+E(f775(f126(x80291,x80292),f775(f775(f138(x80291,x80293,x80294),x80295),x80296)),f775(f775(f138(x80291,x80293,x80294),x80295),f775(f126(x80291,x80292),x80296)))
% 184.29/184.11 [8052]E(x80521,x80522)+E(x80523,f2(a1))+~P1(f775(f56(x80524,x80523),f775(f775(f241(a1,a1),x80525),x80522)))+~P1(f775(f56(x80524,x80523),f775(f775(f241(a1,a1),x80526),x80521)))
% 184.29/184.11 [8053]E(x80531,x80532)+E(x80533,f2(a1))+~P1(f775(f56(x80534,x80533),f775(f775(f241(a1,a1),x80532),x80535)))+~P1(f775(f56(x80534,x80533),f775(f775(f241(a1,a1),x80531),x80536)))
% 184.29/184.11 [8075]~P23(x80752,x80755,x80756,x80751)+~P1(f775(f63(x80752),x80754))+E(f775(x80751,f775(f775(f302(x80752),x80753),x80754)),f775(f75(x80755,x80755,x80755,f775(x80751,x80754)),f775(x80756,x80753)))+P1(f775(f775(f334(x80752),x80753),x80754))
% 184.29/184.11 [8289]~P24(x82895,x82891,x82896,x82892)+E(f775(f75(x82891,x82891,x82891,f775(x82892,x82893)),f775(x82892,x82894)),f775(x82892,x82893))+~P1(f775(f63(x82895),x82893))+~P1(f775(f775(f232(f857(x82895,a844)),x82894),x82893))
% 184.29/184.11 [9340]~P29(x93401,x93402,x93404,x93403)+~P1(f775(f775(f334(x93402),x93405),f775(f303(x93401,x93402,x93404),x93403)))+P1(f775(f775(f334(x93401),f775(f79(x93401,x93402,x93403,x93404),x93405)),x93406))+~P1(f775(f775(f232(f857(x93401,a844)),x93403),x93406))
% 184.29/184.11 [9683]~P66(x96832)+~E(f495(x96831,x96833,x96835,x96836,x96834,x96832),f496(x96831,x96833,x96835,x96836,x96834,x96832))+~P1(f775(f63(x96834),x96836))+E(f775(f775(f8(x96831,x96832),x96833),f775(f303(x96834,x96831,x96835),x96836)),f775(f775(f8(x96834,x96832),f775(f75(x96831,x96832,x96834,x96833),x96835)),x96836))
% 184.29/184.11 [9712]~P66(x97126)+E(f775(x97121,f495(x97122,x97123,x97121,x97124,x97125,x97126)),f775(x97121,f496(x97122,x97123,x97121,x97124,x97125,x97126)))+E(f775(f775(f8(x97122,x97126),x97123),f775(f303(x97125,x97122,x97121),x97124)),f775(f775(f8(x97125,x97126),f775(f75(x97122,x97126,x97125,x97123),x97121)),x97124))+~P1(f775(f63(x97125),x97124))
% 184.29/184.11 [9766]~P66(x97662)+~E(f775(x97663,f775(x97665,f496(x97661,x97663,x97665,x97666,x97664,x97662))),f2(x97662))+~P1(f775(f63(x97664),x97666))+E(f775(f775(f8(x97661,x97662),x97663),f775(f303(x97664,x97661,x97665),x97666)),f775(f775(f8(x97664,x97662),f775(f75(x97661,x97662,x97664,x97663),x97665)),x97666))
% 184.29/184.11 [9826]~P66(x98262)+~P1(f775(f63(x98264),x98266))+E(f775(f775(f8(x98261,x98262),x98263),f775(f303(x98264,x98261,x98265),x98266)),f775(f775(f8(x98264,x98262),f775(f75(x98261,x98262,x98264,x98263),x98265)),x98266))+P1(f775(f775(f334(x98264),f496(x98261,x98263,x98265,x98266,x98264,x98262)),x98266))
% 184.29/184.11 [9827]~P66(x98272)+~P1(f775(f63(x98274),x98276))+E(f775(f775(f8(x98271,x98272),x98273),f775(f303(x98274,x98271,x98275),x98276)),f775(f775(f8(x98274,x98272),f775(f75(x98271,x98272,x98274,x98273),x98275)),x98276))+P1(f775(f775(f334(x98274),f495(x98271,x98273,x98275,x98276,x98274,x98272)),x98276))
% 184.29/184.11 [9949]~P70(x99491)+~P1(f775(f63(x99492),x99496))+E(f775(f775(f775(f67(x99491,x99492,f83(x99491)),f775(f775(f20(x99492,f857(x99493,a844),x99491),f775(f775(f9(x99492,x99491,f857(f857(x99493,a844),x99491)),f775(f775(f10(f857(x99493,x99491),f857(x99491,f857(f857(x99493,a844),x99491)),x99492),f67(x99491,x99493,f83(x99491))),x99494)),f80(x99491))),x99495)),f80(x99491)),x99496),f775(f775(f775(f67(x99491,f856(x99492,x99493),f83(x99491)),f775(f251(x99492,x99493,x99491),x99494)),f80(x99491)),f775(f775(f248(x99492,x99493),x99496),x99495)))+P1(f775(f775(f334(x99492),f564(x99494,x99495,x99493,x99496,x99492,x99491)),x99496))
% 184.29/184.11 [9965]~P70(x99651)+~P1(f775(f63(x99652),x99656))+E(f775(f775(f775(f67(x99651,x99652,f83(x99651)),f775(f775(f20(x99652,f857(x99653,a844),x99651),f775(f775(f9(x99652,x99651,f857(f857(x99653,a844),x99651)),f775(f775(f10(f857(x99653,x99651),f857(x99651,f857(f857(x99653,a844),x99651)),x99652),f67(x99651,x99653,f83(x99651))),x99654)),f80(x99651))),x99655)),f80(x99651)),x99656),f775(f775(f775(f67(x99651,f856(x99652,x99653),f83(x99651)),f775(f251(x99652,x99653,x99651),x99654)),f80(x99651)),f775(f775(f248(x99652,x99653),x99656),x99655)))+~P1(f775(f63(x99653),f775(x99655,f564(x99654,x99655,x99653,x99656,x99652,x99651))))
% 184.29/184.11 [8204]~P24(x82042,x82045,x82046,x82041)+~P1(f775(f63(x82042),x82044))+~P1(f775(f63(x82042),x82043))+E(f775(x82041,f775(f775(f103(f857(x82042,a844)),x82043),x82044)),f775(f75(x82045,x82045,x82045,f775(x82041,x82043)),f775(x82041,x82044)))
% 184.29/184.11 [8424]~P9(x84241)+P1(f775(f775(f232(x84241),f775(x84242,x84243)),x84244))+~P1(f775(f775(f334(x84245),x84243),x84246))+~P1(f775(f775(f232(x84241),f775(f775(f46(x84245,x84241),x84246),x84242)),x84244))
% 184.29/184.11 [8798]~P29(x87982,x87981,x87983,x87986)+E(f775(f775(f3(f857(x87981,a844)),f775(f303(x87982,x87981,x87983),x87984)),f775(f303(x87982,x87981,x87983),x87985)),f775(f303(x87982,x87981,x87983),f775(f775(f3(f857(x87982,a844)),x87984),x87985)))+~P1(f775(f775(f232(f857(x87982,a844)),x87985),x87986))+~P1(f775(f775(f232(f857(x87982,a844)),x87984),x87986))
% 184.29/184.11 [8799]~P29(x87992,x87991,x87993,x87996)+E(f775(f775(f104(f857(x87991,a844)),f775(f303(x87992,x87991,x87993),x87994)),f775(f303(x87992,x87991,x87993),x87995)),f775(f303(x87992,x87991,x87993),f775(f775(f104(f857(x87992,a844)),x87994),x87995)))+~P1(f775(f775(f232(f857(x87992,a844)),x87995),x87996))+~P1(f775(f775(f232(f857(x87992,a844)),x87994),x87996))
% 184.29/184.11 [9043]E(x90431,x90432)+~P53(x90433,x90434,x90435)+~P1(f775(f775(f334(f856(x90433,x90434)),f775(f775(f241(x90433,x90434),x90436),x90432)),x90435))+~P1(f775(f775(f334(f856(x90433,x90434)),f775(f775(f241(x90433,x90434),x90436),x90431)),x90435))
% 184.29/184.11 [9623]~P66(x96231)+~P1(f775(f63(x96233),x96236))+~P1(f775(f63(x96232),x96235))+E(f775(f775(f82(x96231),f775(f775(f8(x96232,x96231),f775(f75(f858(x96232,x96233),x96231,x96232,x96234),f304(x96232,x96233))),x96235)),f775(f775(f8(x96233,x96231),f775(f75(f858(x96232,x96233),x96231,x96233,x96234),f313(x96233,x96232))),x96236)),f775(f775(f8(f858(x96232,x96233),x96231),x96234),f314(x96232,x96233,x96235,x96236)))
% 184.29/184.11 [9762]~P64(x97621)+~E(f775(x97623,f630(x97624,x97626,x97623,x97625,x97622,x97621)),f775(x97626,f630(x97624,x97626,x97623,x97625,x97622,x97621)))+~P1(f775(f63(x97622),x97625))+E(f775(f775(f775(f67(x97621,x97622,f83(x97621)),x97623),x97624),x97625),f775(f775(f775(f67(x97621,x97622,f83(x97621)),x97626),x97624),x97625))
% 184.29/184.11 [9823]~P64(x98231)+~P1(f775(f63(x98232),x98235))+E(f775(f775(f775(f67(x98231,x98232,f83(x98231)),x98233),x98234),x98235),f775(f775(f775(f67(x98231,x98232,f83(x98231)),x98236),x98234),x98235))+P1(f775(f775(f334(x98232),f630(x98234,x98233,x98236,x98235,x98232,x98231)),x98235))
% 184.29/184.11 [8628]~P64(x86281)+~P1(f775(f63(x86282),x86286))+P1(f775(f775(f334(x86282),x86285),x86286))+E(f775(f775(f775(f67(x86281,x86282,f83(x86281)),x86283),x86284),f775(f775(f302(x86282),x86285),x86286)),f775(f775(f83(x86281),f775(x86283,x86285)),f775(f775(f775(f67(x86281,x86282,f83(x86281)),x86283),x86284),x86286)))
% 184.29/184.11 [8672]~P12(x86721,x86726,x86723)+~P16(x86721,f857(x86722,a844),x86723,x86725)+~P1(f775(f775(f334(x86721),x86724),x86726))+E(f775(f775(f46(x86721,f857(x86722,a844)),f775(f277(x86721,x86721,x86723),f775(f775(f302(x86721),x86724),f180(f857(x86721,a844))))),x86725),f775(x86725,x86724))
% 184.29/184.11 [8780]~P20(x87803,x87804,x87801)+~P1(f775(f63(x87803),x87806))+~P1(f775(f775(f334(x87803),x87802),x87806))+E(f775(f775(x87801,x87802),f775(f775(f66(x87803,x87804,x87801),x87805),f775(f775(f3(f857(x87803,a844)),x87806),f775(f775(f302(x87803),x87802),f180(f857(x87803,a844)))))),f775(f775(f66(x87803,x87804,x87801),x87805),x87806))
% 184.29/184.11 [9053]~P23(x90533,x90531,x90536,x90532)+~P1(f775(f63(x90533),x90535))+~P1(f775(f63(x90533),x90534))+E(f775(f75(x90531,x90531,x90531,f775(x90532,f775(f775(f103(f857(x90533,a844)),x90534),x90535))),f775(x90532,f775(f775(f104(f857(x90533,a844)),x90534),x90535))),f775(f75(x90531,x90531,x90531,f775(x90532,x90534)),f775(x90532,x90535)))
% 184.29/184.11 [9360]~E(x93603,f775(f775(f148(x93601,x93602),x93605),x93606))+P1(f775(f775(f334(f856(f851(x93601),f851(x93601))),f775(f775(f241(f851(x93601),f851(x93601)),x93602),x93603)),f146(x93601,x93604)))+~P1(f775(f775(f233(a850),x93605),f775(f181(f851(x93601)),x93602)))+~P1(f775(f775(f334(f856(x93601,x93601)),f775(f775(f241(x93601,x93601),f775(f775(f153(x93601),x93602),x93605)),x93606)),x93604))
% 184.29/184.11 [9842]~P66(x98422)+~P1(f775(f63(x98421),x98426))+P1(f775(f775(f334(x98421),f563(x98424,x98425,x98423,x98426,x98421,x98422)),x98426))+E(f775(f775(f8(x98421,x98422),f775(f775(f20(x98421,f857(x98423,a844),x98422),f775(f775(f10(f857(x98423,x98422),f857(f857(x98423,a844),x98422),x98421),f8(x98423,x98422)),x98424)),x98425)),x98426),f775(f775(f8(f856(x98421,x98423),x98422),f775(f251(x98421,x98423,x98422),x98424)),f775(f775(f248(x98421,x98423),x98426),x98425)))
% 184.29/184.11 [9843]~P70(x98432)+~P1(f775(f63(x98431),x98436))+P1(f775(f775(f334(x98431),f556(x98434,x98435,x98433,x98436,x98431,x98432)),x98436))+E(f775(f775(f11(x98431,x98432),f775(f775(f20(x98431,f857(x98433,a844),x98432),f775(f775(f10(f857(x98433,x98432),f857(f857(x98433,a844),x98432),x98431),f11(x98433,x98432)),x98434)),x98435)),x98436),f775(f775(f11(f856(x98431,x98433),x98432),f775(f251(x98431,x98433,x98432),x98434)),f775(f775(f248(x98431,x98433),x98436),x98435)))
% 184.29/184.11 [9882]~P66(x98822)+~P1(f775(f63(x98821),x98826))+~P1(f775(f63(x98823),f775(x98825,f563(x98824,x98825,x98823,x98826,x98821,x98822))))+E(f775(f775(f8(x98821,x98822),f775(f775(f20(x98821,f857(x98823,a844),x98822),f775(f775(f10(f857(x98823,x98822),f857(f857(x98823,a844),x98822),x98821),f8(x98823,x98822)),x98824)),x98825)),x98826),f775(f775(f8(f856(x98821,x98823),x98822),f775(f251(x98821,x98823,x98822),x98824)),f775(f775(f248(x98821,x98823),x98826),x98825)))
% 184.29/184.11 [9883]~P70(x98832)+~P1(f775(f63(x98831),x98836))+~P1(f775(f63(x98833),f775(x98835,f556(x98834,x98835,x98833,x98836,x98831,x98832))))+E(f775(f775(f11(x98831,x98832),f775(f775(f20(x98831,f857(x98833,a844),x98832),f775(f775(f10(f857(x98833,x98832),f857(f857(x98833,a844),x98832),x98831),f11(x98833,x98832)),x98834)),x98835)),x98836),f775(f775(f11(f856(x98831,x98833),x98832),f775(f251(x98831,x98833,x98832),x98834)),f775(f775(f248(x98831,x98833),x98836),x98835)))
% 184.29/184.11 [9865]~P70(x98652)+~P1(f775(f63(x98651),x98656))+P1(f775(f775(f334(x98651),x98653),x98656))+E(f775(f775(f11(x98651,x98652),f775(f775(f9(x98651,x98652,x98652),f775(f775(f20(x98651,x98652,f857(x98652,x98652)),f775(f775(f10(a844,f857(x98652,f857(x98652,x98652)),x98651),f98(x98652)),f775(f775(f9(x98651,x98651,a844),a330),x98653))),x98654)),x98655)),x98656),f775(f775(f242(x98652),x98655),f775(f42(x98651),x98656)))
% 184.29/184.11 [9870]~P70(x98702)+~P1(f775(f63(x98701),x98706))+~P1(f775(f775(f334(x98701),x98703),x98706))+E(f775(f775(f11(x98701,x98702),f775(f775(f9(x98701,x98702,x98702),f775(f775(f20(x98701,x98702,f857(x98702,x98702)),f775(f775(f10(a844,f857(x98702,f857(x98702,x98702)),x98701),f98(x98702)),f775(f775(f9(x98701,x98701,a844),a330),x98703))),x98704)),x98705)),x98706),f775(f775(f83(x98702),f775(x98704,x98703)),f775(f775(f242(x98702),x98705),f775(f775(f3(a850),f775(f42(x98701),x98706)),f80(a850)))))
% 184.29/184.11 [9936]~P1(f775(f63(x99361),x99365))+~P1(f775(f63(x99362),x99363))+P1(f775(f775(f334(x99362),f586(x99366,x99364,x99363,x99362,x99365,x99361)),x99363))+E(f775(f775(f8(x99361,a850),f775(f775(f10(f857(x99362,a844),a850,x99361),f42(x99362)),f775(f775(f10(f857(x99362,a844),f857(x99362,a844),x99361),f256(x99362)),f775(f775(f10(f857(x99362,a844),f857(x99362,a844),x99361),f775(f20(x99362,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99362),a331),f775(f775(f9(x99362,f857(x99362,a844),a844),f334(x99362)),x99363)))),x99364)))),x99365),f775(f775(f83(a850),x99366),f775(f42(x99362),x99363)))
% 184.29/184.11 [9937]~P1(f775(f63(x99371),x99375))+~P1(f775(f63(x99372),x99373))+P1(f775(f775(f334(x99372),f587(x99376,x99374,x99373,x99372,x99375,x99371)),x99373))+E(f775(f775(f8(x99371,a850),f775(f775(f10(f857(x99372,a844),a850,x99371),f42(x99372)),f775(f775(f10(f857(x99372,a844),f857(x99372,a844),x99371),f256(x99372)),f775(f775(f10(f857(x99372,a844),f857(x99372,a844),x99371),f775(f20(x99372,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99372),a331),f775(f775(f9(x99372,f857(x99372,a844),a844),f334(x99372)),x99373)))),x99374)))),x99375),f775(f775(f8(x99372,a850),x99376),x99373))
% 184.29/184.11 [9971]~P1(f775(f63(x99712),x99713))+~P1(f775(f63(x99711),x99715))+~E(f775(f42(x99711),f775(f256(x99711),f775(f775(f20(x99711,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99711),a331),f775(f775(f9(x99711,f857(x99711,a844),a844),f334(x99711)),x99715))),f775(f775(f9(x99711,x99712,a844),x99714),f586(x99716,x99714,x99713,x99712,x99715,x99711))))),x99716)+E(f775(f775(f8(x99711,a850),f775(f775(f10(f857(x99712,a844),a850,x99711),f42(x99712)),f775(f775(f10(f857(x99712,a844),f857(x99712,a844),x99711),f256(x99712)),f775(f775(f10(f857(x99712,a844),f857(x99712,a844),x99711),f775(f20(x99712,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99712),a331),f775(f775(f9(x99712,f857(x99712,a844),a844),f334(x99712)),x99713)))),x99714)))),x99715),f775(f775(f83(a850),x99716),f775(f42(x99712),x99713)))
% 184.29/184.11 [9973]~P1(f775(f63(x99732),x99733))+~P1(f775(f63(x99731),x99735))+~E(f775(f42(x99731),f775(f256(x99731),f775(f775(f20(x99731,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99731),a331),f775(f775(f9(x99731,f857(x99731,a844),a844),f334(x99731)),x99735))),f775(f775(f9(x99731,x99732,a844),x99734),f587(x99736,x99734,x99733,x99732,x99735,x99731))))),f775(x99736,f587(x99736,x99734,x99733,x99732,x99735,x99731)))+E(f775(f775(f8(x99731,a850),f775(f775(f10(f857(x99732,a844),a850,x99731),f42(x99732)),f775(f775(f10(f857(x99732,a844),f857(x99732,a844),x99731),f256(x99732)),f775(f775(f10(f857(x99732,a844),f857(x99732,a844),x99731),f775(f20(x99732,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99732),a331),f775(f775(f9(x99732,f857(x99732,a844),a844),f334(x99732)),x99733)))),x99734)))),x99735),f775(f775(f8(x99732,a850),x99736),x99733))
% 184.29/184.11 [9622]E(x96221,x96222)+~P20(x96223,x96224,x96225)+~P1(f775(f68(x96223,x96224,x96225,x96226,x96227),x96222))+~P1(f775(f68(x96223,x96224,x96225,x96226,x96227),x96221))
% 184.29/184.11 [9432]P1(f775(x94321,x94322))+~P1(f775(f775(f334(x94327),x94322),f775(x94326,x94324)))+~P1(f775(x94321,f387(x94321,x94326,x94325,x94323,x94327)))+~P1(f775(f775(f334(x94323),x94324),x94325))
% 184.29/184.11 [9857]~P20(x98577,x98576,x98571)+E(f775(f775(x98571,x98572),f663(x98572,x98573,x98574,x98575,x98571,x98576,x98577)),x98573)+~P1(f775(f68(x98577,x98576,x98571,x98575,x98574),x98573))+~P1(f775(f775(f334(x98577),x98572),x98574))
% 184.29/184.11 [9921]~P20(x99211,x99212,x99213)+~P1(f775(f68(x99211,x99212,x99213,x99214,x99215),x99217))+P1(f775(f68(x99211,x99212,x99213,x99214,f775(f775(f3(f857(x99211,a844)),x99215),f775(f775(f302(x99211),x99216),f180(f857(x99211,a844))))),f663(x99216,x99217,x99215,x99214,x99213,x99212,x99211)))+~P1(f775(f775(f334(x99211),x99216),x99215))
% 184.29/184.11 [9336]~P64(x93361)+~P29(x93365,x93362,x93366,x93367)+~P1(f775(f63(x93365),x93367))+E(f775(f775(f775(f67(x93361,x93362,f83(x93361)),x93363),x93364),f775(f303(x93365,x93362,x93366),x93367)),f775(f775(f775(f67(x93361,x93365,f83(x93361)),f775(f75(x93362,x93361,x93365,x93363),x93366)),x93364),x93367))
% 184.29/184.11 [9454]~E(f775(f775(f302(x94541),x94545),x94546),f775(f775(f302(x94541),x94542),x94543))+~P1(f775(f68(x94541,x94541,x94544,x94542,x94543),x94547))+P1(f775(f775(f334(x94541),x94542),x94543))+P1(f775(f64(x94541,x94544,f775(f775(f302(x94541),x94545),x94546)),x94547))
% 184.29/184.11 [9533]P1(f775(x95331,x95332))+~P1(f775(f775(f334(x95333),x95332),f775(x95334,x95337)))+~P1(f775(f775(f334(x95336),x95337),x95335))+P1(f775(f775(f334(x95333),f387(x95331,x95334,x95335,x95336,x95333)),f775(f775(f46(x95336,f857(x95333,a844)),x95335),x95334)))
% 184.29/184.11 [9546]~P29(x95462,x95461,x95465,x95464)+~P29(x95461,x95463,x95466,f775(f303(x95462,x95461,x95465),x95464))+E(f775(f775(f75(x95461,x95462,x95463,f79(x95462,x95461,x95464,x95465)),f79(x95461,x95463,f775(f303(x95462,x95461,x95465),x95464),x95466)),x95467),f775(f79(x95462,x95463,x95464,f775(f75(x95461,x95463,x95462,x95466),x95465)),x95467))+~P1(f775(f775(f334(x95463),x95467),f775(f303(x95461,x95463,x95466),f775(f303(x95462,x95461,x95465),x95464))))
% 184.29/184.11 [9858]~P20(x98587,x98586,x98581)+E(f775(f775(x98581,x98582),f691(x98583,x98584,x98582,x98585,x98581,x98586,x98587)),x98583)+P1(f775(f775(f334(x98587),x98582),x98584))+~P1(f775(f68(x98587,x98586,x98581,x98585,f775(f775(f302(x98587),x98582),x98584)),x98583))
% 184.29/184.11 [9920]~P20(x99201,x99204,x99205)+P1(f775(f68(x99201,x99204,x99205,x99206,x99203),f691(x99207,x99203,x99202,x99206,x99205,x99204,x99201)))+P1(f775(f775(f334(x99201),x99202),x99203))+~P1(f775(f68(x99201,x99204,x99205,x99206,f775(f775(f302(x99201),x99202),x99203)),x99207))
% 184.29/184.11 [9605]E(x96051,f2(a1))+~P1(f775(f56(x96053,x96051),f775(f775(f241(a1,a1),x96055),x96057)))+~P1(f775(f56(x96052,x96051),f775(f775(f241(a1,a1),x96054),x96056)))+P1(f775(f56(f775(f775(f82(a1),x96052),x96053),x96051),f775(f775(f241(a1,a1),f775(f775(f82(a1),f775(f775(f82(a1),x96054),x96055)),f775(f775(f43(a1),f775(f775(f82(a1),x96056),x96057)),x96051))),f52(a1,f775(f775(f82(a1),x96056),x96057),x96051))))
% 184.29/184.11 [9607]~P1(f775(f775(f233(a850),f2(a850)),x96073))+~P1(f775(f55(x96072,x96073),f775(f775(f241(a850,a850),x96075),x96077)))+~P1(f775(f55(x96071,x96073),f775(f775(f241(a850,a850),x96074),x96076)))+P1(f775(f55(f775(f775(f82(a850),x96071),x96072),x96073),f775(f775(f241(a850,a850),f775(f775(f82(a850),f775(f775(f82(a850),x96074),x96075)),f775(f775(f43(a850),f775(f775(f82(a850),x96076),x96077)),x96073))),f52(a850,f775(f775(f82(a850),x96076),x96077),x96073))))
% 184.29/184.11 [9970]~P66(x99702)+~P1(f775(f63(x99703),x99705))+~P1(f775(f63(x99701),x99707))+E(f775(f775(f8(x99701,x99702),f775(f775(f20(x99701,f857(x99703,a844),x99702),f775(f775(f10(f857(x99703,x99702),f857(f857(x99703,a844),x99702),x99701),f8(x99703,x99702)),x99704)),f775(f775(f10(f857(x99703,a844),f857(x99703,a844),x99701),f256(x99703)),f775(f775(f10(f857(x99703,a844),f857(x99703,a844),x99701),f775(f20(x99703,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99703),a331),f775(f775(f9(x99703,f857(x99703,a844),a844),f334(x99703)),x99705)))),x99706)))),x99707),f775(f775(f8(x99703,x99702),f775(f775(f20(x99703,f857(x99701,a844),x99702),f775(f775(f10(f857(x99701,x99702),f857(f857(x99701,a844),x99702),x99703),f8(x99701,x99702)),f775(f9(x99701,x99703,x99702),x99704))),f775(f775(f10(f857(x99701,a844),f857(x99701,a844),x99703),f256(x99701)),f775(f775(f10(f857(x99701,a844),f857(x99701,a844),x99703),f775(f20(x99701,a844,a844),f775(f775(f10(a844,f857(a844,a844),x99701),a331),f775(f775(f9(x99701,f857(x99701,a844),a844),f334(x99701)),x99707)))),f775(f9(x99701,x99703,a844),x99706))))),x99705))
% 184.29/184.11 [9492]~P26(x94927,x94926,x94921,x94928,x94922,x94924)+E(f775(f775(x94921,f775(x94922,x94923)),f775(x94924,x94925)),f775(x94924,x94925))+~P1(f775(f63(x94926),x94925))+~P1(f775(f775(f334(x94926),x94923),x94925))
% 184.29/184.11 [9496]~P17(x94966,x94961,x94962,x94968,x94963,x94964)+~P12(x94966,x94967,x94968)+P16(x94961,x94962,x94963,f775(x94964,x94965))+~P1(f775(f775(f334(x94966),x94965),x94967))
% 184.29/184.11 [7738]~P39(x77384,x77385,x77386,x77383)+~P31(x77388,x77386,f775(f775(f775(f93(x77388),x77387),x77384),x77381))+P1(f775(f775(x77381,x77382),x77383))+~P1(f775(f775(x77387,x77382),x77385))
% 184.29/184.11 [9140]~P23(x91407,x91401,x91408,x91403)+~P1(f775(f63(x91407),x91405))+~P1(f775(f63(x91407),x91404))+E(f775(f75(x91401,x91401,x91402,f775(x91403,x91404)),f775(f75(x91401,x91401,x91402,f775(x91403,x91405)),x91406)),f775(f75(x91401,x91401,x91402,f775(x91403,x91405)),f775(f75(x91401,x91401,x91402,f775(x91403,x91404)),x91406)))
% 184.29/184.11 [9207]~P29(x92072,x92072,x92075,x92076)+~P25(x92073,x92072,x92077,x92078,x92071)+~P1(f775(f63(x92072),x92076))+E(f775(f775(x92071,f775(f75(x92072,x92073,x92072,x92074),x92075)),x92076),f775(f775(x92071,x92074),f775(f303(x92072,x92072,x92075),x92076)))
% 184.29/184.11 [9494]~P27(x94947,x94942,x94945,x94948,x94946,x94941)+~P1(f775(f63(x94942),x94944))+E(f775(x94941,f775(f775(f302(x94942),x94943),x94944)),f775(f775(x94945,f775(x94946,x94943)),f775(x94941,x94944)))+P1(f775(f775(f334(x94942),x94943),x94944))
% 184.29/184.11 [9501]~P26(x95016,x95015,x95011,x95017,x95018,x95012)+E(f775(f775(x95011,f775(x95012,x95013)),f775(x95012,x95014)),f775(x95012,x95014))+~P1(f775(f63(x95015),x95014))+~P1(f775(f775(f232(f857(x95015,a844)),x95013),x95014))
% 184.29/184.11 [9127]P1(f775(f775(f334(f856(f851(x91271),f851(x91271))),f775(f775(f241(f851(x91271),f851(x91271)),x91272),x91273)),f146(x91271,x91274)))+~E(x91273,f775(f775(f125(x91271),x91275),f775(f775(f140(x91271),x91276),x91277)))+~E(x91272,f775(f775(f125(x91271),x91275),f775(f775(f140(x91271),x91278),x91277)))+~P1(f775(f775(f334(f856(x91271,x91271)),f775(f775(f241(x91271,x91271),x91278),x91276)),x91274))
% 184.29/184.11 [9497]~P26(x94976,x94972,x94975,x94977,x94978,x94971)+~P1(f775(f63(x94972),x94974))+~P1(f775(f63(x94972),x94973))+E(f775(x94971,f775(f775(f103(f857(x94972,a844)),x94973),x94974)),f775(f775(x94975,f775(x94971,x94973)),f775(x94971,x94974)))
% 184.29/184.11 [10010]~P29(x100104,x100102,x100105,x100108)+E(f775(f775(f47(x100101,f857(x100102,a844)),x100103),f775(f775(f10(f857(x100104,a844),f857(x100102,a844),x100101),f303(x100104,x100102,x100105)),x100106)),f775(f303(x100104,x100102,x100105),f775(f775(f47(x100101,f857(x100104,a844)),x100103),x100106)))+~P1(f775(f775(f334(x100101),x100107),x100103))+P1(f775(f775(f334(x100101),f678(x100107,x100106,x100103,x100101,x100108,x100105,x100102,x100104)),x100103))
% 184.29/184.11 [10028]~P29(x100284,x100282,x100285,x100287)+E(f775(f775(f47(x100281,f857(x100282,a844)),x100283),f775(f775(f10(f857(x100284,a844),f857(x100282,a844),x100281),f303(x100284,x100282,x100285)),x100286)),f775(f303(x100284,x100282,x100285),f775(f775(f47(x100281,f857(x100284,a844)),x100283),x100286)))+~P1(f775(f775(f334(x100281),x100288),x100283))+~P1(f775(f775(f232(f857(x100284,a844)),f775(x100286,f678(x100288,x100286,x100283,x100281,x100287,x100285,x100282,x100284))),x100287))
% 184.29/184.11 [9551]~P27(x95517,x95515,x95511,x95518,x95512,x95514)+~P1(f775(f63(x95515),x95516))+~P1(f775(f775(f334(x95515),x95513),x95516))+E(f775(f775(x95511,f775(x95512,x95513)),f775(x95514,f775(f775(f3(f857(x95515,a844)),x95516),f775(f775(f302(x95515),x95513),f180(f857(x95515,a844)))))),f775(x95514,x95516))
% 184.29/184.11 [9560]~P27(x95606,x95603,x95601,x95607,x95608,x95602)+~P1(f775(f63(x95603),x95605))+~P1(f775(f63(x95603),x95604))+E(f775(f775(x95601,f775(x95602,f775(f775(f103(f857(x95603,a844)),x95604),x95605))),f775(x95602,f775(f775(f104(f857(x95603,a844)),x95604),x95605))),f775(f775(x95601,f775(x95602,x95604)),f775(x95602,x95605)))
% 184.29/184.11 [9642]P41(x96421,x96422,x96423,x96424,x96425,f775(f775(x96423,x96426),x96427))+~P41(x96421,x96422,x96423,x96424,f775(f775(f3(f857(x96421,a844)),x96425),f775(f775(f302(x96421),x96428),f180(f857(x96421,a844)))),x96429)+~E(f775(f775(x96423,x96426),x96427),f775(f775(x96423,x96428),x96429))+~P1(f775(f775(f334(x96421),x96428),x96425))
% 184.29/184.11 [10039]P28(x100391,x100392,f775(f775(f302(f849(x100391)),f775(f775(f775(f93(x100391),f775(x100393,f426(x100394,x100395,x100396,x100397,x100393,x100392,x100391,x100398,x100399))),f775(x100397,f426(x100394,x100395,x100396,x100397,x100393,x100392,x100391,x100398,x100399))),f775(x100396,f426(x100394,x100395,x100396,x100397,x100393,x100392,x100391,x100398,x100399)))),f180(f857(f849(x100391),a844))))+~P1(f775(f63(x100399),x100398))+~P28(x100391,x100392,f775(f303(x100399,f849(x100391),f775(f775(f20(x100399,f857(x100391,f857(a847,a844)),f849(x100391)),f775(f775(f20(x100399,a845,f857(f857(x100391,f857(a847,a844)),f849(x100391))),f775(f775(f10(f857(x100391,f857(a847,a844)),f857(a845,f857(f857(x100391,f857(a847,a844)),f849(x100391))),x100399),f93(x100391)),x100393)),x100397)),x100396)),x100398))+P28(x100391,x100392,f775(f303(x100399,f849(x100391),f775(f775(f20(x100399,f857(x100391,f857(a847,a844)),f849(x100391)),f775(f775(f20(x100399,a845,f857(f857(x100391,f857(a847,a844)),f849(x100391))),f775(f775(f10(f857(x100391,f857(a847,a844)),f857(a845,f857(f857(x100391,f857(a847,a844)),f849(x100391))),x100399),f93(x100391)),x100395)),x100397)),x100394)),x100398))
% 184.29/184.11 [10040]~P28(x100401,x100402,f775(f775(f302(f849(x100401)),f775(f775(f775(f93(x100401),f775(x100404,f426(x100406,x100404,x100408,x100405,x100409,x100402,x100401,x100407,x100403))),f775(x100405,f426(x100406,x100404,x100408,x100405,x100409,x100402,x100401,x100407,x100403))),f775(x100406,f426(x100406,x100404,x100408,x100405,x100409,x100402,x100401,x100407,x100403)))),f180(f857(f849(x100401),a844))))+~P1(f775(f63(x100403),x100407))+~P28(x100401,x100402,f775(f303(x100403,f849(x100401),f775(f775(f20(x100403,f857(x100401,f857(a847,a844)),f849(x100401)),f775(f775(f20(x100403,a845,f857(f857(x100401,f857(a847,a844)),f849(x100401))),f775(f775(f10(f857(x100401,f857(a847,a844)),f857(a845,f857(f857(x100401,f857(a847,a844)),f849(x100401))),x100403),f93(x100401)),x100409)),x100405)),x100408)),x100407))+P28(x100401,x100402,f775(f303(x100403,f849(x100401),f775(f775(f20(x100403,f857(x100401,f857(a847,a844)),f849(x100401)),f775(f775(f20(x100403,a845,f857(f857(x100401,f857(a847,a844)),f849(x100401))),f775(f775(f10(f857(x100401,f857(a847,a844)),f857(a845,f857(f857(x100401,f857(a847,a844)),f849(x100401))),x100403),f93(x100401)),x100404)),x100405)),x100406)),x100407))
% 184.29/184.11 [9584]~P17(x95846,x95847,x95848,x95849,x958410,x95841)+E(f775(f775(x95841,x95842),x95843),f775(f775(x95841,x95844),x95845))+~P1(f775(f775(f334(f856(x95847,x95847)),f775(f775(f241(x95847,x95847),x95843),x95845)),x958410))+~P1(f775(f775(f334(f856(x95846,x95846)),f775(f775(f241(x95846,x95846),x95842),x95844)),x95849))
% 184.29/184.11 [6804]E(x68041,x68042)+~P1(f775(f775(f232(a1),f2(a1)),x68042))+~P1(f775(f775(f232(a1),f2(a1)),x68041))+~P1(f775(f775(f279(a1),x68042),x68041))+~P1(f775(f775(f279(a1),x68041),x68042))
% 184.29/184.11 [9209]~P93(x92092)+E(x92091,f180(f857(x92092,a844)))+~P1(f775(f63(x92092),x92091))+P1(f775(f775(f334(x92092),f15(x92092,x92091)),x92091))+~P1(f775(f775(f334(x92092),f775(f775(f103(x92092),f443(x92091,x92092)),f444(x92091,x92092))),f775(f775(f302(x92092),f443(x92091,x92092)),f775(f775(f302(x92092),f444(x92091,x92092)),f180(f857(x92092,a844))))))
% 184.29/184.11 [9212]~P93(x92122)+E(x92121,f180(f857(x92122,a844)))+~P1(f775(f63(x92122),x92121))+P1(f775(f775(f334(x92122),f12(x92122,x92121)),x92121))+~P1(f775(f775(f334(x92122),f775(f775(f104(x92122),f516(x92121,x92122)),f518(x92121,x92122))),f775(f775(f302(x92122),f516(x92121,x92122)),f775(f775(f302(x92122),f518(x92121,x92122)),f180(f857(x92122,a844))))))
% 184.29/184.11 [9240]~P64(x92402)+E(x92401,f180(f857(x92402,a844)))+~P1(f775(f63(x92402),x92401))+P1(f775(f775(f334(x92402),f775(f65(x92402,f83(x92402)),x92401)),x92401))+~P1(f775(f775(f334(x92402),f775(f775(f83(x92402),f565(x92401,x92402)),f566(x92401,x92402))),f775(f775(f302(x92402),f565(x92401,x92402)),f775(f775(f302(x92402),f566(x92401,x92402)),f180(f857(x92402,a844))))))
% 184.29/184.11 [9246]~P100(x92462)+E(x92461,f180(f857(x92462,a844)))+~P1(f775(f63(x92462),x92461))+P1(f775(f775(f334(x92462),f13(x92462,f179(x92462),x92461)),x92461))+~P1(f775(f775(f334(x92462),f775(f775(f179(x92462),f452(x92461,x92462)),f455(x92461,x92462))),f775(f775(f302(x92462),f452(x92461,x92462)),f775(f775(f302(x92462),f455(x92461,x92462)),f180(f857(x92462,a844))))))
% 184.29/184.11 [9247]~P100(x92472)+E(x92471,f180(f857(x92472,a844)))+~P1(f775(f63(x92472),x92471))+P1(f775(f775(f334(x92472),f14(x92472,f236(x92472),x92471)),x92471))+~P1(f775(f775(f334(x92472),f775(f775(f236(x92472),f456(x92471,x92472)),f457(x92471,x92472))),f775(f775(f302(x92472),f456(x92471,x92472)),f775(f775(f302(x92472),f457(x92471,x92472)),f180(f857(x92472,a844))))))
% 184.29/184.11 [6414]~P81(x64142)+E(x64141,f2(x64142))+~E(f775(f775(f82(x64142),x64143),x64141),f2(x64142))+~P1(f775(f775(f232(x64142),f2(x64142)),x64143))+~P1(f775(f775(f232(x64142),f2(x64142)),x64141))
% 184.29/184.11 [6415]~P81(x64152)+E(x64151,f2(x64152))+~E(f775(f775(f82(x64152),x64151),x64153),f2(x64152))+~P1(f775(f775(f232(x64152),f2(x64152)),x64153))+~P1(f775(f775(f232(x64152),f2(x64152)),x64151))
% 184.29/184.11 [7139]~P100(x71391)+E(f17(x71391,x71392),x71393)+~P1(f775(f63(x71391),x71392))+~P1(f775(f775(f232(x71391),x71393),f629(x71393,x71392,x71391)))+~P1(f775(f775(f334(x71391),x71393),x71392))
% 184.29/184.11 [7174]~P100(x71741)+~P18(x71741,x71742)+~P18(x71741,x71743)+P18(x71741,f775(f775(f125(x71741),x71742),x71743))+P1(f775(f775(f334(x71741),f764(x71743,x71742,x71741)),f775(f158(x71741),x71742)))
% 184.29/184.11 [7175]~P100(x71751)+~P18(x71751,x71752)+~P18(x71751,x71753)+P18(x71751,f775(f775(f125(x71751),x71752),x71753))+P1(f775(f775(f334(x71751),f765(x71753,x71752,x71751)),f775(f158(x71751),x71753)))
% 184.29/184.11 [7241]~P100(x72411)+E(f16(x72411,x72412),x72413)+~P1(f775(f63(x72411),x72412))+P1(f775(f775(f334(x72411),f632(x72413,x72412,x72411)),x72412))+~P1(f775(f775(f334(x72411),x72413),x72412))
% 184.29/184.11 [7242]~P100(x72421)+E(f17(x72421,x72422),x72423)+~P1(f775(f63(x72421),x72422))+P1(f775(f775(f334(x72421),f629(x72423,x72422,x72421)),x72422))+~P1(f775(f775(f334(x72421),x72423),x72422))
% 184.29/184.11 [7841]~P100(x78411)+E(f16(x78411,x78412),x78413)+~P1(f775(f63(x78411),x78412))+~P1(f775(f775(f334(x78411),x78413),x78412))+~P1(f775(f775(f232(x78411),f632(x78413,x78412,x78411)),x78413))
% 184.29/184.11 [8155]~P100(x81551)+~P18(x81551,x81552)+~P18(x81551,x81553)+P18(x81551,f775(f775(f125(x81551),x81552),x81553))+~P1(f775(f775(f232(x81551),f764(x81553,x81552,x81551)),f765(x81553,x81552,x81551)))
% 184.29/184.11 [8884]~P93(x88842)+E(x88841,f180(f857(x88842,a844)))+~E(f775(f775(f103(x88842),f775(x88843,f474(x88841,x88843,x88842))),f775(x88843,f477(x88841,x88843,x88842))),f775(x88843,f775(f775(f103(x88842),f474(x88841,x88843,x88842)),f477(x88841,x88843,x88842))))+E(f15(x88842,f775(f303(x88842,x88842,x88843),x88841)),f775(x88843,f15(x88842,x88841)))+~P1(f775(f63(x88842),x88841))
% 184.29/184.11 [8885]~P100(x88852)+E(x88851,f180(f857(x88852,a844)))+~E(f775(f775(f179(x88852),f775(x88853,f465(x88851,x88853,x88852))),f775(x88853,f470(x88851,x88853,x88852))),f775(x88853,f775(f775(f179(x88852),f465(x88851,x88853,x88852)),f470(x88851,x88853,x88852))))+E(f16(x88852,f775(f303(x88852,x88852,x88853),x88851)),f775(x88853,f16(x88852,x88851)))+~P1(f775(f63(x88852),x88851))
% 184.29/184.11 [8886]~P100(x88862)+E(x88861,f180(f857(x88862,a844)))+~E(f775(f775(f236(x88862),f775(x88863,f475(x88861,x88863,x88862))),f775(x88863,f476(x88861,x88863,x88862))),f775(x88863,f775(f775(f236(x88862),f475(x88861,x88863,x88862)),f476(x88861,x88863,x88862))))+E(f17(x88862,f775(f303(x88862,x88862,x88863),x88861)),f775(x88863,f17(x88862,x88861)))+~P1(f775(f63(x88862),x88861))
% 184.29/184.11 [8887]~P93(x88872)+E(x88871,f180(f857(x88872,a844)))+~E(f775(f775(f104(x88872),f775(x88873,f530(x88871,x88873,x88872))),f775(x88873,f532(x88871,x88873,x88872))),f775(x88873,f775(f775(f104(x88872),f530(x88871,x88873,x88872)),f532(x88871,x88873,x88872))))+E(f12(x88872,f775(f303(x88872,x88872,x88873),x88871)),f775(x88873,f12(x88872,x88871)))+~P1(f775(f63(x88872),x88871))
% 184.29/184.11 [8951]~P100(x89512)+E(x89511,f180(f857(x89512,a844)))+~E(f775(f775(f179(x89512),f775(x89513,f466(x89511,x89513,x89512))),f775(x89513,f467(x89511,x89513,x89512))),f775(x89513,f775(f775(f179(x89512),f466(x89511,x89513,x89512)),f467(x89511,x89513,x89512))))+E(f13(x89512,f179(x89512),f775(f303(x89512,x89512,x89513),x89511)),f775(x89513,f13(x89512,f179(x89512),x89511)))+~P1(f775(f63(x89512),x89511))
% 184.29/184.11 [8952]~P100(x89522)+E(x89521,f180(f857(x89522,a844)))+~E(f775(f775(f236(x89522),f775(x89523,f468(x89521,x89523,x89522))),f775(x89523,f469(x89521,x89523,x89522))),f775(x89523,f775(f775(f236(x89522),f468(x89521,x89523,x89522)),f469(x89521,x89523,x89522))))+E(f14(x89522,f236(x89522),f775(f303(x89522,x89522,x89523),x89521)),f775(x89523,f14(x89522,f236(x89522),x89521)))+~P1(f775(f63(x89522),x89521))
% 184.29/184.11 [6431]~P64(x64312)+E(x64311,f180(f857(x64312,a844)))+~P1(f775(f63(x64312),x64311))+E(f775(f65(x64312,f83(x64312)),f775(f775(f302(x64312),x64313),x64311)),f775(f775(f83(x64312),x64313),f775(f65(x64312,f83(x64312)),x64311)))+P1(f775(f775(f334(x64312),x64313),x64311))
% 184.29/184.11 [6976]~P100(x69762)+E(f775(f775(f236(x69762),f17(x69762,x69761)),f17(x69762,x69763)),f17(x69762,x69763))+E(x69761,f180(f857(x69762,a844)))+~P1(f775(f63(x69762),x69763))+~P1(f775(f775(f232(f857(x69762,a844)),x69761),x69763))
% 184.29/184.11 [6977]~P100(x69772)+E(f775(f775(f179(x69772),f16(x69772,x69771)),f16(x69772,x69773)),f16(x69772,x69773))+E(x69771,f180(f857(x69772,a844)))+~P1(f775(f63(x69772),x69773))+~P1(f775(f775(f232(f857(x69772,a844)),x69771),x69773))
% 184.29/184.11 [6978]~P93(x69782)+E(f775(f775(f103(x69782),f15(x69782,x69781)),f15(x69782,x69783)),f15(x69782,x69783))+E(x69781,f180(f857(x69782,a844)))+~P1(f775(f63(x69782),x69783))+~P1(f775(f775(f232(f857(x69782,a844)),x69781),x69783))
% 184.29/184.11 [6979]~P93(x69792)+E(f775(f775(f104(x69792),f12(x69792,x69791)),f12(x69792,x69793)),f12(x69792,x69793))+E(x69791,f180(f857(x69792,a844)))+~P1(f775(f63(x69792),x69793))+~P1(f775(f775(f232(f857(x69792,a844)),x69791),x69793))
% 184.29/184.11 [7297]~P100(x72972)+E(x72971,f180(f857(x72972,a844)))+~P1(f775(f63(x72972),x72973))+P1(f775(f775(f232(x72972),f16(x72972,x72971)),f16(x72972,x72973)))+~P1(f775(f775(f232(f857(x72972,a844)),x72971),x72973))
% 184.29/184.11 [7298]~P100(x72982)+E(x72981,f180(f857(x72982,a844)))+~P1(f775(f63(x72982),x72983))+P1(f775(f775(f232(x72982),f17(x72982,x72983)),f17(x72982,x72981)))+~P1(f775(f775(f232(f857(x72982,a844)),x72981),x72983))
% 184.29/184.11 [7360]~P93(x73601)+E(f15(x73601,x73602),x73603)+~P1(f775(f63(x73601),x73602))+~E(f775(f775(f3(f857(x73601,a844)),x73602),f775(f775(f302(x73601),x73603),f180(f857(x73601,a844)))),f180(f857(x73601,a844)))+~P1(f775(f775(f334(x73601),x73603),x73602))
% 184.29/184.11 [7361]~P100(x73611)+E(f16(x73611,x73612),x73613)+~P1(f775(f63(x73611),x73612))+~E(f775(f775(f3(f857(x73611,a844)),x73612),f775(f775(f302(x73611),x73613),f180(f857(x73611,a844)))),f180(f857(x73611,a844)))+~P1(f775(f775(f334(x73611),x73613),x73612))
% 184.29/184.11 [7362]~P100(x73621)+E(f17(x73621,x73622),x73623)+~P1(f775(f63(x73621),x73622))+~E(f775(f775(f3(f857(x73621,a844)),x73622),f775(f775(f302(x73621),x73623),f180(f857(x73621,a844)))),f180(f857(x73621,a844)))+~P1(f775(f775(f334(x73621),x73623),x73622))
% 184.29/184.11 [7363]~P93(x73631)+E(f12(x73631,x73632),x73633)+~P1(f775(f63(x73631),x73632))+~E(f775(f775(f3(f857(x73631,a844)),x73632),f775(f775(f302(x73631),x73633),f180(f857(x73631,a844)))),f180(f857(x73631,a844)))+~P1(f775(f775(f334(x73631),x73633),x73632))
% 184.29/184.11 [7463]~P100(x74631)+E(f13(x74631,f179(x74631),x74632),x74633)+~P1(f775(f63(x74631),x74632))+~E(f775(f775(f3(f857(x74631,a844)),x74632),f775(f775(f302(x74631),x74633),f180(f857(x74631,a844)))),f180(f857(x74631,a844)))+~P1(f775(f775(f334(x74631),x74633),x74632))
% 184.29/184.11 [7464]~P100(x74641)+E(f14(x74641,f236(x74641),x74642),x74643)+~P1(f775(f63(x74641),x74642))+~E(f775(f775(f3(f857(x74641,a844)),x74642),f775(f775(f302(x74641),x74643),f180(f857(x74641,a844)))),f180(f857(x74641,a844)))+~P1(f775(f775(f334(x74641),x74643),x74642))
% 184.29/184.11 [7501]~P100(x75012)+E(x75011,f180(f857(x75012,a844)))+~P1(f775(f63(x75012),x75011))+~P1(f775(f775(f233(x75012),x75013),f547(x75013,x75011,x75012)))+P1(f775(f775(f233(x75012),x75013),f775(f65(x75012,f236(x75012)),x75011)))
% 184.29/184.11 [7502]~P100(x75022)+E(x75021,f180(f857(x75022,a844)))+~P1(f775(f63(x75022),x75021))+~P1(f775(f775(f232(x75022),x75023),f548(x75023,x75021,x75022)))+P1(f775(f775(f232(x75022),x75023),f775(f65(x75022,f236(x75022)),x75021)))
% 184.29/184.11 [7503]~P98(x75032)+E(x75031,f180(f857(x75032,a844)))+~P1(f775(f63(x75032),x75031))+~P1(f775(f775(f232(x75032),x75033),f549(x75033,x75031,x75032)))+P1(f775(f775(f232(x75032),x75033),f775(f65(x75032,f104(x75032)),x75031)))
% 184.29/184.11 [7591]~P98(x75912)+E(x75911,f180(f857(x75912,a844)))+~P1(f775(f63(x75912),x75911))+P1(f775(f775(f334(x75912),f549(x75913,x75911,x75912)),x75911))+P1(f775(f775(f232(x75912),x75913),f775(f65(x75912,f104(x75912)),x75911)))
% 184.29/184.11 [7592]~P100(x75922)+E(x75921,f180(f857(x75922,a844)))+~P1(f775(f63(x75922),x75921))+P1(f775(f775(f334(x75922),f548(x75923,x75921,x75922)),x75921))+P1(f775(f775(f232(x75922),x75923),f775(f65(x75922,f236(x75922)),x75921)))
% 184.29/184.11 [7593]~P100(x75932)+E(x75931,f180(f857(x75932,a844)))+~P1(f775(f63(x75932),x75931))+P1(f775(f775(f334(x75932),f547(x75933,x75931,x75932)),x75931))+P1(f775(f775(f233(x75932),x75933),f775(f65(x75932,f236(x75932)),x75931)))
% 184.29/184.11 [7713]~P100(x77132)+E(x77131,f180(f857(x77132,a844)))+E(f775(f775(f236(x77132),f14(x77132,f236(x77132),x77131)),f14(x77132,f236(x77132),x77133)),f14(x77132,f236(x77132),x77133))+~P1(f775(f63(x77132),x77133))+~P1(f775(f775(f232(f857(x77132,a844)),x77131),x77133))
% 184.29/184.11 [7714]~P100(x77142)+E(x77141,f180(f857(x77142,a844)))+E(f775(f775(f179(x77142),f13(x77142,f179(x77142),x77141)),f13(x77142,f179(x77142),x77143)),f13(x77142,f179(x77142),x77143))+~P1(f775(f63(x77142),x77143))+~P1(f775(f775(f232(f857(x77142,a844)),x77141),x77143))
% 184.29/184.11 [7916]~E(f675(x79161,x79163,x79162),f676(x79161,x79163,x79162))+~E(f775(f42(x79162),f677(x79161,x79163,x79162)),x79161)+E(f775(f775(f83(a850),x79161),f775(f42(f857(x79162,a844)),x79163)),f775(f42(x79162),f44(f857(x79162,a844),x79163)))+~P1(f775(f63(x79162),f44(f857(x79162,a844),x79163)))+~P1(f775(f63(f857(x79162,a844)),x79163))
% 184.29/184.11 [8091]~P100(x80912)+E(x80911,f180(f857(x80912,a844)))+~P1(f775(f63(x80912),x80913))+P1(f775(f775(f232(x80912),f775(f65(x80912,f236(x80912)),x80913)),f775(f65(x80912,f236(x80912)),x80911)))+~P1(f775(f775(f232(f857(x80912,a844)),x80911),x80913))
% 184.29/184.11 [8395]~E(f675(x83951,x83953,x83952),f676(x83951,x83953,x83952))+E(f775(f775(f83(a850),x83951),f775(f42(f857(x83952,a844)),x83953)),f775(f42(x83952),f44(f857(x83952,a844),x83953)))+P1(f775(f775(f334(f857(x83952,a844)),f677(x83951,x83953,x83952)),x83953))+~P1(f775(f63(x83952),f44(f857(x83952,a844),x83953)))+~P1(f775(f63(f857(x83952,a844)),x83953))
% 184.29/184.11 [8419]~E(f775(f42(x84192),f677(x84191,x84193,x84192)),x84191)+E(f775(f775(f83(a850),x84191),f775(f42(f857(x84192,a844)),x84193)),f775(f42(x84192),f44(f857(x84192,a844),x84193)))+P1(f775(f775(f334(f857(x84192,a844)),f676(x84191,x84193,x84192)),x84193))+~P1(f775(f63(x84192),f44(f857(x84192,a844),x84193)))+~P1(f775(f63(f857(x84192,a844)),x84193))
% 184.29/184.11 [8420]~E(f775(f42(x84202),f677(x84201,x84203,x84202)),x84201)+E(f775(f775(f83(a850),x84201),f775(f42(f857(x84202,a844)),x84203)),f775(f42(x84202),f44(f857(x84202,a844),x84203)))+P1(f775(f775(f334(f857(x84202,a844)),f675(x84201,x84203,x84202)),x84203))+~P1(f775(f63(x84202),f44(f857(x84202,a844),x84203)))+~P1(f775(f63(f857(x84202,a844)),x84203))
% 184.29/184.11 [8450]~E(f775(f42(x84502),f677(x84501,x84503,x84502)),x84501)+~E(f775(f775(f104(f857(x84502,a844)),f676(x84501,x84503,x84502)),f675(x84501,x84503,x84502)),f180(f857(x84502,a844)))+E(f775(f775(f83(a850),x84501),f775(f42(f857(x84502,a844)),x84503)),f775(f42(x84502),f44(f857(x84502,a844),x84503)))+~P1(f775(f63(f857(x84502,a844)),x84503))+~P1(f775(f63(x84502),f44(f857(x84502,a844),x84503)))
% 184.29/184.11 [8676]E(f775(f775(f83(a850),x86761),f775(f42(f857(x86762,a844)),x86763)),f775(f42(x86762),f44(f857(x86762,a844),x86763)))+P1(f775(f775(f334(f857(x86762,a844)),f677(x86761,x86763,x86762)),x86763))+P1(f775(f775(f334(f857(x86762,a844)),f676(x86761,x86763,x86762)),x86763))+~P1(f775(f63(f857(x86762,a844)),x86763))+~P1(f775(f63(x86762),f44(f857(x86762,a844),x86763)))
% 184.29/184.11 [8677]E(f775(f775(f83(a850),x86771),f775(f42(f857(x86772,a844)),x86773)),f775(f42(x86772),f44(f857(x86772,a844),x86773)))+P1(f775(f775(f334(f857(x86772,a844)),f677(x86771,x86773,x86772)),x86773))+P1(f775(f775(f334(f857(x86772,a844)),f675(x86771,x86773,x86772)),x86773))+~P1(f775(f63(f857(x86772,a844)),x86773))+~P1(f775(f63(x86772),f44(f857(x86772,a844),x86773)))
% 184.29/184.11 [8702]~E(f775(f775(f104(f857(x87022,a844)),f676(x87021,x87023,x87022)),f675(x87021,x87023,x87022)),f180(f857(x87022,a844)))+E(f775(f775(f83(a850),x87021),f775(f42(f857(x87022,a844)),x87023)),f775(f42(x87022),f44(f857(x87022,a844),x87023)))+~P1(f775(f63(f857(x87022,a844)),x87023))+P1(f775(f775(f334(f857(x87022,a844)),f677(x87021,x87023,x87022)),x87023))+~P1(f775(f63(x87022),f44(f857(x87022,a844),x87023)))
% 184.29/184.11 [8930]~P91(x89302)+E(x89301,f180(f857(x89302,a844)))+~E(f775(f775(f83(x89302),f775(x89303,f567(x89301,x89303,x89302))),f775(x89303,f568(x89301,x89303,x89302))),f775(x89303,f775(f775(f83(x89302),f567(x89301,x89303,x89302)),f568(x89301,x89303,x89302))))+~P1(f775(f63(x89302),x89301))+E(f775(f65(x89302,f83(x89302)),f775(f303(x89302,x89302,x89303),x89301)),f775(x89303,f775(f65(x89302,f83(x89302)),x89301)))
% 184.29/184.11 [9797]P1(f775(f775(x97971,x97972),x97973))+P1(f775(f775(f233(a1),f827(x97971,x97973,x97972)),f828(x97971,x97973,x97972)))+P1(f775(f775(f232(a1),f828(x97971,x97973,x97972)),f2(a1)))+P1(f775(f775(x97971,f827(x97971,x97973,x97972)),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f828(x97971,x97973,x97972))))+~P1(f775(f321(f856(a1,a1),a62),f775(f775(f241(a1,a1),x97972),x97973)))
% 184.29/184.11 [9803]P1(f775(f775(x98031,x98032),x98033))+P1(f775(f775(f232(a1),f826(x98031,x98033,x98032)),f2(a1)))+P1(f775(f775(x98031,f825(x98031,x98033,x98032)),f775(f775(f83(a1),f775(f106(a1),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f826(x98031,x98033,x98032))))+P1(f775(f775(f232(a1),f2(a1)),f775(f775(f82(a1),f825(x98031,x98033,x98032)),f826(x98031,x98033,x98032))))+~P1(f775(f321(f856(a1,a1),a59),f775(f775(f241(a1,a1),x98032),x98033)))
% 184.29/184.11 [7886]~P110(x78861)+~P1(f775(f775(f232(x78861),x78862),f80(x78861)))+~P1(f775(f775(f232(x78861),f2(x78861)),x78862))+~P1(f775(f775(f232(x78861),f2(x78861)),x78863))+P1(f775(f775(f232(x78861),f775(f775(f83(x78861),x78862),x78863)),x78863))
% 184.29/184.11 [7887]~P110(x78871)+~P1(f775(f775(f232(x78871),x78873),f80(x78871)))+~P1(f775(f775(f232(x78871),f2(x78871)),x78873))+~P1(f775(f775(f232(x78871),f2(x78871)),x78872))+P1(f775(f775(f232(x78871),f775(f775(f83(x78871),x78872),x78873)),x78872))
% 184.29/184.11 [8236]~P100(x82362)+E(x82361,f180(f857(x82362,a844)))+~P1(f775(f63(x82362),x82361))+P1(f775(f775(f334(x82362),f552(x82363,x82361,x82362)),x82361))+~P1(f775(f775(f232(x82362),f775(f65(x82362,f236(x82362)),x82361)),x82363))
% 184.29/184.11 [8237]~P100(x82372)+E(x82371,f180(f857(x82372,a844)))+~P1(f775(f63(x82372),x82371))+P1(f775(f775(f334(x82372),f553(x82373,x82371,x82372)),x82371))+~P1(f775(f775(f233(x82372),f775(f65(x82372,f236(x82372)),x82371)),x82373))
% 184.29/184.11 [8238]~P100(x82382)+E(x82381,f180(f857(x82382,a844)))+~P1(f775(f63(x82382),x82381))+P1(f775(f775(f233(x82382),f553(x82383,x82381,x82382)),x82383))+~P1(f775(f775(f233(x82382),f775(f65(x82382,f236(x82382)),x82381)),x82383))
% 184.29/184.11 [8239]~P100(x82392)+E(x82391,f180(f857(x82392,a844)))+~P1(f775(f63(x82392),x82391))+P1(f775(f775(f232(x82392),f552(x82393,x82391,x82392)),x82393))+~P1(f775(f775(f232(x82392),f775(f65(x82392,f236(x82392)),x82391)),x82393))
% 184.29/184.11 [8324]~P1(f775(x83241,x83243))+P1(f775(x83241,f351(x83241,x83242)))+P1(f775(x83241,f350(x83241,x83242)))+~P1(f775(f775(f233(a1),f2(a1)),x83242))+P1(f775(x83241,f775(f775(f3(a1),f350(x83241,x83242)),f775(f775(f83(a1),f352(x83241,x83242)),x83242))))
% 184.29/184.11 [8542]~P1(f775(x85421,x85423))+P1(f775(x85421,f350(x85421,x85422)))+~P1(f775(f775(f233(a1),f2(a1)),x85422))+P1(f775(f775(f334(a1),f351(x85421,x85422)),f295(a1,f80(a1),x85422)))+P1(f775(x85421,f775(f775(f3(a1),f350(x85421,x85422)),f775(f775(f83(a1),f352(x85421,x85422)),x85422))))
% 184.29/184.11 [8720]~P1(f775(x87201,x87203))+~P1(f775(x87201,f350(x87201,x87202)))+P1(f775(x87201,f351(x87201,x87202)))+~P1(f775(f775(f233(a1),f2(a1)),x87202))+~P1(f775(x87201,f775(f775(f3(a1),f350(x87201,x87202)),f775(f775(f83(a1),f352(x87201,x87202)),x87202))))
% 184.29/184.11 [8823]~P1(f775(x88231,x88233))+~P1(f775(x88231,f350(x88231,x88232)))+~P1(f775(f775(f233(a1),f2(a1)),x88232))+P1(f775(f775(f334(a1),f351(x88231,x88232)),f295(a1,f80(a1),x88232)))+~P1(f775(x88231,f775(f775(f3(a1),f350(x88231,x88232)),f775(f775(f83(a1),f352(x88231,x88232)),x88232))))
% 184.29/184.11 [8639]~P93(x86391)+~P1(f775(f63(x86391),x86392))+E(f775(f775(f3(f857(x86391,a844)),x86392),f775(f775(f302(x86391),x86393),f180(f857(x86391,a844)))),f180(f857(x86391,a844)))+~P1(f775(f775(f334(x86391),x86393),x86392))+E(f775(f775(f103(x86391),x86393),f15(x86391,f775(f775(f3(f857(x86391,a844)),x86392),f775(f775(f302(x86391),x86393),f180(f857(x86391,a844)))))),f15(x86391,x86392))
% 184.29/184.11 [8640]~P100(x86401)+~P1(f775(f63(x86401),x86402))+E(f775(f775(f3(f857(x86401,a844)),x86402),f775(f775(f302(x86401),x86403),f180(f857(x86401,a844)))),f180(f857(x86401,a844)))+~P1(f775(f775(f334(x86401),x86403),x86402))+E(f775(f775(f179(x86401),x86403),f16(x86401,f775(f775(f3(f857(x86401,a844)),x86402),f775(f775(f302(x86401),x86403),f180(f857(x86401,a844)))))),f16(x86401,x86402))
% 184.29/184.11 [8641]~P100(x86411)+~P1(f775(f63(x86411),x86412))+E(f775(f775(f3(f857(x86411,a844)),x86412),f775(f775(f302(x86411),x86413),f180(f857(x86411,a844)))),f180(f857(x86411,a844)))+~P1(f775(f775(f334(x86411),x86413),x86412))+E(f775(f775(f236(x86411),x86413),f17(x86411,f775(f775(f3(f857(x86411,a844)),x86412),f775(f775(f302(x86411),x86413),f180(f857(x86411,a844)))))),f17(x86411,x86412))
% 184.29/184.11 [8642]~P93(x86421)+~P1(f775(f63(x86421),x86422))+E(f775(f775(f3(f857(x86421,a844)),x86422),f775(f775(f302(x86421),x86423),f180(f857(x86421,a844)))),f180(f857(x86421,a844)))+~P1(f775(f775(f334(x86421),x86423),x86422))+E(f775(f775(f104(x86421),x86423),f12(x86421,f775(f775(f3(f857(x86421,a844)),x86422),f775(f775(f302(x86421),x86423),f180(f857(x86421,a844)))))),f12(x86421,x86422))
% 184.29/184.11 [8697]~P100(x86971)+~P1(f775(f63(x86971),x86972))+E(f775(f775(f3(f857(x86971,a844)),x86972),f775(f775(f302(x86971),x86973),f180(f857(x86971,a844)))),f180(f857(x86971,a844)))+~P1(f775(f775(f334(x86971),x86973),x86972))+E(f775(f775(f179(x86971),x86973),f13(x86971,f179(x86971),f775(f775(f3(f857(x86971,a844)),x86972),f775(f775(f302(x86971),x86973),f180(f857(x86971,a844)))))),f13(x86971,f179(x86971),x86972))
% 184.29/184.11 [8698]~P100(x86981)+~P1(f775(f63(x86981),x86982))+E(f775(f775(f3(f857(x86981,a844)),x86982),f775(f775(f302(x86981),x86983),f180(f857(x86981,a844)))),f180(f857(x86981,a844)))+~P1(f775(f775(f334(x86981),x86983),x86982))+E(f775(f775(f236(x86981),x86983),f14(x86981,f236(x86981),f775(f775(f3(f857(x86981,a844)),x86982),f775(f775(f302(x86981),x86983),f180(f857(x86981,a844)))))),f14(x86981,f236(x86981),x86982))
% 184.29/184.11 [8708]~P100(x87081)+~P1(f775(f63(x87081),x87083))+~P1(f775(f63(x87081),x87082))+E(f775(f775(f104(f857(x87081,a844)),x87082),x87083),f180(f857(x87081,a844)))+E(f775(f775(f236(x87081),f17(x87081,f775(f775(f103(f857(x87081,a844)),x87082),x87083))),f17(x87081,f775(f775(f104(f857(x87081,a844)),x87082),x87083))),f775(f775(f236(x87081),f17(x87081,x87082)),f17(x87081,x87083)))
% 184.29/184.11 [8709]~P100(x87091)+~P1(f775(f63(x87091),x87093))+~P1(f775(f63(x87091),x87092))+E(f775(f775(f104(f857(x87091,a844)),x87092),x87093),f180(f857(x87091,a844)))+E(f775(f775(f179(x87091),f16(x87091,f775(f775(f103(f857(x87091,a844)),x87092),x87093))),f16(x87091,f775(f775(f104(f857(x87091,a844)),x87092),x87093))),f775(f775(f179(x87091),f16(x87091,x87092)),f16(x87091,x87093)))
% 184.29/184.11 [8710]~P93(x87101)+~P1(f775(f63(x87101),x87103))+~P1(f775(f63(x87101),x87102))+E(f775(f775(f104(f857(x87101,a844)),x87102),x87103),f180(f857(x87101,a844)))+E(f775(f775(f103(x87101),f15(x87101,f775(f775(f103(f857(x87101,a844)),x87102),x87103))),f15(x87101,f775(f775(f104(f857(x87101,a844)),x87102),x87103))),f775(f775(f103(x87101),f15(x87101,x87102)),f15(x87101,x87103)))
% 184.29/184.11 [8711]~P93(x87111)+~P1(f775(f63(x87111),x87113))+~P1(f775(f63(x87111),x87112))+E(f775(f775(f104(f857(x87111,a844)),x87112),x87113),f180(f857(x87111,a844)))+E(f775(f775(f104(x87111),f12(x87111,f775(f775(f103(f857(x87111,a844)),x87112),x87113))),f12(x87111,f775(f775(f104(f857(x87111,a844)),x87112),x87113))),f775(f775(f104(x87111),f12(x87111,x87112)),f12(x87111,x87113)))
% 184.29/184.11 [8904]~P100(x89041)+~P1(f775(f63(x89041),x89043))+~P1(f775(f63(x89041),x89042))+E(f775(f775(f104(f857(x89041,a844)),x89042),x89043),f180(f857(x89041,a844)))+E(f775(f775(f236(x89041),f14(x89041,f236(x89041),f775(f775(f103(f857(x89041,a844)),x89042),x89043))),f14(x89041,f236(x89041),f775(f775(f104(f857(x89041,a844)),x89042),x89043))),f775(f775(f236(x89041),f14(x89041,f236(x89041),x89042)),f14(x89041,f236(x89041),x89043)))
% 184.29/184.11 [8905]~P100(x89051)+~P1(f775(f63(x89051),x89053))+~P1(f775(f63(x89051),x89052))+E(f775(f775(f104(f857(x89051,a844)),x89052),x89053),f180(f857(x89051,a844)))+E(f775(f775(f179(x89051),f13(x89051,f179(x89051),f775(f775(f103(f857(x89051,a844)),x89052),x89053))),f13(x89051,f179(x89051),f775(f775(f104(f857(x89051,a844)),x89052),x89053))),f775(f775(f179(x89051),f13(x89051,f179(x89051),x89052)),f13(x89051,f179(x89051),x89053)))
% 184.29/184.11 [9639]~P117(x96393)+E(x96391,x96392)+~P1(f775(f775(f232(x96393),f2(x96393)),x96392))+~P1(f775(f775(f232(x96393),f2(x96393)),x96391))+~E(f775(f775(f242(x96393),x96391),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))),f775(f775(f242(x96393),x96392),f775(f106(a850),f775(f775(f82(a1),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)),f775(f775(f3(a1),f775(f775(f82(a1),a85),a85)),a99)))))
% 184.29/184.11 [6579]P142(x65791,x65792)+~P142(x65791,x65793)+~P39(a861,x65793,x65794,x65792)+~P31(a843,x65794,f772(x65794))+~P1(f775(a859,x65793))
% 184.29/184.11 [5753]~P7(x57532)+E(x57531,f2(x57532))+~E(f775(f775(f43(x57532),x57533),x57531),x57534)+E(x57533,f775(f775(f83(x57532),x57534),x57531))+~P1(f775(f775(f279(x57532),x57531),x57533))
% 184.29/184.11 [5754]~P7(x57542)+E(x57541,f2(x57542))+~E(x57543,f775(f775(f83(x57542),x57544),x57541))+E(f775(f775(f43(x57542),x57543),x57541),x57544)+~P1(f775(f775(f279(x57542),x57541),x57543))
% 184.29/184.11 [6218]E(f404(x62181,x62182,x62183),x62184)+E(f775(x62181,x62184),f2(a850))+~E(f775(f775(f8(x62183,a850),x62181),x62182),f80(a850))+~P1(f775(f63(x62183),x62182))+~P1(f775(f775(f334(x62183),x62184),x62182))
% 184.29/184.11 [6286]E(f406(x62861,x62862,x62863),x62864)+E(f775(x62861,x62864),f2(a850))+~E(f775(f775(f8(x62863,a850),x62861),x62862),f775(a114,f2(a850)))+~P1(f775(f63(x62863),x62862))+~P1(f775(f775(f334(x62863),x62864),x62862))
% 184.29/184.11 [6400]~P100(x64001)+~P9(x64001)+P1(f775(f775(f233(x64001),x64002),f44(x64001,x64003)))+~P1(f775(f775(f233(x64001),x64002),x64004))+~P1(f775(f775(f334(x64001),x64004),x64003))
% 184.29/184.11 [6578]~P100(x65781)+~P9(x65781)+~P1(f775(f775(f233(x65781),x65784),x65783))+P1(f775(f775(f233(x65781),f45(x65781,x65782)),x65783))+~P1(f775(f775(f334(x65781),x65784),x65782))
% 184.29/184.11 [6738]P142(x67381,x67382)+~P142(x67381,x67384)+~P39(a861,x67384,x67383,x67382)+~P1(f775(a859,x67384))+P1(f775(f775(f334(f849(a843)),f772(x67383)),a860))
% 184.29/184.11 [6858]~P117(x68583)+E(x68581,x68582)+~E(f775(f775(f242(x68583),x68581),f775(a114,x68584)),f775(f775(f242(x68583),x68582),f775(a114,x68584)))+~P1(f775(f775(f232(x68583),f2(x68583)),x68582))+~P1(f775(f775(f232(x68583),f2(x68583)),x68581))
% 184.29/184.11 [7071]~E(f409(x70712,x70713,x70711,x70714),x70714)+~E(f775(x70712,x70714),f80(a850))+E(f775(f775(f8(x70711,a850),x70712),x70713),f80(a850))+~P1(f775(f63(x70711),x70713))+~P1(f775(f775(f334(x70711),x70714),x70713))
% 184.29/184.11 [7078]~P85(x70784)+~P127(x70784)+E(f775(x70781,f451(x70781,x70782,x70783,x70784)),f2(x70784))+~E(f775(f775(f11(x70783,x70784),x70781),x70782),f2(x70784))+~P1(f775(f63(x70783),x70782))
% 184.29/184.11 [7161]~E(f408(x71612,x71613,x71611,x71614),x71614)+~E(f775(x71612,x71614),f775(a114,f2(a850)))+E(f775(f775(f8(x71611,a850),x71612),x71613),f775(a114,f2(a850)))+~P1(f775(f63(x71611),x71613))+~P1(f775(f775(f334(x71611),x71614),x71613))
% 184.29/184.11 [7926]~E(f775(x79262,x79264),f80(a850))+~E(f775(x79262,f409(x79262,x79263,x79261,x79264)),f2(a850))+E(f775(f775(f8(x79261,a850),x79262),x79263),f80(a850))+~P1(f775(f63(x79261),x79263))+~P1(f775(f775(f334(x79261),x79264),x79263))
% 184.29/184.11 [7971]~E(f775(x79712,x79714),f775(a114,f2(a850)))+~E(f775(x79712,f408(x79712,x79713,x79711,x79714)),f2(a850))+E(f775(f775(f8(x79711,a850),x79712),x79713),f775(a114,f2(a850)))+~P1(f775(f63(x79711),x79713))+~P1(f775(f775(f334(x79711),x79714),x79713))
% 184.29/184.11 [8050]~P136(x80502)+~P112(x80502)+~P1(f775(x80501,x80504))+~P1(f775(f775(f279(x80502),x80503),f775(f775(f82(x80502),x80504),f2(x80502))))+P1(f775(x80501,f775(f775(f83(x80502),x80503),f840(x80503,x80501,x80502))))
% 184.29/184.11 [8545]E(x85451,x85452)+E(f775(f775(f82(a1),f433(x85453,x85452,x85454,x85451)),f434(x85453,x85452,x85454,x85451)),x85451)+~E(f775(f775(f3(a1),x85451),x85454),x85452)+~P1(f775(f775(f233(a1),f2(a1)),x85454))+~P1(f775(f775(f334(a1),x85452),x85453))
% 184.29/184.11 [8546]E(x85461,x85462)+E(f775(f775(f3(a1),f423(x85463,x85462,x85464,x85461)),f424(x85463,x85462,x85464,x85461)),x85461)+~E(f775(f775(f82(a1),x85461),x85464),x85462)+~P1(f775(f775(f233(a1),f2(a1)),x85464))+~P1(f775(f775(f334(a1),x85462),x85463))
% 184.29/184.11 [8707]E(f775(x87071,f818(x87072,x87071,x87073,x87074)),x87072)+P1(f775(f775(f232(a850),x87074),f819(x87072,x87071,x87073,x87074)))+~P1(f775(f775(f232(a1),x87072),f775(x87071,x87073)))+~P1(f775(f775(f233(a850),x87074),x87073))+~P1(f775(f775(f232(a1),f775(x87071,x87074)),x87072))
% 184.29/184.11 [8724]~P85(x87244)+~P127(x87244)+~E(f775(f775(f11(x87241,x87244),x87242),x87243),f2(x87244))+~P1(f775(f63(x87241),x87243))+P1(f775(f775(f334(x87241),f451(x87242,x87243,x87241,x87244)),x87243))
% 184.29/184.11 [8757]~E(f775(x87572,x87574),f80(a850))+E(f775(f775(f8(x87571,a850),x87572),x87573),f80(a850))+~P1(f775(f63(x87571),x87573))+~P1(f775(f775(f334(x87571),x87574),x87573))+P1(f775(f775(f334(x87571),f409(x87572,x87573,x87571,x87574)),x87573))
% 184.29/184.11 [8766]E(x87661,x87662)+~E(f775(f775(f82(a1),x87662),x87664),x87661)+~P1(f775(f775(f233(a1),f2(a1)),x87664))+~P1(f775(f775(f334(a1),x87661),x87663))+P1(f775(f775(f334(a1),f423(x87663,x87661,x87664,x87662)),x87663))
% 184.29/184.11 [8767]E(x87671,x87672)+~E(f775(f775(f3(a1),x87672),x87674),x87671)+~P1(f775(f775(f233(a1),f2(a1)),x87674))+~P1(f775(f775(f334(a1),x87671),x87673))+P1(f775(f775(f334(a1),f433(x87673,x87671,x87674,x87672)),x87673))
% 184.29/184.11 [8769]~E(f775(x87692,x87694),f775(a114,f2(a850)))+E(f775(f775(f8(x87691,a850),x87692),x87693),f775(a114,f2(a850)))+~P1(f775(f63(x87691),x87693))+~P1(f775(f775(f334(x87691),x87694),x87693))+P1(f775(f775(f334(x87691),f408(x87692,x87693,x87691,x87694)),x87693))
% 184.29/184.11 [8773]P57(x87732,x87733,x87734,x87731)+E(x87731,f180(f857(x87732,a844)))+~P1(f775(f63(x87732),x87734))+~P1(f775(f63(x87732),x87731))+P1(f775(f775(f334(x87732),f537(x87731,x87734,x87733,x87732)),x87734))
% 184.29/184.11 [8836]E(x88361,x88362)+~E(f775(f775(f82(a1),x88362),x88364),x88361)+~P1(f775(f775(f233(a1),f2(a1)),x88364))+~P1(f775(f775(f334(a1),x88361),x88363))+P1(f775(f775(f334(a1),f424(x88363,x88361,x88364,x88362)),f295(a1,f80(a1),x88364)))
% 184.29/184.11 [8837]E(x88371,x88372)+~E(f775(f775(f3(a1),x88372),x88374),x88371)+~P1(f775(f775(f233(a1),f2(a1)),x88374))+~P1(f775(f775(f334(a1),x88371),x88373))+P1(f775(f775(f334(a1),f434(x88373,x88371,x88374,x88372)),f295(a1,f80(a1),x88374)))
% 184.29/184.11 [8910]P1(f775(f775(f232(a850),x89101),f818(x89102,x89103,x89104,x89101)))+~P1(f775(f775(f232(a1),x89102),f775(x89103,x89104)))+P1(f775(f775(f232(a850),x89101),f819(x89102,x89103,x89104,x89101)))+~P1(f775(f775(f233(a850),x89101),x89104))+~P1(f775(f775(f232(a1),f775(x89103,x89101)),x89102))
% 184.29/184.11 [9017]E(f775(x90171,f818(x90172,x90171,x90173,x90174)),x90172)+~P1(f775(f775(f232(a1),x90172),f775(x90171,x90173)))+P1(f775(f775(f233(a850),f819(x90172,x90171,x90173,x90174)),x90173))+~P1(f775(f775(f233(a850),x90174),x90173))+~P1(f775(f775(f232(a1),f775(x90171,x90174)),x90172))
% 184.29/184.11 [9122]~P1(f775(f775(f279(a850),x91224),x91221))+~P1(f775(f775(f279(a850),x91224),x91223))+~P1(f775(f775(f279(a850),x91222),x91221))+P1(f775(f775(f279(a850),x91221),x91222))+P1(f775(f775(f233(f857(a850,a844)),f282(a850,f279(a850),x91223,x91222)),f282(a850,f279(a850),x91224,x91221)))
% 184.29/184.11 [9123]~P1(f775(f775(f279(a850),x91232),x91231))+~P1(f775(f775(f279(a850),x91233),x91234))+~P1(f775(f775(f279(a850),x91232),x91234))+P1(f775(f775(f279(a850),x91231),x91232))+P1(f775(f775(f233(f857(a850,a844)),f282(a850,f279(a850),x91231,x91233)),f282(a850,f279(a850),x91232,x91234)))
% 184.29/184.11 [9134]~P1(f775(f775(f232(a1),x91342),f775(x91343,x91344)))+P1(f775(f775(f232(a850),x91341),f819(x91342,x91343,x91344,x91341)))+P1(f775(f775(f232(a850),f818(x91342,x91343,x91344,x91341)),x91344))+~P1(f775(f775(f233(a850),x91341),x91344))+~P1(f775(f775(f232(a1),f775(x91343,x91341)),x91342))
% 184.29/184.11 [9135]~P1(f775(f775(f232(a1),x91352),f775(x91353,x91354)))+P1(f775(f775(f232(a850),x91351),f818(x91352,x91353,x91354,x91351)))+P1(f775(f775(f233(a850),f819(x91352,x91353,x91354,x91351)),x91354))+~P1(f775(f775(f233(a850),x91351),x91354))+~P1(f775(f775(f232(a1),f775(x91353,x91351)),x91352))
% 184.29/184.11 [9222]~P1(f775(f775(f232(a1),x92221),f775(x92222,x92223)))+P1(f775(f775(f232(a850),f818(x92221,x92222,x92223,x92224)),x92223))+~P1(f775(f775(f233(a850),x92224),x92223))+~P1(f775(f775(f232(a1),f775(x92222,x92224)),x92221))+P1(f775(f775(f233(a850),f819(x92221,x92222,x92223,x92224)),x92223))
% 184.29/184.11 [9306]E(x93061,f180(f857(x93062,a844)))+~P1(f775(f63(x93062),x93064))+~P1(f775(f63(x93062),x93061))+P1(f775(f775(f334(f856(f857(x93062,a844),f857(x93062,a844))),f775(f775(f241(f857(x93062,a844),f857(x93062,a844)),x93064),x93061)),f324(x93062,x93063)))+P1(f775(f775(f334(x93062),f539(x93063,x93061,x93064,x93062)),x93064))
% 184.29/184.11 [9307]E(x93071,f180(f857(x93072,a844)))+~P1(f775(f63(x93072),x93074))+~P1(f775(f63(x93072),x93071))+P1(f775(f775(f334(f856(f857(x93072,a844),f857(x93072,a844))),f775(f775(f241(f857(x93072,a844),f857(x93072,a844)),x93074),x93071)),f324(x93072,x93073)))+P1(f775(f775(f334(x93072),f623(x93073,x93071,x93074,x93072)),x93074))
% 184.29/184.11 [9950]E(f775(x99501,f818(x99502,x99501,x99503,x99504)),x99502)+~P1(f775(f775(f232(a1),x99502),f775(x99501,x99503)))+~P1(f775(f775(f232(a1),f775(f77(a1),f775(f775(f3(a1),f775(x99501,f775(f775(f82(a850),f819(x99502,x99501,x99503,x99504)),f80(a850)))),f775(x99501,f819(x99502,x99501,x99503,x99504))))),f80(a1)))+~P1(f775(f775(f233(a850),x99504),x99503))+~P1(f775(f775(f232(a1),f775(x99501,x99504)),x99502))
% 184.29/184.11 [9951]~P1(f775(f775(f232(a1),x99512),f775(x99513,x99514)))+P1(f775(f775(f232(a850),x99511),f818(x99512,x99513,x99514,x99511)))+~P1(f775(f775(f232(a1),f775(f77(a1),f775(f775(f3(a1),f775(x99513,f775(f775(f82(a850),f819(x99512,x99513,x99514,x99511)),f80(a850)))),f775(x99513,f819(x99512,x99513,x99514,x99511))))),f80(a1)))+~P1(f775(f775(f233(a850),x99511),x99514))+~P1(f775(f775(f232(a1),f775(x99513,x99511)),x99512))
% 184.29/184.11 [9952]~P1(f775(f775(f232(a1),x99521),f775(x99522,x99523)))+~P1(f775(f775(f232(a1),f775(f77(a1),f775(f775(f3(a1),f775(x99522,f775(f775(f82(a850),f819(x99521,x99522,x99523,x99524)),f80(a850)))),f775(x99522,f819(x99521,x99522,x99523,x99524))))),f80(a1)))+~P1(f775(f775(f233(a850),x99524),x99523))+~P1(f775(f775(f232(a1),f775(x99522,x99524)),x99521))+P1(f775(f775(f232(a850),f818(x99521,x99522,x99523,x99524)),x99523))
% 184.29/184.11 [7129]~P62(x71291)+P1(f775(f775(f233(x71291),x71292),f2(x71291)))+~P1(f775(f775(f233(x71291),x71293),f2(x71291)))+P1(f775(f775(f233(x71291),f2(x71291)),x71292))+P1(f775(f775(f233(x71291),x71293),f775(f775(f283(x71291),x71294),x71292)))
% 184.29/184.11 [7130]~P62(x71301)+P1(f775(f775(f233(x71301),x71302),f2(x71301)))+~P1(f775(f775(f232(x71301),x71303),f2(x71301)))+P1(f775(f775(f233(x71301),f2(x71301)),x71302))+P1(f775(f775(f232(x71301),x71303),f775(f775(f283(x71301),x71304),x71302)))
% 184.29/184.11 [7401]~P62(x74011)+P1(f775(f775(f233(x74011),x74012),f2(x74011)))+P1(f775(f775(f233(x74011),x74013),f2(x74011)))+P1(f775(f775(f233(x74011),f2(x74011)),x74013))+~P1(f775(f775(f233(x74011),x74012),f775(f775(f283(x74011),x74014),x74013)))
% 184.29/184.11 [7402]~P62(x74021)+P1(f775(f775(f233(x74021),x74022),f2(x74021)))+P1(f775(f775(f232(x74021),x74023),f2(x74021)))+P1(f775(f775(f233(x74021),f2(x74021)),x74022))+~P1(f775(f775(f232(x74021),x74023),f775(f775(f283(x74021),x74024),x74022)))
% 184.29/184.11 [7521]E(x75211,x75212)+~E(f775(f775(f153(x75213),x75214),x75211),f775(f775(f153(x75213),x75214),x75212))+~P1(f775(f127(x75213),x75214))+~P1(f775(f775(f233(a850),x75212),f775(f181(f851(x75213)),x75214)))+~P1(f775(f775(f233(a850),x75211),f775(f181(f851(x75213)),x75214)))
% 184.29/184.11 [7888]~P62(x78881)+~P1(f775(f775(f233(x78881),x78883),f2(x78881)))+P1(f775(f775(f233(x78881),f2(x78881)),x78882))+~P1(f775(f775(f233(x78881),x78884),f775(f775(f83(x78881),x78883),x78882)))+P1(f775(f775(f233(x78881),x78883),f775(f775(f283(x78881),x78884),x78882)))
% 184.29/184.11 [7889]~P62(x78891)+~P1(f775(f775(f232(x78891),x78893),f2(x78891)))+P1(f775(f775(f233(x78891),f2(x78891)),x78892))+~P1(f775(f775(f232(x78891),x78894),f775(f775(f83(x78891),x78893),x78892)))+P1(f775(f775(f232(x78891),x78893),f775(f775(f283(x78891),x78894),x78892)))
% 184.29/184.11 [7890]~P62(x78901)+~P1(f775(f775(f233(x78901),x78902),f2(x78901)))+P1(f775(f775(f233(x78901),f2(x78901)),x78902))+~P1(f775(f775(f233(x78901),x78904),f775(f775(f83(x78901),x78903),x78902)))+P1(f775(f775(f233(x78901),x78903),f775(f775(f283(x78901),x78904),x78902)))
% 184.29/184.11 [7891]~P62(x78911)+~P1(f775(f775(f233(x78911),x78912),f2(x78911)))+P1(f775(f775(f233(x78911),f2(x78911)),x78912))+~P1(f775(f775(f233(x78911),x78914),f775(f775(f283(x78911),x78913),x78912)))+P1(f775(f775(f233(x78911),x78913),f775(f775(f83(x78911),x78914),x78912)))
% 184.29/184.11 [7892]~P62(x78921)+~P1(f775(f775(f233(x78921),x78922),f2(x78921)))+P1(f775(f775(f233(x78921),f2(x78921)),x78922))+~P1(f775(f775(f232(x78921),x78924),f775(f775(f83(x78921),x78923),x78922)))+P1(f775(f775(f232(x78921),x78923),f775(f775(f283(x78921),x78924),x78922)))
% 184.29/184.11 [7893]~P62(x78931)+~P1(f775(f775(f233(x78931),x78932),f2(x78931)))+P1(f775(f775(f233(x78931),f2(x78931)),x78932))+~P1(f775(f775(f232(x78931),x78934),f775(f775(f283(x78931),x78933),x78932)))+P1(f775(f775(f232(x78931),x78933),f775(f775(f83(x78931),x78934),x78932)))
% 184.29/184.11 [8018]~P7(x80181)+~P1(f775(f775(f279(x80181),x80183),x80184))+~P1(f775(f775(f279(x80181),x80183),x80182))+~P1(f775(f775(f279(x80181),x80182),x80184))+P1(f775(f775(f279(x80181),f775(f775(f43(x80181),x80182),x80183)),f775(f775(f43(x80181),x80184),x80183)))
% 184.29/184.11 [8033]~P100(x80331)+~P18(x80331,x80332)+~P1(f775(f775(f232(a850),x80333),x80334))+P1(f775(f775(f232(x80331),f775(f775(f153(x80331),x80332),x80333)),f775(f775(f153(x80331),x80332),x80334)))+~P1(f775(f775(f233(a850),x80334),f775(f181(f851(x80331)),x80332)))
% 184.29/184.11 [8083]~P117(x80831)+~P1(f775(f775(f233(x80831),x80832),f80(x80831)))+~P1(f775(f775(f233(x80831),f2(x80831)),x80832))+~P1(f775(f775(f233(a850),x80834),x80833))+P1(f775(f775(f233(x80831),f775(f775(f242(x80831),x80832),x80833)),f775(f775(f242(x80831),x80832),x80834)))
% 184.29/184.11 [8084]~P117(x80841)+~P1(f775(f775(f232(x80841),x80842),f80(x80841)))+~P1(f775(f775(f232(x80841),f2(x80841)),x80842))+~P1(f775(f775(f232(a850),x80844),x80843))+P1(f775(f775(f232(x80841),f775(f775(f242(x80841),x80842),x80843)),f775(f775(f242(x80841),x80842),x80844)))
% 184.29/184.11 [8085]~P117(x80851)+~P1(f775(f775(f232(x80851),f2(x80851)),x80852))+~P1(f775(f775(f233(a850),f2(a850)),x80853))+~P1(f775(f775(f233(x80851),x80852),x80854))+P1(f775(f775(f233(x80851),f775(f775(f242(x80851),x80852),x80853)),f775(f775(f242(x80851),x80854),x80853)))
% 184.29/184.11 [8103]~P100(x81031)+~P18(x81031,f775(f142(x81031),x81032))+~P1(f775(f775(f232(a850),x81034),x81033))+P1(f775(f775(f232(x81031),f775(f775(f153(x81031),x81032),x81033)),f775(f775(f153(x81031),x81032),x81034)))+~P1(f775(f775(f233(a850),x81033),f775(f181(f851(x81031)),x81032)))
% 184.29/184.11 [8331]~P7(x83311)+P1(f775(f775(f279(x83311),x83312),x83313))+~P1(f775(f775(f279(x83311),x83314),x83313))+~P1(f775(f775(f279(x83311),x83314),x83312))+~P1(f775(f775(f279(x83311),f775(f775(f43(x83311),x83312),x83314)),f775(f775(f43(x83311),x83313),x83314)))
% 184.29/184.11 [8348]~P63(x83481)+~P1(f775(f775(f233(x83481),x83482),f2(x83481)))+~P1(f775(f775(f233(x83481),x83483),x83484))+~P1(f775(f775(f233(x83481),f2(x83481)),f775(f775(f83(x83481),x83483),x83484)))+P1(f775(f775(f233(x83481),f775(f775(f283(x83481),x83482),x83483)),f775(f775(f283(x83481),x83482),x83484)))
% 184.29/184.11 [8349]~P62(x83491)+~P1(f775(f775(f232(x83491),x83492),f2(x83491)))+~P1(f775(f775(f232(x83491),x83493),x83494))+~P1(f775(f775(f233(x83491),f2(x83491)),f775(f775(f83(x83491),x83493),x83494)))+P1(f775(f775(f232(x83491),f775(f775(f283(x83491),x83492),x83493)),f775(f775(f283(x83491),x83492),x83494)))
% 184.29/184.11 [8359]~P63(x83591)+~P1(f775(f775(f233(x83591),x83594),x83593))+~P1(f775(f775(f233(x83591),f2(x83591)),x83592))+~P1(f775(f775(f233(x83591),f2(x83591)),f775(f775(f83(x83591),x83593),x83594)))+P1(f775(f775(f233(x83591),f775(f775(f283(x83591),x83592),x83593)),f775(f775(f283(x83591),x83592),x83594)))
% 184.29/184.11 [8360]~P63(x83601)+~P1(f775(f775(f232(x83601),x83604),x83603))+~P1(f775(f775(f232(x83601),f2(x83601)),x83602))+~P1(f775(f775(f233(x83601),f2(x83601)),f775(f775(f83(x83601),x83603),x83604)))+P1(f775(f775(f232(x83601),f775(f775(f283(x83601),x83602),x83603)),f775(f775(f283(x83601),x83602),x83604)))
% 184.29/184.11 [8468]P1(f775(x84681,x84682))+~P1(f775(f63(x84684),x84682))+P1(f775(x84681,f486(x84681,x84683,x84682,x84684)))+~P1(f775(x84681,f180(f857(x84684,a844))))+~P1(f775(f775(f232(f857(x84684,a844)),x84682),x84683))
% 184.29/184.11 [8476]P1(f775(x84761,x84762))+P1(f775(f63(x84763),f486(x84761,x84764,x84762,x84763)))+~P1(f775(f63(x84763),x84762))+~P1(f775(x84761,f180(f857(x84763,a844))))+~P1(f775(f775(f232(f857(x84763,a844)),x84762),x84764))
% 184.29/184.11 [8704]E(f775(f775(f82(a1),f436(x87041,x87042,x87043,x87044)),f437(x87041,x87042,x87043,x87044)),x87044)+~P1(f775(f775(f233(a1),f2(a1)),x87043))+~P1(f775(f775(f233(a1),x87042),x87044))+~P1(f775(f775(f334(a1),x87042),x87041))+P1(f775(f775(f233(a1),x87042),f775(f775(f3(a1),x87044),x87043)))
% 184.29/184.11 [8890]~P1(f775(f775(f233(a1),f2(a1)),x88903))+~P1(f775(f775(f233(a1),x88902),x88904))+~P1(f775(f775(f334(a1),x88902),x88901))+P1(f775(f775(f334(a1),f436(x88901,x88902,x88903,x88904)),x88901))+P1(f775(f775(f233(a1),x88902),f775(f775(f3(a1),x88904),x88903)))
% 184.29/184.11 [8903]P1(f775(x89031,x89032))+~P1(f775(f63(x89033),x89032))+P1(f775(f775(f334(x89033),f487(x89031,x89034,x89032,x89033)),x89034))+~P1(f775(x89031,f180(f857(x89033,a844))))+~P1(f775(f775(f232(f857(x89033,a844)),x89032),x89034))
% 184.29/184.11 [8920]E(f775(f775(f82(a1),f428(x89201,x89202,x89203,x89204)),f429(x89201,x89202,x89203,x89204)),x89204)+~P1(f775(f775(f233(a1),f2(a1)),x89203))+~P1(f775(f775(f232(a1),x89202),x89204))+P1(f775(f775(f232(a1),x89202),f775(f775(f3(a1),x89204),x89203)))+~P1(f775(f775(f334(a1),f775(f775(f3(a1),x89202),f80(a1))),x89201))
% 184.29/184.11 [8967]~P1(f775(f775(f233(a1),f2(a1)),x89673))+~P1(f775(f775(f233(a1),x89671),x89672))+~P1(f775(f775(f334(a1),x89671),x89674))+P1(f775(f775(f334(a1),f437(x89674,x89671,x89673,x89672)),f295(a1,f80(a1),x89673)))+P1(f775(f775(f233(a1),x89671),f775(f775(f3(a1),x89672),x89673)))
% 184.29/184.11 [9060]~P1(f775(f775(f233(a1),f2(a1)),x90603))+~P1(f775(f775(f232(a1),x90602),x90604))+P1(f775(f775(f334(a1),f428(x90601,x90602,x90603,x90604)),x90601))+P1(f775(f775(f232(a1),x90602),f775(f775(f3(a1),x90604),x90603)))+~P1(f775(f775(f334(a1),f775(f775(f3(a1),x90602),f80(a1))),x90601))
% 184.29/184.11 [9098]~P1(f775(f775(f233(a1),f2(a1)),x90983))+~P1(f775(f775(f232(a1),x90981),x90982))+P1(f775(f775(f334(a1),f429(x90984,x90981,x90983,x90982)),f295(a1,f80(a1),x90983)))+P1(f775(f775(f232(a1),x90981),f775(f775(f3(a1),x90982),x90983)))+~P1(f775(f775(f334(a1),f775(f775(f3(a1),x90981),f80(a1))),x90984))
% 184.29/184.11 [9309]P1(f775(x93091,x93092))+~P1(f775(f775(f334(x93093),f487(x93091,x93094,x93092,x93093)),f486(x93091,x93094,x93092,x93093)))+~P1(f775(f63(x93093),x93092))+~P1(f775(x93091,f180(f857(x93093,a844))))+~P1(f775(f775(f232(f857(x93093,a844)),x93092),x93094))
% 184.29/184.11 [9513]P1(f775(x95131,x95132))+~P1(f775(f63(x95133),x95132))+~P1(f775(x95131,f775(f775(f302(x95133),f487(x95131,x95134,x95132,x95133)),f486(x95131,x95134,x95132,x95133))))+~P1(f775(x95131,f180(f857(x95133,a844))))+~P1(f775(f775(f232(f857(x95133,a844)),x95132),x95134))
% 184.29/184.11 [9832]~P99(x98323)+~P52(a850,x98323,f775(f775(f20(a850,f857(a850,a844),f857(a850,a844)),f775(f775(f10(f857(a850,f857(a844,a844)),f857(f857(a850,a844),f857(a850,a844)),a850),f20(a850,a844,a844)),f775(f775(f10(f857(a850,a844),f857(a850,f857(a844,a844)),a850),f775(f10(a844,f857(a844,a844),a850),a331)),f279(a850)))),f775(f775(f10(f857(a850,a844),f857(a850,a844),a850),f775(f10(a844,a844,a850),a328)),f775(f9(a850,a850,a844),f279(a850)))),x98324)+P1(f775(f775(f233(x98323),f775(x98324,x98322)),f775(x98324,x98321)))+~P1(f775(f775(f279(a850),x98322),x98321))+P1(f775(f775(f279(a850),x98321),x98322))
% 184.29/184.11 [7660]~P62(x76601)+P1(f775(f775(f233(x76601),x76602),f2(x76601)))+P1(f775(f775(f233(x76601),f2(x76601)),x76602))+~P1(f775(f775(f233(x76601),f2(x76601)),x76604))+P1(f775(f775(f233(x76601),f775(f775(f283(x76601),x76603),x76602)),x76604))
% 184.29/184.11 [7661]~P62(x76611)+P1(f775(f775(f233(x76611),x76612),f2(x76611)))+~P1(f775(f775(f232(x76611),f2(x76611)),x76614))+P1(f775(f775(f233(x76611),f2(x76611)),x76612))+P1(f775(f775(f232(x76611),f775(f775(f283(x76611),x76613),x76612)),x76614))
% 184.29/184.11 [7944]~P1(f775(f775(f232(a1),x79444),f2(a1)))+~E(x79442,f775(f775(f82(a1),f775(f775(f83(a1),x79441),x79443)),x79444))+P1(f775(f775(f233(a1),f2(a1)),x79441))+~P1(f775(f775(f233(a1),x79441),x79444))+P1(f775(f56(x79442,x79441),f775(f775(f241(a1,a1),x79443),x79444)))
% 184.29/184.11 [7981]~P1(f775(x79811,x79814))+P1(f775(x79811,f807(x79812,x79811,x79813)))+~P1(f775(f775(f233(a1),f2(a1)),x79813))+~P1(f775(f775(f232(a1),f2(a1)),x79812))+P1(f775(x79811,f775(f775(f82(a1),x79814),f775(f775(f83(a1),x79812),x79813))))
% 184.29/184.11 [7982]~P1(f775(x79821,x79824))+P1(f775(x79821,f812(x79822,x79821,x79823)))+~P1(f775(f775(f233(a1),f2(a1)),x79823))+~P1(f775(f775(f232(a1),f2(a1)),x79822))+P1(f775(x79821,f775(f775(f3(a1),x79824),f775(f775(f83(a1),x79822),x79823))))
% 184.29/184.11 [7983]~P62(x79831)+P1(f775(f775(f233(x79831),x79832),f2(x79831)))+P1(f775(f775(f233(x79831),f2(x79831)),x79832))+P1(f775(f775(f233(x79831),f2(x79831)),x79833))+~P1(f775(f775(f233(x79831),f775(f775(f283(x79831),x79834),x79832)),x79833))
% 184.29/184.11 [7984]~P62(x79841)+P1(f775(f775(f233(x79841),x79842),f2(x79841)))+P1(f775(f775(f233(x79841),f2(x79841)),x79842))+P1(f775(f775(f232(x79841),f2(x79841)),x79843))+~P1(f775(f775(f232(x79841),f775(f775(f283(x79841),x79844),x79842)),x79843))
% 184.29/184.11 [8028]~E(x80281,f775(f775(f82(a1),f775(f775(f83(a1),x80282),x80283)),x80284))+~P1(f775(f775(f233(a1),f2(a1)),x80282))+~P1(f775(f775(f232(a1),f2(a1)),x80284))+~P1(f775(f775(f233(a1),x80284),x80282))+P1(f775(f56(x80281,x80282),f775(f775(f241(a1,a1),x80283),x80284)))
% 184.29/184.11 [8145]~P62(x81451)+P1(f775(f775(f233(x81451),x81452),f2(x81451)))+~P1(f775(f775(f233(x81451),f2(x81451)),x81454))+~P1(f775(f775(f233(x81451),x81453),f775(f775(f83(x81451),x81454),x81452)))+P1(f775(f775(f233(x81451),f775(f775(f283(x81451),x81453),x81452)),x81454))
% 184.29/184.11 [8146]~P62(x81461)+P1(f775(f775(f233(x81461),x81462),f2(x81461)))+~P1(f775(f775(f232(x81461),f2(x81461)),x81464))+~P1(f775(f775(f232(x81461),x81463),f775(f775(f83(x81461),x81464),x81462)))+P1(f775(f775(f232(x81461),f775(f775(f283(x81461),x81463),x81462)),x81464))
% 184.29/184.11 [8224]~P62(x82241)+P1(f775(f775(f233(x82241),x82242),f2(x82241)))+~P1(f775(f775(f233(x82241),x82243),f2(x82241)))+P1(f775(f775(f233(x82241),x82243),f775(f775(f283(x82241),x82244),x82242)))+~P1(f775(f775(f233(x82241),f775(f775(f83(x82241),x82243),x82242)),x82244))
% 184.29/184.11 [8225]~P62(x82251)+P1(f775(f775(f233(x82251),x82252),f2(x82251)))+~P1(f775(f775(f232(x82251),x82253),f2(x82251)))+P1(f775(f775(f232(x82251),x82253),f775(f775(f283(x82251),x82254),x82252)))+~P1(f775(f775(f232(x82251),f775(f775(f83(x82251),x82253),x82252)),x82254))
% 184.29/184.11 [8384]~P62(x83841)+~P1(f775(f775(f233(x83841),x83842),f2(x83841)))+P1(f775(f775(f233(x83841),f2(x83841)),x83842))+~P1(f775(f775(f233(x83841),f775(f775(f283(x83841),x83844),x83842)),x83843))+P1(f775(f775(f233(x83841),f775(f775(f83(x83841),x83843),x83842)),x83844))
% 184.29/184.11 [8385]~P62(x83851)+~P1(f775(f775(f233(x83851),x83852),f2(x83851)))+P1(f775(f775(f233(x83851),f2(x83851)),x83852))+~P1(f775(f775(f233(x83851),f775(f775(f83(x83851),x83854),x83852)),x83853))+P1(f775(f775(f233(x83851),f775(f775(f283(x83851),x83853),x83852)),x83854))
% 184.29/184.11 [8386]~P62(x83861)+~P1(f775(f775(f233(x83861),x83862),f2(x83861)))+P1(f775(f775(f233(x83861),f2(x83861)),x83862))+~P1(f775(f775(f232(x83861),f775(f775(f283(x83861),x83864),x83862)),x83863))+P1(f775(f775(f232(x83861),f775(f775(f83(x83861),x83863),x83862)),x83864))
% 184.29/184.11 [8387]~P62(x83871)+~P1(f775(f775(f233(x83871),x83872),f2(x83871)))+P1(f775(f775(f233(x83871),f2(x83871)),x83872))+~P1(f775(f775(f232(x83871),f775(f775(f83(x83871),x83874),x83872)),x83873))+P1(f775(f775(f232(x83871),f775(f775(f283(x83871),x83873),x83872)),x83874))
% 184.29/184.11 [8406]~P62(x84061)+~P1(f775(f775(f233(x84061),f2(x84061)),x84064))+P1(f775(f775(f233(x84061),f2(x84061)),x84062))+~P1(f775(f775(f233(x84061),f775(f775(f83(x84061),x84064),x84062)),x84063))+P1(f775(f775(f233(x84061),f775(f775(f283(x84061),x84063),x84062)),x84064))
% 184.29/184.11 [8407]~P62(x84071)+~P1(f775(f775(f232(x84071),f2(x84071)),x84074))+P1(f775(f775(f233(x84071),f2(x84071)),x84072))+~P1(f775(f775(f232(x84071),f775(f775(f83(x84071),x84074),x84072)),x84073))+P1(f775(f775(f232(x84071),f775(f775(f283(x84071),x84073),x84072)),x84074))
% 184.29/184.11 [8484]~P62(x84841)+~P1(f775(f775(f233(x84841),x84844),f2(x84841)))+~P1(f775(f775(f233(x84841),x84843),f775(f775(f83(x84841),x84842),x84844)))+P1(f775(f775(f233(x84841),x84842),f775(f775(f283(x84841),x84843),x84844)))+~P1(f775(f775(f233(x84841),f775(f775(f83(x84841),x84842),x84844)),x84843))
% 184.29/184.11 [8485]~P62(x84851)+~P1(f775(f775(f233(x84851),x84852),f2(x84851)))+~P1(f775(f775(f233(x84851),x84853),f775(f775(f83(x84851),x84852),x84854)))+P1(f775(f775(f233(x84851),x84852),f775(f775(f283(x84851),x84853),x84854)))+~P1(f775(f775(f233(x84851),f775(f775(f83(x84851),x84852),x84854)),x84853))
% 184.29/184.11 [8486]~P62(x84861)+~P1(f775(f775(f233(x84861),x84864),f2(x84861)))+~P1(f775(f775(f232(x84861),x84863),f775(f775(f83(x84861),x84862),x84864)))+P1(f775(f775(f232(x84861),x84862),f775(f775(f283(x84861),x84863),x84864)))+~P1(f775(f775(f232(x84861),f775(f775(f83(x84861),x84862),x84864)),x84863))
% 184.29/184.11 [8487]~P62(x84871)+~P1(f775(f775(f232(x84871),x84872),f2(x84871)))+~P1(f775(f775(f232(x84871),x84873),f775(f775(f83(x84871),x84872),x84874)))+P1(f775(f775(f232(x84871),x84872),f775(f775(f283(x84871),x84873),x84874)))+~P1(f775(f775(f232(x84871),f775(f775(f83(x84871),x84872),x84874)),x84873))
% 184.29/184.11 [8586]~P62(x85861)+~P1(f775(f775(f233(x85861),x85863),f2(x85861)))+~P1(f775(f775(f233(x85861),x85862),f775(f775(f83(x85861),x85864),x85863)))+~P1(f775(f775(f233(x85861),f775(f775(f83(x85861),x85864),x85863)),x85862))+P1(f775(f775(f233(x85861),f775(f775(f283(x85861),x85862),x85863)),x85864))
% 184.29/184.11 [8587]~P62(x85871)+~P1(f775(f775(f233(x85871),x85873),f2(x85871)))+~P1(f775(f775(f232(x85871),x85872),f775(f775(f83(x85871),x85874),x85873)))+~P1(f775(f775(f232(x85871),f775(f775(f83(x85871),x85874),x85873)),x85872))+P1(f775(f775(f232(x85871),f775(f775(f283(x85871),x85872),x85873)),x85874))
% 184.29/184.11 [8601]~P62(x86011)+~P1(f775(f775(f233(x86011),f2(x86011)),x86014))+~P1(f775(f775(f233(x86011),x86012),f775(f775(f83(x86011),x86014),x86013)))+~P1(f775(f775(f233(x86011),f775(f775(f83(x86011),x86014),x86013)),x86012))+P1(f775(f775(f233(x86011),f775(f775(f283(x86011),x86012),x86013)),x86014))
% 184.29/184.11 [8602]~P62(x86021)+~P1(f775(f775(f232(x86021),f2(x86021)),x86024))+~P1(f775(f775(f232(x86021),x86022),f775(f775(f83(x86021),x86024),x86023)))+~P1(f775(f775(f232(x86021),f775(f775(f83(x86021),x86024),x86023)),x86022))+P1(f775(f775(f232(x86021),f775(f775(f283(x86021),x86022),x86023)),x86024))
% 184.29/184.11 [8759]E(f775(f775(f3(a1),f438(x87591,x87592,x87593,x87594)),f439(x87591,x87592,x87593,x87594)),x87594)+~P1(f775(f775(f233(a1),f2(a1)),x87593))+~P1(f775(f775(f334(a1),x87592),x87591))+~P1(f775(f775(f233(a1),x87594),x87592))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x87594),x87593)),x87592))
% 184.29/184.11 [8820]~P1(f775(x88201,x88202))+~P1(f775(f775(f233(a1),f2(a1)),x88204))+~P1(f775(f775(f232(a1),f2(a1)),x88203))+~P1(f775(x88201,f775(f775(f82(a1),f807(x88203,x88201,x88204)),x88204)))+P1(f775(x88201,f775(f775(f82(a1),x88202),f775(f775(f83(a1),x88203),x88204))))
% 184.29/184.11 [8821]~P1(f775(x88211,x88212))+~P1(f775(f775(f233(a1),f2(a1)),x88214))+~P1(f775(f775(f232(a1),f2(a1)),x88213))+~P1(f775(x88211,f775(f775(f3(a1),f812(x88213,x88211,x88214)),x88214)))+P1(f775(x88211,f775(f775(f3(a1),x88212),f775(f775(f83(a1),x88213),x88214))))
% 184.29/184.11 [8960]~P1(f775(f775(f233(a1),f2(a1)),x89603))+~P1(f775(f775(f334(a1),x89602),x89601))+~P1(f775(f775(f233(a1),x89604),x89602))+P1(f775(f775(f334(a1),f438(x89601,x89602,x89603,x89604)),x89601))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x89604),x89603)),x89602))
% 184.29/184.11 [8980]E(f775(f775(f3(a1),f431(x89801,x89802,x89803,x89804)),f432(x89801,x89802,x89803,x89804)),x89804)+~P1(f775(f775(f233(a1),f2(a1)),x89803))+~P1(f775(f775(f232(a1),x89804),x89802))+~P1(f775(f775(f334(a1),f775(f775(f82(a1),x89802),f80(a1))),x89801))+P1(f775(f775(f232(a1),f775(f775(f82(a1),x89804),x89803)),x89802))
% 184.29/184.11 [9012]~P1(f775(f775(f233(a1),f2(a1)),x90122))+~P1(f775(f775(f334(a1),x90123),x90124))+~P1(f775(f775(f233(a1),x90121),x90123))+P1(f775(f775(f334(a1),f439(x90124,x90123,x90122,x90121)),f295(a1,f80(a1),x90122)))+P1(f775(f775(f233(a1),f775(f775(f82(a1),x90121),x90122)),x90123))
% 184.29/184.11 [9091]~P1(f775(f775(f233(a1),f2(a1)),x90913))+~P1(f775(f775(f232(a1),x90914),x90912))+P1(f775(f775(f334(a1),f431(x90911,x90912,x90913,x90914)),x90911))+~P1(f775(f775(f334(a1),f775(f775(f82(a1),x90912),f80(a1))),x90911))+P1(f775(f775(f232(a1),f775(f775(f82(a1),x90914),x90913)),x90912))
% 184.29/184.11 [9130]~P1(f775(f775(f233(a1),f2(a1)),x91302))+~P1(f775(f775(f232(a1),x91301),x91303))+P1(f775(f775(f334(a1),f432(x91304,x91303,x91302,x91301)),f295(a1,f80(a1),x91302)))+~P1(f775(f775(f334(a1),f775(f775(f82(a1),x91303),f80(a1))),x91304))+P1(f775(f775(f232(a1),f775(f775(f82(a1),x91301),x91302)),x91303))
% 184.29/184.11 [9396]~P36(x93961,x93963)+~P30(x93961,x93964)+P36(x93961,f775(f775(f103(f857(f856(x93961,x93961),a844)),x93962),x93963))+~P1(f775(f775(f232(f857(f856(x93961,x93961),a844)),x93962),f775(f240(f857(f856(x93961,x93961),a844),f857(f856(x93961,x93961),a844)),x93964)))+~P1(f775(f775(f232(f857(f856(x93961,x93961),a844)),x93963),f775(f250(f857(f856(x93961,x93961),a844),f857(f856(x93961,x93961),a844)),x93964)))
% 184.29/184.11 [9664]~E(f775(f707(x96641,x96644,x96643,x96642),f711(x96641,x96644,x96643,x96642)),f183(f851(a842)))+P1(f775(f775(f233(a1),f710(x96641,x96644,x96643,x96642)),f711(x96641,x96644,x96643,x96642)))+P1(f775(f775(f775(x96641,x96642),x96643),x96644))+P1(f775(f775(f775(x96641,f707(x96641,x96644,x96643,x96642)),f710(x96641,x96644,x96643,x96642)),f775(f775(f82(a1),f711(x96641,x96644,x96643,x96642)),f80(a1))))+~P1(f775(f321(f856(f857(a1,f854(f851(a842))),f856(a1,a1)),a311),f775(f775(f241(f857(a1,f854(f851(a842))),f856(a1,a1)),x96642),f775(f775(f241(a1,a1),x96643),x96644))))
% 184.29/184.11 [9765]~P22(x97652,x97654,x97653)+E(x97651,f180(f857(x97652,a844)))+~P1(f775(f63(x97652),x97651))+P1(f775(f775(f334(x97652),f775(x97653,x97651)),x97651))+~P1(f775(f775(f334(x97652),f775(f775(x97654,f458(x97651,x97653,x97654,x97652)),f459(x97651,x97653,x97654,x97652))),f775(f775(f302(x97652),f458(x97651,x97653,x97654,x97652)),f775(f775(f302(x97652),f459(x97651,x97653,x97654,x97652)),f180(f857(x97652,a844))))))
% 184.29/184.11 [9316]~P53(x93161,x93161,x93164)+P1(f775(f775(f334(f856(x93161,x93161)),f775(f775(f241(x93161,x93161),x93162),x93163)),f300(x93161,x93164)))+P1(f775(f775(f334(f856(x93161,x93161)),f775(f775(f241(x93161,x93161),x93163),x93162)),f300(x93161,x93164)))+~P1(f775(f775(f334(f856(x93161,x93161)),f775(f775(f241(x93161,x93161),x93165),x93162)),f300(x93161,x93164)))+~P1(f775(f775(f334(f856(x93161,x93161)),f775(f775(f241(x93161,x93161),x93165),x93163)),f300(x93161,x93164)))
% 184.29/184.11 [5492]E(x54921,f2(a850))+~E(f775(f42(x54922),x54925),x54921)+E(f775(f42(x54922),x54923),f775(a114,x54921))+~E(x54923,f775(f775(f302(x54922),x54924),x54925))+P1(f775(f775(f334(x54922),x54924),x54925))
% 184.29/184.11 [5613]~P61(x56132)+E(x56131,f2(x56132))+E(x56133,f2(x56132))+~E(f775(f775(f283(x56132),x56134),x56133),f775(f775(f283(x56132),x56135),x56131))+E(f775(f775(f83(x56132),x56134),x56131),f775(f775(f83(x56132),x56135),x56133))
% 184.29/184.11 [5614]~P61(x56142)+E(x56141,f2(x56142))+E(x56143,f2(x56142))+~E(f775(f775(f83(x56142),x56144),x56143),f775(f775(f83(x56142),x56145),x56141))+E(f775(f775(f283(x56142),x56144),x56141),f775(f775(f283(x56142),x56145),x56143))
% 184.29/184.11 [5687]~E(f775(f42(x56871),x56875),x56873)+~E(x56875,f180(f857(x56871,a844)))+E(f775(f42(x56871),x56872),f775(a114,x56873))+~E(x56872,f775(f775(f302(x56871),x56874),x56875))+P1(f775(f775(f334(x56871),x56874),x56875))
% 184.29/184.11 [5914]~P85(x59142)+~E(f775(x59143,x59145),f2(x59142))+E(f775(f775(f11(x59141,x59142),x59143),x59144),f2(x59142))+~P1(f775(f63(x59141),x59144))+~P1(f775(f775(f334(x59141),x59145),x59144))
% 184.29/184.11 [6299]~P100(x62993)+E(x62991,x62992)+~E(f775(f294(x62993,x62994),x62991),f775(f294(x62993,x62995),x62992))+~P1(f775(f775(f233(x62993),x62995),x62992))+~P1(f775(f775(f233(x62993),x62994),x62991))
% 184.29/184.11 [6300]~P100(x63003)+E(x63001,x63002)+~E(f775(f294(x63003,x63001),x63004),f775(f294(x63003,x63002),x63005))+~P1(f775(f775(f233(x63003),x63002),x63005))+~P1(f775(f775(f233(x63003),x63001),x63004))
% 184.29/184.11 [7415]~P100(x74151)+~P18(x74151,f775(f775(f125(x74151),x74154),x74155))+~P1(f775(f775(f334(x74151),x74153),f775(f158(x74151),x74155)))+~P1(f775(f775(f334(x74151),x74152),f775(f158(x74151),x74154)))+P1(f775(f775(f232(x74151),x74152),x74153))
% 184.29/184.11 [8518]~P99(x85181)+~P1(f775(f775(f233(f857(x85181,a844)),f295(x85181,x85185,x85182)),f295(x85181,x85184,x85183)))+~P1(f775(f775(f232(x85181),x85185),x85182))+P1(f775(f775(f233(x85181),x85182),x85183))+P1(f775(f775(f233(x85181),x85184),x85185))
% 184.29/184.11 [9809]~P21(x98092,x98095,x98093)+E(x98091,f180(f857(x98092,a844)))+~E(f775(f775(x98095,f775(x98094,f576(x98091,x98094,x98093,x98095,x98092))),f775(x98094,f577(x98091,x98094,x98093,x98095,x98092))),f775(x98094,f775(f775(x98095,f576(x98091,x98094,x98093,x98095,x98092)),f577(x98091,x98094,x98093,x98095,x98092))))+E(f775(x98093,f775(f303(x98092,x98092,x98094),x98091)),f775(x98094,f775(x98093,x98091)))+~P1(f775(f63(x98092),x98091))
% 184.29/184.11 [6296]~P22(x62962,x62965,x62963)+E(x62961,f180(f857(x62962,a844)))+~P1(f775(f63(x62962),x62961))+E(f775(x62963,f775(f775(f302(x62962),x62964),x62961)),f775(f775(x62965,x62964),f775(x62963,x62961)))+P1(f775(f775(f334(x62962),x62964),x62961))
% 184.29/184.11 [7152]~P21(x71522,x71523,x71524)+E(f775(f775(x71523,f775(x71524,x71521)),f775(x71524,x71525)),f775(x71524,x71525))+E(x71521,f180(f857(x71522,a844)))+~P1(f775(f63(x71522),x71525))+~P1(f775(f775(f232(f857(x71522,a844)),x71521),x71525))
% 184.29/184.11 [7556]~P22(x75564,x75565,x75561)+E(f775(x75561,x75562),x75563)+~P1(f775(f63(x75564),x75562))+~E(f775(f775(f3(f857(x75564,a844)),x75562),f775(f775(f302(x75564),x75563),f180(f857(x75564,a844)))),f180(f857(x75564,a844)))+~P1(f775(f775(f334(x75564),x75563),x75562))
% 184.29/184.11 [7703]E(x77031,x77032)+~E(f775(f181(f851(x77033)),x77032),f775(f181(f851(x77034)),x77035))+~E(f775(f181(f851(x77033)),x77031),f775(f181(f851(x77034)),x77035))+~E(f166(x77034,x77033,f775(f775(f167(x77034,x77033),x77035),x77031)),f166(x77034,x77033,f775(f775(f167(x77034,x77033),x77035),x77032)))+~P1(f775(f127(x77034),x77035))
% 184.29/184.11 [8441]~P70(x84411)+~P112(x84411)+~P1(f775(f63(x84412),x84415))+P1(f775(f775(f279(x84411),f775(f775(f11(x84412,x84411),x84413),x84414)),f775(f775(f11(x84412,x84411),x84413),x84415)))+~P1(f775(f775(f232(f857(x84412,a844)),x84414),x84415))
% 184.29/184.11 [8491]E(x84911,x84912)+~P12(x84913,x84914,x84915)+E(f775(f775(f104(f857(x84913,a844)),x84911),x84912),f180(f857(x84913,a844)))+~P1(f775(f775(f334(f857(x84913,a844)),x84912),f775(f775(f61(x84913),x84914),x84915)))+~P1(f775(f775(f334(f857(x84913,a844)),x84911),f775(f775(f61(x84913),x84914),x84915)))
% 184.29/184.11 [9194]~P66(x91942)+~E(f775(x91943,f478(x91943,x91944,x91945,x91941,x91942)),f2(x91942))+E(f775(f775(f8(x91941,x91942),x91943),x91944),f775(f775(f8(x91941,x91942),x91943),x91945))+~P1(f775(f63(x91941),x91945))+~P1(f775(f775(f232(f857(x91941,a844)),x91944),x91945))
% 184.29/184.11 [9195]~P66(x91952)+~E(f775(x91953,f481(x91953,x91954,x91955,x91951,x91952)),f2(x91952))+E(f775(f775(f8(x91951,x91952),x91953),x91954),f775(f775(f8(x91951,x91952),x91953),x91955))+~P1(f775(f63(x91951),x91955))+~P1(f775(f775(f232(f857(x91951,a844)),x91954),x91955))
% 184.29/184.11 [9196]~P70(x91962)+~E(f775(x91963,f479(x91963,x91964,x91965,x91961,x91962)),f80(x91962))+E(f775(f775(f11(x91961,x91962),x91963),x91964),f775(f775(f11(x91961,x91962),x91963),x91965))+~P1(f775(f63(x91961),x91965))+~P1(f775(f775(f232(f857(x91961,a844)),x91964),x91965))
% 184.29/184.11 [9197]~P70(x91972)+~E(f775(x91973,f480(x91973,x91974,x91975,x91971,x91972)),f80(x91972))+E(f775(f775(f11(x91971,x91972),x91973),x91974),f775(f775(f11(x91971,x91972),x91973),x91975))+~P1(f775(f63(x91971),x91975))+~P1(f775(f775(f232(f857(x91971,a844)),x91974),x91975))
% 184.29/184.11 [9647]~P81(x96471)+~P1(f775(f63(x96472),x96475))+~P1(f775(f775(f232(x96471),f2(x96471)),f775(x96473,f441(x96473,x96474,x96475,x96472,x96471))))+P1(f775(f775(f232(x96471),f775(f775(f8(x96472,x96471),x96473),x96474)),f775(f775(f8(x96472,x96471),x96473),x96475)))+~P1(f775(f775(f232(f857(x96472,a844)),x96474),x96475))
% 184.29/184.11 [7412]E(x74121,f2(a850))+P1(f775(x74122,x74123))+~E(x74124,f775(f775(f82(a850),f775(f775(f83(a850),x74121),x74123)),x74125))+~P1(f775(f775(f233(a850),x74125),x74121))+~P1(f775(x74122,f775(f775(f43(a850),x74124),x74121)))
% 184.29/184.11 [7495]E(x74951,f2(a850))+P1(f775(x74952,x74953))+~P1(f775(x74952,f52(a850,x74954,x74951)))+~E(x74954,f775(f775(f82(a850),f775(f775(f83(a850),x74951),x74955)),x74953))+~P1(f775(f775(f233(a850),x74953),x74951))
% 184.29/184.11 [7791]~P61(x77913)+E(f775(x77911,x77912),f2(x77913))+~P1(f775(f63(x77914),x77915))+E(f775(f775(f11(x77914,x77913),x77911),f775(f775(f3(f857(x77914,a844)),x77915),f775(f775(f302(x77914),x77912),f180(f857(x77914,a844))))),f775(f775(f11(x77914,x77913),x77911),x77915))+P1(f775(f775(f334(x77914),x77912),x77915))
% 184.29/184.11 [8185]~P66(x81851)+~P1(f775(f63(x81852),x81855))+~P1(f775(f63(x81852),x81854))+~E(f775(f775(f104(f857(x81852,a844)),x81854),x81855),f180(f857(x81852,a844)))+E(f775(f775(f82(x81851),f775(f775(f8(x81852,x81851),x81853),x81854)),f775(f775(f8(x81852,x81851),x81853),x81855)),f775(f775(f8(x81852,x81851),x81853),f775(f775(f103(f857(x81852,a844)),x81854),x81855)))
% 184.29/184.11 [8187]~P70(x81871)+~P1(f775(f63(x81872),x81875))+~P1(f775(f63(x81872),x81874))+~E(f775(f775(f104(f857(x81872,a844)),x81874),x81875),f180(f857(x81872,a844)))+E(f775(f775(f83(x81871),f775(f775(f11(x81872,x81871),x81873),x81874)),f775(f775(f11(x81872,x81871),x81873),x81875)),f775(f775(f11(x81872,x81871),x81873),f775(f775(f103(f857(x81872,a844)),x81874),x81875)))
% 184.29/184.11 [8277]~P61(x82773)+E(f775(x82771,x82772),f2(x82773))+~P1(f775(f63(x82774),x82775))+E(f775(f775(f11(x82774,x82773),x82771),f775(f775(f3(f857(x82774,a844)),x82775),f775(f775(f302(x82774),x82772),f180(f857(x82774,a844))))),f775(f775(f283(x82773),f775(f775(f11(x82774,x82773),x82771),x82775)),f775(x82771,x82772)))+~P1(f775(f775(f334(x82774),x82772),x82775))
% 184.29/184.11 [8942]~P12(x89421,x89425,x89424)+~E(f775(f775(f61(x89421),f775(f775(f302(x89421),x89422),f180(f857(x89421,a844)))),x89424),f775(f775(f61(x89421),f775(f775(f302(x89421),x89423),f180(f857(x89421,a844)))),x89424))+~P1(f775(f775(f334(x89421),x89423),x89425))+~P1(f775(f775(f334(x89421),x89422),x89425))+P1(f775(f775(f334(f856(x89421,x89421)),f775(f775(f241(x89421,x89421),x89422),x89423)),x89424))
% 184.29/184.11 [8959]~P12(x89591,x89595,x89593)+E(f775(f775(f61(x89591),f775(f775(f302(x89591),x89592),f180(f857(x89591,a844)))),x89593),f775(f775(f61(x89591),f775(f775(f302(x89591),x89594),f180(f857(x89591,a844)))),x89593))+~P1(f775(f775(f334(x89591),x89594),x89595))+~P1(f775(f775(f334(x89591),x89592),x89595))+~P1(f775(f775(f334(f856(x89591,x89591)),f775(f775(f241(x89591,x89591),x89592),x89594)),x89593))
% 184.29/184.11 [9221]~P70(x92211)+~P1(f775(f63(x92212),x92215))+~P1(f775(f63(x92212),x92214))+~E(f775(f775(f104(f857(x92212,a844)),x92214),x92215),f180(f857(x92212,a844)))+E(f775(f775(f83(x92211),f775(f775(f775(f67(x92211,x92212,f83(x92211)),x92213),f80(x92211)),x92214)),f775(f775(f775(f67(x92211,x92212,f83(x92211)),x92213),f80(x92211)),x92215)),f775(f775(f775(f67(x92211,x92212,f83(x92211)),x92213),f80(x92211)),f775(f775(f103(f857(x92212,a844)),x92214),x92215)))
% 184.29/184.11 [9231]~P66(x92311)+~E(f775(x92313,f510(x92313,x92315,x92314,x92312,x92311)),f2(x92311))+~P1(f775(f63(x92312),x92314))+~P1(f775(f63(x92312),x92315))+E(f775(f775(f82(x92311),f775(f775(f8(x92312,x92311),x92313),x92314)),f775(f775(f8(x92312,x92311),x92313),x92315)),f775(f775(f8(x92312,x92311),x92313),f775(f775(f103(f857(x92312,a844)),x92314),x92315)))
% 184.29/184.11 [9232]~P66(x92321)+~E(f775(x92323,f514(x92323,x92325,x92324,x92322,x92321)),f2(x92321))+~P1(f775(f63(x92322),x92324))+~P1(f775(f63(x92322),x92325))+E(f775(f775(f82(x92321),f775(f775(f8(x92322,x92321),x92323),x92324)),f775(f775(f8(x92322,x92321),x92323),x92325)),f775(f775(f8(x92322,x92321),x92323),f775(f775(f103(f857(x92322,a844)),x92324),x92325)))
% 184.29/184.11 [9233]~P70(x92331)+~E(f775(x92333,f511(x92333,x92335,x92334,x92332,x92331)),f80(x92331))+~P1(f775(f63(x92332),x92334))+~P1(f775(f63(x92332),x92335))+E(f775(f775(f83(x92331),f775(f775(f11(x92332,x92331),x92333),x92334)),f775(f775(f11(x92332,x92331),x92333),x92335)),f775(f775(f11(x92332,x92331),x92333),f775(f775(f103(f857(x92332,a844)),x92334),x92335)))
% 184.29/184.11 [9234]~P70(x92341)+~E(f775(x92343,f513(x92343,x92345,x92344,x92342,x92341)),f80(x92341))+~P1(f775(f63(x92342),x92344))+~P1(f775(f63(x92342),x92345))+E(f775(f775(f83(x92341),f775(f775(f11(x92342,x92341),x92343),x92344)),f775(f775(f11(x92342,x92341),x92343),x92345)),f775(f775(f11(x92342,x92341),x92343),f775(f775(f103(f857(x92342,a844)),x92344),x92345)))
% 184.29/184.11 [9438]~P70(x94381)+~E(f775(x94383,f531(x94383,x94385,x94384,x94382,x94381)),f80(x94381))+~P1(f775(f63(x94382),x94384))+~P1(f775(f63(x94382),x94385))+E(f775(f775(f83(x94381),f775(f775(f775(f67(x94381,x94382,f83(x94381)),x94383),f80(x94381)),x94384)),f775(f775(f775(f67(x94381,x94382,f83(x94381)),x94383),f80(x94381)),x94385)),f775(f775(f775(f67(x94381,x94382,f83(x94381)),x94383),f80(x94381)),f775(f775(f103(f857(x94382,a844)),x94384),x94385)))
% 184.29/184.11 [9539]~P66(x95392)+E(f775(f775(f8(x95391,x95392),x95393),x95394),f775(f775(f8(x95391,x95392),x95393),x95395))+~P1(f775(f63(x95391),x95395))+~P1(f775(f775(f232(f857(x95391,a844)),x95394),x95395))+P1(f775(f775(f334(x95391),f478(x95393,x95394,x95395,x95391,x95392)),f775(f775(f3(f857(x95391,a844)),x95395),x95394)))
% 184.29/184.11 [9540]~P66(x95402)+E(f775(f775(f8(x95401,x95402),x95403),x95404),f775(f775(f8(x95401,x95402),x95403),x95405))+~P1(f775(f63(x95401),x95405))+~P1(f775(f775(f232(f857(x95401,a844)),x95404),x95405))+P1(f775(f775(f334(x95401),f481(x95403,x95404,x95405,x95401,x95402)),f775(f775(f3(f857(x95401,a844)),x95405),x95404)))
% 184.29/184.11 [9541]~P70(x95412)+E(f775(f775(f11(x95411,x95412),x95413),x95414),f775(f775(f11(x95411,x95412),x95413),x95415))+~P1(f775(f63(x95411),x95415))+~P1(f775(f775(f232(f857(x95411,a844)),x95414),x95415))+P1(f775(f775(f334(x95411),f479(x95413,x95414,x95415,x95411,x95412)),f775(f775(f3(f857(x95411,a844)),x95415),x95414)))
% 184.29/184.11 [9542]~P70(x95422)+E(f775(f775(f11(x95421,x95422),x95423),x95424),f775(f775(f11(x95421,x95422),x95423),x95425))+~P1(f775(f63(x95421),x95425))+~P1(f775(f775(f232(f857(x95421,a844)),x95424),x95425))+P1(f775(f775(f334(x95421),f480(x95423,x95424,x95425,x95421,x95422)),f775(f775(f3(f857(x95421,a844)),x95425),x95424)))
% 184.29/184.11 [9556]~P66(x95561)+~P1(f775(f63(x95562),x95564))+~P1(f775(f63(x95562),x95565))+E(f775(f775(f82(x95561),f775(f775(f8(x95562,x95561),x95563),x95564)),f775(f775(f8(x95562,x95561),x95563),x95565)),f775(f775(f8(x95562,x95561),x95563),f775(f775(f103(f857(x95562,a844)),x95564),x95565)))+P1(f775(f775(f334(x95562),f510(x95563,x95565,x95564,x95562,x95561)),f775(f775(f104(f857(x95562,a844)),x95564),x95565)))
% 184.29/184.11 [9557]~P66(x95571)+~P1(f775(f63(x95572),x95574))+~P1(f775(f63(x95572),x95575))+E(f775(f775(f82(x95571),f775(f775(f8(x95572,x95571),x95573),x95574)),f775(f775(f8(x95572,x95571),x95573),x95575)),f775(f775(f8(x95572,x95571),x95573),f775(f775(f103(f857(x95572,a844)),x95574),x95575)))+P1(f775(f775(f334(x95572),f514(x95573,x95575,x95574,x95572,x95571)),f775(f775(f104(f857(x95572,a844)),x95574),x95575)))
% 184.29/184.11 [9558]~P70(x95581)+~P1(f775(f63(x95582),x95584))+~P1(f775(f63(x95582),x95585))+E(f775(f775(f83(x95581),f775(f775(f11(x95582,x95581),x95583),x95584)),f775(f775(f11(x95582,x95581),x95583),x95585)),f775(f775(f11(x95582,x95581),x95583),f775(f775(f103(f857(x95582,a844)),x95584),x95585)))+P1(f775(f775(f334(x95582),f511(x95583,x95585,x95584,x95582,x95581)),f775(f775(f104(f857(x95582,a844)),x95584),x95585)))
% 184.29/184.11 [9559]~P70(x95591)+~P1(f775(f63(x95592),x95594))+~P1(f775(f63(x95592),x95595))+E(f775(f775(f83(x95591),f775(f775(f11(x95592,x95591),x95593),x95594)),f775(f775(f11(x95592,x95591),x95593),x95595)),f775(f775(f11(x95592,x95591),x95593),f775(f775(f103(f857(x95592,a844)),x95594),x95595)))+P1(f775(f775(f334(x95592),f513(x95593,x95595,x95594,x95592,x95591)),f775(f775(f104(f857(x95592,a844)),x95594),x95595)))
% 184.29/184.11 [9571]~P81(x95715)+~P1(f775(f63(x95711),x95714))+P1(f775(f775(f232(x95715),f775(f775(f8(x95711,x95715),x95712),x95713)),f775(f775(f8(x95711,x95715),x95712),x95714)))+~P1(f775(f775(f232(f857(x95711,a844)),x95713),x95714))+P1(f775(f775(f334(x95711),f441(x95712,x95713,x95714,x95711,x95715)),f775(f775(f3(f857(x95711,a844)),x95714),x95713)))
% 184.29/184.11 [9613]~P70(x96131)+~P1(f775(f63(x96132),x96134))+~P1(f775(f63(x96132),x96135))+E(f775(f775(f83(x96131),f775(f775(f775(f67(x96131,x96132,f83(x96131)),x96133),f80(x96131)),x96134)),f775(f775(f775(f67(x96131,x96132,f83(x96131)),x96133),f80(x96131)),x96135)),f775(f775(f775(f67(x96131,x96132,f83(x96131)),x96133),f80(x96131)),f775(f775(f103(f857(x96132,a844)),x96134),x96135)))+P1(f775(f775(f334(x96132),f531(x96133,x96135,x96134,x96132,x96131)),f775(f775(f104(f857(x96132,a844)),x96134),x96135)))
% 184.29/184.11 [8668]~P22(x86681,x86684,x86685)+~P1(f775(f63(x86681),x86682))+E(f775(f775(f3(f857(x86681,a844)),x86682),f775(f775(f302(x86681),x86683),f180(f857(x86681,a844)))),f180(f857(x86681,a844)))+~P1(f775(f775(f334(x86681),x86683),x86682))+E(f775(f775(x86684,x86683),f775(x86685,f775(f775(f3(f857(x86681,a844)),x86682),f775(f775(f302(x86681),x86683),f180(f857(x86681,a844)))))),f775(x86685,x86682))
% 184.29/184.11 [8735]~P22(x87351,x87354,x87355)+~P1(f775(f63(x87351),x87353))+~P1(f775(f63(x87351),x87352))+E(f775(f775(f104(f857(x87351,a844)),x87352),x87353),f180(f857(x87351,a844)))+E(f775(f775(x87354,f775(x87355,f775(f775(f103(f857(x87351,a844)),x87352),x87353))),f775(x87355,f775(f775(f104(f857(x87351,a844)),x87352),x87353))),f775(f775(x87354,f775(x87355,x87352)),f775(x87355,x87353)))
% 184.29/184.11 [9236]~P1(f775(f775(f232(a1),x92364),f2(a1)))+~P1(f775(f775(f233(a1),x92363),x92365))+P1(f775(f775(f232(a1),x92361),x92362))+~P1(f775(f775(f233(a1),x92363),x92364))+~P1(f775(f775(f232(a1),f775(f775(f82(a1),f775(f775(f83(a1),x92363),x92362)),x92365)),f775(f775(f82(a1),f775(f775(f83(a1),x92363),x92361)),x92364)))
% 184.29/184.11 [9238]~P1(f775(f775(f232(a1),f2(a1)),x92385))+P1(f775(f775(f232(a1),x92381),x92382))+~P1(f775(f775(f233(a1),x92383),x92384))+~P1(f775(f775(f233(a1),x92385),x92384))+~P1(f775(f775(f232(a1),f775(f775(f82(a1),f775(f775(f83(a1),x92384),x92381)),x92385)),f775(f775(f82(a1),f775(f775(f83(a1),x92384),x92382)),x92383)))
% 184.29/184.11 [9351]~P61(x93515)+E(f775(x93511,f512(x93511,x93512,x93513,x93514,x93515)),f2(x93515))+~P1(f775(f63(x93514),x93513))+~P1(f775(f63(x93514),x93512))+E(f775(f775(f283(x93515),f775(f775(f83(x93515),f775(f775(f11(x93514,x93515),x93511),x93513)),f775(f775(f11(x93514,x93515),x93511),x93512))),f775(f775(f11(x93514,x93515),x93511),f775(f775(f104(f857(x93514,a844)),x93513),x93512))),f775(f775(f11(x93514,x93515),x93511),f775(f775(f103(f857(x93514,a844)),x93513),x93512)))
% 184.29/184.11 [9606]~P61(x96061)+~P1(f775(f63(x96062),x96064))+~P1(f775(f63(x96062),x96065))+E(f775(f775(f283(x96061),f775(f775(f83(x96061),f775(f775(f11(x96062,x96061),x96063),x96064)),f775(f775(f11(x96062,x96061),x96063),x96065))),f775(f775(f11(x96062,x96061),x96063),f775(f775(f104(f857(x96062,a844)),x96064),x96065))),f775(f775(f11(x96062,x96061),x96063),f775(f775(f103(f857(x96062,a844)),x96064),x96065)))+P1(f775(f775(f334(x96062),f512(x96063,x96065,x96064,x96062,x96061)),f775(f775(f104(f857(x96062,a844)),x96064),x96065)))
% 184.29/184.11 [8979]E(f775(f775(f125(x89791),x89792),x89793),f775(f775(f125(x89791),x89794),x89795))+~E(f775(f775(f159(x89791),f775(f181(f851(x89791)),x89794)),x89792),x89794)+~E(f775(f775(f159(x89791),f775(f181(f851(x89791)),x89792)),x89794),x89792)+~E(x89795,f775(f775(f125(x89791),f775(f775(f128(x89791),f775(f181(f851(x89791)),x89794)),x89792)),x89793))+~E(f775(f775(f125(x89791),f775(f775(f128(x89791),f775(f181(f851(x89791)),x89792)),x89794)),x89795),x89793)
% 184.29/184.11 [9349]~P100(x93492)+E(f775(f775(f138(x93491,x93492,x93493),x93494),f151(x93491,x93494,x93495)),x93495)+~P18(x93492,f775(f775(f143(x93491,x93492),x93493),x93495))+~P1(f775(f775(f334(x93491),x93494),f775(f158(x93491),x93495)))+~E(f775(f131(x93491),f775(f126(x93491,f775(f775(f10(x93492,a844,x93491),f775(a330,f775(x93493,x93494))),x93493)),x93495)),x93494)
% 184.29/184.11 [9661]~P64(x96611)+~P1(f775(f68(x96611,x96611,f83(x96611),x96612,x96613),x96615))+~P1(f775(f775(f334(x96611),x96614),x96613))+P1(f775(f775(f334(x96611),x96612),x96613))+P1(f775(f68(x96611,x96611,f83(x96611),x96614,f775(f775(f302(x96611),x96612),f775(f775(f3(f857(x96611,a844)),x96613),f775(f775(f302(x96611),x96614),f180(f857(x96611,a844)))))),x96615))
% 184.29/184.11 [7159]E(x71591,x71592)+~P29(x71594,x71595,x71593,x71596)+~E(f775(x71593,x71591),f775(x71593,x71592))+~P1(f775(f775(f334(x71594),x71592),x71596))+~P1(f775(f775(f334(x71594),x71591),x71596))
% 184.29/184.11 [6394]~P137(x63944)+E(x63941,x63942)+~E(x63945,x63946)+E(x63943,f2(x63944))+~E(f775(f775(f82(x63944),x63945),f775(f775(f83(x63944),x63943),x63941)),f775(f775(f82(x63944),x63946),f775(f775(f83(x63944),x63943),x63942)))
% 184.29/184.11 [7475]~P100(x74751)+~P9(x74751)+~P1(f775(f775(f233(x74751),x74752),f775(x74755,x74756)))+~P1(f775(f775(f334(x74753),x74756),x74754))+P1(f775(f775(f233(x74751),x74752),f775(f775(f46(x74753,x74751),x74754),x74755)))
% 184.29/184.11 [9824]~P85(x98246)+~P1(f775(f63(x98241),x98245))+P1(f775(f775(f334(x98241),f631(x98242,x98243,x98244,x98245,x98241,x98246)),x98244))+P1(f775(f775(f279(x98246),f775(f775(f11(x98241,x98246),x98243),x98244)),f775(f775(f11(x98241,x98246),x98242),x98245)))+~P1(f775(f775(f232(f857(x98241,a844)),x98244),x98245))
% 184.29/184.11 [9947]~P85(x99471)+~P1(f775(f63(x99472),x99476))+~P1(f775(f775(f279(x99471),f775(x99473,f631(x99475,x99473,x99474,x99476,x99472,x99471))),f775(x99475,f631(x99475,x99473,x99474,x99476,x99472,x99471))))+P1(f775(f775(f279(x99471),f775(f775(f11(x99472,x99471),x99473),x99474)),f775(f775(f11(x99472,x99471),x99475),x99476)))+~P1(f775(f775(f232(f857(x99472,a844)),x99474),x99476))
% 184.29/184.11 [8156]~P100(x81561)+~P9(x81561)+~P1(f775(f775(f233(x81561),f775(x81564,x81566)),x81565))+~P1(f775(f775(f334(x81562),x81566),x81563))+P1(f775(f775(f233(x81561),f775(f775(f47(x81562,x81561),x81563),x81564)),x81565))
% 184.29/184.11 [8413]~P23(x84132,x84135,x84136,x84131)+~P1(f775(f63(x84132),x84134))+~P1(f775(f63(x84132),x84133))+~E(f775(f775(f104(f857(x84132,a844)),x84133),x84134),f180(f857(x84132,a844)))+E(f775(x84131,f775(f775(f103(f857(x84132,a844)),x84133),x84134)),f775(f75(x84135,x84135,x84135,f775(x84131,x84133)),f775(x84131,x84134)))
% 184.29/184.11 [9066]~P112(x90661)+~P108(x90661)+~P1(f775(f775(f279(x90661),x90662),x90665))+~P1(f775(f775(f279(x90661),x90662),f775(f775(f82(x90661),x90663),x90666)))+P1(f775(f775(f279(x90661),x90662),f775(f775(f82(x90661),f775(f775(f3(x90661),x90663),f775(f775(f83(x90661),x90664),x90665))),x90666)))
% 184.29/184.11 [9226]~P112(x92261)+~P108(x92261)+~P1(f775(f775(f279(x92261),x92262),x92265))+P1(f775(f775(f279(x92261),x92262),f775(f775(f82(x92261),x92263),x92264)))+~P1(f775(f775(f279(x92261),x92262),f775(f775(f82(x92261),f775(f775(f3(x92261),x92263),f775(f775(f83(x92261),x92266),x92265))),x92264)))
% 184.29/184.11 [8706]E(x87061,x87062)+~P55(x87064,x87065,x87066,x87063,x87067)+~E(f775(x87063,x87061),f775(x87063,x87062))+~P1(f775(f775(f334(x87065),x87062),x87067))+~P1(f775(f775(f334(x87065),x87061),x87067))
% 184.29/184.11 [9955]~P12(x99551,x99557,x99556)+~P16(x99551,f857(x99555,a844),x99556,x99554)+P1(f775(f775(f334(x99551),f509(x99552,x99553,x99554,x99555,x99556,x99557,x99551)),x99557))+~P1(f775(f775(f334(f857(x99551,a844)),x99553),f775(f775(f61(x99551),x99557),x99556)))+P1(f775(f775(f334(f857(x99555,a844)),f775(f775(f46(x99551,f857(x99555,a844)),x99553),x99554)),x99552))
% 184.29/184.11 [10002]~P12(x100022,x100026,x100027)+~P16(x100022,f857(x100021,a844),x100027,x100024)+~P1(f775(f775(f334(f857(x100022,a844)),x100023),f775(f775(f61(x100022),x100026),x100027)))+~P1(f775(f775(f334(f857(x100021,a844)),f775(x100024,f509(x100025,x100023,x100024,x100021,x100027,x100026,x100022))),x100025))+P1(f775(f775(f334(f857(x100021,a844)),f775(f775(f46(x100022,f857(x100021,a844)),x100023),x100024)),x100025))
% 184.29/184.11 [8323]~P70(x83232)+~P29(x83231,x83235,x83238,x83234)+~E(x83233,f775(f75(x83235,x83232,x83231,x83236),x83238))+~E(x83237,f775(f303(x83231,x83235,x83238),x83234))+E(f775(f775(f11(x83231,x83232),x83233),x83234),f775(f775(f11(x83235,x83232),x83236),x83237))
% 184.29/184.11 [10005]~P70(x100052)+~P29(x100055,x100051,x100058,x100057)+~E(f775(x100056,f535(x100053,x100056,x100054,x100057,x100058,x100051,x100055,x100052)),f775(f775(f75(x100051,x100052,x100055,x100053),x100058),f535(x100053,x100056,x100054,x100057,x100058,x100051,x100055,x100052)))+~E(x100054,f775(f303(x100055,x100051,x100058),x100057))+E(f775(f775(f11(x100051,x100052),x100053),x100054),f775(f775(f11(x100055,x100052),x100056),x100057))
% 184.29/184.11 [10008]~P66(x100082)+~P29(x100081,x100085,x100088,x100084)+~E(x100087,f775(f303(x100081,x100085,x100088),x100084))+E(f775(f775(f8(x100081,x100082),x100083),x100084),f775(f775(f8(x100085,x100082),x100086),x100087))+P1(f775(f775(f334(x100081),f636(x100086,x100083,x100087,x100084,x100088,x100085,x100081,x100082)),x100084))
% 184.29/184.11 [10009]~P70(x100092)+~P29(x100091,x100095,x100098,x100094)+~E(x100097,f775(f303(x100091,x100095,x100098),x100094))+E(f775(f775(f11(x100091,x100092),x100093),x100094),f775(f775(f11(x100095,x100092),x100096),x100097))+P1(f775(f775(f334(x100091),f535(x100096,x100093,x100097,x100094,x100098,x100095,x100091,x100092)),x100094))
% 184.29/184.11 [10013]~P66(x100132)+~P29(x100135,x100131,x100138,x100137)+~E(x100134,f775(f303(x100135,x100131,x100138),x100137))+~E(f775(x100136,f636(x100133,x100136,x100134,x100137,x100138,x100131,x100135,x100132)),f775(x100133,f775(x100138,f636(x100133,x100136,x100134,x100137,x100138,x100131,x100135,x100132))))+E(f775(f775(f8(x100131,x100132),x100133),x100134),f775(f775(f8(x100135,x100132),x100136),x100137))
% 184.29/184.11 [9414]~E(f775(f181(f851(x94142)),x94145),f775(f181(f851(x94141)),x94143))+~E(f775(f181(f851(x94142)),x94144),f775(f181(f851(x94141)),x94143))+~E(f775(f775(f775(f74(x94141,f854(x94142)),f166(x94141,x94142,f775(f775(f167(x94141,x94142),x94143),x94144))),x94146),f775(f227(x94142),x94147)),f775(f775(f775(f74(x94141,f854(x94142)),f166(x94141,x94142,f775(f775(f167(x94141,x94142),x94143),x94145))),x94146),f775(f227(x94142),x94148)))+E(f166(x94141,x94142,f775(f775(f167(x94141,x94142),x94143),x94144)),f166(x94141,x94142,f775(f775(f167(x94141,x94142),x94143),x94145)))+P1(f775(f775(f334(x94141),x94146),f775(f158(x94141),x94143)))
% 184.29/184.11 [9509]~P27(x95096,x95092,x95095,x95097,x95098,x95091)+~P1(f775(f63(x95092),x95094))+~P1(f775(f63(x95092),x95093))+~E(f775(f775(f104(f857(x95092,a844)),x95093),x95094),f180(f857(x95092,a844)))+E(f775(x95091,f775(f775(f103(f857(x95092,a844)),x95093),x95094)),f775(f775(x95095,f775(x95091,x95093)),f775(x95091,x95094)))
% 184.29/184.11 [9899]~P27(x98998,x98992,x98995,x98997,x98996,x98991)+~E(f775(x98996,f578(x98994,x98993,x98991,x98996,x98997,x98995,x98992)),x98997)+~P1(f775(f63(x98992),x98993))+~P1(f775(f63(x98992),x98994))+E(f775(x98991,f775(f775(f103(f857(x98992,a844)),x98993),x98994)),f775(f775(x98995,f775(x98991,x98993)),f775(x98991,x98994)))
% 184.29/184.11 [9960]~P27(x99608,x99602,x99605,x99607,x99606,x99601)+~P1(f775(f63(x99602),x99603))+~P1(f775(f63(x99602),x99604))+E(f775(x99601,f775(f775(f103(f857(x99602,a844)),x99603),x99604)),f775(f775(x99605,f775(x99601,x99603)),f775(x99601,x99604)))+P1(f775(f775(f334(x99602),f578(x99604,x99603,x99601,x99606,x99607,x99605,x99602)),f775(f775(f104(f857(x99602,a844)),x99603),x99604)))
% 184.29/184.11 [9652]~P12(x96524,x96528,x96525)+~P12(x96521,x96529,x96523)+~P17(x96521,x96524,f857(x96522,a844),x96523,x96525,x96527)+P16(x96521,f857(x96522,a844),x96523,f775(f775(f10(f857(x96524,f857(x96522,a844)),f857(x96522,a844),x96521),f775(f46(x96524,f857(x96522,a844)),f775(f277(x96524,x96524,x96525),f775(f775(f302(x96524),x96526),f180(f857(x96524,a844)))))),x96527))+~P1(f775(f775(f334(x96524),x96526),x96528))
% 184.29/184.11 [4933]~P122(x49332)+~P127(x49332)+~P138(x49332)+~P105(x49332)+E(x49331,f2(x49332))+~E(f775(f775(f242(x49332),x49331),x49333),f2(x49332))
% 184.29/184.11 [4934]~P122(x49342)+~P127(x49342)+~P138(x49342)+~P105(x49342)+~E(x49341,f2(a850))+~E(f775(f775(f242(x49342),x49343),x49341),f2(x49342))
% 184.29/184.11 [6374]~P81(x63741)+~E(x63743,f2(x63741))+~E(x63742,f2(x63741))+E(f775(f775(f82(x63741),x63742),x63743),f2(x63741))+~P1(f775(f775(f232(x63741),f2(x63741)),x63743))+~P1(f775(f775(f232(x63741),f2(x63741)),x63742))
% 184.29/184.11 [8764]~E(f775(f240(a850,a850),x87643),f2(a850))+~E(x87641,f775(f775(f82(a850),f775(f775(f83(a850),f775(f240(a850,a850),x87643)),x87642)),f775(f250(a850,a850),x87643)))+P1(f775(f55(x87641,x87642),x87643))+~P1(f775(f775(f232(a850),f775(f250(a850,a850),x87643)),f2(a850)))+P1(f775(f775(f233(a850),f2(a850)),x87642))+~P1(f775(f775(f233(a850),x87642),f775(f250(a850,a850),x87643)))
% 184.29/184.11 [8771]E(x87711,f2(a850))+~E(x87712,f775(f775(f82(a850),f775(f775(f83(a850),f775(f240(a850,a850),x87713)),x87711)),f775(f250(a850,a850),x87713)))+P1(f775(f55(x87712,x87711),x87713))+~P1(f775(f775(f233(a850),f2(a850)),x87711))+~P1(f775(f775(f232(a850),f2(a850)),f775(f250(a850,a850),x87713)))+~P1(f775(f775(f233(a850),f775(f250(a850,a850),x87713)),x87711))
% 184.29/184.11 [8785]~E(f775(f240(a850,a850),x87853),f2(a850))+~E(x87851,f775(f775(f82(a850),f775(f775(f83(a850),f775(f240(a850,a850),x87853)),x87852)),f775(f250(a850,a850),x87853)))+P1(f775(f55(x87851,x87852),x87853))+~P1(f775(f775(f233(a850),f2(a850)),x87852))+~P1(f775(f775(f232(a850),f2(a850)),f775(f250(a850,a850),x87853)))+~P1(f775(f775(f233(a850),f775(f250(a850,a850),x87853)),x87852))
% 184.29/184.11 [6778]~P93(x67782)+E(x67781,f180(f857(x67782,a844)))+E(x67783,f180(f857(x67782,a844)))+~P1(f775(f63(x67782),x67781))+~P1(f775(f63(x67782),x67783))+E(f15(x67782,f775(f775(f103(f857(x67782,a844)),x67783),x67781)),f775(f775(f103(x67782),f15(x67782,x67783)),f15(x67782,x67781)))
% 184.29/184.11 [6779]~P100(x67792)+E(x67791,f180(f857(x67792,a844)))+E(x67793,f180(f857(x67792,a844)))+~P1(f775(f63(x67792),x67791))+~P1(f775(f63(x67792),x67793))+E(f16(x67792,f775(f775(f103(f857(x67792,a844)),x67793),x67791)),f775(f775(f179(x67792),f16(x67792,x67793)),f16(x67792,x67791)))
% 184.29/184.11 [6780]~P100(x67802)+E(x67801,f180(f857(x67802,a844)))+E(x67803,f180(f857(x67802,a844)))+~P1(f775(f63(x67802),x67801))+~P1(f775(f63(x67802),x67803))+E(f17(x67802,f775(f775(f103(f857(x67802,a844)),x67803),x67801)),f775(f775(f236(x67802),f17(x67802,x67803)),f17(x67802,x67801)))
% 184.29/184.11 [6781]~P93(x67812)+E(x67811,f180(f857(x67812,a844)))+E(x67813,f180(f857(x67812,a844)))+~P1(f775(f63(x67812),x67811))+~P1(f775(f63(x67812),x67813))+E(f12(x67812,f775(f775(f103(f857(x67812,a844)),x67813),x67811)),f775(f775(f104(x67812),f12(x67812,x67813)),f12(x67812,x67811)))
% 184.29/184.11 [7447]~P91(x74472)+E(x74471,f180(f857(x74472,a844)))+E(x74473,f180(f857(x74472,a844)))+~P1(f775(f63(x74472),x74471))+~P1(f775(f63(x74472),x74473))+E(f775(f775(f83(x74472),f775(f65(x74472,f83(x74472)),x74473)),f775(f65(x74472,f83(x74472)),x74471)),f775(f65(x74472,f83(x74472)),f775(f775(f103(f857(x74472,a844)),x74473),x74471)))
% 184.29/184.11 [7612]~P100(x76122)+E(x76121,f180(f857(x76122,a844)))+E(x76123,f180(f857(x76122,a844)))+~P1(f775(f63(x76122),x76121))+~P1(f775(f63(x76122),x76123))+E(f775(f775(f179(x76122),f13(x76122,f179(x76122),x76123)),f13(x76122,f179(x76122),x76121)),f13(x76122,f179(x76122),f775(f775(f103(f857(x76122,a844)),x76123),x76121)))
% 184.29/184.11 [7613]~P100(x76132)+E(x76131,f180(f857(x76132,a844)))+E(x76133,f180(f857(x76132,a844)))+~P1(f775(f63(x76132),x76131))+~P1(f775(f63(x76132),x76133))+E(f775(f775(f236(x76132),f14(x76132,f236(x76132),x76133)),f14(x76132,f236(x76132),x76131)),f14(x76132,f236(x76132),f775(f775(f103(f857(x76132,a844)),x76133),x76131)))
% 184.29/184.11 [8621]~P1(f775(x86211,x86213))+P1(f775(x86211,f353(x86211,x86212)))+P1(f775(x86211,f350(x86211,x86212)))+~P1(f775(f775(f233(a1),f2(a1)),x86212))+~P1(f775(f775(f334(a1),x86213),f295(a1,f80(a1),x86212)))+P1(f775(x86211,f775(f775(f3(a1),f350(x86211,x86212)),f775(f775(f83(a1),f352(x86211,x86212)),x86212))))
% 184.29/184.11 [8883]~P1(f775(x88831,x88833))+~P1(f775(x88831,f350(x88831,x88832)))+P1(f775(x88831,f353(x88831,x88832)))+~P1(f775(f775(f233(a1),f2(a1)),x88832))+~P1(f775(f775(f334(a1),x88833),f295(a1,f80(a1),x88832)))+~P1(f775(x88831,f775(f775(f3(a1),f350(x88831,x88832)),f775(f775(f83(a1),f352(x88831,x88832)),x88832))))
% 184.29/184.11 [10032]~P97(x100322)+E(x100321,f180(f857(x100322,a844)))+E(x100323,f180(f857(x100322,a844)))+~P1(f775(f63(x100322),x100321))+~P1(f775(f63(x100322),x100323))+E(f12(x100322,f775(f256(x100322),f775(f775(f10(f857(x100322,a844),a844,x100322),f89(x100322)),f775(f775(f10(f857(x100322,f857(x100322,a844)),f857(x100322,a844),x100322),f775(f10(f857(x100322,a844),a844,x100322),f89(x100322))),f775(f775(f9(x100322,f857(x100322,f857(x100322,a844)),f857(x100322,f857(x100322,a844))),f775(f775(f10(f857(x100322,f857(f857(x100322,a844),f857(x100322,a844))),f857(f857(x100322,f857(x100322,a844)),f857(x100322,f857(x100322,a844))),x100322),f20(x100322,f857(x100322,a844),f857(x100322,a844))),f775(f775(f10(f857(x100322,f857(x100322,f857(a844,a844))),f857(x100322,f857(f857(x100322,a844),f857(x100322,a844))),x100322),f775(f10(f857(x100322,f857(a844,a844)),f857(f857(x100322,a844),f857(x100322,a844)),x100322),f20(x100322,a844,a844))),f775(f775(f10(f857(x100322,f857(x100322,a844)),f857(x100322,f857(x100322,f857(a844,a844))),x100322),f775(f10(f857(x100322,a844),f857(x100322,f857(a844,a844)),x100322),f775(f10(a844,f857(a844,a844),x100322),a331))),f775(f775(f9(x100322,f857(x100322,f857(x100322,x100322)),f857(x100322,f857(x100322,a844))),f775(f775(f10(f857(f857(x100322,x100322),f857(x100322,a844)),f857(f857(x100322,f857(x100322,x100322)),f857(x100322,f857(x100322,a844))),x100322),f10(f857(x100322,x100322),f857(x100322,a844),x100322)),f775(f775(f10(f857(x100322,a844),f857(f857(x100322,x100322),f857(x100322,a844)),x100322),f10(x100322,a844,x100322)),a330))),f103(x100322)))))),f775(f775(f9(x100322,f857(x100322,a844),f857(x100322,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x100322,a844),f857(x100322,a844)),x100322),f10(a844,a844,x100322)),f775(f775(f10(a844,f857(a844,a844),x100322),a331),f775(f775(f9(x100322,f857(x100322,a844),a844),f334(x100322)),x100323)))),f775(f775(f9(x100322,f857(x100322,a844),a844),f334(x100322)),x100321))))))),f775(f775(f103(x100322),f12(x100322,x100323)),f12(x100322,x100321)))
% 184.29/184.11 [10033]~P97(x100332)+E(x100331,f180(f857(x100332,a844)))+E(x100333,f180(f857(x100332,a844)))+~P1(f775(f63(x100332),x100331))+~P1(f775(f63(x100332),x100333))+E(f15(x100332,f775(f256(x100332),f775(f775(f10(f857(x100332,a844),a844,x100332),f89(x100332)),f775(f775(f10(f857(x100332,f857(x100332,a844)),f857(x100332,a844),x100332),f775(f10(f857(x100332,a844),a844,x100332),f89(x100332))),f775(f775(f9(x100332,f857(x100332,f857(x100332,a844)),f857(x100332,f857(x100332,a844))),f775(f775(f10(f857(x100332,f857(f857(x100332,a844),f857(x100332,a844))),f857(f857(x100332,f857(x100332,a844)),f857(x100332,f857(x100332,a844))),x100332),f20(x100332,f857(x100332,a844),f857(x100332,a844))),f775(f775(f10(f857(x100332,f857(x100332,f857(a844,a844))),f857(x100332,f857(f857(x100332,a844),f857(x100332,a844))),x100332),f775(f10(f857(x100332,f857(a844,a844)),f857(f857(x100332,a844),f857(x100332,a844)),x100332),f20(x100332,a844,a844))),f775(f775(f10(f857(x100332,f857(x100332,a844)),f857(x100332,f857(x100332,f857(a844,a844))),x100332),f775(f10(f857(x100332,a844),f857(x100332,f857(a844,a844)),x100332),f775(f10(a844,f857(a844,a844),x100332),a331))),f775(f775(f9(x100332,f857(x100332,f857(x100332,x100332)),f857(x100332,f857(x100332,a844))),f775(f775(f10(f857(f857(x100332,x100332),f857(x100332,a844)),f857(f857(x100332,f857(x100332,x100332)),f857(x100332,f857(x100332,a844))),x100332),f10(f857(x100332,x100332),f857(x100332,a844),x100332)),f775(f775(f10(f857(x100332,a844),f857(f857(x100332,x100332),f857(x100332,a844)),x100332),f10(x100332,a844,x100332)),a330))),f104(x100332)))))),f775(f775(f9(x100332,f857(x100332,a844),f857(x100332,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x100332,a844),f857(x100332,a844)),x100332),f10(a844,a844,x100332)),f775(f775(f10(a844,f857(a844,a844),x100332),a331),f775(f775(f9(x100332,f857(x100332,a844),a844),f334(x100332)),x100333)))),f775(f775(f9(x100332,f857(x100332,a844),a844),f334(x100332)),x100331))))))),f775(f775(f104(x100332),f15(x100332,x100333)),f15(x100332,x100331)))
% 184.29/184.11 [10034]~P100(x100342)+E(x100341,f180(f857(x100342,a844)))+E(x100343,f180(f857(x100342,a844)))+~P1(f775(f63(x100342),x100341))+~P1(f775(f63(x100342),x100343))+E(f13(x100342,f179(x100342),f775(f256(x100342),f775(f775(f10(f857(x100342,a844),a844,x100342),f89(x100342)),f775(f775(f10(f857(x100342,f857(x100342,a844)),f857(x100342,a844),x100342),f775(f10(f857(x100342,a844),a844,x100342),f89(x100342))),f775(f775(f9(x100342,f857(x100342,f857(x100342,a844)),f857(x100342,f857(x100342,a844))),f775(f775(f10(f857(x100342,f857(f857(x100342,a844),f857(x100342,a844))),f857(f857(x100342,f857(x100342,a844)),f857(x100342,f857(x100342,a844))),x100342),f20(x100342,f857(x100342,a844),f857(x100342,a844))),f775(f775(f10(f857(x100342,f857(x100342,f857(a844,a844))),f857(x100342,f857(f857(x100342,a844),f857(x100342,a844))),x100342),f775(f10(f857(x100342,f857(a844,a844)),f857(f857(x100342,a844),f857(x100342,a844)),x100342),f20(x100342,a844,a844))),f775(f775(f10(f857(x100342,f857(x100342,a844)),f857(x100342,f857(x100342,f857(a844,a844))),x100342),f775(f10(f857(x100342,a844),f857(x100342,f857(a844,a844)),x100342),f775(f10(a844,f857(a844,a844),x100342),a331))),f775(f775(f9(x100342,f857(x100342,f857(x100342,x100342)),f857(x100342,f857(x100342,a844))),f775(f775(f10(f857(f857(x100342,x100342),f857(x100342,a844)),f857(f857(x100342,f857(x100342,x100342)),f857(x100342,f857(x100342,a844))),x100342),f10(f857(x100342,x100342),f857(x100342,a844),x100342)),f775(f775(f10(f857(x100342,a844),f857(f857(x100342,x100342),f857(x100342,a844)),x100342),f10(x100342,a844,x100342)),a330))),f236(x100342)))))),f775(f775(f9(x100342,f857(x100342,a844),f857(x100342,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x100342,a844),f857(x100342,a844)),x100342),f10(a844,a844,x100342)),f775(f775(f10(a844,f857(a844,a844),x100342),a331),f775(f775(f9(x100342,f857(x100342,a844),a844),f334(x100342)),x100343)))),f775(f775(f9(x100342,f857(x100342,a844),a844),f334(x100342)),x100341))))))),f775(f775(f236(x100342),f13(x100342,f179(x100342),x100343)),f13(x100342,f179(x100342),x100341)))
% 184.29/184.11 [10035]~P100(x100352)+E(x100351,f180(f857(x100352,a844)))+E(x100353,f180(f857(x100352,a844)))+~P1(f775(f63(x100352),x100351))+~P1(f775(f63(x100352),x100353))+E(f14(x100352,f236(x100352),f775(f256(x100352),f775(f775(f10(f857(x100352,a844),a844,x100352),f89(x100352)),f775(f775(f10(f857(x100352,f857(x100352,a844)),f857(x100352,a844),x100352),f775(f10(f857(x100352,a844),a844,x100352),f89(x100352))),f775(f775(f9(x100352,f857(x100352,f857(x100352,a844)),f857(x100352,f857(x100352,a844))),f775(f775(f10(f857(x100352,f857(f857(x100352,a844),f857(x100352,a844))),f857(f857(x100352,f857(x100352,a844)),f857(x100352,f857(x100352,a844))),x100352),f20(x100352,f857(x100352,a844),f857(x100352,a844))),f775(f775(f10(f857(x100352,f857(x100352,f857(a844,a844))),f857(x100352,f857(f857(x100352,a844),f857(x100352,a844))),x100352),f775(f10(f857(x100352,f857(a844,a844)),f857(f857(x100352,a844),f857(x100352,a844)),x100352),f20(x100352,a844,a844))),f775(f775(f10(f857(x100352,f857(x100352,a844)),f857(x100352,f857(x100352,f857(a844,a844))),x100352),f775(f10(f857(x100352,a844),f857(x100352,f857(a844,a844)),x100352),f775(f10(a844,f857(a844,a844),x100352),a331))),f775(f775(f9(x100352,f857(x100352,f857(x100352,x100352)),f857(x100352,f857(x100352,a844))),f775(f775(f10(f857(f857(x100352,x100352),f857(x100352,a844)),f857(f857(x100352,f857(x100352,x100352)),f857(x100352,f857(x100352,a844))),x100352),f10(f857(x100352,x100352),f857(x100352,a844),x100352)),f775(f775(f10(f857(x100352,a844),f857(f857(x100352,x100352),f857(x100352,a844)),x100352),f10(x100352,a844,x100352)),a330))),f179(x100352)))))),f775(f775(f9(x100352,f857(x100352,a844),f857(x100352,a844)),f775(f775(f10(f857(a844,a844),f857(f857(x100352,a844),f857(x100352,a844)),x100352),f10(a844,a844,x100352)),f775(f775(f10(a844,f857(a844,a844),x100352),a331),f775(f775(f9(x100352,f857(x100352,a844),a844),f334(x100352)),x100353)))),f775(f775(f9(x100352,f857(x100352,a844),a844),f334(x100352)),x100351))))))),f775(f775(f179(x100352),f14(x100352,f236(x100352),x100353)),f14(x100352,f236(x100352),x100351)))
% 184.29/184.11 [7112]~P117(x71123)+E(x71121,x71122)+~E(f775(f775(f242(x71123),x71121),x71124),f775(f775(f242(x71123),x71122),x71124))+~P1(f775(f775(f232(x71123),f2(x71123)),x71122))+~P1(f775(f775(f232(x71123),f2(x71123)),x71121))+~P1(f775(f775(f233(a850),f2(a850)),x71124))
% 184.29/184.11 [7407]~P100(x74072)+E(x74071,f180(f857(x74072,a844)))+~P1(f775(f63(x74072),x74071))+~P1(f775(f775(f334(x74072),x74074),x74071))+P1(f775(f775(f233(x74072),x74073),x74074))+~P1(f775(f775(f233(x74072),x74073),f775(f65(x74072,f236(x74072)),x74071)))
% 184.29/184.11 [7408]~P100(x74082)+E(x74081,f180(f857(x74082,a844)))+~P1(f775(f63(x74082),x74081))+~P1(f775(f775(f334(x74082),x74084),x74081))+P1(f775(f775(f232(x74082),x74083),x74084))+~P1(f775(f775(f232(x74082),x74083),f775(f65(x74082,f236(x74082)),x74081)))
% 184.29/184.11 [7409]~P98(x74092)+E(x74091,f180(f857(x74092,a844)))+~P1(f775(f63(x74092),x74091))+~P1(f775(f775(f334(x74092),x74094),x74091))+P1(f775(f775(f232(x74092),x74093),x74094))+~P1(f775(f775(f232(x74092),x74093),f775(f65(x74092,f104(x74092)),x74091)))
% 184.29/184.11 [7303]E(x73031,f2(a1))+E(f775(f775(f43(a1),x73032),x73031),x73033)+~P1(f775(f775(f232(a1),x73034),f2(a1)))+~E(x73032,f775(f775(f82(a1),f775(f775(f83(a1),x73031),x73033)),x73034))+P1(f775(f775(f233(a1),f2(a1)),x73031))+~P1(f775(f775(f233(a1),x73031),x73034))
% 184.29/184.11 [7319]E(f52(a1,x73192,x73191),x73193)+E(x73191,f2(a1))+~P1(f775(f775(f232(a1),x73193),f2(a1)))+~E(x73192,f775(f775(f82(a1),f775(f775(f83(a1),x73191),x73194)),x73193))+P1(f775(f775(f233(a1),f2(a1)),x73191))+~P1(f775(f775(f233(a1),x73191),x73193))
% 184.29/184.11 [7446]E(x74461,f2(a1))+E(f775(f775(f43(a1),x74462),x74461),x74463)+~E(x74462,f775(f775(f82(a1),f775(f775(f83(a1),x74461),x74463)),x74464))+~P1(f775(f775(f233(a1),f2(a1)),x74461))+~P1(f775(f775(f232(a1),f2(a1)),x74464))+~P1(f775(f775(f233(a1),x74464),x74461))
% 184.29/184.11 [7471]E(f52(a1,x74712,x74711),x74713)+E(x74711,f2(a1))+~E(x74712,f775(f775(f82(a1),f775(f775(f83(a1),x74711),x74714)),x74713))+~P1(f775(f775(f233(a1),f2(a1)),x74711))+~P1(f775(f775(f232(a1),f2(a1)),x74713))+~P1(f775(f775(f233(a1),x74713),x74711))
% 184.29/184.11 [7616]~P100(x76162)+E(x76161,f180(f857(x76162,a844)))+~P1(f775(f63(x76162),x76161))+~P1(f775(f775(f233(x76162),x76164),x76163))+~P1(f775(f775(f334(x76162),x76164),x76161))+P1(f775(f775(f233(x76162),f775(f65(x76162,f236(x76162)),x76161)),x76163))
% 184.29/184.11 [7617]~P100(x76172)+E(x76171,f180(f857(x76172,a844)))+~P1(f775(f63(x76172),x76171))+~P1(f775(f775(f232(x76172),x76174),x76173))+~P1(f775(f775(f334(x76172),x76174),x76171))+P1(f775(f775(f232(x76172),f775(f65(x76172,f236(x76172)),x76171)),x76173))
% 184.29/184.11 [8180]~P1(f775(f775(f232(a1),x81804),f2(a1)))+~E(x81801,f775(f775(f82(a1),f775(f775(f83(a1),x81802),x81803)),x81804))+~P1(f775(f775(f232(a1),f2(a1)),x81804))+~P1(f775(f775(f233(a1),x81804),x81802))+~P1(f775(f775(f233(a1),x81802),x81804))+P1(f775(f56(x81801,x81802),f775(f775(f241(a1,a1),x81803),x81804)))
% 184.29/184.11 [8346]~P99(x83461)+P1(f775(f775(f233(f857(x83461,a844)),f295(x83461,x83462,x83463)),f295(x83461,x83464,x83465)))+~P1(f775(f775(f233(x83461),x83463),x83465))+~P1(f775(f775(f232(x83461),x83464),x83462))+~P1(f775(f775(f232(x83461),x83464),x83465))+~P1(f775(f775(f232(x83461),x83463),x83465))
% 184.29/184.11 [8347]~P99(x83471)+P1(f775(f775(f233(f857(x83471,a844)),f295(x83471,x83472,x83473)),f295(x83471,x83474,x83475)))+~P1(f775(f775(f233(x83471),x83474),x83472))+~P1(f775(f775(f232(x83471),x83473),x83475))+~P1(f775(f775(f232(x83471),x83474),x83475))+~P1(f775(f775(f232(x83471),x83474),x83472))
% 184.29/184.11 [9129]P57(x91292,x91293,x91294,x91291)+E(x91291,f180(f857(x91292,a844)))+~P1(f775(f63(x91292),x91294))+~P1(f775(f63(x91292),x91291))+~P1(f775(f775(x91293,f537(x91291,x91294,x91293,x91292)),x91295))+~P1(f775(f775(f334(x91292),x91295),x91291))
% 184.29/184.11 [9255]~E(x92553,x92555)+~P66(x92551)+~P70(x92551)+~P38(x92553)+E(f775(f775(f8(a1,x92551),x92552),x92553),f775(f775(f8(a1,x92551),x92554),x92555))+P1(f775(f775(f232(a1),f2(a1)),f380(x92552,x92554,x92553,x92555,x92551)))
% 184.29/184.11 [9256]~E(x92563,x92565)+~P66(x92561)+~P70(x92561)+~P38(x92563)+E(f775(f775(f11(a1,x92561),x92562),x92563),f775(f775(f11(a1,x92561),x92564),x92565))+P1(f775(f775(f232(a1),f2(a1)),f533(x92562,x92564,x92563,x92565,x92561)))
% 184.29/184.11 [9421]~E(x94215,x94213)+~P66(x94211)+~P70(x94211)+~P38(x94215)+~E(f775(x94212,f380(x94214,x94212,x94215,x94213,x94211)),f775(x94214,f380(x94214,x94212,x94215,x94213,x94211)))+E(f775(f775(f8(a1,x94211),x94212),x94213),f775(f775(f8(a1,x94211),x94214),x94215))
% 184.29/184.11 [9422]~E(x94225,x94223)+~P66(x94221)+~P70(x94221)+~P38(x94225)+~E(f775(x94222,f533(x94224,x94222,x94225,x94223,x94221)),f775(x94224,f533(x94224,x94222,x94225,x94223,x94221)))+E(f775(f775(f11(a1,x94221),x94222),x94223),f775(f775(f11(a1,x94221),x94224),x94225))
% 184.29/184.11 [9506]~P77(x95063)+E(f775(x95061,x95062),f2(x95063))+~E(f775(f775(f8(x95064,x95063),x95061),x95065),f2(x95063))+~P1(f775(f63(x95064),x95065))+P1(f775(f775(f334(x95064),f463(x95062,x95061,x95065,x95064,x95063)),x95065))+~P1(f775(f775(f334(x95064),x95062),x95065))
% 184.29/184.11 [9628]~P77(x96283)+E(f775(x96281,x96282),f2(x96283))+~E(f775(f775(f8(x96284,x96283),x96281),x96285),f2(x96283))+~P1(f775(f63(x96284),x96285))+~P1(f775(f775(f334(x96284),x96282),x96285))+~P1(f775(f775(f232(x96283),f2(x96283)),f775(x96281,f463(x96282,x96281,x96285,x96284,x96283))))
% 184.29/184.11 [8259]~P123(x82591)+~P1(f775(f775(f232(x82591),f2(x82591)),x82593))+~P1(f775(f775(f233(x82591),x82593),x82595))+~P1(f775(f775(f233(x82591),x82592),x82594))+~P1(f775(f775(f233(x82591),f2(x82591)),x82594))+P1(f775(f775(f233(x82591),f775(f775(f83(x82591),x82592),x82593)),f775(f775(f83(x82591),x82594),x82595)))
% 184.29/184.11 [8260]~P123(x82601)+~P1(f775(f775(f232(x82601),f2(x82601)),x82603))+~P1(f775(f775(f232(x82601),f2(x82601)),x82602))+~P1(f775(f775(f233(x82601),x82603),x82605))+~P1(f775(f775(f233(x82601),x82602),x82604))+P1(f775(f775(f233(x82601),f775(f775(f83(x82601),x82602),x82603)),f775(f775(f83(x82601),x82604),x82605)))
% 184.29/184.11 [8261]~P123(x82611)+~P1(f775(f775(f232(x82611),x82612),x82614))+~P1(f775(f775(f232(x82611),f2(x82611)),x82613))+~P1(f775(f775(f233(x82611),x82613),x82615))+~P1(f775(f775(f233(x82611),f2(x82611)),x82612))+P1(f775(f775(f233(x82611),f775(f775(f83(x82611),x82612),x82613)),f775(f775(f83(x82611),x82614),x82615)))
% 184.29/184.11 [8262]~P123(x82621)+~P1(f775(f775(f232(x82621),x82623),x82625))+~P1(f775(f775(f232(x82621),f2(x82621)),x82622))+~P1(f775(f775(f233(x82621),x82622),x82624))+~P1(f775(f775(f233(x82621),f2(x82621)),x82623))+P1(f775(f775(f233(x82621),f775(f775(f83(x82621),x82622),x82623)),f775(f775(f83(x82621),x82624),x82625)))
% 184.29/184.11 [8263]~P63(x82631)+~P1(f775(f775(f232(x82631),x82632),x82634))+~P1(f775(f775(f233(x82631),x82635),x82633))+~P1(f775(f775(f233(x82631),f2(x82631)),x82635))+~P1(f775(f775(f233(x82631),f2(x82631)),x82632))+P1(f775(f775(f233(x82631),f775(f775(f283(x82631),x82632),x82633)),f775(f775(f283(x82631),x82634),x82635)))
% 184.29/184.11 [8264]~P63(x82641)+~P1(f775(f775(f232(x82641),x82645),x82643))+~P1(f775(f775(f232(x82641),f2(x82641)),x82642))+~P1(f775(f775(f233(x82641),x82642),x82644))+~P1(f775(f775(f233(x82641),f2(x82641)),x82645))+P1(f775(f775(f233(x82641),f775(f775(f283(x82641),x82642),x82643)),f775(f775(f283(x82641),x82644),x82645)))
% 184.29/184.11 [8265]~P131(x82651)+~P1(f775(f775(f232(x82651),x82653),x82655))+~P1(f775(f775(f232(x82651),x82652),x82654))+~P1(f775(f775(f232(x82651),f2(x82651)),x82653))+~P1(f775(f775(f232(x82651),f2(x82651)),x82654))+P1(f775(f775(f232(x82651),f775(f775(f83(x82651),x82652),x82653)),f775(f775(f83(x82651),x82654),x82655)))
% 184.29/184.11 [8266]~P131(x82661)+~P1(f775(f775(f232(x82661),x82663),x82665))+~P1(f775(f775(f232(x82661),x82662),x82664))+~P1(f775(f775(f232(x82661),f2(x82661)),x82663))+~P1(f775(f775(f232(x82661),f2(x82661)),x82662))+P1(f775(f775(f232(x82661),f775(f775(f83(x82661),x82662),x82663)),f775(f775(f83(x82661),x82664),x82665)))
% 184.29/184.11 [8267]~P63(x82671)+~P1(f775(f775(f233(x82671),f2(x82671)),x82675))+~P1(f775(f775(f232(x82671),x82675),x82673))+~P1(f775(f775(f232(x82671),x82672),x82674))+~P1(f775(f775(f232(x82671),f2(x82671)),x82672))+P1(f775(f775(f232(x82671),f775(f775(f283(x82671),x82672),x82673)),f775(f775(f283(x82671),x82674),x82675)))
% 184.29/184.11 [9543]~P66(x95435)+~P80(x95435)+E(x95431,f180(f857(x95432,a844)))+~P1(f775(f63(x95432),x95431))+P1(f775(f775(f334(x95432),f489(x95433,x95434,x95431,x95432,x95435)),x95431))+P1(f775(f775(f233(x95435),f775(f775(f8(x95432,x95435),x95434),x95431)),f775(f775(f8(x95432,x95435),x95433),x95431)))
% 184.29/184.11 [9648]~P66(x96481)+~P78(x96481)+~P1(f775(f63(x96482),x96485))+~P1(f775(f775(f232(x96481),f2(x96481)),f775(x96483,f413(x96483,x96484,x96485,x96482,x96481))))+P1(f775(f775(f232(x96481),f775(f775(f8(x96482,x96481),x96483),x96484)),f775(f775(f8(x96482,x96481),x96483),x96485)))+~P1(f775(f775(f232(f857(x96482,a844)),x96484),x96485))
% 184.29/184.11 [9814]~P66(x98143)+~P80(x98143)+E(x98141,f180(f857(x98142,a844)))+~P1(f775(f63(x98142),x98141))+~P1(f775(f775(f233(x98143),f775(x98144,f489(x98145,x98144,x98141,x98142,x98143))),f775(x98145,f489(x98145,x98144,x98141,x98142,x98143))))+P1(f775(f775(f233(x98143),f775(f775(f8(x98142,x98143),x98144),x98141)),f775(f775(f8(x98142,x98143),x98145),x98141)))
% 184.29/184.11 [6971]~P21(x69712,x69715,x69714)+E(x69711,f180(f857(x69712,a844)))+E(x69713,f180(f857(x69712,a844)))+~P1(f775(f63(x69712),x69711))+~P1(f775(f63(x69712),x69713))+E(f775(x69714,f775(f775(f103(f857(x69712,a844)),x69713),x69711)),f775(f775(x69715,f775(x69714,x69713)),f775(x69714,x69711)))
% 184.29/184.11 [7581]~P141(x75811,x75814,x75813)+P1(f775(x75811,x75812))+~P1(f775(f775(f233(a1),x75814),f2(a1)))+~P1(f775(f775(f232(a1),x75815),f2(a1)))+~E(x75813,f775(f775(f82(a1),f775(f775(f83(a1),x75814),x75812)),x75815))+~P1(f775(f775(f233(a1),x75814),x75815))
% 184.29/184.11 [7582]~P140(x75821,x75824,x75823)+P1(f775(x75821,x75822))+~P1(f775(f775(f233(a1),x75824),f2(a1)))+~P1(f775(f775(f232(a1),x75822),f2(a1)))+~E(x75823,f775(f775(f82(a1),f775(f775(f83(a1),x75824),x75825)),x75822))+~P1(f775(f775(f233(a1),x75824),x75822))
% 184.29/184.11 [7625]~P141(x76251,x76254,x76253)+P1(f775(x76251,x76252))+~E(x76253,f775(f775(f82(a1),f775(f775(f83(a1),x76254),x76252)),x76255))+~P1(f775(f775(f233(a1),f2(a1)),x76254))+~P1(f775(f775(f232(a1),f2(a1)),x76255))+~P1(f775(f775(f233(a1),x76255),x76254))
% 184.29/184.11 [7626]~P140(x76261,x76264,x76263)+P1(f775(x76261,x76262))+~E(x76263,f775(f775(f82(a1),f775(f775(f83(a1),x76264),x76265)),x76262))+~P1(f775(f775(f233(a1),f2(a1)),x76264))+~P1(f775(f775(f232(a1),f2(a1)),x76262))+~P1(f775(f775(f233(a1),x76262),x76264))
% 184.29/184.11 [8551]P1(f775(f775(x85511,x85512),x85513))+~P1(f775(f775(x85511,f775(f775(f43(a1),x85514),x85515)),f52(a1,x85514,x85515)))+~P1(f775(f775(f233(a1),x85515),f2(a1)))+~P1(f775(f775(f232(a1),x85513),f2(a1)))+~E(x85514,f775(f775(f82(a1),f775(f775(f83(a1),x85515),x85512)),x85513))+~P1(f775(f775(f233(a1),x85515),x85513))
% 184.29/184.11 [8558]P1(f775(f775(x85581,x85582),x85583))+~P1(f775(f775(x85581,f775(f775(f43(a1),x85584),x85585)),f52(a1,x85584,x85585)))+~E(x85584,f775(f775(f82(a1),f775(f775(f83(a1),x85585),x85582)),x85583))+~P1(f775(f775(f233(a1),f2(a1)),x85585))+~P1(f775(f775(f232(a1),f2(a1)),x85583))+~P1(f775(f775(f233(a1),x85583),x85585))
% 184.29/184.11 [8777]E(x87771,x87772)+~P54(x87773,x87775,x87774)+~P1(f775(f775(f334(x87773),x87772),x87775))+~P1(f775(f775(f334(x87773),x87771),x87775))+P1(f775(f775(f334(f856(x87773,x87773)),f775(f775(f241(x87773,x87773),x87771),x87772)),x87774))+P1(f775(f775(f334(f856(x87773,x87773)),f775(f775(f241(x87773,x87773),x87772),x87771)),x87774))
% 184.29/184.11 [9572]~P66(x95725)+~P78(x95725)+~P1(f775(f63(x95721),x95724))+P1(f775(f775(f232(x95725),f775(f775(f8(x95721,x95725),x95722),x95723)),f775(f775(f8(x95721,x95725),x95722),x95724)))+~P1(f775(f775(f232(f857(x95721,a844)),x95723),x95724))+P1(f775(f775(f334(x95721),f413(x95722,x95723,x95724,x95721,x95725)),f775(f775(f3(f857(x95721,a844)),x95724),x95723)))
% 184.29/184.11 [9655]E(x96551,f180(f857(x96552,a844)))+~P1(f775(f63(x96552),x96553))+~P1(f775(f63(x96552),x96551))+P1(f775(f775(f334(f856(f857(x96552,a844),f857(x96552,a844))),f775(f775(f241(f857(x96552,a844),f857(x96552,a844)),x96553),x96551)),f324(x96552,x96554)))+~P1(f775(f775(f334(x96552),x96555),x96551))+~P1(f775(f775(f334(f856(x96552,x96552)),f775(f775(f241(x96552,x96552),f539(x96554,x96551,x96553,x96552)),x96555)),x96554))
% 184.29/184.11 [9656]E(x96561,f180(f857(x96562,a844)))+~P1(f775(f63(x96562),x96563))+~P1(f775(f63(x96562),x96561))+P1(f775(f775(f334(f856(f857(x96562,a844),f857(x96562,a844))),f775(f775(f241(f857(x96562,a844),f857(x96562,a844)),x96563),x96561)),f324(x96562,x96564)))+~P1(f775(f775(f334(x96562),x96565),x96561))+~P1(f775(f775(f334(f856(x96562,x96562)),f775(f775(f241(x96562,x96562),f623(x96564,x96561,x96563,x96562)),x96565)),x96564))
% 184.29/184.11 [9817]~P77(x98171)+~E(f775(f775(f8(x98175,x98171),x98172),x98176),x98174)+~P1(f775(f63(x98175),x98176))+P1(f775(f775(f334(x98175),f464(x98173,x98174,x98172,x98176,x98175,x98171)),x98176))+P1(f775(f775(f232(x98171),f775(x98172,x98173)),x98174))+~P1(f775(f775(f334(x98175),x98173),x98176))
% 184.29/184.11 [9871]~P77(x98711)+~E(f775(f775(f8(x98715,x98711),x98712),x98716),x98714)+~P1(f775(f63(x98715),x98716))+~P1(f775(f775(f334(x98715),x98713),x98716))+~P1(f775(f775(f232(x98711),f2(x98711)),f775(x98712,f464(x98713,x98714,x98712,x98716,x98715,x98711))))+P1(f775(f775(f232(x98711),f775(x98712,x98713)),x98714))
% 184.29/184.11 [9988]~E(x99885,x99888)+~E(x99884,x99887)+~P66(x99882)+~P102(x99881)+E(f775(f775(f8(x99881,x99882),x99883),f775(f294(x99881,x99884),x99885)),f775(f775(f8(x99881,x99882),x99886),f775(f294(x99881,x99887),x99888)))+P1(f775(f775(f232(x99881),x99884),f372(x99883,x99886,x99885,x99888,x99884,x99887,x99881,x99882)))
% 184.29/184.11 [10004]~E(x100047,x100044)+~E(x100048,x100045)+~P66(x100042)+~P102(x100041)+~E(f775(x100043,f372(x100046,x100043,x100048,x100045,x100047,x100044,x100041,x100042)),f775(x100046,f372(x100046,x100043,x100048,x100045,x100047,x100044,x100041,x100042)))+E(f775(f775(f8(x100041,x100042),x100043),f775(f294(x100041,x100044),x100045)),f775(f775(f8(x100041,x100042),x100046),f775(f294(x100041,x100047),x100048)))
% 184.29/184.11 [10007]~E(x100074,x100077)+~E(x100075,x100078)+~P66(x100072)+~P102(x100071)+E(f775(f775(f8(x100071,x100072),x100073),f775(f294(x100071,x100074),x100075)),f775(f775(f8(x100071,x100072),x100076),f775(f294(x100071,x100077),x100078)))+P1(f775(f775(f233(x100071),f372(x100073,x100076,x100075,x100078,x100074,x100077,x100071,x100072)),x100075))
% 184.29/184.11 [9660]~P12(x96605,x96609,x96606)+~P12(x96601,x966010,x96603)+~P17(x96601,x96605,f857(x96602,a844),x96603,x96606,x96608)+~P1(f775(f775(f334(x96605),x96607),x96609))+~P1(f775(f775(f334(x96601),x96604),x966010))+E(f775(f775(f46(x96601,f857(x96602,a844)),f775(f277(x96601,x96601,x96603),f775(f775(f302(x96601),x96604),f180(f857(x96601,a844))))),f775(f775(f10(f857(x96605,f857(x96602,a844)),f857(x96602,a844),x96601),f775(f46(x96605,f857(x96602,a844)),f775(f277(x96605,x96605,x96606),f775(f775(f302(x96605),x96607),f180(f857(x96605,a844)))))),x96608)),f775(f775(x96608,x96604),x96607))
% 184.29/184.11 [5463]~P100(x54633)+~P18(x54633,x54632)+~P18(x54633,x54631)+E(x54631,x54632)+~E(f775(f158(x54633),x54631),f775(f158(x54633),x54632))+~P1(f775(f127(x54633),x54632))+~P1(f775(f127(x54633),x54631))
% 184.29/184.11 [4817]~P122(x48172)+~P127(x48172)+~P138(x48172)+~P105(x48172)+~E(x48173,f2(x48172))+E(x48171,f2(a850))+E(f775(f775(f242(x48172),x48173),x48171),f2(x48172))
% 184.29/184.11 [9015]E(x90151,f2(a850))+~E(x90152,f775(f775(f82(a850),f775(f775(f83(a850),f775(f240(a850,a850),x90153)),x90151)),f775(f250(a850,a850),x90153)))+P1(f775(f55(x90152,x90151),x90153))+~P1(f775(f775(f232(a850),f775(f250(a850,a850),x90153)),f2(a850)))+~P1(f775(f775(f232(a850),f2(a850)),f775(f250(a850,a850),x90153)))+~P1(f775(f775(f233(a850),x90151),f775(f250(a850,a850),x90153)))+~P1(f775(f775(f233(a850),f775(f250(a850,a850),x90153)),x90151))
% 184.29/184.11 [9023]~E(f775(f240(a850,a850),x90233),f2(a850))+~E(x90231,f775(f775(f82(a850),f775(f775(f83(a850),f775(f240(a850,a850),x90233)),x90232)),f775(f250(a850,a850),x90233)))+P1(f775(f55(x90231,x90232),x90233))+~P1(f775(f775(f232(a850),f775(f250(a850,a850),x90233)),f2(a850)))+~P1(f775(f775(f232(a850),f2(a850)),f775(f250(a850,a850),x90233)))+~P1(f775(f775(f233(a850),x90232),f775(f250(a850,a850),x90233)))+~P1(f775(f775(f233(a850),f775(f250(a850,a850),x90233)),x90232))
% 184.29/184.11 [7940]~P64(x79402)+E(x79401,f180(f857(x79402,a844)))+E(x79403,f180(f857(x79402,a844)))+~P1(f775(f63(x79402),x79401))+~P1(f775(f63(x79402),x79403))+~E(f775(f775(f104(f857(x79402,a844)),x79403),x79401),f180(f857(x79402,a844)))+E(f775(f775(f83(x79402),f775(f65(x79402,f83(x79402)),x79403)),f775(f65(x79402,f83(x79402)),x79401)),f775(f65(x79402,f83(x79402)),f775(f775(f103(f857(x79402,a844)),x79403),x79401)))
% 184.29/184.11 [7719]E(x77191,f2(a1))+E(f775(f775(f43(a1),x77192),x77191),x77193)+~P1(f775(f775(f232(a1),x77194),f2(a1)))+~E(x77192,f775(f775(f82(a1),f775(f775(f83(a1),x77191),x77193)),x77194))+~P1(f775(f775(f232(a1),f2(a1)),x77194))+~P1(f775(f775(f233(a1),x77194),x77191))+~P1(f775(f775(f233(a1),x77191),x77194))
% 184.29/184.11 [7725]E(f52(a1,x77252,x77251),x77253)+E(x77251,f2(a1))+~P1(f775(f775(f232(a1),x77253),f2(a1)))+~E(x77252,f775(f775(f82(a1),f775(f775(f83(a1),x77251),x77254)),x77253))+~P1(f775(f775(f232(a1),f2(a1)),x77253))+~P1(f775(f775(f233(a1),x77253),x77251))+~P1(f775(f775(f233(a1),x77251),x77253))
% 184.29/184.11 [6744]~P7(x67442)+E(x67441,f2(x67442))+E(x67443,f2(x67442))+~E(f775(f775(f43(x67442),x67444),x67443),f775(f775(f43(x67442),x67445),x67441))+E(f775(f775(f83(x67442),x67444),x67441),f775(f775(f83(x67442),x67443),x67445))+~P1(f775(f775(f279(x67442),x67441),x67445))+~P1(f775(f775(f279(x67442),x67443),x67444))
% 184.29/184.11 [6745]~P7(x67452)+E(x67451,f2(x67452))+E(x67453,f2(x67452))+~E(f775(f775(f83(x67452),x67454),x67453),f775(f775(f83(x67452),x67451),x67455))+E(f775(f775(f43(x67452),x67454),x67451),f775(f775(f43(x67452),x67455),x67453))+~P1(f775(f775(f279(x67452),x67451),x67454))+~P1(f775(f775(f279(x67452),x67453),x67455))
% 184.29/184.11 [7634]~P22(x76342,x76345,x76344)+E(x76341,f180(f857(x76342,a844)))+E(x76343,f180(f857(x76342,a844)))+~P1(f775(f63(x76342),x76341))+~P1(f775(f63(x76342),x76343))+~E(f775(f775(f104(f857(x76342,a844)),x76343),x76341),f180(f857(x76342,a844)))+E(f775(x76344,f775(f775(f103(f857(x76342,a844)),x76343),x76341)),f775(f775(x76345,f775(x76344,x76343)),f775(x76344,x76341)))
% 184.29/184.11 [9227]~P29(x92273,x92271,x92275,x92274)+~P29(x92271,x92273,x92276,x92272)+E(f775(f42(x92271),x92272),f775(f42(x92273),x92274))+~P1(f775(f63(x92273),x92274))+~P1(f775(f63(x92271),x92272))+~P1(f775(f775(f232(f857(x92273,a844)),f775(f303(x92271,x92273,x92276),x92272)),x92274))+~P1(f775(f775(f232(f857(x92271,a844)),f775(f303(x92273,x92271,x92275),x92274)),x92272))
% 184.29/184.11 [9175]~P1(f775(f775(f233(a1),f775(f775(f82(a1),f775(f775(f83(a1),x91755),x91751)),x91756)),f2(a1)))+~E(f775(f775(f82(a1),f775(f775(f83(a1),x91753),x91752)),x91754),f775(f775(f82(a1),f775(f775(f83(a1),x91755),x91751)),x91756))+~P1(f775(f775(f233(a1),f2(a1)),x91755))+~P1(f775(f775(f232(a1),f2(a1)),x91756))+~P1(f775(f775(f233(a1),x91754),x91753))+~P1(f775(f775(f232(a1),x91755),x91753))+P1(f775(f775(f232(a1),x91751),x91752))
% 184.29/184.11 [8966]~E(f775(f775(f82(a1),f775(f775(f83(a1),x89663),x89661)),x89664),f775(f775(f82(a1),f775(f775(f83(a1),x89665),x89662)),x89666))+~P1(f775(f775(f233(a1),f2(a1)),x89665))+~P1(f775(f775(f232(a1),f2(a1)),x89664))+~P1(f775(f775(f233(a1),x89666),x89665))+~P1(f775(f775(f232(a1),x89665),x89663))+P1(f775(f775(f232(a1),x89661),x89662))+~P1(f775(f775(f232(a1),f2(a1)),f775(f775(f82(a1),f775(f775(f83(a1),x89665),x89662)),x89666)))
% 184.29/184.11 [9131]~P124(x91311)+~E(f775(f775(f82(x91311),x91312),x91314),f80(x91311))+~P1(f775(f775(f232(x91311),f2(x91311)),x91314))+~P1(f775(f775(f232(x91311),f2(x91311)),x91312))+~P1(f775(f775(f233(x91311),x91315),x91316))+~P1(f775(f775(f233(x91311),x91313),x91316))+P1(f775(f775(f233(x91311),f775(f775(f82(x91311),f775(f775(f83(x91311),x91312),x91313)),f775(f775(f83(x91311),x91314),x91315))),x91316))
% 184.29/184.11 [9132]~P126(x91321)+~E(f775(f775(f82(x91321),x91322),x91324),f80(x91321))+~P1(f775(f775(f232(x91321),x91325),x91326))+~P1(f775(f775(f232(x91321),x91323),x91326))+~P1(f775(f775(f232(x91321),f2(x91321)),x91324))+~P1(f775(f775(f232(x91321),f2(x91321)),x91322))+P1(f775(f775(f232(x91321),f775(f775(f82(x91321),f775(f775(f83(x91321),x91322),x91323)),f775(f775(f83(x91321),x91324),x91325))),x91326))
% 184.29/184.11 [9913]~P12(x99137,x99136,x99135)+E(x99131,x99132)+~P16(x99137,f857(x99134,a844),x99135,x99133)+E(f775(x99133,f499(x99131,x99132,x99133,x99134,x99135,x99136,x99137)),f775(x99133,f500(x99131,x99132,x99133,x99134,x99135,x99136,x99137)))+~E(f775(f775(f46(x99137,f857(x99134,a844)),x99131),x99133),f775(f775(f46(x99137,f857(x99134,a844)),x99132),x99133))+~P1(f775(f775(f334(f857(x99137,a844)),x99132),f775(f775(f61(x99137),x99136),x99135)))+~P1(f775(f775(f334(f857(x99137,a844)),x99131),f775(f775(f61(x99137),x99136),x99135)))
% 184.29/184.11 [9953]~P12(x99533,x99537,x99536)+E(x99531,x99532)+~P16(x99533,f857(x99535,a844),x99536,x99534)+~E(f775(f775(f46(x99533,f857(x99535,a844)),x99531),x99534),f775(f775(f46(x99533,f857(x99535,a844)),x99532),x99534))+P1(f775(f775(f334(x99533),f500(x99531,x99532,x99534,x99535,x99536,x99537,x99533)),x99537))+~P1(f775(f775(f334(f857(x99533,a844)),x99532),f775(f775(f61(x99533),x99537),x99536)))+~P1(f775(f775(f334(f857(x99533,a844)),x99531),f775(f775(f61(x99533),x99537),x99536)))
% 184.29/184.11 [9954]~P12(x99543,x99547,x99546)+E(x99541,x99542)+~P16(x99543,f857(x99545,a844),x99546,x99544)+~E(f775(f775(f46(x99543,f857(x99545,a844)),x99541),x99544),f775(f775(f46(x99543,f857(x99545,a844)),x99542),x99544))+P1(f775(f775(f334(x99543),f499(x99541,x99542,x99544,x99545,x99546,x99547,x99543)),x99547))+~P1(f775(f775(f334(f857(x99543,a844)),x99542),f775(f775(f61(x99543),x99547),x99546)))+~P1(f775(f775(f334(f857(x99543,a844)),x99541),f775(f775(f61(x99543),x99547),x99546)))
% 184.29/184.11 [10020]E(x100201,x100202)+~P12(x100203,x100206,x100207)+~P16(x100203,f857(x100204,a844),x100207,x100205)+~E(f775(f775(f46(x100203,f857(x100204,a844)),x100201),x100205),f775(f775(f46(x100203,f857(x100204,a844)),x100202),x100205))+~P1(f775(f775(f334(f856(x100203,x100203)),f775(f775(f241(x100203,x100203),f500(x100201,x100202,x100205,x100204,x100207,x100206,x100203)),f499(x100201,x100202,x100205,x100204,x100207,x100206,x100203))),x100207))+~P1(f775(f775(f334(f857(x100203,a844)),x100202),f775(f775(f61(x100203),x100206),x100207)))+~P1(f775(f775(f334(f857(x100203,a844)),x100201),f775(f775(f61(x100203),x100206),x100207)))
% 184.29/184.11 [8965]~P12(x89651,x89657,x89654)+~E(x89655,x89656)+~P1(f775(f775(f334(x89651),x89653),x89656))+~P1(f775(f775(f334(x89651),x89652),x89655))+~P1(f775(f775(f334(f857(x89651,a844)),x89656),f775(f775(f61(x89651),x89657),x89654)))+~P1(f775(f775(f334(f857(x89651,a844)),x89655),f775(f775(f61(x89651),x89657),x89654)))+P1(f775(f775(f334(f856(x89651,x89651)),f775(f775(f241(x89651,x89651),x89652),x89653)),x89654))
% 184.29/184.11 [9096]E(x90961,x90962)+~P12(x90963,x90964,x90965)+~P1(f775(f775(f334(x90963),x90966),x90962))+~P1(f775(f775(f334(x90963),x90967),x90961))+~P1(f775(f775(f334(f857(x90963,a844)),x90962),f775(f775(f61(x90963),x90964),x90965)))+~P1(f775(f775(f334(f857(x90963,a844)),x90961),f775(f775(f61(x90963),x90964),x90965)))+~P1(f775(f775(f334(f856(x90963,x90963)),f775(f775(f241(x90963,x90963),x90967),x90966)),x90965))
% 184.29/184.11 [10037]~P12(x100379,x100378,x100377)+~P12(x100371,x1003711,x1003710)+~P17(x100371,x100379,f857(x100376,a844),x1003710,x100377,x100375)+P1(f775(f775(f334(x100371),f501(x100372,x100373,x100374,x100375,x100376,x100377,x100378,x100379,x1003710,x1003711,x100371)),x1003711))+~P1(f775(f775(f334(f857(x100379,a844)),x100373),f775(f775(f61(x100379),x100378),x100377)))+~P1(f775(f775(f334(f857(x100371,a844)),x100374),f775(f775(f61(x100371),x1003711),x1003710)))+P1(f775(f775(f334(f857(x100376,a844)),f775(f775(f46(x100371,f857(x100376,a844)),x100374),f775(f775(f10(f857(x100379,f857(x100376,a844)),f857(x100376,a844),x100371),f775(f46(x100379,f857(x100376,a844)),x100373)),x100375))),x100372))
% 184.29/184.11 [10038]~P12(x1003811,x1003810,x100389)+~P12(x100381,x100388,x100387)+~P17(x1003811,x100381,f857(x100386,a844),x100389,x100387,x100385)+P1(f775(f775(f334(x100381),f502(x100382,x100383,x100384,x100385,x100386,x100387,x100388,x100381,x100389,x1003810,x1003811)),x100388))+~P1(f775(f775(f334(f857(x1003811,a844)),x100384),f775(f775(f61(x1003811),x1003810),x100389)))+~P1(f775(f775(f334(f857(x100381,a844)),x100383),f775(f775(f61(x100381),x100388),x100387)))+P1(f775(f775(f334(f857(x100386,a844)),f775(f775(f46(x1003811,f857(x100386,a844)),x100384),f775(f775(f10(f857(x100381,f857(x100386,a844)),f857(x100386,a844),x1003811),f775(f46(x100381,f857(x100386,a844)),x100383)),x100385))),x100382))
% 184.29/184.11 [10041]~P12(x100412,x100418,x100419)+~P12(x100414,x1004110,x1004111)+~P17(x100412,x100414,f857(x100411,a844),x100419,x1004111,x100416)+~P1(f775(f775(f334(f857(x100412,a844)),x100413),f775(f775(f61(x100412),x100418),x100419)))+~P1(f775(f775(f334(f857(x100414,a844)),x100415),f775(f775(f61(x100414),x1004110),x1004111)))+~P1(f775(f775(f334(f857(x100411,a844)),f775(f775(x100416,f501(x100417,x100415,x100413,x100416,x100411,x1004111,x1004110,x100414,x100419,x100418,x100412)),f502(x100417,x100415,x100413,x100416,x100411,x1004111,x1004110,x100414,x100419,x100418,x100412))),x100417))+P1(f775(f775(f334(f857(x100411,a844)),f775(f775(f46(x100412,f857(x100411,a844)),x100413),f775(f775(f10(f857(x100414,f857(x100411,a844)),f857(x100411,a844),x100412),f775(f46(x100414,f857(x100411,a844)),x100415)),x100416))),x100417))
% 184.29/184.11 [9008]E(x90081,x90082)+~P100(x90084)+~P29(x90083,x90084,x90085,f775(f775(f103(f857(x90083,a844)),f775(f158(x90083),x90081)),f775(f158(x90083),x90082)))+~E(f775(f158(x90083),x90081),f775(f158(x90083),x90082))+~P18(x90084,f775(f775(f143(x90083,x90084),x90085),x90082))+~P18(x90084,f775(f775(f143(x90083,x90084),x90085),x90081))+~P1(f775(f127(x90084),f775(f775(f143(x90083,x90084),x90085),x90082)))+~P1(f775(f127(x90084),f775(f775(f143(x90083,x90084),x90085),x90081)))
% 184.29/184.11 %EqnAxiom
% 184.29/184.11 [1]E(x11,x11)
% 184.29/184.11 [2]E(x22,x21)+~E(x21,x22)
% 184.29/184.11 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 184.29/184.11 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 184.29/184.11 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 184.29/184.11 [6]~E(x61,x62)+E(f102(x61),f102(x62))
% 184.29/184.11 [7]~E(x71,x72)+E(f34(x71),f34(x72))
% 184.29/184.11 [8]~E(x81,x82)+E(f775(x81,x83),f775(x82,x83))
% 184.29/184.11 [9]~E(x91,x92)+E(f775(x93,x91),f775(x93,x92))
% 184.29/184.11 [10]~E(x101,x102)+E(f86(x101),f86(x102))
% 184.29/184.11 [11]~E(x111,x112)+E(f586(x111,x113,x114,x115,x116,x117),f586(x112,x113,x114,x115,x116,x117))
% 184.29/184.11 [12]~E(x121,x122)+E(f586(x123,x121,x124,x125,x126,x127),f586(x123,x122,x124,x125,x126,x127))
% 184.29/184.11 [13]~E(x131,x132)+E(f586(x133,x134,x131,x135,x136,x137),f586(x133,x134,x132,x135,x136,x137))
% 184.29/184.11 [14]~E(x141,x142)+E(f586(x143,x144,x145,x141,x146,x147),f586(x143,x144,x145,x142,x146,x147))
% 184.29/184.11 [15]~E(x151,x152)+E(f586(x153,x154,x155,x156,x151,x157),f586(x153,x154,x155,x156,x152,x157))
% 184.29/184.11 [16]~E(x161,x162)+E(f586(x163,x164,x165,x166,x167,x161),f586(x163,x164,x165,x166,x167,x162))
% 184.29/184.11 [17]~E(x171,x172)+E(f788(x171,x173,x174),f788(x172,x173,x174))
% 184.29/184.11 [18]~E(x181,x182)+E(f788(x183,x181,x184),f788(x183,x182,x184))
% 184.29/184.11 [19]~E(x191,x192)+E(f788(x193,x194,x191),f788(x193,x194,x192))
% 184.29/184.11 [20]~E(x201,x202)+E(f9(x201,x203,x204),f9(x202,x203,x204))
% 184.29/184.11 [21]~E(x211,x212)+E(f9(x213,x211,x214),f9(x213,x212,x214))
% 184.29/184.11 [22]~E(x221,x222)+E(f9(x223,x224,x221),f9(x223,x224,x222))
% 184.29/184.11 [23]~E(x231,x232)+E(f179(x231),f179(x232))
% 184.29/184.11 [24]~E(x241,x242)+E(f103(x241),f103(x242))
% 184.29/184.11 [25]~E(x251,x252)+E(f180(x251),f180(x252))
% 184.29/184.11 [26]~E(x261,x262)+E(f502(x261,x263,x264,x265,x266,x267,x268,x269,x2610,x2611,x2612),f502(x262,x263,x264,x265,x266,x267,x268,x269,x2610,x2611,x2612))
% 184.29/184.11 [27]~E(x271,x272)+E(f502(x273,x271,x274,x275,x276,x277,x278,x279,x2710,x2711,x2712),f502(x273,x272,x274,x275,x276,x277,x278,x279,x2710,x2711,x2712))
% 184.29/184.11 [28]~E(x281,x282)+E(f502(x283,x284,x281,x285,x286,x287,x288,x289,x2810,x2811,x2812),f502(x283,x284,x282,x285,x286,x287,x288,x289,x2810,x2811,x2812))
% 184.29/184.11 [29]~E(x291,x292)+E(f502(x293,x294,x295,x291,x296,x297,x298,x299,x2910,x2911,x2912),f502(x293,x294,x295,x292,x296,x297,x298,x299,x2910,x2911,x2912))
% 184.29/184.11 [30]~E(x301,x302)+E(f502(x303,x304,x305,x306,x301,x307,x308,x309,x3010,x3011,x3012),f502(x303,x304,x305,x306,x302,x307,x308,x309,x3010,x3011,x3012))
% 184.29/184.11 [31]~E(x311,x312)+E(f502(x313,x314,x315,x316,x317,x311,x318,x319,x3110,x3111,x3112),f502(x313,x314,x315,x316,x317,x312,x318,x319,x3110,x3111,x3112))
% 184.29/184.11 [32]~E(x321,x322)+E(f502(x323,x324,x325,x326,x327,x328,x321,x329,x3210,x3211,x3212),f502(x323,x324,x325,x326,x327,x328,x322,x329,x3210,x3211,x3212))
% 184.29/184.11 [33]~E(x331,x332)+E(f502(x333,x334,x335,x336,x337,x338,x339,x331,x3310,x3311,x3312),f502(x333,x334,x335,x336,x337,x338,x339,x332,x3310,x3311,x3312))
% 184.29/184.11 [34]~E(x341,x342)+E(f502(x343,x344,x345,x346,x347,x348,x349,x3410,x341,x3411,x3412),f502(x343,x344,x345,x346,x347,x348,x349,x3410,x342,x3411,x3412))
% 184.29/184.11 [35]~E(x351,x352)+E(f502(x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x351,x3512),f502(x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x352,x3512))
% 184.29/184.11 [36]~E(x361,x362)+E(f502(x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612,x361),f502(x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612,x362))
% 184.29/184.11 [37]~E(x371,x372)+E(f236(x371),f236(x372))
% 184.29/184.11 [38]~E(x381,x382)+E(f104(x381),f104(x382))
% 184.29/184.11 [39]~E(x391,x392)+E(f105(x391),f105(x392))
% 184.29/184.11 [40]~E(x401,x402)+E(f39(x401),f39(x402))
% 184.29/184.11 [41]~E(x411,x412)+E(f334(x411),f334(x412))
% 184.29/184.11 [42]~E(x421,x422)+E(f80(x421),f80(x422))
% 184.29/184.11 [43]~E(x431,x432)+E(f501(x431,x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x4312),f501(x432,x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x4312))
% 184.29/184.11 [44]~E(x441,x442)+E(f501(x443,x441,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412),f501(x443,x442,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412))
% 184.29/184.11 [45]~E(x451,x452)+E(f501(x453,x454,x451,x455,x456,x457,x458,x459,x4510,x4511,x4512),f501(x453,x454,x452,x455,x456,x457,x458,x459,x4510,x4511,x4512))
% 184.29/184.11 [46]~E(x461,x462)+E(f501(x463,x464,x465,x461,x466,x467,x468,x469,x4610,x4611,x4612),f501(x463,x464,x465,x462,x466,x467,x468,x469,x4610,x4611,x4612))
% 184.29/184.11 [47]~E(x471,x472)+E(f501(x473,x474,x475,x476,x471,x477,x478,x479,x4710,x4711,x4712),f501(x473,x474,x475,x476,x472,x477,x478,x479,x4710,x4711,x4712))
% 184.29/184.11 [48]~E(x481,x482)+E(f501(x483,x484,x485,x486,x487,x481,x488,x489,x4810,x4811,x4812),f501(x483,x484,x485,x486,x487,x482,x488,x489,x4810,x4811,x4812))
% 184.29/184.11 [49]~E(x491,x492)+E(f501(x493,x494,x495,x496,x497,x498,x491,x499,x4910,x4911,x4912),f501(x493,x494,x495,x496,x497,x498,x492,x499,x4910,x4911,x4912))
% 184.29/184.11 [50]~E(x501,x502)+E(f501(x503,x504,x505,x506,x507,x508,x509,x501,x5010,x5011,x5012),f501(x503,x504,x505,x506,x507,x508,x509,x502,x5010,x5011,x5012))
% 184.29/184.11 [51]~E(x511,x512)+E(f501(x513,x514,x515,x516,x517,x518,x519,x5110,x511,x5111,x5112),f501(x513,x514,x515,x516,x517,x518,x519,x5110,x512,x5111,x5112))
% 184.29/184.11 [52]~E(x521,x522)+E(f501(x523,x524,x525,x526,x527,x528,x529,x5210,x5211,x521,x5212),f501(x523,x524,x525,x526,x527,x528,x529,x5210,x5211,x522,x5212))
% 184.29/184.11 [53]~E(x531,x532)+E(f501(x533,x534,x535,x536,x537,x538,x539,x5310,x5311,x5312,x531),f501(x533,x534,x535,x536,x537,x538,x539,x5310,x5311,x5312,x532))
% 184.29/184.11 [54]~E(x541,x542)+E(f113(x541),f113(x542))
% 184.29/184.11 [55]~E(x551,x552)+E(f232(x551),f232(x552))
% 184.29/184.11 [56]~E(x561,x562)+E(f857(x561,x563),f857(x562,x563))
% 184.29/184.11 [57]~E(x571,x572)+E(f857(x573,x571),f857(x573,x572))
% 184.29/184.11 [58]~E(x581,x582)+E(f6(x581),f6(x582))
% 184.29/184.11 [59]~E(x591,x592)+E(f823(x591,x593,x594),f823(x592,x593,x594))
% 184.29/184.11 [60]~E(x601,x602)+E(f823(x603,x601,x604),f823(x603,x602,x604))
% 184.29/184.11 [61]~E(x611,x612)+E(f823(x613,x614,x611),f823(x613,x614,x612))
% 184.29/184.11 [62]~E(x621,x622)+E(f81(x621),f81(x622))
% 184.29/184.11 [63]~E(x631,x632)+E(f233(x631),f233(x632))
% 184.29/184.11 [64]~E(x641,x642)+E(f181(x641),f181(x642))
% 184.29/184.11 [65]~E(x651,x652)+E(f10(x651,x653,x654),f10(x652,x653,x654))
% 184.29/184.11 [66]~E(x661,x662)+E(f10(x663,x661,x664),f10(x663,x662,x664))
% 184.29/184.11 [67]~E(x671,x672)+E(f10(x673,x674,x671),f10(x673,x674,x672))
% 184.29/184.11 [68]~E(x681,x682)+E(f106(x681),f106(x682))
% 184.29/184.11 [69]~E(x691,x692)+E(f851(x691),f851(x692))
% 184.29/184.11 [70]~E(x701,x702)+E(f20(x701,x703,x704),f20(x702,x703,x704))
% 184.29/184.11 [71]~E(x711,x712)+E(f20(x713,x711,x714),f20(x713,x712,x714))
% 184.29/184.11 [72]~E(x721,x722)+E(f20(x723,x724,x721),f20(x723,x724,x722))
% 184.29/184.11 [73]~E(x731,x732)+E(f256(x731),f256(x732))
% 184.29/184.11 [74]~E(x741,x742)+E(f42(x741),f42(x742))
% 184.29/184.11 [75]~E(x751,x752)+E(f61(x751),f61(x752))
% 184.29/184.11 [76]~E(x761,x762)+E(f63(x761),f63(x762))
% 184.29/184.11 [77]~E(x771,x772)+E(f83(x771),f83(x772))
% 184.29/184.11 [78]~E(x781,x782)+E(f856(x781,x783),f856(x782,x783))
% 184.29/184.11 [79]~E(x791,x792)+E(f856(x793,x791),f856(x793,x792))
% 184.29/184.11 [80]~E(x801,x802)+E(f43(x801),f43(x802))
% 184.29/184.11 [81]~E(x811,x812)+E(f77(x811),f77(x812))
% 184.29/184.11 [82]~E(x821,x822)+E(f279(x821),f279(x822))
% 184.29/184.11 [83]~E(x831,x832)+E(f849(x831),f849(x832))
% 184.29/184.11 [84]~E(x841,x842)+E(f82(x841),f82(x842))
% 184.29/184.11 [85]~E(x851,x852)+E(f167(x851,x853),f167(x852,x853))
% 184.29/184.11 [86]~E(x861,x862)+E(f167(x863,x861),f167(x863,x862))
% 184.29/184.11 [87]~E(x871,x872)+E(f187(x871),f187(x872))
% 184.29/184.11 [88]~E(x881,x882)+E(f12(x881,x883),f12(x882,x883))
% 184.29/184.11 [89]~E(x891,x892)+E(f12(x893,x891),f12(x893,x892))
% 184.29/184.11 [90]~E(x901,x902)+E(f852(x901),f852(x902))
% 184.29/184.11 [91]~E(x911,x912)+E(f52(x911,x913,x914),f52(x912,x913,x914))
% 184.29/184.11 [92]~E(x921,x922)+E(f52(x923,x921,x924),f52(x923,x922,x924))
% 184.29/184.11 [93]~E(x931,x932)+E(f52(x933,x934,x931),f52(x933,x934,x932))
% 184.29/184.11 [94]~E(x941,x942)+E(f798(x941,x943,x944,x945),f798(x942,x943,x944,x945))
% 184.29/184.11 [95]~E(x951,x952)+E(f798(x953,x951,x954,x955),f798(x953,x952,x954,x955))
% 184.29/184.11 [96]~E(x961,x962)+E(f798(x963,x964,x961,x965),f798(x963,x964,x962,x965))
% 184.29/184.11 [97]~E(x971,x972)+E(f798(x973,x974,x975,x971),f798(x973,x974,x975,x972))
% 184.29/184.11 [98]~E(x981,x982)+E(f125(x981),f125(x982))
% 184.29/184.11 [99]~E(x991,x992)+E(f84(x991,x993),f84(x992,x993))
% 184.29/184.11 [100]~E(x1001,x1002)+E(f84(x1003,x1001),f84(x1003,x1002))
% 184.29/184.11 [101]~E(x1011,x1012)+E(f15(x1011,x1013),f15(x1012,x1013))
% 184.29/184.11 [102]~E(x1021,x1022)+E(f15(x1023,x1021),f15(x1023,x1022))
% 184.29/184.11 [103]~E(x1031,x1032)+E(f17(x1031,x1033),f17(x1032,x1033))
% 184.29/184.11 [104]~E(x1041,x1042)+E(f17(x1043,x1041),f17(x1043,x1042))
% 184.29/184.11 [105]~E(x1051,x1052)+E(f239(x1051),f239(x1052))
% 184.29/184.11 [106]~E(x1061,x1062)+E(f241(x1061,x1063),f241(x1062,x1063))
% 184.29/184.11 [107]~E(x1071,x1072)+E(f241(x1073,x1071),f241(x1073,x1072))
% 184.29/184.11 [108]~E(x1081,x1082)+E(f140(x1081),f140(x1082))
% 184.29/184.11 [109]~E(x1091,x1092)+E(f115(x1091),f115(x1092))
% 184.29/184.11 [110]~E(x1101,x1102)+E(f13(x1101,x1103,x1104),f13(x1102,x1103,x1104))
% 184.29/184.11 [111]~E(x1111,x1112)+E(f13(x1113,x1111,x1114),f13(x1113,x1112,x1114))
% 184.29/184.11 [112]~E(x1121,x1122)+E(f13(x1123,x1124,x1121),f13(x1123,x1124,x1122))
% 184.29/184.11 [113]~E(x1131,x1132)+E(f422(x1131,x1133,x1134,x1135),f422(x1132,x1133,x1134,x1135))
% 184.29/184.11 [114]~E(x1141,x1142)+E(f422(x1143,x1141,x1144,x1145),f422(x1143,x1142,x1144,x1145))
% 184.29/184.11 [115]~E(x1151,x1152)+E(f422(x1153,x1154,x1151,x1155),f422(x1153,x1154,x1152,x1155))
% 184.29/184.11 [116]~E(x1161,x1162)+E(f422(x1163,x1164,x1165,x1161),f422(x1163,x1164,x1165,x1162))
% 184.29/184.11 [117]~E(x1171,x1172)+E(f79(x1171,x1173,x1174,x1175),f79(x1172,x1173,x1174,x1175))
% 184.29/184.11 [118]~E(x1181,x1182)+E(f79(x1183,x1181,x1184,x1185),f79(x1183,x1182,x1184,x1185))
% 184.29/184.11 [119]~E(x1191,x1192)+E(f79(x1193,x1194,x1191,x1195),f79(x1193,x1194,x1192,x1195))
% 184.29/184.11 [120]~E(x1201,x1202)+E(f79(x1203,x1204,x1205,x1201),f79(x1203,x1204,x1205,x1202))
% 184.29/184.11 [121]~E(x1211,x1212)+E(f293(x1211),f293(x1212))
% 184.29/184.11 [122]~E(x1221,x1222)+E(f47(x1221,x1223),f47(x1222,x1223))
% 184.29/184.11 [123]~E(x1231,x1232)+E(f47(x1233,x1231),f47(x1233,x1232))
% 184.29/184.11 [124]~E(x1241,x1242)+E(f98(x1241),f98(x1242))
% 184.29/184.11 [125]~E(x1251,x1252)+E(f302(x1251),f302(x1252))
% 184.29/184.11 [126]~E(x1261,x1262)+E(f303(x1261,x1263,x1264),f303(x1262,x1263,x1264))
% 184.29/184.11 [127]~E(x1271,x1272)+E(f303(x1273,x1271,x1274),f303(x1273,x1272,x1274))
% 184.29/184.11 [128]~E(x1281,x1282)+E(f303(x1283,x1284,x1281),f303(x1283,x1284,x1282))
% 184.29/184.11 [129]~E(x1291,x1292)+E(f46(x1291,x1293),f46(x1292,x1293))
% 184.29/184.11 [130]~E(x1301,x1302)+E(f46(x1303,x1301),f46(x1303,x1302))
% 184.29/184.11 [131]~E(x1311,x1312)+E(f158(x1311),f158(x1312))
% 184.29/184.11 [132]~E(x1321,x1322)+E(f521(x1321,x1323,x1324),f521(x1322,x1323,x1324))
% 184.29/184.11 [133]~E(x1331,x1332)+E(f521(x1333,x1331,x1334),f521(x1333,x1332,x1334))
% 184.29/184.11 [134]~E(x1341,x1342)+E(f521(x1343,x1344,x1341),f521(x1343,x1344,x1342))
% 184.29/184.11 [135]~E(x1351,x1352)+E(f159(x1351),f159(x1352))
% 184.29/184.11 [136]~E(x1361,x1362)+E(f747(x1361),f747(x1362))
% 184.29/184.11 [137]~E(x1371,x1372)+E(f108(x1371),f108(x1372))
% 184.29/184.11 [138]~E(x1381,x1382)+E(f110(x1381),f110(x1382))
% 184.29/184.11 [139]~E(x1391,x1392)+E(f333(x1391),f333(x1392))
% 184.29/184.11 [140]~E(x1401,x1402)+E(f782(x1401,x1403,x1404),f782(x1402,x1403,x1404))
% 184.29/184.11 [141]~E(x1411,x1412)+E(f782(x1413,x1411,x1414),f782(x1413,x1412,x1414))
% 184.29/184.11 [142]~E(x1421,x1422)+E(f782(x1423,x1424,x1421),f782(x1423,x1424,x1422))
% 184.29/184.11 [143]~E(x1431,x1432)+E(f8(x1431,x1433),f8(x1432,x1433))
% 184.29/184.11 [144]~E(x1441,x1442)+E(f8(x1443,x1441),f8(x1443,x1442))
% 184.29/184.11 [145]~E(x1451,x1452)+E(f238(x1451,x1453),f238(x1452,x1453))
% 184.29/184.11 [146]~E(x1461,x1462)+E(f238(x1463,x1461),f238(x1463,x1462))
% 184.29/184.11 [147]~E(x1471,x1472)+E(f126(x1471,x1473),f126(x1472,x1473))
% 184.29/184.11 [148]~E(x1481,x1482)+E(f126(x1483,x1481),f126(x1483,x1482))
% 184.29/184.11 [149]~E(x1491,x1492)+E(f183(x1491),f183(x1492))
% 184.29/184.11 [150]~E(x1501,x1502)+E(f281(x1501,x1503,x1504),f281(x1502,x1503,x1504))
% 184.29/184.11 [151]~E(x1511,x1512)+E(f281(x1513,x1511,x1514),f281(x1513,x1512,x1514))
% 184.29/184.11 [152]~E(x1521,x1522)+E(f281(x1523,x1524,x1521),f281(x1523,x1524,x1522))
% 184.29/184.11 [153]~E(x1531,x1532)+E(f795(x1531,x1533,x1534),f795(x1532,x1533,x1534))
% 184.29/184.11 [154]~E(x1541,x1542)+E(f795(x1543,x1541,x1544),f795(x1543,x1542,x1544))
% 184.29/184.11 [155]~E(x1551,x1552)+E(f795(x1553,x1554,x1551),f795(x1553,x1554,x1552))
% 184.29/184.11 [156]~E(x1561,x1562)+E(f68(x1561,x1563,x1564,x1565,x1566),f68(x1562,x1563,x1564,x1565,x1566))
% 184.29/184.11 [157]~E(x1571,x1572)+E(f68(x1573,x1571,x1574,x1575,x1576),f68(x1573,x1572,x1574,x1575,x1576))
% 184.29/184.11 [158]~E(x1581,x1582)+E(f68(x1583,x1584,x1581,x1585,x1586),f68(x1583,x1584,x1582,x1585,x1586))
% 184.29/184.11 [159]~E(x1591,x1592)+E(f68(x1593,x1594,x1595,x1591,x1596),f68(x1593,x1594,x1595,x1592,x1596))
% 184.29/184.11 [160]~E(x1601,x1602)+E(f68(x1603,x1604,x1605,x1606,x1601),f68(x1603,x1604,x1605,x1606,x1602))
% 184.29/184.11 [161]~E(x1611,x1612)+E(f7(x1611),f7(x1612))
% 184.29/184.11 [162]~E(x1621,x1622)+E(f65(x1621,x1623),f65(x1622,x1623))
% 184.29/184.11 [163]~E(x1631,x1632)+E(f65(x1633,x1631),f65(x1633,x1632))
% 184.29/184.11 [164]~E(x1641,x1642)+E(f18(x1641,x1643),f18(x1642,x1643))
% 184.29/184.11 [165]~E(x1651,x1652)+E(f18(x1653,x1651),f18(x1653,x1652))
% 184.29/184.11 [166]~E(x1661,x1662)+E(f143(x1661,x1663),f143(x1662,x1663))
% 184.29/184.11 [167]~E(x1671,x1672)+E(f143(x1673,x1671),f143(x1673,x1672))
% 184.29/184.11 [168]~E(x1681,x1682)+E(f250(x1681,x1683),f250(x1682,x1683))
% 184.29/184.11 [169]~E(x1691,x1692)+E(f250(x1693,x1691),f250(x1693,x1692))
% 184.29/184.11 [170]~E(x1701,x1702)+E(f305(x1701,x1703,x1704),f305(x1702,x1703,x1704))
% 184.29/184.11 [171]~E(x1711,x1712)+E(f305(x1713,x1711,x1714),f305(x1713,x1712,x1714))
% 184.29/184.11 [172]~E(x1721,x1722)+E(f305(x1723,x1724,x1721),f305(x1723,x1724,x1722))
% 184.29/184.11 [173]~E(x1731,x1732)+E(f56(x1731,x1733),f56(x1732,x1733))
% 184.29/184.11 [174]~E(x1741,x1742)+E(f56(x1743,x1741),f56(x1743,x1742))
% 184.29/184.11 [175]~E(x1751,x1752)+E(f277(x1751,x1753,x1754),f277(x1752,x1753,x1754))
% 184.29/184.11 [176]~E(x1761,x1762)+E(f277(x1763,x1761,x1764),f277(x1763,x1762,x1764))
% 184.29/184.11 [177]~E(x1771,x1772)+E(f277(x1773,x1774,x1771),f277(x1773,x1774,x1772))
% 184.29/184.11 [178]~E(x1781,x1782)+E(f94(x1781,x1783,x1784),f94(x1782,x1783,x1784))
% 184.29/184.11 [179]~E(x1791,x1792)+E(f94(x1793,x1791,x1794),f94(x1793,x1792,x1794))
% 184.29/184.11 [180]~E(x1801,x1802)+E(f94(x1803,x1804,x1801),f94(x1803,x1804,x1802))
% 184.29/184.11 [181]~E(x1811,x1812)+E(f283(x1811),f283(x1812))
% 184.29/184.11 [182]~E(x1821,x1822)+E(f66(x1821,x1823,x1824),f66(x1822,x1823,x1824))
% 184.29/184.11 [183]~E(x1831,x1832)+E(f66(x1833,x1831,x1834),f66(x1833,x1832,x1834))
% 184.29/184.11 [184]~E(x1841,x1842)+E(f66(x1843,x1844,x1841),f66(x1843,x1844,x1842))
% 184.29/184.11 [185]~E(x1851,x1852)+E(f307(x1851,x1853,x1854),f307(x1852,x1853,x1854))
% 184.29/184.11 [186]~E(x1861,x1862)+E(f307(x1863,x1861,x1864),f307(x1863,x1862,x1864))
% 184.29/184.11 [187]~E(x1871,x1872)+E(f307(x1873,x1874,x1871),f307(x1873,x1874,x1872))
% 184.29/184.11 [188]~E(x1881,x1882)+E(f858(x1881,x1883),f858(x1882,x1883))
% 184.29/184.11 [189]~E(x1891,x1892)+E(f858(x1893,x1891),f858(x1893,x1892))
% 184.29/184.11 [190]~E(x1901,x1902)+E(f112(x1901),f112(x1902))
% 184.29/184.11 [191]~E(x1911,x1912)+E(f278(x1911,x1913),f278(x1912,x1913))
% 184.29/184.11 [192]~E(x1921,x1922)+E(f278(x1923,x1921),f278(x1923,x1922))
% 184.29/184.11 [193]~E(x1931,x1932)+E(f169(x1931,x1933,x1934),f169(x1932,x1933,x1934))
% 184.29/184.11 [194]~E(x1941,x1942)+E(f169(x1943,x1941,x1944),f169(x1943,x1942,x1944))
% 184.29/184.11 [195]~E(x1951,x1952)+E(f169(x1953,x1954,x1951),f169(x1953,x1954,x1952))
% 184.29/184.11 [196]~E(x1961,x1962)+E(f75(x1961,x1963,x1964,x1965),f75(x1962,x1963,x1964,x1965))
% 184.29/184.11 [197]~E(x1971,x1972)+E(f75(x1973,x1971,x1974,x1975),f75(x1973,x1972,x1974,x1975))
% 184.29/184.11 [198]~E(x1981,x1982)+E(f75(x1983,x1984,x1981,x1985),f75(x1983,x1984,x1982,x1985))
% 184.29/184.11 [199]~E(x1991,x1992)+E(f75(x1993,x1994,x1995,x1991),f75(x1993,x1994,x1995,x1992))
% 184.29/184.11 [200]~E(x2001,x2002)+E(f558(x2001),f558(x2002))
% 184.29/184.11 [201]~E(x2011,x2012)+E(f147(x2011,x2013),f147(x2012,x2013))
% 184.29/184.11 [202]~E(x2021,x2022)+E(f147(x2023,x2021),f147(x2023,x2022))
% 184.29/184.11 [203]~E(x2031,x2032)+E(f240(x2031,x2033),f240(x2032,x2033))
% 184.29/184.11 [204]~E(x2041,x2042)+E(f240(x2043,x2041),f240(x2043,x2042))
% 184.29/184.11 [205]~E(x2051,x2052)+E(f153(x2051),f153(x2052))
% 184.29/184.11 [206]~E(x2061,x2062)+E(f130(x2061,x2063),f130(x2062,x2063))
% 184.29/184.11 [207]~E(x2071,x2072)+E(f130(x2073,x2071),f130(x2073,x2072))
% 184.29/184.11 [208]~E(x2081,x2082)+E(f808(x2081,x2083,x2084),f808(x2082,x2083,x2084))
% 184.29/184.11 [209]~E(x2091,x2092)+E(f808(x2093,x2091,x2094),f808(x2093,x2092,x2094))
% 184.29/184.11 [210]~E(x2101,x2102)+E(f808(x2103,x2104,x2101),f808(x2103,x2104,x2102))
% 184.29/184.11 [211]~E(x2111,x2112)+E(f415(x2111,x2113,x2114),f415(x2112,x2113,x2114))
% 184.29/184.11 [212]~E(x2121,x2122)+E(f415(x2123,x2121,x2124),f415(x2123,x2122,x2124))
% 184.29/184.11 [213]~E(x2131,x2132)+E(f415(x2133,x2134,x2131),f415(x2133,x2134,x2132))
% 184.29/184.11 [214]~E(x2141,x2142)+E(f242(x2141),f242(x2142))
% 184.29/184.11 [215]~E(x2151,x2152)+E(f128(x2151),f128(x2152))
% 184.29/184.11 [216]~E(x2161,x2162)+E(f132(x2161,x2163,x2164,x2165),f132(x2162,x2163,x2164,x2165))
% 184.29/184.11 [217]~E(x2171,x2172)+E(f132(x2173,x2171,x2174,x2175),f132(x2173,x2172,x2174,x2175))
% 184.29/184.11 [218]~E(x2181,x2182)+E(f132(x2183,x2184,x2181,x2185),f132(x2183,x2184,x2182,x2185))
% 184.29/184.11 [219]~E(x2191,x2192)+E(f132(x2193,x2194,x2195,x2191),f132(x2193,x2194,x2195,x2192))
% 184.29/184.11 [220]~E(x2201,x2202)+E(f686(x2201,x2203,x2204),f686(x2202,x2203,x2204))
% 184.29/184.11 [221]~E(x2211,x2212)+E(f686(x2213,x2211,x2214),f686(x2213,x2212,x2214))
% 184.29/184.11 [222]~E(x2221,x2222)+E(f686(x2223,x2224,x2221),f686(x2223,x2224,x2222))
% 184.29/184.11 [223]~E(x2231,x2232)+E(f146(x2231,x2233),f146(x2232,x2233))
% 184.29/184.11 [224]~E(x2241,x2242)+E(f146(x2243,x2241),f146(x2243,x2242))
% 184.29/184.11 [225]~E(x2251,x2252)+E(f294(x2251,x2253),f294(x2252,x2253))
% 184.29/184.11 [226]~E(x2261,x2262)+E(f294(x2263,x2261),f294(x2263,x2262))
% 184.29/184.11 [227]~E(x2271,x2272)+E(f32(x2271,x2273,x2274),f32(x2272,x2273,x2274))
% 184.29/184.11 [228]~E(x2281,x2282)+E(f32(x2283,x2281,x2284),f32(x2283,x2282,x2284))
% 184.29/184.11 [229]~E(x2291,x2292)+E(f32(x2293,x2294,x2291),f32(x2293,x2294,x2292))
% 184.29/184.11 [230]~E(x2301,x2302)+E(f163(x2301,x2303),f163(x2302,x2303))
% 184.29/184.11 [231]~E(x2311,x2312)+E(f163(x2313,x2311),f163(x2313,x2312))
% 184.29/184.11 [232]~E(x2321,x2322)+E(f651(x2321,x2323,x2324,x2325),f651(x2322,x2323,x2324,x2325))
% 184.29/184.11 [233]~E(x2331,x2332)+E(f651(x2333,x2331,x2334,x2335),f651(x2333,x2332,x2334,x2335))
% 184.29/184.11 [234]~E(x2341,x2342)+E(f651(x2343,x2344,x2341,x2345),f651(x2343,x2344,x2342,x2345))
% 184.29/184.11 [235]~E(x2351,x2352)+E(f651(x2353,x2354,x2355,x2351),f651(x2353,x2354,x2355,x2352))
% 184.29/184.11 [236]~E(x2361,x2362)+E(f88(x2361,x2363),f88(x2362,x2363))
% 184.29/184.11 [237]~E(x2371,x2372)+E(f88(x2373,x2371),f88(x2373,x2372))
% 184.29/184.11 [238]~E(x2381,x2382)+E(f324(x2381,x2383),f324(x2382,x2383))
% 184.29/184.11 [239]~E(x2391,x2392)+E(f324(x2393,x2391),f324(x2393,x2392))
% 184.29/184.11 [240]~E(x2401,x2402)+E(f45(x2401,x2403),f45(x2402,x2403))
% 184.29/184.11 [241]~E(x2411,x2412)+E(f45(x2413,x2411),f45(x2413,x2412))
% 184.29/184.11 [242]~E(x2421,x2422)+E(f319(x2421,x2423,x2424,x2425,x2426),f319(x2422,x2423,x2424,x2425,x2426))
% 184.29/184.11 [243]~E(x2431,x2432)+E(f319(x2433,x2431,x2434,x2435,x2436),f319(x2433,x2432,x2434,x2435,x2436))
% 184.29/184.11 [244]~E(x2441,x2442)+E(f319(x2443,x2444,x2441,x2445,x2446),f319(x2443,x2444,x2442,x2445,x2446))
% 184.29/184.11 [245]~E(x2451,x2452)+E(f319(x2453,x2454,x2455,x2451,x2456),f319(x2453,x2454,x2455,x2452,x2456))
% 184.29/184.11 [246]~E(x2461,x2462)+E(f319(x2463,x2464,x2465,x2466,x2461),f319(x2463,x2464,x2465,x2466,x2462))
% 184.29/184.11 [247]~E(x2471,x2472)+E(f116(x2471,x2473),f116(x2472,x2473))
% 184.29/184.11 [248]~E(x2481,x2482)+E(f116(x2483,x2481),f116(x2483,x2482))
% 184.29/184.11 [249]~E(x2491,x2492)+E(f142(x2491),f142(x2492))
% 184.29/184.11 [250]~E(x2501,x2502)+E(f184(x2501),f184(x2502))
% 184.29/184.11 [251]~E(x2511,x2512)+E(f785(x2511,x2513,x2514),f785(x2512,x2513,x2514))
% 184.29/184.11 [252]~E(x2521,x2522)+E(f785(x2523,x2521,x2524),f785(x2523,x2522,x2524))
% 184.29/184.11 [253]~E(x2531,x2532)+E(f785(x2533,x2534,x2531),f785(x2533,x2534,x2532))
% 184.29/184.11 [254]~E(x2541,x2542)+E(f117(x2541),f117(x2542))
% 184.29/184.11 [255]~E(x2551,x2552)+E(f31(x2551,x2553,x2554),f31(x2552,x2553,x2554))
% 184.29/184.11 [256]~E(x2561,x2562)+E(f31(x2563,x2561,x2564),f31(x2563,x2562,x2564))
% 184.29/184.11 [257]~E(x2571,x2572)+E(f31(x2573,x2574,x2571),f31(x2573,x2574,x2572))
% 184.29/184.11 [258]~E(x2581,x2582)+E(f291(x2581,x2583,x2584,x2585),f291(x2582,x2583,x2584,x2585))
% 184.29/184.11 [259]~E(x2591,x2592)+E(f291(x2593,x2591,x2594,x2595),f291(x2593,x2592,x2594,x2595))
% 184.29/184.11 [260]~E(x2601,x2602)+E(f291(x2603,x2604,x2601,x2605),f291(x2603,x2604,x2602,x2605))
% 184.29/184.11 [261]~E(x2611,x2612)+E(f291(x2613,x2614,x2615,x2611),f291(x2613,x2614,x2615,x2612))
% 184.29/184.11 [262]~E(x2621,x2622)+E(f854(x2621),f854(x2622))
% 184.29/184.11 [263]~E(x2631,x2632)+E(f248(x2631,x2633),f248(x2632,x2633))
% 184.29/184.11 [264]~E(x2641,x2642)+E(f248(x2643,x2641),f248(x2643,x2642))
% 184.29/184.11 [265]~E(x2651,x2652)+E(f649(x2651,x2653,x2654,x2655),f649(x2652,x2653,x2654,x2655))
% 184.29/184.11 [266]~E(x2661,x2662)+E(f649(x2663,x2661,x2664,x2665),f649(x2663,x2662,x2664,x2665))
% 184.29/184.11 [267]~E(x2671,x2672)+E(f649(x2673,x2674,x2671,x2675),f649(x2673,x2674,x2672,x2675))
% 184.29/184.11 [268]~E(x2681,x2682)+E(f649(x2683,x2684,x2685,x2681),f649(x2683,x2684,x2685,x2682))
% 184.29/184.11 [269]~E(x2691,x2692)+E(f141(x2691),f141(x2692))
% 184.29/184.11 [270]~E(x2701,x2702)+E(f600(x2701),f600(x2702))
% 184.29/184.11 [271]~E(x2711,x2712)+E(f44(x2711,x2713),f44(x2712,x2713))
% 184.29/184.11 [272]~E(x2721,x2722)+E(f44(x2723,x2721),f44(x2723,x2722))
% 184.29/184.11 [273]~E(x2731,x2732)+E(f162(x2731,x2733,x2734),f162(x2732,x2733,x2734))
% 184.29/184.11 [274]~E(x2741,x2742)+E(f162(x2743,x2741,x2744),f162(x2743,x2742,x2744))
% 184.29/184.11 [275]~E(x2751,x2752)+E(f162(x2753,x2754,x2751),f162(x2753,x2754,x2752))
% 184.29/184.11 [276]~E(x2761,x2762)+E(f157(x2761),f157(x2762))
% 184.29/184.11 [277]~E(x2771,x2772)+E(f617(x2771),f617(x2772))
% 184.29/184.11 [278]~E(x2781,x2782)+E(f258(x2781),f258(x2782))
% 184.29/184.11 [279]~E(x2791,x2792)+E(f296(x2791),f296(x2792))
% 184.29/184.11 [280]~E(x2801,x2802)+E(f300(x2801,x2803),f300(x2802,x2803))
% 184.29/184.11 [281]~E(x2811,x2812)+E(f300(x2813,x2811),f300(x2813,x2812))
% 184.29/184.11 [282]~E(x2821,x2822)+E(f227(x2821),f227(x2822))
% 184.29/184.11 [283]~E(x2831,x2832)+E(f210(x2831,x2833),f210(x2832,x2833))
% 184.29/184.11 [284]~E(x2841,x2842)+E(f210(x2843,x2841),f210(x2843,x2842))
% 184.29/184.11 [285]~E(x2851,x2852)+E(f261(x2851,x2853),f261(x2852,x2853))
% 184.29/184.11 [286]~E(x2861,x2862)+E(f261(x2863,x2861),f261(x2863,x2862))
% 184.29/184.11 [287]~E(x2871,x2872)+E(f14(x2871,x2873,x2874),f14(x2872,x2873,x2874))
% 184.29/184.11 [288]~E(x2881,x2882)+E(f14(x2883,x2881,x2884),f14(x2883,x2882,x2884))
% 184.29/184.11 [289]~E(x2891,x2892)+E(f14(x2893,x2894,x2891),f14(x2893,x2894,x2892))
% 184.29/184.11 [290]~E(x2901,x2902)+E(f620(x2901,x2903,x2904,x2905,x2906,x2907),f620(x2902,x2903,x2904,x2905,x2906,x2907))
% 184.29/184.11 [291]~E(x2911,x2912)+E(f620(x2913,x2911,x2914,x2915,x2916,x2917),f620(x2913,x2912,x2914,x2915,x2916,x2917))
% 184.29/184.11 [292]~E(x2921,x2922)+E(f620(x2923,x2924,x2921,x2925,x2926,x2927),f620(x2923,x2924,x2922,x2925,x2926,x2927))
% 184.29/184.11 [293]~E(x2931,x2932)+E(f620(x2933,x2934,x2935,x2931,x2936,x2937),f620(x2933,x2934,x2935,x2932,x2936,x2937))
% 184.29/184.11 [294]~E(x2941,x2942)+E(f620(x2943,x2944,x2945,x2946,x2941,x2947),f620(x2943,x2944,x2945,x2946,x2942,x2947))
% 184.29/184.11 [295]~E(x2951,x2952)+E(f620(x2953,x2954,x2955,x2956,x2957,x2951),f620(x2953,x2954,x2955,x2956,x2957,x2952))
% 184.29/184.11 [296]~E(x2961,x2962)+E(f131(x2961),f131(x2962))
% 184.29/184.11 [297]~E(x2971,x2972)+E(f731(x2971,x2973,x2974,x2975,x2976),f731(x2972,x2973,x2974,x2975,x2976))
% 184.29/184.11 [298]~E(x2981,x2982)+E(f731(x2983,x2981,x2984,x2985,x2986),f731(x2983,x2982,x2984,x2985,x2986))
% 184.29/184.11 [299]~E(x2991,x2992)+E(f731(x2993,x2994,x2991,x2995,x2996),f731(x2993,x2994,x2992,x2995,x2996))
% 184.29/184.11 [300]~E(x3001,x3002)+E(f731(x3003,x3004,x3005,x3001,x3006),f731(x3003,x3004,x3005,x3002,x3006))
% 184.29/184.11 [301]~E(x3011,x3012)+E(f731(x3013,x3014,x3015,x3016,x3011),f731(x3013,x3014,x3015,x3016,x3012))
% 184.29/184.11 [302]~E(x3021,x3022)+E(f28(x3021,x3023),f28(x3022,x3023))
% 184.29/184.11 [303]~E(x3031,x3032)+E(f28(x3033,x3031),f28(x3033,x3032))
% 184.29/184.11 [304]~E(x3041,x3042)+E(f33(x3041,x3043,x3044),f33(x3042,x3043,x3044))
% 184.29/184.11 [305]~E(x3051,x3052)+E(f33(x3053,x3051,x3054),f33(x3053,x3052,x3054))
% 184.29/184.11 [306]~E(x3061,x3062)+E(f33(x3063,x3064,x3061),f33(x3063,x3064,x3062))
% 184.29/184.11 [307]~E(x3071,x3072)+E(f314(x3071,x3073,x3074,x3075),f314(x3072,x3073,x3074,x3075))
% 184.29/184.11 [308]~E(x3081,x3082)+E(f314(x3083,x3081,x3084,x3085),f314(x3083,x3082,x3084,x3085))
% 184.29/184.11 [309]~E(x3091,x3092)+E(f314(x3093,x3094,x3091,x3095),f314(x3093,x3094,x3092,x3095))
% 184.29/184.11 [310]~E(x3101,x3102)+E(f314(x3103,x3104,x3105,x3101),f314(x3103,x3104,x3105,x3102))
% 184.29/184.11 [311]~E(x3111,x3112)+E(f252(x3111,x3113,x3114,x3115,x3116,x3117),f252(x3112,x3113,x3114,x3115,x3116,x3117))
% 184.29/184.11 [312]~E(x3121,x3122)+E(f252(x3123,x3121,x3124,x3125,x3126,x3127),f252(x3123,x3122,x3124,x3125,x3126,x3127))
% 184.29/184.11 [313]~E(x3131,x3132)+E(f252(x3133,x3134,x3131,x3135,x3136,x3137),f252(x3133,x3134,x3132,x3135,x3136,x3137))
% 184.29/184.11 [314]~E(x3141,x3142)+E(f252(x3143,x3144,x3145,x3141,x3146,x3147),f252(x3143,x3144,x3145,x3142,x3146,x3147))
% 184.29/184.11 [315]~E(x3151,x3152)+E(f252(x3153,x3154,x3155,x3156,x3151,x3157),f252(x3153,x3154,x3155,x3156,x3152,x3157))
% 184.29/184.11 [316]~E(x3161,x3162)+E(f252(x3163,x3164,x3165,x3166,x3167,x3161),f252(x3163,x3164,x3165,x3166,x3167,x3162))
% 184.29/184.11 [317]~E(x3171,x3172)+E(f11(x3171,x3173),f11(x3172,x3173))
% 184.29/184.11 [318]~E(x3181,x3182)+E(f11(x3183,x3181),f11(x3183,x3182))
% 184.29/184.11 [319]~E(x3191,x3192)+E(f814(x3191,x3193,x3194),f814(x3192,x3193,x3194))
% 184.29/184.11 [320]~E(x3201,x3202)+E(f814(x3203,x3201,x3204),f814(x3203,x3202,x3204))
% 184.29/184.11 [321]~E(x3211,x3212)+E(f814(x3213,x3214,x3211),f814(x3213,x3214,x3212))
% 184.29/184.11 [322]~E(x3221,x3222)+E(f326(x3221,x3223),f326(x3222,x3223))
% 184.29/184.11 [323]~E(x3231,x3232)+E(f326(x3233,x3231),f326(x3233,x3232))
% 184.29/184.11 [324]~E(x3241,x3242)+E(f585(x3241,x3243,x3244,x3245),f585(x3242,x3243,x3244,x3245))
% 184.29/184.11 [325]~E(x3251,x3252)+E(f585(x3253,x3251,x3254,x3255),f585(x3253,x3252,x3254,x3255))
% 184.29/184.11 [326]~E(x3261,x3262)+E(f585(x3263,x3264,x3261,x3265),f585(x3263,x3264,x3262,x3265))
% 184.29/184.11 [327]~E(x3271,x3272)+E(f585(x3273,x3274,x3275,x3271),f585(x3273,x3274,x3275,x3272))
% 184.29/184.11 [328]~E(x3281,x3282)+E(f752(x3281,x3283,x3284,x3285,x3286),f752(x3282,x3283,x3284,x3285,x3286))
% 184.29/184.11 [329]~E(x3291,x3292)+E(f752(x3293,x3291,x3294,x3295,x3296),f752(x3293,x3292,x3294,x3295,x3296))
% 184.29/184.11 [330]~E(x3301,x3302)+E(f752(x3303,x3304,x3301,x3305,x3306),f752(x3303,x3304,x3302,x3305,x3306))
% 184.29/184.11 [331]~E(x3311,x3312)+E(f752(x3313,x3314,x3315,x3311,x3316),f752(x3313,x3314,x3315,x3312,x3316))
% 184.29/184.11 [332]~E(x3321,x3322)+E(f752(x3323,x3324,x3325,x3326,x3321),f752(x3323,x3324,x3325,x3326,x3322))
% 184.29/184.11 [333]~E(x3331,x3332)+E(f16(x3331,x3333),f16(x3332,x3333))
% 184.29/184.11 [334]~E(x3341,x3342)+E(f16(x3343,x3341),f16(x3343,x3342))
% 184.29/184.11 [335]~E(x3351,x3352)+E(f804(x3351,x3353,x3354),f804(x3352,x3353,x3354))
% 184.29/184.11 [336]~E(x3361,x3362)+E(f804(x3363,x3361,x3364),f804(x3363,x3362,x3364))
% 184.29/184.11 [337]~E(x3371,x3372)+E(f804(x3373,x3374,x3371),f804(x3373,x3374,x3372))
% 184.29/184.11 [338]~E(x3381,x3382)+E(f139(x3381,x3383,x3384,x3385,x3386),f139(x3382,x3383,x3384,x3385,x3386))
% 184.29/184.11 [339]~E(x3391,x3392)+E(f139(x3393,x3391,x3394,x3395,x3396),f139(x3393,x3392,x3394,x3395,x3396))
% 184.29/184.11 [340]~E(x3401,x3402)+E(f139(x3403,x3404,x3401,x3405,x3406),f139(x3403,x3404,x3402,x3405,x3406))
% 184.29/184.11 [341]~E(x3411,x3412)+E(f139(x3413,x3414,x3415,x3411,x3416),f139(x3413,x3414,x3415,x3412,x3416))
% 184.29/184.11 [342]~E(x3421,x3422)+E(f139(x3423,x3424,x3425,x3426,x3421),f139(x3423,x3424,x3425,x3426,x3422))
% 184.29/184.11 [343]~E(x3431,x3432)+E(f251(x3431,x3433,x3434),f251(x3432,x3433,x3434))
% 184.29/184.11 [344]~E(x3441,x3442)+E(f251(x3443,x3441,x3444),f251(x3443,x3442,x3444))
% 184.29/184.11 [345]~E(x3451,x3452)+E(f251(x3453,x3454,x3451),f251(x3453,x3454,x3452))
% 184.29/184.11 [346]~E(x3461,x3462)+E(f173(x3461,x3463),f173(x3462,x3463))
% 184.29/184.11 [347]~E(x3471,x3472)+E(f173(x3473,x3471),f173(x3473,x3472))
% 184.29/184.11 [348]~E(x3481,x3482)+E(f770(x3481,x3483,x3484),f770(x3482,x3483,x3484))
% 184.29/184.11 [349]~E(x3491,x3492)+E(f770(x3493,x3491,x3494),f770(x3493,x3492,x3494))
% 184.29/184.11 [350]~E(x3501,x3502)+E(f770(x3503,x3504,x3501),f770(x3503,x3504,x3502))
% 184.29/184.11 [351]~E(x3511,x3512)+E(f67(x3511,x3513,x3514),f67(x3512,x3513,x3514))
% 184.29/184.11 [352]~E(x3521,x3522)+E(f67(x3523,x3521,x3524),f67(x3523,x3522,x3524))
% 184.29/184.11 [353]~E(x3531,x3532)+E(f67(x3533,x3534,x3531),f67(x3533,x3534,x3532))
% 184.29/184.11 [354]~E(x3541,x3542)+E(f557(x3541),f557(x3542))
% 184.29/184.11 [355]~E(x3551,x3552)+E(f127(x3551),f127(x3552))
% 184.29/184.11 [356]~E(x3561,x3562)+E(f486(x3561,x3563,x3564,x3565),f486(x3562,x3563,x3564,x3565))
% 184.29/184.11 [357]~E(x3571,x3572)+E(f486(x3573,x3571,x3574,x3575),f486(x3573,x3572,x3574,x3575))
% 184.29/184.11 [358]~E(x3581,x3582)+E(f486(x3583,x3584,x3581,x3585),f486(x3583,x3584,x3582,x3585))
% 184.29/184.11 [359]~E(x3591,x3592)+E(f486(x3593,x3594,x3595,x3591),f486(x3593,x3594,x3595,x3592))
% 184.29/184.11 [360]~E(x3601,x3602)+E(f134(x3601,x3603),f134(x3602,x3603))
% 184.29/184.11 [361]~E(x3611,x3612)+E(f134(x3613,x3611),f134(x3613,x3612))
% 184.29/184.11 [362]~E(x3621,x3622)+E(f364(x3621,x3623,x3624,x3625,x3626),f364(x3622,x3623,x3624,x3625,x3626))
% 184.29/184.11 [363]~E(x3631,x3632)+E(f364(x3633,x3631,x3634,x3635,x3636),f364(x3633,x3632,x3634,x3635,x3636))
% 184.29/184.11 [364]~E(x3641,x3642)+E(f364(x3643,x3644,x3641,x3645,x3646),f364(x3643,x3644,x3642,x3645,x3646))
% 184.29/184.11 [365]~E(x3651,x3652)+E(f364(x3653,x3654,x3655,x3651,x3656),f364(x3653,x3654,x3655,x3652,x3656))
% 184.29/184.11 [366]~E(x3661,x3662)+E(f364(x3663,x3664,x3665,x3666,x3661),f364(x3663,x3664,x3665,x3666,x3662))
% 184.29/184.11 [367]~E(x3671,x3672)+E(f78(x3671,x3673,x3674,x3675,x3676),f78(x3672,x3673,x3674,x3675,x3676))
% 184.29/184.11 [368]~E(x3681,x3682)+E(f78(x3683,x3681,x3684,x3685,x3686),f78(x3683,x3682,x3684,x3685,x3686))
% 184.29/184.11 [369]~E(x3691,x3692)+E(f78(x3693,x3694,x3691,x3695,x3696),f78(x3693,x3694,x3692,x3695,x3696))
% 184.29/184.11 [370]~E(x3701,x3702)+E(f78(x3703,x3704,x3705,x3701,x3706),f78(x3703,x3704,x3705,x3702,x3706))
% 184.29/184.11 [371]~E(x3711,x3712)+E(f78(x3713,x3714,x3715,x3716,x3711),f78(x3713,x3714,x3715,x3716,x3712))
% 184.29/184.11 [372]~E(x3721,x3722)+E(f35(x3721,x3723),f35(x3722,x3723))
% 184.29/184.11 [373]~E(x3731,x3732)+E(f35(x3733,x3731),f35(x3733,x3732))
% 184.29/184.11 [374]~E(x3741,x3742)+E(f87(x3741,x3743),f87(x3742,x3743))
% 184.29/184.11 [375]~E(x3751,x3752)+E(f87(x3753,x3751),f87(x3753,x3752))
% 184.29/184.11 [376]~E(x3761,x3762)+E(f516(x3761,x3763),f516(x3762,x3763))
% 184.29/184.11 [377]~E(x3771,x3772)+E(f516(x3773,x3771),f516(x3773,x3772))
% 184.29/184.11 [378]~E(x3781,x3782)+E(f92(x3781,x3783),f92(x3782,x3783))
% 184.29/184.11 [379]~E(x3791,x3792)+E(f92(x3793,x3791),f92(x3793,x3792))
% 184.29/184.11 [380]~E(x3801,x3802)+E(f289(x3801,x3803,x3804,x3805,x3806),f289(x3802,x3803,x3804,x3805,x3806))
% 184.29/184.11 [381]~E(x3811,x3812)+E(f289(x3813,x3811,x3814,x3815,x3816),f289(x3813,x3812,x3814,x3815,x3816))
% 184.29/184.11 [382]~E(x3821,x3822)+E(f289(x3823,x3824,x3821,x3825,x3826),f289(x3823,x3824,x3822,x3825,x3826))
% 184.29/184.11 [383]~E(x3831,x3832)+E(f289(x3833,x3834,x3835,x3831,x3836),f289(x3833,x3834,x3835,x3832,x3836))
% 184.29/184.11 [384]~E(x3841,x3842)+E(f289(x3843,x3844,x3845,x3846,x3841),f289(x3843,x3844,x3845,x3846,x3842))
% 184.29/184.11 [385]~E(x3851,x3852)+E(f151(x3851,x3853,x3854),f151(x3852,x3853,x3854))
% 184.29/184.11 [386]~E(x3861,x3862)+E(f151(x3863,x3861,x3864),f151(x3863,x3862,x3864))
% 184.29/184.11 [387]~E(x3871,x3872)+E(f151(x3873,x3874,x3871),f151(x3873,x3874,x3872))
% 184.29/184.11 [388]~E(x3881,x3882)+E(f778(x3881),f778(x3882))
% 184.29/184.11 [389]~E(x3891,x3892)+E(f295(x3891,x3893,x3894),f295(x3892,x3893,x3894))
% 184.29/184.11 [390]~E(x3901,x3902)+E(f295(x3903,x3901,x3904),f295(x3903,x3902,x3904))
% 184.29/184.11 [391]~E(x3911,x3912)+E(f295(x3913,x3914,x3911),f295(x3913,x3914,x3912))
% 184.29/184.11 [392]~E(x3921,x3922)+E(f399(x3921,x3923,x3924,x3925),f399(x3922,x3923,x3924,x3925))
% 184.29/184.11 [393]~E(x3931,x3932)+E(f399(x3933,x3931,x3934,x3935),f399(x3933,x3932,x3934,x3935))
% 184.29/184.11 [394]~E(x3941,x3942)+E(f399(x3943,x3944,x3941,x3945),f399(x3943,x3944,x3942,x3945))
% 184.29/184.11 [395]~E(x3951,x3952)+E(f399(x3953,x3954,x3955,x3951),f399(x3953,x3954,x3955,x3952))
% 184.29/184.11 [396]~E(x3961,x3962)+E(f149(x3961,x3963),f149(x3962,x3963))
% 184.29/184.11 [397]~E(x3971,x3972)+E(f149(x3973,x3971),f149(x3973,x3972))
% 184.29/184.11 [398]~E(x3981,x3982)+E(f780(x3981,x3983,x3984),f780(x3982,x3983,x3984))
% 184.29/184.11 [399]~E(x3991,x3992)+E(f780(x3993,x3991,x3994),f780(x3993,x3992,x3994))
% 184.29/184.11 [400]~E(x4001,x4002)+E(f780(x4003,x4004,x4001),f780(x4003,x4004,x4002))
% 184.29/184.11 [401]~E(x4011,x4012)+E(f466(x4011,x4013,x4014),f466(x4012,x4013,x4014))
% 184.29/184.11 [402]~E(x4021,x4022)+E(f466(x4023,x4021,x4024),f466(x4023,x4022,x4024))
% 184.29/184.11 [403]~E(x4031,x4032)+E(f466(x4033,x4034,x4031),f466(x4033,x4034,x4032))
% 184.29/184.11 [404]~E(x4041,x4042)+E(f166(x4041,x4043,x4044),f166(x4042,x4043,x4044))
% 184.29/184.11 [405]~E(x4051,x4052)+E(f166(x4053,x4051,x4054),f166(x4053,x4052,x4054))
% 184.29/184.11 [406]~E(x4061,x4062)+E(f166(x4063,x4064,x4061),f166(x4063,x4064,x4062))
% 184.29/184.11 [407]~E(x4071,x4072)+E(f297(x4071,x4073,x4074),f297(x4072,x4073,x4074))
% 184.29/184.11 [408]~E(x4081,x4082)+E(f297(x4083,x4081,x4084),f297(x4083,x4082,x4084))
% 184.29/184.11 [409]~E(x4091,x4092)+E(f297(x4093,x4094,x4091),f297(x4093,x4094,x4092))
% 184.29/184.11 [410]~E(x4101,x4102)+E(f488(x4101,x4103,x4104,x4105,x4106),f488(x4102,x4103,x4104,x4105,x4106))
% 184.29/184.11 [411]~E(x4111,x4112)+E(f488(x4113,x4111,x4114,x4115,x4116),f488(x4113,x4112,x4114,x4115,x4116))
% 184.29/184.11 [412]~E(x4121,x4122)+E(f488(x4123,x4124,x4121,x4125,x4126),f488(x4123,x4124,x4122,x4125,x4126))
% 184.29/184.11 [413]~E(x4131,x4132)+E(f488(x4133,x4134,x4135,x4131,x4136),f488(x4133,x4134,x4135,x4132,x4136))
% 184.29/184.11 [414]~E(x4141,x4142)+E(f488(x4143,x4144,x4145,x4146,x4141),f488(x4143,x4144,x4145,x4146,x4142))
% 184.29/184.11 [415]~E(x4151,x4152)+E(f170(x4151,x4153,x4154,x4155),f170(x4152,x4153,x4154,x4155))
% 184.29/184.11 [416]~E(x4161,x4162)+E(f170(x4163,x4161,x4164,x4165),f170(x4163,x4162,x4164,x4165))
% 184.29/184.11 [417]~E(x4171,x4172)+E(f170(x4173,x4174,x4171,x4175),f170(x4173,x4174,x4172,x4175))
% 184.29/184.11 [418]~E(x4181,x4182)+E(f170(x4183,x4184,x4185,x4181),f170(x4183,x4184,x4185,x4182))
% 184.29/184.11 [419]~E(x4191,x4192)+E(f191(x4191,x4193,x4194,x4195),f191(x4192,x4193,x4194,x4195))
% 184.29/184.11 [420]~E(x4201,x4202)+E(f191(x4203,x4201,x4204,x4205),f191(x4203,x4202,x4204,x4205))
% 184.29/184.11 [421]~E(x4211,x4212)+E(f191(x4213,x4214,x4211,x4215),f191(x4213,x4214,x4212,x4215))
% 184.29/184.11 [422]~E(x4221,x4222)+E(f191(x4223,x4224,x4225,x4221),f191(x4223,x4224,x4225,x4222))
% 184.29/184.11 [423]~E(x4231,x4232)+E(f93(x4231),f93(x4232))
% 184.29/184.11 [424]~E(x4241,x4242)+E(f505(x4241,x4243,x4244,x4245),f505(x4242,x4243,x4244,x4245))
% 184.29/184.11 [425]~E(x4251,x4252)+E(f505(x4253,x4251,x4254,x4255),f505(x4253,x4252,x4254,x4255))
% 184.29/184.11 [426]~E(x4261,x4262)+E(f505(x4263,x4264,x4261,x4265),f505(x4263,x4264,x4262,x4265))
% 184.29/184.11 [427]~E(x4271,x4272)+E(f505(x4273,x4274,x4275,x4271),f505(x4273,x4274,x4275,x4272))
% 184.29/184.11 [428]~E(x4281,x4282)+E(f190(x4281,x4283,x4284,x4285),f190(x4282,x4283,x4284,x4285))
% 184.29/184.11 [429]~E(x4291,x4292)+E(f190(x4293,x4291,x4294,x4295),f190(x4293,x4292,x4294,x4295))
% 184.29/184.11 [430]~E(x4301,x4302)+E(f190(x4303,x4304,x4301,x4305),f190(x4303,x4304,x4302,x4305))
% 184.29/184.11 [431]~E(x4311,x4312)+E(f190(x4313,x4314,x4315,x4311),f190(x4313,x4314,x4315,x4312))
% 184.29/184.11 [432]~E(x4321,x4322)+E(f207(x4321),f207(x4322))
% 184.29/184.11 [433]~E(x4331,x4332)+E(f377(x4331,x4333),f377(x4332,x4333))
% 184.29/184.11 [434]~E(x4341,x4342)+E(f377(x4343,x4341),f377(x4343,x4342))
% 184.29/184.11 [435]~E(x4351,x4352)+E(f336(x4351,x4353,x4354,x4355),f336(x4352,x4353,x4354,x4355))
% 184.29/184.11 [436]~E(x4361,x4362)+E(f336(x4363,x4361,x4364,x4365),f336(x4363,x4362,x4364,x4365))
% 184.29/184.11 [437]~E(x4371,x4372)+E(f336(x4373,x4374,x4371,x4375),f336(x4373,x4374,x4372,x4375))
% 184.29/184.11 [438]~E(x4381,x4382)+E(f336(x4383,x4384,x4385,x4381),f336(x4383,x4384,x4385,x4382))
% 184.29/184.11 [439]~E(x4391,x4392)+E(f637(x4391,x4393,x4394,x4395,x4396),f637(x4392,x4393,x4394,x4395,x4396))
% 184.29/184.11 [440]~E(x4401,x4402)+E(f637(x4403,x4401,x4404,x4405,x4406),f637(x4403,x4402,x4404,x4405,x4406))
% 184.29/184.11 [441]~E(x4411,x4412)+E(f637(x4413,x4414,x4411,x4415,x4416),f637(x4413,x4414,x4412,x4415,x4416))
% 184.29/184.11 [442]~E(x4421,x4422)+E(f637(x4423,x4424,x4425,x4421,x4426),f637(x4423,x4424,x4425,x4422,x4426))
% 184.29/184.11 [443]~E(x4431,x4432)+E(f637(x4433,x4434,x4435,x4436,x4431),f637(x4433,x4434,x4435,x4436,x4432))
% 184.29/184.11 [444]~E(x4441,x4442)+E(f345(x4441,x4443,x4444,x4445),f345(x4442,x4443,x4444,x4445))
% 184.29/184.11 [445]~E(x4451,x4452)+E(f345(x4453,x4451,x4454,x4455),f345(x4453,x4452,x4454,x4455))
% 184.29/184.11 [446]~E(x4461,x4462)+E(f345(x4463,x4464,x4461,x4465),f345(x4463,x4464,x4462,x4465))
% 184.29/184.11 [447]~E(x4471,x4472)+E(f345(x4473,x4474,x4475,x4471),f345(x4473,x4474,x4475,x4472))
% 184.29/184.11 [448]~E(x4481,x4482)+E(f257(x4481),f257(x4482))
% 184.29/184.11 [449]~E(x4491,x4492)+E(f164(x4491,x4493),f164(x4492,x4493))
% 184.29/184.11 [450]~E(x4501,x4502)+E(f164(x4503,x4501),f164(x4503,x4502))
% 184.29/184.11 [451]~E(x4511,x4512)+E(f138(x4511,x4513,x4514),f138(x4512,x4513,x4514))
% 184.29/184.11 [452]~E(x4521,x4522)+E(f138(x4523,x4521,x4524),f138(x4523,x4522,x4524))
% 184.29/184.11 [453]~E(x4531,x4532)+E(f138(x4533,x4534,x4531),f138(x4533,x4534,x4532))
% 184.29/184.11 [454]~E(x4541,x4542)+E(f626(x4541,x4543,x4544),f626(x4542,x4543,x4544))
% 184.29/184.11 [455]~E(x4551,x4552)+E(f626(x4553,x4551,x4554),f626(x4553,x4552,x4554))
% 184.29/184.11 [456]~E(x4561,x4562)+E(f626(x4563,x4564,x4561),f626(x4563,x4564,x4562))
% 184.29/184.11 [457]~E(x4571,x4572)+E(f467(x4571,x4573,x4574),f467(x4572,x4573,x4574))
% 184.29/184.11 [458]~E(x4581,x4582)+E(f467(x4583,x4581,x4584),f467(x4583,x4582,x4584))
% 184.29/184.11 [459]~E(x4591,x4592)+E(f467(x4593,x4594,x4591),f467(x4593,x4594,x4592))
% 184.29/184.11 [460]~E(x4601,x4602)+E(f841(x4601,x4603,x4604,x4605),f841(x4602,x4603,x4604,x4605))
% 184.29/184.11 [461]~E(x4611,x4612)+E(f841(x4613,x4611,x4614,x4615),f841(x4613,x4612,x4614,x4615))
% 184.29/184.11 [462]~E(x4621,x4622)+E(f841(x4623,x4624,x4621,x4625),f841(x4623,x4624,x4622,x4625))
% 184.29/184.11 [463]~E(x4631,x4632)+E(f841(x4633,x4634,x4635,x4631),f841(x4633,x4634,x4635,x4632))
% 184.29/184.11 [464]~E(x4641,x4642)+E(f135(x4641,x4643),f135(x4642,x4643))
% 184.29/184.11 [465]~E(x4651,x4652)+E(f135(x4653,x4651),f135(x4653,x4652))
% 184.29/184.11 [466]~E(x4661,x4662)+E(f175(x4661,x4663,x4664,x4665),f175(x4662,x4663,x4664,x4665))
% 184.29/184.11 [467]~E(x4671,x4672)+E(f175(x4673,x4671,x4674,x4675),f175(x4673,x4672,x4674,x4675))
% 184.29/184.11 [468]~E(x4681,x4682)+E(f175(x4683,x4684,x4681,x4685),f175(x4683,x4684,x4682,x4685))
% 184.29/184.11 [469]~E(x4691,x4692)+E(f175(x4693,x4694,x4695,x4691),f175(x4693,x4694,x4695,x4692))
% 184.29/184.11 [470]~E(x4701,x4702)+E(f172(x4701,x4703,x4704,x4705),f172(x4702,x4703,x4704,x4705))
% 184.29/184.11 [471]~E(x4711,x4712)+E(f172(x4713,x4711,x4714,x4715),f172(x4713,x4712,x4714,x4715))
% 184.29/184.11 [472]~E(x4721,x4722)+E(f172(x4723,x4724,x4721,x4725),f172(x4723,x4724,x4722,x4725))
% 184.29/184.11 [473]~E(x4731,x4732)+E(f172(x4733,x4734,x4735,x4731),f172(x4733,x4734,x4735,x4732))
% 184.29/184.11 [474]~E(x4741,x4742)+E(f299(x4741),f299(x4742))
% 184.29/184.11 [475]~E(x4751,x4752)+E(f355(x4751,x4753,x4754,x4755),f355(x4752,x4753,x4754,x4755))
% 184.29/184.11 [476]~E(x4761,x4762)+E(f355(x4763,x4761,x4764,x4765),f355(x4763,x4762,x4764,x4765))
% 184.29/184.11 [477]~E(x4771,x4772)+E(f355(x4773,x4774,x4771,x4775),f355(x4773,x4774,x4772,x4775))
% 184.29/184.11 [478]~E(x4781,x4782)+E(f355(x4783,x4784,x4785,x4781),f355(x4783,x4784,x4785,x4782))
% 184.29/184.11 [479]~E(x4791,x4792)+E(f519(x4791,x4793,x4794,x4795),f519(x4792,x4793,x4794,x4795))
% 184.29/184.11 [480]~E(x4801,x4802)+E(f519(x4803,x4801,x4804,x4805),f519(x4803,x4802,x4804,x4805))
% 184.29/184.11 [481]~E(x4811,x4812)+E(f519(x4813,x4814,x4811,x4815),f519(x4813,x4814,x4812,x4815))
% 184.29/184.11 [482]~E(x4821,x4822)+E(f519(x4823,x4824,x4825,x4821),f519(x4823,x4824,x4825,x4822))
% 184.29/184.11 [483]~E(x4831,x4832)+E(f50(x4831),f50(x4832))
% 184.29/184.11 [484]~E(x4841,x4842)+E(f663(x4841,x4843,x4844,x4845,x4846,x4847,x4848),f663(x4842,x4843,x4844,x4845,x4846,x4847,x4848))
% 184.29/184.11 [485]~E(x4851,x4852)+E(f663(x4853,x4851,x4854,x4855,x4856,x4857,x4858),f663(x4853,x4852,x4854,x4855,x4856,x4857,x4858))
% 184.29/184.11 [486]~E(x4861,x4862)+E(f663(x4863,x4864,x4861,x4865,x4866,x4867,x4868),f663(x4863,x4864,x4862,x4865,x4866,x4867,x4868))
% 184.29/184.11 [487]~E(x4871,x4872)+E(f663(x4873,x4874,x4875,x4871,x4876,x4877,x4878),f663(x4873,x4874,x4875,x4872,x4876,x4877,x4878))
% 184.29/184.11 [488]~E(x4881,x4882)+E(f663(x4883,x4884,x4885,x4886,x4881,x4887,x4888),f663(x4883,x4884,x4885,x4886,x4882,x4887,x4888))
% 184.29/184.11 [489]~E(x4891,x4892)+E(f663(x4893,x4894,x4895,x4896,x4897,x4891,x4898),f663(x4893,x4894,x4895,x4896,x4897,x4892,x4898))
% 184.29/184.11 [490]~E(x4901,x4902)+E(f663(x4903,x4904,x4905,x4906,x4907,x4908,x4901),f663(x4903,x4904,x4905,x4906,x4907,x4908,x4902))
% 184.29/184.11 [491]~E(x4911,x4912)+E(f382(x4911,x4913,x4914,x4915),f382(x4912,x4913,x4914,x4915))
% 184.29/184.11 [492]~E(x4921,x4922)+E(f382(x4923,x4921,x4924,x4925),f382(x4923,x4922,x4924,x4925))
% 184.29/184.11 [493]~E(x4931,x4932)+E(f382(x4933,x4934,x4931,x4935),f382(x4933,x4934,x4932,x4935))
% 184.29/184.11 [494]~E(x4941,x4942)+E(f382(x4943,x4944,x4945,x4941),f382(x4943,x4944,x4945,x4942))
% 184.29/184.11 [495]~E(x4951,x4952)+E(f74(x4951,x4953),f74(x4952,x4953))
% 184.29/184.11 [496]~E(x4961,x4962)+E(f74(x4963,x4961),f74(x4963,x4962))
% 184.29/184.11 [497]~E(x4971,x4972)+E(f282(x4971,x4973,x4974,x4975),f282(x4972,x4973,x4974,x4975))
% 184.29/184.11 [498]~E(x4981,x4982)+E(f282(x4983,x4981,x4984,x4985),f282(x4983,x4982,x4984,x4985))
% 184.29/184.11 [499]~E(x4991,x4992)+E(f282(x4993,x4994,x4991,x4995),f282(x4993,x4994,x4992,x4995))
% 184.29/184.11 [500]~E(x5001,x5002)+E(f282(x5003,x5004,x5005,x5001),f282(x5003,x5004,x5005,x5002))
% 184.29/184.11 [501]~E(x5011,x5012)+E(f197(x5011),f197(x5012))
% 184.29/184.11 [502]~E(x5021,x5022)+E(f661(x5021,x5023,x5024,x5025,x5026),f661(x5022,x5023,x5024,x5025,x5026))
% 184.29/184.11 [503]~E(x5031,x5032)+E(f661(x5033,x5031,x5034,x5035,x5036),f661(x5033,x5032,x5034,x5035,x5036))
% 184.29/184.11 [504]~E(x5041,x5042)+E(f661(x5043,x5044,x5041,x5045,x5046),f661(x5043,x5044,x5042,x5045,x5046))
% 184.29/184.11 [505]~E(x5051,x5052)+E(f661(x5053,x5054,x5055,x5051,x5056),f661(x5053,x5054,x5055,x5052,x5056))
% 184.29/184.11 [506]~E(x5061,x5062)+E(f661(x5063,x5064,x5065,x5066,x5061),f661(x5063,x5064,x5065,x5066,x5062))
% 184.29/184.11 [507]~E(x5071,x5072)+E(f531(x5071,x5073,x5074,x5075,x5076),f531(x5072,x5073,x5074,x5075,x5076))
% 184.29/184.11 [508]~E(x5081,x5082)+E(f531(x5083,x5081,x5084,x5085,x5086),f531(x5083,x5082,x5084,x5085,x5086))
% 184.29/184.11 [509]~E(x5091,x5092)+E(f531(x5093,x5094,x5091,x5095,x5096),f531(x5093,x5094,x5092,x5095,x5096))
% 184.29/184.11 [510]~E(x5101,x5102)+E(f531(x5103,x5104,x5105,x5101,x5106),f531(x5103,x5104,x5105,x5102,x5106))
% 184.29/184.11 [511]~E(x5111,x5112)+E(f531(x5113,x5114,x5115,x5116,x5111),f531(x5113,x5114,x5115,x5116,x5112))
% 184.29/184.11 [512]~E(x5121,x5122)+E(f196(x5121,x5123),f196(x5122,x5123))
% 184.29/184.11 [513]~E(x5131,x5132)+E(f196(x5133,x5131),f196(x5133,x5132))
% 184.29/184.11 [514]~E(x5141,x5142)+E(f60(x5141,x5143),f60(x5142,x5143))
% 184.29/184.11 [515]~E(x5151,x5152)+E(f60(x5153,x5151),f60(x5153,x5152))
% 184.29/184.11 [516]~E(x5161,x5162)+E(f90(x5161),f90(x5162))
% 184.29/184.11 [517]~E(x5171,x5172)+E(f429(x5171,x5173,x5174,x5175),f429(x5172,x5173,x5174,x5175))
% 184.29/184.11 [518]~E(x5181,x5182)+E(f429(x5183,x5181,x5184,x5185),f429(x5183,x5182,x5184,x5185))
% 184.29/184.11 [519]~E(x5191,x5192)+E(f429(x5193,x5194,x5191,x5195),f429(x5193,x5194,x5192,x5195))
% 184.29/184.11 [520]~E(x5201,x5202)+E(f429(x5203,x5204,x5205,x5201),f429(x5203,x5204,x5205,x5202))
% 184.29/184.11 [521]~E(x5211,x5212)+E(f447(x5211,x5213),f447(x5212,x5213))
% 184.29/184.11 [522]~E(x5221,x5222)+E(f447(x5223,x5221),f447(x5223,x5222))
% 184.29/184.11 [523]~E(x5231,x5232)+E(f57(x5231,x5233),f57(x5232,x5233))
% 184.29/184.11 [524]~E(x5241,x5242)+E(f57(x5243,x5241),f57(x5243,x5242))
% 184.29/184.11 [525]~E(x5251,x5252)+E(f298(x5251,x5253,x5254),f298(x5252,x5253,x5254))
% 184.29/184.11 [526]~E(x5261,x5262)+E(f298(x5263,x5261,x5264),f298(x5263,x5262,x5264))
% 184.29/184.11 [527]~E(x5271,x5272)+E(f298(x5273,x5274,x5271),f298(x5273,x5274,x5272))
% 184.29/184.11 [528]~E(x5281,x5282)+E(f280(x5281,x5283),f280(x5282,x5283))
% 184.29/184.11 [529]~E(x5291,x5292)+E(f280(x5293,x5291),f280(x5293,x5292))
% 184.29/184.11 [530]~E(x5301,x5302)+E(f676(x5301,x5303,x5304),f676(x5302,x5303,x5304))
% 184.29/184.11 [531]~E(x5311,x5312)+E(f676(x5313,x5311,x5314),f676(x5313,x5312,x5314))
% 184.29/184.11 [532]~E(x5321,x5322)+E(f676(x5323,x5324,x5321),f676(x5323,x5324,x5322))
% 184.29/184.11 [533]~E(x5331,x5332)+E(f384(x5331,x5333,x5334,x5335),f384(x5332,x5333,x5334,x5335))
% 184.29/184.11 [534]~E(x5341,x5342)+E(f384(x5343,x5341,x5344,x5345),f384(x5343,x5342,x5344,x5345))
% 184.29/184.11 [535]~E(x5351,x5352)+E(f384(x5353,x5354,x5351,x5355),f384(x5353,x5354,x5352,x5355))
% 184.29/184.11 [536]~E(x5361,x5362)+E(f384(x5363,x5364,x5365,x5361),f384(x5363,x5364,x5365,x5362))
% 184.29/184.11 [537]~E(x5371,x5372)+E(f708(x5371,x5373,x5374,x5375,x5376,x5377),f708(x5372,x5373,x5374,x5375,x5376,x5377))
% 184.29/184.11 [538]~E(x5381,x5382)+E(f708(x5383,x5381,x5384,x5385,x5386,x5387),f708(x5383,x5382,x5384,x5385,x5386,x5387))
% 184.29/184.11 [539]~E(x5391,x5392)+E(f708(x5393,x5394,x5391,x5395,x5396,x5397),f708(x5393,x5394,x5392,x5395,x5396,x5397))
% 184.29/184.11 [540]~E(x5401,x5402)+E(f708(x5403,x5404,x5405,x5401,x5406,x5407),f708(x5403,x5404,x5405,x5402,x5406,x5407))
% 184.29/184.11 [541]~E(x5411,x5412)+E(f708(x5413,x5414,x5415,x5416,x5411,x5417),f708(x5413,x5414,x5415,x5416,x5412,x5417))
% 184.29/184.11 [542]~E(x5421,x5422)+E(f708(x5423,x5424,x5425,x5426,x5427,x5421),f708(x5423,x5424,x5425,x5426,x5427,x5422))
% 184.29/184.11 [543]~E(x5431,x5432)+E(f709(x5431,x5433,x5434,x5435,x5436,x5437),f709(x5432,x5433,x5434,x5435,x5436,x5437))
% 184.29/184.11 [544]~E(x5441,x5442)+E(f709(x5443,x5441,x5444,x5445,x5446,x5447),f709(x5443,x5442,x5444,x5445,x5446,x5447))
% 184.29/184.11 [545]~E(x5451,x5452)+E(f709(x5453,x5454,x5451,x5455,x5456,x5457),f709(x5453,x5454,x5452,x5455,x5456,x5457))
% 184.29/184.11 [546]~E(x5461,x5462)+E(f709(x5463,x5464,x5465,x5461,x5466,x5467),f709(x5463,x5464,x5465,x5462,x5466,x5467))
% 184.29/184.11 [547]~E(x5471,x5472)+E(f709(x5473,x5474,x5475,x5476,x5471,x5477),f709(x5473,x5474,x5475,x5476,x5472,x5477))
% 184.29/184.11 [548]~E(x5481,x5482)+E(f709(x5483,x5484,x5485,x5486,x5487,x5481),f709(x5483,x5484,x5485,x5486,x5487,x5482))
% 184.29/184.11 [549]~E(x5491,x5492)+E(f527(x5491,x5493,x5494,x5495),f527(x5492,x5493,x5494,x5495))
% 184.29/184.11 [550]~E(x5501,x5502)+E(f527(x5503,x5501,x5504,x5505),f527(x5503,x5502,x5504,x5505))
% 184.29/184.11 [551]~E(x5511,x5512)+E(f527(x5513,x5514,x5511,x5515),f527(x5513,x5514,x5512,x5515))
% 184.29/184.11 [552]~E(x5521,x5522)+E(f527(x5523,x5524,x5525,x5521),f527(x5523,x5524,x5525,x5522))
% 184.29/184.11 [553]~E(x5531,x5532)+E(f613(x5531,x5533,x5534,x5535,x5536,x5537),f613(x5532,x5533,x5534,x5535,x5536,x5537))
% 184.29/184.11 [554]~E(x5541,x5542)+E(f613(x5543,x5541,x5544,x5545,x5546,x5547),f613(x5543,x5542,x5544,x5545,x5546,x5547))
% 184.29/184.11 [555]~E(x5551,x5552)+E(f613(x5553,x5554,x5551,x5555,x5556,x5557),f613(x5553,x5554,x5552,x5555,x5556,x5557))
% 184.29/184.11 [556]~E(x5561,x5562)+E(f613(x5563,x5564,x5565,x5561,x5566,x5567),f613(x5563,x5564,x5565,x5562,x5566,x5567))
% 184.29/184.11 [557]~E(x5571,x5572)+E(f613(x5573,x5574,x5575,x5576,x5571,x5577),f613(x5573,x5574,x5575,x5576,x5572,x5577))
% 184.29/184.11 [558]~E(x5581,x5582)+E(f613(x5583,x5584,x5585,x5586,x5587,x5581),f613(x5583,x5584,x5585,x5586,x5587,x5582))
% 184.29/184.11 [559]~E(x5591,x5592)+E(f440(x5591,x5593,x5594,x5595,x5596),f440(x5592,x5593,x5594,x5595,x5596))
% 184.29/184.11 [560]~E(x5601,x5602)+E(f440(x5603,x5601,x5604,x5605,x5606),f440(x5603,x5602,x5604,x5605,x5606))
% 184.29/184.11 [561]~E(x5611,x5612)+E(f440(x5613,x5614,x5611,x5615,x5616),f440(x5613,x5614,x5612,x5615,x5616))
% 184.29/184.11 [562]~E(x5621,x5622)+E(f440(x5623,x5624,x5625,x5621,x5626),f440(x5623,x5624,x5625,x5622,x5626))
% 184.29/184.11 [563]~E(x5631,x5632)+E(f440(x5633,x5634,x5635,x5636,x5631),f440(x5633,x5634,x5635,x5636,x5632))
% 184.29/184.11 [564]~E(x5641,x5642)+E(f817(x5641,x5643,x5644),f817(x5642,x5643,x5644))
% 184.29/184.11 [565]~E(x5651,x5652)+E(f817(x5653,x5651,x5654),f817(x5653,x5652,x5654))
% 184.29/184.11 [566]~E(x5661,x5662)+E(f817(x5663,x5664,x5661),f817(x5663,x5664,x5662))
% 184.29/184.11 [567]~E(x5671,x5672)+E(f321(x5671,x5673),f321(x5672,x5673))
% 184.29/184.11 [568]~E(x5681,x5682)+E(f321(x5683,x5681),f321(x5683,x5682))
% 184.29/184.11 [569]~E(x5691,x5692)+E(f263(x5691,x5693),f263(x5692,x5693))
% 184.29/184.11 [570]~E(x5701,x5702)+E(f263(x5703,x5701),f263(x5703,x5702))
% 184.29/184.11 [571]~E(x5711,x5712)+E(f835(x5711,x5713,x5714),f835(x5712,x5713,x5714))
% 184.29/184.11 [572]~E(x5721,x5722)+E(f835(x5723,x5721,x5724),f835(x5723,x5722,x5724))
% 184.29/184.11 [573]~E(x5731,x5732)+E(f835(x5733,x5734,x5731),f835(x5733,x5734,x5732))
% 184.29/184.11 [574]~E(x5741,x5742)+E(f259(x5741,x5743),f259(x5742,x5743))
% 184.29/184.11 [575]~E(x5751,x5752)+E(f259(x5753,x5751),f259(x5753,x5752))
% 184.29/184.11 [576]~E(x5761,x5762)+E(f226(x5761,x5763),f226(x5762,x5763))
% 184.29/184.11 [577]~E(x5771,x5772)+E(f226(x5773,x5771),f226(x5773,x5772))
% 184.29/184.11 [578]~E(x5781,x5782)+E(f599(x5781,x5783,x5784,x5785),f599(x5782,x5783,x5784,x5785))
% 184.29/184.11 [579]~E(x5791,x5792)+E(f599(x5793,x5791,x5794,x5795),f599(x5793,x5792,x5794,x5795))
% 184.29/184.11 [580]~E(x5801,x5802)+E(f599(x5803,x5804,x5801,x5805),f599(x5803,x5804,x5802,x5805))
% 184.29/184.11 [581]~E(x5811,x5812)+E(f599(x5813,x5814,x5815,x5811),f599(x5813,x5814,x5815,x5812))
% 184.29/184.11 [582]~E(x5821,x5822)+E(f155(x5821),f155(x5822))
% 184.29/184.11 [583]~E(x5831,x5832)+E(f650(x5831,x5833,x5834),f650(x5832,x5833,x5834))
% 184.29/184.11 [584]~E(x5841,x5842)+E(f650(x5843,x5841,x5844),f650(x5843,x5842,x5844))
% 184.29/184.11 [585]~E(x5851,x5852)+E(f650(x5853,x5854,x5851),f650(x5853,x5854,x5852))
% 184.29/184.11 [586]~E(x5861,x5862)+E(f76(x5861,x5863),f76(x5862,x5863))
% 184.29/184.11 [587]~E(x5871,x5872)+E(f76(x5873,x5871),f76(x5873,x5872))
% 184.29/184.11 [588]~E(x5881,x5882)+E(f368(x5881,x5883,x5884,x5885,x5886),f368(x5882,x5883,x5884,x5885,x5886))
% 184.29/184.11 [589]~E(x5891,x5892)+E(f368(x5893,x5891,x5894,x5895,x5896),f368(x5893,x5892,x5894,x5895,x5896))
% 184.29/184.11 [590]~E(x5901,x5902)+E(f368(x5903,x5904,x5901,x5905,x5906),f368(x5903,x5904,x5902,x5905,x5906))
% 184.29/184.11 [591]~E(x5911,x5912)+E(f368(x5913,x5914,x5915,x5911,x5916),f368(x5913,x5914,x5915,x5912,x5916))
% 184.29/184.11 [592]~E(x5921,x5922)+E(f368(x5923,x5924,x5925,x5926,x5921),f368(x5923,x5924,x5925,x5926,x5922))
% 184.29/184.11 [593]~E(x5931,x5932)+E(f705(x5931,x5933,x5934,x5935,x5936,x5937),f705(x5932,x5933,x5934,x5935,x5936,x5937))
% 184.29/184.11 [594]~E(x5941,x5942)+E(f705(x5943,x5941,x5944,x5945,x5946,x5947),f705(x5943,x5942,x5944,x5945,x5946,x5947))
% 184.29/184.11 [595]~E(x5951,x5952)+E(f705(x5953,x5954,x5951,x5955,x5956,x5957),f705(x5953,x5954,x5952,x5955,x5956,x5957))
% 184.29/184.11 [596]~E(x5961,x5962)+E(f705(x5963,x5964,x5965,x5961,x5966,x5967),f705(x5963,x5964,x5965,x5962,x5966,x5967))
% 184.29/184.11 [597]~E(x5971,x5972)+E(f705(x5973,x5974,x5975,x5976,x5971,x5977),f705(x5973,x5974,x5975,x5976,x5972,x5977))
% 184.29/184.11 [598]~E(x5981,x5982)+E(f705(x5983,x5984,x5985,x5986,x5987,x5981),f705(x5983,x5984,x5985,x5986,x5987,x5982))
% 184.29/184.11 [599]~E(x5991,x5992)+E(f89(x5991),f89(x5992))
% 184.29/184.11 [600]~E(x6001,x6002)+E(f356(x6001,x6003,x6004,x6005),f356(x6002,x6003,x6004,x6005))
% 184.29/184.11 [601]~E(x6011,x6012)+E(f356(x6013,x6011,x6014,x6015),f356(x6013,x6012,x6014,x6015))
% 184.29/184.11 [602]~E(x6021,x6022)+E(f356(x6023,x6024,x6021,x6025),f356(x6023,x6024,x6022,x6025))
% 184.29/184.11 [603]~E(x6031,x6032)+E(f356(x6033,x6034,x6035,x6031),f356(x6033,x6034,x6035,x6032))
% 184.29/184.11 [604]~E(x6041,x6042)+E(f528(x6041,x6043,x6044,x6045),f528(x6042,x6043,x6044,x6045))
% 184.29/184.11 [605]~E(x6051,x6052)+E(f528(x6053,x6051,x6054,x6055),f528(x6053,x6052,x6054,x6055))
% 184.29/184.11 [606]~E(x6061,x6062)+E(f528(x6063,x6064,x6061,x6065),f528(x6063,x6064,x6062,x6065))
% 184.29/184.11 [607]~E(x6071,x6072)+E(f528(x6073,x6074,x6075,x6071),f528(x6073,x6074,x6075,x6072))
% 184.29/184.11 [608]~E(x6081,x6082)+E(f784(x6081,x6083,x6084),f784(x6082,x6083,x6084))
% 184.29/184.11 [609]~E(x6091,x6092)+E(f784(x6093,x6091,x6094),f784(x6093,x6092,x6094))
% 184.29/184.11 [610]~E(x6101,x6102)+E(f784(x6103,x6104,x6101),f784(x6103,x6104,x6102))
% 184.29/184.11 [611]~E(x6111,x6112)+E(f674(x6111,x6113,x6114),f674(x6112,x6113,x6114))
% 184.29/184.11 [612]~E(x6121,x6122)+E(f674(x6123,x6121,x6124),f674(x6123,x6122,x6124))
% 184.29/184.11 [613]~E(x6131,x6132)+E(f674(x6133,x6134,x6131),f674(x6133,x6134,x6132))
% 184.29/184.11 [614]~E(x6141,x6142)+E(f825(x6141,x6143,x6144),f825(x6142,x6143,x6144))
% 184.29/184.11 [615]~E(x6151,x6152)+E(f825(x6153,x6151,x6154),f825(x6153,x6152,x6154))
% 184.29/184.11 [616]~E(x6161,x6162)+E(f825(x6163,x6164,x6161),f825(x6163,x6164,x6162))
% 184.29/184.11 [617]~E(x6171,x6172)+E(f148(x6171,x6173),f148(x6172,x6173))
% 184.29/184.11 [618]~E(x6181,x6182)+E(f148(x6183,x6181),f148(x6183,x6182))
% 184.29/184.11 [619]~E(x6191,x6192)+E(f55(x6191,x6193),f55(x6192,x6193))
% 184.29/184.11 [620]~E(x6201,x6202)+E(f55(x6203,x6201),f55(x6203,x6202))
% 184.29/184.11 [621]~E(x6211,x6212)+E(f496(x6211,x6213,x6214,x6215,x6216,x6217),f496(x6212,x6213,x6214,x6215,x6216,x6217))
% 184.29/184.11 [622]~E(x6221,x6222)+E(f496(x6223,x6221,x6224,x6225,x6226,x6227),f496(x6223,x6222,x6224,x6225,x6226,x6227))
% 184.29/184.11 [623]~E(x6231,x6232)+E(f496(x6233,x6234,x6231,x6235,x6236,x6237),f496(x6233,x6234,x6232,x6235,x6236,x6237))
% 184.29/184.11 [624]~E(x6241,x6242)+E(f496(x6243,x6244,x6245,x6241,x6246,x6247),f496(x6243,x6244,x6245,x6242,x6246,x6247))
% 184.29/184.11 [625]~E(x6251,x6252)+E(f496(x6253,x6254,x6255,x6256,x6251,x6257),f496(x6253,x6254,x6255,x6256,x6252,x6257))
% 184.29/184.11 [626]~E(x6261,x6262)+E(f496(x6263,x6264,x6265,x6266,x6267,x6261),f496(x6263,x6264,x6265,x6266,x6267,x6262))
% 184.29/184.11 [627]~E(x6271,x6272)+E(f267(x6271,x6273),f267(x6272,x6273))
% 184.29/184.11 [628]~E(x6281,x6282)+E(f267(x6283,x6281),f267(x6283,x6282))
% 184.29/184.11 [629]~E(x6291,x6292)+E(f313(x6291,x6293),f313(x6292,x6293))
% 184.29/184.11 [630]~E(x6301,x6302)+E(f313(x6303,x6301),f313(x6303,x6302))
% 184.29/184.11 [631]~E(x6311,x6312)+E(f327(x6311,x6313,x6314),f327(x6312,x6313,x6314))
% 184.29/184.11 [632]~E(x6321,x6322)+E(f327(x6323,x6321,x6324),f327(x6323,x6322,x6324))
% 184.29/184.11 [633]~E(x6331,x6332)+E(f327(x6333,x6334,x6331),f327(x6333,x6334,x6332))
% 184.29/184.11 [634]~E(x6341,x6342)+E(f523(x6341,x6343,x6344,x6345),f523(x6342,x6343,x6344,x6345))
% 184.29/184.11 [635]~E(x6351,x6352)+E(f523(x6353,x6351,x6354,x6355),f523(x6353,x6352,x6354,x6355))
% 184.29/184.11 [636]~E(x6361,x6362)+E(f523(x6363,x6364,x6361,x6365),f523(x6363,x6364,x6362,x6365))
% 184.29/184.11 [637]~E(x6371,x6372)+E(f523(x6373,x6374,x6375,x6371),f523(x6373,x6374,x6375,x6372))
% 184.29/184.11 [638]~E(x6381,x6382)+E(f306(x6381,x6383),f306(x6382,x6383))
% 184.29/184.11 [639]~E(x6391,x6392)+E(f306(x6393,x6391),f306(x6393,x6392))
% 184.29/184.11 [640]~E(x6401,x6402)+E(f325(x6401,x6403,x6404,x6405),f325(x6402,x6403,x6404,x6405))
% 184.29/184.11 [641]~E(x6411,x6412)+E(f325(x6413,x6411,x6414,x6415),f325(x6413,x6412,x6414,x6415))
% 184.29/184.11 [642]~E(x6421,x6422)+E(f325(x6423,x6424,x6421,x6425),f325(x6423,x6424,x6422,x6425))
% 184.29/184.11 [643]~E(x6431,x6432)+E(f325(x6433,x6434,x6435,x6431),f325(x6433,x6434,x6435,x6432))
% 184.29/184.11 [644]~E(x6441,x6442)+E(f290(x6441,x6443,x6444),f290(x6442,x6443,x6444))
% 184.29/184.11 [645]~E(x6451,x6452)+E(f290(x6453,x6451,x6454),f290(x6453,x6452,x6454))
% 184.29/184.11 [646]~E(x6461,x6462)+E(f290(x6463,x6464,x6461),f290(x6463,x6464,x6462))
% 184.29/184.11 [647]~E(x6471,x6472)+E(f341(x6471,x6473,x6474),f341(x6472,x6473,x6474))
% 184.29/184.11 [648]~E(x6481,x6482)+E(f341(x6483,x6481,x6484),f341(x6483,x6482,x6484))
% 184.29/184.11 [649]~E(x6491,x6492)+E(f341(x6493,x6494,x6491),f341(x6493,x6494,x6492))
% 184.29/184.11 [650]~E(x6501,x6502)+E(f500(x6501,x6503,x6504,x6505,x6506,x6507,x6508),f500(x6502,x6503,x6504,x6505,x6506,x6507,x6508))
% 184.29/184.11 [651]~E(x6511,x6512)+E(f500(x6513,x6511,x6514,x6515,x6516,x6517,x6518),f500(x6513,x6512,x6514,x6515,x6516,x6517,x6518))
% 184.29/184.11 [652]~E(x6521,x6522)+E(f500(x6523,x6524,x6521,x6525,x6526,x6527,x6528),f500(x6523,x6524,x6522,x6525,x6526,x6527,x6528))
% 184.29/184.11 [653]~E(x6531,x6532)+E(f500(x6533,x6534,x6535,x6531,x6536,x6537,x6538),f500(x6533,x6534,x6535,x6532,x6536,x6537,x6538))
% 184.29/184.11 [654]~E(x6541,x6542)+E(f500(x6543,x6544,x6545,x6546,x6541,x6547,x6548),f500(x6543,x6544,x6545,x6546,x6542,x6547,x6548))
% 184.29/184.11 [655]~E(x6551,x6552)+E(f500(x6553,x6554,x6555,x6556,x6557,x6551,x6558),f500(x6553,x6554,x6555,x6556,x6557,x6552,x6558))
% 184.29/184.11 [656]~E(x6561,x6562)+E(f500(x6563,x6564,x6565,x6566,x6567,x6568,x6561),f500(x6563,x6564,x6565,x6566,x6567,x6568,x6562))
% 184.29/184.11 [657]~E(x6571,x6572)+E(f354(x6571,x6573,x6574,x6575),f354(x6572,x6573,x6574,x6575))
% 184.29/184.11 [658]~E(x6581,x6582)+E(f354(x6583,x6581,x6584,x6585),f354(x6583,x6582,x6584,x6585))
% 184.29/184.11 [659]~E(x6591,x6592)+E(f354(x6593,x6594,x6591,x6595),f354(x6593,x6594,x6592,x6595))
% 184.29/184.11 [660]~E(x6601,x6602)+E(f354(x6603,x6604,x6605,x6601),f354(x6603,x6604,x6605,x6602))
% 184.29/184.11 [661]~E(x6611,x6612)+E(f670(x6611,x6613),f670(x6612,x6613))
% 184.29/184.11 [662]~E(x6621,x6622)+E(f670(x6623,x6621),f670(x6623,x6622))
% 184.29/184.11 [663]~E(x6631,x6632)+E(f243(x6631,x6633,x6634),f243(x6632,x6633,x6634))
% 184.29/184.11 [664]~E(x6641,x6642)+E(f243(x6643,x6641,x6644),f243(x6643,x6642,x6644))
% 184.29/184.11 [665]~E(x6651,x6652)+E(f243(x6653,x6654,x6651),f243(x6653,x6654,x6652))
% 184.29/184.11 [666]~E(x6661,x6662)+E(f810(x6661,x6663,x6664),f810(x6662,x6663,x6664))
% 184.29/184.11 [667]~E(x6671,x6672)+E(f810(x6673,x6671,x6674),f810(x6673,x6672,x6674))
% 184.29/184.11 [668]~E(x6681,x6682)+E(f810(x6683,x6684,x6681),f810(x6683,x6684,x6682))
% 184.29/184.11 [669]~E(x6691,x6692)+E(f292(x6691,x6693,x6694,x6695,x6696),f292(x6692,x6693,x6694,x6695,x6696))
% 184.29/184.11 [670]~E(x6701,x6702)+E(f292(x6703,x6701,x6704,x6705,x6706),f292(x6703,x6702,x6704,x6705,x6706))
% 184.29/184.11 [671]~E(x6711,x6712)+E(f292(x6713,x6714,x6711,x6715,x6716),f292(x6713,x6714,x6712,x6715,x6716))
% 184.29/184.11 [672]~E(x6721,x6722)+E(f292(x6723,x6724,x6725,x6721,x6726),f292(x6723,x6724,x6725,x6722,x6726))
% 184.29/184.11 [673]~E(x6731,x6732)+E(f292(x6733,x6734,x6735,x6736,x6731),f292(x6733,x6734,x6735,x6736,x6732))
% 184.29/184.11 [674]~E(x6741,x6742)+E(f771(x6741,x6743,x6744),f771(x6742,x6743,x6744))
% 184.29/184.11 [675]~E(x6751,x6752)+E(f771(x6753,x6751,x6754),f771(x6753,x6752,x6754))
% 184.29/184.11 [676]~E(x6761,x6762)+E(f771(x6763,x6764,x6761),f771(x6763,x6764,x6762))
% 184.29/184.11 [677]~E(x6771,x6772)+E(f800(x6771,x6773),f800(x6772,x6773))
% 184.29/184.11 [678]~E(x6781,x6782)+E(f800(x6783,x6781),f800(x6783,x6782))
% 184.29/184.11 [679]~E(x6791,x6792)+E(f738(x6791,x6793,x6794,x6795),f738(x6792,x6793,x6794,x6795))
% 184.29/184.11 [680]~E(x6801,x6802)+E(f738(x6803,x6801,x6804,x6805),f738(x6803,x6802,x6804,x6805))
% 184.29/184.11 [681]~E(x6811,x6812)+E(f738(x6813,x6814,x6811,x6815),f738(x6813,x6814,x6812,x6815))
% 184.29/184.11 [682]~E(x6821,x6822)+E(f738(x6823,x6824,x6825,x6821),f738(x6823,x6824,x6825,x6822))
% 184.29/184.11 [683]~E(x6831,x6832)+E(f36(x6831,x6833),f36(x6832,x6833))
% 184.29/184.11 [684]~E(x6841,x6842)+E(f36(x6843,x6841),f36(x6843,x6842))
% 184.29/184.11 [685]~E(x6851,x6852)+E(f803(x6851,x6853,x6854),f803(x6852,x6853,x6854))
% 184.29/184.11 [686]~E(x6861,x6862)+E(f803(x6863,x6861,x6864),f803(x6863,x6862,x6864))
% 184.29/184.11 [687]~E(x6871,x6872)+E(f803(x6873,x6874,x6871),f803(x6873,x6874,x6872))
% 184.29/184.11 [688]~E(x6881,x6882)+E(f723(x6881),f723(x6882))
% 184.29/184.11 [689]~E(x6891,x6892)+E(f701(x6891,x6893,x6894,x6895),f701(x6892,x6893,x6894,x6895))
% 184.29/184.11 [690]~E(x6901,x6902)+E(f701(x6903,x6901,x6904,x6905),f701(x6903,x6902,x6904,x6905))
% 184.29/184.11 [691]~E(x6911,x6912)+E(f701(x6913,x6914,x6911,x6915),f701(x6913,x6914,x6912,x6915))
% 184.29/184.11 [692]~E(x6921,x6922)+E(f701(x6923,x6924,x6925,x6921),f701(x6923,x6924,x6925,x6922))
% 184.29/184.11 [693]~E(x6931,x6932)+E(f677(x6931,x6933,x6934),f677(x6932,x6933,x6934))
% 184.29/184.11 [694]~E(x6941,x6942)+E(f677(x6943,x6941,x6944),f677(x6943,x6942,x6944))
% 184.29/184.11 [695]~E(x6951,x6952)+E(f677(x6953,x6954,x6951),f677(x6953,x6954,x6952))
% 184.29/184.11 [696]~E(x6961,x6962)+E(f253(x6961,x6963,x6964,x6965),f253(x6962,x6963,x6964,x6965))
% 184.29/184.11 [697]~E(x6971,x6972)+E(f253(x6973,x6971,x6974,x6975),f253(x6973,x6972,x6974,x6975))
% 184.29/184.11 [698]~E(x6981,x6982)+E(f253(x6983,x6984,x6981,x6985),f253(x6983,x6984,x6982,x6985))
% 184.29/184.11 [699]~E(x6991,x6992)+E(f253(x6993,x6994,x6995,x6991),f253(x6993,x6994,x6995,x6992))
% 184.29/184.11 [700]~E(x7001,x7002)+E(f631(x7001,x7003,x7004,x7005,x7006,x7007),f631(x7002,x7003,x7004,x7005,x7006,x7007))
% 184.29/184.11 [701]~E(x7011,x7012)+E(f631(x7013,x7011,x7014,x7015,x7016,x7017),f631(x7013,x7012,x7014,x7015,x7016,x7017))
% 184.29/184.11 [702]~E(x7021,x7022)+E(f631(x7023,x7024,x7021,x7025,x7026,x7027),f631(x7023,x7024,x7022,x7025,x7026,x7027))
% 184.29/184.11 [703]~E(x7031,x7032)+E(f631(x7033,x7034,x7035,x7031,x7036,x7037),f631(x7033,x7034,x7035,x7032,x7036,x7037))
% 184.29/184.11 [704]~E(x7041,x7042)+E(f631(x7043,x7044,x7045,x7046,x7041,x7047),f631(x7043,x7044,x7045,x7046,x7042,x7047))
% 184.29/184.11 [705]~E(x7051,x7052)+E(f631(x7053,x7054,x7055,x7056,x7057,x7051),f631(x7053,x7054,x7055,x7056,x7057,x7052))
% 184.29/184.11 [706]~E(x7061,x7062)+E(f145(x7061,x7063,x7064,x7065),f145(x7062,x7063,x7064,x7065))
% 184.29/184.11 [707]~E(x7071,x7072)+E(f145(x7073,x7071,x7074,x7075),f145(x7073,x7072,x7074,x7075))
% 184.29/184.11 [708]~E(x7081,x7082)+E(f145(x7083,x7084,x7081,x7085),f145(x7083,x7084,x7082,x7085))
% 184.29/184.11 [709]~E(x7091,x7092)+E(f145(x7093,x7094,x7095,x7091),f145(x7093,x7094,x7095,x7092))
% 184.29/184.11 [710]~E(x7101,x7102)+E(f199(x7101),f199(x7102))
% 184.29/184.11 [711]~E(x7111,x7112)+E(f839(x7111,x7113),f839(x7112,x7113))
% 184.29/184.11 [712]~E(x7121,x7122)+E(f839(x7123,x7121),f839(x7123,x7122))
% 184.29/184.11 [713]~E(x7131,x7132)+E(f322(x7131,x7133),f322(x7132,x7133))
% 184.29/184.11 [714]~E(x7141,x7142)+E(f322(x7143,x7141),f322(x7143,x7142))
% 184.29/184.11 [715]~E(x7151,x7152)+E(f161(x7151,x7153,x7154),f161(x7152,x7153,x7154))
% 184.29/184.11 [716]~E(x7161,x7162)+E(f161(x7163,x7161,x7164),f161(x7163,x7162,x7164))
% 184.29/184.11 [717]~E(x7171,x7172)+E(f161(x7173,x7174,x7171),f161(x7173,x7174,x7172))
% 184.29/184.11 [718]~E(x7181,x7182)+E(f215(x7181,x7183,x7184,x7185),f215(x7182,x7183,x7184,x7185))
% 184.29/184.11 [719]~E(x7191,x7192)+E(f215(x7193,x7191,x7194,x7195),f215(x7193,x7192,x7194,x7195))
% 184.29/184.11 [720]~E(x7201,x7202)+E(f215(x7203,x7204,x7201,x7205),f215(x7203,x7204,x7202,x7205))
% 184.29/184.11 [721]~E(x7211,x7212)+E(f215(x7213,x7214,x7215,x7211),f215(x7213,x7214,x7215,x7212))
% 184.29/184.11 [722]~E(x7221,x7222)+E(f562(x7221,x7223,x7224,x7225),f562(x7222,x7223,x7224,x7225))
% 184.29/184.11 [723]~E(x7231,x7232)+E(f562(x7233,x7231,x7234,x7235),f562(x7233,x7232,x7234,x7235))
% 184.29/184.11 [724]~E(x7241,x7242)+E(f562(x7243,x7244,x7241,x7245),f562(x7243,x7244,x7242,x7245))
% 184.29/184.11 [725]~E(x7251,x7252)+E(f562(x7253,x7254,x7255,x7251),f562(x7253,x7254,x7255,x7252))
% 184.29/184.11 [726]~E(x7261,x7262)+E(f48(x7261),f48(x7262))
% 184.29/184.11 [727]~E(x7271,x7272)+E(f204(x7271,x7273,x7274,x7275),f204(x7272,x7273,x7274,x7275))
% 184.29/184.11 [728]~E(x7281,x7282)+E(f204(x7283,x7281,x7284,x7285),f204(x7283,x7282,x7284,x7285))
% 184.29/184.11 [729]~E(x7291,x7292)+E(f204(x7293,x7294,x7291,x7295),f204(x7293,x7294,x7292,x7295))
% 184.29/184.11 [730]~E(x7301,x7302)+E(f204(x7303,x7304,x7305,x7301),f204(x7303,x7304,x7305,x7302))
% 184.29/184.11 [731]~E(x7311,x7312)+E(f744(x7311,x7313,x7314,x7315),f744(x7312,x7313,x7314,x7315))
% 184.29/184.11 [732]~E(x7321,x7322)+E(f744(x7323,x7321,x7324,x7325),f744(x7323,x7322,x7324,x7325))
% 184.29/184.11 [733]~E(x7331,x7332)+E(f744(x7333,x7334,x7331,x7335),f744(x7333,x7334,x7332,x7335))
% 184.29/184.11 [734]~E(x7341,x7342)+E(f744(x7343,x7344,x7345,x7341),f744(x7343,x7344,x7345,x7342))
% 184.29/184.11 [735]~E(x7351,x7352)+E(f137(x7351,x7353),f137(x7352,x7353))
% 184.29/184.11 [736]~E(x7361,x7362)+E(f137(x7363,x7361),f137(x7363,x7362))
% 184.29/184.11 [737]~E(x7371,x7372)+E(f446(x7371,x7373),f446(x7372,x7373))
% 184.29/184.11 [738]~E(x7381,x7382)+E(f446(x7383,x7381),f446(x7383,x7382))
% 184.29/184.11 [739]~E(x7391,x7392)+E(f655(x7391,x7393,x7394,x7395),f655(x7392,x7393,x7394,x7395))
% 184.29/184.11 [740]~E(x7401,x7402)+E(f655(x7403,x7401,x7404,x7405),f655(x7403,x7402,x7404,x7405))
% 184.29/184.11 [741]~E(x7411,x7412)+E(f655(x7413,x7414,x7411,x7415),f655(x7413,x7414,x7412,x7415))
% 184.29/184.11 [742]~E(x7421,x7422)+E(f655(x7423,x7424,x7425,x7421),f655(x7423,x7424,x7425,x7422))
% 184.29/184.11 [743]~E(x7431,x7432)+E(f202(x7431,x7433,x7434,x7435,x7436,x7437,x7438),f202(x7432,x7433,x7434,x7435,x7436,x7437,x7438))
% 184.29/184.11 [744]~E(x7441,x7442)+E(f202(x7443,x7441,x7444,x7445,x7446,x7447,x7448),f202(x7443,x7442,x7444,x7445,x7446,x7447,x7448))
% 184.29/184.11 [745]~E(x7451,x7452)+E(f202(x7453,x7454,x7451,x7455,x7456,x7457,x7458),f202(x7453,x7454,x7452,x7455,x7456,x7457,x7458))
% 184.29/184.11 [746]~E(x7461,x7462)+E(f202(x7463,x7464,x7465,x7461,x7466,x7467,x7468),f202(x7463,x7464,x7465,x7462,x7466,x7467,x7468))
% 184.29/184.11 [747]~E(x7471,x7472)+E(f202(x7473,x7474,x7475,x7476,x7471,x7477,x7478),f202(x7473,x7474,x7475,x7476,x7472,x7477,x7478))
% 184.29/184.11 [748]~E(x7481,x7482)+E(f202(x7483,x7484,x7485,x7486,x7487,x7481,x7488),f202(x7483,x7484,x7485,x7486,x7487,x7482,x7488))
% 184.29/184.11 [749]~E(x7491,x7492)+E(f202(x7493,x7494,x7495,x7496,x7497,x7498,x7491),f202(x7493,x7494,x7495,x7496,x7497,x7498,x7492))
% 184.29/184.11 [750]~E(x7501,x7502)+E(f160(x7501,x7503,x7504),f160(x7502,x7503,x7504))
% 184.29/184.11 [751]~E(x7511,x7512)+E(f160(x7513,x7511,x7514),f160(x7513,x7512,x7514))
% 184.29/184.11 [752]~E(x7521,x7522)+E(f160(x7523,x7524,x7521),f160(x7523,x7524,x7522))
% 184.29/184.11 [753]~E(x7531,x7532)+E(f536(x7531,x7533,x7534,x7535,x7536),f536(x7532,x7533,x7534,x7535,x7536))
% 184.29/184.11 [754]~E(x7541,x7542)+E(f536(x7543,x7541,x7544,x7545,x7546),f536(x7543,x7542,x7544,x7545,x7546))
% 184.29/184.11 [755]~E(x7551,x7552)+E(f536(x7553,x7554,x7551,x7555,x7556),f536(x7553,x7554,x7552,x7555,x7556))
% 184.29/184.11 [756]~E(x7561,x7562)+E(f536(x7563,x7564,x7565,x7561,x7566),f536(x7563,x7564,x7565,x7562,x7566))
% 184.29/184.11 [757]~E(x7571,x7572)+E(f536(x7573,x7574,x7575,x7576,x7571),f536(x7573,x7574,x7575,x7576,x7572))
% 184.29/184.11 [758]~E(x7581,x7582)+E(f735(x7581,x7583,x7584,x7585,x7586),f735(x7582,x7583,x7584,x7585,x7586))
% 184.29/184.11 [759]~E(x7591,x7592)+E(f735(x7593,x7591,x7594,x7595,x7596),f735(x7593,x7592,x7594,x7595,x7596))
% 184.29/184.11 [760]~E(x7601,x7602)+E(f735(x7603,x7604,x7601,x7605,x7606),f735(x7603,x7604,x7602,x7605,x7606))
% 184.29/184.11 [761]~E(x7611,x7612)+E(f735(x7613,x7614,x7615,x7611,x7616),f735(x7613,x7614,x7615,x7612,x7616))
% 184.29/184.11 [762]~E(x7621,x7622)+E(f735(x7623,x7624,x7625,x7626,x7621),f735(x7623,x7624,x7625,x7626,x7622))
% 184.29/184.11 [763]~E(x7631,x7632)+E(f687(x7631,x7633,x7634,x7635),f687(x7632,x7633,x7634,x7635))
% 184.29/184.11 [764]~E(x7641,x7642)+E(f687(x7643,x7641,x7644,x7645),f687(x7643,x7642,x7644,x7645))
% 184.29/184.11 [765]~E(x7651,x7652)+E(f687(x7653,x7654,x7651,x7655),f687(x7653,x7654,x7652,x7655))
% 184.29/184.11 [766]~E(x7661,x7662)+E(f687(x7663,x7664,x7665,x7661),f687(x7663,x7664,x7665,x7662))
% 184.29/184.11 [767]~E(x7671,x7672)+E(f740(x7671,x7673,x7674,x7675,x7676),f740(x7672,x7673,x7674,x7675,x7676))
% 184.29/184.11 [768]~E(x7681,x7682)+E(f740(x7683,x7681,x7684,x7685,x7686),f740(x7683,x7682,x7684,x7685,x7686))
% 184.29/184.11 [769]~E(x7691,x7692)+E(f740(x7693,x7694,x7691,x7695,x7696),f740(x7693,x7694,x7692,x7695,x7696))
% 184.29/184.11 [770]~E(x7701,x7702)+E(f740(x7703,x7704,x7705,x7701,x7706),f740(x7703,x7704,x7705,x7702,x7706))
% 184.29/184.11 [771]~E(x7711,x7712)+E(f740(x7713,x7714,x7715,x7716,x7711),f740(x7713,x7714,x7715,x7716,x7712))
% 184.29/184.11 [772]~E(x7721,x7722)+E(f362(x7721,x7723,x7724,x7725,x7726),f362(x7722,x7723,x7724,x7725,x7726))
% 184.29/184.11 [773]~E(x7731,x7732)+E(f362(x7733,x7731,x7734,x7735,x7736),f362(x7733,x7732,x7734,x7735,x7736))
% 184.29/184.11 [774]~E(x7741,x7742)+E(f362(x7743,x7744,x7741,x7745,x7746),f362(x7743,x7744,x7742,x7745,x7746))
% 184.29/184.11 [775]~E(x7751,x7752)+E(f362(x7753,x7754,x7755,x7751,x7756),f362(x7753,x7754,x7755,x7752,x7756))
% 184.29/184.11 [776]~E(x7761,x7762)+E(f362(x7763,x7764,x7765,x7766,x7761),f362(x7763,x7764,x7765,x7766,x7762))
% 184.29/184.11 [777]~E(x7771,x7772)+E(f717(x7771,x7773,x7774,x7775,x7776),f717(x7772,x7773,x7774,x7775,x7776))
% 184.29/184.11 [778]~E(x7781,x7782)+E(f717(x7783,x7781,x7784,x7785,x7786),f717(x7783,x7782,x7784,x7785,x7786))
% 184.29/184.11 [779]~E(x7791,x7792)+E(f717(x7793,x7794,x7791,x7795,x7796),f717(x7793,x7794,x7792,x7795,x7796))
% 184.29/184.11 [780]~E(x7801,x7802)+E(f717(x7803,x7804,x7805,x7801,x7806),f717(x7803,x7804,x7805,x7802,x7806))
% 184.29/184.11 [781]~E(x7811,x7812)+E(f717(x7813,x7814,x7815,x7816,x7811),f717(x7813,x7814,x7815,x7816,x7812))
% 184.29/184.11 [782]~E(x7821,x7822)+E(f664(x7821,x7823,x7824,x7825,x7826),f664(x7822,x7823,x7824,x7825,x7826))
% 184.29/184.11 [783]~E(x7831,x7832)+E(f664(x7833,x7831,x7834,x7835,x7836),f664(x7833,x7832,x7834,x7835,x7836))
% 184.29/184.11 [784]~E(x7841,x7842)+E(f664(x7843,x7844,x7841,x7845,x7846),f664(x7843,x7844,x7842,x7845,x7846))
% 184.29/184.11 [785]~E(x7851,x7852)+E(f664(x7853,x7854,x7855,x7851,x7856),f664(x7853,x7854,x7855,x7852,x7856))
% 184.29/184.11 [786]~E(x7861,x7862)+E(f664(x7863,x7864,x7865,x7866,x7861),f664(x7863,x7864,x7865,x7866,x7862))
% 184.29/184.11 [787]~E(x7871,x7872)+E(f564(x7871,x7873,x7874,x7875,x7876,x7877),f564(x7872,x7873,x7874,x7875,x7876,x7877))
% 184.29/184.11 [788]~E(x7881,x7882)+E(f564(x7883,x7881,x7884,x7885,x7886,x7887),f564(x7883,x7882,x7884,x7885,x7886,x7887))
% 184.29/184.11 [789]~E(x7891,x7892)+E(f564(x7893,x7894,x7891,x7895,x7896,x7897),f564(x7893,x7894,x7892,x7895,x7896,x7897))
% 184.29/184.11 [790]~E(x7901,x7902)+E(f564(x7903,x7904,x7905,x7901,x7906,x7907),f564(x7903,x7904,x7905,x7902,x7906,x7907))
% 184.29/184.11 [791]~E(x7911,x7912)+E(f564(x7913,x7914,x7915,x7916,x7911,x7917),f564(x7913,x7914,x7915,x7916,x7912,x7917))
% 184.29/184.11 [792]~E(x7921,x7922)+E(f564(x7923,x7924,x7925,x7926,x7927,x7921),f564(x7923,x7924,x7925,x7926,x7927,x7922))
% 184.29/184.11 [793]~E(x7931,x7932)+E(f144(x7931,x7933,x7934),f144(x7932,x7933,x7934))
% 184.29/184.11 [794]~E(x7941,x7942)+E(f144(x7943,x7941,x7944),f144(x7943,x7942,x7944))
% 184.29/184.11 [795]~E(x7951,x7952)+E(f144(x7953,x7954,x7951),f144(x7953,x7954,x7952))
% 184.29/184.11 [796]~E(x7961,x7962)+E(f753(x7961,x7963,x7964,x7965),f753(x7962,x7963,x7964,x7965))
% 184.29/184.11 [797]~E(x7971,x7972)+E(f753(x7973,x7971,x7974,x7975),f753(x7973,x7972,x7974,x7975))
% 184.29/184.11 [798]~E(x7981,x7982)+E(f753(x7983,x7984,x7981,x7985),f753(x7983,x7984,x7982,x7985))
% 184.29/184.11 [799]~E(x7991,x7992)+E(f753(x7993,x7994,x7995,x7991),f753(x7993,x7994,x7995,x7992))
% 184.29/184.11 [800]~E(x8001,x8002)+E(f786(x8001,x8003,x8004),f786(x8002,x8003,x8004))
% 184.29/184.11 [801]~E(x8011,x8012)+E(f786(x8013,x8011,x8014),f786(x8013,x8012,x8014))
% 184.29/184.11 [802]~E(x8021,x8022)+E(f786(x8023,x8024,x8021),f786(x8023,x8024,x8022))
% 184.29/184.11 [803]~E(x8031,x8032)+E(f725(x8031,x8033,x8034),f725(x8032,x8033,x8034))
% 184.29/184.11 [804]~E(x8041,x8042)+E(f725(x8043,x8041,x8044),f725(x8043,x8042,x8044))
% 184.29/184.11 [805]~E(x8051,x8052)+E(f725(x8053,x8054,x8051),f725(x8053,x8054,x8052))
% 184.29/184.11 [806]~E(x8061,x8062)+E(f654(x8061,x8063,x8064,x8065),f654(x8062,x8063,x8064,x8065))
% 184.29/184.11 [807]~E(x8071,x8072)+E(f654(x8073,x8071,x8074,x8075),f654(x8073,x8072,x8074,x8075))
% 184.29/184.11 [808]~E(x8081,x8082)+E(f654(x8083,x8084,x8081,x8085),f654(x8083,x8084,x8082,x8085))
% 184.29/184.11 [809]~E(x8091,x8092)+E(f654(x8093,x8094,x8095,x8091),f654(x8093,x8094,x8095,x8092))
% 184.29/184.11 [810]~E(x8101,x8102)+E(f397(x8101,x8103,x8104),f397(x8102,x8103,x8104))
% 184.29/184.11 [811]~E(x8111,x8112)+E(f397(x8113,x8111,x8114),f397(x8113,x8112,x8114))
% 184.29/184.11 [812]~E(x8121,x8122)+E(f397(x8123,x8124,x8121),f397(x8123,x8124,x8122))
% 184.29/184.11 [813]~E(x8131,x8132)+E(f634(x8131,x8133),f634(x8132,x8133))
% 184.29/184.11 [814]~E(x8141,x8142)+E(f634(x8143,x8141),f634(x8143,x8142))
% 184.29/184.11 [815]~E(x8151,x8152)+E(f697(x8151,x8153,x8154),f697(x8152,x8153,x8154))
% 184.29/184.11 [816]~E(x8161,x8162)+E(f697(x8163,x8161,x8164),f697(x8163,x8162,x8164))
% 184.29/184.11 [817]~E(x8171,x8172)+E(f697(x8173,x8174,x8171),f697(x8173,x8174,x8172))
% 184.29/184.11 [818]~E(x8181,x8182)+E(f270(x8181,x8183),f270(x8182,x8183))
% 184.29/184.11 [819]~E(x8191,x8192)+E(f270(x8193,x8191),f270(x8193,x8192))
% 184.29/184.11 [820]~E(x8201,x8202)+E(f133(x8201,x8203),f133(x8202,x8203))
% 184.29/184.11 [821]~E(x8211,x8212)+E(f133(x8213,x8211),f133(x8213,x8212))
% 184.29/184.11 [822]~E(x8221,x8222)+E(f301(x8221),f301(x8222))
% 184.29/184.11 [823]~E(x8231,x8232)+E(f350(x8231,x8233),f350(x8232,x8233))
% 184.29/184.11 [824]~E(x8241,x8242)+E(f350(x8243,x8241),f350(x8243,x8242))
% 184.29/184.11 [825]~E(x8251,x8252)+E(f764(x8251,x8253,x8254),f764(x8252,x8253,x8254))
% 184.29/184.11 [826]~E(x8261,x8262)+E(f764(x8263,x8261,x8264),f764(x8263,x8262,x8264))
% 184.29/184.11 [827]~E(x8271,x8272)+E(f764(x8273,x8274,x8271),f764(x8273,x8274,x8272))
% 184.29/184.11 [828]~E(x8281,x8282)+E(f211(x8281,x8283),f211(x8282,x8283))
% 184.29/184.11 [829]~E(x8291,x8292)+E(f211(x8293,x8291),f211(x8293,x8292))
% 184.29/184.11 [830]~E(x8301,x8302)+E(f287(x8301,x8303,x8304),f287(x8302,x8303,x8304))
% 184.29/184.11 [831]~E(x8311,x8312)+E(f287(x8313,x8311,x8314),f287(x8313,x8312,x8314))
% 184.29/184.11 [832]~E(x8321,x8322)+E(f287(x8323,x8324,x8321),f287(x8323,x8324,x8322))
% 184.29/184.11 [833]~E(x8331,x8332)+E(f510(x8331,x8333,x8334,x8335,x8336),f510(x8332,x8333,x8334,x8335,x8336))
% 184.29/184.11 [834]~E(x8341,x8342)+E(f510(x8343,x8341,x8344,x8345,x8346),f510(x8343,x8342,x8344,x8345,x8346))
% 184.29/184.11 [835]~E(x8351,x8352)+E(f510(x8353,x8354,x8351,x8355,x8356),f510(x8353,x8354,x8352,x8355,x8356))
% 184.29/184.11 [836]~E(x8361,x8362)+E(f510(x8363,x8364,x8365,x8361,x8366),f510(x8363,x8364,x8365,x8362,x8366))
% 184.29/184.11 [837]~E(x8371,x8372)+E(f510(x8373,x8374,x8375,x8376,x8371),f510(x8373,x8374,x8375,x8376,x8372))
% 184.29/184.11 [838]~E(x8381,x8382)+E(f742(x8381,x8383,x8384,x8385),f742(x8382,x8383,x8384,x8385))
% 184.29/184.11 [839]~E(x8391,x8392)+E(f742(x8393,x8391,x8394,x8395),f742(x8393,x8392,x8394,x8395))
% 184.29/184.11 [840]~E(x8401,x8402)+E(f742(x8403,x8404,x8401,x8405),f742(x8403,x8404,x8402,x8405))
% 184.29/184.11 [841]~E(x8411,x8412)+E(f742(x8413,x8414,x8415,x8411),f742(x8413,x8414,x8415,x8412))
% 184.29/184.11 [842]~E(x8421,x8422)+E(f662(x8421,x8423,x8424,x8425),f662(x8422,x8423,x8424,x8425))
% 184.29/184.11 [843]~E(x8431,x8432)+E(f662(x8433,x8431,x8434,x8435),f662(x8433,x8432,x8434,x8435))
% 184.29/184.11 [844]~E(x8441,x8442)+E(f662(x8443,x8444,x8441,x8445),f662(x8443,x8444,x8442,x8445))
% 184.29/184.11 [845]~E(x8451,x8452)+E(f662(x8453,x8454,x8455,x8451),f662(x8453,x8454,x8455,x8452))
% 184.29/184.11 [846]~E(x8461,x8462)+E(f450(x8461,x8463,x8464),f450(x8462,x8463,x8464))
% 184.29/184.11 [847]~E(x8471,x8472)+E(f450(x8473,x8471,x8474),f450(x8473,x8472,x8474))
% 184.29/184.11 [848]~E(x8481,x8482)+E(f450(x8483,x8484,x8481),f450(x8483,x8484,x8482))
% 184.29/184.11 [849]~E(x8491,x8492)+E(f403(x8491,x8493),f403(x8492,x8493))
% 184.29/184.11 [850]~E(x8501,x8502)+E(f403(x8503,x8501),f403(x8503,x8502))
% 184.29/184.11 [851]~E(x8511,x8512)+E(f381(x8511,x8513,x8514,x8515),f381(x8512,x8513,x8514,x8515))
% 184.29/184.11 [852]~E(x8521,x8522)+E(f381(x8523,x8521,x8524,x8525),f381(x8523,x8522,x8524,x8525))
% 184.29/184.11 [853]~E(x8531,x8532)+E(f381(x8533,x8534,x8531,x8535),f381(x8533,x8534,x8532,x8535))
% 184.29/184.11 [854]~E(x8541,x8542)+E(f381(x8543,x8544,x8545,x8541),f381(x8543,x8544,x8545,x8542))
% 184.29/184.11 [855]~E(x8551,x8552)+E(f818(x8551,x8553,x8554,x8555),f818(x8552,x8553,x8554,x8555))
% 184.29/184.11 [856]~E(x8561,x8562)+E(f818(x8563,x8561,x8564,x8565),f818(x8563,x8562,x8564,x8565))
% 184.29/184.11 [857]~E(x8571,x8572)+E(f818(x8573,x8574,x8571,x8575),f818(x8573,x8574,x8572,x8575))
% 184.29/184.11 [858]~E(x8581,x8582)+E(f818(x8583,x8584,x8585,x8581),f818(x8583,x8584,x8585,x8582))
% 184.29/184.11 [859]~E(x8591,x8592)+E(f711(x8591,x8593,x8594,x8595),f711(x8592,x8593,x8594,x8595))
% 184.29/184.11 [860]~E(x8601,x8602)+E(f711(x8603,x8601,x8604,x8605),f711(x8603,x8602,x8604,x8605))
% 184.29/184.11 [861]~E(x8611,x8612)+E(f711(x8613,x8614,x8611,x8615),f711(x8613,x8614,x8612,x8615))
% 184.29/184.11 [862]~E(x8621,x8622)+E(f711(x8623,x8624,x8625,x8621),f711(x8623,x8624,x8625,x8622))
% 184.29/184.11 [863]~E(x8631,x8632)+E(f766(x8631,x8633,x8634),f766(x8632,x8633,x8634))
% 184.29/184.11 [864]~E(x8641,x8642)+E(f766(x8643,x8641,x8644),f766(x8643,x8642,x8644))
% 184.29/184.11 [865]~E(x8651,x8652)+E(f766(x8653,x8654,x8651),f766(x8653,x8654,x8652))
% 184.29/184.11 [866]~E(x8661,x8662)+E(f675(x8661,x8663,x8664),f675(x8662,x8663,x8664))
% 184.29/184.11 [867]~E(x8671,x8672)+E(f675(x8673,x8671,x8674),f675(x8673,x8672,x8674))
% 184.29/184.11 [868]~E(x8681,x8682)+E(f675(x8683,x8684,x8681),f675(x8683,x8684,x8682))
% 184.29/184.11 [869]~E(x8691,x8692)+E(f193(x8691,x8693,x8694,x8695),f193(x8692,x8693,x8694,x8695))
% 184.29/184.11 [870]~E(x8701,x8702)+E(f193(x8703,x8701,x8704,x8705),f193(x8703,x8702,x8704,x8705))
% 184.29/184.11 [871]~E(x8711,x8712)+E(f193(x8713,x8714,x8711,x8715),f193(x8713,x8714,x8712,x8715))
% 184.29/184.11 [872]~E(x8721,x8722)+E(f193(x8723,x8724,x8725,x8721),f193(x8723,x8724,x8725,x8722))
% 184.29/184.11 [873]~E(x8731,x8732)+E(f603(x8731,x8733),f603(x8732,x8733))
% 184.29/184.11 [874]~E(x8741,x8742)+E(f603(x8743,x8741),f603(x8743,x8742))
% 184.29/184.11 [875]~E(x8751,x8752)+E(f805(x8751,x8753,x8754),f805(x8752,x8753,x8754))
% 184.29/184.11 [876]~E(x8761,x8762)+E(f805(x8763,x8761,x8764),f805(x8763,x8762,x8764))
% 184.29/184.11 [877]~E(x8771,x8772)+E(f805(x8773,x8774,x8771),f805(x8773,x8774,x8772))
% 184.29/184.11 [878]~E(x8781,x8782)+E(f348(x8781,x8783,x8784,x8785),f348(x8782,x8783,x8784,x8785))
% 184.29/184.11 [879]~E(x8791,x8792)+E(f348(x8793,x8791,x8794,x8795),f348(x8793,x8792,x8794,x8795))
% 184.29/184.11 [880]~E(x8801,x8802)+E(f348(x8803,x8804,x8801,x8805),f348(x8803,x8804,x8802,x8805))
% 184.29/184.11 [881]~E(x8811,x8812)+E(f348(x8813,x8814,x8815,x8811),f348(x8813,x8814,x8815,x8812))
% 184.29/184.11 [882]~E(x8821,x8822)+E(f213(x8821,x8823),f213(x8822,x8823))
% 184.29/184.11 [883]~E(x8831,x8832)+E(f213(x8833,x8831),f213(x8833,x8832))
% 184.29/184.11 [884]~E(x8841,x8842)+E(f733(x8841,x8843,x8844,x8845,x8846),f733(x8842,x8843,x8844,x8845,x8846))
% 184.29/184.11 [885]~E(x8851,x8852)+E(f733(x8853,x8851,x8854,x8855,x8856),f733(x8853,x8852,x8854,x8855,x8856))
% 184.29/184.11 [886]~E(x8861,x8862)+E(f733(x8863,x8864,x8861,x8865,x8866),f733(x8863,x8864,x8862,x8865,x8866))
% 184.29/184.11 [887]~E(x8871,x8872)+E(f733(x8873,x8874,x8875,x8871,x8876),f733(x8873,x8874,x8875,x8872,x8876))
% 184.29/184.11 [888]~E(x8881,x8882)+E(f733(x8883,x8884,x8885,x8886,x8881),f733(x8883,x8884,x8885,x8886,x8882))
% 184.29/184.11 [889]~E(x8891,x8892)+E(f185(x8891,x8893),f185(x8892,x8893))
% 184.29/184.11 [890]~E(x8901,x8902)+E(f185(x8903,x8901),f185(x8903,x8902))
% 184.29/184.11 [891]~E(x8911,x8912)+E(f265(x8911,x8913),f265(x8912,x8913))
% 184.29/184.11 [892]~E(x8921,x8922)+E(f265(x8923,x8921),f265(x8923,x8922))
% 184.29/184.11 [893]~E(x8931,x8932)+E(f120(x8931,x8933),f120(x8932,x8933))
% 184.29/184.11 [894]~E(x8941,x8942)+E(f120(x8943,x8941),f120(x8943,x8942))
% 184.29/184.11 [895]~E(x8951,x8952)+E(f194(x8951,x8953),f194(x8952,x8953))
% 184.29/184.11 [896]~E(x8961,x8962)+E(f194(x8963,x8961),f194(x8963,x8962))
% 184.29/184.11 [897]~E(x8971,x8972)+E(f503(x8971,x8973),f503(x8972,x8973))
% 184.29/184.11 [898]~E(x8981,x8982)+E(f503(x8983,x8981),f503(x8983,x8982))
% 184.29/184.11 [899]~E(x8991,x8992)+E(f123(x8991,x8993),f123(x8992,x8993))
% 184.29/184.11 [900]~E(x9001,x9002)+E(f123(x9003,x9001),f123(x9003,x9002))
% 184.29/184.11 [901]~E(x9011,x9012)+E(f699(x9011,x9013,x9014,x9015,x9016),f699(x9012,x9013,x9014,x9015,x9016))
% 184.29/184.11 [902]~E(x9021,x9022)+E(f699(x9023,x9021,x9024,x9025,x9026),f699(x9023,x9022,x9024,x9025,x9026))
% 184.29/184.11 [903]~E(x9031,x9032)+E(f699(x9033,x9034,x9031,x9035,x9036),f699(x9033,x9034,x9032,x9035,x9036))
% 184.29/184.11 [904]~E(x9041,x9042)+E(f699(x9043,x9044,x9045,x9041,x9046),f699(x9043,x9044,x9045,x9042,x9046))
% 184.29/184.11 [905]~E(x9051,x9052)+E(f699(x9053,x9054,x9055,x9056,x9051),f699(x9053,x9054,x9055,x9056,x9052))
% 184.29/184.11 [906]~E(x9061,x9062)+E(f499(x9061,x9063,x9064,x9065,x9066,x9067,x9068),f499(x9062,x9063,x9064,x9065,x9066,x9067,x9068))
% 184.29/184.11 [907]~E(x9071,x9072)+E(f499(x9073,x9071,x9074,x9075,x9076,x9077,x9078),f499(x9073,x9072,x9074,x9075,x9076,x9077,x9078))
% 184.29/184.11 [908]~E(x9081,x9082)+E(f499(x9083,x9084,x9081,x9085,x9086,x9087,x9088),f499(x9083,x9084,x9082,x9085,x9086,x9087,x9088))
% 184.29/184.11 [909]~E(x9091,x9092)+E(f499(x9093,x9094,x9095,x9091,x9096,x9097,x9098),f499(x9093,x9094,x9095,x9092,x9096,x9097,x9098))
% 184.29/184.11 [910]~E(x9101,x9102)+E(f499(x9103,x9104,x9105,x9106,x9101,x9107,x9108),f499(x9103,x9104,x9105,x9106,x9102,x9107,x9108))
% 184.29/184.11 [911]~E(x9111,x9112)+E(f499(x9113,x9114,x9115,x9116,x9117,x9111,x9118),f499(x9113,x9114,x9115,x9116,x9117,x9112,x9118))
% 184.29/184.11 [912]~E(x9121,x9122)+E(f499(x9123,x9124,x9125,x9126,x9127,x9128,x9121),f499(x9123,x9124,x9125,x9126,x9127,x9128,x9122))
% 184.29/184.11 [913]~E(x9131,x9132)+E(f405(x9131,x9133,x9134),f405(x9132,x9133,x9134))
% 184.29/184.11 [914]~E(x9141,x9142)+E(f405(x9143,x9141,x9144),f405(x9143,x9142,x9144))
% 184.29/184.11 [915]~E(x9151,x9152)+E(f405(x9153,x9154,x9151),f405(x9153,x9154,x9152))
% 184.29/184.11 [916]~E(x9161,x9162)+E(f192(x9161,x9163,x9164,x9165),f192(x9162,x9163,x9164,x9165))
% 184.29/184.11 [917]~E(x9171,x9172)+E(f192(x9173,x9171,x9174,x9175),f192(x9173,x9172,x9174,x9175))
% 184.29/184.11 [918]~E(x9181,x9182)+E(f192(x9183,x9184,x9181,x9185),f192(x9183,x9184,x9182,x9185))
% 184.29/184.11 [919]~E(x9191,x9192)+E(f192(x9193,x9194,x9195,x9191),f192(x9193,x9194,x9195,x9192))
% 184.29/184.11 [920]~E(x9201,x9202)+E(f591(x9201,x9203,x9204,x9205),f591(x9202,x9203,x9204,x9205))
% 184.29/184.11 [921]~E(x9211,x9212)+E(f591(x9213,x9211,x9214,x9215),f591(x9213,x9212,x9214,x9215))
% 184.29/184.11 [922]~E(x9221,x9222)+E(f591(x9223,x9224,x9221,x9225),f591(x9223,x9224,x9222,x9225))
% 184.29/184.11 [923]~E(x9231,x9232)+E(f591(x9233,x9234,x9235,x9231),f591(x9233,x9234,x9235,x9232))
% 184.29/184.11 [924]~E(x9241,x9242)+E(f338(x9241),f338(x9242))
% 184.29/184.11 [925]~E(x9251,x9252)+E(f643(x9251,x9253,x9254,x9255,x9256),f643(x9252,x9253,x9254,x9255,x9256))
% 184.29/184.11 [926]~E(x9261,x9262)+E(f643(x9263,x9261,x9264,x9265,x9266),f643(x9263,x9262,x9264,x9265,x9266))
% 184.29/184.11 [927]~E(x9271,x9272)+E(f643(x9273,x9274,x9271,x9275,x9276),f643(x9273,x9274,x9272,x9275,x9276))
% 184.29/184.11 [928]~E(x9281,x9282)+E(f643(x9283,x9284,x9285,x9281,x9286),f643(x9283,x9284,x9285,x9282,x9286))
% 184.29/184.11 [929]~E(x9291,x9292)+E(f643(x9293,x9294,x9295,x9296,x9291),f643(x9293,x9294,x9295,x9296,x9292))
% 184.29/184.11 [930]~E(x9301,x9302)+E(f514(x9301,x9303,x9304,x9305,x9306),f514(x9302,x9303,x9304,x9305,x9306))
% 184.29/184.11 [931]~E(x9311,x9312)+E(f514(x9313,x9311,x9314,x9315,x9316),f514(x9313,x9312,x9314,x9315,x9316))
% 184.29/184.11 [932]~E(x9321,x9322)+E(f514(x9323,x9324,x9321,x9325,x9326),f514(x9323,x9324,x9322,x9325,x9326))
% 184.29/184.11 [933]~E(x9331,x9332)+E(f514(x9333,x9334,x9335,x9331,x9336),f514(x9333,x9334,x9335,x9332,x9336))
% 184.29/184.11 [934]~E(x9341,x9342)+E(f514(x9343,x9344,x9345,x9346,x9341),f514(x9343,x9344,x9345,x9346,x9342))
% 184.29/184.11 [935]~E(x9351,x9352)+E(f507(x9351,x9353,x9354),f507(x9352,x9353,x9354))
% 184.29/184.11 [936]~E(x9361,x9362)+E(f507(x9363,x9361,x9364),f507(x9363,x9362,x9364))
% 184.29/184.11 [937]~E(x9371,x9372)+E(f507(x9373,x9374,x9371),f507(x9373,x9374,x9372))
% 184.29/184.11 [938]~E(x9381,x9382)+E(f472(x9381,x9383,x9384),f472(x9382,x9383,x9384))
% 184.29/184.11 [939]~E(x9391,x9392)+E(f472(x9393,x9391,x9394),f472(x9393,x9392,x9394))
% 184.29/184.11 [940]~E(x9401,x9402)+E(f472(x9403,x9404,x9401),f472(x9403,x9404,x9402))
% 184.29/184.11 [941]~E(x9411,x9412)+E(f734(x9411,x9413,x9414,x9415,x9416),f734(x9412,x9413,x9414,x9415,x9416))
% 184.29/184.11 [942]~E(x9421,x9422)+E(f734(x9423,x9421,x9424,x9425,x9426),f734(x9423,x9422,x9424,x9425,x9426))
% 184.29/184.11 [943]~E(x9431,x9432)+E(f734(x9433,x9434,x9431,x9435,x9436),f734(x9433,x9434,x9432,x9435,x9436))
% 184.29/184.11 [944]~E(x9441,x9442)+E(f734(x9443,x9444,x9445,x9441,x9446),f734(x9443,x9444,x9445,x9442,x9446))
% 184.29/184.11 [945]~E(x9451,x9452)+E(f734(x9453,x9454,x9455,x9456,x9451),f734(x9453,x9454,x9455,x9456,x9452))
% 184.29/184.11 [946]~E(x9461,x9462)+E(f69(x9461,x9463,x9464),f69(x9462,x9463,x9464))
% 184.29/184.11 [947]~E(x9471,x9472)+E(f69(x9473,x9471,x9474),f69(x9473,x9472,x9474))
% 184.29/184.11 [948]~E(x9481,x9482)+E(f69(x9483,x9484,x9481),f69(x9483,x9484,x9482))
% 184.29/184.11 [949]~E(x9491,x9492)+E(f442(x9491,x9493,x9494,x9495),f442(x9492,x9493,x9494,x9495))
% 184.29/184.11 [950]~E(x9501,x9502)+E(f442(x9503,x9501,x9504,x9505),f442(x9503,x9502,x9504,x9505))
% 184.29/184.11 [951]~E(x9511,x9512)+E(f442(x9513,x9514,x9511,x9515),f442(x9513,x9514,x9512,x9515))
% 184.29/184.11 [952]~E(x9521,x9522)+E(f442(x9523,x9524,x9525,x9521),f442(x9523,x9524,x9525,x9522))
% 184.29/184.11 [953]~E(x9531,x9532)+E(f271(x9531,x9533,x9534,x9535),f271(x9532,x9533,x9534,x9535))
% 184.29/184.11 [954]~E(x9541,x9542)+E(f271(x9543,x9541,x9544,x9545),f271(x9543,x9542,x9544,x9545))
% 184.29/184.11 [955]~E(x9551,x9552)+E(f271(x9553,x9554,x9551,x9555),f271(x9553,x9554,x9552,x9555))
% 184.29/184.11 [956]~E(x9561,x9562)+E(f271(x9563,x9564,x9565,x9561),f271(x9563,x9564,x9565,x9562))
% 184.29/184.11 [957]~E(x9571,x9572)+E(f276(x9571),f276(x9572))
% 184.29/184.11 [958]~E(x9581,x9582)+E(f484(x9581,x9583,x9584,x9585,x9586),f484(x9582,x9583,x9584,x9585,x9586))
% 184.29/184.11 [959]~E(x9591,x9592)+E(f484(x9593,x9591,x9594,x9595,x9596),f484(x9593,x9592,x9594,x9595,x9596))
% 184.29/184.11 [960]~E(x9601,x9602)+E(f484(x9603,x9604,x9601,x9605,x9606),f484(x9603,x9604,x9602,x9605,x9606))
% 184.29/184.11 [961]~E(x9611,x9612)+E(f484(x9613,x9614,x9615,x9611,x9616),f484(x9613,x9614,x9615,x9612,x9616))
% 184.29/184.11 [962]~E(x9621,x9622)+E(f484(x9623,x9624,x9625,x9626,x9621),f484(x9623,x9624,x9625,x9626,x9622))
% 184.29/184.11 [963]~E(x9631,x9632)+E(f176(x9631),f176(x9632))
% 184.29/184.11 [964]~E(x9641,x9642)+E(f426(x9641,x9643,x9644,x9645,x9646,x9647,x9648,x9649,x96410),f426(x9642,x9643,x9644,x9645,x9646,x9647,x9648,x9649,x96410))
% 184.29/184.11 [965]~E(x9651,x9652)+E(f426(x9653,x9651,x9654,x9655,x9656,x9657,x9658,x9659,x96510),f426(x9653,x9652,x9654,x9655,x9656,x9657,x9658,x9659,x96510))
% 184.29/184.11 [966]~E(x9661,x9662)+E(f426(x9663,x9664,x9661,x9665,x9666,x9667,x9668,x9669,x96610),f426(x9663,x9664,x9662,x9665,x9666,x9667,x9668,x9669,x96610))
% 184.29/184.11 [967]~E(x9671,x9672)+E(f426(x9673,x9674,x9675,x9671,x9676,x9677,x9678,x9679,x96710),f426(x9673,x9674,x9675,x9672,x9676,x9677,x9678,x9679,x96710))
% 184.29/184.11 [968]~E(x9681,x9682)+E(f426(x9683,x9684,x9685,x9686,x9681,x9687,x9688,x9689,x96810),f426(x9683,x9684,x9685,x9686,x9682,x9687,x9688,x9689,x96810))
% 184.29/184.11 [969]~E(x9691,x9692)+E(f426(x9693,x9694,x9695,x9696,x9697,x9691,x9698,x9699,x96910),f426(x9693,x9694,x9695,x9696,x9697,x9692,x9698,x9699,x96910))
% 184.29/184.11 [970]~E(x9701,x9702)+E(f426(x9703,x9704,x9705,x9706,x9707,x9708,x9701,x9709,x97010),f426(x9703,x9704,x9705,x9706,x9707,x9708,x9702,x9709,x97010))
% 184.29/184.11 [971]~E(x9711,x9712)+E(f426(x9713,x9714,x9715,x9716,x9717,x9718,x9719,x9711,x97110),f426(x9713,x9714,x9715,x9716,x9717,x9718,x9719,x9712,x97110))
% 184.29/184.11 [972]~E(x9721,x9722)+E(f426(x9723,x9724,x9725,x9726,x9727,x9728,x9729,x97210,x9721),f426(x9723,x9724,x9725,x9726,x9727,x9728,x9729,x97210,x9722))
% 184.29/184.11 [973]~E(x9731,x9732)+E(f757(x9731,x9733,x9734,x9735),f757(x9732,x9733,x9734,x9735))
% 184.29/184.11 [974]~E(x9741,x9742)+E(f757(x9743,x9741,x9744,x9745),f757(x9743,x9742,x9744,x9745))
% 184.29/184.11 [975]~E(x9751,x9752)+E(f757(x9753,x9754,x9751,x9755),f757(x9753,x9754,x9752,x9755))
% 184.29/184.11 [976]~E(x9761,x9762)+E(f757(x9763,x9764,x9765,x9761),f757(x9763,x9764,x9765,x9762))
% 184.29/184.11 [977]~E(x9771,x9772)+E(f739(x9771,x9773,x9774,x9775),f739(x9772,x9773,x9774,x9775))
% 184.29/184.11 [978]~E(x9781,x9782)+E(f739(x9783,x9781,x9784,x9785),f739(x9783,x9782,x9784,x9785))
% 184.29/184.11 [979]~E(x9791,x9792)+E(f739(x9793,x9794,x9791,x9795),f739(x9793,x9794,x9792,x9795))
% 184.29/184.11 [980]~E(x9801,x9802)+E(f739(x9803,x9804,x9805,x9801),f739(x9803,x9804,x9805,x9802))
% 184.29/184.11 [981]~E(x9811,x9812)+E(f749(x9811,x9813,x9814),f749(x9812,x9813,x9814))
% 184.29/184.11 [982]~E(x9821,x9822)+E(f749(x9823,x9821,x9824),f749(x9823,x9822,x9824))
% 184.29/184.11 [983]~E(x9831,x9832)+E(f749(x9833,x9834,x9831),f749(x9833,x9834,x9832))
% 184.29/184.11 [984]~E(x9841,x9842)+E(f537(x9841,x9843,x9844,x9845),f537(x9842,x9843,x9844,x9845))
% 184.29/184.11 [985]~E(x9851,x9852)+E(f537(x9853,x9851,x9854,x9855),f537(x9853,x9852,x9854,x9855))
% 184.29/184.11 [986]~E(x9861,x9862)+E(f537(x9863,x9864,x9861,x9865),f537(x9863,x9864,x9862,x9865))
% 184.29/184.11 [987]~E(x9871,x9872)+E(f537(x9873,x9874,x9875,x9871),f537(x9873,x9874,x9875,x9872))
% 184.29/184.11 [988]~E(x9881,x9882)+E(f246(x9881,x9883,x9884),f246(x9882,x9883,x9884))
% 184.29/184.11 [989]~E(x9891,x9892)+E(f246(x9893,x9891,x9894),f246(x9893,x9892,x9894))
% 184.29/184.11 [990]~E(x9901,x9902)+E(f246(x9903,x9904,x9901),f246(x9903,x9904,x9902))
% 184.29/184.11 [991]~E(x9911,x9912)+E(f54(x9911,x9913),f54(x9912,x9913))
% 184.29/184.11 [992]~E(x9921,x9922)+E(f54(x9923,x9921),f54(x9923,x9922))
% 184.29/184.11 [993]~E(x9931,x9932)+E(f506(x9931,x9933,x9934),f506(x9932,x9933,x9934))
% 184.29/184.11 [994]~E(x9941,x9942)+E(f506(x9943,x9941,x9944),f506(x9943,x9942,x9944))
% 184.29/184.11 [995]~E(x9951,x9952)+E(f506(x9953,x9954,x9951),f506(x9953,x9954,x9952))
% 184.29/184.11 [996]~E(x9961,x9962)+E(f819(x9961,x9963,x9964,x9965),f819(x9962,x9963,x9964,x9965))
% 184.29/184.11 [997]~E(x9971,x9972)+E(f819(x9973,x9971,x9974,x9975),f819(x9973,x9972,x9974,x9975))
% 184.29/184.11 [998]~E(x9981,x9982)+E(f819(x9983,x9984,x9981,x9985),f819(x9983,x9984,x9982,x9985))
% 184.29/184.11 [999]~E(x9991,x9992)+E(f819(x9993,x9994,x9995,x9991),f819(x9993,x9994,x9995,x9992))
% 184.29/184.11 [1000]~E(x10001,x10002)+E(f96(x10001,x10003,x10004,x10005),f96(x10002,x10003,x10004,x10005))
% 184.29/184.11 [1001]~E(x10011,x10012)+E(f96(x10013,x10011,x10014,x10015),f96(x10013,x10012,x10014,x10015))
% 184.29/184.11 [1002]~E(x10021,x10022)+E(f96(x10023,x10024,x10021,x10025),f96(x10023,x10024,x10022,x10025))
% 184.29/184.11 [1003]~E(x10031,x10032)+E(f96(x10033,x10034,x10035,x10031),f96(x10033,x10034,x10035,x10032))
% 184.29/184.11 [1004]~E(x10041,x10042)+E(f254(x10041,x10043,x10044,x10045,x10046),f254(x10042,x10043,x10044,x10045,x10046))
% 184.29/184.11 [1005]~E(x10051,x10052)+E(f254(x10053,x10051,x10054,x10055,x10056),f254(x10053,x10052,x10054,x10055,x10056))
% 184.29/184.11 [1006]~E(x10061,x10062)+E(f254(x10063,x10064,x10061,x10065,x10066),f254(x10063,x10064,x10062,x10065,x10066))
% 184.29/184.11 [1007]~E(x10071,x10072)+E(f254(x10073,x10074,x10075,x10071,x10076),f254(x10073,x10074,x10075,x10072,x10076))
% 184.29/184.11 [1008]~E(x10081,x10082)+E(f254(x10083,x10084,x10085,x10086,x10081),f254(x10083,x10084,x10085,x10086,x10082))
% 184.29/184.11 [1009]~E(x10091,x10092)+E(f554(x10091),f554(x10092))
% 184.29/184.11 [1010]~E(x10101,x10102)+E(f372(x10101,x10103,x10104,x10105,x10106,x10107,x10108,x10109),f372(x10102,x10103,x10104,x10105,x10106,x10107,x10108,x10109))
% 184.29/184.11 [1011]~E(x10111,x10112)+E(f372(x10113,x10111,x10114,x10115,x10116,x10117,x10118,x10119),f372(x10113,x10112,x10114,x10115,x10116,x10117,x10118,x10119))
% 184.29/184.11 [1012]~E(x10121,x10122)+E(f372(x10123,x10124,x10121,x10125,x10126,x10127,x10128,x10129),f372(x10123,x10124,x10122,x10125,x10126,x10127,x10128,x10129))
% 184.29/184.11 [1013]~E(x10131,x10132)+E(f372(x10133,x10134,x10135,x10131,x10136,x10137,x10138,x10139),f372(x10133,x10134,x10135,x10132,x10136,x10137,x10138,x10139))
% 184.29/184.11 [1014]~E(x10141,x10142)+E(f372(x10143,x10144,x10145,x10146,x10141,x10147,x10148,x10149),f372(x10143,x10144,x10145,x10146,x10142,x10147,x10148,x10149))
% 184.29/184.11 [1015]~E(x10151,x10152)+E(f372(x10153,x10154,x10155,x10156,x10157,x10151,x10158,x10159),f372(x10153,x10154,x10155,x10156,x10157,x10152,x10158,x10159))
% 184.29/184.11 [1016]~E(x10161,x10162)+E(f372(x10163,x10164,x10165,x10166,x10167,x10168,x10161,x10169),f372(x10163,x10164,x10165,x10166,x10167,x10168,x10162,x10169))
% 184.29/184.11 [1017]~E(x10171,x10172)+E(f372(x10173,x10174,x10175,x10176,x10177,x10178,x10179,x10171),f372(x10173,x10174,x10175,x10176,x10177,x10178,x10179,x10172))
% 184.29/184.11 [1018]~E(x10181,x10182)+E(f413(x10181,x10183,x10184,x10185,x10186),f413(x10182,x10183,x10184,x10185,x10186))
% 184.29/184.11 [1019]~E(x10191,x10192)+E(f413(x10193,x10191,x10194,x10195,x10196),f413(x10193,x10192,x10194,x10195,x10196))
% 184.29/184.11 [1020]~E(x10201,x10202)+E(f413(x10203,x10204,x10201,x10205,x10206),f413(x10203,x10204,x10202,x10205,x10206))
% 184.29/184.11 [1021]~E(x10211,x10212)+E(f413(x10213,x10214,x10215,x10211,x10216),f413(x10213,x10214,x10215,x10212,x10216))
% 184.29/184.11 [1022]~E(x10221,x10222)+E(f413(x10223,x10224,x10225,x10226,x10221),f413(x10223,x10224,x10225,x10226,x10222))
% 184.29/184.11 [1023]~E(x10231,x10232)+E(f520(x10231),f520(x10232))
% 184.29/184.11 [1024]~E(x10241,x10242)+E(f724(x10241,x10243,x10244),f724(x10242,x10243,x10244))
% 184.29/184.11 [1025]~E(x10251,x10252)+E(f724(x10253,x10251,x10254),f724(x10253,x10252,x10254))
% 184.29/184.11 [1026]~E(x10261,x10262)+E(f724(x10263,x10264,x10261),f724(x10263,x10264,x10262))
% 184.29/184.11 [1027]~E(x10271,x10272)+E(f653(x10271,x10273),f653(x10272,x10273))
% 184.29/184.11 [1028]~E(x10281,x10282)+E(f653(x10283,x10281),f653(x10283,x10282))
% 184.29/184.11 [1029]~E(x10291,x10292)+E(f787(x10291,x10293,x10294),f787(x10292,x10293,x10294))
% 184.29/184.11 [1030]~E(x10301,x10302)+E(f787(x10303,x10301,x10304),f787(x10303,x10302,x10304))
% 184.29/184.11 [1031]~E(x10311,x10312)+E(f787(x10313,x10314,x10311),f787(x10313,x10314,x10312))
% 184.29/184.11 [1032]~E(x10321,x10322)+E(f802(x10321,x10323,x10324),f802(x10322,x10323,x10324))
% 184.29/184.11 [1033]~E(x10331,x10332)+E(f802(x10333,x10331,x10334),f802(x10333,x10332,x10334))
% 184.29/184.11 [1034]~E(x10341,x10342)+E(f802(x10343,x10344,x10341),f802(x10343,x10344,x10342))
% 184.29/184.11 [1035]~E(x10351,x10352)+E(f231(x10351),f231(x10352))
% 184.29/184.11 [1036]~E(x10361,x10362)+E(f249(x10361,x10363,x10364,x10365),f249(x10362,x10363,x10364,x10365))
% 184.29/184.11 [1037]~E(x10371,x10372)+E(f249(x10373,x10371,x10374,x10375),f249(x10373,x10372,x10374,x10375))
% 184.29/184.11 [1038]~E(x10381,x10382)+E(f249(x10383,x10384,x10381,x10385),f249(x10383,x10384,x10382,x10385))
% 184.29/184.11 [1039]~E(x10391,x10392)+E(f249(x10393,x10394,x10395,x10391),f249(x10393,x10394,x10395,x10392))
% 184.29/184.11 [1040]~E(x10401,x10402)+E(f630(x10401,x10403,x10404,x10405,x10406,x10407),f630(x10402,x10403,x10404,x10405,x10406,x10407))
% 184.29/184.11 [1041]~E(x10411,x10412)+E(f630(x10413,x10411,x10414,x10415,x10416,x10417),f630(x10413,x10412,x10414,x10415,x10416,x10417))
% 184.29/184.11 [1042]~E(x10421,x10422)+E(f630(x10423,x10424,x10421,x10425,x10426,x10427),f630(x10423,x10424,x10422,x10425,x10426,x10427))
% 184.29/184.11 [1043]~E(x10431,x10432)+E(f630(x10433,x10434,x10435,x10431,x10436,x10437),f630(x10433,x10434,x10435,x10432,x10436,x10437))
% 184.29/184.11 [1044]~E(x10441,x10442)+E(f630(x10443,x10444,x10445,x10446,x10441,x10447),f630(x10443,x10444,x10445,x10446,x10442,x10447))
% 184.29/184.11 [1045]~E(x10451,x10452)+E(f630(x10453,x10454,x10455,x10456,x10457,x10451),f630(x10453,x10454,x10455,x10456,x10457,x10452))
% 184.29/184.11 [1046]~E(x10461,x10462)+E(f812(x10461,x10463,x10464),f812(x10462,x10463,x10464))
% 184.29/184.11 [1047]~E(x10471,x10472)+E(f812(x10473,x10471,x10474),f812(x10473,x10472,x10474))
% 184.29/184.11 [1048]~E(x10481,x10482)+E(f812(x10483,x10484,x10481),f812(x10483,x10484,x10482))
% 184.29/184.11 [1049]~E(x10491,x10492)+E(f566(x10491,x10493),f566(x10492,x10493))
% 184.29/184.11 [1050]~E(x10501,x10502)+E(f566(x10503,x10501),f566(x10503,x10502))
% 184.29/184.11 [1051]~E(x10511,x10512)+E(f156(x10511,x10513,x10514),f156(x10512,x10513,x10514))
% 184.29/184.11 [1052]~E(x10521,x10522)+E(f156(x10523,x10521,x10524),f156(x10523,x10522,x10524))
% 184.29/184.11 [1053]~E(x10531,x10532)+E(f156(x10533,x10534,x10531),f156(x10533,x10534,x10532))
% 184.29/184.11 [1054]~E(x10541,x10542)+E(f414(x10541,x10543,x10544),f414(x10542,x10543,x10544))
% 184.29/184.11 [1055]~E(x10551,x10552)+E(f414(x10553,x10551,x10554),f414(x10553,x10552,x10554))
% 184.29/184.11 [1056]~E(x10561,x10562)+E(f414(x10563,x10564,x10561),f414(x10563,x10564,x10562))
% 184.29/184.11 [1057]~E(x10571,x10572)+E(f398(x10571,x10573,x10574,x10575),f398(x10572,x10573,x10574,x10575))
% 184.29/184.11 [1058]~E(x10581,x10582)+E(f398(x10583,x10581,x10584,x10585),f398(x10583,x10582,x10584,x10585))
% 184.29/184.11 [1059]~E(x10591,x10592)+E(f398(x10593,x10594,x10591,x10595),f398(x10593,x10594,x10592,x10595))
% 184.29/184.11 [1060]~E(x10601,x10602)+E(f398(x10603,x10604,x10605,x10601),f398(x10603,x10604,x10605,x10602))
% 184.29/184.11 [1061]~E(x10611,x10612)+E(f482(x10611,x10613,x10614),f482(x10612,x10613,x10614))
% 184.29/184.11 [1062]~E(x10621,x10622)+E(f482(x10623,x10621,x10624),f482(x10623,x10622,x10624))
% 184.29/184.11 [1063]~E(x10631,x10632)+E(f482(x10633,x10634,x10631),f482(x10633,x10634,x10632))
% 184.29/184.11 [1064]~E(x10641,x10642)+E(f830(x10641,x10643,x10644),f830(x10642,x10643,x10644))
% 184.29/184.11 [1065]~E(x10651,x10652)+E(f830(x10653,x10651,x10654),f830(x10653,x10652,x10654))
% 184.29/184.11 [1066]~E(x10661,x10662)+E(f830(x10663,x10664,x10661),f830(x10663,x10664,x10662))
% 184.29/184.11 [1067]~E(x10671,x10672)+E(f821(x10671,x10673,x10674),f821(x10672,x10673,x10674))
% 184.29/184.11 [1068]~E(x10681,x10682)+E(f821(x10683,x10681,x10684),f821(x10683,x10682,x10684))
% 184.29/184.11 [1069]~E(x10691,x10692)+E(f821(x10693,x10694,x10691),f821(x10693,x10694,x10692))
% 184.29/184.11 [1070]~E(x10701,x10702)+E(f532(x10701,x10703,x10704),f532(x10702,x10703,x10704))
% 184.29/184.11 [1071]~E(x10711,x10712)+E(f532(x10713,x10711,x10714),f532(x10713,x10712,x10714))
% 184.29/184.11 [1072]~E(x10721,x10722)+E(f532(x10723,x10724,x10721),f532(x10723,x10724,x10722))
% 184.29/184.11 [1073]~E(x10731,x10732)+E(f360(x10731,x10733,x10734,x10735,x10736),f360(x10732,x10733,x10734,x10735,x10736))
% 184.29/184.11 [1074]~E(x10741,x10742)+E(f360(x10743,x10741,x10744,x10745,x10746),f360(x10743,x10742,x10744,x10745,x10746))
% 184.29/184.11 [1075]~E(x10751,x10752)+E(f360(x10753,x10754,x10751,x10755,x10756),f360(x10753,x10754,x10752,x10755,x10756))
% 184.29/184.11 [1076]~E(x10761,x10762)+E(f360(x10763,x10764,x10765,x10761,x10766),f360(x10763,x10764,x10765,x10762,x10766))
% 184.29/184.11 [1077]~E(x10771,x10772)+E(f360(x10773,x10774,x10775,x10776,x10771),f360(x10773,x10774,x10775,x10776,x10772))
% 184.29/184.11 [1078]~E(x10781,x10782)+E(f652(x10781,x10783,x10784,x10785),f652(x10782,x10783,x10784,x10785))
% 184.29/184.11 [1079]~E(x10791,x10792)+E(f652(x10793,x10791,x10794,x10795),f652(x10793,x10792,x10794,x10795))
% 184.29/184.11 [1080]~E(x10801,x10802)+E(f652(x10803,x10804,x10801,x10805),f652(x10803,x10804,x10802,x10805))
% 184.29/184.11 [1081]~E(x10811,x10812)+E(f652(x10813,x10814,x10815,x10811),f652(x10813,x10814,x10815,x10812))
% 184.29/184.11 [1082]~E(x10821,x10822)+E(f260(x10821,x10823),f260(x10822,x10823))
% 184.29/184.11 [1083]~E(x10831,x10832)+E(f260(x10833,x10831),f260(x10833,x10832))
% 184.29/184.11 [1084]~E(x10841,x10842)+E(f568(x10841,x10843,x10844),f568(x10842,x10843,x10844))
% 184.29/184.11 [1085]~E(x10851,x10852)+E(f568(x10853,x10851,x10854),f568(x10853,x10852,x10854))
% 184.29/184.11 [1086]~E(x10861,x10862)+E(f568(x10863,x10864,x10861),f568(x10863,x10864,x10862))
% 184.29/184.11 [1087]~E(x10871,x10872)+E(f38(x10871,x10873,x10874,x10875,x10876,x10877,x10878,x10879,x108710,x108711),f38(x10872,x10873,x10874,x10875,x10876,x10877,x10878,x10879,x108710,x108711))
% 184.29/184.11 [1088]~E(x10881,x10882)+E(f38(x10883,x10881,x10884,x10885,x10886,x10887,x10888,x10889,x108810,x108811),f38(x10883,x10882,x10884,x10885,x10886,x10887,x10888,x10889,x108810,x108811))
% 184.29/184.11 [1089]~E(x10891,x10892)+E(f38(x10893,x10894,x10891,x10895,x10896,x10897,x10898,x10899,x108910,x108911),f38(x10893,x10894,x10892,x10895,x10896,x10897,x10898,x10899,x108910,x108911))
% 184.29/184.11 [1090]~E(x10901,x10902)+E(f38(x10903,x10904,x10905,x10901,x10906,x10907,x10908,x10909,x109010,x109011),f38(x10903,x10904,x10905,x10902,x10906,x10907,x10908,x10909,x109010,x109011))
% 184.29/184.11 [1091]~E(x10911,x10912)+E(f38(x10913,x10914,x10915,x10916,x10911,x10917,x10918,x10919,x109110,x109111),f38(x10913,x10914,x10915,x10916,x10912,x10917,x10918,x10919,x109110,x109111))
% 184.29/184.11 [1092]~E(x10921,x10922)+E(f38(x10923,x10924,x10925,x10926,x10927,x10921,x10928,x10929,x109210,x109211),f38(x10923,x10924,x10925,x10926,x10927,x10922,x10928,x10929,x109210,x109211))
% 184.29/184.11 [1093]~E(x10931,x10932)+E(f38(x10933,x10934,x10935,x10936,x10937,x10938,x10931,x10939,x109310,x109311),f38(x10933,x10934,x10935,x10936,x10937,x10938,x10932,x10939,x109310,x109311))
% 184.29/184.11 [1094]~E(x10941,x10942)+E(f38(x10943,x10944,x10945,x10946,x10947,x10948,x10949,x10941,x109410,x109411),f38(x10943,x10944,x10945,x10946,x10947,x10948,x10949,x10942,x109410,x109411))
% 184.29/184.11 [1095]~E(x10951,x10952)+E(f38(x10953,x10954,x10955,x10956,x10957,x10958,x10959,x109510,x10951,x109511),f38(x10953,x10954,x10955,x10956,x10957,x10958,x10959,x109510,x10952,x109511))
% 184.29/184.11 [1096]~E(x10961,x10962)+E(f38(x10963,x10964,x10965,x10966,x10967,x10968,x10969,x109610,x109611,x10961),f38(x10963,x10964,x10965,x10966,x10967,x10968,x10969,x109610,x109611,x10962))
% 184.29/184.11 [1097]~E(x10971,x10972)+E(f275(x10971,x10973,x10974,x10975),f275(x10972,x10973,x10974,x10975))
% 184.29/184.11 [1098]~E(x10981,x10982)+E(f275(x10983,x10981,x10984,x10985),f275(x10983,x10982,x10984,x10985))
% 184.29/184.11 [1099]~E(x10991,x10992)+E(f275(x10993,x10994,x10991,x10995),f275(x10993,x10994,x10992,x10995))
% 184.29/184.11 [1100]~E(x11001,x11002)+E(f275(x11003,x11004,x11005,x11001),f275(x11003,x11004,x11005,x11002))
% 184.29/184.11 [1101]~E(x11011,x11012)+E(f712(x11011,x11013,x11014,x11015,x11016,x11017,x11018),f712(x11012,x11013,x11014,x11015,x11016,x11017,x11018))
% 184.29/184.11 [1102]~E(x11021,x11022)+E(f712(x11023,x11021,x11024,x11025,x11026,x11027,x11028),f712(x11023,x11022,x11024,x11025,x11026,x11027,x11028))
% 184.29/184.11 [1103]~E(x11031,x11032)+E(f712(x11033,x11034,x11031,x11035,x11036,x11037,x11038),f712(x11033,x11034,x11032,x11035,x11036,x11037,x11038))
% 184.29/184.11 [1104]~E(x11041,x11042)+E(f712(x11043,x11044,x11045,x11041,x11046,x11047,x11048),f712(x11043,x11044,x11045,x11042,x11046,x11047,x11048))
% 184.29/184.11 [1105]~E(x11051,x11052)+E(f712(x11053,x11054,x11055,x11056,x11051,x11057,x11058),f712(x11053,x11054,x11055,x11056,x11052,x11057,x11058))
% 184.29/184.11 [1106]~E(x11061,x11062)+E(f712(x11063,x11064,x11065,x11066,x11067,x11061,x11068),f712(x11063,x11064,x11065,x11066,x11067,x11062,x11068))
% 184.29/184.11 [1107]~E(x11071,x11072)+E(f712(x11073,x11074,x11075,x11076,x11077,x11078,x11071),f712(x11073,x11074,x11075,x11076,x11077,x11078,x11072))
% 184.29/184.11 [1108]~E(x11081,x11082)+E(f642(x11081,x11083,x11084,x11085,x11086),f642(x11082,x11083,x11084,x11085,x11086))
% 184.29/184.11 [1109]~E(x11091,x11092)+E(f642(x11093,x11091,x11094,x11095,x11096),f642(x11093,x11092,x11094,x11095,x11096))
% 184.29/184.11 [1110]~E(x11101,x11102)+E(f642(x11103,x11104,x11101,x11105,x11106),f642(x11103,x11104,x11102,x11105,x11106))
% 184.29/184.11 [1111]~E(x11111,x11112)+E(f642(x11113,x11114,x11115,x11111,x11116),f642(x11113,x11114,x11115,x11112,x11116))
% 184.29/184.11 [1112]~E(x11121,x11122)+E(f642(x11123,x11124,x11125,x11126,x11121),f642(x11123,x11124,x11125,x11126,x11122))
% 184.29/184.11 [1113]~E(x11131,x11132)+E(f416(x11131,x11133,x11134,x11135),f416(x11132,x11133,x11134,x11135))
% 184.29/184.11 [1114]~E(x11141,x11142)+E(f416(x11143,x11141,x11144,x11145),f416(x11143,x11142,x11144,x11145))
% 184.29/184.11 [1115]~E(x11151,x11152)+E(f416(x11153,x11154,x11151,x11155),f416(x11153,x11154,x11152,x11155))
% 184.29/184.11 [1116]~E(x11161,x11162)+E(f416(x11163,x11164,x11165,x11161),f416(x11163,x11164,x11165,x11162))
% 184.29/184.11 [1117]~E(x11171,x11172)+E(f359(x11171,x11173,x11174,x11175,x11176),f359(x11172,x11173,x11174,x11175,x11176))
% 184.29/184.11 [1118]~E(x11181,x11182)+E(f359(x11183,x11181,x11184,x11185,x11186),f359(x11183,x11182,x11184,x11185,x11186))
% 184.29/184.11 [1119]~E(x11191,x11192)+E(f359(x11193,x11194,x11191,x11195,x11196),f359(x11193,x11194,x11192,x11195,x11196))
% 184.29/184.11 [1120]~E(x11201,x11202)+E(f359(x11203,x11204,x11205,x11201,x11206),f359(x11203,x11204,x11205,x11202,x11206))
% 184.29/184.11 [1121]~E(x11211,x11212)+E(f359(x11213,x11214,x11215,x11216,x11211),f359(x11213,x11214,x11215,x11216,x11212))
% 184.29/184.11 [1122]~E(x11221,x11222)+E(f813(x11221,x11223,x11224,x11225,x11226),f813(x11222,x11223,x11224,x11225,x11226))
% 184.29/184.11 [1123]~E(x11231,x11232)+E(f813(x11233,x11231,x11234,x11235,x11236),f813(x11233,x11232,x11234,x11235,x11236))
% 184.29/184.11 [1124]~E(x11241,x11242)+E(f813(x11243,x11244,x11241,x11245,x11246),f813(x11243,x11244,x11242,x11245,x11246))
% 184.29/184.11 [1125]~E(x11251,x11252)+E(f813(x11253,x11254,x11255,x11251,x11256),f813(x11253,x11254,x11255,x11252,x11256))
% 184.29/184.11 [1126]~E(x11261,x11262)+E(f813(x11263,x11264,x11265,x11266,x11261),f813(x11263,x11264,x11265,x11266,x11262))
% 184.29/184.11 [1127]~E(x11271,x11272)+E(f595(x11271,x11273,x11274,x11275),f595(x11272,x11273,x11274,x11275))
% 184.29/184.11 [1128]~E(x11281,x11282)+E(f595(x11283,x11281,x11284,x11285),f595(x11283,x11282,x11284,x11285))
% 184.29/184.11 [1129]~E(x11291,x11292)+E(f595(x11293,x11294,x11291,x11295),f595(x11293,x11294,x11292,x11295))
% 184.29/184.11 [1130]~E(x11301,x11302)+E(f595(x11303,x11304,x11305,x11301),f595(x11303,x11304,x11305,x11302))
% 184.29/184.11 [1131]~E(x11311,x11312)+E(f826(x11311,x11313,x11314),f826(x11312,x11313,x11314))
% 184.29/184.11 [1132]~E(x11321,x11322)+E(f826(x11323,x11321,x11324),f826(x11323,x11322,x11324))
% 184.29/184.11 [1133]~E(x11331,x11332)+E(f826(x11333,x11334,x11331),f826(x11333,x11334,x11332))
% 184.29/184.11 [1134]~E(x11341,x11342)+E(f792(x11341,x11343),f792(x11342,x11343))
% 184.29/184.11 [1135]~E(x11351,x11352)+E(f792(x11353,x11351),f792(x11353,x11352))
% 184.29/184.11 [1136]~E(x11361,x11362)+E(f247(x11361,x11363,x11364),f247(x11362,x11363,x11364))
% 184.29/184.11 [1137]~E(x11371,x11372)+E(f247(x11373,x11371,x11374),f247(x11373,x11372,x11374))
% 184.29/184.11 [1138]~E(x11381,x11382)+E(f247(x11383,x11384,x11381),f247(x11383,x11384,x11382))
% 184.29/184.11 [1139]~E(x11391,x11392)+E(f732(x11391,x11393,x11394,x11395),f732(x11392,x11393,x11394,x11395))
% 184.29/184.11 [1140]~E(x11401,x11402)+E(f732(x11403,x11401,x11404,x11405),f732(x11403,x11402,x11404,x11405))
% 184.29/184.11 [1141]~E(x11411,x11412)+E(f732(x11413,x11414,x11411,x11415),f732(x11413,x11414,x11412,x11415))
% 184.29/184.11 [1142]~E(x11421,x11422)+E(f732(x11423,x11424,x11425,x11421),f732(x11423,x11424,x11425,x11422))
% 184.29/184.11 [1143]~E(x11431,x11432)+E(f408(x11431,x11433,x11434,x11435),f408(x11432,x11433,x11434,x11435))
% 184.29/184.11 [1144]~E(x11441,x11442)+E(f408(x11443,x11441,x11444,x11445),f408(x11443,x11442,x11444,x11445))
% 184.29/184.11 [1145]~E(x11451,x11452)+E(f408(x11453,x11454,x11451,x11455),f408(x11453,x11454,x11452,x11455))
% 184.29/184.11 [1146]~E(x11461,x11462)+E(f408(x11463,x11464,x11465,x11461),f408(x11463,x11464,x11465,x11462))
% 184.29/184.11 [1147]~E(x11471,x11472)+E(f597(x11471,x11473,x11474,x11475),f597(x11472,x11473,x11474,x11475))
% 184.29/184.11 [1148]~E(x11481,x11482)+E(f597(x11483,x11481,x11484,x11485),f597(x11483,x11482,x11484,x11485))
% 184.29/184.11 [1149]~E(x11491,x11492)+E(f597(x11493,x11494,x11491,x11495),f597(x11493,x11494,x11492,x11495))
% 184.29/184.11 [1150]~E(x11501,x11502)+E(f597(x11503,x11504,x11505,x11501),f597(x11503,x11504,x11505,x11502))
% 184.29/184.11 [1151]~E(x11511,x11512)+E(f229(x11511,x11513,x11514,x11515),f229(x11512,x11513,x11514,x11515))
% 184.29/184.11 [1152]~E(x11521,x11522)+E(f229(x11523,x11521,x11524,x11525),f229(x11523,x11522,x11524,x11525))
% 184.29/184.11 [1153]~E(x11531,x11532)+E(f229(x11533,x11534,x11531,x11535),f229(x11533,x11534,x11532,x11535))
% 184.29/184.11 [1154]~E(x11541,x11542)+E(f229(x11543,x11544,x11545,x11541),f229(x11543,x11544,x11545,x11542))
% 184.29/184.11 [1155]~E(x11551,x11552)+E(f647(x11551,x11553,x11554,x11555,x11556),f647(x11552,x11553,x11554,x11555,x11556))
% 184.29/184.11 [1156]~E(x11561,x11562)+E(f647(x11563,x11561,x11564,x11565,x11566),f647(x11563,x11562,x11564,x11565,x11566))
% 184.29/184.11 [1157]~E(x11571,x11572)+E(f647(x11573,x11574,x11571,x11575,x11576),f647(x11573,x11574,x11572,x11575,x11576))
% 184.29/184.11 [1158]~E(x11581,x11582)+E(f647(x11583,x11584,x11585,x11581,x11586),f647(x11583,x11584,x11585,x11582,x11586))
% 184.29/184.11 [1159]~E(x11591,x11592)+E(f647(x11593,x11594,x11595,x11596,x11591),f647(x11593,x11594,x11595,x11596,x11592))
% 184.29/184.11 [1160]~E(x11601,x11602)+E(f703(x11601,x11603,x11604,x11605,x11606),f703(x11602,x11603,x11604,x11605,x11606))
% 184.29/184.11 [1161]~E(x11611,x11612)+E(f703(x11613,x11611,x11614,x11615,x11616),f703(x11613,x11612,x11614,x11615,x11616))
% 184.29/184.11 [1162]~E(x11621,x11622)+E(f703(x11623,x11624,x11621,x11625,x11626),f703(x11623,x11624,x11622,x11625,x11626))
% 184.29/184.11 [1163]~E(x11631,x11632)+E(f703(x11633,x11634,x11635,x11631,x11636),f703(x11633,x11634,x11635,x11632,x11636))
% 184.29/184.11 [1164]~E(x11641,x11642)+E(f703(x11643,x11644,x11645,x11646,x11641),f703(x11643,x11644,x11645,x11646,x11642))
% 184.29/184.11 [1165]~E(x11651,x11652)+E(f262(x11651,x11653,x11654),f262(x11652,x11653,x11654))
% 184.29/184.11 [1166]~E(x11661,x11662)+E(f262(x11663,x11661,x11664),f262(x11663,x11662,x11664))
% 184.29/184.11 [1167]~E(x11671,x11672)+E(f262(x11673,x11674,x11671),f262(x11673,x11674,x11672))
% 184.29/184.11 [1168]~E(x11681,x11682)+E(f522(x11681,x11683,x11684,x11685),f522(x11682,x11683,x11684,x11685))
% 184.29/184.11 [1169]~E(x11691,x11692)+E(f522(x11693,x11691,x11694,x11695),f522(x11693,x11692,x11694,x11695))
% 184.29/184.11 [1170]~E(x11701,x11702)+E(f522(x11703,x11704,x11701,x11705),f522(x11703,x11704,x11702,x11705))
% 184.29/184.11 [1171]~E(x11711,x11712)+E(f522(x11713,x11714,x11715,x11711),f522(x11713,x11714,x11715,x11712))
% 184.29/184.11 [1172]~E(x11721,x11722)+E(f580(x11721,x11723),f580(x11722,x11723))
% 184.29/184.11 [1173]~E(x11731,x11732)+E(f580(x11733,x11731),f580(x11733,x11732))
% 184.29/184.11 [1174]~E(x11741,x11742)+E(f309(x11741,x11743,x11744),f309(x11742,x11743,x11744))
% 184.29/184.11 [1175]~E(x11751,x11752)+E(f309(x11753,x11751,x11754),f309(x11753,x11752,x11754))
% 184.29/184.11 [1176]~E(x11761,x11762)+E(f309(x11763,x11764,x11761),f309(x11763,x11764,x11762))
% 184.29/184.11 [1177]~E(x11771,x11772)+E(f602(x11771,x11773),f602(x11772,x11773))
% 184.29/184.11 [1178]~E(x11781,x11782)+E(f602(x11783,x11781),f602(x11783,x11782))
% 184.29/184.11 [1179]~E(x11791,x11792)+E(f339(x11791,x11793),f339(x11792,x11793))
% 184.29/184.11 [1180]~E(x11801,x11802)+E(f339(x11803,x11801),f339(x11803,x11802))
% 184.29/184.11 [1181]~E(x11811,x11812)+E(f150(x11811,x11813),f150(x11812,x11813))
% 184.29/184.11 [1182]~E(x11821,x11822)+E(f150(x11823,x11821),f150(x11823,x11822))
% 184.29/184.11 [1183]~E(x11831,x11832)+E(f756(x11831,x11833,x11834,x11835),f756(x11832,x11833,x11834,x11835))
% 184.29/184.11 [1184]~E(x11841,x11842)+E(f756(x11843,x11841,x11844,x11845),f756(x11843,x11842,x11844,x11845))
% 184.29/184.11 [1185]~E(x11851,x11852)+E(f756(x11853,x11854,x11851,x11855),f756(x11853,x11854,x11852,x11855))
% 184.29/184.11 [1186]~E(x11861,x11862)+E(f756(x11863,x11864,x11865,x11861),f756(x11863,x11864,x11865,x11862))
% 184.29/184.11 [1187]~E(x11871,x11872)+E(f136(x11871,x11873),f136(x11872,x11873))
% 184.29/184.11 [1188]~E(x11881,x11882)+E(f136(x11883,x11881),f136(x11883,x11882))
% 184.29/184.11 [1189]~E(x11891,x11892)+E(f286(x11891,x11893,x11894),f286(x11892,x11893,x11894))
% 184.29/184.11 [1190]~E(x11901,x11902)+E(f286(x11903,x11901,x11904),f286(x11903,x11902,x11904))
% 184.29/184.11 [1191]~E(x11911,x11912)+E(f286(x11913,x11914,x11911),f286(x11913,x11914,x11912))
% 184.29/184.11 [1192]~E(x11921,x11922)+E(f444(x11921,x11923),f444(x11922,x11923))
% 184.29/184.11 [1193]~E(x11931,x11932)+E(f444(x11933,x11931),f444(x11933,x11932))
% 184.29/184.11 [1194]~E(x11941,x11942)+E(f546(x11941,x11943,x11944,x11945,x11946),f546(x11942,x11943,x11944,x11945,x11946))
% 184.29/184.11 [1195]~E(x11951,x11952)+E(f546(x11953,x11951,x11954,x11955,x11956),f546(x11953,x11952,x11954,x11955,x11956))
% 184.29/184.11 [1196]~E(x11961,x11962)+E(f546(x11963,x11964,x11961,x11965,x11966),f546(x11963,x11964,x11962,x11965,x11966))
% 184.29/184.11 [1197]~E(x11971,x11972)+E(f546(x11973,x11974,x11975,x11971,x11976),f546(x11973,x11974,x11975,x11972,x11976))
% 184.29/184.11 [1198]~E(x11981,x11982)+E(f546(x11983,x11984,x11985,x11986,x11981),f546(x11983,x11984,x11985,x11986,x11982))
% 184.29/184.11 [1199]~E(x11991,x11992)+E(f460(x11991,x11993,x11994),f460(x11992,x11993,x11994))
% 184.29/184.11 [1200]~E(x12001,x12002)+E(f460(x12003,x12001,x12004),f460(x12003,x12002,x12004))
% 184.29/184.11 [1201]~E(x12011,x12012)+E(f460(x12013,x12014,x12011),f460(x12013,x12014,x12012))
% 184.29/184.11 [1202]~E(x12021,x12022)+E(f245(x12021,x12023),f245(x12022,x12023))
% 184.29/184.11 [1203]~E(x12031,x12032)+E(f245(x12033,x12031),f245(x12033,x12032))
% 184.29/184.11 [1204]~E(x12041,x12042)+E(f622(x12041,x12043,x12044,x12045),f622(x12042,x12043,x12044,x12045))
% 184.29/184.11 [1205]~E(x12051,x12052)+E(f622(x12053,x12051,x12054,x12055),f622(x12053,x12052,x12054,x12055))
% 184.29/184.11 [1206]~E(x12061,x12062)+E(f622(x12063,x12064,x12061,x12065),f622(x12063,x12064,x12062,x12065))
% 184.29/184.11 [1207]~E(x12071,x12072)+E(f622(x12073,x12074,x12075,x12071),f622(x12073,x12074,x12075,x12072))
% 184.29/184.11 [1208]~E(x12081,x12082)+E(f425(x12081,x12083,x12084),f425(x12082,x12083,x12084))
% 184.29/184.11 [1209]~E(x12091,x12092)+E(f425(x12093,x12091,x12094),f425(x12093,x12092,x12094))
% 184.29/184.11 [1210]~E(x12101,x12102)+E(f425(x12103,x12104,x12101),f425(x12103,x12104,x12102))
% 184.29/184.11 [1211]~E(x12111,x12112)+E(f431(x12111,x12113,x12114,x12115),f431(x12112,x12113,x12114,x12115))
% 184.29/184.11 [1212]~E(x12121,x12122)+E(f431(x12123,x12121,x12124,x12125),f431(x12123,x12122,x12124,x12125))
% 184.29/184.11 [1213]~E(x12131,x12132)+E(f431(x12133,x12134,x12131,x12135),f431(x12133,x12134,x12132,x12135))
% 184.29/184.11 [1214]~E(x12141,x12142)+E(f431(x12143,x12144,x12145,x12141),f431(x12143,x12144,x12145,x12142))
% 184.29/184.11 [1215]~E(x12151,x12152)+E(f174(x12151,x12153,x12154),f174(x12152,x12153,x12154))
% 184.29/184.11 [1216]~E(x12161,x12162)+E(f174(x12163,x12161,x12164),f174(x12163,x12162,x12164))
% 184.29/184.11 [1217]~E(x12171,x12172)+E(f174(x12173,x12174,x12171),f174(x12173,x12174,x12172))
% 184.29/184.11 [1218]~E(x12181,x12182)+E(f375(x12181,x12183),f375(x12182,x12183))
% 184.29/184.11 [1219]~E(x12191,x12192)+E(f375(x12193,x12191),f375(x12193,x12192))
% 184.29/184.11 [1220]~E(x12201,x12202)+E(f535(x12201,x12203,x12204,x12205,x12206,x12207,x12208,x12209),f535(x12202,x12203,x12204,x12205,x12206,x12207,x12208,x12209))
% 184.29/184.11 [1221]~E(x12211,x12212)+E(f535(x12213,x12211,x12214,x12215,x12216,x12217,x12218,x12219),f535(x12213,x12212,x12214,x12215,x12216,x12217,x12218,x12219))
% 184.29/184.11 [1222]~E(x12221,x12222)+E(f535(x12223,x12224,x12221,x12225,x12226,x12227,x12228,x12229),f535(x12223,x12224,x12222,x12225,x12226,x12227,x12228,x12229))
% 184.29/184.11 [1223]~E(x12231,x12232)+E(f535(x12233,x12234,x12235,x12231,x12236,x12237,x12238,x12239),f535(x12233,x12234,x12235,x12232,x12236,x12237,x12238,x12239))
% 184.29/184.11 [1224]~E(x12241,x12242)+E(f535(x12243,x12244,x12245,x12246,x12241,x12247,x12248,x12249),f535(x12243,x12244,x12245,x12246,x12242,x12247,x12248,x12249))
% 184.29/184.11 [1225]~E(x12251,x12252)+E(f535(x12253,x12254,x12255,x12256,x12257,x12251,x12258,x12259),f535(x12253,x12254,x12255,x12256,x12257,x12252,x12258,x12259))
% 184.29/184.11 [1226]~E(x12261,x12262)+E(f535(x12263,x12264,x12265,x12266,x12267,x12268,x12261,x12269),f535(x12263,x12264,x12265,x12266,x12267,x12268,x12262,x12269))
% 184.29/184.11 [1227]~E(x12271,x12272)+E(f535(x12273,x12274,x12275,x12276,x12277,x12278,x12279,x12271),f535(x12273,x12274,x12275,x12276,x12277,x12278,x12279,x12272))
% 184.29/184.11 [1228]~E(x12281,x12282)+E(f727(x12281),f727(x12282))
% 184.29/184.11 [1229]~E(x12291,x12292)+E(f401(x12291),f401(x12292))
% 184.29/184.11 [1230]~E(x12301,x12302)+E(f728(x12301),f728(x12302))
% 184.29/184.11 [1231]~E(x12311,x12312)+E(f707(x12311,x12313,x12314,x12315),f707(x12312,x12313,x12314,x12315))
% 184.29/184.11 [1232]~E(x12321,x12322)+E(f707(x12323,x12321,x12324,x12325),f707(x12323,x12322,x12324,x12325))
% 184.29/184.11 [1233]~E(x12331,x12332)+E(f707(x12333,x12334,x12331,x12335),f707(x12333,x12334,x12332,x12335))
% 184.29/184.11 [1234]~E(x12341,x12342)+E(f707(x12343,x12344,x12345,x12341),f707(x12343,x12344,x12345,x12342))
% 184.29/184.11 [1235]~E(x12351,x12352)+E(f498(x12351,x12353,x12354,x12355),f498(x12352,x12353,x12354,x12355))
% 184.29/184.11 [1236]~E(x12361,x12362)+E(f498(x12363,x12361,x12364,x12365),f498(x12363,x12362,x12364,x12365))
% 184.29/184.11 [1237]~E(x12371,x12372)+E(f498(x12373,x12374,x12371,x12375),f498(x12373,x12374,x12372,x12375))
% 184.29/184.11 [1238]~E(x12381,x12382)+E(f498(x12383,x12384,x12385,x12381),f498(x12383,x12384,x12385,x12382))
% 184.29/184.11 [1239]~E(x12391,x12392)+E(f497(x12391,x12393,x12394),f497(x12392,x12393,x12394))
% 184.29/184.11 [1240]~E(x12401,x12402)+E(f497(x12403,x12401,x12404),f497(x12403,x12402,x12404))
% 184.29/184.11 [1241]~E(x12411,x12412)+E(f497(x12413,x12414,x12411),f497(x12413,x12414,x12412))
% 184.29/184.11 [1242]~E(x12421,x12422)+E(f409(x12421,x12423,x12424,x12425),f409(x12422,x12423,x12424,x12425))
% 184.29/184.11 [1243]~E(x12431,x12432)+E(f409(x12433,x12431,x12434,x12435),f409(x12433,x12432,x12434,x12435))
% 184.29/184.11 [1244]~E(x12441,x12442)+E(f409(x12443,x12444,x12441,x12445),f409(x12443,x12444,x12442,x12445))
% 184.29/184.11 [1245]~E(x12451,x12452)+E(f409(x12453,x12454,x12455,x12451),f409(x12453,x12454,x12455,x12452))
% 184.29/184.11 [1246]~E(x12461,x12462)+E(f714(x12461,x12463,x12464,x12465,x12466),f714(x12462,x12463,x12464,x12465,x12466))
% 184.29/184.11 [1247]~E(x12471,x12472)+E(f714(x12473,x12471,x12474,x12475,x12476),f714(x12473,x12472,x12474,x12475,x12476))
% 184.29/184.11 [1248]~E(x12481,x12482)+E(f714(x12483,x12484,x12481,x12485,x12486),f714(x12483,x12484,x12482,x12485,x12486))
% 184.29/184.11 [1249]~E(x12491,x12492)+E(f714(x12493,x12494,x12495,x12491,x12496),f714(x12493,x12494,x12495,x12492,x12496))
% 184.29/184.11 [1250]~E(x12501,x12502)+E(f714(x12503,x12504,x12505,x12506,x12501),f714(x12503,x12504,x12505,x12506,x12502))
% 184.29/184.11 [1251]~E(x12511,x12512)+E(f682(x12511,x12513),f682(x12512,x12513))
% 184.29/184.11 [1252]~E(x12521,x12522)+E(f682(x12523,x12521),f682(x12523,x12522))
% 184.29/184.11 [1253]~E(x12531,x12532)+E(f343(x12531,x12533),f343(x12532,x12533))
% 184.29/184.11 [1254]~E(x12541,x12542)+E(f343(x12543,x12541),f343(x12543,x12542))
% 184.29/184.11 [1255]~E(x12551,x12552)+E(f827(x12551,x12553,x12554),f827(x12552,x12553,x12554))
% 184.29/184.11 [1256]~E(x12561,x12562)+E(f827(x12563,x12561,x12564),f827(x12563,x12562,x12564))
% 184.29/184.11 [1257]~E(x12571,x12572)+E(f827(x12573,x12574,x12571),f827(x12573,x12574,x12572))
% 184.29/184.11 [1258]~E(x12581,x12582)+E(f37(x12581,x12583,x12584,x12585,x12586,x12587,x12588,x12589,x125810,x125811),f37(x12582,x12583,x12584,x12585,x12586,x12587,x12588,x12589,x125810,x125811))
% 184.29/184.11 [1259]~E(x12591,x12592)+E(f37(x12593,x12591,x12594,x12595,x12596,x12597,x12598,x12599,x125910,x125911),f37(x12593,x12592,x12594,x12595,x12596,x12597,x12598,x12599,x125910,x125911))
% 184.29/184.11 [1260]~E(x12601,x12602)+E(f37(x12603,x12604,x12601,x12605,x12606,x12607,x12608,x12609,x126010,x126011),f37(x12603,x12604,x12602,x12605,x12606,x12607,x12608,x12609,x126010,x126011))
% 184.29/184.11 [1261]~E(x12611,x12612)+E(f37(x12613,x12614,x12615,x12611,x12616,x12617,x12618,x12619,x126110,x126111),f37(x12613,x12614,x12615,x12612,x12616,x12617,x12618,x12619,x126110,x126111))
% 184.29/184.11 [1262]~E(x12621,x12622)+E(f37(x12623,x12624,x12625,x12626,x12621,x12627,x12628,x12629,x126210,x126211),f37(x12623,x12624,x12625,x12626,x12622,x12627,x12628,x12629,x126210,x126211))
% 184.29/184.11 [1263]~E(x12631,x12632)+E(f37(x12633,x12634,x12635,x12636,x12637,x12631,x12638,x12639,x126310,x126311),f37(x12633,x12634,x12635,x12636,x12637,x12632,x12638,x12639,x126310,x126311))
% 184.29/184.11 [1264]~E(x12641,x12642)+E(f37(x12643,x12644,x12645,x12646,x12647,x12648,x12641,x12649,x126410,x126411),f37(x12643,x12644,x12645,x12646,x12647,x12648,x12642,x12649,x126410,x126411))
% 184.29/184.11 [1265]~E(x12651,x12652)+E(f37(x12653,x12654,x12655,x12656,x12657,x12658,x12659,x12651,x126510,x126511),f37(x12653,x12654,x12655,x12656,x12657,x12658,x12659,x12652,x126510,x126511))
% 184.29/184.11 [1266]~E(x12661,x12662)+E(f37(x12663,x12664,x12665,x12666,x12667,x12668,x12669,x126610,x12661,x126611),f37(x12663,x12664,x12665,x12666,x12667,x12668,x12669,x126610,x12662,x126611))
% 184.29/184.11 [1267]~E(x12671,x12672)+E(f37(x12673,x12674,x12675,x12676,x12677,x12678,x12679,x126710,x126711,x12671),f37(x12673,x12674,x12675,x12676,x12677,x12678,x12679,x126710,x126711,x12672))
% 184.29/184.11 [1268]~E(x12681,x12682)+E(f509(x12681,x12683,x12684,x12685,x12686,x12687,x12688),f509(x12682,x12683,x12684,x12685,x12686,x12687,x12688))
% 184.29/184.11 [1269]~E(x12691,x12692)+E(f509(x12693,x12691,x12694,x12695,x12696,x12697,x12698),f509(x12693,x12692,x12694,x12695,x12696,x12697,x12698))
% 184.29/184.11 [1270]~E(x12701,x12702)+E(f509(x12703,x12704,x12701,x12705,x12706,x12707,x12708),f509(x12703,x12704,x12702,x12705,x12706,x12707,x12708))
% 184.29/184.11 [1271]~E(x12711,x12712)+E(f509(x12713,x12714,x12715,x12711,x12716,x12717,x12718),f509(x12713,x12714,x12715,x12712,x12716,x12717,x12718))
% 184.29/184.11 [1272]~E(x12721,x12722)+E(f509(x12723,x12724,x12725,x12726,x12721,x12727,x12728),f509(x12723,x12724,x12725,x12726,x12722,x12727,x12728))
% 184.29/184.11 [1273]~E(x12731,x12732)+E(f509(x12733,x12734,x12735,x12736,x12737,x12731,x12738),f509(x12733,x12734,x12735,x12736,x12737,x12732,x12738))
% 184.29/184.11 [1274]~E(x12741,x12742)+E(f509(x12743,x12744,x12745,x12746,x12747,x12748,x12741),f509(x12743,x12744,x12745,x12746,x12747,x12748,x12742))
% 184.29/184.11 [1275]~E(x12751,x12752)+E(f366(x12751,x12753,x12754,x12755,x12756),f366(x12752,x12753,x12754,x12755,x12756))
% 184.29/184.11 [1276]~E(x12761,x12762)+E(f366(x12763,x12761,x12764,x12765,x12766),f366(x12763,x12762,x12764,x12765,x12766))
% 184.29/184.11 [1277]~E(x12771,x12772)+E(f366(x12773,x12774,x12771,x12775,x12776),f366(x12773,x12774,x12772,x12775,x12776))
% 184.29/184.11 [1278]~E(x12781,x12782)+E(f366(x12783,x12784,x12785,x12781,x12786),f366(x12783,x12784,x12785,x12782,x12786))
% 184.29/184.11 [1279]~E(x12791,x12792)+E(f366(x12793,x12794,x12795,x12796,x12791),f366(x12793,x12794,x12795,x12796,x12792))
% 184.29/184.11 [1280]~E(x12801,x12802)+E(f304(x12801,x12803),f304(x12802,x12803))
% 184.29/184.11 [1281]~E(x12811,x12812)+E(f304(x12813,x12811),f304(x12813,x12812))
% 184.29/184.11 [1282]~E(x12821,x12822)+E(f435(x12821,x12823,x12824,x12825),f435(x12822,x12823,x12824,x12825))
% 184.29/184.11 [1283]~E(x12831,x12832)+E(f435(x12833,x12831,x12834,x12835),f435(x12833,x12832,x12834,x12835))
% 184.29/184.11 [1284]~E(x12841,x12842)+E(f435(x12843,x12844,x12841,x12845),f435(x12843,x12844,x12842,x12845))
% 184.29/184.11 [1285]~E(x12851,x12852)+E(f435(x12853,x12854,x12855,x12851),f435(x12853,x12854,x12855,x12852))
% 184.29/184.11 [1286]~E(x12861,x12862)+E(f273(x12861),f273(x12862))
% 184.29/184.11 [1287]~E(x12871,x12872)+E(f495(x12871,x12873,x12874,x12875,x12876,x12877),f495(x12872,x12873,x12874,x12875,x12876,x12877))
% 184.29/184.11 [1288]~E(x12881,x12882)+E(f495(x12883,x12881,x12884,x12885,x12886,x12887),f495(x12883,x12882,x12884,x12885,x12886,x12887))
% 184.29/184.11 [1289]~E(x12891,x12892)+E(f495(x12893,x12894,x12891,x12895,x12896,x12897),f495(x12893,x12894,x12892,x12895,x12896,x12897))
% 184.29/184.11 [1290]~E(x12901,x12902)+E(f495(x12903,x12904,x12905,x12901,x12906,x12907),f495(x12903,x12904,x12905,x12902,x12906,x12907))
% 184.29/184.11 [1291]~E(x12911,x12912)+E(f495(x12913,x12914,x12915,x12916,x12911,x12917),f495(x12913,x12914,x12915,x12916,x12912,x12917))
% 184.29/184.11 [1292]~E(x12921,x12922)+E(f495(x12923,x12924,x12925,x12926,x12927,x12921),f495(x12923,x12924,x12925,x12926,x12927,x12922))
% 184.29/184.11 [1293]~E(x12931,x12932)+E(f550(x12931,x12933,x12934),f550(x12932,x12933,x12934))
% 184.29/184.11 [1294]~E(x12941,x12942)+E(f550(x12943,x12941,x12944),f550(x12943,x12942,x12944))
% 184.29/184.11 [1295]~E(x12951,x12952)+E(f550(x12953,x12954,x12951),f550(x12953,x12954,x12952))
% 184.29/184.11 [1296]~E(x12961,x12962)+E(f352(x12961,x12963),f352(x12962,x12963))
% 184.29/184.11 [1297]~E(x12971,x12972)+E(f352(x12973,x12971),f352(x12973,x12972))
% 184.29/184.11 [1298]~E(x12981,x12982)+E(f555(x12981,x12983,x12984),f555(x12982,x12983,x12984))
% 184.29/184.11 [1299]~E(x12991,x12992)+E(f555(x12993,x12991,x12994),f555(x12993,x12992,x12994))
% 184.29/184.11 [1300]~E(x13001,x13002)+E(f555(x13003,x13004,x13001),f555(x13003,x13004,x13002))
% 184.29/184.11 [1301]~E(x13011,x13012)+E(f831(x13011,x13013,x13014),f831(x13012,x13013,x13014))
% 184.29/184.11 [1302]~E(x13021,x13022)+E(f831(x13023,x13021,x13024),f831(x13023,x13022,x13024))
% 184.29/184.11 [1303]~E(x13031,x13032)+E(f831(x13033,x13034,x13031),f831(x13033,x13034,x13032))
% 184.29/184.11 [1304]~E(x13041,x13042)+E(f376(x13041),f376(x13042))
% 184.29/184.11 [1305]~E(x13051,x13052)+E(f832(x13051,x13053,x13054),f832(x13052,x13053,x13054))
% 184.29/184.11 [1306]~E(x13061,x13062)+E(f832(x13063,x13061,x13064),f832(x13063,x13062,x13064))
% 184.29/184.11 [1307]~E(x13071,x13072)+E(f832(x13073,x13074,x13071),f832(x13073,x13074,x13072))
% 184.29/184.11 [1308]~E(x13081,x13082)+E(f428(x13081,x13083,x13084,x13085),f428(x13082,x13083,x13084,x13085))
% 184.29/184.11 [1309]~E(x13091,x13092)+E(f428(x13093,x13091,x13094,x13095),f428(x13093,x13092,x13094,x13095))
% 184.29/184.11 [1310]~E(x13101,x13102)+E(f428(x13103,x13104,x13101,x13105),f428(x13103,x13104,x13102,x13105))
% 184.29/184.11 [1311]~E(x13111,x13112)+E(f428(x13113,x13114,x13115,x13111),f428(x13113,x13114,x13115,x13112))
% 184.29/184.11 [1312]~E(x13121,x13122)+E(f394(x13121,x13123,x13124),f394(x13122,x13123,x13124))
% 184.29/184.11 [1313]~E(x13131,x13132)+E(f394(x13133,x13131,x13134),f394(x13133,x13132,x13134))
% 184.29/184.11 [1314]~E(x13141,x13142)+E(f394(x13143,x13144,x13141),f394(x13143,x13144,x13142))
% 184.29/184.11 [1315]~E(x13151,x13152)+E(f629(x13151,x13153,x13154),f629(x13152,x13153,x13154))
% 184.29/184.11 [1316]~E(x13161,x13162)+E(f629(x13163,x13161,x13164),f629(x13163,x13162,x13164))
% 184.29/184.11 [1317]~E(x13171,x13172)+E(f629(x13173,x13174,x13171),f629(x13173,x13174,x13172))
% 184.29/184.11 [1318]~E(x13181,x13182)+E(f693(x13181,x13183,x13184,x13185),f693(x13182,x13183,x13184,x13185))
% 184.29/184.11 [1319]~E(x13191,x13192)+E(f693(x13193,x13191,x13194,x13195),f693(x13193,x13192,x13194,x13195))
% 184.29/184.11 [1320]~E(x13201,x13202)+E(f693(x13203,x13204,x13201,x13205),f693(x13203,x13204,x13202,x13205))
% 184.29/184.11 [1321]~E(x13211,x13212)+E(f693(x13213,x13214,x13215,x13211),f693(x13213,x13214,x13215,x13212))
% 184.29/184.11 [1322]~E(x13221,x13222)+E(f264(x13221),f264(x13222))
% 184.29/184.11 [1323]~E(x13231,x13232)+E(f639(x13231,x13233,x13234),f639(x13232,x13233,x13234))
% 184.29/184.11 [1324]~E(x13241,x13242)+E(f639(x13243,x13241,x13244),f639(x13243,x13242,x13244))
% 184.29/184.11 [1325]~E(x13251,x13252)+E(f639(x13253,x13254,x13251),f639(x13253,x13254,x13252))
% 184.29/184.11 [1326]~E(x13261,x13262)+E(f412(x13261,x13263,x13264,x13265),f412(x13262,x13263,x13264,x13265))
% 184.29/184.11 [1327]~E(x13271,x13272)+E(f412(x13273,x13271,x13274,x13275),f412(x13273,x13272,x13274,x13275))
% 184.29/184.11 [1328]~E(x13281,x13282)+E(f412(x13283,x13284,x13281,x13285),f412(x13283,x13284,x13282,x13285))
% 184.29/184.11 [1329]~E(x13291,x13292)+E(f412(x13293,x13294,x13295,x13291),f412(x13293,x13294,x13295,x13292))
% 184.29/184.11 [1330]~E(x13301,x13302)+E(f504(x13301),f504(x13302))
% 184.29/184.11 [1331]~E(x13311,x13312)+E(f549(x13311,x13313,x13314),f549(x13312,x13313,x13314))
% 184.29/184.11 [1332]~E(x13321,x13322)+E(f549(x13323,x13321,x13324),f549(x13323,x13322,x13324))
% 184.29/184.11 [1333]~E(x13331,x13332)+E(f549(x13333,x13334,x13331),f549(x13333,x13334,x13332))
% 184.29/184.11 [1334]~E(x13341,x13342)+E(f218(x13341,x13343,x13344,x13345,x13346),f218(x13342,x13343,x13344,x13345,x13346))
% 184.29/184.11 [1335]~E(x13351,x13352)+E(f218(x13353,x13351,x13354,x13355,x13356),f218(x13353,x13352,x13354,x13355,x13356))
% 184.29/184.11 [1336]~E(x13361,x13362)+E(f218(x13363,x13364,x13361,x13365,x13366),f218(x13363,x13364,x13362,x13365,x13366))
% 184.29/184.11 [1337]~E(x13371,x13372)+E(f218(x13373,x13374,x13375,x13371,x13376),f218(x13373,x13374,x13375,x13372,x13376))
% 184.29/184.11 [1338]~E(x13381,x13382)+E(f218(x13383,x13384,x13385,x13386,x13381),f218(x13383,x13384,x13385,x13386,x13382))
% 184.29/184.11 [1339]~E(x13391,x13392)+E(f432(x13391,x13393,x13394,x13395),f432(x13392,x13393,x13394,x13395))
% 184.29/184.11 [1340]~E(x13401,x13402)+E(f432(x13403,x13401,x13404,x13405),f432(x13403,x13402,x13404,x13405))
% 184.29/184.11 [1341]~E(x13411,x13412)+E(f432(x13413,x13414,x13411,x13415),f432(x13413,x13414,x13412,x13415))
% 184.29/184.11 [1342]~E(x13421,x13422)+E(f432(x13423,x13424,x13425,x13421),f432(x13423,x13424,x13425,x13422))
% 184.29/184.11 [1343]~E(x13431,x13432)+E(f351(x13431,x13433),f351(x13432,x13433))
% 184.29/184.11 [1344]~E(x13441,x13442)+E(f351(x13443,x13441),f351(x13443,x13442))
% 184.29/184.11 [1345]~E(x13451,x13452)+E(f582(x13451,x13453),f582(x13452,x13453))
% 184.29/184.11 [1346]~E(x13461,x13462)+E(f582(x13463,x13461),f582(x13463,x13462))
% 184.29/184.11 [1347]~E(x13471,x13472)+E(f779(x13471),f779(x13472))
% 184.29/184.11 [1348]~E(x13481,x13482)+E(f477(x13481,x13483,x13484),f477(x13482,x13483,x13484))
% 184.29/184.11 [1349]~E(x13491,x13492)+E(f477(x13493,x13491,x13494),f477(x13493,x13492,x13494))
% 184.29/184.11 [1350]~E(x13501,x13502)+E(f477(x13503,x13504,x13501),f477(x13503,x13504,x13502))
% 184.29/184.11 [1351]~E(x13511,x13512)+E(f801(x13511,x13513,x13514),f801(x13512,x13513,x13514))
% 184.29/184.11 [1352]~E(x13521,x13522)+E(f801(x13523,x13521,x13524),f801(x13523,x13522,x13524))
% 184.29/184.11 [1353]~E(x13531,x13532)+E(f801(x13533,x13534,x13531),f801(x13533,x13534,x13532))
% 184.29/184.11 [1354]~E(x13541,x13542)+E(f480(x13541,x13543,x13544,x13545,x13546),f480(x13542,x13543,x13544,x13545,x13546))
% 184.29/184.11 [1355]~E(x13551,x13552)+E(f480(x13553,x13551,x13554,x13555,x13556),f480(x13553,x13552,x13554,x13555,x13556))
% 184.29/184.11 [1356]~E(x13561,x13562)+E(f480(x13563,x13564,x13561,x13565,x13566),f480(x13563,x13564,x13562,x13565,x13566))
% 184.29/184.11 [1357]~E(x13571,x13572)+E(f480(x13573,x13574,x13575,x13571,x13576),f480(x13573,x13574,x13575,x13572,x13576))
% 184.29/184.11 [1358]~E(x13581,x13582)+E(f480(x13583,x13584,x13585,x13586,x13581),f480(x13583,x13584,x13585,x13586,x13582))
% 184.29/184.11 [1359]~E(x13591,x13592)+E(f713(x13591,x13593,x13594),f713(x13592,x13593,x13594))
% 184.29/184.11 [1360]~E(x13601,x13602)+E(f713(x13603,x13601,x13604),f713(x13603,x13602,x13604))
% 184.29/184.11 [1361]~E(x13611,x13612)+E(f713(x13613,x13614,x13611),f713(x13613,x13614,x13612))
% 184.29/184.11 [1362]~E(x13621,x13622)+E(f706(x13621,x13623,x13624,x13625,x13626,x13627),f706(x13622,x13623,x13624,x13625,x13626,x13627))
% 184.29/184.11 [1363]~E(x13631,x13632)+E(f706(x13633,x13631,x13634,x13635,x13636,x13637),f706(x13633,x13632,x13634,x13635,x13636,x13637))
% 184.29/184.11 [1364]~E(x13641,x13642)+E(f706(x13643,x13644,x13641,x13645,x13646,x13647),f706(x13643,x13644,x13642,x13645,x13646,x13647))
% 184.29/184.11 [1365]~E(x13651,x13652)+E(f706(x13653,x13654,x13655,x13651,x13656,x13657),f706(x13653,x13654,x13655,x13652,x13656,x13657))
% 184.29/184.11 [1366]~E(x13661,x13662)+E(f706(x13663,x13664,x13665,x13666,x13661,x13667),f706(x13663,x13664,x13665,x13666,x13662,x13667))
% 184.29/184.11 [1367]~E(x13671,x13672)+E(f706(x13673,x13674,x13675,x13676,x13677,x13671),f706(x13673,x13674,x13675,x13676,x13677,x13672))
% 184.29/184.11 [1368]~E(x13681,x13682)+E(f445(x13681,x13683),f445(x13682,x13683))
% 184.29/184.11 [1369]~E(x13691,x13692)+E(f445(x13693,x13691),f445(x13693,x13692))
% 184.29/184.11 [1370]~E(x13701,x13702)+E(f347(x13701,x13703,x13704,x13705),f347(x13702,x13703,x13704,x13705))
% 184.29/184.11 [1371]~E(x13711,x13712)+E(f347(x13713,x13711,x13714,x13715),f347(x13713,x13712,x13714,x13715))
% 184.29/184.11 [1372]~E(x13721,x13722)+E(f347(x13723,x13724,x13721,x13725),f347(x13723,x13724,x13722,x13725))
% 184.29/184.11 [1373]~E(x13731,x13732)+E(f347(x13733,x13734,x13735,x13731),f347(x13733,x13734,x13735,x13732))
% 184.29/184.11 [1374]~E(x13741,x13742)+E(f560(x13741,x13743,x13744,x13745),f560(x13742,x13743,x13744,x13745))
% 184.29/184.11 [1375]~E(x13751,x13752)+E(f560(x13753,x13751,x13754,x13755),f560(x13753,x13752,x13754,x13755))
% 184.29/184.11 [1376]~E(x13761,x13762)+E(f560(x13763,x13764,x13761,x13765),f560(x13763,x13764,x13762,x13765))
% 184.29/184.11 [1377]~E(x13771,x13772)+E(f560(x13773,x13774,x13775,x13771),f560(x13773,x13774,x13775,x13772))
% 184.29/184.11 [1378]~E(x13781,x13782)+E(f369(x13781,x13783),f369(x13782,x13783))
% 184.29/184.11 [1379]~E(x13791,x13792)+E(f369(x13793,x13791),f369(x13793,x13792))
% 184.29/184.11 [1380]~E(x13801,x13802)+E(f492(x13801,x13803),f492(x13802,x13803))
% 184.29/184.11 [1381]~E(x13811,x13812)+E(f492(x13813,x13811),f492(x13813,x13812))
% 184.29/184.11 [1382]~E(x13821,x13822)+E(f540(x13821,x13823,x13824,x13825,x13826),f540(x13822,x13823,x13824,x13825,x13826))
% 184.29/184.11 [1383]~E(x13831,x13832)+E(f540(x13833,x13831,x13834,x13835,x13836),f540(x13833,x13832,x13834,x13835,x13836))
% 184.29/184.11 [1384]~E(x13841,x13842)+E(f540(x13843,x13844,x13841,x13845,x13846),f540(x13843,x13844,x13842,x13845,x13846))
% 184.29/184.11 [1385]~E(x13851,x13852)+E(f540(x13853,x13854,x13855,x13851,x13856),f540(x13853,x13854,x13855,x13852,x13856))
% 184.29/184.11 [1386]~E(x13861,x13862)+E(f540(x13863,x13864,x13865,x13866,x13861),f540(x13863,x13864,x13865,x13866,x13862))
% 184.29/184.11 [1387]~E(x13871,x13872)+E(f228(x13871,x13873,x13874),f228(x13872,x13873,x13874))
% 184.29/184.11 [1388]~E(x13881,x13882)+E(f228(x13883,x13881,x13884),f228(x13883,x13882,x13884))
% 184.29/184.11 [1389]~E(x13891,x13892)+E(f228(x13893,x13894,x13891),f228(x13893,x13894,x13892))
% 184.29/184.11 [1390]~E(x13901,x13902)+E(f310(x13901),f310(x13902))
% 184.29/184.11 [1391]~E(x13911,x13912)+E(f616(x13911,x13913),f616(x13912,x13913))
% 184.29/184.11 [1392]~E(x13921,x13922)+E(f616(x13923,x13921),f616(x13923,x13922))
% 184.29/184.11 [1393]~E(x13931,x13932)+E(f406(x13931,x13933,x13934),f406(x13932,x13933,x13934))
% 184.29/184.11 [1394]~E(x13941,x13942)+E(f406(x13943,x13941,x13944),f406(x13943,x13942,x13944))
% 184.29/184.11 [1395]~E(x13951,x13952)+E(f406(x13953,x13954,x13951),f406(x13953,x13954,x13952))
% 184.29/184.11 [1396]~E(x13961,x13962)+E(f19(x13961,x13963,x13964,x13965),f19(x13962,x13963,x13964,x13965))
% 184.29/184.11 [1397]~E(x13971,x13972)+E(f19(x13973,x13971,x13974,x13975),f19(x13973,x13972,x13974,x13975))
% 184.29/184.11 [1398]~E(x13981,x13982)+E(f19(x13983,x13984,x13981,x13985),f19(x13983,x13984,x13982,x13985))
% 184.29/184.11 [1399]~E(x13991,x13992)+E(f19(x13993,x13994,x13995,x13991),f19(x13993,x13994,x13995,x13992))
% 184.29/184.11 [1400]~E(x14001,x14002)+E(f371(x14001,x14003,x14004,x14005,x14006),f371(x14002,x14003,x14004,x14005,x14006))
% 184.29/184.11 [1401]~E(x14011,x14012)+E(f371(x14013,x14011,x14014,x14015,x14016),f371(x14013,x14012,x14014,x14015,x14016))
% 184.29/184.11 [1402]~E(x14021,x14022)+E(f371(x14023,x14024,x14021,x14025,x14026),f371(x14023,x14024,x14022,x14025,x14026))
% 184.29/184.11 [1403]~E(x14031,x14032)+E(f371(x14033,x14034,x14035,x14031,x14036),f371(x14033,x14034,x14035,x14032,x14036))
% 184.29/184.11 [1404]~E(x14041,x14042)+E(f371(x14043,x14044,x14045,x14046,x14041),f371(x14043,x14044,x14045,x14046,x14042))
% 184.29/184.11 [1405]~E(x14051,x14052)+E(f691(x14051,x14053,x14054,x14055,x14056,x14057,x14058),f691(x14052,x14053,x14054,x14055,x14056,x14057,x14058))
% 184.29/184.11 [1406]~E(x14061,x14062)+E(f691(x14063,x14061,x14064,x14065,x14066,x14067,x14068),f691(x14063,x14062,x14064,x14065,x14066,x14067,x14068))
% 184.29/184.11 [1407]~E(x14071,x14072)+E(f691(x14073,x14074,x14071,x14075,x14076,x14077,x14078),f691(x14073,x14074,x14072,x14075,x14076,x14077,x14078))
% 184.29/184.11 [1408]~E(x14081,x14082)+E(f691(x14083,x14084,x14085,x14081,x14086,x14087,x14088),f691(x14083,x14084,x14085,x14082,x14086,x14087,x14088))
% 184.29/184.11 [1409]~E(x14091,x14092)+E(f691(x14093,x14094,x14095,x14096,x14091,x14097,x14098),f691(x14093,x14094,x14095,x14096,x14092,x14097,x14098))
% 184.29/184.11 [1410]~E(x14101,x14102)+E(f691(x14103,x14104,x14105,x14106,x14107,x14101,x14108),f691(x14103,x14104,x14105,x14106,x14107,x14102,x14108))
% 184.29/184.11 [1411]~E(x14111,x14112)+E(f691(x14113,x14114,x14115,x14116,x14117,x14118,x14111),f691(x14113,x14114,x14115,x14116,x14117,x14118,x14112))
% 184.29/184.11 [1412]~E(x14121,x14122)+E(f694(x14121,x14123,x14124),f694(x14122,x14123,x14124))
% 184.29/184.11 [1413]~E(x14131,x14132)+E(f694(x14133,x14131,x14134),f694(x14133,x14132,x14134))
% 184.29/184.11 [1414]~E(x14141,x14142)+E(f694(x14143,x14144,x14141),f694(x14143,x14144,x14142))
% 184.29/184.11 [1415]~E(x14151,x14152)+E(f623(x14151,x14153,x14154,x14155),f623(x14152,x14153,x14154,x14155))
% 184.29/184.11 [1416]~E(x14161,x14162)+E(f623(x14163,x14161,x14164,x14165),f623(x14163,x14162,x14164,x14165))
% 184.29/184.11 [1417]~E(x14171,x14172)+E(f623(x14173,x14174,x14171,x14175),f623(x14173,x14174,x14172,x14175))
% 184.29/184.11 [1418]~E(x14181,x14182)+E(f623(x14183,x14184,x14185,x14181),f623(x14183,x14184,x14185,x14182))
% 184.29/184.11 [1419]~E(x14191,x14192)+E(f410(x14191,x14193,x14194,x14195),f410(x14192,x14193,x14194,x14195))
% 184.29/184.11 [1420]~E(x14201,x14202)+E(f410(x14203,x14201,x14204,x14205),f410(x14203,x14202,x14204,x14205))
% 184.29/184.11 [1421]~E(x14211,x14212)+E(f410(x14213,x14214,x14211,x14215),f410(x14213,x14214,x14212,x14215))
% 184.29/184.11 [1422]~E(x14221,x14222)+E(f410(x14223,x14224,x14225,x14221),f410(x14223,x14224,x14225,x14222))
% 184.29/184.11 [1423]~E(x14231,x14232)+E(f268(x14231,x14233,x14234,x14235),f268(x14232,x14233,x14234,x14235))
% 184.29/184.11 [1424]~E(x14241,x14242)+E(f268(x14243,x14241,x14244,x14245),f268(x14243,x14242,x14244,x14245))
% 184.29/184.11 [1425]~E(x14251,x14252)+E(f268(x14253,x14254,x14251,x14255),f268(x14253,x14254,x14252,x14255))
% 184.29/184.11 [1426]~E(x14261,x14262)+E(f268(x14263,x14264,x14265,x14261),f268(x14263,x14264,x14265,x14262))
% 184.29/184.11 [1427]~E(x14271,x14272)+E(f665(x14271,x14273,x14274,x14275,x14276),f665(x14272,x14273,x14274,x14275,x14276))
% 184.29/184.11 [1428]~E(x14281,x14282)+E(f665(x14283,x14281,x14284,x14285,x14286),f665(x14283,x14282,x14284,x14285,x14286))
% 184.29/184.11 [1429]~E(x14291,x14292)+E(f665(x14293,x14294,x14291,x14295,x14296),f665(x14293,x14294,x14292,x14295,x14296))
% 184.29/184.11 [1430]~E(x14301,x14302)+E(f665(x14303,x14304,x14305,x14301,x14306),f665(x14303,x14304,x14305,x14302,x14306))
% 184.29/184.11 [1431]~E(x14311,x14312)+E(f665(x14313,x14314,x14315,x14316,x14311),f665(x14313,x14314,x14315,x14316,x14312))
% 184.29/184.11 [1432]~E(x14321,x14322)+E(f689(x14321,x14323,x14324,x14325),f689(x14322,x14323,x14324,x14325))
% 184.29/184.11 [1433]~E(x14331,x14332)+E(f689(x14333,x14331,x14334,x14335),f689(x14333,x14332,x14334,x14335))
% 184.29/184.11 [1434]~E(x14341,x14342)+E(f689(x14343,x14344,x14341,x14345),f689(x14343,x14344,x14342,x14345))
% 184.29/184.11 [1435]~E(x14351,x14352)+E(f689(x14353,x14354,x14355,x14351),f689(x14353,x14354,x14355,x14352))
% 184.29/184.11 [1436]~E(x14361,x14362)+E(f816(x14361,x14363,x14364),f816(x14362,x14363,x14364))
% 184.29/184.11 [1437]~E(x14371,x14372)+E(f816(x14373,x14371,x14374),f816(x14373,x14372,x14374))
% 184.29/184.11 [1438]~E(x14381,x14382)+E(f816(x14383,x14384,x14381),f816(x14383,x14384,x14382))
% 184.29/184.11 [1439]~E(x14391,x14392)+E(f434(x14391,x14393,x14394,x14395),f434(x14392,x14393,x14394,x14395))
% 184.29/184.11 [1440]~E(x14401,x14402)+E(f434(x14403,x14401,x14404,x14405),f434(x14403,x14402,x14404,x14405))
% 184.29/184.11 [1441]~E(x14411,x14412)+E(f434(x14413,x14414,x14411,x14415),f434(x14413,x14414,x14412,x14415))
% 184.29/184.11 [1442]~E(x14421,x14422)+E(f434(x14423,x14424,x14425,x14421),f434(x14423,x14424,x14425,x14422))
% 184.29/184.11 [1443]~E(x14431,x14432)+E(f21(x14431,x14433,x14434,x14435),f21(x14432,x14433,x14434,x14435))
% 184.29/184.11 [1444]~E(x14441,x14442)+E(f21(x14443,x14441,x14444,x14445),f21(x14443,x14442,x14444,x14445))
% 184.29/184.11 [1445]~E(x14451,x14452)+E(f21(x14453,x14454,x14451,x14455),f21(x14453,x14454,x14452,x14455))
% 184.29/184.11 [1446]~E(x14461,x14462)+E(f21(x14463,x14464,x14465,x14461),f21(x14463,x14464,x14465,x14462))
% 184.29/184.11 [1447]~E(x14471,x14472)+E(f822(x14471,x14473,x14474),f822(x14472,x14473,x14474))
% 184.29/184.11 [1448]~E(x14481,x14482)+E(f822(x14483,x14481,x14484),f822(x14483,x14482,x14484))
% 184.29/184.11 [1449]~E(x14491,x14492)+E(f822(x14493,x14494,x14491),f822(x14493,x14494,x14492))
% 184.29/184.11 [1450]~E(x14501,x14502)+E(f565(x14501,x14503),f565(x14502,x14503))
% 184.29/184.11 [1451]~E(x14511,x14512)+E(f565(x14513,x14511),f565(x14513,x14512))
% 184.29/184.11 [1452]~E(x14521,x14522)+E(f476(x14521,x14523,x14524),f476(x14522,x14523,x14524))
% 184.29/184.11 [1453]~E(x14531,x14532)+E(f476(x14533,x14531,x14534),f476(x14533,x14532,x14534))
% 184.29/184.11 [1454]~E(x14541,x14542)+E(f476(x14543,x14544,x14541),f476(x14543,x14544,x14542))
% 184.29/184.11 [1455]~E(x14551,x14552)+E(f378(x14551,x14553,x14554,x14555),f378(x14552,x14553,x14554,x14555))
% 184.29/184.11 [1456]~E(x14561,x14562)+E(f378(x14563,x14561,x14564,x14565),f378(x14563,x14562,x14564,x14565))
% 184.29/184.11 [1457]~E(x14571,x14572)+E(f378(x14573,x14574,x14571,x14575),f378(x14573,x14574,x14572,x14575))
% 184.29/184.11 [1458]~E(x14581,x14582)+E(f378(x14583,x14584,x14585,x14581),f378(x14583,x14584,x14585,x14582))
% 184.29/184.11 [1459]~E(x14591,x14592)+E(f671(x14591,x14593,x14594),f671(x14592,x14593,x14594))
% 184.29/184.11 [1460]~E(x14601,x14602)+E(f671(x14603,x14601,x14604),f671(x14603,x14602,x14604))
% 184.29/184.11 [1461]~E(x14611,x14612)+E(f671(x14613,x14614,x14611),f671(x14613,x14614,x14612))
% 184.29/184.11 [1462]~E(x14621,x14622)+E(f154(x14621,x14623,x14624,x14625),f154(x14622,x14623,x14624,x14625))
% 184.29/184.11 [1463]~E(x14631,x14632)+E(f154(x14633,x14631,x14634,x14635),f154(x14633,x14632,x14634,x14635))
% 184.29/184.11 [1464]~E(x14641,x14642)+E(f154(x14643,x14644,x14641,x14645),f154(x14643,x14644,x14642,x14645))
% 184.29/184.11 [1465]~E(x14651,x14652)+E(f154(x14653,x14654,x14655,x14651),f154(x14653,x14654,x14655,x14652))
% 184.29/184.11 [1466]~E(x14661,x14662)+E(f392(x14661,x14663,x14664,x14665,x14666),f392(x14662,x14663,x14664,x14665,x14666))
% 184.29/184.11 [1467]~E(x14671,x14672)+E(f392(x14673,x14671,x14674,x14675,x14676),f392(x14673,x14672,x14674,x14675,x14676))
% 184.29/184.11 [1468]~E(x14681,x14682)+E(f392(x14683,x14684,x14681,x14685,x14686),f392(x14683,x14684,x14682,x14685,x14686))
% 184.29/184.11 [1469]~E(x14691,x14692)+E(f392(x14693,x14694,x14695,x14691,x14696),f392(x14693,x14694,x14695,x14692,x14696))
% 184.29/184.11 [1470]~E(x14701,x14702)+E(f392(x14703,x14704,x14705,x14706,x14701),f392(x14703,x14704,x14705,x14706,x14702))
% 184.29/184.11 [1471]~E(x14711,x14712)+E(f855(x14711,x14713),f855(x14712,x14713))
% 184.29/184.11 [1472]~E(x14721,x14722)+E(f855(x14723,x14721),f855(x14723,x14722))
% 184.29/184.11 [1473]~E(x14731,x14732)+E(f439(x14731,x14733,x14734,x14735),f439(x14732,x14733,x14734,x14735))
% 184.29/184.11 [1474]~E(x14741,x14742)+E(f439(x14743,x14741,x14744,x14745),f439(x14743,x14742,x14744,x14745))
% 184.29/184.11 [1475]~E(x14751,x14752)+E(f439(x14753,x14754,x14751,x14755),f439(x14753,x14754,x14752,x14755))
% 184.29/184.11 [1476]~E(x14761,x14762)+E(f439(x14763,x14764,x14765,x14761),f439(x14763,x14764,x14765,x14762))
% 184.29/184.11 [1477]~E(x14771,x14772)+E(f456(x14771,x14773),f456(x14772,x14773))
% 184.29/184.11 [1478]~E(x14781,x14782)+E(f456(x14783,x14781),f456(x14783,x14782))
% 184.29/184.11 [1479]~E(x14791,x14792)+E(f751(x14791,x14793,x14794,x14795),f751(x14792,x14793,x14794,x14795))
% 184.29/184.11 [1480]~E(x14801,x14802)+E(f751(x14803,x14801,x14804,x14805),f751(x14803,x14802,x14804,x14805))
% 184.29/184.11 [1481]~E(x14811,x14812)+E(f751(x14813,x14814,x14811,x14815),f751(x14813,x14814,x14812,x14815))
% 184.29/184.11 [1482]~E(x14821,x14822)+E(f751(x14823,x14824,x14825,x14821),f751(x14823,x14824,x14825,x14822))
% 184.29/184.11 [1483]~E(x14831,x14832)+E(f828(x14831,x14833,x14834),f828(x14832,x14833,x14834))
% 184.29/184.11 [1484]~E(x14841,x14842)+E(f828(x14843,x14841,x14844),f828(x14843,x14842,x14844))
% 184.29/184.11 [1485]~E(x14851,x14852)+E(f828(x14853,x14854,x14851),f828(x14853,x14854,x14852))
% 184.29/184.11 [1486]~E(x14861,x14862)+E(f829(x14861,x14863,x14864),f829(x14862,x14863,x14864))
% 184.29/184.11 [1487]~E(x14871,x14872)+E(f829(x14873,x14871,x14874),f829(x14873,x14872,x14874))
% 184.29/184.11 [1488]~E(x14881,x14882)+E(f829(x14883,x14884,x14881),f829(x14883,x14884,x14882))
% 184.29/184.11 [1489]~E(x14891,x14892)+E(f53(x14891,x14893),f53(x14892,x14893))
% 184.29/184.11 [1490]~E(x14901,x14902)+E(f53(x14903,x14901),f53(x14903,x14902))
% 184.29/184.11 [1491]~E(x14911,x14912)+E(f730(x14911,x14913,x14914),f730(x14912,x14913,x14914))
% 184.29/184.11 [1492]~E(x14921,x14922)+E(f730(x14923,x14921,x14924),f730(x14923,x14922,x14924))
% 184.29/184.11 [1493]~E(x14931,x14932)+E(f730(x14933,x14934,x14931),f730(x14933,x14934,x14932))
% 184.29/184.11 [1494]~E(x14941,x14942)+E(f592(x14941,x14943),f592(x14942,x14943))
% 184.29/184.11 [1495]~E(x14951,x14952)+E(f592(x14953,x14951),f592(x14953,x14952))
% 184.29/184.11 [1496]~E(x14961,x14962)+E(f417(x14961,x14963,x14964,x14965,x14966),f417(x14962,x14963,x14964,x14965,x14966))
% 184.29/184.11 [1497]~E(x14971,x14972)+E(f417(x14973,x14971,x14974,x14975,x14976),f417(x14973,x14972,x14974,x14975,x14976))
% 184.29/184.11 [1498]~E(x14981,x14982)+E(f417(x14983,x14984,x14981,x14985,x14986),f417(x14983,x14984,x14982,x14985,x14986))
% 184.29/184.11 [1499]~E(x14991,x14992)+E(f417(x14993,x14994,x14995,x14991,x14996),f417(x14993,x14994,x14995,x14992,x14996))
% 184.29/184.11 [1500]~E(x15001,x15002)+E(f417(x15003,x15004,x15005,x15006,x15001),f417(x15003,x15004,x15005,x15006,x15002))
% 184.29/184.11 [1501]~E(x15011,x15012)+E(f481(x15011,x15013,x15014,x15015,x15016),f481(x15012,x15013,x15014,x15015,x15016))
% 184.29/184.11 [1502]~E(x15021,x15022)+E(f481(x15023,x15021,x15024,x15025,x15026),f481(x15023,x15022,x15024,x15025,x15026))
% 184.29/184.11 [1503]~E(x15031,x15032)+E(f481(x15033,x15034,x15031,x15035,x15036),f481(x15033,x15034,x15032,x15035,x15036))
% 184.29/184.11 [1504]~E(x15041,x15042)+E(f481(x15043,x15044,x15045,x15041,x15046),f481(x15043,x15044,x15045,x15042,x15046))
% 184.29/184.11 [1505]~E(x15051,x15052)+E(f481(x15053,x15054,x15055,x15056,x15051),f481(x15053,x15054,x15055,x15056,x15052))
% 184.29/184.11 [1506]~E(x15061,x15062)+E(f659(x15061,x15063,x15064,x15065,x15066),f659(x15062,x15063,x15064,x15065,x15066))
% 184.29/184.11 [1507]~E(x15071,x15072)+E(f659(x15073,x15071,x15074,x15075,x15076),f659(x15073,x15072,x15074,x15075,x15076))
% 184.29/184.11 [1508]~E(x15081,x15082)+E(f659(x15083,x15084,x15081,x15085,x15086),f659(x15083,x15084,x15082,x15085,x15086))
% 184.29/184.11 [1509]~E(x15091,x15092)+E(f659(x15093,x15094,x15095,x15091,x15096),f659(x15093,x15094,x15095,x15092,x15096))
% 184.29/184.11 [1510]~E(x15101,x15102)+E(f659(x15103,x15104,x15105,x15106,x15101),f659(x15103,x15104,x15105,x15106,x15102))
% 184.29/184.11 [1511]~E(x15111,x15112)+E(f610(x15111,x15113,x15114),f610(x15112,x15113,x15114))
% 184.29/184.11 [1512]~E(x15121,x15122)+E(f610(x15123,x15121,x15124),f610(x15123,x15122,x15124))
% 184.29/184.11 [1513]~E(x15131,x15132)+E(f610(x15133,x15134,x15131),f610(x15133,x15134,x15132))
% 184.29/184.11 [1514]~E(x15141,x15142)+E(f640(x15141,x15143,x15144),f640(x15142,x15143,x15144))
% 184.29/184.11 [1515]~E(x15151,x15152)+E(f640(x15153,x15151,x15154),f640(x15153,x15152,x15154))
% 184.29/184.11 [1516]~E(x15161,x15162)+E(f640(x15163,x15164,x15161),f640(x15163,x15164,x15162))
% 184.29/184.11 [1517]~E(x15171,x15172)+E(f750(x15171,x15173,x15174),f750(x15172,x15173,x15174))
% 184.29/184.11 [1518]~E(x15181,x15182)+E(f750(x15183,x15181,x15184),f750(x15183,x15182,x15184))
% 184.29/184.11 [1519]~E(x15191,x15192)+E(f750(x15193,x15194,x15191),f750(x15193,x15194,x15192))
% 184.29/184.11 [1520]~E(x15201,x15202)+E(f552(x15201,x15203,x15204),f552(x15202,x15203,x15204))
% 184.29/184.11 [1521]~E(x15211,x15212)+E(f552(x15213,x15211,x15214),f552(x15213,x15212,x15214))
% 184.29/184.11 [1522]~E(x15221,x15222)+E(f552(x15223,x15224,x15221),f552(x15223,x15224,x15222))
% 184.29/184.11 [1523]~E(x15231,x15232)+E(f542(x15231,x15233,x15234,x15235,x15236,x15237),f542(x15232,x15233,x15234,x15235,x15236,x15237))
% 184.29/184.11 [1524]~E(x15241,x15242)+E(f542(x15243,x15241,x15244,x15245,x15246,x15247),f542(x15243,x15242,x15244,x15245,x15246,x15247))
% 184.29/184.11 [1525]~E(x15251,x15252)+E(f542(x15253,x15254,x15251,x15255,x15256,x15257),f542(x15253,x15254,x15252,x15255,x15256,x15257))
% 184.29/184.11 [1526]~E(x15261,x15262)+E(f542(x15263,x15264,x15265,x15261,x15266,x15267),f542(x15263,x15264,x15265,x15262,x15266,x15267))
% 184.29/184.11 [1527]~E(x15271,x15272)+E(f542(x15273,x15274,x15275,x15276,x15271,x15277),f542(x15273,x15274,x15275,x15276,x15272,x15277))
% 184.29/184.11 [1528]~E(x15281,x15282)+E(f542(x15283,x15284,x15285,x15286,x15287,x15281),f542(x15283,x15284,x15285,x15286,x15287,x15282))
% 184.29/184.11 [1529]~E(x15291,x15292)+E(f837(x15291,x15293,x15294,x15295,x15296,x15297,x15298),f837(x15292,x15293,x15294,x15295,x15296,x15297,x15298))
% 184.29/184.11 [1530]~E(x15301,x15302)+E(f837(x15303,x15301,x15304,x15305,x15306,x15307,x15308),f837(x15303,x15302,x15304,x15305,x15306,x15307,x15308))
% 184.29/184.11 [1531]~E(x15311,x15312)+E(f837(x15313,x15314,x15311,x15315,x15316,x15317,x15318),f837(x15313,x15314,x15312,x15315,x15316,x15317,x15318))
% 184.29/184.11 [1532]~E(x15321,x15322)+E(f837(x15323,x15324,x15325,x15321,x15326,x15327,x15328),f837(x15323,x15324,x15325,x15322,x15326,x15327,x15328))
% 184.29/184.11 [1533]~E(x15331,x15332)+E(f837(x15333,x15334,x15335,x15336,x15331,x15337,x15338),f837(x15333,x15334,x15335,x15336,x15332,x15337,x15338))
% 184.29/184.11 [1534]~E(x15341,x15342)+E(f837(x15343,x15344,x15345,x15346,x15347,x15341,x15348),f837(x15343,x15344,x15345,x15346,x15347,x15342,x15348))
% 184.29/184.11 [1535]~E(x15351,x15352)+E(f837(x15353,x15354,x15355,x15356,x15357,x15358,x15351),f837(x15353,x15354,x15355,x15356,x15357,x15358,x15352))
% 184.29/184.11 [1536]~E(x15361,x15362)+E(f767(x15361,x15363,x15364),f767(x15362,x15363,x15364))
% 184.29/184.11 [1537]~E(x15371,x15372)+E(f767(x15373,x15371,x15374),f767(x15373,x15372,x15374))
% 184.29/184.11 [1538]~E(x15381,x15382)+E(f767(x15383,x15384,x15381),f767(x15383,x15384,x15382))
% 184.29/184.11 [1539]~E(x15391,x15392)+E(f209(x15391,x15393),f209(x15392,x15393))
% 184.29/184.11 [1540]~E(x15401,x15402)+E(f209(x15403,x15401),f209(x15403,x15402))
% 184.29/184.11 [1541]~E(x15411,x15412)+E(f575(x15411,x15413),f575(x15412,x15413))
% 184.29/184.11 [1542]~E(x15421,x15422)+E(f575(x15423,x15421),f575(x15423,x15422))
% 184.29/184.11 [1543]~E(x15431,x15432)+E(f451(x15431,x15433,x15434,x15435),f451(x15432,x15433,x15434,x15435))
% 184.29/184.11 [1544]~E(x15441,x15442)+E(f451(x15443,x15441,x15444,x15445),f451(x15443,x15442,x15444,x15445))
% 184.29/184.11 [1545]~E(x15451,x15452)+E(f451(x15453,x15454,x15451,x15455),f451(x15453,x15454,x15452,x15455))
% 184.29/184.11 [1546]~E(x15461,x15462)+E(f451(x15463,x15464,x15465,x15461),f451(x15463,x15464,x15465,x15462))
% 184.29/184.11 [1547]~E(x15471,x15472)+E(f815(x15471,x15473,x15474),f815(x15472,x15473,x15474))
% 184.29/184.11 [1548]~E(x15481,x15482)+E(f815(x15483,x15481,x15484),f815(x15483,x15482,x15484))
% 184.29/184.11 [1549]~E(x15491,x15492)+E(f815(x15493,x15494,x15491),f815(x15493,x15494,x15492))
% 184.29/184.11 [1550]~E(x15501,x15502)+E(f493(x15501,x15503,x15504),f493(x15502,x15503,x15504))
% 184.29/184.11 [1551]~E(x15511,x15512)+E(f493(x15513,x15511,x15514),f493(x15513,x15512,x15514))
% 184.29/184.11 [1552]~E(x15521,x15522)+E(f493(x15523,x15524,x15521),f493(x15523,x15524,x15522))
% 184.29/184.11 [1553]~E(x15531,x15532)+E(f789(x15531,x15533),f789(x15532,x15533))
% 184.29/184.11 [1554]~E(x15541,x15542)+E(f789(x15543,x15541),f789(x15543,x15542))
% 184.29/184.11 [1555]~E(x15551,x15552)+E(f576(x15551,x15553,x15554,x15555,x15556),f576(x15552,x15553,x15554,x15555,x15556))
% 184.29/184.11 [1556]~E(x15561,x15562)+E(f576(x15563,x15561,x15564,x15565,x15566),f576(x15563,x15562,x15564,x15565,x15566))
% 184.29/184.11 [1557]~E(x15571,x15572)+E(f576(x15573,x15574,x15571,x15575,x15576),f576(x15573,x15574,x15572,x15575,x15576))
% 184.29/184.11 [1558]~E(x15581,x15582)+E(f576(x15583,x15584,x15585,x15581,x15586),f576(x15583,x15584,x15585,x15582,x15586))
% 184.29/184.11 [1559]~E(x15591,x15592)+E(f576(x15593,x15594,x15595,x15596,x15591),f576(x15593,x15594,x15595,x15596,x15592))
% 184.29/184.11 [1560]~E(x15601,x15602)+E(f833(x15601,x15603,x15604),f833(x15602,x15603,x15604))
% 184.29/184.11 [1561]~E(x15611,x15612)+E(f833(x15613,x15611,x15614),f833(x15613,x15612,x15614))
% 184.29/184.11 [1562]~E(x15621,x15622)+E(f833(x15623,x15624,x15621),f833(x15623,x15624,x15622))
% 184.29/184.11 [1563]~E(x15631,x15632)+E(f489(x15631,x15633,x15634,x15635,x15636),f489(x15632,x15633,x15634,x15635,x15636))
% 184.29/184.11 [1564]~E(x15641,x15642)+E(f489(x15643,x15641,x15644,x15645,x15646),f489(x15643,x15642,x15644,x15645,x15646))
% 184.29/184.11 [1565]~E(x15651,x15652)+E(f489(x15653,x15654,x15651,x15655,x15656),f489(x15653,x15654,x15652,x15655,x15656))
% 184.29/184.11 [1566]~E(x15661,x15662)+E(f489(x15663,x15664,x15665,x15661,x15666),f489(x15663,x15664,x15665,x15662,x15666))
% 184.29/184.11 [1567]~E(x15671,x15672)+E(f489(x15673,x15674,x15675,x15676,x15671),f489(x15673,x15674,x15675,x15676,x15672))
% 184.29/184.11 [1568]~E(x15681,x15682)+E(f379(x15681,x15683,x15684,x15685),f379(x15682,x15683,x15684,x15685))
% 184.29/184.11 [1569]~E(x15691,x15692)+E(f379(x15693,x15691,x15694,x15695),f379(x15693,x15692,x15694,x15695))
% 184.29/184.11 [1570]~E(x15701,x15702)+E(f379(x15703,x15704,x15701,x15705),f379(x15703,x15704,x15702,x15705))
% 184.29/184.11 [1571]~E(x15711,x15712)+E(f379(x15713,x15714,x15715,x15711),f379(x15713,x15714,x15715,x15712))
% 184.29/184.11 [1572]~E(x15721,x15722)+E(f834(x15721,x15723,x15724,x15725),f834(x15722,x15723,x15724,x15725))
% 184.29/184.11 [1573]~E(x15731,x15732)+E(f834(x15733,x15731,x15734,x15735),f834(x15733,x15732,x15734,x15735))
% 184.29/184.11 [1574]~E(x15741,x15742)+E(f834(x15743,x15744,x15741,x15745),f834(x15743,x15744,x15742,x15745))
% 184.29/184.11 [1575]~E(x15751,x15752)+E(f834(x15753,x15754,x15755,x15751),f834(x15753,x15754,x15755,x15752))
% 184.29/184.11 [1576]~E(x15761,x15762)+E(f367(x15761,x15763,x15764,x15765,x15766),f367(x15762,x15763,x15764,x15765,x15766))
% 184.29/184.11 [1577]~E(x15771,x15772)+E(f367(x15773,x15771,x15774,x15775,x15776),f367(x15773,x15772,x15774,x15775,x15776))
% 184.29/184.11 [1578]~E(x15781,x15782)+E(f367(x15783,x15784,x15781,x15785,x15786),f367(x15783,x15784,x15782,x15785,x15786))
% 184.29/184.11 [1579]~E(x15791,x15792)+E(f367(x15793,x15794,x15795,x15791,x15796),f367(x15793,x15794,x15795,x15792,x15796))
% 184.29/184.11 [1580]~E(x15801,x15802)+E(f367(x15803,x15804,x15805,x15806,x15801),f367(x15803,x15804,x15805,x15806,x15802))
% 184.29/184.11 [1581]~E(x15811,x15812)+E(f475(x15811,x15813,x15814),f475(x15812,x15813,x15814))
% 184.29/184.11 [1582]~E(x15821,x15822)+E(f475(x15823,x15821,x15824),f475(x15823,x15822,x15824))
% 184.29/184.11 [1583]~E(x15831,x15832)+E(f475(x15833,x15834,x15831),f475(x15833,x15834,x15832))
% 184.29/184.11 [1584]~E(x15841,x15842)+E(f758(x15841,x15843,x15844),f758(x15842,x15843,x15844))
% 184.29/184.11 [1585]~E(x15851,x15852)+E(f758(x15853,x15851,x15854),f758(x15853,x15852,x15854))
% 184.29/184.11 [1586]~E(x15861,x15862)+E(f758(x15863,x15864,x15861),f758(x15863,x15864,x15862))
% 184.29/184.11 [1587]~E(x15871,x15872)+E(f188(x15871,x15873),f188(x15872,x15873))
% 184.29/184.11 [1588]~E(x15881,x15882)+E(f188(x15883,x15881),f188(x15883,x15882))
% 184.29/184.11 [1589]~E(x15891,x15892)+E(f607(x15891,x15893),f607(x15892,x15893))
% 184.29/184.11 [1590]~E(x15901,x15902)+E(f607(x15903,x15901),f607(x15903,x15902))
% 184.29/184.11 [1591]~E(x15911,x15912)+E(f588(x15911,x15913,x15914,x15915),f588(x15912,x15913,x15914,x15915))
% 184.29/184.11 [1592]~E(x15921,x15922)+E(f588(x15923,x15921,x15924,x15925),f588(x15923,x15922,x15924,x15925))
% 184.29/184.11 [1593]~E(x15931,x15932)+E(f588(x15933,x15934,x15931,x15935),f588(x15933,x15934,x15932,x15935))
% 184.29/184.11 [1594]~E(x15941,x15942)+E(f588(x15943,x15944,x15945,x15941),f588(x15943,x15944,x15945,x15942))
% 184.29/184.11 [1595]~E(x15951,x15952)+E(f783(x15951,x15953,x15954),f783(x15952,x15953,x15954))
% 184.29/184.11 [1596]~E(x15961,x15962)+E(f783(x15963,x15961,x15964),f783(x15963,x15962,x15964))
% 184.29/184.11 [1597]~E(x15971,x15972)+E(f783(x15973,x15974,x15971),f783(x15973,x15974,x15972))
% 184.29/184.11 [1598]~E(x15981,x15982)+E(f374(x15981,x15983,x15984),f374(x15982,x15983,x15984))
% 184.29/184.11 [1599]~E(x15991,x15992)+E(f374(x15993,x15991,x15994),f374(x15993,x15992,x15994))
% 184.29/184.11 [1600]~E(x16001,x16002)+E(f374(x16003,x16004,x16001),f374(x16003,x16004,x16002))
% 184.29/184.11 [1601]~E(x16011,x16012)+E(f357(x16011,x16013,x16014,x16015),f357(x16012,x16013,x16014,x16015))
% 184.29/184.11 [1602]~E(x16021,x16022)+E(f357(x16023,x16021,x16024,x16025),f357(x16023,x16022,x16024,x16025))
% 184.29/184.11 [1603]~E(x16031,x16032)+E(f357(x16033,x16034,x16031,x16035),f357(x16033,x16034,x16032,x16035))
% 184.29/184.11 [1604]~E(x16041,x16042)+E(f357(x16043,x16044,x16045,x16041),f357(x16043,x16044,x16045,x16042))
% 184.29/184.11 [1605]~E(x16051,x16052)+E(f563(x16051,x16053,x16054,x16055,x16056,x16057),f563(x16052,x16053,x16054,x16055,x16056,x16057))
% 184.29/184.11 [1606]~E(x16061,x16062)+E(f563(x16063,x16061,x16064,x16065,x16066,x16067),f563(x16063,x16062,x16064,x16065,x16066,x16067))
% 184.29/184.11 [1607]~E(x16071,x16072)+E(f563(x16073,x16074,x16071,x16075,x16076,x16077),f563(x16073,x16074,x16072,x16075,x16076,x16077))
% 184.29/184.11 [1608]~E(x16081,x16082)+E(f563(x16083,x16084,x16085,x16081,x16086,x16087),f563(x16083,x16084,x16085,x16082,x16086,x16087))
% 184.29/184.11 [1609]~E(x16091,x16092)+E(f563(x16093,x16094,x16095,x16096,x16091,x16097),f563(x16093,x16094,x16095,x16096,x16092,x16097))
% 184.29/184.11 [1610]~E(x16101,x16102)+E(f563(x16103,x16104,x16105,x16106,x16107,x16101),f563(x16103,x16104,x16105,x16106,x16107,x16102))
% 184.29/184.11 [1611]~E(x16111,x16112)+E(f49(x16111),f49(x16112))
% 184.29/184.11 [1612]~E(x16121,x16122)+E(f349(x16121,x16123,x16124,x16125),f349(x16122,x16123,x16124,x16125))
% 184.29/184.11 [1613]~E(x16131,x16132)+E(f349(x16133,x16131,x16134,x16135),f349(x16133,x16132,x16134,x16135))
% 184.29/184.11 [1614]~E(x16141,x16142)+E(f349(x16143,x16144,x16141,x16145),f349(x16143,x16144,x16142,x16145))
% 184.29/184.11 [1615]~E(x16151,x16152)+E(f349(x16153,x16154,x16155,x16151),f349(x16153,x16154,x16155,x16152))
% 184.29/184.11 [1616]~E(x16161,x16162)+E(f569(x16161,x16163,x16164,x16165,x16166),f569(x16162,x16163,x16164,x16165,x16166))
% 184.29/184.11 [1617]~E(x16171,x16172)+E(f569(x16173,x16171,x16174,x16175,x16176),f569(x16173,x16172,x16174,x16175,x16176))
% 184.29/184.11 [1618]~E(x16181,x16182)+E(f569(x16183,x16184,x16181,x16185,x16186),f569(x16183,x16184,x16182,x16185,x16186))
% 184.29/184.11 [1619]~E(x16191,x16192)+E(f569(x16193,x16194,x16195,x16191,x16196),f569(x16193,x16194,x16195,x16192,x16196))
% 184.29/184.11 [1620]~E(x16201,x16202)+E(f569(x16203,x16204,x16205,x16206,x16201),f569(x16203,x16204,x16205,x16206,x16202))
% 184.29/184.11 [1621]~E(x16211,x16212)+E(f395(x16211,x16213,x16214),f395(x16212,x16213,x16214))
% 184.29/184.11 [1622]~E(x16221,x16222)+E(f395(x16223,x16221,x16224),f395(x16223,x16222,x16224))
% 184.29/184.11 [1623]~E(x16231,x16232)+E(f395(x16233,x16234,x16231),f395(x16233,x16234,x16232))
% 184.29/184.11 [1624]~E(x16241,x16242)+E(f648(x16241,x16243,x16244,x16245,x16246),f648(x16242,x16243,x16244,x16245,x16246))
% 184.29/184.11 [1625]~E(x16251,x16252)+E(f648(x16253,x16251,x16254,x16255,x16256),f648(x16253,x16252,x16254,x16255,x16256))
% 184.29/184.11 [1626]~E(x16261,x16262)+E(f648(x16263,x16264,x16261,x16265,x16266),f648(x16263,x16264,x16262,x16265,x16266))
% 184.29/184.11 [1627]~E(x16271,x16272)+E(f648(x16273,x16274,x16275,x16271,x16276),f648(x16273,x16274,x16275,x16272,x16276))
% 184.29/184.11 [1628]~E(x16281,x16282)+E(f648(x16283,x16284,x16285,x16286,x16281),f648(x16283,x16284,x16285,x16286,x16282))
% 184.29/184.11 [1629]~E(x16291,x16292)+E(f679(x16291,x16293,x16294),f679(x16292,x16293,x16294))
% 184.29/184.11 [1630]~E(x16301,x16302)+E(f679(x16303,x16301,x16304),f679(x16303,x16302,x16304))
% 184.29/184.11 [1631]~E(x16311,x16312)+E(f679(x16313,x16314,x16311),f679(x16313,x16314,x16312))
% 184.29/184.11 [1632]~E(x16321,x16322)+E(f443(x16321,x16323),f443(x16322,x16323))
% 184.29/184.11 [1633]~E(x16331,x16332)+E(f443(x16333,x16331),f443(x16333,x16332))
% 184.29/184.11 [1634]~E(x16341,x16342)+E(f420(x16341,x16343,x16344),f420(x16342,x16343,x16344))
% 184.29/184.11 [1635]~E(x16351,x16352)+E(f420(x16353,x16351,x16354),f420(x16353,x16352,x16354))
% 184.29/184.11 [1636]~E(x16361,x16362)+E(f420(x16363,x16364,x16361),f420(x16363,x16364,x16362))
% 184.29/184.11 [1637]~E(x16371,x16372)+E(f761(x16371,x16373),f761(x16372,x16373))
% 184.29/184.11 [1638]~E(x16381,x16382)+E(f761(x16383,x16381),f761(x16383,x16382))
% 184.29/184.11 [1639]~E(x16391,x16392)+E(f644(x16391,x16393,x16394,x16395,x16396),f644(x16392,x16393,x16394,x16395,x16396))
% 184.29/184.11 [1640]~E(x16401,x16402)+E(f644(x16403,x16401,x16404,x16405,x16406),f644(x16403,x16402,x16404,x16405,x16406))
% 184.29/184.11 [1641]~E(x16411,x16412)+E(f644(x16413,x16414,x16411,x16415,x16416),f644(x16413,x16414,x16412,x16415,x16416))
% 184.29/184.11 [1642]~E(x16421,x16422)+E(f644(x16423,x16424,x16425,x16421,x16426),f644(x16423,x16424,x16425,x16422,x16426))
% 184.29/184.11 [1643]~E(x16431,x16432)+E(f644(x16433,x16434,x16435,x16436,x16431),f644(x16433,x16434,x16435,x16436,x16432))
% 184.29/184.11 [1644]~E(x16441,x16442)+E(f618(x16441,x16443),f618(x16442,x16443))
% 184.29/184.11 [1645]~E(x16451,x16452)+E(f618(x16453,x16451),f618(x16453,x16452))
% 184.29/184.11 [1646]~E(x16461,x16462)+E(f129(x16461),f129(x16462))
% 184.29/184.11 [1647]~E(x16471,x16472)+E(f584(x16471,x16473),f584(x16472,x16473))
% 184.29/184.11 [1648]~E(x16481,x16482)+E(f584(x16483,x16481),f584(x16483,x16482))
% 184.29/184.11 [1649]~E(x16491,x16492)+E(f672(x16491,x16493,x16494),f672(x16492,x16493,x16494))
% 184.29/184.11 [1650]~E(x16501,x16502)+E(f672(x16503,x16501,x16504),f672(x16503,x16502,x16504))
% 184.29/184.11 [1651]~E(x16511,x16512)+E(f672(x16513,x16514,x16511),f672(x16513,x16514,x16512))
% 184.29/184.11 [1652]~E(x16521,x16522)+E(f469(x16521,x16523,x16524),f469(x16522,x16523,x16524))
% 184.29/184.11 [1653]~E(x16531,x16532)+E(f469(x16533,x16531,x16534),f469(x16533,x16532,x16534))
% 184.29/184.11 [1654]~E(x16541,x16542)+E(f469(x16543,x16544,x16541),f469(x16543,x16544,x16542))
% 184.29/184.11 [1655]~E(x16551,x16552)+E(f448(x16551,x16553),f448(x16552,x16553))
% 184.29/184.11 [1656]~E(x16561,x16562)+E(f448(x16563,x16561),f448(x16563,x16562))
% 184.29/184.11 [1657]~E(x16571,x16572)+E(f441(x16571,x16573,x16574,x16575,x16576),f441(x16572,x16573,x16574,x16575,x16576))
% 184.29/184.11 [1658]~E(x16581,x16582)+E(f441(x16583,x16581,x16584,x16585,x16586),f441(x16583,x16582,x16584,x16585,x16586))
% 184.29/184.11 [1659]~E(x16591,x16592)+E(f441(x16593,x16594,x16591,x16595,x16596),f441(x16593,x16594,x16592,x16595,x16596))
% 184.29/184.11 [1660]~E(x16601,x16602)+E(f441(x16603,x16604,x16605,x16601,x16606),f441(x16603,x16604,x16605,x16602,x16606))
% 184.29/184.11 [1661]~E(x16611,x16612)+E(f441(x16613,x16614,x16615,x16616,x16611),f441(x16613,x16614,x16615,x16616,x16612))
% 184.29/184.11 [1662]~E(x16621,x16622)+E(f361(x16621,x16623,x16624,x16625,x16626),f361(x16622,x16623,x16624,x16625,x16626))
% 184.29/184.11 [1663]~E(x16631,x16632)+E(f361(x16633,x16631,x16634,x16635,x16636),f361(x16633,x16632,x16634,x16635,x16636))
% 184.29/184.11 [1664]~E(x16641,x16642)+E(f361(x16643,x16644,x16641,x16645,x16646),f361(x16643,x16644,x16642,x16645,x16646))
% 184.29/184.11 [1665]~E(x16651,x16652)+E(f361(x16653,x16654,x16655,x16651,x16656),f361(x16653,x16654,x16655,x16652,x16656))
% 184.29/184.11 [1666]~E(x16661,x16662)+E(f361(x16663,x16664,x16665,x16666,x16661),f361(x16663,x16664,x16665,x16666,x16662))
% 184.29/184.11 [1667]~E(x16671,x16672)+E(f678(x16671,x16673,x16674,x16675,x16676,x16677,x16678,x16679),f678(x16672,x16673,x16674,x16675,x16676,x16677,x16678,x16679))
% 184.29/184.11 [1668]~E(x16681,x16682)+E(f678(x16683,x16681,x16684,x16685,x16686,x16687,x16688,x16689),f678(x16683,x16682,x16684,x16685,x16686,x16687,x16688,x16689))
% 184.29/184.11 [1669]~E(x16691,x16692)+E(f678(x16693,x16694,x16691,x16695,x16696,x16697,x16698,x16699),f678(x16693,x16694,x16692,x16695,x16696,x16697,x16698,x16699))
% 184.29/184.11 [1670]~E(x16701,x16702)+E(f678(x16703,x16704,x16705,x16701,x16706,x16707,x16708,x16709),f678(x16703,x16704,x16705,x16702,x16706,x16707,x16708,x16709))
% 184.29/184.11 [1671]~E(x16711,x16712)+E(f678(x16713,x16714,x16715,x16716,x16711,x16717,x16718,x16719),f678(x16713,x16714,x16715,x16716,x16712,x16717,x16718,x16719))
% 184.29/184.11 [1672]~E(x16721,x16722)+E(f678(x16723,x16724,x16725,x16726,x16727,x16721,x16728,x16729),f678(x16723,x16724,x16725,x16726,x16727,x16722,x16728,x16729))
% 184.29/184.11 [1673]~E(x16731,x16732)+E(f678(x16733,x16734,x16735,x16736,x16737,x16738,x16731,x16739),f678(x16733,x16734,x16735,x16736,x16737,x16738,x16732,x16739))
% 184.29/184.11 [1674]~E(x16741,x16742)+E(f678(x16743,x16744,x16745,x16746,x16747,x16748,x16749,x16741),f678(x16743,x16744,x16745,x16746,x16747,x16748,x16749,x16742))
% 184.29/184.11 [1675]~E(x16751,x16752)+E(f611(x16751,x16753,x16754),f611(x16752,x16753,x16754))
% 184.29/184.11 [1676]~E(x16761,x16762)+E(f611(x16763,x16761,x16764),f611(x16763,x16762,x16764))
% 184.29/184.11 [1677]~E(x16771,x16772)+E(f611(x16773,x16774,x16771),f611(x16773,x16774,x16772))
% 184.29/184.11 [1678]~E(x16781,x16782)+E(f455(x16781,x16783),f455(x16782,x16783))
% 184.29/184.11 [1679]~E(x16791,x16792)+E(f455(x16793,x16791),f455(x16793,x16792))
% 184.29/184.11 [1680]~E(x16801,x16802)+E(f820(x16801,x16803,x16804),f820(x16802,x16803,x16804))
% 184.29/184.11 [1681]~E(x16811,x16812)+E(f820(x16813,x16811,x16814),f820(x16813,x16812,x16814))
% 184.29/184.11 [1682]~E(x16821,x16822)+E(f820(x16823,x16824,x16821),f820(x16823,x16824,x16822))
% 184.29/184.11 [1683]~E(x16831,x16832)+E(f370(x16831,x16833),f370(x16832,x16833))
% 184.29/184.11 [1684]~E(x16841,x16842)+E(f370(x16843,x16841),f370(x16843,x16842))
% 184.29/184.11 [1685]~E(x16851,x16852)+E(f529(x16851,x16853,x16854,x16855),f529(x16852,x16853,x16854,x16855))
% 184.29/184.11 [1686]~E(x16861,x16862)+E(f529(x16863,x16861,x16864,x16865),f529(x16863,x16862,x16864,x16865))
% 184.29/184.11 [1687]~E(x16871,x16872)+E(f529(x16873,x16874,x16871,x16875),f529(x16873,x16874,x16872,x16875))
% 184.29/184.11 [1688]~E(x16881,x16882)+E(f529(x16883,x16884,x16885,x16881),f529(x16883,x16884,x16885,x16882))
% 184.29/184.11 [1689]~E(x16891,x16892)+E(f625(x16891),f625(x16892))
% 184.29/184.11 [1690]~E(x16901,x16902)+E(f512(x16901,x16903,x16904,x16905,x16906),f512(x16902,x16903,x16904,x16905,x16906))
% 184.29/184.11 [1691]~E(x16911,x16912)+E(f512(x16913,x16911,x16914,x16915,x16916),f512(x16913,x16912,x16914,x16915,x16916))
% 184.29/184.11 [1692]~E(x16921,x16922)+E(f512(x16923,x16924,x16921,x16925,x16926),f512(x16923,x16924,x16922,x16925,x16926))
% 184.29/184.11 [1693]~E(x16931,x16932)+E(f512(x16933,x16934,x16935,x16931,x16936),f512(x16933,x16934,x16935,x16932,x16936))
% 184.29/184.11 [1694]~E(x16941,x16942)+E(f512(x16943,x16944,x16945,x16946,x16941),f512(x16943,x16944,x16945,x16946,x16942))
% 184.29/184.11 [1695]~E(x16951,x16952)+E(f656(x16951,x16953,x16954,x16955,x16956),f656(x16952,x16953,x16954,x16955,x16956))
% 184.29/184.11 [1696]~E(x16961,x16962)+E(f656(x16963,x16961,x16964,x16965,x16966),f656(x16963,x16962,x16964,x16965,x16966))
% 184.29/184.11 [1697]~E(x16971,x16972)+E(f656(x16973,x16974,x16971,x16975,x16976),f656(x16973,x16974,x16972,x16975,x16976))
% 184.29/184.11 [1698]~E(x16981,x16982)+E(f656(x16983,x16984,x16985,x16981,x16986),f656(x16983,x16984,x16985,x16982,x16986))
% 184.29/184.11 [1699]~E(x16991,x16992)+E(f656(x16993,x16994,x16995,x16996,x16991),f656(x16993,x16994,x16995,x16996,x16992))
% 184.29/184.11 [1700]~E(x17001,x17002)+E(f316(x17001,x17003,x17004,x17005),f316(x17002,x17003,x17004,x17005))
% 184.29/184.11 [1701]~E(x17011,x17012)+E(f316(x17013,x17011,x17014,x17015),f316(x17013,x17012,x17014,x17015))
% 184.29/184.11 [1702]~E(x17021,x17022)+E(f316(x17023,x17024,x17021,x17025),f316(x17023,x17024,x17022,x17025))
% 184.29/184.11 [1703]~E(x17031,x17032)+E(f316(x17033,x17034,x17035,x17031),f316(x17033,x17034,x17035,x17032))
% 184.29/184.11 [1704]~E(x17041,x17042)+E(f358(x17041,x17043,x17044,x17045),f358(x17042,x17043,x17044,x17045))
% 184.29/184.11 [1705]~E(x17051,x17052)+E(f358(x17053,x17051,x17054,x17055),f358(x17053,x17052,x17054,x17055))
% 184.29/184.11 [1706]~E(x17061,x17062)+E(f358(x17063,x17064,x17061,x17065),f358(x17063,x17064,x17062,x17065))
% 184.29/184.11 [1707]~E(x17071,x17072)+E(f358(x17073,x17074,x17075,x17071),f358(x17073,x17074,x17075,x17072))
% 184.29/184.11 [1708]~E(x17081,x17082)+E(f530(x17081,x17083,x17084),f530(x17082,x17083,x17084))
% 184.29/184.11 [1709]~E(x17091,x17092)+E(f530(x17093,x17091,x17094),f530(x17093,x17092,x17094))
% 184.29/184.11 [1710]~E(x17101,x17102)+E(f530(x17103,x17104,x17101),f530(x17103,x17104,x17102))
% 184.29/184.11 [1711]~E(x17111,x17112)+E(f704(x17111,x17113,x17114,x17115),f704(x17112,x17113,x17114,x17115))
% 184.29/184.11 [1712]~E(x17121,x17122)+E(f704(x17123,x17121,x17124,x17125),f704(x17123,x17122,x17124,x17125))
% 184.29/184.11 [1713]~E(x17131,x17132)+E(f704(x17133,x17134,x17131,x17135),f704(x17133,x17134,x17132,x17135))
% 184.29/184.11 [1714]~E(x17141,x17142)+E(f704(x17143,x17144,x17145,x17141),f704(x17143,x17144,x17145,x17142))
% 184.29/184.11 [1715]~E(x17151,x17152)+E(f793(x17151,x17153,x17154),f793(x17152,x17153,x17154))
% 184.29/184.11 [1716]~E(x17161,x17162)+E(f793(x17163,x17161,x17164),f793(x17163,x17162,x17164))
% 184.29/184.11 [1717]~E(x17171,x17172)+E(f793(x17173,x17174,x17171),f793(x17173,x17174,x17172))
% 184.29/184.11 [1718]~E(x17181,x17182)+E(f222(x17181,x17183,x17184),f222(x17182,x17183,x17184))
% 184.29/184.11 [1719]~E(x17191,x17192)+E(f222(x17193,x17191,x17194),f222(x17193,x17192,x17194))
% 184.29/184.11 [1720]~E(x17201,x17202)+E(f222(x17203,x17204,x17201),f222(x17203,x17204,x17202))
% 184.29/184.11 [1721]~E(x17211,x17212)+E(f220(x17211,x17213,x17214,x17215,x17216),f220(x17212,x17213,x17214,x17215,x17216))
% 184.29/184.11 [1722]~E(x17221,x17222)+E(f220(x17223,x17221,x17224,x17225,x17226),f220(x17223,x17222,x17224,x17225,x17226))
% 184.29/184.11 [1723]~E(x17231,x17232)+E(f220(x17233,x17234,x17231,x17235,x17236),f220(x17233,x17234,x17232,x17235,x17236))
% 184.29/184.11 [1724]~E(x17241,x17242)+E(f220(x17243,x17244,x17245,x17241,x17246),f220(x17243,x17244,x17245,x17242,x17246))
% 184.29/184.11 [1725]~E(x17251,x17252)+E(f220(x17253,x17254,x17255,x17256,x17251),f220(x17253,x17254,x17255,x17256,x17252))
% 184.29/184.11 [1726]~E(x17261,x17262)+E(f64(x17261,x17263,x17264),f64(x17262,x17263,x17264))
% 184.29/184.11 [1727]~E(x17271,x17272)+E(f64(x17273,x17271,x17274),f64(x17273,x17272,x17274))
% 184.29/184.11 [1728]~E(x17281,x17282)+E(f64(x17283,x17284,x17281),f64(x17283,x17284,x17282))
% 184.29/184.11 [1729]~E(x17291,x17292)+E(f646(x17291,x17293,x17294),f646(x17292,x17293,x17294))
% 184.29/184.11 [1730]~E(x17301,x17302)+E(f646(x17303,x17301,x17304),f646(x17303,x17302,x17304))
% 184.29/184.11 [1731]~E(x17311,x17312)+E(f646(x17313,x17314,x17311),f646(x17313,x17314,x17312))
% 184.29/184.11 [1732]~E(x17321,x17322)+E(f389(x17321,x17323,x17324,x17325,x17326),f389(x17322,x17323,x17324,x17325,x17326))
% 184.29/184.11 [1733]~E(x17331,x17332)+E(f389(x17333,x17331,x17334,x17335,x17336),f389(x17333,x17332,x17334,x17335,x17336))
% 184.29/184.11 [1734]~E(x17341,x17342)+E(f389(x17343,x17344,x17341,x17345,x17346),f389(x17343,x17344,x17342,x17345,x17346))
% 184.29/184.11 [1735]~E(x17351,x17352)+E(f389(x17353,x17354,x17355,x17351,x17356),f389(x17353,x17354,x17355,x17352,x17356))
% 184.29/184.11 [1736]~E(x17361,x17362)+E(f389(x17363,x17364,x17365,x17366,x17361),f389(x17363,x17364,x17365,x17366,x17362))
% 184.29/184.11 [1737]~E(x17371,x17372)+E(f234(x17371,x17373),f234(x17372,x17373))
% 184.29/184.11 [1738]~E(x17381,x17382)+E(f234(x17383,x17381),f234(x17383,x17382))
% 184.29/184.11 [1739]~E(x17391,x17392)+E(f746(x17391,x17393,x17394),f746(x17392,x17393,x17394))
% 184.29/184.11 [1740]~E(x17401,x17402)+E(f746(x17403,x17401,x17404),f746(x17403,x17402,x17404))
% 184.29/184.11 [1741]~E(x17411,x17412)+E(f746(x17413,x17414,x17411),f746(x17413,x17414,x17412))
% 184.29/184.11 [1742]~E(x17421,x17422)+E(f380(x17421,x17423,x17424,x17425,x17426),f380(x17422,x17423,x17424,x17425,x17426))
% 184.29/184.11 [1743]~E(x17431,x17432)+E(f380(x17433,x17431,x17434,x17435,x17436),f380(x17433,x17432,x17434,x17435,x17436))
% 184.29/184.11 [1744]~E(x17441,x17442)+E(f380(x17443,x17444,x17441,x17445,x17446),f380(x17443,x17444,x17442,x17445,x17446))
% 184.29/184.11 [1745]~E(x17451,x17452)+E(f380(x17453,x17454,x17455,x17451,x17456),f380(x17453,x17454,x17455,x17452,x17456))
% 184.29/184.11 [1746]~E(x17461,x17462)+E(f380(x17463,x17464,x17465,x17466,x17461),f380(x17463,x17464,x17465,x17466,x17462))
% 184.29/184.11 [1747]~E(x17471,x17472)+E(f365(x17471,x17473,x17474,x17475,x17476),f365(x17472,x17473,x17474,x17475,x17476))
% 184.29/184.11 [1748]~E(x17481,x17482)+E(f365(x17483,x17481,x17484,x17485,x17486),f365(x17483,x17482,x17484,x17485,x17486))
% 184.29/184.11 [1749]~E(x17491,x17492)+E(f365(x17493,x17494,x17491,x17495,x17496),f365(x17493,x17494,x17492,x17495,x17496))
% 184.29/184.11 [1750]~E(x17501,x17502)+E(f365(x17503,x17504,x17505,x17501,x17506),f365(x17503,x17504,x17505,x17502,x17506))
% 184.29/184.11 [1751]~E(x17511,x17512)+E(f365(x17513,x17514,x17515,x17516,x17511),f365(x17513,x17514,x17515,x17516,x17512))
% 184.29/184.11 [1752]~E(x17521,x17522)+E(f578(x17521,x17523,x17524,x17525,x17526,x17527,x17528),f578(x17522,x17523,x17524,x17525,x17526,x17527,x17528))
% 184.29/184.11 [1753]~E(x17531,x17532)+E(f578(x17533,x17531,x17534,x17535,x17536,x17537,x17538),f578(x17533,x17532,x17534,x17535,x17536,x17537,x17538))
% 184.29/184.11 [1754]~E(x17541,x17542)+E(f578(x17543,x17544,x17541,x17545,x17546,x17547,x17548),f578(x17543,x17544,x17542,x17545,x17546,x17547,x17548))
% 184.29/184.11 [1755]~E(x17551,x17552)+E(f578(x17553,x17554,x17555,x17551,x17556,x17557,x17558),f578(x17553,x17554,x17555,x17552,x17556,x17557,x17558))
% 184.29/184.11 [1756]~E(x17561,x17562)+E(f578(x17563,x17564,x17565,x17566,x17561,x17567,x17568),f578(x17563,x17564,x17565,x17566,x17562,x17567,x17568))
% 184.29/184.11 [1757]~E(x17571,x17572)+E(f578(x17573,x17574,x17575,x17576,x17577,x17571,x17578),f578(x17573,x17574,x17575,x17576,x17577,x17572,x17578))
% 184.29/184.11 [1758]~E(x17581,x17582)+E(f578(x17583,x17584,x17585,x17586,x17587,x17588,x17581),f578(x17583,x17584,x17585,x17586,x17587,x17588,x17582))
% 184.29/184.11 [1759]~E(x17591,x17592)+E(f680(x17591,x17593),f680(x17592,x17593))
% 184.29/184.11 [1760]~E(x17601,x17602)+E(f680(x17603,x17601),f680(x17603,x17602))
% 184.29/184.11 [1761]~E(x17611,x17612)+E(f729(x17611,x17613,x17614),f729(x17612,x17613,x17614))
% 184.29/184.11 [1762]~E(x17621,x17622)+E(f729(x17623,x17621,x17624),f729(x17623,x17622,x17624))
% 184.29/184.11 [1763]~E(x17631,x17632)+E(f729(x17633,x17634,x17631),f729(x17633,x17634,x17632))
% 184.29/184.11 [1764]~E(x17641,x17642)+E(f318(x17641,x17643,x17644,x17645,x17646),f318(x17642,x17643,x17644,x17645,x17646))
% 184.29/184.11 [1765]~E(x17651,x17652)+E(f318(x17653,x17651,x17654,x17655,x17656),f318(x17653,x17652,x17654,x17655,x17656))
% 184.29/184.11 [1766]~E(x17661,x17662)+E(f318(x17663,x17664,x17661,x17665,x17666),f318(x17663,x17664,x17662,x17665,x17666))
% 184.29/184.11 [1767]~E(x17671,x17672)+E(f318(x17673,x17674,x17675,x17671,x17676),f318(x17673,x17674,x17675,x17672,x17676))
% 184.29/184.11 [1768]~E(x17681,x17682)+E(f318(x17683,x17684,x17685,x17686,x17681),f318(x17683,x17684,x17685,x17686,x17682))
% 184.29/184.11 [1769]~E(x17691,x17692)+E(f284(x17691,x17693),f284(x17692,x17693))
% 184.29/184.11 [1770]~E(x17701,x17702)+E(f284(x17703,x17701),f284(x17703,x17702))
% 184.29/184.11 [1771]~E(x17711,x17712)+E(f615(x17711,x17713,x17714,x17715,x17716,x17717),f615(x17712,x17713,x17714,x17715,x17716,x17717))
% 184.29/184.11 [1772]~E(x17721,x17722)+E(f615(x17723,x17721,x17724,x17725,x17726,x17727),f615(x17723,x17722,x17724,x17725,x17726,x17727))
% 184.29/184.11 [1773]~E(x17731,x17732)+E(f615(x17733,x17734,x17731,x17735,x17736,x17737),f615(x17733,x17734,x17732,x17735,x17736,x17737))
% 184.29/184.11 [1774]~E(x17741,x17742)+E(f615(x17743,x17744,x17745,x17741,x17746,x17747),f615(x17743,x17744,x17745,x17742,x17746,x17747))
% 184.29/184.11 [1775]~E(x17751,x17752)+E(f615(x17753,x17754,x17755,x17756,x17751,x17757),f615(x17753,x17754,x17755,x17756,x17752,x17757))
% 184.29/184.11 [1776]~E(x17761,x17762)+E(f615(x17763,x17764,x17765,x17766,x17767,x17761),f615(x17763,x17764,x17765,x17766,x17767,x17762))
% 184.29/184.11 [1777]~E(x17771,x17772)+E(f645(x17771,x17773,x17774,x17775,x17776),f645(x17772,x17773,x17774,x17775,x17776))
% 184.29/184.11 [1778]~E(x17781,x17782)+E(f645(x17783,x17781,x17784,x17785,x17786),f645(x17783,x17782,x17784,x17785,x17786))
% 184.29/184.11 [1779]~E(x17791,x17792)+E(f645(x17793,x17794,x17791,x17795,x17796),f645(x17793,x17794,x17792,x17795,x17796))
% 184.29/184.11 [1780]~E(x17801,x17802)+E(f645(x17803,x17804,x17805,x17801,x17806),f645(x17803,x17804,x17805,x17802,x17806))
% 184.29/184.11 [1781]~E(x17811,x17812)+E(f645(x17813,x17814,x17815,x17816,x17811),f645(x17813,x17814,x17815,x17816,x17812))
% 184.29/184.11 [1782]~E(x17821,x17822)+E(f386(x17821,x17823,x17824,x17825,x17826),f386(x17822,x17823,x17824,x17825,x17826))
% 184.29/184.11 [1783]~E(x17831,x17832)+E(f386(x17833,x17831,x17834,x17835,x17836),f386(x17833,x17832,x17834,x17835,x17836))
% 184.29/184.11 [1784]~E(x17841,x17842)+E(f386(x17843,x17844,x17841,x17845,x17846),f386(x17843,x17844,x17842,x17845,x17846))
% 184.29/184.11 [1785]~E(x17851,x17852)+E(f386(x17853,x17854,x17855,x17851,x17856),f386(x17853,x17854,x17855,x17852,x17856))
% 184.29/184.11 [1786]~E(x17861,x17862)+E(f386(x17863,x17864,x17865,x17866,x17861),f386(x17863,x17864,x17865,x17866,x17862))
% 184.29/184.11 [1787]~E(x17871,x17872)+E(f453(x17871,x17873,x17874,x17875,x17876,x17877,x17878),f453(x17872,x17873,x17874,x17875,x17876,x17877,x17878))
% 184.29/184.11 [1788]~E(x17881,x17882)+E(f453(x17883,x17881,x17884,x17885,x17886,x17887,x17888),f453(x17883,x17882,x17884,x17885,x17886,x17887,x17888))
% 184.29/184.11 [1789]~E(x17891,x17892)+E(f453(x17893,x17894,x17891,x17895,x17896,x17897,x17898),f453(x17893,x17894,x17892,x17895,x17896,x17897,x17898))
% 184.29/184.11 [1790]~E(x17901,x17902)+E(f453(x17903,x17904,x17905,x17901,x17906,x17907,x17908),f453(x17903,x17904,x17905,x17902,x17906,x17907,x17908))
% 184.29/184.11 [1791]~E(x17911,x17912)+E(f453(x17913,x17914,x17915,x17916,x17911,x17917,x17918),f453(x17913,x17914,x17915,x17916,x17912,x17917,x17918))
% 184.29/184.11 [1792]~E(x17921,x17922)+E(f453(x17923,x17924,x17925,x17926,x17927,x17921,x17928),f453(x17923,x17924,x17925,x17926,x17927,x17922,x17928))
% 184.29/184.11 [1793]~E(x17931,x17932)+E(f453(x17933,x17934,x17935,x17936,x17937,x17938,x17931),f453(x17933,x17934,x17935,x17936,x17937,x17938,x17932))
% 184.29/184.11 [1794]~E(x17941,x17942)+E(f760(x17941,x17943),f760(x17942,x17943))
% 184.29/184.11 [1795]~E(x17951,x17952)+E(f760(x17953,x17951),f760(x17953,x17952))
% 184.29/184.11 [1796]~E(x17961,x17962)+E(f119(x17961,x17963,x17964,x17965),f119(x17962,x17963,x17964,x17965))
% 184.29/184.11 [1797]~E(x17971,x17972)+E(f119(x17973,x17971,x17974,x17975),f119(x17973,x17972,x17974,x17975))
% 184.29/184.11 [1798]~E(x17981,x17982)+E(f119(x17983,x17984,x17981,x17985),f119(x17983,x17984,x17982,x17985))
% 184.29/184.11 [1799]~E(x17991,x17992)+E(f119(x17993,x17994,x17995,x17991),f119(x17993,x17994,x17995,x17992))
% 184.29/184.11 [1800]~E(x18001,x18002)+E(f515(x18001,x18003,x18004,x18005),f515(x18002,x18003,x18004,x18005))
% 184.29/184.11 [1801]~E(x18011,x18012)+E(f515(x18013,x18011,x18014,x18015),f515(x18013,x18012,x18014,x18015))
% 184.29/184.11 [1802]~E(x18021,x18022)+E(f515(x18023,x18024,x18021,x18025),f515(x18023,x18024,x18022,x18025))
% 184.29/184.11 [1803]~E(x18031,x18032)+E(f515(x18033,x18034,x18035,x18031),f515(x18033,x18034,x18035,x18032))
% 184.29/184.11 [1804]~E(x18041,x18042)+E(f721(x18041,x18043),f721(x18042,x18043))
% 184.29/184.11 [1805]~E(x18051,x18052)+E(f721(x18053,x18051),f721(x18053,x18052))
% 184.29/184.11 [1806]~E(x18061,x18062)+E(f195(x18061),f195(x18062))
% 184.29/184.11 [1807]~E(x18071,x18072)+E(f353(x18071,x18073),f353(x18072,x18073))
% 184.29/184.11 [1808]~E(x18081,x18082)+E(f353(x18083,x18081),f353(x18083,x18082))
% 184.29/184.11 [1809]~E(x18091,x18092)+E(f790(x18091,x18093),f790(x18092,x18093))
% 184.29/184.11 [1810]~E(x18101,x18102)+E(f790(x18103,x18101),f790(x18103,x18102))
% 184.29/184.11 [1811]~E(x18111,x18112)+E(f400(x18111,x18113),f400(x18112,x18113))
% 184.29/184.11 [1812]~E(x18121,x18122)+E(f400(x18123,x18121),f400(x18123,x18122))
% 184.29/184.11 [1813]~E(x18131,x18132)+E(f772(x18131),f772(x18132))
% 184.29/184.11 [1814]~E(x18141,x18142)+E(f424(x18141,x18143,x18144,x18145),f424(x18142,x18143,x18144,x18145))
% 184.29/184.11 [1815]~E(x18151,x18152)+E(f424(x18153,x18151,x18154,x18155),f424(x18153,x18152,x18154,x18155))
% 184.29/184.11 [1816]~E(x18161,x18162)+E(f424(x18163,x18164,x18161,x18165),f424(x18163,x18164,x18162,x18165))
% 184.29/184.11 [1817]~E(x18171,x18172)+E(f424(x18173,x18174,x18175,x18171),f424(x18173,x18174,x18175,x18172))
% 184.29/184.11 [1818]~E(x18181,x18182)+E(f121(x18181,x18183,x18184,x18185),f121(x18182,x18183,x18184,x18185))
% 184.29/184.11 [1819]~E(x18191,x18192)+E(f121(x18193,x18191,x18194,x18195),f121(x18193,x18192,x18194,x18195))
% 184.29/184.11 [1820]~E(x18201,x18202)+E(f121(x18203,x18204,x18201,x18205),f121(x18203,x18204,x18202,x18205))
% 184.29/184.11 [1821]~E(x18211,x18212)+E(f121(x18213,x18214,x18215,x18211),f121(x18213,x18214,x18215,x18212))
% 184.29/184.11 [1822]~E(x18221,x18222)+E(f464(x18221,x18223,x18224,x18225,x18226,x18227),f464(x18222,x18223,x18224,x18225,x18226,x18227))
% 184.29/184.11 [1823]~E(x18231,x18232)+E(f464(x18233,x18231,x18234,x18235,x18236,x18237),f464(x18233,x18232,x18234,x18235,x18236,x18237))
% 184.29/184.11 [1824]~E(x18241,x18242)+E(f464(x18243,x18244,x18241,x18245,x18246,x18247),f464(x18243,x18244,x18242,x18245,x18246,x18247))
% 184.29/184.11 [1825]~E(x18251,x18252)+E(f464(x18253,x18254,x18255,x18251,x18256,x18257),f464(x18253,x18254,x18255,x18252,x18256,x18257))
% 184.29/184.11 [1826]~E(x18261,x18262)+E(f464(x18263,x18264,x18265,x18266,x18261,x18267),f464(x18263,x18264,x18265,x18266,x18262,x18267))
% 184.29/184.11 [1827]~E(x18271,x18272)+E(f464(x18273,x18274,x18275,x18276,x18277,x18271),f464(x18273,x18274,x18275,x18276,x18277,x18272))
% 184.29/184.11 [1828]~E(x18281,x18282)+E(f722(x18281,x18283),f722(x18282,x18283))
% 184.29/184.11 [1829]~E(x18291,x18292)+E(f722(x18293,x18291),f722(x18293,x18292))
% 184.29/184.11 [1830]~E(x18301,x18302)+E(f700(x18301,x18303,x18304,x18305),f700(x18302,x18303,x18304,x18305))
% 184.29/184.11 [1831]~E(x18311,x18312)+E(f700(x18313,x18311,x18314,x18315),f700(x18313,x18312,x18314,x18315))
% 184.29/184.11 [1832]~E(x18321,x18322)+E(f700(x18323,x18324,x18321,x18325),f700(x18323,x18324,x18322,x18325))
% 184.29/184.11 [1833]~E(x18331,x18332)+E(f700(x18333,x18334,x18335,x18331),f700(x18333,x18334,x18335,x18332))
% 184.29/184.11 [1834]~E(x18341,x18342)+E(f272(x18341,x18343,x18344,x18345),f272(x18342,x18343,x18344,x18345))
% 184.29/184.11 [1835]~E(x18351,x18352)+E(f272(x18353,x18351,x18354,x18355),f272(x18353,x18352,x18354,x18355))
% 184.29/184.11 [1836]~E(x18361,x18362)+E(f272(x18363,x18364,x18361,x18365),f272(x18363,x18364,x18362,x18365))
% 184.29/184.11 [1837]~E(x18371,x18372)+E(f272(x18373,x18374,x18375,x18371),f272(x18373,x18374,x18375,x18372))
% 184.29/184.11 [1838]~E(x18381,x18382)+E(f430(x18381,x18383,x18384,x18385,x18386,x18387,x18388),f430(x18382,x18383,x18384,x18385,x18386,x18387,x18388))
% 184.29/184.11 [1839]~E(x18391,x18392)+E(f430(x18393,x18391,x18394,x18395,x18396,x18397,x18398),f430(x18393,x18392,x18394,x18395,x18396,x18397,x18398))
% 184.29/184.11 [1840]~E(x18401,x18402)+E(f430(x18403,x18404,x18401,x18405,x18406,x18407,x18408),f430(x18403,x18404,x18402,x18405,x18406,x18407,x18408))
% 184.29/184.11 [1841]~E(x18411,x18412)+E(f430(x18413,x18414,x18415,x18411,x18416,x18417,x18418),f430(x18413,x18414,x18415,x18412,x18416,x18417,x18418))
% 184.29/184.11 [1842]~E(x18421,x18422)+E(f430(x18423,x18424,x18425,x18426,x18421,x18427,x18428),f430(x18423,x18424,x18425,x18426,x18422,x18427,x18428))
% 184.29/184.11 [1843]~E(x18431,x18432)+E(f430(x18433,x18434,x18435,x18436,x18437,x18431,x18438),f430(x18433,x18434,x18435,x18436,x18437,x18432,x18438))
% 184.29/184.11 [1844]~E(x18441,x18442)+E(f430(x18443,x18444,x18445,x18446,x18447,x18448,x18441),f430(x18443,x18444,x18445,x18446,x18447,x18448,x18442))
% 184.29/184.11 [1845]~E(x18451,x18452)+E(f487(x18451,x18453,x18454,x18455),f487(x18452,x18453,x18454,x18455))
% 184.29/184.11 [1846]~E(x18461,x18462)+E(f487(x18463,x18461,x18464,x18465),f487(x18463,x18462,x18464,x18465))
% 184.29/184.11 [1847]~E(x18471,x18472)+E(f487(x18473,x18474,x18471,x18475),f487(x18473,x18474,x18472,x18475))
% 184.29/184.11 [1848]~E(x18481,x18482)+E(f487(x18483,x18484,x18485,x18481),f487(x18483,x18484,x18485,x18482))
% 184.29/184.11 [1849]~E(x18491,x18492)+E(f539(x18491,x18493,x18494,x18495),f539(x18492,x18493,x18494,x18495))
% 184.29/184.11 [1850]~E(x18501,x18502)+E(f539(x18503,x18501,x18504,x18505),f539(x18503,x18502,x18504,x18505))
% 184.29/184.11 [1851]~E(x18511,x18512)+E(f539(x18513,x18514,x18511,x18515),f539(x18513,x18514,x18512,x18515))
% 184.29/184.11 [1852]~E(x18521,x18522)+E(f539(x18523,x18524,x18525,x18521),f539(x18523,x18524,x18525,x18522))
% 184.29/184.11 [1853]~E(x18531,x18532)+E(f511(x18531,x18533,x18534,x18535,x18536),f511(x18532,x18533,x18534,x18535,x18536))
% 184.29/184.11 [1854]~E(x18541,x18542)+E(f511(x18543,x18541,x18544,x18545,x18546),f511(x18543,x18542,x18544,x18545,x18546))
% 184.29/184.11 [1855]~E(x18551,x18552)+E(f511(x18553,x18554,x18551,x18555,x18556),f511(x18553,x18554,x18552,x18555,x18556))
% 184.29/184.11 [1856]~E(x18561,x18562)+E(f511(x18563,x18564,x18565,x18561,x18566),f511(x18563,x18564,x18565,x18562,x18566))
% 184.29/184.11 [1857]~E(x18571,x18572)+E(f511(x18573,x18574,x18575,x18576,x18571),f511(x18573,x18574,x18575,x18576,x18572))
% 184.29/184.11 [1858]~E(x18581,x18582)+E(f720(x18581,x18583,x18584,x18585,x18586),f720(x18582,x18583,x18584,x18585,x18586))
% 184.29/184.11 [1859]~E(x18591,x18592)+E(f720(x18593,x18591,x18594,x18595,x18596),f720(x18593,x18592,x18594,x18595,x18596))
% 184.29/184.11 [1860]~E(x18601,x18602)+E(f720(x18603,x18604,x18601,x18605,x18606),f720(x18603,x18604,x18602,x18605,x18606))
% 184.29/184.11 [1861]~E(x18611,x18612)+E(f720(x18613,x18614,x18615,x18611,x18616),f720(x18613,x18614,x18615,x18612,x18616))
% 184.29/184.11 [1862]~E(x18621,x18622)+E(f720(x18623,x18624,x18625,x18626,x18621),f720(x18623,x18624,x18625,x18626,x18622))
% 184.29/184.11 [1863]~E(x18631,x18632)+E(f118(x18631,x18633,x18634,x18635),f118(x18632,x18633,x18634,x18635))
% 184.29/184.11 [1864]~E(x18641,x18642)+E(f118(x18643,x18641,x18644,x18645),f118(x18643,x18642,x18644,x18645))
% 184.29/184.11 [1865]~E(x18651,x18652)+E(f118(x18653,x18654,x18651,x18655),f118(x18653,x18654,x18652,x18655))
% 184.29/184.11 [1866]~E(x18661,x18662)+E(f118(x18663,x18664,x18665,x18661),f118(x18663,x18664,x18665,x18662))
% 184.29/184.11 [1867]~E(x18671,x18672)+E(f538(x18671,x18673,x18674,x18675,x18676),f538(x18672,x18673,x18674,x18675,x18676))
% 184.29/184.11 [1868]~E(x18681,x18682)+E(f538(x18683,x18681,x18684,x18685,x18686),f538(x18683,x18682,x18684,x18685,x18686))
% 184.29/184.11 [1869]~E(x18691,x18692)+E(f538(x18693,x18694,x18691,x18695,x18696),f538(x18693,x18694,x18692,x18695,x18696))
% 184.29/184.11 [1870]~E(x18701,x18702)+E(f538(x18703,x18704,x18705,x18701,x18706),f538(x18703,x18704,x18705,x18702,x18706))
% 184.29/184.11 [1871]~E(x18711,x18712)+E(f538(x18713,x18714,x18715,x18716,x18711),f538(x18713,x18714,x18715,x18716,x18712))
% 184.29/184.11 [1872]~E(x18721,x18722)+E(f224(x18721,x18723,x18724),f224(x18722,x18723,x18724))
% 184.29/184.11 [1873]~E(x18731,x18732)+E(f224(x18733,x18731,x18734),f224(x18733,x18732,x18734))
% 184.29/184.11 [1874]~E(x18741,x18742)+E(f224(x18743,x18744,x18741),f224(x18743,x18744,x18742))
% 184.29/184.11 [1875]~E(x18751,x18752)+E(f385(x18751,x18753,x18754,x18755),f385(x18752,x18753,x18754,x18755))
% 184.29/184.11 [1876]~E(x18761,x18762)+E(f385(x18763,x18761,x18764,x18765),f385(x18763,x18762,x18764,x18765))
% 184.29/184.11 [1877]~E(x18771,x18772)+E(f385(x18773,x18774,x18771,x18775),f385(x18773,x18774,x18772,x18775))
% 184.29/184.11 [1878]~E(x18781,x18782)+E(f385(x18783,x18784,x18785,x18781),f385(x18783,x18784,x18785,x18782))
% 184.29/184.11 [1879]~E(x18791,x18792)+E(f171(x18791,x18793,x18794),f171(x18792,x18793,x18794))
% 184.29/184.11 [1880]~E(x18801,x18802)+E(f171(x18803,x18801,x18804),f171(x18803,x18802,x18804))
% 184.29/184.11 [1881]~E(x18811,x18812)+E(f171(x18813,x18814,x18811),f171(x18813,x18814,x18812))
% 184.29/184.11 [1882]~E(x18821,x18822)+E(f589(x18821,x18823),f589(x18822,x18823))
% 184.29/184.11 [1883]~E(x18831,x18832)+E(f589(x18833,x18831),f589(x18833,x18832))
% 184.29/184.11 [1884]~E(x18841,x18842)+E(f317(x18841,x18843,x18844,x18845),f317(x18842,x18843,x18844,x18845))
% 184.29/184.11 [1885]~E(x18851,x18852)+E(f317(x18853,x18851,x18854,x18855),f317(x18853,x18852,x18854,x18855))
% 184.29/184.11 [1886]~E(x18861,x18862)+E(f317(x18863,x18864,x18861,x18865),f317(x18863,x18864,x18862,x18865))
% 184.29/184.11 [1887]~E(x18871,x18872)+E(f317(x18873,x18874,x18875,x18871),f317(x18873,x18874,x18875,x18872))
% 184.29/184.11 [1888]~E(x18881,x18882)+E(f152(x18881,x18883),f152(x18882,x18883))
% 184.29/184.11 [1889]~E(x18891,x18892)+E(f152(x18893,x18891),f152(x18893,x18892))
% 184.29/184.11 [1890]~E(x18901,x18902)+E(f668(x18901,x18903,x18904,x18905,x18906,x18907,x18908),f668(x18902,x18903,x18904,x18905,x18906,x18907,x18908))
% 184.29/184.11 [1891]~E(x18911,x18912)+E(f668(x18913,x18911,x18914,x18915,x18916,x18917,x18918),f668(x18913,x18912,x18914,x18915,x18916,x18917,x18918))
% 184.29/184.11 [1892]~E(x18921,x18922)+E(f668(x18923,x18924,x18921,x18925,x18926,x18927,x18928),f668(x18923,x18924,x18922,x18925,x18926,x18927,x18928))
% 184.29/184.11 [1893]~E(x18931,x18932)+E(f668(x18933,x18934,x18935,x18931,x18936,x18937,x18938),f668(x18933,x18934,x18935,x18932,x18936,x18937,x18938))
% 184.29/184.11 [1894]~E(x18941,x18942)+E(f668(x18943,x18944,x18945,x18946,x18941,x18947,x18948),f668(x18943,x18944,x18945,x18946,x18942,x18947,x18948))
% 184.29/184.11 [1895]~E(x18951,x18952)+E(f668(x18953,x18954,x18955,x18956,x18957,x18951,x18958),f668(x18953,x18954,x18955,x18956,x18957,x18952,x18958))
% 184.29/184.11 [1896]~E(x18961,x18962)+E(f668(x18963,x18964,x18965,x18966,x18967,x18968,x18961),f668(x18963,x18964,x18965,x18966,x18967,x18968,x18962))
% 184.29/184.11 [1897]~E(x18971,x18972)+E(f736(x18971,x18973),f736(x18972,x18973))
% 184.29/184.11 [1898]~E(x18981,x18982)+E(f736(x18983,x18981),f736(x18983,x18982))
% 184.29/184.11 [1899]~E(x18991,x18992)+E(f719(x18991,x18993,x18994,x18995,x18996),f719(x18992,x18993,x18994,x18995,x18996))
% 184.29/184.11 [1900]~E(x19001,x19002)+E(f719(x19003,x19001,x19004,x19005,x19006),f719(x19003,x19002,x19004,x19005,x19006))
% 184.29/184.11 [1901]~E(x19011,x19012)+E(f719(x19013,x19014,x19011,x19015,x19016),f719(x19013,x19014,x19012,x19015,x19016))
% 184.29/184.11 [1902]~E(x19021,x19022)+E(f719(x19023,x19024,x19025,x19021,x19026),f719(x19023,x19024,x19025,x19022,x19026))
% 184.29/184.11 [1903]~E(x19031,x19032)+E(f719(x19033,x19034,x19035,x19036,x19031),f719(x19033,x19034,x19035,x19036,x19032))
% 184.29/184.11 [1904]~E(x19041,x19042)+E(f593(x19041,x19043,x19044,x19045),f593(x19042,x19043,x19044,x19045))
% 184.29/184.11 [1905]~E(x19051,x19052)+E(f593(x19053,x19051,x19054,x19055),f593(x19053,x19052,x19054,x19055))
% 184.29/184.11 [1906]~E(x19061,x19062)+E(f593(x19063,x19064,x19061,x19065),f593(x19063,x19064,x19062,x19065))
% 184.29/184.11 [1907]~E(x19071,x19072)+E(f593(x19073,x19074,x19075,x19071),f593(x19073,x19074,x19075,x19072))
% 184.29/184.11 [1908]~E(x19081,x19082)+E(f667(x19081,x19083,x19084,x19085,x19086),f667(x19082,x19083,x19084,x19085,x19086))
% 184.29/184.11 [1909]~E(x19091,x19092)+E(f667(x19093,x19091,x19094,x19095,x19096),f667(x19093,x19092,x19094,x19095,x19096))
% 184.29/184.11 [1910]~E(x19101,x19102)+E(f667(x19103,x19104,x19101,x19105,x19106),f667(x19103,x19104,x19102,x19105,x19106))
% 184.29/184.11 [1911]~E(x19111,x19112)+E(f667(x19113,x19114,x19115,x19111,x19116),f667(x19113,x19114,x19115,x19112,x19116))
% 184.29/184.11 [1912]~E(x19121,x19122)+E(f667(x19123,x19124,x19125,x19126,x19121),f667(x19123,x19124,x19125,x19126,x19122))
% 184.29/184.11 [1913]~E(x19131,x19132)+E(f465(x19131,x19133,x19134),f465(x19132,x19133,x19134))
% 184.29/184.11 [1914]~E(x19141,x19142)+E(f465(x19143,x19141,x19144),f465(x19143,x19142,x19144))
% 184.29/184.11 [1915]~E(x19151,x19152)+E(f465(x19153,x19154,x19151),f465(x19153,x19154,x19152))
% 184.29/184.11 [1916]~E(x19161,x19162)+E(f587(x19161,x19163,x19164,x19165,x19166,x19167),f587(x19162,x19163,x19164,x19165,x19166,x19167))
% 184.29/184.11 [1917]~E(x19171,x19172)+E(f587(x19173,x19171,x19174,x19175,x19176,x19177),f587(x19173,x19172,x19174,x19175,x19176,x19177))
% 184.29/184.11 [1918]~E(x19181,x19182)+E(f587(x19183,x19184,x19181,x19185,x19186,x19187),f587(x19183,x19184,x19182,x19185,x19186,x19187))
% 184.29/184.11 [1919]~E(x19191,x19192)+E(f587(x19193,x19194,x19195,x19191,x19196,x19197),f587(x19193,x19194,x19195,x19192,x19196,x19197))
% 184.29/184.11 [1920]~E(x19201,x19202)+E(f587(x19203,x19204,x19205,x19206,x19201,x19207),f587(x19203,x19204,x19205,x19206,x19202,x19207))
% 184.29/184.11 [1921]~E(x19211,x19212)+E(f587(x19213,x19214,x19215,x19216,x19217,x19211),f587(x19213,x19214,x19215,x19216,x19217,x19212))
% 184.29/184.11 [1922]~E(x19221,x19222)+E(f217(x19221,x19223,x19224),f217(x19222,x19223,x19224))
% 184.29/184.11 [1923]~E(x19231,x19232)+E(f217(x19233,x19231,x19234),f217(x19233,x19232,x19234))
% 184.29/184.11 [1924]~E(x19241,x19242)+E(f217(x19243,x19244,x19241),f217(x19243,x19244,x19242))
% 184.29/184.11 [1925]~E(x19251,x19252)+E(f809(x19251,x19253,x19254),f809(x19252,x19253,x19254))
% 184.29/184.11 [1926]~E(x19261,x19262)+E(f809(x19263,x19261,x19264),f809(x19263,x19262,x19264))
% 184.29/184.11 [1927]~E(x19271,x19272)+E(f809(x19273,x19274,x19271),f809(x19273,x19274,x19272))
% 184.29/184.11 [1928]~E(x19281,x19282)+E(f198(x19281,x19283),f198(x19282,x19283))
% 184.29/184.11 [1929]~E(x19291,x19292)+E(f198(x19293,x19291),f198(x19293,x19292))
% 184.29/184.11 [1930]~E(x19301,x19302)+E(f462(x19301,x19303,x19304),f462(x19302,x19303,x19304))
% 184.29/184.11 [1931]~E(x19311,x19312)+E(f462(x19313,x19311,x19314),f462(x19313,x19312,x19314))
% 184.29/184.11 [1932]~E(x19321,x19322)+E(f462(x19323,x19324,x19321),f462(x19323,x19324,x19322))
% 184.29/184.11 [1933]~E(x19331,x19332)+E(f632(x19331,x19333,x19334),f632(x19332,x19333,x19334))
% 184.29/184.11 [1934]~E(x19341,x19342)+E(f632(x19343,x19341,x19344),f632(x19343,x19342,x19344))
% 184.29/184.11 [1935]~E(x19351,x19352)+E(f632(x19353,x19354,x19351),f632(x19353,x19354,x19352))
% 184.29/184.11 [1936]~E(x19361,x19362)+E(f773(x19361,x19363),f773(x19362,x19363))
% 184.29/184.11 [1937]~E(x19371,x19372)+E(f773(x19373,x19371),f773(x19373,x19372))
% 184.29/184.11 [1938]~E(x19381,x19382)+E(f182(x19381,x19383,x19384,x19385),f182(x19382,x19383,x19384,x19385))
% 184.29/184.11 [1939]~E(x19391,x19392)+E(f182(x19393,x19391,x19394,x19395),f182(x19393,x19392,x19394,x19395))
% 184.29/184.11 [1940]~E(x19401,x19402)+E(f182(x19403,x19404,x19401,x19405),f182(x19403,x19404,x19402,x19405))
% 184.29/184.11 [1941]~E(x19411,x19412)+E(f182(x19413,x19414,x19415,x19411),f182(x19413,x19414,x19415,x19412))
% 184.29/184.11 [1942]~E(x19421,x19422)+E(f545(x19421,x19423,x19424,x19425,x19426),f545(x19422,x19423,x19424,x19425,x19426))
% 184.29/184.11 [1943]~E(x19431,x19432)+E(f545(x19433,x19431,x19434,x19435,x19436),f545(x19433,x19432,x19434,x19435,x19436))
% 184.29/184.11 [1944]~E(x19441,x19442)+E(f545(x19443,x19444,x19441,x19445,x19446),f545(x19443,x19444,x19442,x19445,x19446))
% 184.29/184.11 [1945]~E(x19451,x19452)+E(f545(x19453,x19454,x19455,x19451,x19456),f545(x19453,x19454,x19455,x19452,x19456))
% 184.29/184.11 [1946]~E(x19461,x19462)+E(f545(x19463,x19464,x19465,x19466,x19461),f545(x19463,x19464,x19465,x19466,x19462))
% 184.29/184.11 [1947]~E(x19471,x19472)+E(f636(x19471,x19473,x19474,x19475,x19476,x19477,x19478,x19479),f636(x19472,x19473,x19474,x19475,x19476,x19477,x19478,x19479))
% 184.29/184.11 [1948]~E(x19481,x19482)+E(f636(x19483,x19481,x19484,x19485,x19486,x19487,x19488,x19489),f636(x19483,x19482,x19484,x19485,x19486,x19487,x19488,x19489))
% 184.29/184.11 [1949]~E(x19491,x19492)+E(f636(x19493,x19494,x19491,x19495,x19496,x19497,x19498,x19499),f636(x19493,x19494,x19492,x19495,x19496,x19497,x19498,x19499))
% 184.29/184.11 [1950]~E(x19501,x19502)+E(f636(x19503,x19504,x19505,x19501,x19506,x19507,x19508,x19509),f636(x19503,x19504,x19505,x19502,x19506,x19507,x19508,x19509))
% 184.29/184.11 [1951]~E(x19511,x19512)+E(f636(x19513,x19514,x19515,x19516,x19511,x19517,x19518,x19519),f636(x19513,x19514,x19515,x19516,x19512,x19517,x19518,x19519))
% 184.29/184.11 [1952]~E(x19521,x19522)+E(f636(x19523,x19524,x19525,x19526,x19527,x19521,x19528,x19529),f636(x19523,x19524,x19525,x19526,x19527,x19522,x19528,x19529))
% 184.29/184.11 [1953]~E(x19531,x19532)+E(f636(x19533,x19534,x19535,x19536,x19537,x19538,x19531,x19539),f636(x19533,x19534,x19535,x19536,x19537,x19538,x19532,x19539))
% 184.29/184.11 [1954]~E(x19541,x19542)+E(f636(x19543,x19544,x19545,x19546,x19547,x19548,x19549,x19541),f636(x19543,x19544,x19545,x19546,x19547,x19548,x19549,x19542))
% 184.29/184.11 [1955]~E(x19551,x19552)+E(f203(x19551),f203(x19552))
% 184.29/184.11 [1956]~E(x19561,x19562)+E(f470(x19561,x19563,x19564),f470(x19562,x19563,x19564))
% 184.29/184.11 [1957]~E(x19571,x19572)+E(f470(x19573,x19571,x19574),f470(x19573,x19572,x19574))
% 184.29/184.11 [1958]~E(x19581,x19582)+E(f470(x19583,x19584,x19581),f470(x19583,x19584,x19582))
% 184.29/184.11 [1959]~E(x19591,x19592)+E(f743(x19591,x19593,x19594,x19595),f743(x19592,x19593,x19594,x19595))
% 184.29/184.11 [1960]~E(x19601,x19602)+E(f743(x19603,x19601,x19604,x19605),f743(x19603,x19602,x19604,x19605))
% 184.29/184.11 [1961]~E(x19611,x19612)+E(f743(x19613,x19614,x19611,x19615),f743(x19613,x19614,x19612,x19615))
% 184.29/184.11 [1962]~E(x19621,x19622)+E(f743(x19623,x19624,x19625,x19621),f743(x19623,x19624,x19625,x19622))
% 184.29/184.11 [1963]~E(x19631,x19632)+E(f390(x19631,x19633,x19634,x19635,x19636),f390(x19632,x19633,x19634,x19635,x19636))
% 184.29/184.11 [1964]~E(x19641,x19642)+E(f390(x19643,x19641,x19644,x19645,x19646),f390(x19643,x19642,x19644,x19645,x19646))
% 184.29/184.11 [1965]~E(x19651,x19652)+E(f390(x19653,x19654,x19651,x19655,x19656),f390(x19653,x19654,x19652,x19655,x19656))
% 184.29/184.11 [1966]~E(x19661,x19662)+E(f390(x19663,x19664,x19665,x19661,x19666),f390(x19663,x19664,x19665,x19662,x19666))
% 184.29/184.11 [1967]~E(x19671,x19672)+E(f390(x19673,x19674,x19675,x19676,x19671),f390(x19673,x19674,x19675,x19676,x19672))
% 184.29/184.11 [1968]~E(x19681,x19682)+E(f777(x19681),f777(x19682))
% 184.29/184.11 [1969]~E(x19691,x19692)+E(f396(x19691,x19693,x19694,x19695,x19696),f396(x19692,x19693,x19694,x19695,x19696))
% 184.29/184.11 [1970]~E(x19701,x19702)+E(f396(x19703,x19701,x19704,x19705,x19706),f396(x19703,x19702,x19704,x19705,x19706))
% 184.29/184.11 [1971]~E(x19711,x19712)+E(f396(x19713,x19714,x19711,x19715,x19716),f396(x19713,x19714,x19712,x19715,x19716))
% 184.29/184.11 [1972]~E(x19721,x19722)+E(f396(x19723,x19724,x19725,x19721,x19726),f396(x19723,x19724,x19725,x19722,x19726))
% 184.29/184.11 [1973]~E(x19731,x19732)+E(f396(x19733,x19734,x19735,x19736,x19731),f396(x19733,x19734,x19735,x19736,x19732))
% 184.29/184.11 [1974]~E(x19741,x19742)+E(f737(x19741,x19743,x19744,x19745),f737(x19742,x19743,x19744,x19745))
% 184.29/184.11 [1975]~E(x19751,x19752)+E(f737(x19753,x19751,x19754,x19755),f737(x19753,x19752,x19754,x19755))
% 184.29/184.11 [1976]~E(x19761,x19762)+E(f737(x19763,x19764,x19761,x19765),f737(x19763,x19764,x19762,x19765))
% 184.29/184.11 [1977]~E(x19771,x19772)+E(f737(x19773,x19774,x19775,x19771),f737(x19773,x19774,x19775,x19772))
% 184.29/184.11 [1978]~E(x19781,x19782)+E(f633(x19781,x19783,x19784),f633(x19782,x19783,x19784))
% 184.29/184.11 [1979]~E(x19791,x19792)+E(f633(x19793,x19791,x19794),f633(x19793,x19792,x19794))
% 184.29/184.11 [1980]~E(x19801,x19802)+E(f633(x19803,x19804,x19801),f633(x19803,x19804,x19802))
% 184.29/184.11 [1981]~E(x19811,x19812)+E(f320(x19811,x19813,x19814,x19815,x19816,x19817),f320(x19812,x19813,x19814,x19815,x19816,x19817))
% 184.29/184.11 [1982]~E(x19821,x19822)+E(f320(x19823,x19821,x19824,x19825,x19826,x19827),f320(x19823,x19822,x19824,x19825,x19826,x19827))
% 184.29/184.11 [1983]~E(x19831,x19832)+E(f320(x19833,x19834,x19831,x19835,x19836,x19837),f320(x19833,x19834,x19832,x19835,x19836,x19837))
% 184.29/184.11 [1984]~E(x19841,x19842)+E(f320(x19843,x19844,x19845,x19841,x19846,x19847),f320(x19843,x19844,x19845,x19842,x19846,x19847))
% 184.29/184.11 [1985]~E(x19851,x19852)+E(f320(x19853,x19854,x19855,x19856,x19851,x19857),f320(x19853,x19854,x19855,x19856,x19852,x19857))
% 184.29/184.11 [1986]~E(x19861,x19862)+E(f320(x19863,x19864,x19865,x19866,x19867,x19861),f320(x19863,x19864,x19865,x19866,x19867,x19862))
% 184.29/184.12 [1987]~E(x19871,x19872)+E(f726(x19871,x19873),f726(x19872,x19873))
% 184.29/184.12 [1988]~E(x19881,x19882)+E(f726(x19883,x19881),f726(x19883,x19882))
% 184.29/184.12 [1989]~E(x19891,x19892)+E(f288(x19891,x19893,x19894),f288(x19892,x19893,x19894))
% 184.29/184.12 [1990]~E(x19901,x19902)+E(f288(x19903,x19901,x19904),f288(x19903,x19902,x19904))
% 184.29/184.12 [1991]~E(x19911,x19912)+E(f288(x19913,x19914,x19911),f288(x19913,x19914,x19912))
% 184.29/184.12 [1992]~E(x19921,x19922)+E(f759(x19921),f759(x19922))
% 184.29/184.12 [1993]~E(x19931,x19932)+E(f596(x19931,x19933),f596(x19932,x19933))
% 184.29/184.12 [1994]~E(x19941,x19942)+E(f596(x19943,x19941),f596(x19943,x19942))
% 184.29/184.12 [1995]~E(x19951,x19952)+E(f741(x19951,x19953,x19954,x19955),f741(x19952,x19953,x19954,x19955))
% 184.29/184.12 [1996]~E(x19961,x19962)+E(f741(x19963,x19961,x19964,x19965),f741(x19963,x19962,x19964,x19965))
% 184.29/184.12 [1997]~E(x19971,x19972)+E(f741(x19973,x19974,x19971,x19975),f741(x19973,x19974,x19972,x19975))
% 184.29/184.12 [1998]~E(x19981,x19982)+E(f741(x19983,x19984,x19985,x19981),f741(x19983,x19984,x19985,x19982))
% 184.29/184.12 [1999]~E(x19991,x19992)+E(f553(x19991,x19993,x19994),f553(x19992,x19993,x19994))
% 184.29/184.12 [2000]~E(x20001,x20002)+E(f553(x20003,x20001,x20004),f553(x20003,x20002,x20004))
% 184.29/184.12 [2001]~E(x20011,x20012)+E(f553(x20013,x20014,x20011),f553(x20013,x20014,x20012))
% 184.29/184.12 [2002]~E(x20021,x20022)+E(f692(x20021,x20023,x20024,x20025),f692(x20022,x20023,x20024,x20025))
% 184.29/184.12 [2003]~E(x20031,x20032)+E(f692(x20033,x20031,x20034,x20035),f692(x20033,x20032,x20034,x20035))
% 184.29/184.12 [2004]~E(x20041,x20042)+E(f692(x20043,x20044,x20041,x20045),f692(x20043,x20044,x20042,x20045))
% 184.29/184.12 [2005]~E(x20051,x20052)+E(f692(x20053,x20054,x20055,x20051),f692(x20053,x20054,x20055,x20052))
% 184.29/184.12 [2006]~E(x20061,x20062)+E(f452(x20061,x20063),f452(x20062,x20063))
% 184.29/184.12 [2007]~E(x20071,x20072)+E(f452(x20073,x20071),f452(x20073,x20072))
% 184.29/184.12 [2008]~E(x20081,x20082)+E(f748(x20081,x20083,x20084),f748(x20082,x20083,x20084))
% 184.29/184.12 [2009]~E(x20091,x20092)+E(f748(x20093,x20091,x20094),f748(x20093,x20092,x20094))
% 184.29/184.12 [2010]~E(x20101,x20102)+E(f748(x20103,x20104,x20101),f748(x20103,x20104,x20102))
% 184.29/184.12 [2011]~E(x20111,x20112)+E(f423(x20111,x20113,x20114,x20115),f423(x20112,x20113,x20114,x20115))
% 184.29/184.12 [2012]~E(x20121,x20122)+E(f423(x20123,x20121,x20124,x20125),f423(x20123,x20122,x20124,x20125))
% 184.29/184.12 [2013]~E(x20131,x20132)+E(f423(x20133,x20134,x20131,x20135),f423(x20133,x20134,x20132,x20135))
% 184.29/184.12 [2014]~E(x20141,x20142)+E(f423(x20143,x20144,x20145,x20141),f423(x20143,x20144,x20145,x20142))
% 184.29/184.12 [2015]~E(x20151,x20152)+E(f404(x20151,x20153,x20154),f404(x20152,x20153,x20154))
% 184.29/184.12 [2016]~E(x20161,x20162)+E(f404(x20163,x20161,x20164),f404(x20163,x20162,x20164))
% 184.29/184.12 [2017]~E(x20171,x20172)+E(f404(x20173,x20174,x20171),f404(x20173,x20174,x20172))
% 184.29/184.12 [2018]~E(x20181,x20182)+E(f716(x20181,x20183,x20184,x20185),f716(x20182,x20183,x20184,x20185))
% 184.29/184.12 [2019]~E(x20191,x20192)+E(f716(x20193,x20191,x20194,x20195),f716(x20193,x20192,x20194,x20195))
% 184.29/184.12 [2020]~E(x20201,x20202)+E(f716(x20203,x20204,x20201,x20205),f716(x20203,x20204,x20202,x20205))
% 184.29/184.12 [2021]~E(x20211,x20212)+E(f716(x20213,x20214,x20215,x20211),f716(x20213,x20214,x20215,x20212))
% 184.29/184.12 [2022]~E(x20221,x20222)+E(f461(x20221,x20223,x20224,x20225),f461(x20222,x20223,x20224,x20225))
% 184.29/184.12 [2023]~E(x20231,x20232)+E(f461(x20233,x20231,x20234,x20235),f461(x20233,x20232,x20234,x20235))
% 184.29/184.12 [2024]~E(x20241,x20242)+E(f461(x20243,x20244,x20241,x20245),f461(x20243,x20244,x20242,x20245))
% 184.29/184.12 [2025]~E(x20251,x20252)+E(f461(x20253,x20254,x20255,x20251),f461(x20253,x20254,x20255,x20252))
% 184.29/184.12 [2026]~E(x20261,x20262)+E(f471(x20261),f471(x20262))
% 184.29/184.12 [2027]~E(x20271,x20272)+E(f285(x20271,x20273),f285(x20272,x20273))
% 184.29/184.12 [2028]~E(x20281,x20282)+E(f285(x20283,x20281),f285(x20283,x20282))
% 184.29/184.12 [2029]~E(x20291,x20292)+E(f438(x20291,x20293,x20294,x20295),f438(x20292,x20293,x20294,x20295))
% 184.29/184.12 [2030]~E(x20301,x20302)+E(f438(x20303,x20301,x20304,x20305),f438(x20303,x20302,x20304,x20305))
% 184.29/184.12 [2031]~E(x20311,x20312)+E(f438(x20313,x20314,x20311,x20315),f438(x20313,x20314,x20312,x20315))
% 184.29/184.12 [2032]~E(x20321,x20322)+E(f438(x20323,x20324,x20325,x20321),f438(x20323,x20324,x20325,x20322))
% 184.29/184.12 [2033]~E(x20331,x20332)+E(f556(x20331,x20333,x20334,x20335,x20336,x20337),f556(x20332,x20333,x20334,x20335,x20336,x20337))
% 184.29/184.12 [2034]~E(x20341,x20342)+E(f556(x20343,x20341,x20344,x20345,x20346,x20347),f556(x20343,x20342,x20344,x20345,x20346,x20347))
% 184.29/184.12 [2035]~E(x20351,x20352)+E(f556(x20353,x20354,x20351,x20355,x20356,x20357),f556(x20353,x20354,x20352,x20355,x20356,x20357))
% 184.29/184.12 [2036]~E(x20361,x20362)+E(f556(x20363,x20364,x20365,x20361,x20366,x20367),f556(x20363,x20364,x20365,x20362,x20366,x20367))
% 184.29/184.12 [2037]~E(x20371,x20372)+E(f556(x20373,x20374,x20375,x20376,x20371,x20377),f556(x20373,x20374,x20375,x20376,x20372,x20377))
% 184.29/184.12 [2038]~E(x20381,x20382)+E(f556(x20383,x20384,x20385,x20386,x20387,x20381),f556(x20383,x20384,x20385,x20386,x20387,x20382))
% 184.29/184.12 [2039]~E(x20391,x20392)+E(f485(x20391,x20393,x20394,x20395,x20396),f485(x20392,x20393,x20394,x20395,x20396))
% 184.29/184.12 [2040]~E(x20401,x20402)+E(f485(x20403,x20401,x20404,x20405,x20406),f485(x20403,x20402,x20404,x20405,x20406))
% 184.29/184.12 [2041]~E(x20411,x20412)+E(f485(x20413,x20414,x20411,x20415,x20416),f485(x20413,x20414,x20412,x20415,x20416))
% 184.29/184.12 [2042]~E(x20421,x20422)+E(f485(x20423,x20424,x20425,x20421,x20426),f485(x20423,x20424,x20425,x20422,x20426))
% 184.29/184.12 [2043]~E(x20431,x20432)+E(f485(x20433,x20434,x20435,x20436,x20431),f485(x20433,x20434,x20435,x20436,x20432))
% 184.29/184.12 [2044]~E(x20441,x20442)+E(f541(x20441,x20443,x20444,x20445,x20446,x20447),f541(x20442,x20443,x20444,x20445,x20446,x20447))
% 184.29/184.12 [2045]~E(x20451,x20452)+E(f541(x20453,x20451,x20454,x20455,x20456,x20457),f541(x20453,x20452,x20454,x20455,x20456,x20457))
% 184.29/184.12 [2046]~E(x20461,x20462)+E(f541(x20463,x20464,x20461,x20465,x20466,x20467),f541(x20463,x20464,x20462,x20465,x20466,x20467))
% 184.29/184.12 [2047]~E(x20471,x20472)+E(f541(x20473,x20474,x20475,x20471,x20476,x20477),f541(x20473,x20474,x20475,x20472,x20476,x20477))
% 184.29/184.12 [2048]~E(x20481,x20482)+E(f541(x20483,x20484,x20485,x20486,x20481,x20487),f541(x20483,x20484,x20485,x20486,x20482,x20487))
% 184.29/184.12 [2049]~E(x20491,x20492)+E(f541(x20493,x20494,x20495,x20496,x20497,x20491),f541(x20493,x20494,x20495,x20496,x20497,x20492))
% 184.29/184.12 [2050]~E(x20501,x20502)+E(f669(x20501,x20503,x20504),f669(x20502,x20503,x20504))
% 184.29/184.12 [2051]~E(x20511,x20512)+E(f669(x20513,x20511,x20514),f669(x20513,x20512,x20514))
% 184.29/184.12 [2052]~E(x20521,x20522)+E(f669(x20523,x20524,x20521),f669(x20523,x20524,x20522))
% 184.29/184.12 [2053]~E(x20531,x20532)+E(f478(x20531,x20533,x20534,x20535,x20536),f478(x20532,x20533,x20534,x20535,x20536))
% 184.29/184.12 [2054]~E(x20541,x20542)+E(f478(x20543,x20541,x20544,x20545,x20546),f478(x20543,x20542,x20544,x20545,x20546))
% 184.29/184.12 [2055]~E(x20551,x20552)+E(f478(x20553,x20554,x20551,x20555,x20556),f478(x20553,x20554,x20552,x20555,x20556))
% 184.29/184.12 [2056]~E(x20561,x20562)+E(f478(x20563,x20564,x20565,x20561,x20566),f478(x20563,x20564,x20565,x20562,x20566))
% 184.29/184.12 [2057]~E(x20571,x20572)+E(f478(x20573,x20574,x20575,x20576,x20571),f478(x20573,x20574,x20575,x20576,x20572))
% 184.29/184.12 [2058]~E(x20581,x20582)+E(f765(x20581,x20583,x20584),f765(x20582,x20583,x20584))
% 184.29/184.12 [2059]~E(x20591,x20592)+E(f765(x20593,x20591,x20594),f765(x20593,x20592,x20594))
% 184.29/184.12 [2060]~E(x20601,x20602)+E(f765(x20603,x20604,x20601),f765(x20603,x20604,x20602))
% 184.29/184.12 [2061]~E(x20611,x20612)+E(f206(x20611,x20613,x20614,x20615,x20616,x20617,x20618),f206(x20612,x20613,x20614,x20615,x20616,x20617,x20618))
% 184.29/184.12 [2062]~E(x20621,x20622)+E(f206(x20623,x20621,x20624,x20625,x20626,x20627,x20628),f206(x20623,x20622,x20624,x20625,x20626,x20627,x20628))
% 184.29/184.12 [2063]~E(x20631,x20632)+E(f206(x20633,x20634,x20631,x20635,x20636,x20637,x20638),f206(x20633,x20634,x20632,x20635,x20636,x20637,x20638))
% 184.29/184.12 [2064]~E(x20641,x20642)+E(f206(x20643,x20644,x20645,x20641,x20646,x20647,x20648),f206(x20643,x20644,x20645,x20642,x20646,x20647,x20648))
% 184.29/184.12 [2065]~E(x20651,x20652)+E(f206(x20653,x20654,x20655,x20656,x20651,x20657,x20658),f206(x20653,x20654,x20655,x20656,x20652,x20657,x20658))
% 184.29/184.12 [2066]~E(x20661,x20662)+E(f206(x20663,x20664,x20665,x20666,x20667,x20661,x20668),f206(x20663,x20664,x20665,x20666,x20667,x20662,x20668))
% 184.29/184.12 [2067]~E(x20671,x20672)+E(f206(x20673,x20674,x20675,x20676,x20677,x20678,x20671),f206(x20673,x20674,x20675,x20676,x20677,x20678,x20672))
% 184.29/184.12 [2068]~E(x20681,x20682)+E(f635(x20681,x20683,x20684),f635(x20682,x20683,x20684))
% 184.29/184.12 [2069]~E(x20691,x20692)+E(f635(x20693,x20691,x20694),f635(x20693,x20692,x20694))
% 184.29/184.12 [2070]~E(x20701,x20702)+E(f635(x20703,x20704,x20701),f635(x20703,x20704,x20702))
% 184.29/184.12 [2071]~E(x20711,x20712)+E(f454(x20711,x20713,x20714,x20715,x20716,x20717,x20718),f454(x20712,x20713,x20714,x20715,x20716,x20717,x20718))
% 184.29/184.12 [2072]~E(x20721,x20722)+E(f454(x20723,x20721,x20724,x20725,x20726,x20727,x20728),f454(x20723,x20722,x20724,x20725,x20726,x20727,x20728))
% 184.29/184.12 [2073]~E(x20731,x20732)+E(f454(x20733,x20734,x20731,x20735,x20736,x20737,x20738),f454(x20733,x20734,x20732,x20735,x20736,x20737,x20738))
% 184.29/184.12 [2074]~E(x20741,x20742)+E(f454(x20743,x20744,x20745,x20741,x20746,x20747,x20748),f454(x20743,x20744,x20745,x20742,x20746,x20747,x20748))
% 184.29/184.12 [2075]~E(x20751,x20752)+E(f454(x20753,x20754,x20755,x20756,x20751,x20757,x20758),f454(x20753,x20754,x20755,x20756,x20752,x20757,x20758))
% 184.29/184.12 [2076]~E(x20761,x20762)+E(f454(x20763,x20764,x20765,x20766,x20767,x20761,x20768),f454(x20763,x20764,x20765,x20766,x20767,x20762,x20768))
% 184.29/184.12 [2077]~E(x20771,x20772)+E(f454(x20773,x20774,x20775,x20776,x20777,x20778,x20771),f454(x20773,x20774,x20775,x20776,x20777,x20778,x20772))
% 184.29/184.12 [2078]~E(x20781,x20782)+E(f526(x20781,x20783,x20784),f526(x20782,x20783,x20784))
% 184.29/184.12 [2079]~E(x20791,x20792)+E(f526(x20793,x20791,x20794),f526(x20793,x20792,x20794))
% 184.29/184.12 [2080]~E(x20801,x20802)+E(f526(x20803,x20804,x20801),f526(x20803,x20804,x20802))
% 184.29/184.12 [2081]~E(x20811,x20812)+E(f840(x20811,x20813,x20814),f840(x20812,x20813,x20814))
% 184.29/184.12 [2082]~E(x20821,x20822)+E(f840(x20823,x20821,x20824),f840(x20823,x20822,x20824))
% 184.29/184.12 [2083]~E(x20831,x20832)+E(f840(x20833,x20834,x20831),f840(x20833,x20834,x20832))
% 184.29/184.12 [2084]~E(x20841,x20842)+E(f660(x20841,x20843,x20844,x20845,x20846),f660(x20842,x20843,x20844,x20845,x20846))
% 184.29/184.12 [2085]~E(x20851,x20852)+E(f660(x20853,x20851,x20854,x20855,x20856),f660(x20853,x20852,x20854,x20855,x20856))
% 184.29/184.12 [2086]~E(x20861,x20862)+E(f660(x20863,x20864,x20861,x20865,x20866),f660(x20863,x20864,x20862,x20865,x20866))
% 184.29/184.12 [2087]~E(x20871,x20872)+E(f660(x20873,x20874,x20875,x20871,x20876),f660(x20873,x20874,x20875,x20872,x20876))
% 184.29/184.12 [2088]~E(x20881,x20882)+E(f660(x20883,x20884,x20885,x20886,x20881),f660(x20883,x20884,x20885,x20886,x20882))
% 184.29/184.12 [2089]~E(x20891,x20892)+E(f638(x20891,x20893,x20894),f638(x20892,x20893,x20894))
% 184.29/184.12 [2090]~E(x20901,x20902)+E(f638(x20903,x20901,x20904),f638(x20903,x20902,x20904))
% 184.29/184.12 [2091]~E(x20911,x20912)+E(f638(x20913,x20914,x20911),f638(x20913,x20914,x20912))
% 184.29/184.12 [2092]~E(x20921,x20922)+E(f391(x20921,x20923,x20924,x20925,x20926),f391(x20922,x20923,x20924,x20925,x20926))
% 184.29/184.12 [2093]~E(x20931,x20932)+E(f391(x20933,x20931,x20934,x20935,x20936),f391(x20933,x20932,x20934,x20935,x20936))
% 184.29/184.12 [2094]~E(x20941,x20942)+E(f391(x20943,x20944,x20941,x20945,x20946),f391(x20943,x20944,x20942,x20945,x20946))
% 184.29/184.12 [2095]~E(x20951,x20952)+E(f391(x20953,x20954,x20955,x20951,x20956),f391(x20953,x20954,x20955,x20952,x20956))
% 184.29/184.12 [2096]~E(x20961,x20962)+E(f391(x20963,x20964,x20965,x20966,x20961),f391(x20963,x20964,x20965,x20966,x20962))
% 184.29/184.12 [2097]~E(x20971,x20972)+E(f583(x20971,x20973),f583(x20972,x20973))
% 184.29/184.12 [2098]~E(x20981,x20982)+E(f583(x20983,x20981),f583(x20983,x20982))
% 184.29/184.12 [2099]~E(x20991,x20992)+E(f373(x20991,x20993),f373(x20992,x20993))
% 184.29/184.12 [2100]~E(x21001,x21002)+E(f373(x21003,x21001),f373(x21003,x21002))
% 184.29/184.12 [2101]~E(x21011,x21012)+E(f621(x21011,x21013,x21014),f621(x21012,x21013,x21014))
% 184.29/184.12 [2102]~E(x21021,x21022)+E(f621(x21023,x21021,x21024),f621(x21023,x21022,x21024))
% 184.29/184.12 [2103]~E(x21031,x21032)+E(f621(x21033,x21034,x21031),f621(x21033,x21034,x21032))
% 184.29/184.12 [2104]~E(x21041,x21042)+E(f387(x21041,x21043,x21044,x21045,x21046),f387(x21042,x21043,x21044,x21045,x21046))
% 184.29/184.12 [2105]~E(x21051,x21052)+E(f387(x21053,x21051,x21054,x21055,x21056),f387(x21053,x21052,x21054,x21055,x21056))
% 184.29/184.12 [2106]~E(x21061,x21062)+E(f387(x21063,x21064,x21061,x21065,x21066),f387(x21063,x21064,x21062,x21065,x21066))
% 184.29/184.12 [2107]~E(x21071,x21072)+E(f387(x21073,x21074,x21075,x21071,x21076),f387(x21073,x21074,x21075,x21072,x21076))
% 184.29/184.12 [2108]~E(x21081,x21082)+E(f387(x21083,x21084,x21085,x21086,x21081),f387(x21083,x21084,x21085,x21086,x21082))
% 184.29/184.12 [2109]~E(x21091,x21092)+E(f559(x21091,x21093),f559(x21092,x21093))
% 184.29/184.12 [2110]~E(x21101,x21102)+E(f559(x21103,x21101),f559(x21103,x21102))
% 184.29/184.12 [2111]~E(x21111,x21112)+E(f421(x21111,x21113,x21114),f421(x21112,x21113,x21114))
% 184.29/184.12 [2112]~E(x21121,x21122)+E(f421(x21123,x21121,x21124),f421(x21123,x21122,x21124))
% 184.29/184.12 [2113]~E(x21131,x21132)+E(f421(x21133,x21134,x21131),f421(x21133,x21134,x21132))
% 184.29/184.12 [2114]~E(x21141,x21142)+E(f685(x21141,x21143,x21144),f685(x21142,x21143,x21144))
% 184.29/184.12 [2115]~E(x21151,x21152)+E(f685(x21153,x21151,x21154),f685(x21153,x21152,x21154))
% 184.29/184.12 [2116]~E(x21161,x21162)+E(f685(x21163,x21164,x21161),f685(x21163,x21164,x21162))
% 184.29/184.12 [2117]~E(x21171,x21172)+E(f255(x21171,x21173,x21174,x21175,x21176),f255(x21172,x21173,x21174,x21175,x21176))
% 184.29/184.12 [2118]~E(x21181,x21182)+E(f255(x21183,x21181,x21184,x21185,x21186),f255(x21183,x21182,x21184,x21185,x21186))
% 184.29/184.12 [2119]~E(x21191,x21192)+E(f255(x21193,x21194,x21191,x21195,x21196),f255(x21193,x21194,x21192,x21195,x21196))
% 184.29/184.12 [2120]~E(x21201,x21202)+E(f255(x21203,x21204,x21205,x21201,x21206),f255(x21203,x21204,x21205,x21202,x21206))
% 184.29/184.12 [2121]~E(x21211,x21212)+E(f255(x21213,x21214,x21215,x21216,x21211),f255(x21213,x21214,x21215,x21216,x21212))
% 184.29/184.12 [2122]~E(x21221,x21222)+E(f696(x21221,x21223,x21224),f696(x21222,x21223,x21224))
% 184.29/184.12 [2123]~E(x21231,x21232)+E(f696(x21233,x21231,x21234),f696(x21233,x21232,x21234))
% 184.29/184.12 [2124]~E(x21241,x21242)+E(f696(x21243,x21244,x21241),f696(x21243,x21244,x21242))
% 184.29/184.12 [2125]~E(x21251,x21252)+E(f698(x21251,x21253),f698(x21252,x21253))
% 184.29/184.12 [2126]~E(x21261,x21262)+E(f698(x21263,x21261),f698(x21263,x21262))
% 184.29/184.12 [2127]~E(x21271,x21272)+E(f745(x21271,x21273,x21274),f745(x21272,x21273,x21274))
% 184.29/184.12 [2128]~E(x21281,x21282)+E(f745(x21283,x21281,x21284),f745(x21283,x21282,x21284))
% 184.29/184.12 [2129]~E(x21291,x21292)+E(f745(x21293,x21294,x21291),f745(x21293,x21294,x21292))
% 184.29/184.12 [2130]~E(x21301,x21302)+E(f799(x21301,x21303),f799(x21302,x21303))
% 184.29/184.12 [2131]~E(x21311,x21312)+E(f799(x21313,x21311),f799(x21313,x21312))
% 184.29/184.12 [2132]~E(x21321,x21322)+E(f673(x21321,x21323,x21324),f673(x21322,x21323,x21324))
% 184.29/184.12 [2133]~E(x21331,x21332)+E(f673(x21333,x21331,x21334),f673(x21333,x21332,x21334))
% 184.29/184.12 [2134]~E(x21341,x21342)+E(f673(x21343,x21344,x21341),f673(x21343,x21344,x21342))
% 184.29/184.12 [2135]~E(x21351,x21352)+E(f608(x21351,x21353,x21354,x21355),f608(x21352,x21353,x21354,x21355))
% 184.29/184.12 [2136]~E(x21361,x21362)+E(f608(x21363,x21361,x21364,x21365),f608(x21363,x21362,x21364,x21365))
% 184.29/184.12 [2137]~E(x21371,x21372)+E(f608(x21373,x21374,x21371,x21375),f608(x21373,x21374,x21372,x21375))
% 184.29/184.12 [2138]~E(x21381,x21382)+E(f608(x21383,x21384,x21385,x21381),f608(x21383,x21384,x21385,x21382))
% 184.29/184.12 [2139]~E(x21391,x21392)+E(f755(x21391,x21393,x21394),f755(x21392,x21393,x21394))
% 184.29/184.12 [2140]~E(x21401,x21402)+E(f755(x21403,x21401,x21404),f755(x21403,x21402,x21404))
% 184.29/184.12 [2141]~E(x21411,x21412)+E(f755(x21413,x21414,x21411),f755(x21413,x21414,x21412))
% 184.29/184.12 [2142]~E(x21421,x21422)+E(f838(x21421,x21423,x21424),f838(x21422,x21423,x21424))
% 184.29/184.12 [2143]~E(x21431,x21432)+E(f838(x21433,x21431,x21434),f838(x21433,x21432,x21434))
% 184.29/184.12 [2144]~E(x21441,x21442)+E(f838(x21443,x21444,x21441),f838(x21443,x21444,x21442))
% 184.29/184.12 [2145]~E(x21451,x21452)+E(f235(x21451,x21453),f235(x21452,x21453))
% 184.29/184.12 [2146]~E(x21461,x21462)+E(f235(x21463,x21461),f235(x21463,x21462))
% 184.29/184.12 [2147]~E(x21471,x21472)+E(f223(x21471,x21473,x21474,x21475),f223(x21472,x21473,x21474,x21475))
% 184.29/184.12 [2148]~E(x21481,x21482)+E(f223(x21483,x21481,x21484,x21485),f223(x21483,x21482,x21484,x21485))
% 184.29/184.12 [2149]~E(x21491,x21492)+E(f223(x21493,x21494,x21491,x21495),f223(x21493,x21494,x21492,x21495))
% 184.29/184.12 [2150]~E(x21501,x21502)+E(f223(x21503,x21504,x21505,x21501),f223(x21503,x21504,x21505,x21502))
% 184.29/184.12 [2151]~E(x21511,x21512)+E(f609(x21511,x21513,x21514),f609(x21512,x21513,x21514))
% 184.29/184.12 [2152]~E(x21521,x21522)+E(f609(x21523,x21521,x21524),f609(x21523,x21522,x21524))
% 184.29/184.12 [2153]~E(x21531,x21532)+E(f609(x21533,x21534,x21531),f609(x21533,x21534,x21532))
% 184.29/184.12 [2154]~E(x21541,x21542)+E(f794(x21541,x21543,x21544),f794(x21542,x21543,x21544))
% 184.29/184.12 [2155]~E(x21551,x21552)+E(f794(x21553,x21551,x21554),f794(x21553,x21552,x21554))
% 184.29/184.12 [2156]~E(x21561,x21562)+E(f794(x21563,x21564,x21561),f794(x21563,x21564,x21562))
% 184.29/184.12 [2157]~E(x21571,x21572)+E(f544(x21571,x21573,x21574,x21575,x21576,x21577),f544(x21572,x21573,x21574,x21575,x21576,x21577))
% 184.29/184.12 [2158]~E(x21581,x21582)+E(f544(x21583,x21581,x21584,x21585,x21586,x21587),f544(x21583,x21582,x21584,x21585,x21586,x21587))
% 184.29/184.12 [2159]~E(x21591,x21592)+E(f544(x21593,x21594,x21591,x21595,x21596,x21597),f544(x21593,x21594,x21592,x21595,x21596,x21597))
% 184.29/184.12 [2160]~E(x21601,x21602)+E(f544(x21603,x21604,x21605,x21601,x21606,x21607),f544(x21603,x21604,x21605,x21602,x21606,x21607))
% 184.29/184.12 [2161]~E(x21611,x21612)+E(f544(x21613,x21614,x21615,x21616,x21611,x21617),f544(x21613,x21614,x21615,x21616,x21612,x21617))
% 184.29/184.12 [2162]~E(x21621,x21622)+E(f544(x21623,x21624,x21625,x21626,x21627,x21621),f544(x21623,x21624,x21625,x21626,x21627,x21622))
% 184.29/184.12 [2163]~E(x21631,x21632)+E(f567(x21631,x21633,x21634),f567(x21632,x21633,x21634))
% 184.29/184.12 [2164]~E(x21641,x21642)+E(f567(x21643,x21641,x21644),f567(x21643,x21642,x21644))
% 184.29/184.12 [2165]~E(x21651,x21652)+E(f567(x21653,x21654,x21651),f567(x21653,x21654,x21652))
% 184.29/184.12 [2166]~E(x21661,x21662)+E(f590(x21661,x21663,x21664),f590(x21662,x21663,x21664))
% 184.29/184.12 [2167]~E(x21671,x21672)+E(f590(x21673,x21671,x21674),f590(x21673,x21672,x21674))
% 184.29/184.12 [2168]~E(x21681,x21682)+E(f590(x21683,x21684,x21681),f590(x21683,x21684,x21682))
% 184.29/184.12 [2169]~E(x21691,x21692)+E(f762(x21691,x21693,x21694),f762(x21692,x21693,x21694))
% 184.29/184.12 [2170]~E(x21701,x21702)+E(f762(x21703,x21701,x21704),f762(x21703,x21702,x21704))
% 184.29/184.12 [2171]~E(x21711,x21712)+E(f762(x21713,x21714,x21711),f762(x21713,x21714,x21712))
% 184.29/184.12 [2172]~E(x21721,x21722)+E(f344(x21721,x21723),f344(x21722,x21723))
% 184.29/184.12 [2173]~E(x21731,x21732)+E(f344(x21733,x21731),f344(x21733,x21732))
% 184.29/184.12 [2174]~E(x21741,x21742)+E(f769(x21741,x21743),f769(x21742,x21743))
% 184.29/184.12 [2175]~E(x21751,x21752)+E(f769(x21753,x21751),f769(x21753,x21752))
% 184.29/184.12 [2176]~E(x21761,x21762)+E(f97(x21761,x21763,x21764,x21765),f97(x21762,x21763,x21764,x21765))
% 184.29/184.12 [2177]~E(x21771,x21772)+E(f97(x21773,x21771,x21774,x21775),f97(x21773,x21772,x21774,x21775))
% 184.29/184.12 [2178]~E(x21781,x21782)+E(f97(x21783,x21784,x21781,x21785),f97(x21783,x21784,x21782,x21785))
% 184.29/184.12 [2179]~E(x21791,x21792)+E(f97(x21793,x21794,x21795,x21791),f97(x21793,x21794,x21795,x21792))
% 184.29/184.12 [2180]~E(x21801,x21802)+E(f411(x21801,x21803,x21804,x21805),f411(x21802,x21803,x21804,x21805))
% 184.29/184.12 [2181]~E(x21811,x21812)+E(f411(x21813,x21811,x21814,x21815),f411(x21813,x21812,x21814,x21815))
% 184.29/184.12 [2182]~E(x21821,x21822)+E(f411(x21823,x21824,x21821,x21825),f411(x21823,x21824,x21822,x21825))
% 184.29/184.12 [2183]~E(x21831,x21832)+E(f411(x21833,x21834,x21835,x21831),f411(x21833,x21834,x21835,x21832))
% 184.29/184.12 [2184]~E(x21841,x21842)+E(f340(x21841,x21843),f340(x21842,x21843))
% 184.29/184.12 [2185]~E(x21851,x21852)+E(f340(x21853,x21851),f340(x21853,x21852))
% 184.29/184.12 [2186]~E(x21861,x21862)+E(f437(x21861,x21863,x21864,x21865),f437(x21862,x21863,x21864,x21865))
% 184.29/184.12 [2187]~E(x21871,x21872)+E(f437(x21873,x21871,x21874,x21875),f437(x21873,x21872,x21874,x21875))
% 184.29/184.12 [2188]~E(x21881,x21882)+E(f437(x21883,x21884,x21881,x21885),f437(x21883,x21884,x21882,x21885))
% 184.29/184.12 [2189]~E(x21891,x21892)+E(f437(x21893,x21894,x21895,x21891),f437(x21893,x21894,x21895,x21892))
% 184.29/184.12 [2190]~E(x21901,x21902)+E(f571(x21901),f571(x21902))
% 184.29/184.12 [2191]~E(x21911,x21912)+E(f605(x21911,x21913),f605(x21912,x21913))
% 184.29/184.12 [2192]~E(x21921,x21922)+E(f605(x21923,x21921),f605(x21923,x21922))
% 184.29/184.12 [2193]~E(x21931,x21932)+E(f710(x21931,x21933,x21934,x21935),f710(x21932,x21933,x21934,x21935))
% 184.29/184.12 [2194]~E(x21941,x21942)+E(f710(x21943,x21941,x21944,x21945),f710(x21943,x21942,x21944,x21945))
% 184.29/184.12 [2195]~E(x21951,x21952)+E(f710(x21953,x21954,x21951,x21955),f710(x21953,x21954,x21952,x21955))
% 184.29/184.12 [2196]~E(x21961,x21962)+E(f710(x21963,x21964,x21965,x21961),f710(x21963,x21964,x21965,x21962))
% 184.29/184.12 [2197]~E(x21971,x21972)+E(f494(x21971,x21973,x21974,x21975),f494(x21972,x21973,x21974,x21975))
% 184.29/184.12 [2198]~E(x21981,x21982)+E(f494(x21983,x21981,x21984,x21985),f494(x21983,x21982,x21984,x21985))
% 184.29/184.12 [2199]~E(x21991,x21992)+E(f494(x21993,x21994,x21991,x21995),f494(x21993,x21994,x21992,x21995))
% 184.29/184.12 [2200]~E(x22001,x22002)+E(f494(x22003,x22004,x22005,x22001),f494(x22003,x22004,x22005,x22002))
% 184.29/184.12 [2201]~E(x22011,x22012)+E(f627(x22011,x22013,x22014),f627(x22012,x22013,x22014))
% 184.29/184.12 [2202]~E(x22021,x22022)+E(f627(x22023,x22021,x22024),f627(x22023,x22022,x22024))
% 184.29/184.12 [2203]~E(x22031,x22032)+E(f627(x22033,x22034,x22031),f627(x22033,x22034,x22032))
% 184.29/184.12 [2204]~E(x22041,x22042)+E(f266(x22041,x22043),f266(x22042,x22043))
% 184.29/184.12 [2205]~E(x22051,x22052)+E(f266(x22053,x22051),f266(x22053,x22052))
% 184.29/184.12 [2206]~E(x22061,x22062)+E(f473(x22061,x22063),f473(x22062,x22063))
% 184.29/184.12 [2207]~E(x22071,x22072)+E(f473(x22073,x22071),f473(x22073,x22072))
% 184.29/184.12 [2208]~E(x22081,x22082)+E(f534(x22081,x22083,x22084,x22085,x22086),f534(x22082,x22083,x22084,x22085,x22086))
% 184.29/184.12 [2209]~E(x22091,x22092)+E(f534(x22093,x22091,x22094,x22095,x22096),f534(x22093,x22092,x22094,x22095,x22096))
% 184.29/184.12 [2210]~E(x22101,x22102)+E(f534(x22103,x22104,x22101,x22105,x22106),f534(x22103,x22104,x22102,x22105,x22106))
% 184.29/184.12 [2211]~E(x22111,x22112)+E(f534(x22113,x22114,x22115,x22111,x22116),f534(x22113,x22114,x22115,x22112,x22116))
% 184.29/184.12 [2212]~E(x22121,x22122)+E(f534(x22123,x22124,x22125,x22126,x22121),f534(x22123,x22124,x22125,x22126,x22122))
% 184.29/184.12 [2213]~E(x22131,x22132)+E(f490(x22131),f490(x22132))
% 184.29/184.12 [2214]~E(x22141,x22142)+E(f570(x22141,x22143,x22144,x22145,x22146),f570(x22142,x22143,x22144,x22145,x22146))
% 184.29/184.12 [2215]~E(x22151,x22152)+E(f570(x22153,x22151,x22154,x22155,x22156),f570(x22153,x22152,x22154,x22155,x22156))
% 184.29/184.12 [2216]~E(x22161,x22162)+E(f570(x22163,x22164,x22161,x22165,x22166),f570(x22163,x22164,x22162,x22165,x22166))
% 184.29/184.12 [2217]~E(x22171,x22172)+E(f570(x22173,x22174,x22175,x22171,x22176),f570(x22173,x22174,x22175,x22172,x22176))
% 184.29/184.12 [2218]~E(x22181,x22182)+E(f570(x22183,x22184,x22185,x22186,x22181),f570(x22183,x22184,x22185,x22186,x22182))
% 184.29/184.12 [2219]~E(x22191,x22192)+E(f533(x22191,x22193,x22194,x22195,x22196),f533(x22192,x22193,x22194,x22195,x22196))
% 184.29/184.12 [2220]~E(x22201,x22202)+E(f533(x22203,x22201,x22204,x22205,x22206),f533(x22203,x22202,x22204,x22205,x22206))
% 184.29/184.12 [2221]~E(x22211,x22212)+E(f533(x22213,x22214,x22211,x22215,x22216),f533(x22213,x22214,x22212,x22215,x22216))
% 184.29/184.12 [2222]~E(x22221,x22222)+E(f533(x22223,x22224,x22225,x22221,x22226),f533(x22223,x22224,x22225,x22222,x22226))
% 184.29/184.12 [2223]~E(x22231,x22232)+E(f533(x22233,x22234,x22235,x22236,x22231),f533(x22233,x22234,x22235,x22236,x22232))
% 184.29/184.12 [2224]~E(x22241,x22242)+E(f418(x22241,x22243,x22244),f418(x22242,x22243,x22244))
% 184.29/184.12 [2225]~E(x22251,x22252)+E(f418(x22253,x22251,x22254),f418(x22253,x22252,x22254))
% 184.29/184.12 [2226]~E(x22261,x22262)+E(f418(x22263,x22264,x22261),f418(x22263,x22264,x22262))
% 184.29/184.12 [2227]~E(x22271,x22272)+E(f601(x22271,x22273),f601(x22272,x22273))
% 184.29/184.12 [2228]~E(x22281,x22282)+E(f601(x22283,x22281),f601(x22283,x22282))
% 184.29/184.12 [2229]~E(x22291,x22292)+E(f433(x22291,x22293,x22294,x22295),f433(x22292,x22293,x22294,x22295))
% 184.29/184.12 [2230]~E(x22301,x22302)+E(f433(x22303,x22301,x22304,x22305),f433(x22303,x22302,x22304,x22305))
% 184.29/184.12 [2231]~E(x22311,x22312)+E(f433(x22313,x22314,x22311,x22315),f433(x22313,x22314,x22312,x22315))
% 184.29/184.12 [2232]~E(x22321,x22322)+E(f433(x22323,x22324,x22325,x22321),f433(x22323,x22324,x22325,x22322))
% 184.29/184.12 [2233]~E(x22331,x22332)+E(f573(x22331,x22333,x22334,x22335,x22336,x22337,x22338,x22339),f573(x22332,x22333,x22334,x22335,x22336,x22337,x22338,x22339))
% 184.29/184.12 [2234]~E(x22341,x22342)+E(f573(x22343,x22341,x22344,x22345,x22346,x22347,x22348,x22349),f573(x22343,x22342,x22344,x22345,x22346,x22347,x22348,x22349))
% 184.29/184.12 [2235]~E(x22351,x22352)+E(f573(x22353,x22354,x22351,x22355,x22356,x22357,x22358,x22359),f573(x22353,x22354,x22352,x22355,x22356,x22357,x22358,x22359))
% 184.29/184.12 [2236]~E(x22361,x22362)+E(f573(x22363,x22364,x22365,x22361,x22366,x22367,x22368,x22369),f573(x22363,x22364,x22365,x22362,x22366,x22367,x22368,x22369))
% 184.29/184.12 [2237]~E(x22371,x22372)+E(f573(x22373,x22374,x22375,x22376,x22371,x22377,x22378,x22379),f573(x22373,x22374,x22375,x22376,x22372,x22377,x22378,x22379))
% 184.29/184.12 [2238]~E(x22381,x22382)+E(f573(x22383,x22384,x22385,x22386,x22387,x22381,x22388,x22389),f573(x22383,x22384,x22385,x22386,x22387,x22382,x22388,x22389))
% 184.29/184.12 [2239]~E(x22391,x22392)+E(f573(x22393,x22394,x22395,x22396,x22397,x22398,x22391,x22399),f573(x22393,x22394,x22395,x22396,x22397,x22398,x22392,x22399))
% 184.29/184.12 [2240]~E(x22401,x22402)+E(f573(x22403,x22404,x22405,x22406,x22407,x22408,x22409,x22401),f573(x22403,x22404,x22405,x22406,x22407,x22408,x22409,x22402))
% 184.29/184.12 [2241]~E(x22411,x22412)+E(f781(x22411,x22413,x22414),f781(x22412,x22413,x22414))
% 184.29/184.12 [2242]~E(x22421,x22422)+E(f781(x22423,x22421,x22424),f781(x22423,x22422,x22424))
% 184.29/184.12 [2243]~E(x22431,x22432)+E(f781(x22433,x22434,x22431),f781(x22433,x22434,x22432))
% 184.29/184.12 [2244]~E(x22441,x22442)+E(f436(x22441,x22443,x22444,x22445),f436(x22442,x22443,x22444,x22445))
% 184.29/184.12 [2245]~E(x22451,x22452)+E(f436(x22453,x22451,x22454,x22455),f436(x22453,x22452,x22454,x22455))
% 184.29/184.12 [2246]~E(x22461,x22462)+E(f436(x22463,x22464,x22461,x22465),f436(x22463,x22464,x22462,x22465))
% 184.29/184.12 [2247]~E(x22471,x22472)+E(f436(x22473,x22474,x22475,x22471),f436(x22473,x22474,x22475,x22472))
% 184.29/184.12 [2248]~E(x22481,x22482)+E(f824(x22481,x22483,x22484),f824(x22482,x22483,x22484))
% 184.29/184.12 [2249]~E(x22491,x22492)+E(f824(x22493,x22491,x22494),f824(x22493,x22492,x22494))
% 184.29/184.12 [2250]~E(x22501,x22502)+E(f824(x22503,x22504,x22501),f824(x22503,x22504,x22502))
% 184.29/184.12 [2251]~E(x22511,x22512)+E(f225(x22511,x22513,x22514,x22515),f225(x22512,x22513,x22514,x22515))
% 184.29/184.12 [2252]~E(x22521,x22522)+E(f225(x22523,x22521,x22524,x22525),f225(x22523,x22522,x22524,x22525))
% 184.29/184.12 [2253]~E(x22531,x22532)+E(f225(x22533,x22534,x22531,x22535),f225(x22533,x22534,x22532,x22535))
% 184.29/184.12 [2254]~E(x22541,x22542)+E(f225(x22543,x22544,x22545,x22541),f225(x22543,x22544,x22545,x22542))
% 184.29/184.12 [2255]~E(x22551,x22552)+E(f342(x22551,x22553),f342(x22552,x22553))
% 184.29/184.12 [2256]~E(x22561,x22562)+E(f342(x22563,x22561),f342(x22563,x22562))
% 184.29/184.12 [2257]~E(x22571,x22572)+E(f165(x22571),f165(x22572))
% 184.29/184.12 [2258]~E(x22581,x22582)+E(f427(x22581,x22583),f427(x22582,x22583))
% 184.29/184.12 [2259]~E(x22591,x22592)+E(f427(x22593,x22591),f427(x22593,x22592))
% 184.29/184.12 [2260]~E(x22601,x22602)+E(f95(x22601,x22603,x22604),f95(x22602,x22603,x22604))
% 184.29/184.12 [2261]~E(x22611,x22612)+E(f95(x22613,x22611,x22614),f95(x22613,x22612,x22614))
% 184.29/184.12 [2262]~E(x22621,x22622)+E(f95(x22623,x22624,x22621),f95(x22623,x22624,x22622))
% 184.29/184.12 [2263]~E(x22631,x22632)+E(f221(x22631,x22633),f221(x22632,x22633))
% 184.29/184.12 [2264]~E(x22641,x22642)+E(f221(x22643,x22641),f221(x22643,x22642))
% 184.29/184.12 [2265]~E(x22651,x22652)+E(f763(x22651,x22653,x22654),f763(x22652,x22653,x22654))
% 184.29/184.12 [2266]~E(x22661,x22662)+E(f763(x22663,x22661,x22664),f763(x22663,x22662,x22664))
% 184.29/184.12 [2267]~E(x22671,x22672)+E(f763(x22673,x22674,x22671),f763(x22673,x22674,x22672))
% 184.29/184.12 [2268]~E(x22681,x22682)+E(f628(x22681,x22683),f628(x22682,x22683))
% 184.29/184.12 [2269]~E(x22691,x22692)+E(f628(x22693,x22691),f628(x22693,x22692))
% 184.29/184.12 [2270]~E(x22701,x22702)+E(f388(x22701,x22703,x22704,x22705,x22706),f388(x22702,x22703,x22704,x22705,x22706))
% 184.29/184.12 [2271]~E(x22711,x22712)+E(f388(x22713,x22711,x22714,x22715,x22716),f388(x22713,x22712,x22714,x22715,x22716))
% 184.29/184.12 [2272]~E(x22721,x22722)+E(f388(x22723,x22724,x22721,x22725,x22726),f388(x22723,x22724,x22722,x22725,x22726))
% 184.29/184.12 [2273]~E(x22731,x22732)+E(f388(x22733,x22734,x22735,x22731,x22736),f388(x22733,x22734,x22735,x22732,x22736))
% 184.29/184.12 [2274]~E(x22741,x22742)+E(f388(x22743,x22744,x22745,x22746,x22741),f388(x22743,x22744,x22745,x22746,x22742))
% 184.29/184.12 [2275]~E(x22751,x22752)+E(f572(x22751,x22753,x22754),f572(x22752,x22753,x22754))
% 184.29/184.12 [2276]~E(x22761,x22762)+E(f572(x22763,x22761,x22764),f572(x22763,x22762,x22764))
% 184.29/184.12 [2277]~E(x22771,x22772)+E(f572(x22773,x22774,x22771),f572(x22773,x22774,x22772))
% 184.29/184.12 [2278]~E(x22781,x22782)+E(f124(x22781),f124(x22782))
% 184.29/184.12 [2279]~E(x22791,x22792)+E(f718(x22791,x22793,x22794,x22795,x22796),f718(x22792,x22793,x22794,x22795,x22796))
% 184.29/184.12 [2280]~E(x22801,x22802)+E(f718(x22803,x22801,x22804,x22805,x22806),f718(x22803,x22802,x22804,x22805,x22806))
% 184.29/184.12 [2281]~E(x22811,x22812)+E(f718(x22813,x22814,x22811,x22815,x22816),f718(x22813,x22814,x22812,x22815,x22816))
% 184.29/184.12 [2282]~E(x22821,x22822)+E(f718(x22823,x22824,x22825,x22821,x22826),f718(x22823,x22824,x22825,x22822,x22826))
% 184.29/184.12 [2283]~E(x22831,x22832)+E(f718(x22833,x22834,x22835,x22836,x22831),f718(x22833,x22834,x22835,x22836,x22832))
% 184.29/184.12 [2284]~E(x22841,x22842)+E(f796(x22841,x22843,x22844),f796(x22842,x22843,x22844))
% 184.29/184.12 [2285]~E(x22851,x22852)+E(f796(x22853,x22851,x22854),f796(x22853,x22852,x22854))
% 184.29/184.12 [2286]~E(x22861,x22862)+E(f796(x22863,x22864,x22861),f796(x22863,x22864,x22862))
% 184.29/184.12 [2287]~E(x22871,x22872)+E(f312(x22871,x22873,x22874),f312(x22872,x22873,x22874))
% 184.29/184.12 [2288]~E(x22881,x22882)+E(f312(x22883,x22881,x22884),f312(x22883,x22882,x22884))
% 184.29/184.12 [2289]~E(x22891,x22892)+E(f312(x22893,x22894,x22891),f312(x22893,x22894,x22892))
% 184.29/184.12 [2290]~E(x22901,x22902)+E(f517(x22901,x22903,x22904,x22905),f517(x22902,x22903,x22904,x22905))
% 184.29/184.12 [2291]~E(x22911,x22912)+E(f517(x22913,x22911,x22914,x22915),f517(x22913,x22912,x22914,x22915))
% 184.29/184.12 [2292]~E(x22921,x22922)+E(f517(x22923,x22924,x22921,x22925),f517(x22923,x22924,x22922,x22925))
% 184.29/184.12 [2293]~E(x22931,x22932)+E(f517(x22933,x22934,x22935,x22931),f517(x22933,x22934,x22935,x22932))
% 184.29/184.12 [2294]~E(x22941,x22942)+E(f524(x22941,x22943,x22944,x22945,x22946),f524(x22942,x22943,x22944,x22945,x22946))
% 184.29/184.12 [2295]~E(x22951,x22952)+E(f524(x22953,x22951,x22954,x22955,x22956),f524(x22953,x22952,x22954,x22955,x22956))
% 184.29/184.12 [2296]~E(x22961,x22962)+E(f524(x22963,x22964,x22961,x22965,x22966),f524(x22963,x22964,x22962,x22965,x22966))
% 184.29/184.12 [2297]~E(x22971,x22972)+E(f524(x22973,x22974,x22975,x22971,x22976),f524(x22973,x22974,x22975,x22972,x22976))
% 184.29/184.12 [2298]~E(x22981,x22982)+E(f524(x22983,x22984,x22985,x22986,x22981),f524(x22983,x22984,x22985,x22986,x22982))
% 184.29/184.12 [2299]~E(x22991,x22992)+E(f458(x22991,x22993,x22994,x22995),f458(x22992,x22993,x22994,x22995))
% 184.29/184.12 [2300]~E(x23001,x23002)+E(f458(x23003,x23001,x23004,x23005),f458(x23003,x23002,x23004,x23005))
% 184.29/184.12 [2301]~E(x23011,x23012)+E(f458(x23013,x23014,x23011,x23015),f458(x23013,x23014,x23012,x23015))
% 184.29/184.12 [2302]~E(x23021,x23022)+E(f458(x23023,x23024,x23025,x23021),f458(x23023,x23024,x23025,x23022))
% 184.29/184.12 [2303]~E(x23031,x23032)+E(f574(x23031,x23033,x23034,x23035,x23036,x23037,x23038,x23039),f574(x23032,x23033,x23034,x23035,x23036,x23037,x23038,x23039))
% 184.29/184.12 [2304]~E(x23041,x23042)+E(f574(x23043,x23041,x23044,x23045,x23046,x23047,x23048,x23049),f574(x23043,x23042,x23044,x23045,x23046,x23047,x23048,x23049))
% 184.29/184.12 [2305]~E(x23051,x23052)+E(f574(x23053,x23054,x23051,x23055,x23056,x23057,x23058,x23059),f574(x23053,x23054,x23052,x23055,x23056,x23057,x23058,x23059))
% 184.29/184.12 [2306]~E(x23061,x23062)+E(f574(x23063,x23064,x23065,x23061,x23066,x23067,x23068,x23069),f574(x23063,x23064,x23065,x23062,x23066,x23067,x23068,x23069))
% 184.29/184.12 [2307]~E(x23071,x23072)+E(f574(x23073,x23074,x23075,x23076,x23071,x23077,x23078,x23079),f574(x23073,x23074,x23075,x23076,x23072,x23077,x23078,x23079))
% 184.29/184.12 [2308]~E(x23081,x23082)+E(f574(x23083,x23084,x23085,x23086,x23087,x23081,x23088,x23089),f574(x23083,x23084,x23085,x23086,x23087,x23082,x23088,x23089))
% 184.29/184.12 [2309]~E(x23091,x23092)+E(f574(x23093,x23094,x23095,x23096,x23097,x23098,x23091,x23099),f574(x23093,x23094,x23095,x23096,x23097,x23098,x23092,x23099))
% 184.29/184.12 [2310]~E(x23101,x23102)+E(f574(x23103,x23104,x23105,x23106,x23107,x23108,x23109,x23101),f574(x23103,x23104,x23105,x23106,x23107,x23108,x23109,x23102))
% 184.29/184.12 [2311]~E(x23111,x23112)+E(f244(x23111,x23113,x23114),f244(x23112,x23113,x23114))
% 184.29/184.12 [2312]~E(x23121,x23122)+E(f244(x23123,x23121,x23124),f244(x23123,x23122,x23124))
% 184.29/184.12 [2313]~E(x23131,x23132)+E(f244(x23133,x23134,x23131),f244(x23133,x23134,x23132))
% 184.29/184.12 [2314]~E(x23141,x23142)+E(f230(x23141,x23143,x23144,x23145,x23146),f230(x23142,x23143,x23144,x23145,x23146))
% 184.29/184.12 [2315]~E(x23151,x23152)+E(f230(x23153,x23151,x23154,x23155,x23156),f230(x23153,x23152,x23154,x23155,x23156))
% 184.29/184.12 [2316]~E(x23161,x23162)+E(f230(x23163,x23164,x23161,x23165,x23166),f230(x23163,x23164,x23162,x23165,x23166))
% 184.29/184.12 [2317]~E(x23171,x23172)+E(f230(x23173,x23174,x23175,x23171,x23176),f230(x23173,x23174,x23175,x23172,x23176))
% 184.29/184.12 [2318]~E(x23181,x23182)+E(f230(x23183,x23184,x23185,x23186,x23181),f230(x23183,x23184,x23185,x23186,x23182))
% 184.29/184.12 [2319]~E(x23191,x23192)+E(f346(x23191,x23193,x23194,x23195),f346(x23192,x23193,x23194,x23195))
% 184.29/184.12 [2320]~E(x23201,x23202)+E(f346(x23203,x23201,x23204,x23205),f346(x23203,x23202,x23204,x23205))
% 184.29/184.12 [2321]~E(x23211,x23212)+E(f346(x23213,x23214,x23211,x23215),f346(x23213,x23214,x23212,x23215))
% 184.29/184.12 [2322]~E(x23221,x23222)+E(f346(x23223,x23224,x23225,x23221),f346(x23223,x23224,x23225,x23222))
% 184.29/184.12 [2323]~E(x23231,x23232)+E(f806(x23231,x23233,x23234),f806(x23232,x23233,x23234))
% 184.29/184.12 [2324]~E(x23241,x23242)+E(f806(x23243,x23241,x23244),f806(x23243,x23242,x23244))
% 184.29/184.12 [2325]~E(x23251,x23252)+E(f806(x23253,x23254,x23251),f806(x23253,x23254,x23252))
% 184.29/184.12 [2326]~E(x23261,x23262)+E(f612(x23261,x23263,x23264,x23265,x23266,x23267),f612(x23262,x23263,x23264,x23265,x23266,x23267))
% 184.29/184.12 [2327]~E(x23271,x23272)+E(f612(x23273,x23271,x23274,x23275,x23276,x23277),f612(x23273,x23272,x23274,x23275,x23276,x23277))
% 184.29/184.12 [2328]~E(x23281,x23282)+E(f612(x23283,x23284,x23281,x23285,x23286,x23287),f612(x23283,x23284,x23282,x23285,x23286,x23287))
% 184.29/184.12 [2329]~E(x23291,x23292)+E(f612(x23293,x23294,x23295,x23291,x23296,x23297),f612(x23293,x23294,x23295,x23292,x23296,x23297))
% 184.29/184.12 [2330]~E(x23301,x23302)+E(f612(x23303,x23304,x23305,x23306,x23301,x23307),f612(x23303,x23304,x23305,x23306,x23302,x23307))
% 184.29/184.12 [2331]~E(x23311,x23312)+E(f612(x23313,x23314,x23315,x23316,x23317,x23311),f612(x23313,x23314,x23315,x23316,x23317,x23312))
% 184.29/184.12 [2332]~E(x23321,x23322)+E(f836(x23321,x23323,x23324,x23325,x23326,x23327,x23328),f836(x23322,x23323,x23324,x23325,x23326,x23327,x23328))
% 184.29/184.12 [2333]~E(x23331,x23332)+E(f836(x23333,x23331,x23334,x23335,x23336,x23337,x23338),f836(x23333,x23332,x23334,x23335,x23336,x23337,x23338))
% 184.29/184.12 [2334]~E(x23341,x23342)+E(f836(x23343,x23344,x23341,x23345,x23346,x23347,x23348),f836(x23343,x23344,x23342,x23345,x23346,x23347,x23348))
% 184.29/184.12 [2335]~E(x23351,x23352)+E(f836(x23353,x23354,x23355,x23351,x23356,x23357,x23358),f836(x23353,x23354,x23355,x23352,x23356,x23357,x23358))
% 184.29/184.12 [2336]~E(x23361,x23362)+E(f836(x23363,x23364,x23365,x23366,x23361,x23367,x23368),f836(x23363,x23364,x23365,x23366,x23362,x23367,x23368))
% 184.29/184.12 [2337]~E(x23371,x23372)+E(f836(x23373,x23374,x23375,x23376,x23377,x23371,x23378),f836(x23373,x23374,x23375,x23376,x23377,x23372,x23378))
% 184.29/184.12 [2338]~E(x23381,x23382)+E(f836(x23383,x23384,x23385,x23386,x23387,x23388,x23381),f836(x23383,x23384,x23385,x23386,x23387,x23388,x23382))
% 184.29/184.12 [2339]~E(x23391,x23392)+E(f457(x23391,x23393),f457(x23392,x23393))
% 184.29/184.12 [2340]~E(x23401,x23402)+E(f457(x23403,x23401),f457(x23403,x23402))
% 184.29/184.12 [2341]~E(x23411,x23412)+E(f614(x23411,x23413,x23414,x23415,x23416,x23417),f614(x23412,x23413,x23414,x23415,x23416,x23417))
% 184.29/184.12 [2342]~E(x23421,x23422)+E(f614(x23423,x23421,x23424,x23425,x23426,x23427),f614(x23423,x23422,x23424,x23425,x23426,x23427))
% 184.29/184.12 [2343]~E(x23431,x23432)+E(f614(x23433,x23434,x23431,x23435,x23436,x23437),f614(x23433,x23434,x23432,x23435,x23436,x23437))
% 184.29/184.12 [2344]~E(x23441,x23442)+E(f614(x23443,x23444,x23445,x23441,x23446,x23447),f614(x23443,x23444,x23445,x23442,x23446,x23447))
% 184.29/184.12 [2345]~E(x23451,x23452)+E(f614(x23453,x23454,x23455,x23456,x23451,x23457),f614(x23453,x23454,x23455,x23456,x23452,x23457))
% 184.29/184.12 [2346]~E(x23461,x23462)+E(f614(x23463,x23464,x23465,x23466,x23467,x23461),f614(x23463,x23464,x23465,x23466,x23467,x23462))
% 184.29/184.12 [2347]~E(x23471,x23472)+E(f551(x23471,x23473,x23474,x23475,x23476),f551(x23472,x23473,x23474,x23475,x23476))
% 184.29/184.12 [2348]~E(x23481,x23482)+E(f551(x23483,x23481,x23484,x23485,x23486),f551(x23483,x23482,x23484,x23485,x23486))
% 184.29/184.12 [2349]~E(x23491,x23492)+E(f551(x23493,x23494,x23491,x23495,x23496),f551(x23493,x23494,x23492,x23495,x23496))
% 184.29/184.12 [2350]~E(x23501,x23502)+E(f551(x23503,x23504,x23505,x23501,x23506),f551(x23503,x23504,x23505,x23502,x23506))
% 184.29/184.12 [2351]~E(x23511,x23512)+E(f551(x23513,x23514,x23515,x23516,x23511),f551(x23513,x23514,x23515,x23516,x23512))
% 184.29/184.12 [2352]~E(x23521,x23522)+E(f684(x23521,x23523,x23524),f684(x23522,x23523,x23524))
% 184.29/184.12 [2353]~E(x23531,x23532)+E(f684(x23533,x23531,x23534),f684(x23533,x23532,x23534))
% 184.29/184.12 [2354]~E(x23541,x23542)+E(f684(x23543,x23544,x23541),f684(x23543,x23544,x23542))
% 184.29/184.12 [2355]~E(x23551,x23552)+E(f419(x23551,x23553,x23554),f419(x23552,x23553,x23554))
% 184.29/184.12 [2356]~E(x23561,x23562)+E(f419(x23563,x23561,x23564),f419(x23563,x23562,x23564))
% 184.29/184.12 [2357]~E(x23571,x23572)+E(f419(x23573,x23574,x23571),f419(x23573,x23574,x23572))
% 184.29/184.12 [2358]~E(x23581,x23582)+E(f811(x23581,x23583,x23584),f811(x23582,x23583,x23584))
% 184.29/184.12 [2359]~E(x23591,x23592)+E(f811(x23593,x23591,x23594),f811(x23593,x23592,x23594))
% 184.29/184.12 [2360]~E(x23601,x23602)+E(f811(x23603,x23604,x23601),f811(x23603,x23604,x23602))
% 184.29/184.12 [2361]~E(x23611,x23612)+E(f624(x23611,x23613,x23614,x23615,x23616),f624(x23612,x23613,x23614,x23615,x23616))
% 184.29/184.12 [2362]~E(x23621,x23622)+E(f624(x23623,x23621,x23624,x23625,x23626),f624(x23623,x23622,x23624,x23625,x23626))
% 184.29/184.12 [2363]~E(x23631,x23632)+E(f624(x23633,x23634,x23631,x23635,x23636),f624(x23633,x23634,x23632,x23635,x23636))
% 184.29/184.12 [2364]~E(x23641,x23642)+E(f624(x23643,x23644,x23645,x23641,x23646),f624(x23643,x23644,x23645,x23642,x23646))
% 184.29/184.12 [2365]~E(x23651,x23652)+E(f624(x23653,x23654,x23655,x23656,x23651),f624(x23653,x23654,x23655,x23656,x23652))
% 184.29/184.12 [2366]~E(x23661,x23662)+E(f604(x23661,x23663),f604(x23662,x23663))
% 184.29/184.12 [2367]~E(x23671,x23672)+E(f604(x23673,x23671),f604(x23673,x23672))
% 184.29/184.12 [2368]~E(x23681,x23682)+E(f518(x23681,x23683),f518(x23682,x23683))
% 184.29/184.12 [2369]~E(x23691,x23692)+E(f518(x23693,x23691),f518(x23693,x23692))
% 184.29/184.12 [2370]~E(x23701,x23702)+E(f754(x23701,x23703,x23704),f754(x23702,x23703,x23704))
% 184.29/184.12 [2371]~E(x23711,x23712)+E(f754(x23713,x23711,x23714),f754(x23713,x23712,x23714))
% 184.29/184.12 [2372]~E(x23721,x23722)+E(f754(x23723,x23724,x23721),f754(x23723,x23724,x23722))
% 184.29/184.12 [2373]~E(x23731,x23732)+E(f463(x23731,x23733,x23734,x23735,x23736),f463(x23732,x23733,x23734,x23735,x23736))
% 184.29/184.12 [2374]~E(x23741,x23742)+E(f463(x23743,x23741,x23744,x23745,x23746),f463(x23743,x23742,x23744,x23745,x23746))
% 184.29/184.12 [2375]~E(x23751,x23752)+E(f463(x23753,x23754,x23751,x23755,x23756),f463(x23753,x23754,x23752,x23755,x23756))
% 184.29/184.12 [2376]~E(x23761,x23762)+E(f463(x23763,x23764,x23765,x23761,x23766),f463(x23763,x23764,x23765,x23762,x23766))
% 184.29/184.12 [2377]~E(x23771,x23772)+E(f463(x23773,x23774,x23775,x23776,x23771),f463(x23773,x23774,x23775,x23776,x23772))
% 184.29/184.12 [2378]~E(x23781,x23782)+E(f200(x23781,x23783,x23784,x23785),f200(x23782,x23783,x23784,x23785))
% 184.29/184.12 [2379]~E(x23791,x23792)+E(f200(x23793,x23791,x23794,x23795),f200(x23793,x23792,x23794,x23795))
% 184.29/184.12 [2380]~E(x23801,x23802)+E(f200(x23803,x23804,x23801,x23805),f200(x23803,x23804,x23802,x23805))
% 184.29/184.12 [2381]~E(x23811,x23812)+E(f200(x23813,x23814,x23815,x23811),f200(x23813,x23814,x23815,x23812))
% 184.29/184.12 [2382]~E(x23821,x23822)+E(f407(x23821,x23823,x23824),f407(x23822,x23823,x23824))
% 184.29/184.12 [2383]~E(x23831,x23832)+E(f407(x23833,x23831,x23834),f407(x23833,x23832,x23834))
% 184.29/184.12 [2384]~E(x23841,x23842)+E(f407(x23843,x23844,x23841),f407(x23843,x23844,x23842))
% 184.29/184.12 [2385]~E(x23851,x23852)+E(f337(x23851),f337(x23852))
% 184.29/184.12 [2386]~E(x23861,x23862)+E(f393(x23861,x23863),f393(x23862,x23863))
% 184.29/184.12 [2387]~E(x23871,x23872)+E(f393(x23873,x23871),f393(x23873,x23872))
% 184.29/184.12 [2388]~E(x23881,x23882)+E(f24(x23881,x23883),f24(x23882,x23883))
% 184.29/184.12 [2389]~E(x23891,x23892)+E(f24(x23893,x23891),f24(x23893,x23892))
% 184.29/184.12 [2390]~E(x23901,x23902)+E(f543(x23901,x23903,x23904,x23905,x23906,x23907),f543(x23902,x23903,x23904,x23905,x23906,x23907))
% 184.29/184.12 [2391]~E(x23911,x23912)+E(f543(x23913,x23911,x23914,x23915,x23916,x23917),f543(x23913,x23912,x23914,x23915,x23916,x23917))
% 184.29/184.12 [2392]~E(x23921,x23922)+E(f543(x23923,x23924,x23921,x23925,x23926,x23927),f543(x23923,x23924,x23922,x23925,x23926,x23927))
% 184.29/184.12 [2393]~E(x23931,x23932)+E(f543(x23933,x23934,x23935,x23931,x23936,x23937),f543(x23933,x23934,x23935,x23932,x23936,x23937))
% 184.29/184.12 [2394]~E(x23941,x23942)+E(f543(x23943,x23944,x23945,x23946,x23941,x23947),f543(x23943,x23944,x23945,x23946,x23942,x23947))
% 184.29/184.12 [2395]~E(x23951,x23952)+E(f543(x23953,x23954,x23955,x23956,x23957,x23951),f543(x23953,x23954,x23955,x23956,x23957,x23952))
% 184.29/184.12 [2396]~E(x23961,x23962)+E(f702(x23961,x23963,x23964,x23965,x23966),f702(x23962,x23963,x23964,x23965,x23966))
% 184.29/184.12 [2397]~E(x23971,x23972)+E(f702(x23973,x23971,x23974,x23975,x23976),f702(x23973,x23972,x23974,x23975,x23976))
% 184.29/184.12 [2398]~E(x23981,x23982)+E(f702(x23983,x23984,x23981,x23985,x23986),f702(x23983,x23984,x23982,x23985,x23986))
% 184.29/184.12 [2399]~E(x23991,x23992)+E(f702(x23993,x23994,x23995,x23991,x23996),f702(x23993,x23994,x23995,x23992,x23996))
% 184.29/184.12 [2400]~E(x24001,x24002)+E(f702(x24003,x24004,x24005,x24006,x24001),f702(x24003,x24004,x24005,x24006,x24002))
% 184.29/184.12 [2401]~E(x24011,x24012)+E(f483(x24011,x24013,x24014),f483(x24012,x24013,x24014))
% 184.29/184.12 [2402]~E(x24021,x24022)+E(f483(x24023,x24021,x24024),f483(x24023,x24022,x24024))
% 184.29/184.12 [2403]~E(x24031,x24032)+E(f483(x24033,x24034,x24031),f483(x24033,x24034,x24032))
% 184.29/184.12 [2404]~E(x24041,x24042)+E(f219(x24041,x24043,x24044,x24045,x24046),f219(x24042,x24043,x24044,x24045,x24046))
% 184.29/184.12 [2405]~E(x24051,x24052)+E(f219(x24053,x24051,x24054,x24055,x24056),f219(x24053,x24052,x24054,x24055,x24056))
% 184.29/184.12 [2406]~E(x24061,x24062)+E(f219(x24063,x24064,x24061,x24065,x24066),f219(x24063,x24064,x24062,x24065,x24066))
% 184.29/184.12 [2407]~E(x24071,x24072)+E(f219(x24073,x24074,x24075,x24071,x24076),f219(x24073,x24074,x24075,x24072,x24076))
% 184.29/184.12 [2408]~E(x24081,x24082)+E(f219(x24083,x24084,x24085,x24086,x24081),f219(x24083,x24084,x24085,x24086,x24082))
% 184.29/184.12 [2409]~E(x24091,x24092)+E(f508(x24091,x24093,x24094),f508(x24092,x24093,x24094))
% 184.29/184.12 [2410]~E(x24101,x24102)+E(f508(x24103,x24101,x24104),f508(x24103,x24102,x24104))
% 184.29/184.12 [2411]~E(x24111,x24112)+E(f508(x24113,x24114,x24111),f508(x24113,x24114,x24112))
% 184.29/184.12 [2412]~E(x24121,x24122)+E(f459(x24121,x24123,x24124,x24125),f459(x24122,x24123,x24124,x24125))
% 184.29/184.12 [2413]~E(x24131,x24132)+E(f459(x24133,x24131,x24134,x24135),f459(x24133,x24132,x24134,x24135))
% 184.29/184.12 [2414]~E(x24141,x24142)+E(f459(x24143,x24144,x24141,x24145),f459(x24143,x24144,x24142,x24145))
% 184.29/184.12 [2415]~E(x24151,x24152)+E(f459(x24153,x24154,x24155,x24151),f459(x24153,x24154,x24155,x24152))
% 184.29/184.12 [2416]~E(x24161,x24162)+E(f688(x24161,x24163,x24164,x24165),f688(x24162,x24163,x24164,x24165))
% 184.29/184.12 [2417]~E(x24171,x24172)+E(f688(x24173,x24171,x24174,x24175),f688(x24173,x24172,x24174,x24175))
% 184.29/184.12 [2418]~E(x24181,x24182)+E(f688(x24183,x24184,x24181,x24185),f688(x24183,x24184,x24182,x24185))
% 184.29/184.12 [2419]~E(x24191,x24192)+E(f688(x24193,x24194,x24195,x24191),f688(x24193,x24194,x24195,x24192))
% 184.29/184.12 [2420]~E(x24201,x24202)+E(f657(x24201,x24203,x24204,x24205,x24206),f657(x24202,x24203,x24204,x24205,x24206))
% 184.29/184.12 [2421]~E(x24211,x24212)+E(f657(x24213,x24211,x24214,x24215,x24216),f657(x24213,x24212,x24214,x24215,x24216))
% 184.29/184.12 [2422]~E(x24221,x24222)+E(f657(x24223,x24224,x24221,x24225,x24226),f657(x24223,x24224,x24222,x24225,x24226))
% 184.29/184.12 [2423]~E(x24231,x24232)+E(f657(x24233,x24234,x24235,x24231,x24236),f657(x24233,x24234,x24235,x24232,x24236))
% 184.29/184.12 [2424]~E(x24241,x24242)+E(f657(x24243,x24244,x24245,x24246,x24241),f657(x24243,x24244,x24245,x24246,x24242))
% 184.29/184.12 [2425]~E(x24251,x24252)+E(f274(x24251,x24253,x24254,x24255),f274(x24252,x24253,x24254,x24255))
% 184.29/184.12 [2426]~E(x24261,x24262)+E(f274(x24263,x24261,x24264,x24265),f274(x24263,x24262,x24264,x24265))
% 184.29/184.12 [2427]~E(x24271,x24272)+E(f274(x24273,x24274,x24271,x24275),f274(x24273,x24274,x24272,x24275))
% 184.29/184.12 [2428]~E(x24281,x24282)+E(f274(x24283,x24284,x24285,x24281),f274(x24283,x24284,x24285,x24282))
% 184.29/184.12 [2429]~E(x24291,x24292)+E(f547(x24291,x24293,x24294),f547(x24292,x24293,x24294))
% 184.29/184.12 [2430]~E(x24301,x24302)+E(f547(x24303,x24301,x24304),f547(x24303,x24302,x24304))
% 184.29/184.12 [2431]~E(x24311,x24312)+E(f547(x24313,x24314,x24311),f547(x24313,x24314,x24312))
% 184.29/184.12 [2432]~E(x24321,x24322)+E(f681(x24321,x24323),f681(x24322,x24323))
% 184.29/184.12 [2433]~E(x24331,x24332)+E(f681(x24333,x24331),f681(x24333,x24332))
% 184.29/184.12 [2434]~E(x24341,x24342)+E(f598(x24341,x24343,x24344,x24345),f598(x24342,x24343,x24344,x24345))
% 184.29/184.12 [2435]~E(x24351,x24352)+E(f598(x24353,x24351,x24354,x24355),f598(x24353,x24352,x24354,x24355))
% 184.29/184.12 [2436]~E(x24361,x24362)+E(f598(x24363,x24364,x24361,x24365),f598(x24363,x24364,x24362,x24365))
% 184.29/184.12 [2437]~E(x24371,x24372)+E(f598(x24373,x24374,x24375,x24371),f598(x24373,x24374,x24375,x24372))
% 184.29/184.12 [2438]~E(x24381,x24382)+E(f577(x24381,x24383,x24384,x24385,x24386),f577(x24382,x24383,x24384,x24385,x24386))
% 184.29/184.12 [2439]~E(x24391,x24392)+E(f577(x24393,x24391,x24394,x24395,x24396),f577(x24393,x24392,x24394,x24395,x24396))
% 184.29/184.12 [2440]~E(x24401,x24402)+E(f577(x24403,x24404,x24401,x24405,x24406),f577(x24403,x24404,x24402,x24405,x24406))
% 184.29/184.12 [2441]~E(x24411,x24412)+E(f577(x24413,x24414,x24415,x24411,x24416),f577(x24413,x24414,x24415,x24412,x24416))
% 184.29/184.12 [2442]~E(x24421,x24422)+E(f577(x24423,x24424,x24425,x24426,x24421),f577(x24423,x24424,x24425,x24426,x24422))
% 184.29/184.12 [2443]~E(x24431,x24432)+E(f807(x24431,x24433,x24434),f807(x24432,x24433,x24434))
% 184.29/184.12 [2444]~E(x24441,x24442)+E(f807(x24443,x24441,x24444),f807(x24443,x24442,x24444))
% 184.29/184.12 [2445]~E(x24451,x24452)+E(f807(x24453,x24454,x24451),f807(x24453,x24454,x24452))
% 184.29/184.12 [2446]~E(x24461,x24462)+E(f768(x24461,x24463),f768(x24462,x24463))
% 184.29/184.12 [2447]~E(x24471,x24472)+E(f768(x24473,x24471),f768(x24473,x24472))
% 184.29/184.12 [2448]~E(x24481,x24482)+E(f122(x24481),f122(x24482))
% 184.29/184.12 [2449]~E(x24491,x24492)+E(f561(x24491,x24493,x24494,x24495),f561(x24492,x24493,x24494,x24495))
% 184.29/184.12 [2450]~E(x24501,x24502)+E(f561(x24503,x24501,x24504,x24505),f561(x24503,x24502,x24504,x24505))
% 184.29/184.12 [2451]~E(x24511,x24512)+E(f561(x24513,x24514,x24511,x24515),f561(x24513,x24514,x24512,x24515))
% 184.29/184.12 [2452]~E(x24521,x24522)+E(f561(x24523,x24524,x24525,x24521),f561(x24523,x24524,x24525,x24522))
% 184.29/184.12 [2453]~E(x24531,x24532)+E(f269(x24531,x24533,x24534),f269(x24532,x24533,x24534))
% 184.29/184.12 [2454]~E(x24541,x24542)+E(f269(x24543,x24541,x24544),f269(x24543,x24542,x24544))
% 184.29/184.12 [2455]~E(x24551,x24552)+E(f269(x24553,x24554,x24551),f269(x24553,x24554,x24552))
% 184.29/184.12 [2456]~E(x24561,x24562)+E(f594(x24561,x24563,x24564,x24565),f594(x24562,x24563,x24564,x24565))
% 184.29/184.12 [2457]~E(x24571,x24572)+E(f594(x24573,x24571,x24574,x24575),f594(x24573,x24572,x24574,x24575))
% 184.29/184.12 [2458]~E(x24581,x24582)+E(f594(x24583,x24584,x24581,x24585),f594(x24583,x24584,x24582,x24585))
% 184.29/184.12 [2459]~E(x24591,x24592)+E(f594(x24593,x24594,x24595,x24591),f594(x24593,x24594,x24595,x24592))
% 184.29/184.12 [2460]~E(x24601,x24602)+E(f525(x24601,x24603,x24604,x24605),f525(x24602,x24603,x24604,x24605))
% 184.29/184.12 [2461]~E(x24611,x24612)+E(f525(x24613,x24611,x24614,x24615),f525(x24613,x24612,x24614,x24615))
% 184.29/184.12 [2462]~E(x24621,x24622)+E(f525(x24623,x24624,x24621,x24625),f525(x24623,x24624,x24622,x24625))
% 184.29/184.12 [2463]~E(x24631,x24632)+E(f525(x24633,x24634,x24635,x24631),f525(x24633,x24634,x24635,x24632))
% 184.29/184.12 [2464]~E(x24641,x24642)+E(f581(x24641,x24643),f581(x24642,x24643))
% 184.29/184.12 [2465]~E(x24651,x24652)+E(f581(x24653,x24651),f581(x24653,x24652))
% 184.29/184.12 [2466]~E(x24661,x24662)+E(f513(x24661,x24663,x24664,x24665,x24666),f513(x24662,x24663,x24664,x24665,x24666))
% 184.29/184.12 [2467]~E(x24671,x24672)+E(f513(x24673,x24671,x24674,x24675,x24676),f513(x24673,x24672,x24674,x24675,x24676))
% 184.29/184.12 [2468]~E(x24681,x24682)+E(f513(x24683,x24684,x24681,x24685,x24686),f513(x24683,x24684,x24682,x24685,x24686))
% 184.29/184.12 [2469]~E(x24691,x24692)+E(f513(x24693,x24694,x24695,x24691,x24696),f513(x24693,x24694,x24695,x24692,x24696))
% 184.29/184.12 [2470]~E(x24701,x24702)+E(f513(x24703,x24704,x24705,x24706,x24701),f513(x24703,x24704,x24705,x24706,x24702))
% 184.29/184.12 [2471]~E(x24711,x24712)+E(f666(x24711,x24713,x24714,x24715,x24716),f666(x24712,x24713,x24714,x24715,x24716))
% 184.29/184.12 [2472]~E(x24721,x24722)+E(f666(x24723,x24721,x24724,x24725,x24726),f666(x24723,x24722,x24724,x24725,x24726))
% 184.29/184.12 [2473]~E(x24731,x24732)+E(f666(x24733,x24734,x24731,x24735,x24736),f666(x24733,x24734,x24732,x24735,x24736))
% 184.29/184.12 [2474]~E(x24741,x24742)+E(f666(x24743,x24744,x24745,x24741,x24746),f666(x24743,x24744,x24745,x24742,x24746))
% 184.29/184.12 [2475]~E(x24751,x24752)+E(f666(x24753,x24754,x24755,x24756,x24751),f666(x24753,x24754,x24755,x24756,x24752))
% 184.29/184.12 [2476]~E(x24761,x24762)+E(f468(x24761,x24763,x24764),f468(x24762,x24763,x24764))
% 184.29/184.12 [2477]~E(x24771,x24772)+E(f468(x24773,x24771,x24774),f468(x24773,x24772,x24774))
% 184.29/184.12 [2478]~E(x24781,x24782)+E(f468(x24783,x24784,x24781),f468(x24783,x24784,x24782))
% 184.29/184.12 [2479]~E(x24791,x24792)+E(f548(x24791,x24793,x24794),f548(x24792,x24793,x24794))
% 184.29/184.12 [2480]~E(x24801,x24802)+E(f548(x24803,x24801,x24804),f548(x24803,x24802,x24804))
% 184.29/184.12 [2481]~E(x24811,x24812)+E(f548(x24813,x24814,x24811),f548(x24813,x24814,x24812))
% 184.29/184.12 [2482]~E(x24821,x24822)+E(f315(x24821,x24823,x24824),f315(x24822,x24823,x24824))
% 184.29/184.12 [2483]~E(x24831,x24832)+E(f315(x24833,x24831,x24834),f315(x24833,x24832,x24834))
% 184.29/184.12 [2484]~E(x24841,x24842)+E(f315(x24843,x24844,x24841),f315(x24843,x24844,x24842))
% 184.29/184.12 [2485]~E(x24851,x24852)+E(f479(x24851,x24853,x24854,x24855,x24856),f479(x24852,x24853,x24854,x24855,x24856))
% 184.29/184.12 [2486]~E(x24861,x24862)+E(f479(x24863,x24861,x24864,x24865,x24866),f479(x24863,x24862,x24864,x24865,x24866))
% 184.29/184.12 [2487]~E(x24871,x24872)+E(f479(x24873,x24874,x24871,x24875,x24876),f479(x24873,x24874,x24872,x24875,x24876))
% 184.29/184.12 [2488]~E(x24881,x24882)+E(f479(x24883,x24884,x24885,x24881,x24886),f479(x24883,x24884,x24885,x24882,x24886))
% 184.29/184.12 [2489]~E(x24891,x24892)+E(f479(x24893,x24894,x24895,x24896,x24891),f479(x24893,x24894,x24895,x24896,x24892))
% 184.29/184.12 [2490]~E(x24901,x24902)+E(f402(x24901,x24903),f402(x24902,x24903))
% 184.29/184.12 [2491]~E(x24911,x24912)+E(f402(x24913,x24911),f402(x24913,x24912))
% 184.29/184.12 [2492]~E(x24921,x24922)+E(f641(x24921,x24923),f641(x24922,x24923))
% 184.29/184.12 [2493]~E(x24931,x24932)+E(f641(x24933,x24931),f641(x24933,x24932))
% 184.29/184.12 [2494]~E(x24941,x24942)+E(f606(x24941,x24943,x24944),f606(x24942,x24943,x24944))
% 184.29/184.12 [2495]~E(x24951,x24952)+E(f606(x24953,x24951,x24954),f606(x24953,x24952,x24954))
% 184.29/184.12 [2496]~E(x24961,x24962)+E(f606(x24963,x24964,x24961),f606(x24963,x24964,x24962))
% 184.29/184.12 [2497]~E(x24971,x24972)+E(f51(x24971),f51(x24972))
% 184.29/184.12 [2498]~E(x24981,x24982)+E(f383(x24981,x24983,x24984,x24985,x24986),f383(x24982,x24983,x24984,x24985,x24986))
% 184.29/184.12 [2499]~E(x24991,x24992)+E(f383(x24993,x24991,x24994,x24995,x24996),f383(x24993,x24992,x24994,x24995,x24996))
% 184.29/184.12 [2500]~E(x25001,x25002)+E(f383(x25003,x25004,x25001,x25005,x25006),f383(x25003,x25004,x25002,x25005,x25006))
% 184.29/184.12 [2501]~E(x25011,x25012)+E(f383(x25013,x25014,x25015,x25011,x25016),f383(x25013,x25014,x25015,x25012,x25016))
% 184.29/184.12 [2502]~E(x25021,x25022)+E(f383(x25023,x25024,x25025,x25026,x25021),f383(x25023,x25024,x25025,x25026,x25022))
% 184.29/184.12 [2503]~E(x25031,x25032)+E(f474(x25031,x25033,x25034),f474(x25032,x25033,x25034))
% 184.29/184.12 [2504]~E(x25041,x25042)+E(f474(x25043,x25041,x25044),f474(x25043,x25042,x25044))
% 184.29/184.12 [2505]~E(x25051,x25052)+E(f474(x25053,x25054,x25051),f474(x25053,x25054,x25052))
% 184.29/184.12 [2506]~E(x25061,x25062)+E(f683(x25061),f683(x25062))
% 184.29/184.12 [2507]~E(x25071,x25072)+E(f690(x25071,x25073,x25074,x25075,x25076,x25077),f690(x25072,x25073,x25074,x25075,x25076,x25077))
% 184.29/184.12 [2508]~E(x25081,x25082)+E(f690(x25083,x25081,x25084,x25085,x25086,x25087),f690(x25083,x25082,x25084,x25085,x25086,x25087))
% 184.29/184.12 [2509]~E(x25091,x25092)+E(f690(x25093,x25094,x25091,x25095,x25096,x25097),f690(x25093,x25094,x25092,x25095,x25096,x25097))
% 184.29/184.12 [2510]~E(x25101,x25102)+E(f690(x25103,x25104,x25105,x25101,x25106,x25107),f690(x25103,x25104,x25105,x25102,x25106,x25107))
% 184.29/184.12 [2511]~E(x25111,x25112)+E(f690(x25113,x25114,x25115,x25116,x25111,x25117),f690(x25113,x25114,x25115,x25116,x25112,x25117))
% 184.29/184.12 [2512]~E(x25121,x25122)+E(f690(x25123,x25124,x25125,x25126,x25127,x25121),f690(x25123,x25124,x25125,x25126,x25127,x25122))
% 184.29/184.12 [2513]~E(x25131,x25132)+E(f363(x25131,x25133,x25134,x25135,x25136),f363(x25132,x25133,x25134,x25135,x25136))
% 184.29/184.12 [2514]~E(x25141,x25142)+E(f363(x25143,x25141,x25144,x25145,x25146),f363(x25143,x25142,x25144,x25145,x25146))
% 184.29/184.12 [2515]~E(x25151,x25152)+E(f363(x25153,x25154,x25151,x25155,x25156),f363(x25153,x25154,x25152,x25155,x25156))
% 184.29/184.12 [2516]~E(x25161,x25162)+E(f363(x25163,x25164,x25165,x25161,x25166),f363(x25163,x25164,x25165,x25162,x25166))
% 184.29/184.12 [2517]~E(x25171,x25172)+E(f363(x25173,x25174,x25175,x25176,x25171),f363(x25173,x25174,x25175,x25176,x25172))
% 184.29/184.12 [2518]~E(x25181,x25182)+E(f308(x25181,x25183,x25184),f308(x25182,x25183,x25184))
% 184.29/184.12 [2519]~E(x25191,x25192)+E(f308(x25193,x25191,x25194),f308(x25193,x25192,x25194))
% 184.29/184.12 [2520]~E(x25201,x25202)+E(f308(x25203,x25204,x25201),f308(x25203,x25204,x25202))
% 184.29/184.12 [2521]~E(x25211,x25212)+E(f797(x25211,x25213,x25214),f797(x25212,x25213,x25214))
% 184.29/184.12 [2522]~E(x25221,x25222)+E(f797(x25223,x25221,x25224),f797(x25223,x25222,x25224))
% 184.29/184.12 [2523]~E(x25231,x25232)+E(f797(x25233,x25234,x25231),f797(x25233,x25234,x25232))
% 184.29/184.12 [2524]~E(x25241,x25242)+E(f449(x25241),f449(x25242))
% 184.29/184.12 [2525]~E(x25251,x25252)+E(f791(x25251,x25253),f791(x25252,x25253))
% 184.29/184.12 [2526]~E(x25261,x25262)+E(f791(x25263,x25261),f791(x25263,x25262))
% 184.29/184.12 [2527]~E(x25271,x25272)+E(f619(x25271,x25273,x25274),f619(x25272,x25273,x25274))
% 184.29/184.12 [2528]~E(x25281,x25282)+E(f619(x25283,x25281,x25284),f619(x25283,x25282,x25284))
% 184.29/184.12 [2529]~E(x25291,x25292)+E(f619(x25293,x25294,x25291),f619(x25293,x25294,x25292))
% 184.29/184.12 [2530]~E(x25301,x25302)+E(f658(x25301,x25303,x25304,x25305,x25306),f658(x25302,x25303,x25304,x25305,x25306))
% 184.29/184.12 [2531]~E(x25311,x25312)+E(f658(x25313,x25311,x25314,x25315,x25316),f658(x25313,x25312,x25314,x25315,x25316))
% 184.29/184.12 [2532]~E(x25321,x25322)+E(f658(x25323,x25324,x25321,x25325,x25326),f658(x25323,x25324,x25322,x25325,x25326))
% 184.29/184.12 [2533]~E(x25331,x25332)+E(f658(x25333,x25334,x25335,x25331,x25336),f658(x25333,x25334,x25335,x25332,x25336))
% 184.29/184.12 [2534]~E(x25341,x25342)+E(f658(x25343,x25344,x25345,x25346,x25341),f658(x25343,x25344,x25345,x25346,x25342))
% 184.29/184.12 [2535]~E(x25351,x25352)+E(f201(x25351,x25353,x25354,x25355),f201(x25352,x25353,x25354,x25355))
% 184.29/184.12 [2536]~E(x25361,x25362)+E(f201(x25363,x25361,x25364,x25365),f201(x25363,x25362,x25364,x25365))
% 184.29/184.12 [2537]~E(x25371,x25372)+E(f201(x25373,x25374,x25371,x25375),f201(x25373,x25374,x25372,x25375))
% 184.29/184.12 [2538]~E(x25381,x25382)+E(f201(x25383,x25384,x25385,x25381),f201(x25383,x25384,x25385,x25382))
% 184.29/184.12 [2539]~E(x25391,x25392)+E(f491(x25391,x25393),f491(x25392,x25393))
% 184.29/184.12 [2540]~E(x25401,x25402)+E(f491(x25403,x25401),f491(x25403,x25402))
% 184.29/184.12 [2541]~E(x25411,x25412)+E(f205(x25411,x25413,x25414,x25415),f205(x25412,x25413,x25414,x25415))
% 184.29/184.12 [2542]~E(x25421,x25422)+E(f205(x25423,x25421,x25424,x25425),f205(x25423,x25422,x25424,x25425))
% 184.29/184.12 [2543]~E(x25431,x25432)+E(f205(x25433,x25434,x25431,x25435),f205(x25433,x25434,x25432,x25435))
% 184.29/184.12 [2544]~E(x25441,x25442)+E(f205(x25443,x25444,x25445,x25441),f205(x25443,x25444,x25445,x25442))
% 184.29/184.12 [2545]~E(x25451,x25452)+E(f579(x25451),f579(x25452))
% 184.29/184.12 [2546]~E(x25461,x25462)+E(f715(x25461,x25463,x25464,x25465,x25466),f715(x25462,x25463,x25464,x25465,x25466))
% 184.29/184.12 [2547]~E(x25471,x25472)+E(f715(x25473,x25471,x25474,x25475,x25476),f715(x25473,x25472,x25474,x25475,x25476))
% 184.29/184.12 [2548]~E(x25481,x25482)+E(f715(x25483,x25484,x25481,x25485,x25486),f715(x25483,x25484,x25482,x25485,x25486))
% 184.29/184.12 [2549]~E(x25491,x25492)+E(f715(x25493,x25494,x25495,x25491,x25496),f715(x25493,x25494,x25495,x25492,x25496))
% 184.29/184.12 [2550]~E(x25501,x25502)+E(f715(x25503,x25504,x25505,x25506,x25501),f715(x25503,x25504,x25505,x25506,x25502))
% 184.29/184.12 [2551]~P1(x25511)+P1(x25512)+~E(x25511,x25512)
% 184.29/184.12 [2552]~P2(x25521)+P2(x25522)+~E(x25521,x25522)
% 184.29/184.12 [2553]P142(x25532,x25533)+~E(x25531,x25532)+~P142(x25531,x25533)
% 184.29/184.12 [2554]P142(x25543,x25542)+~E(x25541,x25542)+~P142(x25543,x25541)
% 184.29/184.12 [2555]P54(x25552,x25553,x25554)+~E(x25551,x25552)+~P54(x25551,x25553,x25554)
% 184.29/184.12 [2556]P54(x25563,x25562,x25564)+~E(x25561,x25562)+~P54(x25563,x25561,x25564)
% 184.29/184.12 [2557]P54(x25573,x25574,x25572)+~E(x25571,x25572)+~P54(x25573,x25574,x25571)
% 184.29/184.12 [2558]~P3(x25581)+P3(x25582)+~E(x25581,x25582)
% 184.29/184.12 [2559]~P100(x25591)+P100(x25592)+~E(x25591,x25592)
% 184.29/184.12 [2560]~P98(x25601)+P98(x25602)+~E(x25601,x25602)
% 184.29/184.12 [2561]~P4(x25611)+P4(x25612)+~E(x25611,x25612)
% 184.29/184.12 [2562]~P110(x25621)+P110(x25622)+~E(x25621,x25622)
% 184.29/184.12 [2563]P141(x25632,x25633,x25634)+~E(x25631,x25632)+~P141(x25631,x25633,x25634)
% 184.29/184.12 [2564]P141(x25643,x25642,x25644)+~E(x25641,x25642)+~P141(x25643,x25641,x25644)
% 184.29/184.12 [2565]P141(x25653,x25654,x25652)+~E(x25651,x25652)+~P141(x25653,x25654,x25651)
% 184.29/184.12 [2566]~P5(x25661)+P5(x25662)+~E(x25661,x25662)
% 184.29/184.12 [2567]P29(x25672,x25673,x25674,x25675)+~E(x25671,x25672)+~P29(x25671,x25673,x25674,x25675)
% 184.29/184.12 [2568]P29(x25683,x25682,x25684,x25685)+~E(x25681,x25682)+~P29(x25683,x25681,x25684,x25685)
% 184.29/184.12 [2569]P29(x25693,x25694,x25692,x25695)+~E(x25691,x25692)+~P29(x25693,x25694,x25691,x25695)
% 184.29/184.12 [2570]P29(x25703,x25704,x25705,x25702)+~E(x25701,x25702)+~P29(x25703,x25704,x25705,x25701)
% 184.29/184.12 [2571]~P79(x25711)+P79(x25712)+~E(x25711,x25712)
% 184.29/184.12 [2572]~P66(x25721)+P66(x25722)+~E(x25721,x25722)
% 184.29/184.12 [2573]~P88(x25731)+P88(x25732)+~E(x25731,x25732)
% 184.29/184.12 [2574]~P85(x25741)+P85(x25742)+~E(x25741,x25742)
% 184.29/184.12 [2575]~P67(x25751)+P67(x25752)+~E(x25751,x25752)
% 184.29/184.12 [2576]P20(x25762,x25763,x25764)+~E(x25761,x25762)+~P20(x25761,x25763,x25764)
% 184.29/184.12 [2577]P20(x25773,x25772,x25774)+~E(x25771,x25772)+~P20(x25773,x25771,x25774)
% 184.29/184.12 [2578]P20(x25783,x25784,x25782)+~E(x25781,x25782)+~P20(x25783,x25784,x25781)
% 184.29/184.12 [2579]P140(x25792,x25793,x25794)+~E(x25791,x25792)+~P140(x25791,x25793,x25794)
% 184.29/184.12 [2580]P140(x25803,x25802,x25804)+~E(x25801,x25802)+~P140(x25803,x25801,x25804)
% 184.29/184.12 [2581]P140(x25813,x25814,x25812)+~E(x25811,x25812)+~P140(x25813,x25814,x25811)
% 184.29/184.12 [2582]~P68(x25821)+P68(x25822)+~E(x25821,x25822)
% 184.29/184.12 [2583]~P73(x25831)+P73(x25832)+~E(x25831,x25832)
% 184.29/184.12 [2584]~P63(x25841)+P63(x25842)+~E(x25841,x25842)
% 184.29/184.12 [2585]~P62(x25851)+P62(x25852)+~E(x25851,x25852)
% 184.29/184.12 [2586]~P137(x25861)+P137(x25862)+~E(x25861,x25862)
% 184.29/184.12 [2587]P36(x25872,x25873)+~E(x25871,x25872)+~P36(x25871,x25873)
% 184.29/184.12 [2588]P36(x25883,x25882)+~E(x25881,x25882)+~P36(x25883,x25881)
% 184.29/184.12 [2589]~P75(x25891)+P75(x25892)+~E(x25891,x25892)
% 184.29/184.12 [2590]~P64(x25901)+P64(x25902)+~E(x25901,x25902)
% 184.29/184.12 [2591]~P93(x25911)+P93(x25912)+~E(x25911,x25912)
% 184.29/184.12 [2592]~P74(x25921)+P74(x25922)+~E(x25921,x25922)
% 184.29/184.12 [2593]~P7(x25931)+P7(x25932)+~E(x25931,x25932)
% 184.29/184.12 [2594]~P119(x25941)+P119(x25942)+~E(x25941,x25942)
% 184.29/184.12 [2595]~P80(x25951)+P80(x25952)+~E(x25951,x25952)
% 184.29/184.12 [2596]P31(x25962,x25963,x25964)+~E(x25961,x25962)+~P31(x25961,x25963,x25964)
% 184.29/184.12 [2597]P31(x25973,x25972,x25974)+~E(x25971,x25972)+~P31(x25973,x25971,x25974)
% 184.29/184.12 [2598]P31(x25983,x25984,x25982)+~E(x25981,x25982)+~P31(x25983,x25984,x25981)
% 184.29/184.12 [2599]~P89(x25991)+P89(x25992)+~E(x25991,x25992)
% 184.29/184.12 [2600]~P117(x26001)+P117(x26002)+~E(x26001,x26002)
% 184.29/184.12 [2601]~P81(x26011)+P81(x26012)+~E(x26011,x26012)
% 184.29/184.12 [2602]P25(x26022,x26023,x26024,x26025,x26026)+~E(x26021,x26022)+~P25(x26021,x26023,x26024,x26025,x26026)
% 184.29/184.12 [2603]P25(x26033,x26032,x26034,x26035,x26036)+~E(x26031,x26032)+~P25(x26033,x26031,x26034,x26035,x26036)
% 184.29/184.12 [2604]P25(x26043,x26044,x26042,x26045,x26046)+~E(x26041,x26042)+~P25(x26043,x26044,x26041,x26045,x26046)
% 184.29/184.12 [2605]P25(x26053,x26054,x26055,x26052,x26056)+~E(x26051,x26052)+~P25(x26053,x26054,x26055,x26051,x26056)
% 184.29/184.12 [2606]P25(x26063,x26064,x26065,x26066,x26062)+~E(x26061,x26062)+~P25(x26063,x26064,x26065,x26066,x26061)
% 184.29/184.12 [2607]~P133(x26071)+P133(x26072)+~E(x26071,x26072)
% 184.29/184.12 [2608]P22(x26082,x26083,x26084)+~E(x26081,x26082)+~P22(x26081,x26083,x26084)
% 184.29/184.12 [2609]P22(x26093,x26092,x26094)+~E(x26091,x26092)+~P22(x26093,x26091,x26094)
% 184.29/184.12 [2610]P22(x26103,x26104,x26102)+~E(x26101,x26102)+~P22(x26103,x26104,x26101)
% 184.29/184.12 [2611]~P9(x26111)+P9(x26112)+~E(x26111,x26112)
% 184.29/184.12 [2612]~P60(x26121)+P60(x26122)+~E(x26121,x26122)
% 184.29/184.12 [2613]~P86(x26131)+P86(x26132)+~E(x26131,x26132)
% 184.29/184.12 [2614]~P99(x26141)+P99(x26142)+~E(x26141,x26142)
% 184.29/184.12 [2615]P12(x26152,x26153,x26154)+~E(x26151,x26152)+~P12(x26151,x26153,x26154)
% 184.29/184.12 [2616]P12(x26163,x26162,x26164)+~E(x26161,x26162)+~P12(x26163,x26161,x26164)
% 184.29/184.12 [2617]P12(x26173,x26174,x26172)+~E(x26171,x26172)+~P12(x26173,x26174,x26171)
% 184.29/184.12 [2618]~P70(x26181)+P70(x26182)+~E(x26181,x26182)
% 184.29/184.12 [2619]P57(x26192,x26193,x26194,x26195)+~E(x26191,x26192)+~P57(x26191,x26193,x26194,x26195)
% 184.29/184.12 [2620]P57(x26203,x26202,x26204,x26205)+~E(x26201,x26202)+~P57(x26203,x26201,x26204,x26205)
% 184.29/184.12 [2621]P57(x26213,x26214,x26212,x26215)+~E(x26211,x26212)+~P57(x26213,x26214,x26211,x26215)
% 184.29/184.12 [2622]P57(x26223,x26224,x26225,x26222)+~E(x26221,x26222)+~P57(x26223,x26224,x26225,x26221)
% 184.29/184.12 [2623]P34(x26232,x26233,x26234,x26235)+~E(x26231,x26232)+~P34(x26231,x26233,x26234,x26235)
% 184.29/184.12 [2624]P34(x26243,x26242,x26244,x26245)+~E(x26241,x26242)+~P34(x26243,x26241,x26244,x26245)
% 184.29/184.12 [2625]P34(x26253,x26254,x26252,x26255)+~E(x26251,x26252)+~P34(x26253,x26254,x26251,x26255)
% 184.29/184.12 [2626]P34(x26263,x26264,x26265,x26262)+~E(x26261,x26262)+~P34(x26263,x26264,x26265,x26261)
% 184.29/184.12 [2627]P28(x26272,x26273,x26274)+~E(x26271,x26272)+~P28(x26271,x26273,x26274)
% 184.29/184.12 [2628]P28(x26283,x26282,x26284)+~E(x26281,x26282)+~P28(x26283,x26281,x26284)
% 184.29/184.12 [2629]P28(x26293,x26294,x26292)+~E(x26291,x26292)+~P28(x26293,x26294,x26291)
% 184.29/184.12 [2630]~P103(x26301)+P103(x26302)+~E(x26301,x26302)
% 184.29/184.12 [2631]~P90(x26311)+P90(x26312)+~E(x26311,x26312)
% 184.29/184.12 [2632]~P77(x26321)+P77(x26322)+~E(x26321,x26322)
% 184.29/184.12 [2633]~P112(x26331)+P112(x26332)+~E(x26331,x26332)
% 184.29/184.12 [2634]P15(x26342,x26343,x26344,x26345,x26346)+~E(x26341,x26342)+~P15(x26341,x26343,x26344,x26345,x26346)
% 184.29/184.12 [2635]P15(x26353,x26352,x26354,x26355,x26356)+~E(x26351,x26352)+~P15(x26353,x26351,x26354,x26355,x26356)
% 184.29/184.12 [2636]P15(x26363,x26364,x26362,x26365,x26366)+~E(x26361,x26362)+~P15(x26363,x26364,x26361,x26365,x26366)
% 184.29/184.12 [2637]P15(x26373,x26374,x26375,x26372,x26376)+~E(x26371,x26372)+~P15(x26373,x26374,x26375,x26371,x26376)
% 184.29/184.12 [2638]P15(x26383,x26384,x26385,x26386,x26382)+~E(x26381,x26382)+~P15(x26383,x26384,x26385,x26386,x26381)
% 184.29/184.12 [2639]P56(x26392,x26393)+~E(x26391,x26392)+~P56(x26391,x26393)
% 184.29/184.12 [2640]P56(x26403,x26402)+~E(x26401,x26402)+~P56(x26403,x26401)
% 184.29/184.12 [2641]~P61(x26411)+P61(x26412)+~E(x26411,x26412)
% 184.29/184.12 [2642]~P102(x26421)+P102(x26422)+~E(x26421,x26422)
% 184.29/184.12 [2643]P39(x26432,x26433,x26434,x26435)+~E(x26431,x26432)+~P39(x26431,x26433,x26434,x26435)
% 184.29/184.12 [2644]P39(x26443,x26442,x26444,x26445)+~E(x26441,x26442)+~P39(x26443,x26441,x26444,x26445)
% 184.29/184.12 [2645]P39(x26453,x26454,x26452,x26455)+~E(x26451,x26452)+~P39(x26453,x26454,x26451,x26455)
% 184.29/184.12 [2646]P39(x26463,x26464,x26465,x26462)+~E(x26461,x26462)+~P39(x26463,x26464,x26465,x26461)
% 184.29/184.12 [2647]P47(x26472,x26473,x26474)+~E(x26471,x26472)+~P47(x26471,x26473,x26474)
% 184.29/184.12 [2648]P47(x26483,x26482,x26484)+~E(x26481,x26482)+~P47(x26483,x26481,x26484)
% 184.29/184.12 [2649]P47(x26493,x26494,x26492)+~E(x26491,x26492)+~P47(x26493,x26494,x26491)
% 184.29/184.12 [2650]P23(x26502,x26503,x26504,x26505)+~E(x26501,x26502)+~P23(x26501,x26503,x26504,x26505)
% 184.29/184.12 [2651]P23(x26513,x26512,x26514,x26515)+~E(x26511,x26512)+~P23(x26513,x26511,x26514,x26515)
% 184.29/184.12 [2652]P23(x26523,x26524,x26522,x26525)+~E(x26521,x26522)+~P23(x26523,x26524,x26521,x26525)
% 184.29/184.12 [2653]P23(x26533,x26534,x26535,x26532)+~E(x26531,x26532)+~P23(x26533,x26534,x26535,x26531)
% 184.29/184.12 [2654]~P111(x26541)+P111(x26542)+~E(x26541,x26542)
% 184.29/184.12 [2655]~P120(x26551)+P120(x26552)+~E(x26551,x26552)
% 184.29/184.12 [2656]~P121(x26561)+P121(x26562)+~E(x26561,x26562)
% 184.29/184.12 [2657]P18(x26572,x26573)+~E(x26571,x26572)+~P18(x26571,x26573)
% 184.29/184.12 [2658]P18(x26583,x26582)+~E(x26581,x26582)+~P18(x26583,x26581)
% 184.29/184.12 [2659]P16(x26592,x26593,x26594,x26595)+~E(x26591,x26592)+~P16(x26591,x26593,x26594,x26595)
% 184.29/184.12 [2660]P16(x26603,x26602,x26604,x26605)+~E(x26601,x26602)+~P16(x26603,x26601,x26604,x26605)
% 184.29/184.12 [2661]P16(x26613,x26614,x26612,x26615)+~E(x26611,x26612)+~P16(x26613,x26614,x26611,x26615)
% 184.29/184.12 [2662]P16(x26623,x26624,x26625,x26622)+~E(x26621,x26622)+~P16(x26623,x26624,x26625,x26621)
% 184.29/184.12 [2663]~P91(x26631)+P91(x26632)+~E(x26631,x26632)
% 184.29/184.12 [2664]~P69(x26641)+P69(x26642)+~E(x26641,x26642)
% 184.29/184.12 [2665]~P129(x26651)+P129(x26652)+~E(x26651,x26652)
% 184.29/184.12 [2666]~P136(x26661)+P136(x26662)+~E(x26661,x26662)
% 184.29/184.12 [2667]P48(x26672,x26673)+~E(x26671,x26672)+~P48(x26671,x26673)
% 184.29/184.12 [2668]P48(x26683,x26682)+~E(x26681,x26682)+~P48(x26683,x26681)
% 184.29/184.12 [2669]~P78(x26691)+P78(x26692)+~E(x26691,x26692)
% 184.29/184.12 [2670]P45(x26702,x26703,x26704)+~E(x26701,x26702)+~P45(x26701,x26703,x26704)
% 184.29/184.12 [2671]P45(x26713,x26712,x26714)+~E(x26711,x26712)+~P45(x26713,x26711,x26714)
% 184.29/184.12 [2672]P45(x26723,x26724,x26722)+~E(x26721,x26722)+~P45(x26723,x26724,x26721)
% 184.29/184.12 [2673]~P128(x26731)+P128(x26732)+~E(x26731,x26732)
% 184.29/184.12 [2674]~P76(x26741)+P76(x26742)+~E(x26741,x26742)
% 184.29/184.12 [2675]~P113(x26751)+P113(x26752)+~E(x26751,x26752)
% 184.29/184.12 [2676]~P105(x26761)+P105(x26762)+~E(x26761,x26762)
% 184.29/184.12 [2677]~P87(x26771)+P87(x26772)+~E(x26771,x26772)
% 184.29/184.12 [2678]~P118(x26781)+P118(x26782)+~E(x26781,x26782)
% 184.29/184.12 [2679]~P104(x26791)+P104(x26792)+~E(x26791,x26792)
% 184.29/184.12 [2680]~P123(x26801)+P123(x26802)+~E(x26801,x26802)
% 184.29/184.12 [2681]~P6(x26811)+P6(x26812)+~E(x26811,x26812)
% 184.29/184.12 [2682]~P122(x26821)+P122(x26822)+~E(x26821,x26822)
% 184.29/184.12 [2683]~P38(x26831)+P38(x26832)+~E(x26831,x26832)
% 184.29/184.12 [2684]P19(x26842,x26843,x26844)+~E(x26841,x26842)+~P19(x26841,x26843,x26844)
% 184.29/184.12 [2685]P19(x26853,x26852,x26854)+~E(x26851,x26852)+~P19(x26853,x26851,x26854)
% 184.29/184.12 [2686]P19(x26863,x26864,x26862)+~E(x26861,x26862)+~P19(x26863,x26864,x26861)
% 184.29/184.12 [2687]~P134(x26871)+P134(x26872)+~E(x26871,x26872)
% 184.29/184.12 [2688]~P127(x26881)+P127(x26882)+~E(x26881,x26882)
% 184.29/184.12 [2689]~P35(x26891)+P35(x26892)+~E(x26891,x26892)
% 184.29/184.12 [2690]~P97(x26901)+P97(x26902)+~E(x26901,x26902)
% 184.29/184.12 [2691]~P138(x26911)+P138(x26912)+~E(x26911,x26912)
% 184.29/184.12 [2692]~P135(x26921)+P135(x26922)+~E(x26921,x26922)
% 184.29/184.12 [2693]~P96(x26931)+P96(x26932)+~E(x26931,x26932)
% 184.29/184.12 [2694]~P109(x26941)+P109(x26942)+~E(x26941,x26942)
% 184.29/184.12 [2695]~P71(x26951)+P71(x26952)+~E(x26951,x26952)
% 184.29/184.12 [2696]~P84(x26961)+P84(x26962)+~E(x26961,x26962)
% 184.29/184.12 [2697]~P106(x26971)+P106(x26972)+~E(x26971,x26972)
% 184.29/184.12 [2698]P21(x26982,x26983,x26984)+~E(x26981,x26982)+~P21(x26981,x26983,x26984)
% 184.29/184.12 [2699]P21(x26993,x26992,x26994)+~E(x26991,x26992)+~P21(x26993,x26991,x26994)
% 184.29/184.12 [2700]P21(x27003,x27004,x27002)+~E(x27001,x27002)+~P21(x27003,x27004,x27001)
% 184.29/184.12 [2701]~P10(x27011)+P10(x27012)+~E(x27011,x27012)
% 184.29/184.12 [2702]~P114(x27021)+P114(x27022)+~E(x27021,x27022)
% 184.29/184.12 [2703]~P92(x27031)+P92(x27032)+~E(x27031,x27032)
% 184.29/184.12 [2704]P33(x27042,x27043)+~E(x27041,x27042)+~P33(x27041,x27043)
% 184.29/184.12 [2705]P33(x27053,x27052)+~E(x27051,x27052)+~P33(x27053,x27051)
% 184.29/184.12 [2706]P50(x27062,x27063,x27064,x27065)+~E(x27061,x27062)+~P50(x27061,x27063,x27064,x27065)
% 184.29/184.12 [2707]P50(x27073,x27072,x27074,x27075)+~E(x27071,x27072)+~P50(x27073,x27071,x27074,x27075)
% 184.29/184.12 [2708]P50(x27083,x27084,x27082,x27085)+~E(x27081,x27082)+~P50(x27083,x27084,x27081,x27085)
% 184.29/184.12 [2709]P50(x27093,x27094,x27095,x27092)+~E(x27091,x27092)+~P50(x27093,x27094,x27095,x27091)
% 184.29/184.12 [2710]P53(x27102,x27103,x27104)+~E(x27101,x27102)+~P53(x27101,x27103,x27104)
% 184.29/184.12 [2711]P53(x27113,x27112,x27114)+~E(x27111,x27112)+~P53(x27113,x27111,x27114)
% 184.29/184.12 [2712]P53(x27123,x27124,x27122)+~E(x27121,x27122)+~P53(x27123,x27124,x27121)
% 184.29/184.12 [2713]~P115(x27131)+P115(x27132)+~E(x27131,x27132)
% 184.29/184.12 [2714]P30(x27142,x27143)+~E(x27141,x27142)+~P30(x27141,x27143)
% 184.29/184.12 [2715]P30(x27153,x27152)+~E(x27151,x27152)+~P30(x27153,x27151)
% 184.29/184.12 [2716]P32(x27162,x27163,x27164)+~E(x27161,x27162)+~P32(x27161,x27163,x27164)
% 184.29/184.12 [2717]P32(x27173,x27172,x27174)+~E(x27171,x27172)+~P32(x27173,x27171,x27174)
% 184.29/184.12 [2718]P32(x27183,x27184,x27182)+~E(x27181,x27182)+~P32(x27183,x27184,x27181)
% 184.29/184.12 [2719]~P82(x27191)+P82(x27192)+~E(x27191,x27192)
% 184.29/184.12 [2720]~P124(x27201)+P124(x27202)+~E(x27201,x27202)
% 184.29/184.12 [2721]P27(x27212,x27213,x27214,x27215,x27216,x27217)+~E(x27211,x27212)+~P27(x27211,x27213,x27214,x27215,x27216,x27217)
% 184.29/184.12 [2722]P27(x27223,x27222,x27224,x27225,x27226,x27227)+~E(x27221,x27222)+~P27(x27223,x27221,x27224,x27225,x27226,x27227)
% 184.29/184.12 [2723]P27(x27233,x27234,x27232,x27235,x27236,x27237)+~E(x27231,x27232)+~P27(x27233,x27234,x27231,x27235,x27236,x27237)
% 184.29/184.12 [2724]P27(x27243,x27244,x27245,x27242,x27246,x27247)+~E(x27241,x27242)+~P27(x27243,x27244,x27245,x27241,x27246,x27247)
% 184.29/184.12 [2725]P27(x27253,x27254,x27255,x27256,x27252,x27257)+~E(x27251,x27252)+~P27(x27253,x27254,x27255,x27256,x27251,x27257)
% 184.29/184.12 [2726]P27(x27263,x27264,x27265,x27266,x27267,x27262)+~E(x27261,x27262)+~P27(x27263,x27264,x27265,x27266,x27267,x27261)
% 184.29/184.12 [2727]~P101(x27271)+P101(x27272)+~E(x27271,x27272)
% 184.29/184.12 [2728]~P139(x27281)+P139(x27282)+~E(x27281,x27282)
% 184.29/184.12 [2729]~P13(x27291)+P13(x27292)+~E(x27291,x27292)
% 184.29/184.12 [2730]~P94(x27301)+P94(x27302)+~E(x27301,x27302)
% 184.29/184.12 [2731]~P95(x27311)+P95(x27312)+~E(x27311,x27312)
% 184.29/184.12 [2732]P55(x27322,x27323,x27324,x27325,x27326)+~E(x27321,x27322)+~P55(x27321,x27323,x27324,x27325,x27326)
% 184.29/184.12 [2733]P55(x27333,x27332,x27334,x27335,x27336)+~E(x27331,x27332)+~P55(x27333,x27331,x27334,x27335,x27336)
% 184.29/184.12 [2734]P55(x27343,x27344,x27342,x27345,x27346)+~E(x27341,x27342)+~P55(x27343,x27344,x27341,x27345,x27346)
% 184.29/184.12 [2735]P55(x27353,x27354,x27355,x27352,x27356)+~E(x27351,x27352)+~P55(x27353,x27354,x27355,x27351,x27356)
% 184.29/184.12 [2736]P55(x27363,x27364,x27365,x27366,x27362)+~E(x27361,x27362)+~P55(x27363,x27364,x27365,x27366,x27361)
% 184.29/184.12 [2737]~P131(x27371)+P131(x27372)+~E(x27371,x27372)
% 184.29/184.12 [2738]P40(x27382,x27383,x27384,x27385)+~E(x27381,x27382)+~P40(x27381,x27383,x27384,x27385)
% 184.29/184.12 [2739]P40(x27393,x27392,x27394,x27395)+~E(x27391,x27392)+~P40(x27393,x27391,x27394,x27395)
% 184.29/184.12 [2740]P40(x27403,x27404,x27402,x27405)+~E(x27401,x27402)+~P40(x27403,x27404,x27401,x27405)
% 184.29/184.12 [2741]P40(x27413,x27414,x27415,x27412)+~E(x27411,x27412)+~P40(x27413,x27414,x27415,x27411)
% 184.29/184.12 [2742]~P59(x27421)+P59(x27422)+~E(x27421,x27422)
% 184.29/184.12 [2743]~P130(x27431)+P130(x27432)+~E(x27431,x27432)
% 184.29/184.12 [2744]~P132(x27441)+P132(x27442)+~E(x27441,x27442)
% 184.29/184.12 [2745]P37(x27452,x27453)+~E(x27451,x27452)+~P37(x27451,x27453)
% 184.29/184.12 [2746]P37(x27463,x27462)+~E(x27461,x27462)+~P37(x27463,x27461)
% 184.29/184.12 [2747]~P125(x27471)+P125(x27472)+~E(x27471,x27472)
% 184.29/184.12 [2748]P46(x27482,x27483,x27484)+~E(x27481,x27482)+~P46(x27481,x27483,x27484)
% 184.29/184.12 [2749]P46(x27493,x27492,x27494)+~E(x27491,x27492)+~P46(x27493,x27491,x27494)
% 184.29/184.12 [2750]P46(x27503,x27504,x27502)+~E(x27501,x27502)+~P46(x27503,x27504,x27501)
% 184.29/184.12 [2751]P51(x27512,x27513,x27514,x27515,x27516,x27517,x27518)+~E(x27511,x27512)+~P51(x27511,x27513,x27514,x27515,x27516,x27517,x27518)
% 184.29/184.12 [2752]P51(x27523,x27522,x27524,x27525,x27526,x27527,x27528)+~E(x27521,x27522)+~P51(x27523,x27521,x27524,x27525,x27526,x27527,x27528)
% 184.29/184.12 [2753]P51(x27533,x27534,x27532,x27535,x27536,x27537,x27538)+~E(x27531,x27532)+~P51(x27533,x27534,x27531,x27535,x27536,x27537,x27538)
% 184.29/184.12 [2754]P51(x27543,x27544,x27545,x27542,x27546,x27547,x27548)+~E(x27541,x27542)+~P51(x27543,x27544,x27545,x27541,x27546,x27547,x27548)
% 184.29/184.12 [2755]P51(x27553,x27554,x27555,x27556,x27552,x27557,x27558)+~E(x27551,x27552)+~P51(x27553,x27554,x27555,x27556,x27551,x27557,x27558)
% 184.29/184.12 [2756]P51(x27563,x27564,x27565,x27566,x27567,x27562,x27568)+~E(x27561,x27562)+~P51(x27563,x27564,x27565,x27566,x27567,x27561,x27568)
% 184.29/184.12 [2757]P51(x27573,x27574,x27575,x27576,x27577,x27578,x27572)+~E(x27571,x27572)+~P51(x27573,x27574,x27575,x27576,x27577,x27578,x27571)
% 184.29/184.12 [2758]~P126(x27581)+P126(x27582)+~E(x27581,x27582)
% 184.29/184.12 [2759]P41(x27592,x27593,x27594,x27595,x27596,x27597)+~E(x27591,x27592)+~P41(x27591,x27593,x27594,x27595,x27596,x27597)
% 184.29/184.12 [2760]P41(x27603,x27602,x27604,x27605,x27606,x27607)+~E(x27601,x27602)+~P41(x27603,x27601,x27604,x27605,x27606,x27607)
% 184.29/184.12 [2761]P41(x27613,x27614,x27612,x27615,x27616,x27617)+~E(x27611,x27612)+~P41(x27613,x27614,x27611,x27615,x27616,x27617)
% 184.29/184.12 [2762]P41(x27623,x27624,x27625,x27622,x27626,x27627)+~E(x27621,x27622)+~P41(x27623,x27624,x27625,x27621,x27626,x27627)
% 184.29/184.12 [2763]P41(x27633,x27634,x27635,x27636,x27632,x27637)+~E(x27631,x27632)+~P41(x27633,x27634,x27635,x27636,x27631,x27637)
% 184.29/184.12 [2764]P41(x27643,x27644,x27645,x27646,x27647,x27642)+~E(x27641,x27642)+~P41(x27643,x27644,x27645,x27646,x27647,x27641)
% 184.29/184.12 [2765]P11(x27652,x27653)+~E(x27651,x27652)+~P11(x27651,x27653)
% 184.29/184.12 [2766]P11(x27663,x27662)+~E(x27661,x27662)+~P11(x27663,x27661)
% 184.29/184.12 [2767]P49(x27672,x27673)+~E(x27671,x27672)+~P49(x27671,x27673)
% 184.29/184.12 [2768]P49(x27683,x27682)+~E(x27681,x27682)+~P49(x27683,x27681)
% 184.29/184.12 [2769]P26(x27692,x27693,x27694,x27695,x27696,x27697)+~E(x27691,x27692)+~P26(x27691,x27693,x27694,x27695,x27696,x27697)
% 184.29/184.12 [2770]P26(x27703,x27702,x27704,x27705,x27706,x27707)+~E(x27701,x27702)+~P26(x27703,x27701,x27704,x27705,x27706,x27707)
% 184.29/184.12 [2771]P26(x27713,x27714,x27712,x27715,x27716,x27717)+~E(x27711,x27712)+~P26(x27713,x27714,x27711,x27715,x27716,x27717)
% 184.29/184.12 [2772]P26(x27723,x27724,x27725,x27722,x27726,x27727)+~E(x27721,x27722)+~P26(x27723,x27724,x27725,x27721,x27726,x27727)
% 184.29/184.12 [2773]P26(x27733,x27734,x27735,x27736,x27732,x27737)+~E(x27731,x27732)+~P26(x27733,x27734,x27735,x27736,x27731,x27737)
% 184.29/184.12 [2774]P26(x27743,x27744,x27745,x27746,x27747,x27742)+~E(x27741,x27742)+~P26(x27743,x27744,x27745,x27746,x27747,x27741)
% 184.29/184.12 [2775]~P8(x27751)+P8(x27752)+~E(x27751,x27752)
% 184.29/184.12 [2776]P58(x27762,x27763)+~E(x27761,x27762)+~P58(x27761,x27763)
% 184.29/184.12 [2777]P58(x27773,x27772)+~E(x27771,x27772)+~P58(x27773,x27771)
% 184.29/184.12 [2778]P14(x27782,x27783,x27784)+~E(x27781,x27782)+~P14(x27781,x27783,x27784)
% 184.29/184.12 [2779]P14(x27793,x27792,x27794)+~E(x27791,x27792)+~P14(x27793,x27791,x27794)
% 184.29/184.12 [2780]P14(x27803,x27804,x27802)+~E(x27801,x27802)+~P14(x27803,x27804,x27801)
% 184.29/184.12 [2781]P52(x27812,x27813,x27814,x27815)+~E(x27811,x27812)+~P52(x27811,x27813,x27814,x27815)
% 184.29/184.12 [2782]P52(x27823,x27822,x27824,x27825)+~E(x27821,x27822)+~P52(x27823,x27821,x27824,x27825)
% 184.29/184.12 [2783]P52(x27833,x27834,x27832,x27835)+~E(x27831,x27832)+~P52(x27833,x27834,x27831,x27835)
% 184.29/184.12 [2784]P52(x27843,x27844,x27845,x27842)+~E(x27841,x27842)+~P52(x27843,x27844,x27845,x27841)
% 184.29/184.12 [2785]~P43(x27851)+P43(x27852)+~E(x27851,x27852)
% 184.29/184.12 [2786]P17(x27862,x27863,x27864,x27865,x27866,x27867)+~E(x27861,x27862)+~P17(x27861,x27863,x27864,x27865,x27866,x27867)
% 184.29/184.12 [2787]P17(x27873,x27872,x27874,x27875,x27876,x27877)+~E(x27871,x27872)+~P17(x27873,x27871,x27874,x27875,x27876,x27877)
% 184.29/184.12 [2788]P17(x27883,x27884,x27882,x27885,x27886,x27887)+~E(x27881,x27882)+~P17(x27883,x27884,x27881,x27885,x27886,x27887)
% 184.29/184.12 [2789]P17(x27893,x27894,x27895,x27892,x27896,x27897)+~E(x27891,x27892)+~P17(x27893,x27894,x27895,x27891,x27896,x27897)
% 184.29/184.12 [2790]P17(x27903,x27904,x27905,x27906,x27902,x27907)+~E(x27901,x27902)+~P17(x27903,x27904,x27905,x27906,x27901,x27907)
% 184.29/184.12 [2791]P17(x27913,x27914,x27915,x27916,x27917,x27912)+~E(x27911,x27912)+~P17(x27913,x27914,x27915,x27916,x27917,x27911)
% 184.29/184.12 [2792]P24(x27922,x27923,x27924,x27925)+~E(x27921,x27922)+~P24(x27921,x27923,x27924,x27925)
% 184.29/184.12 [2793]P24(x27933,x27932,x27934,x27935)+~E(x27931,x27932)+~P24(x27933,x27931,x27934,x27935)
% 184.29/184.12 [2794]P24(x27943,x27944,x27942,x27945)+~E(x27941,x27942)+~P24(x27943,x27944,x27941,x27945)
% 184.29/184.12 [2795]P24(x27953,x27954,x27955,x27952)+~E(x27951,x27952)+~P24(x27953,x27954,x27955,x27951)
% 184.29/184.12 [2796]~P83(x27961)+P83(x27962)+~E(x27961,x27962)
% 184.29/184.12 [2797]~P72(x27971)+P72(x27972)+~E(x27971,x27972)
% 184.29/184.12 [2798]~P65(x27981)+P65(x27982)+~E(x27981,x27982)
% 184.29/184.12 [2799]~P108(x27991)+P108(x27992)+~E(x27991,x27992)
% 184.29/184.12 [2800]P44(x28002,x28003)+~E(x28001,x28002)+~P44(x28001,x28003)
% 184.29/184.12 [2801]P44(x28013,x28012)+~E(x28011,x28012)+~P44(x28013,x28011)
% 184.29/184.12 [2802]~P116(x28021)+P116(x28022)+~E(x28021,x28022)
% 184.29/184.12 [2803]~P107(x28031)+P107(x28032)+~E(x28031,x28032)
% 184.29/184.12 [2804]P42(x28042,x28043)+~E(x28041,x28042)+~P42(x28041,x28043)
% 184.29/184.12 [2805]P42(x28053,x28052)+~E(x28051,x28052)+~P42(x28053,x28051)
% 184.29/184.12
% 184.29/184.12 %-------------------------------------------
% 184.37/184.15 cnf(10043,plain,
% 184.37/184.15 (E(f37(x100431,x100432,x100433,x100434,x100435,x100436,x100437,x100438,x100439,a25),x100432)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(10046,plain,
% 184.37/184.15 (E(f37(x100461,x100462,x100463,x100464,x100465,x100466,x100467,x100468,x100469,a25),x100462)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(10049,plain,
% 184.37/184.15 (~E(f775(a114,x100491),x100491)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10052,plain,
% 184.37/184.15 (E(f37(x100521,x100522,x100523,x100524,x100525,x100526,x100527,x100528,x100529,a25),x100522)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(10059,plain,
% 184.37/184.15 (~E(f775(a114,x100591),x100591)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10070,plain,
% 184.37/184.15 (~E(f775(a114,x100701),x100701)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10073,plain,
% 184.37/184.15 (~P1(f775(f64(x100731,x100732,f180(f857(x100731,a844))),x100733))),
% 184.37/184.15 inference(rename_variables,[],[4476])).
% 184.37/184.15 cnf(10076,plain,
% 184.37/184.15 (~P1(f775(f64(x100761,x100762,f180(f857(x100761,a844))),x100763))),
% 184.37/184.15 inference(rename_variables,[],[4476])).
% 184.37/184.15 cnf(10079,plain,
% 184.37/184.15 (~E(f775(a114,x100791),x100791)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10082,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x100821),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(10085,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x100851),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(10102,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x101021)),x101021))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(10105,plain,
% 184.37/184.15 (~E(f775(f775(f140(x101051),x101052),x101053),x101053)),
% 184.37/184.15 inference(rename_variables,[],[4399])).
% 184.37/184.15 cnf(10111,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x101111),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(10114,plain,
% 184.37/184.15 (E(f37(x101141,x101142,x101143,x101144,x101145,x101146,x101147,x101148,x101149,a25),x101142)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(10117,plain,
% 184.37/184.15 (E(f37(x101171,x101172,x101173,x101174,x101175,x101176,x101177,x101178,x101179,a25),x101172)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(10124,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x101241),x101242)),x101242))),
% 184.37/184.15 inference(rename_variables,[],[4477])).
% 184.37/184.15 cnf(10127,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x101271),x101272)),x101272))),
% 184.37/184.15 inference(rename_variables,[],[4477])).
% 184.37/184.15 cnf(10134,plain,
% 184.37/184.15 (~E(x101341,f775(a114,x101341))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,4365,10049,10059,10070,3028,3086,3051,3035,4399,3254,4453,10082,10085,4450,4393,4462,4007,4460,3162,4445,4476,10073,4479,4477,10124,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071])).
% 184.37/184.15 cnf(10148,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x101481),x101481))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(10151,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),f52(a850,x101511,x101512)),x101511))),
% 184.37/184.15 inference(rename_variables,[],[3637])).
% 184.37/184.15 cnf(10170,plain,
% 184.37/184.15 (E(f775(f42(a850),f775(f257(a850),x101701)),x101701)),
% 184.37/184.15 inference(rename_variables,[],[3083])).
% 184.37/184.15 cnf(10178,plain,
% 184.37/184.15 (~E(f775(a114,x101781),x101781)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10181,plain,
% 184.37/184.15 (~E(f775(a114,x101811),x101811)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10184,plain,
% 184.37/184.15 (~E(f775(a114,x101841),x101841)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10186,plain,
% 184.37/184.15 (P1(f775(a186,a99))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,4365,10049,10059,10070,10079,10178,10181,3028,3086,3051,3035,3119,4399,3083,4481,3102,3254,4453,10082,10085,3770,3188,4450,4393,4449,10148,3280,3701,3637,4462,10102,4007,4460,4441,3162,4445,4476,10073,4479,4477,10124,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201])).
% 184.37/184.15 cnf(10189,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x101891),f775(a114,x101891)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(10192,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x101921),f775(a114,x101921)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(10194,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x101941),f775(a114,x101941)))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,4365,10049,10059,10070,10079,10178,10181,3028,3086,3051,3035,3119,4399,3083,4481,3102,3254,10189,4453,10082,10085,3770,3188,4450,4393,4449,10148,3280,3701,3637,4462,10102,4007,4460,4441,3162,4445,4476,10073,4479,4477,10124,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213])).
% 184.37/184.15 cnf(10201,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x102011),x102011))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(10208,plain,
% 184.37/184.15 (E(f37(x102081,x102082,x102083,x102084,x102085,x102086,x102087,x102088,x102089,a25),x102082)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(10211,plain,
% 184.37/184.15 (E(f37(x102111,x102112,x102113,x102114,x102115,x102116,x102117,x102118,x102119,a25),x102112)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(10236,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x102361),x102361))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(10241,plain,
% 184.37/184.15 (~E(f775(f775(f775(f74(x102411,f854(x102412)),x102413),x102414),f775(f227(x102412),x102415)),f775(f18(f854(x102412),x102411),f183(x102412)))),
% 184.37/184.15 inference(rename_variables,[],[4473])).
% 184.37/184.15 cnf(10245,plain,
% 184.37/184.15 (E(f775(f775(f82(a850),x102451),f680(x102451,x102451)),x102451)),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,4365,10049,10059,10070,10079,10178,10181,3028,3086,3051,3035,3119,4473,4399,3083,3962,4481,3102,3254,10189,10192,4453,10082,10085,3617,3770,3213,3215,3188,4450,4393,3912,3184,3185,4449,10148,3280,3701,3637,10151,4462,10102,4007,4460,4441,3162,4445,4476,10073,4479,3660,4477,10124,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342])).
% 184.37/184.15 cnf(10270,plain,
% 184.37/184.15 (~E(f775(f775(f140(x102701),x102702),x102703),x102703)),
% 184.37/184.15 inference(rename_variables,[],[4399])).
% 184.37/184.15 cnf(10273,plain,
% 184.37/184.15 (~E(f775(a27,x102731),f35(x102732,x102733))),
% 184.37/184.15 inference(rename_variables,[],[4383])).
% 184.37/184.15 cnf(10286,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x102861),x102861))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(10289,plain,
% 184.37/184.15 (~E(f775(a114,x102891),x102891)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10296,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x102961),x102961))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(10305,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x103051),f775(a114,x103051)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(10310,plain,
% 184.37/184.15 (E(f775(f775(f125(x103101),f115(x103101)),x103102),x103102)),
% 184.37/184.15 inference(rename_variables,[],[3139])).
% 184.37/184.15 cnf(10328,plain,
% 184.37/184.15 (~P1(f775(f64(x103281,x103282,f180(f857(x103281,a844))),x103283))),
% 184.37/184.15 inference(rename_variables,[],[4476])).
% 184.37/184.15 cnf(10347,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x103471),x103471))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(10363,plain,
% 184.37/184.15 (E(f775(f775(f242(a850),f775(f106(a850),a99)),x103631),f775(f775(f242(a850),f2(a850)),x103631))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,4365,10049,10059,10070,10079,10178,10181,10184,4383,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,3962,4481,3102,3543,3254,10189,10192,10305,4453,10082,10085,10111,4469,3617,3770,3213,3215,3188,4450,4393,3912,3184,10201,3185,3186,4449,10148,10236,3280,3701,3637,10151,4462,10102,4007,4460,4441,4444,3162,3163,4445,4476,10073,10076,4479,3660,4477,10124,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704])).
% 184.37/184.15 cnf(10368,plain,
% 184.37/184.15 (~E(f775(a27,x103681),f35(x103682,x103683))),
% 184.37/184.15 inference(rename_variables,[],[4383])).
% 184.37/184.15 cnf(10374,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),f2(a850)),f775(a107,f80(a1))))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,4365,10049,10059,10070,10079,10178,10181,10184,4383,10273,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,3962,4481,3102,3543,3254,10189,10192,10305,4453,10082,10085,10111,4469,3617,3770,3213,3215,3188,4450,4393,3912,3184,10201,3185,3186,4449,10148,10236,3280,3701,3637,10151,4462,10102,4007,4460,4441,4444,3162,3163,4445,4476,10073,10076,4479,3660,4477,10124,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771])).
% 184.37/184.15 cnf(10377,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x103771),x103771))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(10382,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x103821),f775(a114,x103821)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(10394,plain,
% 184.37/184.15 (~E(f775(f142(x103941),f775(a114,f775(f775(f125(x103941),f775(f142(x103941),x103942)),f775(f775(f140(x103941),x103943),f115(x103941))))),f775(f775(f140(x103941),x103943),x103942))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,4365,10049,10059,10070,10079,10178,10181,10184,10289,4383,10273,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,3962,4481,3102,3543,3254,10189,10192,10305,10382,4453,10082,10085,10111,4469,3617,3770,3213,3215,3188,4450,4393,3912,3184,10201,3185,3186,4449,10148,10236,10347,3280,3701,3637,10151,4462,10102,4007,4460,4441,4444,3162,3163,4445,4476,10073,10076,4479,3660,4477,10124,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880])).
% 184.37/184.15 cnf(10395,plain,
% 184.37/184.15 (~E(f775(a114,x103951),x103951)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10409,plain,
% 184.37/184.15 (P1(f775(f775(f233(a101),f775(a5,x104091)),f775(a5,f775(a114,x104091))))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,4365,10049,10059,10070,10079,10178,10181,10184,10289,4383,10273,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,3962,4481,3102,3543,3254,10189,10192,10305,10382,3632,4453,10082,10085,10111,4469,3617,3770,3213,3215,3188,4450,4393,3912,3184,10201,3185,3186,4449,10148,10236,10347,3280,3701,3637,10151,4462,10102,4007,4460,4441,4444,3162,3163,4445,4476,10073,10076,4479,3660,4477,10124,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962])).
% 184.37/184.15 cnf(10420,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x104201),x104201))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(10423,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x104231),f775(a114,f775(f775(f82(a850),x104232),x104231))))),
% 184.37/184.15 inference(rename_variables,[],[3630])).
% 184.37/184.15 cnf(10426,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x104261),f775(f775(f83(a850),x104261),x104261)))),
% 184.37/184.15 inference(rename_variables,[],[3454])).
% 184.37/184.15 cnf(10428,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x104281),f775(f775(f83(a850),f775(a114,x104281)),f775(a114,x104281))))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,4365,10049,10059,10070,10079,10178,10181,10184,10289,4383,10273,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,3962,4481,3102,3543,3254,10189,10192,10305,10382,3632,4453,10082,10085,10111,4469,3617,3770,3213,3215,3188,4450,4393,3912,3184,10201,10296,3185,3186,4449,10148,10236,10347,3280,3701,3637,10151,4462,10102,4007,4460,4441,4444,3162,3163,4445,4476,10073,10076,3454,10426,4479,3660,4477,10124,3630,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988])).
% 184.37/184.15 cnf(10429,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x104291),f775(f775(f83(a850),x104291),x104291)))),
% 184.37/184.15 inference(rename_variables,[],[3454])).
% 184.37/184.15 cnf(10434,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x104341),f775(a114,x104341)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(10437,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x104371),f775(a114,x104371)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(10440,plain,
% 184.37/184.15 (P1(f775(f775(f334(x104401),x104402),f239(f857(x104401,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3341])).
% 184.37/184.15 cnf(10453,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x104531),x104532)),x104532))),
% 184.37/184.15 inference(rename_variables,[],[4477])).
% 184.37/184.15 cnf(10456,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x104561),x104562)),x104562))),
% 184.37/184.15 inference(rename_variables,[],[4477])).
% 184.37/184.15 cnf(10459,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x104591)),x104591))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(10462,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x104621)),x104621))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(10465,plain,
% 184.37/184.15 (P1(f775(f239(f857(x104651,a844)),x104652))),
% 184.37/184.15 inference(rename_variables,[],[3248])).
% 184.37/184.15 cnf(10468,plain,
% 184.37/184.15 (E(f775(f42(a850),f775(f257(a850),x104681)),x104681)),
% 184.37/184.15 inference(rename_variables,[],[3083])).
% 184.37/184.15 cnf(10471,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x104711),f775(a114,x104711)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(10478,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x104781),x104781))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(10483,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x104831),x104831))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(10492,plain,
% 184.37/184.15 (E(f37(x104921,x104922,x104923,x104924,x104925,x104926,x104927,x104928,x104929,a25),x104922)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(10495,plain,
% 184.37/184.15 (P1(f775(f239(f857(x104951,a844)),x104952))),
% 184.37/184.15 inference(rename_variables,[],[3248])).
% 184.37/184.15 cnf(10497,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(f775(f83(a850),f775(a114,x104971)),f775(a114,x104971))),x104971))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,4365,10049,10059,10070,10079,10178,10181,10184,10289,4383,10273,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,10170,3962,4481,3102,3543,3489,3254,10189,10192,10305,10382,10434,10437,3632,4453,10082,10085,10111,4469,3617,3393,3770,3213,3215,3188,4450,4393,3912,3184,10201,10296,10420,3185,3186,10286,4449,10148,10236,10347,3341,3248,10465,3280,3701,3637,10151,4462,10102,10459,4007,4460,4441,4444,3162,3163,4445,4476,10073,10076,3454,10426,10429,4479,3660,4477,10124,10127,10453,3630,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203])).
% 184.37/184.15 cnf(10498,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x104981),f775(f775(f83(a850),x104981),x104981)))),
% 184.37/184.15 inference(rename_variables,[],[3454])).
% 184.37/184.15 cnf(10502,plain,
% 184.37/184.15 (E(f775(f142(x105021),f37(x105022,f775(f775(f125(x105021),f775(f142(x105021),x105023)),f775(f775(f140(x105021),x105024),f115(x105021))),x105025,x105026,x105027,x105028,x105029,x1050210,x1050211,a25)),f775(f775(f140(x105021),x105024),x105023))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,4383,10273,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,10170,3962,4481,3102,3543,3489,3254,10189,10192,10305,10382,10434,10437,3632,4453,10082,10085,10111,4469,3617,3393,3770,3213,3215,3188,4450,4393,3912,3184,10201,10296,10420,3185,3186,10286,4449,10148,10236,10347,3341,3248,10465,3280,3701,3637,10151,4462,10102,10459,4007,4460,4441,4444,3162,3163,4445,4476,10073,10076,3454,10426,10429,4479,3660,4477,10124,10127,10453,3630,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246])).
% 184.37/184.15 cnf(10503,plain,
% 184.37/184.15 (E(f37(x105031,x105032,x105033,x105034,x105035,x105036,x105037,x105038,x105039,a25),x105032)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(10509,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a101),f775(a5,x105091)),f775(a5,f2(a850))))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,4383,10273,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,10170,3962,4481,3102,3543,3489,3254,10189,10192,10305,10382,10434,10437,10471,3632,4453,10082,10085,10111,4469,3617,3393,3770,3213,3215,3188,4450,4393,3912,3184,10201,10296,10420,3185,3186,10286,4449,10148,10236,10347,3341,3248,10465,3280,3701,3637,10151,4462,10102,10459,4007,4460,4441,4444,3162,3163,4445,4476,10073,10076,3454,10426,10429,4479,3660,4477,10124,10127,10453,3630,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252])).
% 184.37/184.15 cnf(10515,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,f775(a114,f775(f775(f82(a850),x105151),x105152)))),f775(a114,x105152)))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,4383,10273,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,10170,3962,4481,3102,3543,3489,3254,10189,10192,10305,10382,10434,10437,10471,3632,4453,10082,10085,10111,4469,3617,3393,3770,3213,3215,3188,4450,4393,3912,3184,10201,10296,10420,3185,3186,10286,4449,10148,10236,10347,3341,3248,10465,3280,3701,3637,10151,4462,10102,10459,4007,4460,4441,4444,3162,3163,4443,4445,4476,10073,10076,3454,10426,10429,4479,3660,4477,10124,10127,10453,3630,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255])).
% 184.37/184.15 cnf(10538,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x105381),x105381))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(10549,plain,
% 184.37/184.15 (~P1(f775(f775(f180(f857(x105491,f857(x105492,a844))),x105493),x105494))),
% 184.37/184.15 inference(rename_variables,[],[4480])).
% 184.37/184.15 cnf(10560,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x105601),f775(a114,x105601)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(10563,plain,
% 184.37/184.15 (~E(f775(a114,x105631),x105631)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10565,plain,
% 184.37/184.15 (P1(f775(f775(f233(a1),f775(f775(f3(a1),x105651),f80(a1))),x105651))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,4383,10273,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,10170,3962,3816,4481,3102,3543,3489,3254,10189,10192,10305,10382,10434,10437,10471,3632,4453,10082,10085,10111,4469,3617,3393,3770,3213,3215,3188,4450,4393,3912,3184,10201,10296,10420,3185,10538,3186,10286,10483,4449,10148,10236,10347,3341,4465,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,4007,4460,4441,4444,3162,3163,4443,4445,4476,10073,10076,3454,10426,10429,4479,4480,3660,4477,10124,10127,10453,3630,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528])).
% 184.37/184.15 cnf(10566,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x105661),x105661))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(10571,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x105711),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(10586,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x105861),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(10589,plain,
% 184.37/184.15 (~P1(f775(f775(f233(f857(x105891,a844)),x105892),f180(f857(x105891,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4474])).
% 184.37/184.15 cnf(10592,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x105921),x105921))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(10595,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x105951),x105951))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(10609,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x106091),f775(f775(f3(a850),x106091),x106092)))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,4383,10273,3028,3086,3051,3035,3119,3139,10310,4473,4399,10105,3083,10170,3962,3816,4481,3102,3543,3489,3254,10189,10192,10305,10382,10434,10437,10471,3632,4453,10082,10085,10111,10571,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3912,4474,3184,10201,10296,10420,3185,10538,10592,10595,3186,10286,10483,3187,4449,10148,10236,10347,10377,3341,4465,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,4007,4460,4441,4444,3162,3163,4443,4445,4476,10073,10076,3454,10426,10429,4479,4480,3660,4477,10124,10127,10453,3630,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699])).
% 184.37/184.15 cnf(10610,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x106101),x106101))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(10619,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x106191),x106192),f180(f857(x106191,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10628,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x106281),x106281))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(10631,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x106311),x106312),f180(f857(x106311,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10634,plain,
% 184.37/184.15 (P1(f775(f775(f279(a850),x106341),x106341))),
% 184.37/184.15 inference(rename_variables,[],[3187])).
% 184.37/184.15 cnf(10637,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x106371,a844)),f775(f303(x106372,x106371,x106373),f775(f305(x106372,x106371,x106373),x106374))),x106374))),
% 184.37/184.15 inference(rename_variables,[],[4067])).
% 184.37/184.15 cnf(10644,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x106441,a844)),f775(f158(x106441),f775(f126(x106441,x106442),x106443))),f775(f158(x106441),x106443)))),
% 184.37/184.15 inference(rename_variables,[],[3826])).
% 184.37/184.15 cnf(10647,plain,
% 184.37/184.15 (E(f775(f303(x106471,x106471,f7(x106471)),x106472),x106472)),
% 184.37/184.15 inference(rename_variables,[],[3244])).
% 184.37/184.15 cnf(10652,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),f2(a850)),x106521))),
% 184.37/184.15 inference(rename_variables,[],[3207])).
% 184.37/184.15 cnf(10655,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x106551),x106551))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(10658,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x106581),x106581))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(10665,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x106651),x106651))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(10676,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x106761),f775(a114,f775(f775(f82(a850),x106762),x106761))))),
% 184.37/184.15 inference(rename_variables,[],[3630])).
% 184.37/184.15 cnf(10679,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x106791),f775(f775(f83(a850),x106791),x106791)))),
% 184.37/184.15 inference(rename_variables,[],[3454])).
% 184.37/184.15 cnf(10689,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x106891),x106891))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(10692,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x106921),x106921))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(10695,plain,
% 184.37/184.15 (~E(f775(a114,x106951),x106951)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10700,plain,
% 184.37/184.15 (P1(f775(f775(f279(a850),x107001),x107001))),
% 184.37/184.15 inference(rename_variables,[],[3187])).
% 184.37/184.15 cnf(10703,plain,
% 184.37/184.15 (P1(f775(f775(f334(x107031),x107032),f239(f857(x107031,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3341])).
% 184.37/184.15 cnf(10708,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x107081),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(10710,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x107101,a844)),x107102),f44(f857(x107101,a844),f775(f301(x107101),x107102))))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,4383,10273,3028,3086,3051,3035,3244,3119,3139,10310,4473,4399,10105,3083,10170,3962,3816,4481,3102,3383,3543,3489,3254,10189,10192,10305,10382,10434,10437,10471,10560,3632,4453,10082,10085,10111,10571,10586,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3544,3912,4474,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,4465,10619,10631,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,3207,4007,4460,4441,4444,3162,3163,4443,4445,4476,10073,10076,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441])).
% 184.37/184.15 cnf(10719,plain,
% 184.37/184.15 (~E(f775(a114,x107191),f2(a850))),
% 184.37/184.15 inference(rename_variables,[],[4377])).
% 184.37/184.15 cnf(10726,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),f2(a850)),x107261))),
% 184.37/184.15 inference(rename_variables,[],[3207])).
% 184.37/184.15 cnf(10733,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x107331),x107331))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(10740,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x107401),x107402),f180(f857(x107401,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10742,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x107421,a844)),f45(f857(x107421,a844),f775(f301(x107421),x107422))),x107422))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,4383,10273,4377,3028,3086,3051,3035,3244,3119,3139,10310,4473,4399,10105,3083,10170,3962,3816,4481,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,3632,4453,10082,10085,10111,10571,10586,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3544,3912,4474,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,4465,10619,10631,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,3207,10652,4007,4460,3709,4441,4444,3162,3163,4443,4445,4476,10073,10076,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720])).
% 184.37/184.15 cnf(10748,plain,
% 184.37/184.15 (P1(f775(f775(f334(x107481),x107482),f239(f857(x107481,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3341])).
% 184.37/184.15 cnf(10751,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x107511),f851(x107511))),f775(f775(f241(f851(x107511),f851(x107511)),x107512),f115(x107511))),f135(x107511,x107513)))),
% 184.37/184.15 inference(rename_variables,[],[4481])).
% 184.37/184.15 cnf(10757,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(x107571,x107571)),x107572),f260(x107571,f180(f857(x107571,a844)))))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,4383,10273,4377,3028,3086,3051,3035,3244,3119,3139,10310,4473,4399,10105,3083,10170,3962,3816,4481,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,3632,4453,10082,10085,10111,10571,10586,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3544,3912,4474,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,4465,10619,10631,10740,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,3207,10652,4007,4460,3709,4441,4444,3162,3163,4443,4445,4476,10073,10076,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867])).
% 184.37/184.15 cnf(10758,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x107581),x107582),f180(f857(x107581,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10760,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x107601),x107602),f775(f305(x107601,x107603,x107604),f180(f857(x107603,a844)))))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,4383,10273,4377,3028,3086,3051,3035,3244,3119,3139,10310,4473,4399,10105,3083,10170,3962,3816,4481,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,3632,4453,10082,10085,10111,10571,10586,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3544,3912,4474,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,4465,10619,10631,10740,10758,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,3207,10652,4007,4460,3709,4441,4444,3162,3163,4443,4445,4476,10073,10076,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899])).
% 184.37/184.15 cnf(10761,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x107611),x107612),f180(f857(x107611,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10764,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x107641,a844)),x107642),f775(f775(f302(x107641),x107643),x107642)))),
% 184.37/184.15 inference(rename_variables,[],[3625])).
% 184.37/184.15 cnf(10767,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x107671),x107671))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(10770,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x107701,a844)),x107702),f775(f775(f302(x107701),x107703),x107702)))),
% 184.37/184.15 inference(rename_variables,[],[3625])).
% 184.37/184.15 cnf(10781,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x107811,a844)),x107812),f775(f775(f302(x107811),x107813),x107812)))),
% 184.37/184.15 inference(rename_variables,[],[3625])).
% 184.37/184.15 cnf(10786,plain,
% 184.37/184.15 (~P1(f775(f64(x107861,x107862,f180(f857(x107861,a844))),x107863))),
% 184.37/184.15 inference(rename_variables,[],[4476])).
% 184.37/184.15 cnf(10790,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(a850,a850)),f775(f775(f241(a850,a850),f775(a114,x107901)),x107901)),f300(a850,a323)))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,4383,10273,4377,3028,3086,3051,3035,3244,3119,3139,10310,4473,4399,10105,3083,10170,3962,3816,4481,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,3632,4453,10082,10085,10111,10571,10586,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3544,3912,4474,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,10748,4465,10619,10631,10740,10758,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320])).
% 184.37/184.15 cnf(10799,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x107991),f775(a114,x107991)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(10809,plain,
% 184.37/184.15 (~E(f775(f313(x108091,x108092),x108093),f775(f304(x108092,x108091),x108094))),
% 184.37/184.15 inference(rename_variables,[],[4438])).
% 184.37/184.15 cnf(10812,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x108121),x108122),f180(f857(x108121,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10815,plain,
% 184.37/184.15 (P1(f775(f775(f334(f856(x108151,x108151)),f775(f775(f241(x108151,x108151),x108152),x108152)),f300(x108151,x108153)))),
% 184.37/184.15 inference(rename_variables,[],[3816])).
% 184.37/184.15 cnf(10818,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x108181,a844)),f775(f158(x108181),f151(x108181,x108182,x108183))),f775(f158(x108181),x108183)))),
% 184.37/184.15 inference(rename_variables,[],[3874])).
% 184.37/184.15 cnf(10821,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x108211,a844)),x108212),f239(f857(x108211,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3561])).
% 184.37/184.15 cnf(10828,plain,
% 184.37/184.15 (~E(f775(a114,x108281),x108281)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(10844,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x108441,a844)),f180(f857(x108441,a844))),x108442))),
% 184.37/184.15 inference(rename_variables,[],[3629])).
% 184.37/184.15 cnf(10855,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x108551),f851(x108551))),f775(f775(f241(f851(x108551),f851(x108551)),x108552),f115(x108551))),f137(x108551,x108553)))),
% 184.37/184.15 inference(rename_variables,[],[4482])).
% 184.37/184.15 cnf(10863,plain,
% 184.37/184.15 (P1(f775(f775(f334(f856(f851(x108631),f851(x108631))),f775(f775(f241(f851(x108631),f851(x108631)),f115(x108631)),f115(x108631))),f775(f775(f281(f851(x108631),f851(x108631),f851(x108631)),f147(x108631,x108632)),f300(f851(x108631),f147(x108631,x108632)))))),
% 184.37/184.15 inference(scs_inference,[],[4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,4377,3640,3028,4438,3086,3051,3035,3244,3119,3139,10310,4473,3815,4399,10105,3083,10170,3962,3816,10815,4481,10751,4482,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,4474,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3629,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547])).
% 184.37/184.15 cnf(10873,plain,
% 184.37/184.15 (P29(x108731,x108731,f7(x108731),x108732)),
% 184.37/184.15 inference(rename_variables,[],[3426])).
% 184.37/184.15 cnf(10878,plain,
% 184.37/184.15 (~E(f775(f303(x108781,f857(x108781,a844),x108782),x108783),f775(f301(x108781),x108783))),
% 184.37/184.15 inference(rename_variables,[],[4463])).
% 184.37/184.15 cnf(10883,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x108831,a844)),x108832),f239(f857(x108831,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3561])).
% 184.37/184.15 cnf(10890,plain,
% 184.37/184.15 (P36(x108901,f775(f775(f280(a850,x108901),a237),x108902))),
% 184.37/184.15 inference(rename_variables,[],[3290])).
% 184.37/184.15 cnf(10897,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x108971),x108972),f180(f857(x108971,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10900,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x109001)),x109001))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(10902,plain,
% 184.37/184.15 (~E(f775(f775(f8(x109021,a850),f775(f3(a850),f2(a850))),x109022),f775(a114,x109023))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,3244,3119,3139,10310,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,4481,10751,4482,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,4474,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3629,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712])).
% 184.37/184.15 cnf(10907,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x109071),x109072),f180(f857(x109071,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10915,plain,
% 184.37/184.15 (~P1(f775(f775(f334(a850),f775(a114,f775(f132(a850,a850,f82(a850),f2(a850)),x109151))),f775(f158(a850),x109151)))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,3244,3119,3139,10310,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,4481,10751,4482,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,4474,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3629,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750])).
% 184.37/184.15 cnf(10916,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x109161)),x109161))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(10919,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x109191),x109192),f180(f857(x109191,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10927,plain,
% 184.37/184.15 (E(f775(x109271,f702(f775(x109271,x109272),f775(f227(x109273),x109272),x109271,x109274,x109273)),f775(x109271,x109272))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,3244,3119,3139,10310,3289,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,4481,10751,4482,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,4474,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3629,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812])).
% 184.37/184.15 cnf(10934,plain,
% 184.37/184.15 (P1(f775(f775(f334(f856(x109341,x109341)),f775(f775(f241(x109341,x109341),x109342),x109342)),f300(x109341,x109343)))),
% 184.37/184.15 inference(rename_variables,[],[3816])).
% 184.37/184.15 cnf(10941,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x109411),f851(x109411))),f775(f775(f241(f851(x109411),f851(x109411)),x109412),f115(x109411))),f135(x109411,x109413)))),
% 184.37/184.15 inference(rename_variables,[],[4481])).
% 184.37/184.15 cnf(10944,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x109441),f851(x109441))),f775(f775(f241(f851(x109441),f851(x109441)),x109442),f115(x109441))),f137(x109441,x109443)))),
% 184.37/184.15 inference(rename_variables,[],[4482])).
% 184.37/184.15 cnf(10947,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x109471),f851(x109471))),f775(f775(f241(f851(x109471),f851(x109471)),x109472),f115(x109471))),f146(x109471,x109473)))),
% 184.37/184.15 inference(rename_variables,[],[4483])).
% 184.37/184.15 cnf(10949,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x109491),f851(x109491))),f775(f775(f241(f851(x109491),f851(x109491)),f115(x109491)),x109492)),f775(f278(f851(x109491),f851(x109491)),f135(x109491,x109493))))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,3244,3119,3139,10310,3289,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,4481,10751,10941,4482,10855,4483,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,4474,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3629,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941])).
% 184.37/184.15 cnf(10952,plain,
% 184.37/184.15 (~P1(f775(f775(f233(f857(x109521,a844)),x109522),f180(f857(x109521,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4474])).
% 184.37/184.15 cnf(10954,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x109541),x109542),f775(f303(x109543,x109541,x109544),f180(f857(x109543,a844)))))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,3244,3119,3139,10310,3289,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,4481,10751,10941,4482,10855,4483,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,4474,10589,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3629,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961])).
% 184.37/184.15 cnf(10955,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x109551),x109552),f180(f857(x109551,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10959,plain,
% 184.37/184.15 (~P39(f36(f775(a27,x109591),x109592),x109593,f2(a850),x109594)),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,3244,3119,3139,10310,3289,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,4481,10751,10941,4482,10855,4483,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,4474,10589,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3629,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989])).
% 184.37/184.15 cnf(10965,plain,
% 184.37/184.15 (~P39(f36(x109651,f36(x109652,f36(f36(f775(a27,x109653),x109654),x109655))),x109656,f2(a850),x109657)),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,3244,3119,3139,10310,3289,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,4481,10751,10941,4482,10855,4483,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,4474,10589,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3629,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992])).
% 184.37/184.15 cnf(10967,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x109671,a844)),x109672),f775(f775(f103(f857(x109671,a844)),x109673),f239(f857(x109671,a844)))))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,3244,3119,3139,10310,3289,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,4481,10751,10941,4482,10855,4483,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,10883,4474,10589,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3629,3454,10426,10429,10498,10679,4479,4480,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995])).
% 184.37/184.15 cnf(10968,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x109681,a844)),x109682),f239(f857(x109681,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3561])).
% 184.37/184.15 cnf(10971,plain,
% 184.37/184.15 (~P1(f775(f775(f180(f857(x109711,f857(x109712,a844))),x109713),x109714))),
% 184.37/184.15 inference(rename_variables,[],[4480])).
% 184.37/184.15 cnf(10978,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x109781),x109781))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(10983,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x109831),x109832),f180(f857(x109831,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10986,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x109861,a844)),x109862),x109862))),
% 184.37/184.15 inference(rename_variables,[],[3483])).
% 184.37/184.15 cnf(10989,plain,
% 184.37/184.15 (E(f319(x109891,x109892,x109893,f775(f775(f10(f858(x109891,x109893),x109892,x109891),x109894),f304(x109891,x109893)),f775(f775(f10(f858(x109891,x109893),x109892,x109893),x109894),f313(x109893,x109891))),x109894)),
% 184.37/184.15 inference(rename_variables,[],[4047])).
% 184.37/184.15 cnf(10995,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x109951),x109952),f180(f857(x109951,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(10998,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x109981,a844)),f180(f857(x109981,a844))),x109982))),
% 184.37/184.15 inference(rename_variables,[],[3629])).
% 184.37/184.15 cnf(11001,plain,
% 184.37/184.15 (P1(f775(f775(f334(f856(x110011,x110011)),f775(f775(f241(x110011,x110011),x110012),x110012)),f300(x110011,x110013)))),
% 184.37/184.15 inference(rename_variables,[],[3816])).
% 184.37/184.15 cnf(11003,plain,
% 184.37/184.15 (~E(f775(f775(f104(f857(f856(f851(x110031),f851(x110031)),a844)),f775(f278(f851(x110031),f851(x110031)),f147(x110031,x110032))),f300(f851(x110031),f147(x110031,x110032))),f180(f857(f856(f851(x110031),f851(x110031)),a844)))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,10934,4481,10751,10941,4482,10855,4483,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,10883,4474,10589,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,10665,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3483,3629,10844,3454,10426,10429,10498,10679,4479,4480,10549,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170])).
% 184.37/184.15 cnf(11008,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x110081),f851(x110081))),f775(f775(f241(f851(x110081),f851(x110081)),x110082),f115(x110081))),f146(x110081,x110083)))),
% 184.37/184.15 inference(rename_variables,[],[4483])).
% 184.37/184.15 cnf(11011,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x110111),f851(x110111))),f775(f775(f241(f851(x110111),f851(x110111)),f115(x110111)),x110112)),f135(x110111,x110113)))),
% 184.37/184.15 inference(rename_variables,[],[4484])).
% 184.37/184.15 cnf(11016,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f857(x110161,a844),f857(x110161,a844))),f775(f775(f241(f857(x110161,a844),f857(x110161,a844)),x110162),f180(f857(x110161,a844)))),f299(x110161)))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,10934,4481,10751,10941,4482,10855,4483,10947,4484,4485,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,10883,4474,10589,10952,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,10665,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3483,3629,10844,3454,10426,10429,10498,10679,4479,4480,10549,4067,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293])).
% 184.37/184.15 cnf(11019,plain,
% 184.37/184.15 (P1(f775(f775(f334(x110191),x110192),f239(f857(x110191,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3341])).
% 184.37/184.15 cnf(11024,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x110241,a844)),f180(f857(x110241,a844))),x110242))),
% 184.37/184.15 inference(rename_variables,[],[3629])).
% 184.37/184.15 cnf(11027,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x110271),x110272),f180(f857(x110271,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11030,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x110301,a844)),x110302),f239(f857(x110301,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3561])).
% 184.37/184.15 cnf(11034,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x110341,a844)),f775(f277(x110342,x110341,x110343),f180(f857(x110342,a844)))),x110344))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,4463,3290,3083,10170,3962,3816,10815,10934,4481,10751,10941,4482,10855,4483,10947,4484,4485,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,10665,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,4480,10549,4067,3967,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395])).
% 184.37/184.15 cnf(11035,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x110351,a844)),f180(f857(x110351,a844))),x110352))),
% 184.37/184.15 inference(rename_variables,[],[3629])).
% 184.37/184.15 cnf(11055,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x110551),f851(x110551))),f775(f775(f241(f851(x110551),f851(x110551)),x110552),f115(x110551))),f135(x110551,x110553)))),
% 184.37/184.15 inference(rename_variables,[],[4481])).
% 184.37/184.15 cnf(11058,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x110581),f851(x110581))),f775(f775(f241(f851(x110581),f851(x110581)),x110582),f115(x110581))),f137(x110581,x110583)))),
% 184.37/184.15 inference(rename_variables,[],[4482])).
% 184.37/184.15 cnf(11061,plain,
% 184.37/184.15 (~E(f775(f775(f140(x110611),x110612),x110613),x110613)),
% 184.37/184.15 inference(rename_variables,[],[4399])).
% 184.37/184.15 cnf(11064,plain,
% 184.37/184.15 (~E(f775(a114,x110641),x110641)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11067,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x110671),x110672),f180(f857(x110671,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11072,plain,
% 184.37/184.15 (P1(f775(f775(f334(f856(f851(x110721),f851(x110721))),f775(f775(f241(f851(x110721),f851(x110721)),x110722),x110722)),f147(x110721,f300(x110721,x110723))))),
% 184.37/184.15 inference(rename_variables,[],[3956])).
% 184.37/184.15 cnf(11075,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x110751),f851(x110751))),f775(f775(f241(f851(x110751),f851(x110751)),x110752),f115(x110751))),f135(x110751,x110753)))),
% 184.37/184.15 inference(rename_variables,[],[4481])).
% 184.37/184.15 cnf(11079,plain,
% 184.37/184.15 (E(f775(f775(f140(x110791),f718(f300(x110791,x110792),f775(f775(f140(x110791),x110793),x110794),x110794,x110793,x110791)),f719(f300(x110791,x110792),f775(f775(f140(x110791),x110793),x110794),x110794,x110793,x110791)),f775(f775(f140(x110791),x110793),x110794))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,4463,3290,3083,10170,3962,3816,10815,10934,4481,10751,10941,11055,4482,10855,10944,4483,10947,4484,11011,4485,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3956,11072,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,10665,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,4480,10549,4067,3967,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579])).
% 184.37/184.15 cnf(11082,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x110821),x110822),f171(x110823,x110821,f172(x110823,x110821,x110824,f180(f857(x110823,a844))))))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,4383,10273,10368,4377,3640,3028,4438,3086,3051,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,4463,3290,3083,10170,3962,3816,10815,10934,4481,10751,10941,11055,4482,10855,10944,4483,10947,4484,11011,4485,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3956,11072,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,4449,10148,10236,10347,10377,10610,10658,10665,3341,10440,10703,10748,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,4480,10549,4067,3967,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594])).
% 184.37/184.15 cnf(11083,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x110831),x110832),f180(f857(x110831,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11086,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x110861),x110862),f180(f857(x110861,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11089,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x110891),x110892),f180(f857(x110891,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11092,plain,
% 184.37/184.15 (P1(f775(f775(f334(x110921),x110922),f239(f857(x110921,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3341])).
% 184.37/184.15 cnf(11103,plain,
% 184.37/184.15 (~E(f775(f313(x111031,x111032),x111033),f775(f304(x111032,x111031),x111034))),
% 184.37/184.15 inference(rename_variables,[],[4438])).
% 184.37/184.15 cnf(11106,plain,
% 184.37/184.15 (~E(f775(f313(x111061,x111062),x111063),f775(f304(x111062,x111061),x111064))),
% 184.37/184.15 inference(rename_variables,[],[4438])).
% 184.37/184.15 cnf(11108,plain,
% 184.37/184.15 (E(f775(f775(f241(a850,a850),f705(f300(a850,a323),a323,a850,f775(f775(f241(a850,a850),x111081),f775(a114,x111081)),a850,a850)),f708(f300(a850,a323),a323,a850,f775(f775(f241(a850,a850),x111081),f775(a114,x111081)),a850,a850)),f775(f775(f241(a850,a850),x111081),f775(a114,x111081)))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,4383,10273,10368,4377,3640,3028,4438,10809,11103,3086,3051,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,4463,3290,3083,10170,3962,3816,10815,10934,4481,10751,10941,11055,4482,10855,10944,4483,10947,4484,11011,4485,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3956,11072,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,10700,4449,10148,10236,10347,10377,10610,10658,10665,3341,10440,10703,10748,11019,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,4480,10549,4067,3967,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759])).
% 184.37/184.15 cnf(11111,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x111111),f851(x111111))),f775(f775(f241(f851(x111111),f851(x111111)),x111112),f115(x111111))),f135(x111111,x111113)))),
% 184.37/184.15 inference(rename_variables,[],[4481])).
% 184.37/184.15 cnf(11114,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x111141),f851(x111141))),f775(f775(f241(f851(x111141),f851(x111141)),x111142),f115(x111141))),f137(x111141,x111143)))),
% 184.37/184.15 inference(rename_variables,[],[4482])).
% 184.37/184.15 cnf(11117,plain,
% 184.37/184.15 (~P1(f775(f775(f334(f856(f851(x111171),f851(x111171))),f775(f775(f241(f851(x111171),f851(x111171)),x111172),f115(x111171))),f135(x111171,x111173)))),
% 184.37/184.15 inference(rename_variables,[],[4481])).
% 184.37/184.15 cnf(11120,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x111201),x111202),f180(f857(x111201,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11123,plain,
% 184.37/184.15 (~P1(f775(f775(f180(f857(x111231,f857(x111232,a844))),x111233),x111234))),
% 184.37/184.15 inference(rename_variables,[],[4480])).
% 184.37/184.15 cnf(11126,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x111261),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(11128,plain,
% 184.37/184.15 (P1(f775(f775(f334(f856(x111281,x111282)),f775(f775(f241(x111281,x111282),f775(x111283,x111284)),f775(x111285,x111284))),f775(f303(f856(x111286,x111286),f856(x111281,x111282),f252(x111286,x111281,x111286,x111282,x111283,x111285)),f300(x111286,x111287))))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,4383,10273,10368,4377,3640,3028,4438,10809,11103,3086,3051,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,4463,3290,3083,10170,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3956,11072,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,10700,4449,10148,10236,10347,10377,10610,10658,10665,3341,10440,10703,10748,11019,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,4480,10549,10971,4067,3967,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891])).
% 184.37/184.15 cnf(11131,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x111311),x111312),f180(f857(x111311,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11134,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x111341),x111342),f180(f857(x111341,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11137,plain,
% 184.37/184.15 (P1(f775(f775(f334(x111371),f775(x111372,x111373)),f775(f303(x111374,x111371,x111372),f239(f857(x111374,a844)))))),
% 184.37/184.15 inference(rename_variables,[],[3787])).
% 184.37/184.15 cnf(11139,plain,
% 184.37/184.15 (E(x111391,f37(x111392,x111391,x111393,x111394,x111395,x111396,x111397,x111398,x111399,a25))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,4383,10273,10368,4377,3640,3028,4438,10809,11103,3086,3051,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,4463,3290,3083,10170,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,4469,3617,3393,3770,3213,3215,3188,4450,4393,3956,11072,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,3187,10634,10700,4449,10148,10236,10347,10377,10610,10658,10665,3341,10440,10703,10748,11019,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,3248,10465,3280,3701,3637,10151,4462,10102,10459,10462,10900,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,4480,10549,10971,4067,3967,3660,4477,10124,10127,10453,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2])).
% 184.37/184.15 cnf(11144,plain,
% 184.37/184.15 (E(f37(x111441,x111442,x111443,x111444,x111445,x111446,x111447,x111448,x111449,a25),x111442)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11147,plain,
% 184.37/184.15 (~E(f775(a114,x111471),x111471)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11154,plain,
% 184.37/184.15 (~E(f775(a114,x111541),x111541)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11159,plain,
% 184.37/184.15 (E(f37(x111591,x111592,x111593,x111594,x111595,x111596,x111597,x111598,x111599,a25),x111592)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11160,plain,
% 184.37/184.15 (E(f38(x111601,x111602,x111603,x111604,x111605,x111606,x111607,x111608,x111609,a25),x111602)),
% 184.37/184.15 inference(rename_variables,[],[4340])).
% 184.37/184.15 cnf(11163,plain,
% 184.37/184.15 (E(f37(x111631,x111632,x111633,x111634,x111635,x111636,x111637,x111638,x111639,a25),x111632)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11164,plain,
% 184.37/184.15 (E(f38(x111641,x111642,x111643,x111644,x111645,x111646,x111647,x111648,x111649,a25),x111642)),
% 184.37/184.15 inference(rename_variables,[],[4340])).
% 184.37/184.15 cnf(11170,plain,
% 184.37/184.15 (~E(f775(a114,x111701),x111701)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11175,plain,
% 184.37/184.15 (~E(f775(f775(f82(a1),x111751),x111751),a99)),
% 184.37/184.15 inference(rename_variables,[],[4396])).
% 184.37/184.15 cnf(11184,plain,
% 184.37/184.15 (E(f775(f775(f3(a850),f2(a850)),x111841),f2(a850))),
% 184.37/184.15 inference(rename_variables,[],[3105])).
% 184.37/184.15 cnf(11187,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x111871),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(11192,plain,
% 184.37/184.15 (E(f775(f775(f82(a1),f775(f775(f83(a1),x111921),f775(f775(f43(a1),x111922),x111921))),f52(a1,x111922,x111921)),x111922)),
% 184.37/184.15 inference(rename_variables,[],[3733])).
% 184.37/184.15 cnf(11204,plain,
% 184.37/184.15 (E(f37(x112041,x112042,x112043,x112044,x112045,x112046,x112047,x112048,x112049,a25),x112042)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11207,plain,
% 184.37/184.15 (E(f37(x112071,x112072,x112073,x112074,x112075,x112076,x112077,x112078,x112079,a25),x112072)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11210,plain,
% 184.37/184.15 (E(f37(x112101,x112102,x112103,x112104,x112105,x112106,x112107,x112108,x112109,a25),x112102)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11213,plain,
% 184.37/184.15 (E(f37(x112131,x112132,x112133,x112134,x112135,x112136,x112137,x112138,x112139,a25),x112132)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11218,plain,
% 184.37/184.15 (~E(f775(a114,x112181),x112181)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11221,plain,
% 184.37/184.15 (~E(f775(a114,x112211),x112211)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11225,plain,
% 184.37/184.15 (E(f37(x112251,x112252,x112253,x112254,x112255,x112256,x112257,x112258,x112259,a25),x112252)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11248,plain,
% 184.37/184.15 (P1(f775(f775(f334(x112481),x112482),f239(f857(x112481,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3341])).
% 184.37/184.15 cnf(11256,plain,
% 184.37/184.15 (E(f37(x112561,x112562,x112563,x112564,x112565,x112566,x112567,x112568,x112569,a25),x112562)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11261,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x112611),x112611))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(11268,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x112681),x112681))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(11269,plain,
% 184.37/184.15 (E(f37(x112691,x112692,x112693,x112694,x112695,x112696,x112697,x112698,x112699,a25),x112692)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11282,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x112821),x112822)),x112822))),
% 184.37/184.15 inference(rename_variables,[],[4477])).
% 184.37/184.15 cnf(11285,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a1),f775(f102(a1),x112851)),f2(a1)))),
% 184.37/184.15 inference(rename_variables,[],[4469])).
% 184.37/184.15 cnf(11296,plain,
% 184.37/184.15 (E(f37(x112961,x112962,x112963,x112964,x112965,x112966,x112967,x112968,x112969,a25),x112962)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11299,plain,
% 184.37/184.15 (E(f37(x112991,x112992,x112993,x112994,x112995,x112996,x112997,x112998,x112999,a25),x112992)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11310,plain,
% 184.37/184.15 (E(f37(x113101,x113102,x113103,x113104,x113105,x113106,x113107,x113108,x113109,a25),x113102)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11315,plain,
% 184.37/184.15 (E(f37(x113151,x113152,x113153,x113154,x113155,x113156,x113157,x113158,x113159,a25),x113152)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11318,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a1),f775(f102(a1),x113181)),f2(a1)))),
% 184.37/184.15 inference(rename_variables,[],[4469])).
% 184.37/184.15 cnf(11321,plain,
% 184.37/184.15 (E(f37(x113211,x113212,x113213,x113214,x113215,x113216,x113217,x113218,x113219,a25),x113212)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11324,plain,
% 184.37/184.15 (~E(f775(a114,x113241),x113241)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11327,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x113271),x113271))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11331,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),f2(a1)),a85))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2850,2853,2855,2859,2861,2862,2874,2875,2885,2949,2960,2963,2977,4361,3640,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,4463,3290,3082,3083,10170,10468,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,4396,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,11126,11187,4469,11285,11318,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,10478,11261,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,10692,3187,10634,10700,4449,10148,10236,10347,10377,10610,10658,10665,3341,10440,10703,10748,11019,11092,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,3248,10465,3285,3280,3701,3637,10151,4462,10102,10459,10462,10900,10916,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,4480,10549,10971,4067,3967,3660,4477,10124,10127,10453,10456,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336])).
% 184.37/184.15 cnf(11336,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x113361),x113361))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11356,plain,
% 184.37/184.15 (E(f52(a850,x113561,x113561),f2(a850))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2850,2853,2855,2859,2861,2862,2874,2875,2885,2933,2949,2960,2962,2963,2977,2979,4361,3640,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,4463,3290,3082,3083,10170,10468,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,4396,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,4453,10082,10085,10111,10571,10586,10708,11126,11187,4469,11285,11318,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,10478,11261,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,10692,3187,10634,10700,4449,10148,10236,10347,10377,10610,10658,10665,10978,3341,10440,10703,10748,11019,11092,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,3248,10465,3285,3280,3701,3637,10151,4462,10102,10459,10462,10900,10916,3207,10652,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,4476,10073,10076,10328,3787,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,4480,10549,10971,4067,3967,3660,4477,10124,10127,10453,10456,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402])).
% 184.37/184.15 cnf(11359,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a1),f775(f102(a1),x113591)),f2(a1)))),
% 184.37/184.15 inference(rename_variables,[],[4469])).
% 184.37/184.15 cnf(11372,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x113721),x113721))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11375,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x113751)),x113751))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(11376,plain,
% 184.37/184.15 (~E(f775(a114,x113761),x113761)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11386,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x113861),x113862)),x113861))),
% 184.37/184.15 inference(rename_variables,[],[4478])).
% 184.37/184.15 cnf(11389,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a1),f775(f102(a1),x113891)),f2(a1)))),
% 184.37/184.15 inference(rename_variables,[],[4469])).
% 184.37/184.15 cnf(11392,plain,
% 184.37/184.15 (~E(f775(a114,x113921),x113921)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11405,plain,
% 184.37/184.15 (P1(f775(f775(f334(x114051),x114052),f775(f775(f302(x114051),x114052),x114053)))),
% 184.37/184.15 inference(rename_variables,[],[3498])).
% 184.37/184.15 cnf(11406,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a1),f2(a1)),f775(f81(a1),f775(f102(a1),f775(a114,x114061)))))),
% 184.37/184.15 inference(rename_variables,[],[4479])).
% 184.37/184.15 cnf(11409,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),f775(f775(f3(a850),x114091),x114092)),f775(a114,x114091)))),
% 184.37/184.15 inference(rename_variables,[],[3632])).
% 184.37/184.15 cnf(11412,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),f52(a850,x114121,x114122)),x114121))),
% 184.37/184.15 inference(rename_variables,[],[3637])).
% 184.37/184.15 cnf(11418,plain,
% 184.37/184.15 (E(f775(f775(f125(x114181),x114182),f115(x114181)),x114182)),
% 184.37/184.15 inference(rename_variables,[],[3120])).
% 184.37/184.15 cnf(11421,plain,
% 184.37/184.15 (E(f37(x114211,x114212,x114213,x114214,x114215,x114216,x114217,x114218,x114219,a25),x114212)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11424,plain,
% 184.37/184.15 (E(f37(x114241,x114242,x114243,x114244,x114245,x114246,x114247,x114248,x114249,a25),x114242)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11428,plain,
% 184.37/184.15 (E(f37(x114281,x114282,x114283,x114284,x114285,x114286,x114287,x114288,x114289,a25),x114282)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11431,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x114311)),x114311))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(11432,plain,
% 184.37/184.15 (E(f37(x114321,x114322,x114323,x114324,x114325,x114326,x114327,x114328,x114329,a25),x114322)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11441,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x114411),x114411))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11442,plain,
% 184.37/184.15 (E(f37(x114421,x114422,x114423,x114424,x114425,x114426,x114427,x114428,x114429,a25),x114422)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11445,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),f52(a850,x114451,x114452)),x114451))),
% 184.37/184.15 inference(rename_variables,[],[3637])).
% 184.37/184.15 cnf(11446,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),f2(a850)),x114461))),
% 184.37/184.15 inference(rename_variables,[],[3207])).
% 184.37/184.15 cnf(11463,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x114631),x114631))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11466,plain,
% 184.37/184.15 (E(f37(x114661,x114662,x114663,x114664,x114665,x114666,x114667,x114668,x114669,a25),x114662)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11469,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x114691),x114691))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11472,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x114721),x114721))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11475,plain,
% 184.37/184.15 (P1(f775(f775(f334(x114751),f775(x114752,x114753)),f775(f303(x114754,x114751,x114752),f239(f857(x114754,a844)))))),
% 184.37/184.15 inference(rename_variables,[],[3787])).
% 184.37/184.15 cnf(11476,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x114761),x114762)),x114762))),
% 184.37/184.15 inference(rename_variables,[],[4477])).
% 184.37/184.15 cnf(11479,plain,
% 184.37/184.15 (P1(f775(f775(f334(x114791),f775(x114792,x114793)),f775(f303(x114794,x114791,x114792),f239(f857(x114794,a844)))))),
% 184.37/184.15 inference(rename_variables,[],[3787])).
% 184.37/184.15 cnf(11480,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x114801)),x114801))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(11485,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x114851),x114852)),x114851))),
% 184.37/184.15 inference(rename_variables,[],[4478])).
% 184.37/184.15 cnf(11488,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x114881),x114881))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11491,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x114911),x114911))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(11498,plain,
% 184.37/184.15 (P1(f775(f775(f334(x114981),x114982),f239(f857(x114981,a844))))),
% 184.37/184.15 inference(rename_variables,[],[3341])).
% 184.37/184.15 cnf(11499,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x114991)),x114991))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(11502,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x115021),x115021))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(11515,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x115151),x115152),f180(f857(x115151,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11518,plain,
% 184.37/184.15 (E(f775(f775(f18(x115181,x115182),x115183),x115184),x115183)),
% 184.37/184.15 inference(rename_variables,[],[3176])).
% 184.37/184.15 cnf(11521,plain,
% 184.37/184.15 (E(f775(f775(f18(x115211,x115212),x115213),x115214),x115213)),
% 184.37/184.15 inference(rename_variables,[],[3176])).
% 184.37/184.15 cnf(11532,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),f775(f775(f43(a850),x115321),x115322)),x115321))),
% 184.37/184.15 inference(rename_variables,[],[3604])).
% 184.37/184.15 cnf(11533,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),f2(a850)),f775(a114,x115331)))),
% 184.37/184.15 inference(rename_variables,[],[3268])).
% 184.37/184.15 cnf(11535,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),f775(f775(f43(a850),x115351),f37(x115352,f2(a850),x115353,x115354,x115355,x115356,x115357,x115358,x115359,a25))),f2(a850)))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2850,2853,2855,2857,2859,2861,2862,2874,2875,2885,2933,2944,2949,2960,2962,2963,2977,2979,4361,3120,11418,3640,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,11409,3268,4453,10082,10085,10111,10571,10586,10708,11126,11187,4469,11285,11318,11359,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,10692,11327,3187,10634,10700,3262,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,3248,10465,3285,3280,3701,3637,10151,11412,4462,10102,10459,10462,10900,10916,11375,11431,11480,3207,10652,10726,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,3787,11137,11475,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931])).
% 184.37/184.15 cnf(11536,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x115361),x115361))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(11537,plain,
% 184.37/184.15 (E(f37(x115371,x115372,x115373,x115374,x115375,x115376,x115377,x115378,x115379,a25),x115372)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11540,plain,
% 184.37/184.15 (P1(f775(f775(f334(x115401),f775(x115402,x115403)),f775(f303(x115404,x115401,x115402),f239(f857(x115404,a844)))))),
% 184.37/184.15 inference(rename_variables,[],[3787])).
% 184.37/184.15 cnf(11543,plain,
% 184.37/184.15 (P1(f775(f63(x115431),f169(x115431,x115432,f166(x115431,x115432,x115433))))),
% 184.37/184.15 inference(rename_variables,[],[3730])).
% 184.37/184.15 cnf(11546,plain,
% 184.37/184.15 (P1(f775(f63(x115461),f169(x115461,x115462,f166(x115461,x115462,x115463))))),
% 184.37/184.15 inference(rename_variables,[],[3730])).
% 184.37/184.15 cnf(11549,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),f775(f81(a1),f775(f102(a1),x115491))),f775(f102(a1),x115492)))),
% 184.37/184.15 inference(rename_variables,[],[3661])).
% 184.37/184.15 cnf(11552,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x115521),x115522),f180(f857(x115521,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11564,plain,
% 184.37/184.15 (~P1(f775(f775(f334(a850),f2(a850)),f775(f296(a850),x115641)))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2850,2853,2855,2857,2859,2861,2862,2864,2874,2875,2885,2933,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3640,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,11409,3268,4453,10082,10085,10111,10571,10586,10708,11126,11187,4469,11285,11318,11359,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,10692,11327,3187,10634,10700,3262,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,3248,10465,3285,3280,3701,3637,10151,11412,4462,10102,10459,10462,10900,10916,11375,11431,11480,3207,10652,10726,3661,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,3936,3787,11137,11475,11479,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019])).
% 184.37/184.15 cnf(11566,plain,
% 184.37/184.15 (~P1(f775(f775(f334(a850),x115661),f775(f257(a850),f2(a850))))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2850,2853,2855,2857,2859,2861,2862,2864,2874,2875,2885,2933,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3640,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,3632,11409,3268,4453,10082,10085,10111,10571,10586,10708,11126,11187,4469,11285,11318,11359,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,10692,11327,3187,10634,10700,3262,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,3248,10465,3285,3280,3701,3637,10151,11412,4462,10102,10459,10462,10900,10916,11375,11431,11480,3207,10652,10726,3661,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,3936,3787,11137,11475,11479,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020])).
% 184.37/184.15 cnf(11573,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x115731),x115731))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(11574,plain,
% 184.37/184.15 (E(f37(x115741,x115742,x115743,x115744,x115745,x115746,x115747,x115748,x115749,a25),x115742)),
% 184.37/184.15 inference(rename_variables,[],[4339])).
% 184.37/184.15 cnf(11577,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x115771),f775(a114,x115771)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(11580,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x115801),x115801))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11591,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x115911),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(11594,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x115941),x115941))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11599,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x115991),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(11608,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),f2(a850)),x116081))),
% 184.37/184.15 inference(rename_variables,[],[3207])).
% 184.37/184.15 cnf(11609,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x116091)),x116091))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(11612,plain,
% 184.37/184.15 (~P1(f775(f64(x116121,x116122,f180(f857(x116121,a844))),x116123))),
% 184.37/184.15 inference(rename_variables,[],[4476])).
% 184.37/184.15 cnf(11623,plain,
% 184.37/184.15 (~P1(f775(f775(f279(a850),f775(a114,f775(f775(f82(a850),f775(a114,f2(a850))),x116231))),f775(a114,f2(a850))))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2874,2875,2885,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3640,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,3632,11409,3268,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,4469,11285,11318,11359,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,10692,11327,11372,11580,3187,10634,10700,3262,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,3207,10652,10726,11446,3661,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281])).
% 184.37/184.15 cnf(11625,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x116251),f775(a114,x116251)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(11635,plain,
% 184.37/184.15 (P1(f775(f775(f233(a1),f775(f81(a1),f80(a1))),f2(a1)))),
% 184.37/184.15 inference(scs_inference,[],[3426,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3640,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,4047,10989,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,3632,11409,3268,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,10692,11327,11372,11580,3187,10634,10700,3262,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,3207,10652,10726,11446,3661,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336])).
% 184.37/184.15 cnf(11640,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x116401),x116401))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11643,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x116431),x116431))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11646,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x116461),x116461))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11649,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x116491),x116491))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11652,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x116521)),x116521))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(11655,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x116551)),x116551))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(11658,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x116581)),x116581))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(11661,plain,
% 184.37/184.15 (~P1(f775(f775(f232(a850),f775(a114,x116611)),x116611))),
% 184.37/184.15 inference(rename_variables,[],[4462])).
% 184.37/184.15 cnf(11679,plain,
% 184.37/184.15 (E(f775(f181(f851(x116791)),f775(f141(x116791),x116792)),f775(f181(f851(x116791)),x116792))),
% 184.37/184.15 inference(rename_variables,[],[3198])).
% 184.37/184.15 cnf(11682,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x116821),x116821))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(11687,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x116871),f775(f77(a1),x116871)))),
% 184.37/184.15 inference(scs_inference,[],[3426,3486,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3237,3640,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,4047,10989,3198,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,3632,11409,3268,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,3923,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,3185,10538,10592,10595,10628,10655,10689,10733,3186,10286,10483,10566,10692,11327,11372,11580,11594,3187,10634,10700,3262,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,3207,10652,10726,11446,3661,4007,4460,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442])).
% 184.37/184.15 cnf(11688,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x116881),x116881))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11699,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x116991),x116991))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11702,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(f856(f851(x117021),f851(x117021)),a844)),f147(x117021,x117022)),f300(f851(x117021),f146(x117021,x117022))))),
% 184.37/184.15 inference(rename_variables,[],[3879])).
% 184.37/184.15 cnf(11709,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x117091),f775(a114,x117091)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(11712,plain,
% 184.37/184.15 (P1(f775(f775(f334(f857(x117121,a844)),x117122),f775(f301(x117121),x117122)))),
% 184.37/184.15 inference(rename_variables,[],[3544])).
% 184.37/184.15 cnf(11713,plain,
% 184.37/184.15 (~E(f775(a114,x117131),x117131)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11720,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x117201),x117201))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11725,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x117251),x117251))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11734,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x117341,a844)),x117342),f775(f775(f302(x117341),x117343),x117342)))),
% 184.37/184.15 inference(rename_variables,[],[3625])).
% 184.37/184.15 cnf(11737,plain,
% 184.37/184.15 (P1(f775(f775(f187(a25),x117371),x117371))),
% 184.37/184.15 inference(rename_variables,[],[3184])).
% 184.37/184.15 cnf(11738,plain,
% 184.37/184.15 (~E(f775(a114,x117381),x117381)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11751,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x117511),x117511))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11752,plain,
% 184.37/184.15 (~E(f775(a114,x117521),x117521)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11755,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x117551),x117551))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(11758,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x117581),x117581))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(11761,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x117611),x117611))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(11764,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),x117641),x117641))),
% 184.37/184.15 inference(rename_variables,[],[3185])).
% 184.37/184.15 cnf(11767,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x117671),x117671))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11770,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x117701),x117701))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11773,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x117731),x117731))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11776,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x117761),x117761))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11777,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x117771),f775(a114,x117771)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(11786,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x117861),x117861))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11787,plain,
% 184.37/184.15 (~E(f775(a114,x117871),x117871)),
% 184.37/184.15 inference(rename_variables,[],[4365])).
% 184.37/184.15 cnf(11792,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x117921),x117921))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11807,plain,
% 184.37/184.15 (P1(f775(f775(f232(a1),x118071),x118071))),
% 184.37/184.15 inference(rename_variables,[],[3186])).
% 184.37/184.15 cnf(11812,plain,
% 184.37/184.15 (P1(f775(f775(f232(a850),f2(a850)),x118121))),
% 184.37/184.15 inference(rename_variables,[],[3207])).
% 184.37/184.15 cnf(11831,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x118311),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(11834,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x118341),f2(a850)))),
% 184.37/184.15 inference(rename_variables,[],[4453])).
% 184.37/184.15 cnf(11837,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x118371),x118372),f180(f857(x118371,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11840,plain,
% 184.37/184.15 (~P1(f775(f775(f334(x118401),x118402),f180(f857(x118401,a844))))),
% 184.37/184.15 inference(rename_variables,[],[4465])).
% 184.37/184.15 cnf(11843,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x118431),x118431))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11845,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x118451),f775(f775(f236(a850),x118451),x118452)))),
% 184.37/184.15 inference(scs_inference,[],[3426,3486,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3129,3237,3640,3949,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,4047,10989,3198,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,3632,11409,3268,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,11546,3923,3879,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,3262,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,10781,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5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% 184.37/184.15 cnf(11846,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x118461),x118461))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11849,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x118491),x118491))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11851,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x118511),f775(f775(f104(a850),x118511),x118512)))),
% 184.37/184.15 inference(scs_inference,[],[3426,3486,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3129,3237,3640,3949,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,4047,10989,3198,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,3632,11409,3268,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,11546,3923,3879,3826,10644,3874,3544,3912,3561,10821,10883,10968,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,3262,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,10781,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241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% 184.37/184.15 cnf(11852,plain,
% 184.37/184.15 (~P1(f775(f775(f233(a850),x118521),x118521))),
% 184.37/184.15 inference(rename_variables,[],[4449])).
% 184.37/184.15 cnf(11855,plain,
% 184.37/184.15 (P1(f775(f775(f233(a850),x118551),f775(a114,x118551)))),
% 184.37/184.15 inference(rename_variables,[],[3254])).
% 184.37/184.15 cnf(11862,plain,
% 184.37/184.15 (P1(f775(f775(f334(f857(x118621,a844)),x118622),f775(f301(x118621),x118622)))),
% 184.37/184.15 inference(rename_variables,[],[3544])).
% 184.37/184.15 cnf(11867,plain,
% 184.37/184.15 (P1(f775(f775(f232(f857(x118671,a844)),f775(f158(x118671),f775(f126(x118671,x118672),x118673))),f775(f158(x118671),x118673)))),
% 184.37/184.15 inference(rename_variables,[],[3826])).
% 184.38/184.15 cnf(11874,plain,
% 184.38/184.15 (~P1(f775(f775(f334(x118741),x118742),f180(f857(x118741,a844))))),
% 184.38/184.15 inference(rename_variables,[],[4465])).
% 184.38/184.15 cnf(11883,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x118831,a844)),x118832),f239(f857(x118831,a844))))),
% 184.38/184.15 inference(rename_variables,[],[3561])).
% 184.38/184.15 cnf(11884,plain,
% 184.38/184.15 (~E(f775(a114,x118841),x118841)),
% 184.38/184.15 inference(rename_variables,[],[4365])).
% 184.38/184.15 cnf(11887,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x118871,a844)),f775(f158(x118871),f775(f126(x118871,x118872),x118873))),f775(f158(x118871),x118873)))),
% 184.38/184.15 inference(rename_variables,[],[3826])).
% 184.38/184.15 cnf(11893,plain,
% 184.38/184.15 (P1(f775(f775(f233(a850),x118931),f775(a114,x118931)))),
% 184.38/184.15 inference(rename_variables,[],[3254])).
% 184.38/184.15 cnf(11902,plain,
% 184.38/184.15 (E(f775(f181(f851(x119021)),f775(f141(x119021),x119022)),f775(f181(f851(x119021)),x119022))),
% 184.38/184.15 inference(rename_variables,[],[3198])).
% 184.38/184.15 cnf(11905,plain,
% 184.38/184.15 (P39(a25,x119051,x119052,x119051)),
% 184.38/184.15 inference(rename_variables,[],[3402])).
% 184.38/184.15 cnf(11918,plain,
% 184.38/184.15 (P1(f775(f63(x119181),f180(f857(x119181,a844))))),
% 184.38/184.15 inference(rename_variables,[],[3262])).
% 184.38/184.15 cnf(11919,plain,
% 184.38/184.15 (~P1(f775(f775(f334(x119191),x119192),f180(f857(x119191,a844))))),
% 184.38/184.15 inference(rename_variables,[],[4465])).
% 184.38/184.15 cnf(11922,plain,
% 184.38/184.15 (P39(a25,x119221,x119222,x119221)),
% 184.38/184.15 inference(rename_variables,[],[3402])).
% 184.38/184.15 cnf(11927,plain,
% 184.38/184.15 (~P1(f775(f775(f233(a850),x119271),f2(a850)))),
% 184.38/184.15 inference(rename_variables,[],[4453])).
% 184.38/184.15 cnf(11928,plain,
% 184.38/184.15 (~P1(f775(f775(f233(a850),x119281),x119281))),
% 184.38/184.15 inference(rename_variables,[],[4449])).
% 184.38/184.15 cnf(11935,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x119351,a844)),f775(f158(x119351),f151(x119351,x119352,x119353))),f775(f158(x119351),x119353)))),
% 184.38/184.15 inference(rename_variables,[],[3874])).
% 184.38/184.15 cnf(11937,plain,
% 184.38/184.15 (~P39(f33(f775(f334(f856(f851(x119371),f851(x119371))),f775(f775(f241(f851(x119371),f851(x119371)),f115(x119371)),f115(x119371))),f36(x119372,f36(x119373,f36(f36(f775(a27,x119374),x119375),x119376))),x119377),f147(x119371,x119378),f2(a850),x119379)),
% 184.38/184.15 inference(scs_inference,[],[3402,11905,3426,3486,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3129,3237,3640,3949,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3198,11679,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,11546,3226,3923,3879,3826,10644,11867,3874,10818,3544,11712,3912,3561,10821,10883,10968,11030,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,3262,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,10781,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003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% 184.38/184.15 cnf(11940,plain,
% 184.38/184.15 (P29(x119401,x119401,f7(x119401),x119402)),
% 184.38/184.15 inference(rename_variables,[],[3426])).
% 184.38/184.15 cnf(11945,plain,
% 184.38/184.15 (P1(f775(f775(f334(f857(x119451,a844)),x119452),f775(f301(x119451),x119452)))),
% 184.38/184.15 inference(rename_variables,[],[3544])).
% 184.38/184.15 cnf(11952,plain,
% 184.38/184.15 (P1(f775(f775(f187(a25),x119521),x119521))),
% 184.38/184.15 inference(rename_variables,[],[3184])).
% 184.38/184.15 cnf(11955,plain,
% 184.38/184.15 (~P1(f775(f775(f334(x119551),x119552),f180(f857(x119551,a844))))),
% 184.38/184.15 inference(rename_variables,[],[4465])).
% 184.38/184.15 cnf(11958,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x119581,a844)),x119582),f775(f775(f302(x119581),x119583),x119582)))),
% 184.38/184.15 inference(rename_variables,[],[3625])).
% 184.38/184.15 cnf(11959,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x119591,a844)),x119592),f239(f857(x119591,a844))))),
% 184.38/184.15 inference(rename_variables,[],[3561])).
% 184.38/184.15 cnf(11966,plain,
% 184.38/184.15 (P1(f775(f775(f233(a850),x119661),f775(a114,x119661)))),
% 184.38/184.15 inference(rename_variables,[],[3254])).
% 184.38/184.15 cnf(11969,plain,
% 184.38/184.15 (P1(f775(f775(f233(a850),x119691),f775(a114,x119691)))),
% 184.38/184.15 inference(rename_variables,[],[3254])).
% 184.38/184.15 cnf(11972,plain,
% 184.38/184.15 (P1(f775(f775(f232(a850),x119721),x119721))),
% 184.38/184.15 inference(rename_variables,[],[3185])).
% 184.38/184.15 cnf(11975,plain,
% 184.38/184.15 (P1(f775(f775(f232(a850),x119751),x119751))),
% 184.38/184.15 inference(rename_variables,[],[3185])).
% 184.38/184.15 cnf(11978,plain,
% 184.38/184.15 (P1(f775(f775(f232(a850),x119781),x119781))),
% 184.38/184.15 inference(rename_variables,[],[3185])).
% 184.38/184.15 cnf(11981,plain,
% 184.38/184.15 (P1(f775(f775(f232(a850),x119811),x119811))),
% 184.38/184.15 inference(rename_variables,[],[3185])).
% 184.38/184.15 cnf(11984,plain,
% 184.38/184.15 (P1(f775(f775(f279(a850),x119841),x119841))),
% 184.38/184.15 inference(rename_variables,[],[3187])).
% 184.38/184.15 cnf(11987,plain,
% 184.38/184.15 (P1(f775(f775(f279(a850),x119871),x119871))),
% 184.38/184.15 inference(rename_variables,[],[3187])).
% 184.38/184.15 cnf(11991,plain,
% 184.38/184.15 (~P1(f775(f775(f232(a1),f775(f775(f3(a1),a85),a99)),f2(a1)))),
% 184.38/184.15 inference(scs_inference,[],[3402,11905,3426,10873,3486,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2834,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3129,3237,3640,3949,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3198,11679,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,11546,3226,3923,3879,3826,10644,11867,3874,10818,3544,11712,11862,3912,3561,10821,10883,10968,11030,11883,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,10781,11734,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586])).
% 184.38/184.15 cnf(11994,plain,
% 184.38/184.15 (P1(f775(f775(f334(f857(x119941,a844)),x119942),f775(f301(x119941),x119942)))),
% 184.38/184.15 inference(rename_variables,[],[3544])).
% 184.38/184.15 cnf(11998,plain,
% 184.38/184.15 (~P1(f775(f775(f233(a1),f775(f775(f82(a1),a85),a85)),f2(a1)))),
% 184.38/184.15 inference(scs_inference,[],[3402,11905,3426,10873,3486,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2834,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3129,3237,3640,3949,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3198,11679,3244,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,11546,3226,3923,3879,3826,10644,11867,3874,10818,3544,11712,11862,11945,3912,3561,10821,10883,10968,11030,11883,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,3341,10440,10703,10748,11019,11092,11248,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,10781,11734,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622])).
% 184.38/184.15 cnf(12003,plain,
% 184.38/184.15 (~E(f775(a114,x120031),x120031)),
% 184.38/184.15 inference(rename_variables,[],[4365])).
% 184.38/184.15 cnf(12004,plain,
% 184.38/184.15 (E(f775(f303(x120041,x120041,f7(x120041)),x120042),x120042)),
% 184.38/184.15 inference(rename_variables,[],[3244])).
% 184.38/184.15 cnf(12007,plain,
% 184.38/184.15 (P34(x120071,x120072,f115(x120071),f115(x120071))),
% 184.38/184.15 inference(rename_variables,[],[3434])).
% 184.38/184.15 cnf(12010,plain,
% 184.38/184.15 (~E(f775(a114,x120101),x120101)),
% 184.38/184.15 inference(rename_variables,[],[4365])).
% 184.38/184.15 cnf(12013,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x120131,a844)),f775(f158(x120131),f151(x120131,x120132,x120133))),f775(f158(x120131),x120133)))),
% 184.38/184.15 inference(rename_variables,[],[3874])).
% 184.38/184.15 cnf(12014,plain,
% 184.38/184.15 (P1(f775(f63(x120141),f775(f158(x120141),x120142)))),
% 184.38/184.15 inference(rename_variables,[],[3226])).
% 184.38/184.15 cnf(12025,plain,
% 184.38/184.15 (~P1(f775(f775(f233(a850),x120251),x120251))),
% 184.38/184.15 inference(rename_variables,[],[4449])).
% 184.38/184.15 cnf(12028,plain,
% 184.38/184.15 (~P1(f775(f775(f233(a850),x120281),x120281))),
% 184.38/184.15 inference(rename_variables,[],[4449])).
% 184.38/184.15 cnf(12037,plain,
% 184.38/184.15 (E(f775(f181(f851(x120371)),f775(f141(x120371),x120372)),f775(f181(f851(x120371)),x120372))),
% 184.38/184.15 inference(rename_variables,[],[3198])).
% 184.38/184.15 cnf(12040,plain,
% 184.38/184.15 (P18(a850,f775(f142(a850),f775(f775(f143(f851(x120401),a850),f181(f851(x120401))),f164(x120401,x120402))))),
% 184.38/184.15 inference(rename_variables,[],[3743])).
% 184.38/184.15 cnf(12043,plain,
% 184.38/184.15 (P29(x120431,x120431,f7(x120431),x120432)),
% 184.38/184.15 inference(rename_variables,[],[3426])).
% 184.38/184.15 cnf(12046,plain,
% 184.38/184.15 (P1(f775(f775(f334(f851(x120461)),f115(x120461)),f149(x120461,x120462)))),
% 184.38/184.15 inference(rename_variables,[],[3383])).
% 184.38/184.15 cnf(12049,plain,
% 184.38/184.15 (~P1(f775(f775(f180(f857(x120491,f857(x120492,a844))),x120493),x120494))),
% 184.38/184.15 inference(rename_variables,[],[4480])).
% 184.38/184.15 cnf(12051,plain,
% 184.38/184.15 (P1(f775(f775(f233(f857(x120511,a844)),f775(a114,f239(f857(x120511,a844)))),f775(f775(f302(x120511),x120512),f239(f857(x120511,a844)))))),
% 184.38/184.15 inference(scs_inference,[],[3402,11905,3426,10873,11940,3434,3486,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2834,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3129,3237,3640,3949,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3065,3198,11679,11902,3244,10647,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,11546,3226,3923,3879,3826,10644,11867,3874,10818,11935,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,3341,10440,10703,10748,11019,11092,11248,11498,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,10781,11734,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,11123,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878])).
% 184.38/184.15 cnf(12054,plain,
% 184.38/184.15 (P1(f775(f775(f232(a850),x120541),x120541))),
% 184.38/184.15 inference(rename_variables,[],[3185])).
% 184.38/184.15 cnf(12055,plain,
% 184.38/184.15 (P1(f775(f775(f232(a850),f2(a850)),x120551))),
% 184.38/184.15 inference(rename_variables,[],[3207])).
% 184.38/184.15 cnf(12057,plain,
% 184.38/184.15 (P1(f775(f775(f232(a1),f2(a1)),f795(x120571,f180(f857(x120572,f857(x120573,a844))),f80(a1))))),
% 184.38/184.15 inference(scs_inference,[],[3402,11905,3426,10873,11940,3434,3486,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2834,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3129,3237,3640,3949,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3065,3198,11679,11902,3244,10647,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,11546,3226,3923,3879,3826,10644,11867,3874,10818,11935,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,3341,10440,10703,10748,11019,11092,11248,11498,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,10781,11734,3483,3629,10844,10998,11024,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,11123,12049,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901])).
% 184.38/184.15 cnf(12058,plain,
% 184.38/184.15 (~P1(f775(f775(f180(f857(x120581,f857(x120582,a844))),x120583),x120584))),
% 184.38/184.15 inference(rename_variables,[],[4480])).
% 184.38/184.15 cnf(12061,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(f856(f851(x120611),f851(x120611)),a844)),f147(x120611,x120612)),f300(f851(x120611),f146(x120611,x120612))))),
% 184.38/184.15 inference(rename_variables,[],[3879])).
% 184.38/184.15 cnf(12066,plain,
% 184.38/184.15 (P1(f775(f775(f233(f857(x120661,a844)),f180(f857(x120661,a844))),f239(f857(x120661,a844))))),
% 184.38/184.15 inference(scs_inference,[],[3402,11905,3426,10873,11940,3434,3486,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,4340,11160,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2834,2835,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3129,3237,3640,3949,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3065,3198,11679,11902,3244,10647,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,3543,4242,4243,4396,3489,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,11546,3226,3923,3879,11702,12061,3826,10644,11867,3874,10818,11935,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,3341,10440,10703,10748,11019,11092,11248,11498,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,10781,11734,3483,3629,10844,10998,11024,11035,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,11123,12049,4067,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986])).
% 184.38/184.15 cnf(12067,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x120671,a844)),f180(f857(x120671,a844))),x120672))),
% 184.38/184.15 inference(rename_variables,[],[3629])).
% 184.38/184.15 cnf(12070,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x120701,a844)),f775(f303(x120702,x120701,x120703),f775(f305(x120702,x120701,x120703),x120704))),x120704))),
% 184.38/184.15 inference(rename_variables,[],[4067])).
% 184.38/184.15 cnf(12073,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x120731,a844)),f775(f158(x120731),f151(x120731,x120732,x120733))),f775(f158(x120731),x120733)))),
% 184.38/184.15 inference(rename_variables,[],[3874])).
% 184.38/184.15 cnf(12074,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x120741,a844)),f775(f158(x120741),f775(f126(x120741,x120742),x120743))),f775(f158(x120741),x120743)))),
% 184.38/184.15 inference(rename_variables,[],[3826])).
% 184.38/184.15 cnf(12079,plain,
% 184.38/184.15 (P29(x120791,f854(x120791),f227(x120791),x120792)),
% 184.38/184.15 inference(rename_variables,[],[3435])).
% 184.38/184.15 cnf(12084,plain,
% 184.38/184.15 (P1(f775(f775(f232(f857(x120841,a844)),f775(f303(x120842,x120841,x120843),f775(f305(x120842,x120841,x120843),x120844))),x120844))),
% 184.38/184.15 inference(rename_variables,[],[4067])).
% 184.38/184.15 cnf(12087,plain,
% 184.38/184.15 (P1(f775(f63(f854(x120871)),f775(f303(x120872,f854(x120871),f166(x120872,x120871,x120873)),f239(f857(x120872,a844)))))),
% 184.38/184.15 inference(rename_variables,[],[3936])).
% 184.38/184.15 cnf(12092,plain,
% 184.38/184.15 (P1(f775(f775(f334(f857(x120921,a844)),x120922),f775(f301(x120921),x120922)))),
% 184.38/184.15 inference(rename_variables,[],[3544])).
% 184.38/184.15 cnf(12095,plain,
% 184.38/184.15 (~P1(f775(f775(f334(f856(f851(x120951),f851(x120951))),f775(f775(f241(f851(x120951),f851(x120951)),x120952),f115(x120951))),f135(x120951,x120953)))),
% 184.38/184.15 inference(rename_variables,[],[4481])).
% 184.38/184.15 cnf(12098,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x120981),f2(a850)))),
% 184.38/184.16 inference(rename_variables,[],[4453])).
% 184.38/184.16 cnf(12100,plain,
% 184.38/184.16 (~P1(f775(f63(x121001),f239(f857(x121001,a844))))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,3426,10873,11940,3434,3435,3486,3156,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,4340,11160,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,4383,10273,10368,4377,2810,2813,2822,2828,2832,2833,2834,2835,2837,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,3129,3237,3640,3949,3028,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3065,3198,11679,11902,3244,10647,3119,3139,10310,3289,4473,3815,4399,10105,10270,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,3816,10815,10934,11001,4481,10751,10941,11055,11075,11111,11117,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,3543,4242,4243,4396,3489,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3375,4470,3956,11072,3508,3730,11543,11546,3226,3923,3879,11702,12061,3826,10644,11867,11887,3874,10818,11935,12013,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,3341,10440,10703,10748,11019,11092,11248,11498,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,3625,10764,10770,10781,11734,3483,10986,3629,10844,10998,11024,11035,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,11123,12049,4067,10637,12070,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986,7987,7988,8008,8009,8043,8047,8051,8060,8074,8101,8105,8111])).
% 184.38/184.16 cnf(12101,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x121011,a844)),x121012),x121012))),
% 184.38/184.16 inference(rename_variables,[],[3483])).
% 184.38/184.16 cnf(12104,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x121041),x121042),f180(f857(x121041,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12107,plain,
% 184.38/184.16 (~P1(f775(f775(f180(f857(x121071,f857(x121072,a844))),x121073),x121074))),
% 184.38/184.16 inference(rename_variables,[],[4480])).
% 184.38/184.16 cnf(12110,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x121101,a844)),f775(f303(x121102,x121101,x121103),f775(f305(x121102,x121101,x121103),x121104))),x121104))),
% 184.38/184.16 inference(rename_variables,[],[4067])).
% 184.38/184.16 cnf(12111,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x121111,a844)),x121112),x121112))),
% 184.38/184.16 inference(rename_variables,[],[3483])).
% 184.38/184.16 cnf(12116,plain,
% 184.38/184.16 (E(f37(x121161,x121162,x121163,x121164,x121165,x121166,x121167,x121168,x121169,a25),x121162)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12119,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x121191,a844)),f775(f158(x121191),f151(x121191,x121192,x121193))),f775(f158(x121191),x121193)))),
% 184.38/184.16 inference(rename_variables,[],[3874])).
% 184.38/184.16 cnf(12120,plain,
% 184.38/184.16 (P1(f775(f63(x121201),f775(f158(x121201),x121202)))),
% 184.38/184.16 inference(rename_variables,[],[3226])).
% 184.38/184.16 cnf(12123,plain,
% 184.38/184.16 (P1(f775(f775(f187(a25),x121231),x121231))),
% 184.38/184.16 inference(rename_variables,[],[3184])).
% 184.38/184.16 cnf(12126,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x121261),x121261))),
% 184.38/184.16 inference(rename_variables,[],[4449])).
% 184.38/184.16 cnf(12129,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x121291),x121291))),
% 184.38/184.16 inference(rename_variables,[],[4449])).
% 184.38/184.16 cnf(12140,plain,
% 184.38/184.16 (P29(x121401,x121401,f7(x121401),x121402)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12147,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x121471),x121472),f180(f857(x121471,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12150,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(x121501,x121501)),f775(f775(f241(x121501,x121501),x121502),x121502)),f300(x121501,x121503)))),
% 184.38/184.16 inference(rename_variables,[],[3816])).
% 184.38/184.16 cnf(12153,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x121531),x121532),f180(f857(x121531,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12156,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(x121561,x121561)),f775(f775(f241(x121561,x121561),x121562),x121562)),f300(x121561,x121563)))),
% 184.38/184.16 inference(rename_variables,[],[3816])).
% 184.38/184.16 cnf(12166,plain,
% 184.38/184.16 (~E(f775(f775(f140(x121661),x121662),x121663),x121663)),
% 184.38/184.16 inference(rename_variables,[],[4399])).
% 184.38/184.16 cnf(12169,plain,
% 184.38/184.16 (P1(f775(f775(f334(x121691),x121692),f239(f857(x121691,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3341])).
% 184.38/184.16 cnf(12170,plain,
% 184.38/184.16 (~E(f775(a114,x121701),x121701)),
% 184.38/184.16 inference(rename_variables,[],[4365])).
% 184.38/184.16 cnf(12173,plain,
% 184.38/184.16 (P1(f775(f775(f334(f851(x121731)),f115(x121731)),f149(x121731,x121732)))),
% 184.38/184.16 inference(rename_variables,[],[3383])).
% 184.38/184.16 cnf(12174,plain,
% 184.38/184.16 (~E(f775(f775(f140(x121741),x121742),x121743),f115(x121741))),
% 184.38/184.16 inference(rename_variables,[],[4408])).
% 184.38/184.16 cnf(12177,plain,
% 184.38/184.16 (P1(f775(f775(f334(x121771),f775(x121772,x121773)),f775(f303(x121774,x121771,x121772),f239(f857(x121774,a844)))))),
% 184.38/184.16 inference(rename_variables,[],[3787])).
% 184.38/184.16 cnf(12178,plain,
% 184.38/184.16 (P29(x121781,x121781,f7(x121781),x121782)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12181,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x121811,a844)),f180(f857(x121811,a844))),x121812))),
% 184.38/184.16 inference(rename_variables,[],[3629])).
% 184.38/184.16 cnf(12182,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x121821,a844)),x121822),x121822))),
% 184.38/184.16 inference(rename_variables,[],[3483])).
% 184.38/184.16 cnf(12185,plain,
% 184.38/184.16 (P1(f775(f775(f334(x121851),f775(x121852,x121853)),f775(f303(x121854,x121851,x121852),f239(f857(x121854,a844)))))),
% 184.38/184.16 inference(rename_variables,[],[3787])).
% 184.38/184.16 cnf(12186,plain,
% 184.38/184.16 (P29(x121861,x121861,f7(x121861),x121862)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12189,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(f851(x121891),f851(x121891))),f775(f775(f241(f851(x121891),f851(x121891)),f115(x121891)),f115(x121891))),f147(x121891,x121892)))),
% 184.38/184.16 inference(rename_variables,[],[3962])).
% 184.38/184.16 cnf(12195,plain,
% 184.38/184.16 (P29(x121951,x121951,f7(x121951),x121952)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12198,plain,
% 184.38/184.16 (E(f775(f775(f125(x121981),x121982),f115(x121981)),x121982)),
% 184.38/184.16 inference(rename_variables,[],[3120])).
% 184.38/184.16 cnf(12199,plain,
% 184.38/184.16 (~E(f775(f775(f140(x121991),x121992),x121993),x121993)),
% 184.38/184.16 inference(rename_variables,[],[4399])).
% 184.38/184.16 cnf(12202,plain,
% 184.38/184.16 (E(f775(f775(f125(x122021),x122022),f115(x122021)),x122022)),
% 184.38/184.16 inference(rename_variables,[],[3120])).
% 184.38/184.16 cnf(12203,plain,
% 184.38/184.16 (~E(f775(f775(f140(x122031),x122032),x122033),x122033)),
% 184.38/184.16 inference(rename_variables,[],[4399])).
% 184.38/184.16 cnf(12206,plain,
% 184.38/184.16 (E(f775(f775(f125(x122061),x122062),f115(x122061)),x122062)),
% 184.38/184.16 inference(rename_variables,[],[3120])).
% 184.38/184.16 cnf(12215,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x122151,a844)),x122152),f239(f857(x122151,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3561])).
% 184.38/184.16 cnf(12219,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x122191),x122191))),
% 184.38/184.16 inference(rename_variables,[],[4449])).
% 184.38/184.16 cnf(12220,plain,
% 184.38/184.16 (~E(f775(a114,x122201),x122201)),
% 184.38/184.16 inference(rename_variables,[],[4365])).
% 184.38/184.16 cnf(12223,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x122231,a844)),f180(f857(x122231,a844))),x122232))),
% 184.38/184.16 inference(rename_variables,[],[3629])).
% 184.38/184.16 cnf(12226,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x122261),x122261))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12229,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x122291,a844)),x122292),x122292))),
% 184.38/184.16 inference(rename_variables,[],[3483])).
% 184.38/184.16 cnf(12234,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x122341,a844)),x122342),f775(f775(f302(x122341),x122343),x122342)))),
% 184.38/184.16 inference(rename_variables,[],[3625])).
% 184.38/184.16 cnf(12237,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x122371,a844)),x122372),x122372))),
% 184.38/184.16 inference(rename_variables,[],[3483])).
% 184.38/184.16 cnf(12238,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x122381),x122382),f180(f857(x122381,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12241,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x122411),x122412),f180(f857(x122411,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12248,plain,
% 184.38/184.16 (P29(x122481,x122481,f7(x122481),x122482)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12251,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x122511),x122512),f180(f857(x122511,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12254,plain,
% 184.38/184.16 (P1(f775(f775(f334(x122541),f775(x122542,x122543)),f775(f303(x122544,x122541,x122542),f239(f857(x122544,a844)))))),
% 184.38/184.16 inference(rename_variables,[],[3787])).
% 184.38/184.16 cnf(12255,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(x122551,x122551)),f775(f775(f241(x122551,x122551),x122552),x122552)),f300(x122551,x122553)))),
% 184.38/184.16 inference(rename_variables,[],[3816])).
% 184.38/184.16 cnf(12258,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(x122581,x122581)),f775(f775(f241(x122581,x122581),x122582),x122582)),f300(x122581,x122583)))),
% 184.38/184.16 inference(rename_variables,[],[3816])).
% 184.38/184.16 cnf(12261,plain,
% 184.38/184.16 (P1(f775(f63(x122611),f775(f158(x122611),x122612)))),
% 184.38/184.16 inference(rename_variables,[],[3226])).
% 184.38/184.16 cnf(12266,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(f851(x122661),f851(x122661))),f775(f775(f241(f851(x122661),f851(x122661)),f115(x122661)),f115(x122661))),f775(f775(f281(f851(x122661),f851(x122661),f851(x122661)),f147(x122661,x122662)),f147(x122661,x122662))))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,3426,10873,11940,12043,12140,12178,12186,12195,3434,3435,3486,3156,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,4340,11160,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,4383,10273,10368,3241,4377,2810,2813,2822,2828,2832,2833,2834,2835,2837,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3065,3198,11679,11902,3244,10647,12004,3118,3119,3139,10310,3289,4473,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,12189,3816,10815,10934,11001,12150,12156,12255,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3570,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,3923,3879,11702,12061,3826,10644,11867,11887,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,11959,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,3341,10440,10703,10748,11019,11092,11248,11498,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,11540,12177,12185,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,3629,10844,10998,11024,11035,12067,12181,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,11123,12049,12058,4067,10637,12070,12084,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8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% 184.38/184.16 cnf(12268,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(x122681,x122681)),f775(f775(f241(x122681,x122681),x122682),x122682)),f775(f775(f281(x122681,x122681,x122681),f300(x122681,x122683)),f300(x122681,f300(x122681,x122683)))))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,3426,10873,11940,12043,12140,12178,12186,12195,3434,3435,3486,3156,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,4340,11160,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,4383,10273,10368,3241,4377,2810,2813,2822,2828,2832,2833,2834,2835,2837,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3065,3198,11679,11902,3244,10647,12004,3118,3119,3139,10310,3289,4473,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,12189,3816,10815,10934,11001,12150,12156,12255,12258,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3570,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,3923,3879,11702,12061,3826,10644,11867,11887,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,11959,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,3341,10440,10703,10748,11019,11092,11248,11498,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,11540,12177,12185,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,3629,10844,10998,11024,11035,12067,12181,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,11123,12049,12058,4067,10637,12070,12084,3967,3660,3604,4477,10124,10127,10453,10456,11282,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,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% 184.38/184.16 cnf(12271,plain,
% 184.38/184.16 (~P1(f775(f775(f180(f857(x122711,f857(x122712,a844))),x122713),x122714))),
% 184.38/184.16 inference(rename_variables,[],[4480])).
% 184.38/184.16 cnf(12274,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x122741,a844)),x122742),f239(f857(x122741,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3561])).
% 184.38/184.16 cnf(12277,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(x122771,x122771)),f775(f775(f241(x122771,x122771),x122772),x122772)),f300(x122771,x122773)))),
% 184.38/184.16 inference(rename_variables,[],[3816])).
% 184.38/184.16 cnf(12280,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x122801),x122802)),x122802))),
% 184.38/184.16 inference(rename_variables,[],[4477])).
% 184.38/184.16 cnf(12281,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x122811),f775(a114,x122811)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12284,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x122841,a844)),x122842),f239(f857(x122841,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3561])).
% 184.38/184.16 cnf(12287,plain,
% 184.38/184.16 (E(f37(x122871,x122872,x122873,x122874,x122875,x122876,x122877,x122878,x122879,a25),x122872)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12294,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(f856(f851(x122941),f851(x122941)),f856(f851(x122941),f851(x122941)))),f507(f300(f856(f851(x122941),f851(x122941)),x122942),f135(x122941,x122943),f856(f851(x122941),f851(x122941)))),f300(f856(f851(x122941),f851(x122941)),x122942)))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,3426,10873,11940,12043,12140,12178,12186,12195,3434,3435,3486,3156,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,4340,11160,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,4383,10273,10368,3241,4377,2810,2813,2822,2828,2832,2833,2834,2835,2837,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3520,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3065,3198,11679,11902,3244,10647,12004,3118,3119,3139,10310,3289,4473,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,12189,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3570,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,3923,3879,11702,12061,3826,10644,11867,11887,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,3341,10440,10703,10748,11019,11092,11248,11498,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,11540,12177,12185,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,3960,3629,10844,10998,11024,11035,12067,12181,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,11123,12049,12058,12107,4067,10637,12070,12084,3967,3660,3604,4477,10124,10127,10453,10456,11282,11476,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986,7987,7988,8008,8009,8043,8047,8051,8060,8074,8101,8105,8111,8124,8143,8149,8171,8211,8241,8253,8270,8273,8302,8329,8393,8394,8397,8398,8415,8505,8506,8507,8508,8531,8555,8577,8619,8637,8690,8731,8734,8747,8784,8802,8818,8819,8834,8835,8963,8968,8986,9002,9022,9024,9027,9030,9033,9034,9046,9047,9070,9143,9178,9179,9244,9250,9284,9295,9299,9303,9304,9318,9342,9353,9362,9363,9365])).
% 184.38/184.16 cnf(12298,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x122981),x122982),f180(f857(x122981,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12299,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(f851(x122991),f851(x122991))),f775(f775(f241(f851(x122991),f851(x122991)),f115(x122991)),f115(x122991))),f147(x122991,x122992)))),
% 184.38/184.16 inference(rename_variables,[],[3962])).
% 184.38/184.16 cnf(12301,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(a850,a850)),f775(f775(f241(a850,a850),f2(a850)),f775(a114,f2(a850)))),f775(f775(f281(a850,a850,a850),f300(a850,a323)),f300(a850,f300(a850,a323)))))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,3426,10873,11940,12043,12140,12178,12186,12195,3434,3435,3486,3156,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,4340,11160,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,4383,10273,10368,3241,4377,2810,2813,2822,2828,2832,2833,2834,2835,2837,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3520,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3065,3198,11679,11902,3244,10647,12004,3118,3119,3139,10310,3289,4473,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,12189,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3570,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,3923,3879,11702,12061,3826,10644,11867,11887,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,3341,10440,10703,10748,11019,11092,11248,11498,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,11540,12177,12185,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,3960,3629,10844,10998,11024,11035,12067,12181,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,11123,12049,12058,12107,4067,10637,12070,12084,3967,3660,3604,4477,10124,10127,10453,10456,11282,11476,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986,7987,7988,8008,8009,8043,8047,8051,8060,8074,8101,8105,8111,8124,8143,8149,8171,8211,8241,8253,8270,8273,8302,8329,8393,8394,8397,8398,8415,8505,8506,8507,8508,8531,8555,8577,8619,8637,8690,8731,8734,8747,8784,8802,8818,8819,8834,8835,8963,8968,8986,9002,9022,9024,9027,9030,9033,9034,9046,9047,9070,9143,9178,9179,9244,9250,9284,9295,9299,9303,9304,9318,9342,9353,9362,9363,9365,9367,9394])).
% 184.38/184.16 cnf(12304,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x123041),x123042),f180(f857(x123041,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12307,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x123071),x123072),f180(f857(x123071,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12310,plain,
% 184.38/184.16 (P1(f775(f775(f187(a25),x123101),x123101))),
% 184.38/184.16 inference(rename_variables,[],[3184])).
% 184.38/184.16 cnf(12313,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x123131),x123131))),
% 184.38/184.16 inference(rename_variables,[],[4449])).
% 184.38/184.16 cnf(12315,plain,
% 184.38/184.16 (P1(f775(f775(f334(f856(f851(x123151),f851(x123151))),f775(f775(f241(f851(x123151),f851(x123151)),f775(f141(x123151),x123152)),x123152)),f147(x123151,f239(f857(f856(x123151,x123151),a844)))))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,3426,10873,11940,12043,12140,12178,12186,12195,3434,3435,3486,3156,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,4340,11160,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,4383,10273,10368,3241,4377,2810,2813,2822,2828,2832,2833,2834,2835,2837,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4361,3520,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4438,10809,11103,11106,3733,11192,3086,3051,3046,3035,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,4463,3579,3290,3082,3083,10170,10468,3345,3005,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3570,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,3923,3879,11702,12061,3826,10644,11867,11887,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,3341,10440,10703,10748,11019,11092,11248,11498,12169,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4103,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,11540,12177,12185,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,3960,3629,10844,10998,11024,11035,12067,12181,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,11123,12049,12058,12107,4067,10637,12070,12084,3967,3660,3604,4477,10124,10127,10453,10456,11282,11476,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8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% 184.38/184.16 cnf(12316,plain,
% 184.38/184.16 (P1(f775(f775(f334(x123161),x123162),f239(f857(x123161,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3341])).
% 184.38/184.16 cnf(12320,plain,
% 184.38/184.16 (P28(x123201,x123202,f775(f775(f302(f849(x123201)),f775(f775(f775(f93(x123201),f775(f775(f9(x123201,f857(a847,a847),f857(a847,a844)),f775(f775(f10(f857(a847,a844),f857(f857(a847,a847),f857(a847,a844)),x123201),f10(a847,a844,a847)),x123203)),f775(f775(f20(a847,a850,a847),f775(f775(f9(a847,a848,f857(a850,a847)),a189),x123204)),x123205))),f28(x123204,x123205)),x123203)),f180(f857(f849(x123201),a844))))),
% 184.38/184.16 inference(rename_variables,[],[4325])).
% 184.38/184.16 cnf(12323,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x123231,a844)),x123232),x123232))),
% 184.38/184.16 inference(rename_variables,[],[3483])).
% 184.38/184.16 cnf(12326,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x123261),x123262),f180(f857(x123261,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12329,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),f2(a1)),f775(f775(f242(a1),f775(f77(a1),x123291)),x123292)))),
% 184.38/184.16 inference(rename_variables,[],[3660])).
% 184.38/184.16 cnf(12332,plain,
% 184.38/184.16 (E(f37(x123321,x123322,x123323,x123324,x123325,x123326,x123327,x123328,x123329,a25),x123322)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12334,plain,
% 184.38/184.16 (E(f37(x123341,x123342,x123343,x123344,x123345,x123346,x123347,x123348,x123349,a25),x123342)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12336,plain,
% 184.38/184.16 (P54(x123361,f180(f857(x123361,a844)),x123362)),
% 184.38/184.16 inference(rename_variables,[],[3205])).
% 184.38/184.16 cnf(12340,plain,
% 184.38/184.16 (E(f37(x123401,x123402,x123403,x123404,x123405,x123406,x123407,x123408,x123409,a25),x123402)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12345,plain,
% 184.38/184.16 (P29(x123451,x123451,f7(x123451),x123452)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12347,plain,
% 184.38/184.16 (P29(x123471,x123471,f7(x123471),x123472)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12355,plain,
% 184.38/184.16 (P36(x123551,f775(f775(f280(a850,f37(x123552,x123551,x123553,x123554,x123555,x123556,x123557,x123558,x123559,a25)),a237),x1235510))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,3434,3435,12079,3486,3156,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,4340,11160,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,4383,10273,10368,3241,3205,12336,4377,2810,2813,2822,2828,2832,2833,2834,2835,2837,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2874,2875,2885,2887,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4360,4361,3520,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4438,10809,11103,11106,3733,11192,3086,3051,3046,4325,3035,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,4463,3579,3290,10890,3257,3082,3083,10170,10468,3345,3005,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,4469,11285,11318,11359,11389,3617,3393,3770,3213,3215,3188,4450,4393,3570,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,3923,3879,11702,12061,3826,10644,11867,11887,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,3341,10440,10703,10748,11019,11092,11248,11498,12169,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,4007,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4103,4476,10073,10076,10328,10786,11612,3936,3787,11137,11475,11479,11540,12177,12185,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,12237,3960,3629,10844,10998,11024,11035,12067,12181,3454,10426,10429,10498,10679,4479,11406,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,3967,3660,3604,4477,10124,10127,10453,10456,11282,11476,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986,7987,7988,8008,8009,8043,8047,8051,8060,8074,8101,8105,8111,8124,8143,8149,8171,8211,8241,8253,8270,8273,8302,8329,8393,8394,8397,8398,8415,8505,8506,8507,8508,8531,8555,8577,8619,8637,8690,8731,8734,8747,8784,8802,8818,8819,8834,8835,8963,8968,8986,9002,9022,9024,9027,9030,9033,9034,9046,9047,9070,9143,9178,9179,9244,9250,9284,9295,9299,9303,9304,9318,9342,9353,9362,9363,9365,9367,9394,9510,9589,9727,9728,9798,9868,9948,9959,9964,3,2551,2555,2556,2562,2563,2564,2565,2567,2568,2569,2570,2579,2580,2581,2587])).
% 184.38/184.16 cnf(12359,plain,
% 184.38/184.16 (P31(x123591,f2(a850),f775(f775(f775(f93(x123591),x123592),f775(a27,x123593)),x123594))),
% 184.38/184.16 inference(rename_variables,[],[3554])).
% 184.38/184.16 cnf(12365,plain,
% 184.38/184.16 (E(f37(x123651,x123652,x123653,x123654,x123655,x123656,x123657,x123658,x123659,a25),x123652)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12369,plain,
% 184.38/184.16 (E(f180(f857(f856(x123691,x123691),a844)),f260(x123691,f180(f857(x123691,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3257])).
% 184.38/184.16 cnf(12379,plain,
% 184.38/184.16 (E(f37(x123791,x123792,x123793,x123794,x123795,x123796,x123797,x123798,x123799,a25),x123792)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12381,plain,
% 184.38/184.16 (P39(a25,x123811,x123812,x123811)),
% 184.38/184.16 inference(rename_variables,[],[3402])).
% 184.38/184.16 cnf(12383,plain,
% 184.38/184.16 (P39(a25,x123831,x123832,x123831)),
% 184.38/184.16 inference(rename_variables,[],[3402])).
% 184.38/184.16 cnf(12387,plain,
% 184.38/184.16 (P47(x123871,x123872,f260(x123871,x123872))),
% 184.38/184.16 inference(rename_variables,[],[3155])).
% 184.38/184.16 cnf(12389,plain,
% 184.38/184.16 (P47(x123891,x123892,f260(x123891,x123892))),
% 184.38/184.16 inference(rename_variables,[],[3155])).
% 184.38/184.16 cnf(12397,plain,
% 184.38/184.16 (E(f37(x123971,x123972,x123973,x123974,x123975,x123976,x123977,x123978,x123979,a25),x123972)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12402,plain,
% 184.38/184.16 (E(f37(x124021,x124022,x124023,x124024,x124025,x124026,x124027,x124028,x124029,a25),x124022)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12404,plain,
% 184.38/184.16 (E(f37(x124041,x124042,x124043,x124044,x124045,x124046,x124047,x124048,x124049,a25),x124042)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12406,plain,
% 184.38/184.16 (P19(x124061,f857(x124061,a844),f302(x124061))),
% 184.38/184.16 inference(rename_variables,[],[3159])).
% 184.38/184.16 cnf(12410,plain,
% 184.38/184.16 (E(f37(x124101,x124102,x124103,x124104,x124105,x124106,x124107,x124108,x124109,a25),x124102)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12412,plain,
% 184.38/184.16 (E(f37(x124121,x124122,x124123,x124124,x124125,x124126,x124127,x124128,x124129,a25),x124122)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12415,plain,
% 184.38/184.16 (P53(x124151,x124151,f260(x124151,x124152))),
% 184.38/184.16 inference(rename_variables,[],[3156])).
% 184.38/184.16 cnf(12424,plain,
% 184.38/184.16 (E(f37(x124241,x124242,x124243,x124244,x124245,x124246,x124247,x124248,x124249,a25),x124242)),
% 184.38/184.16 inference(rename_variables,[],[4339])).
% 184.38/184.16 cnf(12426,plain,
% 184.38/184.16 (P37(x124261,f183(x124261))),
% 184.38/184.16 inference(rename_variables,[],[3025])).
% 184.38/184.16 cnf(12431,plain,
% 184.38/184.16 (P41(x124311,x124312,x124313,x124314,f180(f857(x124311,a844)),x124314)),
% 184.38/184.16 inference(rename_variables,[],[4129])).
% 184.38/184.16 cnf(12434,plain,
% 184.38/184.16 (P41(x124341,x124342,x124343,x124344,f180(f857(x124341,a844)),x124344)),
% 184.38/184.16 inference(rename_variables,[],[4129])).
% 184.38/184.16 cnf(12449,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x124491),f2(a850)))),
% 184.38/184.16 inference(rename_variables,[],[4453])).
% 184.38/184.16 cnf(12458,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a1),f775(f102(a1),x124581)),f775(f81(a1),f775(f102(a1),x124582))))),
% 184.38/184.16 inference(rename_variables,[],[4475])).
% 184.38/184.16 cnf(12464,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),f775(f42(x124641),f775(f158(x124641),x124642))),f775(f181(f851(x124641)),x124642)))),
% 184.38/184.16 inference(rename_variables,[],[3726])).
% 184.38/184.16 cnf(12468,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x124681),f2(a850)))),
% 184.38/184.16 inference(rename_variables,[],[4453])).
% 184.38/184.16 cnf(12471,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x124711),f2(a850)))),
% 184.38/184.16 inference(rename_variables,[],[4453])).
% 184.38/184.16 cnf(12474,plain,
% 184.38/184.16 (P1(f775(f63(a850),f297(a850,x124741,x124742)))),
% 184.38/184.16 inference(rename_variables,[],[3394])).
% 184.38/184.16 cnf(12477,plain,
% 184.38/184.16 (P1(f775(f63(a850),f297(a850,x124771,x124772)))),
% 184.38/184.16 inference(rename_variables,[],[3394])).
% 184.38/184.16 cnf(12480,plain,
% 184.38/184.16 (P1(f775(f63(a850),f297(a850,x124801,x124802)))),
% 184.38/184.16 inference(rename_variables,[],[3394])).
% 184.38/184.16 cnf(12483,plain,
% 184.38/184.16 (P1(f775(f63(a850),f297(a850,x124831,x124832)))),
% 184.38/184.16 inference(rename_variables,[],[3394])).
% 184.38/184.16 cnf(12490,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),f775(f81(a1),f775(f102(a1),x124901))),f775(f102(a1),x124902)))),
% 184.38/184.16 inference(rename_variables,[],[3661])).
% 184.38/184.16 cnf(12493,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x124931),f2(a850)))),
% 184.38/184.16 inference(rename_variables,[],[4453])).
% 184.38/184.16 cnf(12494,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x124941),x124941))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12501,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x125011),f775(a114,x125011)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12507,plain,
% 184.38/184.16 (P1(f775(f775(f334(x125071),f775(x125072,x125073)),f775(f303(x125074,x125071,x125072),f239(f857(x125074,a844)))))),
% 184.38/184.16 inference(rename_variables,[],[3787])).
% 184.38/184.16 cnf(12508,plain,
% 184.38/184.16 (~E(f775(a114,x125081),f2(a850))),
% 184.38/184.16 inference(rename_variables,[],[4377])).
% 184.38/184.16 cnf(12510,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a1),f2(a1)),f775(f106(a1),f2(a1))))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,4383,10273,10368,3241,3205,12336,4377,10719,2810,2813,2822,2828,2832,2833,2834,2835,2837,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2874,2875,2885,2887,2888,2913,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3086,3051,3554,12359,3046,3846,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,4463,3269,3579,3290,10890,3509,3257,12369,3082,3083,10170,10468,3345,3074,3005,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3523,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,4469,11285,11318,11359,11389,3617,3393,3394,12474,12477,12480,3770,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,3923,3879,11702,12061,3826,10644,11867,11887,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,3341,10440,10703,10748,11019,11092,11248,11498,12169,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,11549,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,12237,3960,3629,10844,10998,11024,11035,12067,12181,3726,12464,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,3967,3660,3604,11532,4477,10124,10127,10453,10456,11282,11476,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986,7987,7988,8008,8009,8043,8047,8051,8060,8074,8101,8105,8111,8124,8143,8149,8171,8211,8241,8253,8270,8273,8302,8329,8393,8394,8397,8398,8415,8505,8506,8507,8508,8531,8555,8577,8619,8637,8690,8731,8734,8747,8784,8802,8818,8819,8834,8835,8963,8968,8986,9002,9022,9024,9027,9030,9033,9034,9046,9047,9070,9143,9178,9179,9244,9250,9284,9295,9299,9303,9304,9318,9342,9353,9362,9363,9365,9367,9394,9510,9589,9727,9728,9798,9868,9948,9959,9964,3,2551,2555,2556,2562,2563,2564,2565,2567,2568,2569,2570,2579,2580,2581,2587,2588,2596,2597,2598,2611,2615,2616,2617,2623,2627,2628,2629,2632,2643,2644,2646,2647,2648,2649,2658,2659,2661,2664,2667,2668,2681,2683,2684,2686,2697,2701,2705,2710,2711,2712,2716,2734,2735,2742,2745,2746,2754,2759,2762,2763,2764,2766,2776,2800,2801,5172,5345,5351,5352,5429,5521,5550,5582,5598,5604,5606,5667,5668,5669,5670,5686,5721,5850,5896,5921,5957,5992,5996,6145])).
% 184.38/184.16 cnf(12512,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),f775(f106(a1),a85)),f2(a1)))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,4383,10273,10368,3241,3205,12336,4377,10719,2810,2813,2822,2828,2832,2833,2834,2835,2837,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2874,2875,2885,2887,2888,2913,2933,2943,2944,2949,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3086,3051,3554,12359,3046,3846,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,4463,3269,3579,3290,10890,3509,3257,12369,3082,3083,10170,10468,3345,3074,3005,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3523,3695,3743,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,4469,11285,11318,11359,11389,3617,3393,3394,12474,12477,12480,3770,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,3923,3879,11702,12061,3826,10644,11867,11887,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,3187,10634,10700,11984,3262,11918,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,3341,10440,10703,10748,11019,11092,11248,11498,12169,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,3248,10465,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,3661,11549,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,12237,3960,3629,10844,10998,11024,11035,12067,12181,3726,12464,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,3967,3660,3604,11532,4477,10124,10127,10453,10456,11282,11476,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826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% 184.38/184.16 cnf(12513,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x125131),x125131))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12516,plain,
% 184.38/184.16 (P1(f775(f63(a850),f297(a850,x125161,x125162)))),
% 184.38/184.16 inference(rename_variables,[],[3394])).
% 184.38/184.16 cnf(12519,plain,
% 184.38/184.16 (P1(f775(f63(a850),f297(a850,x125191,x125192)))),
% 184.38/184.16 inference(rename_variables,[],[3394])).
% 184.38/184.16 cnf(12522,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x125221),x125221))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12535,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x125351),f775(a114,x125351)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12540,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),f52(a850,x125401,x125402)),x125401))),
% 184.38/184.16 inference(rename_variables,[],[3637])).
% 184.38/184.16 cnf(12549,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x125491),f775(a114,x125491)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12550,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x125501),f2(a850)))),
% 184.38/184.16 inference(rename_variables,[],[4453])).
% 184.38/184.16 cnf(12559,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a1),f775(f102(a1),x125591)),f2(a1)))),
% 184.38/184.16 inference(rename_variables,[],[4469])).
% 184.38/184.16 cnf(12560,plain,
% 184.38/184.16 (P1(f775(f239(f857(x125601,a844)),x125602))),
% 184.38/184.16 inference(rename_variables,[],[3248])).
% 184.38/184.16 cnf(12563,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a1),f775(f102(a1),x125631)),f2(a1)))),
% 184.38/184.16 inference(rename_variables,[],[4469])).
% 184.38/184.16 cnf(12564,plain,
% 184.38/184.16 (P1(f775(f239(f857(x125641,a844)),x125642))),
% 184.38/184.16 inference(rename_variables,[],[3248])).
% 184.38/184.16 cnf(12567,plain,
% 184.38/184.16 (P1(f775(f239(f857(x125671,a844)),x125672))),
% 184.38/184.16 inference(rename_variables,[],[3248])).
% 184.38/184.16 cnf(12570,plain,
% 184.38/184.16 (P1(f775(f239(f857(x125701,a844)),x125702))),
% 184.38/184.16 inference(rename_variables,[],[3248])).
% 184.38/184.16 cnf(12578,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x125781),x125782),f180(f857(x125781,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12579,plain,
% 184.38/184.16 (P1(f775(f63(x125791),f180(f857(x125791,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3262])).
% 184.38/184.16 cnf(12591,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),f2(a850)),x125911))),
% 184.38/184.16 inference(rename_variables,[],[3207])).
% 184.38/184.16 cnf(12594,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x125941),f775(a114,x125941)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12595,plain,
% 184.38/184.16 (~E(f775(a114,x125951),x125951)),
% 184.38/184.16 inference(rename_variables,[],[4365])).
% 184.38/184.16 cnf(12598,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x125981),x125982),f180(f857(x125981,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12601,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x126011),x126012),f180(f857(x126011,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12603,plain,
% 184.38/184.16 (P1(f775(f775(f279(a850),x126031),f52(a850,x126031,x126031)))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,12220,4383,10273,10368,3241,3205,12336,4377,10719,2810,2813,2822,2828,2832,2833,2834,2835,2837,2843,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2871,2874,2875,2885,2887,2888,2913,2933,2943,2944,2949,2953,2956,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,3510,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3086,3051,3554,12359,3046,3846,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,4463,3269,3579,3290,10890,3509,3257,12369,3082,3083,10170,10468,3345,3074,3005,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3523,3695,3743,12040,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,12501,12535,12549,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,12493,4469,11285,11318,11359,11389,12559,12563,3617,3393,3394,12474,12477,12480,12483,12516,3770,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,3923,3879,11702,12061,3826,10644,11867,11887,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,12092,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,12310,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,12494,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,3187,10634,10700,11984,11987,3262,11918,12579,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,3341,10440,10703,10748,11019,11092,11248,11498,12169,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,12326,12578,12598,3248,10465,10495,12560,12564,12567,3285,3280,3701,3637,10151,11412,11445,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,3207,10652,10726,11446,11608,11812,12055,3661,11549,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,12237,3960,3629,10844,10998,11024,11035,12067,12181,3726,12464,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,3967,3660,12329,3604,11532,4477,10124,10127,10453,10456,11282,11476,4478,11386,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,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% 184.38/184.16 cnf(12606,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x126061),x126061))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12613,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x126131),x126131))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12617,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x126171),f775(a114,x126171)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12620,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x126201),x126201))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12625,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x126251),x126251))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12628,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x126281),x126281))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12631,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x126311),x126311))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12634,plain,
% 184.38/184.16 (E(f775(f775(f3(f857(x126341,a844)),f180(f857(x126341,a844))),x126342),f180(f857(x126341,a844)))),
% 184.38/184.16 inference(rename_variables,[],[3456])).
% 184.38/184.16 cnf(12635,plain,
% 184.38/184.16 (P1(f775(f63(x126351),f180(f857(x126351,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3262])).
% 184.38/184.16 cnf(12638,plain,
% 184.38/184.16 (E(f775(f775(f3(f857(x126381,a844)),f180(f857(x126381,a844))),x126382),f180(f857(x126381,a844)))),
% 184.38/184.16 inference(rename_variables,[],[3456])).
% 184.38/184.16 cnf(12639,plain,
% 184.38/184.16 (P1(f775(f63(x126391),f180(f857(x126391,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3262])).
% 184.38/184.16 cnf(12642,plain,
% 184.38/184.16 (E(f775(f775(f3(f857(x126421,a844)),f180(f857(x126421,a844))),x126422),f180(f857(x126421,a844)))),
% 184.38/184.16 inference(rename_variables,[],[3456])).
% 184.38/184.16 cnf(12643,plain,
% 184.38/184.16 (P1(f775(f63(x126431),f180(f857(x126431,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3262])).
% 184.38/184.16 cnf(12646,plain,
% 184.38/184.16 (E(f775(f775(f3(f857(x126461,a844)),f180(f857(x126461,a844))),x126462),f180(f857(x126461,a844)))),
% 184.38/184.16 inference(rename_variables,[],[3456])).
% 184.38/184.16 cnf(12647,plain,
% 184.38/184.16 (P1(f775(f63(x126471),f180(f857(x126471,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3262])).
% 184.38/184.16 cnf(12651,plain,
% 184.38/184.16 (E(f38(x126511,x126512,x126513,x126514,x126515,x126516,x126517,x126518,x126519,a25),x126512)),
% 184.38/184.16 inference(rename_variables,[],[4340])).
% 184.38/184.16 cnf(12656,plain,
% 184.38/184.16 (P1(f775(f775(f279(a850),f775(a114,f2(a850))),x126561))),
% 184.38/184.16 inference(rename_variables,[],[3342])).
% 184.38/184.16 cnf(12657,plain,
% 184.38/184.16 (~P1(f775(f775(f232(a850),f775(a114,x126571)),x126571))),
% 184.38/184.16 inference(rename_variables,[],[4462])).
% 184.38/184.16 cnf(12660,plain,
% 184.38/184.16 (E(f775(f775(f3(f857(x126601,a844)),f180(f857(x126601,a844))),x126602),f180(f857(x126601,a844)))),
% 184.38/184.16 inference(rename_variables,[],[3456])).
% 184.38/184.16 cnf(12661,plain,
% 184.38/184.16 (P1(f775(f63(x126611),f180(f857(x126611,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3262])).
% 184.38/184.16 cnf(12665,plain,
% 184.38/184.16 (P1(f775(f63(x126651),f180(f857(x126651,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3262])).
% 184.38/184.16 cnf(12668,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x126681),x126681))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12674,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x126741),x126741))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12677,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x126771),f775(a114,x126771)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12684,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x126841),f775(a114,x126841)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12687,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x126871),x126871))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12698,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x126981),x126981))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12701,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x127011),x127011))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12708,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x127081),x127082),f180(f857(x127081,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12719,plain,
% 184.38/184.16 (P1(f775(f775(f334(x127191),x127192),f239(f857(x127191,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3341])).
% 184.38/184.16 cnf(12725,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x127251,a844)),f775(f158(x127251),f775(f126(x127251,x127252),x127253))),f775(f158(x127251),x127253)))),
% 184.38/184.16 inference(rename_variables,[],[3826])).
% 184.38/184.16 cnf(12731,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x127311),f2(a850)))),
% 184.38/184.16 inference(rename_variables,[],[4453])).
% 184.38/184.16 cnf(12732,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x127321),x127321))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12736,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x127361),f2(a850)))),
% 184.38/184.16 inference(rename_variables,[],[4453])).
% 184.38/184.16 cnf(12737,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x127371),x127371))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12742,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x127421),x127421))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12749,plain,
% 184.38/184.16 (E(f775(f775(f18(x127491,x127492),x127493),x127494),x127493)),
% 184.38/184.16 inference(rename_variables,[],[3176])).
% 184.38/184.16 cnf(12752,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x127521,a844)),f775(f158(x127521),f151(x127521,x127522,x127523))),f775(f158(x127521),x127523)))),
% 184.38/184.16 inference(rename_variables,[],[3874])).
% 184.38/184.16 cnf(12759,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x127591),f2(a850)))),
% 184.38/184.16 inference(rename_variables,[],[4453])).
% 184.38/184.16 cnf(12760,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x127601),x127601))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12764,plain,
% 184.38/184.16 (~P1(f775(f775(f233(a850),x127641),f2(a850)))),
% 184.38/184.16 inference(rename_variables,[],[4453])).
% 184.38/184.16 cnf(12765,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x127651),x127651))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12767,plain,
% 184.38/184.16 (~P1(f775(f775(f233(f857(a850,a844)),f295(a850,f775(a114,x127671),f775(a114,x127671))),f295(a850,x127672,x127671)))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,11164,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,12220,4383,10273,10368,3241,3205,12336,4377,10719,2810,2813,2822,2828,2832,2833,2834,2835,2837,2840,2843,2844,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2871,2874,2875,2885,2887,2888,2906,2908,2913,2918,2919,2933,2943,2944,2945,2948,2949,2953,2956,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,3510,3760,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3086,3051,3554,12359,3046,3846,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,11521,4463,3269,3579,3290,10890,3509,3257,12369,3082,3083,10170,10468,3345,3074,3005,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3523,3695,3456,12634,12638,12642,12646,12660,3743,12040,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,12501,12535,12549,12594,12617,12677,12684,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,12493,12550,12731,12736,12759,4469,11285,11318,11359,11389,12559,12563,3617,3393,3394,12474,12477,12480,12483,12516,3770,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,12261,3923,3879,11702,12061,3826,10644,11867,11887,12074,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,12092,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,12310,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,12494,12522,12606,12613,12620,12625,12628,12631,12668,12687,12698,12742,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,12513,12674,12701,12732,12737,12760,3187,10634,10700,11984,11987,3262,11918,12579,12635,12639,12643,12647,12661,12665,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,12313,3341,10440,10703,10748,11019,11092,11248,11498,12169,12316,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,12326,12578,12598,12601,3248,10465,10495,12560,12564,12567,12570,3285,3280,3701,3637,10151,11412,11445,12540,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,12657,3207,10652,10726,11446,11608,11812,12055,3661,11549,12490,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,12237,3960,3629,10844,10998,11024,11035,12067,12181,3726,12464,3342,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,3967,3660,12329,3604,11532,4477,10124,10127,10453,10456,11282,11476,12280,4478,11386,11485,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5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% 184.38/184.16 cnf(12768,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x127681),x127681))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12770,plain,
% 184.38/184.16 (~P1(f775(f775(f232(f857(a850,a844)),f295(a850,f775(a114,x127701),f775(a114,x127701))),f295(a850,x127702,x127701)))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,11164,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,12220,4383,10273,10368,3241,3205,12336,4377,10719,2810,2813,2822,2828,2832,2833,2834,2835,2837,2840,2843,2844,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2871,2874,2875,2885,2887,2888,2906,2908,2913,2918,2919,2933,2943,2944,2945,2948,2949,2953,2956,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,3510,3760,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3086,3051,3554,12359,3046,3846,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,4408,12174,3176,11518,11521,4463,3269,3579,3290,10890,3509,3257,12369,3082,3083,10170,10468,3345,3074,3005,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3523,3695,3456,12634,12638,12642,12646,12660,3743,12040,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,12501,12535,12549,12594,12617,12677,12684,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,12493,12550,12731,12736,12759,4469,11285,11318,11359,11389,12559,12563,3617,3393,3394,12474,12477,12480,12483,12516,3770,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,12261,3923,3879,11702,12061,3826,10644,11867,11887,12074,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,12092,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,4474,10589,10952,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,12310,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,12494,12522,12606,12613,12620,12625,12628,12631,12668,12687,12698,12742,12768,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,12513,12674,12701,12732,12737,12760,3187,10634,10700,11984,11987,3262,11918,12579,12635,12639,12643,12647,12661,12665,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,12313,3341,10440,10703,10748,11019,11092,11248,11498,12169,12316,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,12326,12578,12598,12601,3248,10465,10495,12560,12564,12567,12570,3285,3280,3701,3637,10151,11412,11445,12540,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,12657,3207,10652,10726,11446,11608,11812,12055,3661,11549,12490,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,3625,10764,10770,10781,11734,11958,3483,10986,12101,12111,12182,12229,12237,3960,3629,10844,10998,11024,11035,12067,12181,3726,12464,3342,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,3967,3660,12329,3604,11532,4477,10124,10127,10453,10456,11282,11476,12280,4478,11386,11485,3630,10423,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,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% 184.38/184.16 cnf(12771,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x127711),x127711))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12774,plain,
% 184.38/184.16 (~P1(f775(f775(f232(a850),f775(a114,x127741)),x127741))),
% 184.38/184.16 inference(rename_variables,[],[4462])).
% 184.38/184.16 cnf(12780,plain,
% 184.38/184.16 (P1(f775(f775(f334(x127801),f775(x127802,x127803)),f775(f303(x127804,x127801,x127802),f239(f857(x127804,a844)))))),
% 184.38/184.16 inference(rename_variables,[],[3787])).
% 184.38/184.16 cnf(12781,plain,
% 184.38/184.16 (P29(x127811,x127811,f7(x127811),x127812)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12786,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x127861,a844)),x127862),f239(f857(x127861,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3561])).
% 184.38/184.16 cnf(12787,plain,
% 184.38/184.16 (P29(x127871,x127871,f7(x127871),x127872)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12791,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x127911,a844)),x127912),f239(f857(x127911,a844))))),
% 184.38/184.16 inference(rename_variables,[],[3561])).
% 184.38/184.16 cnf(12792,plain,
% 184.38/184.16 (P29(x127921,x127921,f7(x127921),x127922)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12796,plain,
% 184.38/184.16 (P29(x127961,x127961,f7(x127961),x127962)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12799,plain,
% 184.38/184.16 (~P1(f775(f775(f233(f857(x127991,a844)),x127992),f180(f857(x127991,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4474])).
% 184.38/184.16 cnf(12802,plain,
% 184.38/184.16 (P29(x128021,x128021,f7(x128021),x128022)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12805,plain,
% 184.38/184.16 (P29(x128051,x128051,f7(x128051),x128052)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12816,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x128161,a844)),f180(f857(x128161,a844))),x128162))),
% 184.38/184.16 inference(rename_variables,[],[3629])).
% 184.38/184.16 cnf(12820,plain,
% 184.38/184.16 (E(f38(x128201,x128202,x128203,x128204,x128205,x128206,x128207,x128208,x128209,a25),x128202)),
% 184.38/184.16 inference(rename_variables,[],[4340])).
% 184.38/184.16 cnf(12824,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x128241),x128242),f180(f857(x128241,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12828,plain,
% 184.38/184.16 (P1(f775(f775(f334(x128281),f775(x128282,x128283)),f775(f303(x128284,x128281,x128282),f239(f857(x128284,a844)))))),
% 184.38/184.16 inference(rename_variables,[],[3787])).
% 184.38/184.16 cnf(12829,plain,
% 184.38/184.16 (P29(x128291,x128291,f7(x128291),x128292)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12839,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x128391),x128392),f180(f857(x128391,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12842,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x128421),x128422),f180(f857(x128421,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12845,plain,
% 184.38/184.16 (E(f38(x128451,x128452,x128453,x128454,x128455,x128456,x128457,x128458,x128459,a25),x128452)),
% 184.38/184.16 inference(rename_variables,[],[4340])).
% 184.38/184.16 cnf(12847,plain,
% 184.38/184.16 (~E(f775(a114,x128471),x128471)),
% 184.38/184.16 inference(rename_variables,[],[4365])).
% 184.38/184.16 cnf(12850,plain,
% 184.38/184.16 (P1(f775(f775(f279(a850),x128501),x128501))),
% 184.38/184.16 inference(rename_variables,[],[3187])).
% 184.38/184.16 cnf(12852,plain,
% 184.38/184.16 (~E(f775(a114,x128521),x128521)),
% 184.38/184.16 inference(rename_variables,[],[4365])).
% 184.38/184.16 cnf(12856,plain,
% 184.38/184.16 (E(f38(x128561,x128562,x128563,x128564,x128565,x128566,x128567,x128568,x128569,a25),x128562)),
% 184.38/184.16 inference(rename_variables,[],[4340])).
% 184.38/184.16 cnf(12857,plain,
% 184.38/184.16 (~E(f775(a114,x128571),x128571)),
% 184.38/184.16 inference(rename_variables,[],[4365])).
% 184.38/184.16 cnf(12861,plain,
% 184.38/184.16 (E(f775(f775(f18(x128611,x128612),x128613),x128614),x128613)),
% 184.38/184.16 inference(rename_variables,[],[3176])).
% 184.38/184.16 cnf(12864,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x128641),f775(a114,x128641)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12865,plain,
% 184.38/184.16 (~E(f775(a114,x128651),x128651)),
% 184.38/184.16 inference(rename_variables,[],[4365])).
% 184.38/184.16 cnf(12868,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x128681),f775(a114,f775(f775(f82(a850),x128682),x128681))))),
% 184.38/184.16 inference(rename_variables,[],[3630])).
% 184.38/184.16 cnf(12869,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x128691),f775(a114,x128691)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12871,plain,
% 184.38/184.16 (~E(f775(f775(f83(a850),f775(a114,f2(a850))),f35(x128711,x128712)),f775(f775(f83(a850),f775(a114,f2(a850))),f36(x128713,x128714)))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,12347,12781,12787,12792,12796,12802,12805,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,11164,12651,12820,12845,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,12220,12595,12847,12852,12857,12865,4383,10273,10368,3241,3205,12336,4377,10719,2810,2813,2822,2828,2832,2833,2834,2835,2837,2840,2843,2844,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2871,2874,2875,2885,2887,2888,2906,2908,2913,2918,2919,2933,2943,2944,2945,2948,2949,2953,2956,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,3510,3760,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3027,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3086,3051,3554,12359,3046,3846,3066,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,12203,4408,12174,3176,11518,11521,12749,4463,10878,3269,3149,3579,3171,3290,10890,3509,3257,12369,3082,3083,10170,10468,4447,3345,3074,3005,3128,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,11008,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,4396,11175,3489,3523,3695,3456,12634,12638,12642,12646,12660,3743,12040,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,12501,12535,12549,12594,12617,12677,12684,12864,3632,11409,3268,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,12493,12550,12731,12736,12759,4469,11285,11318,11359,11389,12559,12563,3617,3393,3394,12474,12477,12480,12483,12516,3770,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,12261,3923,3879,11702,12061,3826,10644,11867,11887,12074,3874,10818,11935,12013,12073,12119,3544,11712,11862,11945,11994,12092,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,12786,12791,4474,10589,10952,12799,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,12310,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,12494,12522,12606,12613,12620,12625,12628,12631,12668,12687,12698,12742,12768,12771,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,12513,12674,12701,12732,12737,12760,3187,10634,10700,11984,11987,3262,11918,12579,12635,12639,12643,12647,12661,12665,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,12313,3341,10440,10703,10748,11019,11092,11248,11498,12169,12316,12719,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,12326,12578,12598,12601,12708,12824,12839,3248,10465,10495,12560,12564,12567,12570,3285,3280,3701,3637,10151,11412,11445,12540,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,12657,12774,3207,10652,10726,11446,11608,11812,12055,3661,11549,12490,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,3498,11405,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,12507,12780,12828,3625,10764,10770,10781,11734,11958,12234,3483,10986,12101,12111,12182,12229,12237,3960,3629,10844,10998,11024,11035,12067,12181,12223,3726,12464,3342,12656,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,12110,3967,3660,12329,3604,11532,4477,10124,10127,10453,10456,11282,11476,12280,4478,11386,11485,3630,10423,10676,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,54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6,5492,5753,5754,5914,6299,6300,6394])).
% 184.38/184.16 cnf(12873,plain,
% 184.38/184.16 (~E(f775(a114,x128731),x128731)),
% 184.38/184.16 inference(rename_variables,[],[4365])).
% 184.38/184.16 cnf(12878,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),f2(a1)),f775(f102(a1),x128781)))),
% 184.38/184.16 inference(rename_variables,[],[3285])).
% 184.38/184.16 cnf(12881,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),f2(a1)),f775(f102(a1),x128811)))),
% 184.38/184.16 inference(rename_variables,[],[3285])).
% 184.38/184.16 cnf(12882,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x128821),x128821))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12885,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),f2(a850)),x128851))),
% 184.38/184.16 inference(rename_variables,[],[3207])).
% 184.38/184.16 cnf(12886,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x128861),x128861))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12889,plain,
% 184.38/184.16 (~E(f775(a114,x128891),f2(a850))),
% 184.38/184.16 inference(rename_variables,[],[4377])).
% 184.38/184.16 cnf(12892,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x128921),x128921))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12896,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x128961,a844)),f775(f158(x128961),f151(x128961,x128962,x128963))),f775(f158(x128961),x128963)))),
% 184.38/184.16 inference(rename_variables,[],[3874])).
% 184.38/184.16 cnf(12901,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x129011),x129012),f180(f857(x129011,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12904,plain,
% 184.38/184.16 (P1(f775(f63(a850),f297(a850,x129041,x129042)))),
% 184.38/184.16 inference(rename_variables,[],[3394])).
% 184.38/184.16 cnf(12905,plain,
% 184.38/184.16 (E(f775(f775(f179(a850),f775(a114,x129051)),f775(a114,x129052)),f775(a114,f775(f775(f179(a850),x129051),x129052)))),
% 184.38/184.16 inference(rename_variables,[],[3356])).
% 184.38/184.16 cnf(12908,plain,
% 184.38/184.16 (P1(f775(f63(a850),f297(a850,x129081,x129082)))),
% 184.38/184.16 inference(rename_variables,[],[3394])).
% 184.38/184.16 cnf(12909,plain,
% 184.38/184.16 (E(f775(f775(f236(a850),f775(a114,x129091)),f775(a114,x129092)),f775(a114,f775(f775(f236(a850),x129091),x129092)))),
% 184.38/184.16 inference(rename_variables,[],[3355])).
% 184.38/184.16 cnf(12912,plain,
% 184.38/184.16 (P1(f775(f63(a850),f297(a850,x129121,x129122)))),
% 184.38/184.16 inference(rename_variables,[],[3394])).
% 184.38/184.16 cnf(12916,plain,
% 184.38/184.16 (P1(f775(f63(a850),f297(a850,x129161,x129162)))),
% 184.38/184.16 inference(rename_variables,[],[3394])).
% 184.38/184.16 cnf(12920,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x129201,a844)),f775(f158(x129201),f775(f126(x129201,x129202),x129203))),f775(f158(x129201),x129203)))),
% 184.38/184.16 inference(rename_variables,[],[3826])).
% 184.38/184.16 cnf(12921,plain,
% 184.38/184.16 (E(f775(f775(f18(x129211,x129212),x129213),x129214),x129213)),
% 184.38/184.16 inference(rename_variables,[],[3176])).
% 184.38/184.16 cnf(12924,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x129241,a844)),f775(f158(x129241),f775(f775(f159(x129241),x129242),x129243))),f775(f158(x129241),x129243)))),
% 184.38/184.16 inference(rename_variables,[],[3869])).
% 184.38/184.16 cnf(12925,plain,
% 184.38/184.16 (E(f775(f775(f18(x129251,x129252),x129253),x129254),x129253)),
% 184.38/184.16 inference(rename_variables,[],[3176])).
% 184.38/184.16 cnf(12929,plain,
% 184.38/184.16 (E(f775(f775(f18(x129291,x129292),x129293),x129294),x129293)),
% 184.38/184.16 inference(rename_variables,[],[3176])).
% 184.38/184.16 cnf(12936,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x129361,a844)),x129362),x129362))),
% 184.38/184.16 inference(rename_variables,[],[3483])).
% 184.38/184.16 cnf(12942,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),f2(a1)),f775(f102(a1),x129421)))),
% 184.38/184.16 inference(rename_variables,[],[3285])).
% 184.38/184.16 cnf(12946,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x129461),x129462),f180(f857(x129461,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12949,plain,
% 184.38/184.16 (P1(f775(f775(f232(f857(x129491,a844)),f775(f158(x129491),f160(x129491,x129492,x129493))),f775(f158(x129491),x129492)))),
% 184.38/184.16 inference(rename_variables,[],[3875])).
% 184.38/184.16 cnf(12953,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x129531),x129532),f180(f857(x129531,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12956,plain,
% 184.38/184.16 (~P1(f775(f775(f334(x129561),x129562),f180(f857(x129561,a844))))),
% 184.38/184.16 inference(rename_variables,[],[4465])).
% 184.38/184.16 cnf(12957,plain,
% 184.38/184.16 (E(f38(x129571,x129572,x129573,x129574,x129575,x129576,x129577,x129578,x129579,a25),x129572)),
% 184.38/184.16 inference(rename_variables,[],[4340])).
% 184.38/184.16 cnf(12958,plain,
% 184.38/184.16 (P29(x129581,x129581,f7(x129581),x129582)),
% 184.38/184.16 inference(rename_variables,[],[3426])).
% 184.38/184.16 cnf(12962,plain,
% 184.38/184.16 (E(f38(x129621,x129622,x129623,x129624,x129625,x129626,x129627,x129628,x129629,a25),x129622)),
% 184.38/184.16 inference(rename_variables,[],[4340])).
% 184.38/184.16 cnf(12968,plain,
% 184.38/184.16 (E(f38(x129681,x129682,x129683,x129684,x129685,x129686,x129687,x129688,x129689,a25),x129682)),
% 184.38/184.16 inference(rename_variables,[],[4340])).
% 184.38/184.16 cnf(12969,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x129691),x129691))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12972,plain,
% 184.38/184.16 (E(f38(x129721,x129722,x129723,x129724,x129725,x129726,x129727,x129728,x129729,a25),x129722)),
% 184.38/184.16 inference(rename_variables,[],[4340])).
% 184.38/184.16 cnf(12973,plain,
% 184.38/184.16 (P1(f775(f775(f232(a1),x129731),x129731))),
% 184.38/184.16 inference(rename_variables,[],[3186])).
% 184.38/184.16 cnf(12976,plain,
% 184.38/184.16 (E(f38(x129761,x129762,x129763,x129764,x129765,x129766,x129767,x129768,x129769,a25),x129762)),
% 184.38/184.16 inference(rename_variables,[],[4340])).
% 184.38/184.16 cnf(12980,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x129801),f775(a114,x129801)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12982,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x129821),x129821))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12983,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),f2(a850)),x129831))),
% 184.38/184.16 inference(rename_variables,[],[3207])).
% 184.38/184.16 cnf(12986,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),x129861),f775(a114,x129861)))),
% 184.38/184.16 inference(rename_variables,[],[3254])).
% 184.38/184.16 cnf(12988,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),x129881),x129881))),
% 184.38/184.16 inference(rename_variables,[],[3185])).
% 184.38/184.16 cnf(12989,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),f2(a850)),x129891))),
% 184.38/184.16 inference(rename_variables,[],[3207])).
% 184.38/184.16 cnf(12993,plain,
% 184.38/184.16 (P1(f775(f775(f232(a850),f2(a850)),x129931))),
% 184.38/184.16 inference(rename_variables,[],[3207])).
% 184.38/184.16 cnf(12994,plain,
% 184.38/184.16 (P1(f775(f775(f233(a850),f2(a850)),f775(a114,x129941)))),
% 184.38/184.16 inference(rename_variables,[],[3268])).
% 184.38/184.16 cnf(12995,plain,
% 184.38/184.16 (E(f38(x129951,x129952,x129953,x129954,x129955,x129956,x129957,x129958,x129959,a25),x129952)),
% 184.38/184.16 inference(rename_variables,[],[4340])).
% 184.38/184.16 cnf(12998,plain,
% 184.38/184.16 (P1(f775(f55(f38(x129981,f775(f775(f82(a850),f775(f775(f83(a850),f775(f240(a850,a850),f775(f775(f241(a850,a850),f2(a850)),x129982))),f775(a114,f775(f775(f82(a850),x129983),f775(f250(a850,a850),f775(f775(f241(a850,a850),f2(a850)),x129982)))))),f775(f250(a850,a850),f775(f775(f241(a850,a850),f2(a850)),x129982))),x129984,x129985,x129986,x129987,x129988,x129989,x1299810,a25),f775(a114,f775(f775(f82(a850),x129983),f775(f250(a850,a850),f775(f775(f241(a850,a850),f2(a850)),x129982))))),f775(f775(f241(a850,a850),f2(a850)),x129982)))),
% 184.38/184.16 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,12347,12781,12787,12792,12796,12802,12805,12829,12958,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,11164,12651,12820,12845,12856,12957,12962,12968,12972,12976,12995,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,12220,12595,12847,12852,12857,12865,4383,10273,10368,3241,3205,12336,4377,10719,12508,12889,2810,2813,2822,2828,2832,2833,2834,2835,2837,2840,2843,2844,2845,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2871,2874,2875,2885,2887,2888,2893,2906,2908,2913,2918,2919,2933,2943,2944,2945,2948,2949,2953,2956,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,3510,3760,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3027,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3086,3051,3554,12359,3046,3846,3066,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,12203,4408,12174,3176,11518,11521,12749,12861,12921,12925,12929,4463,10878,3269,3149,3579,3171,3290,10890,3509,3282,3257,12369,3082,3083,10170,10468,4447,3345,3074,3005,3128,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,11008,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,3366,4396,11175,3489,3523,3695,3456,12634,12638,12642,12646,12660,3743,12040,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,12501,12535,12549,12594,12617,12677,12684,12864,12869,12980,12986,3632,11409,3268,11533,12994,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,12493,12550,12731,12736,12759,4469,11285,11318,11359,11389,12559,12563,3617,3393,3394,12474,12477,12480,12483,12516,12519,12904,12908,12912,3396,3770,3355,12909,3356,12905,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,12261,3923,3879,11702,12061,3826,10644,11867,11887,12074,12725,12920,3869,12924,3874,10818,11935,12013,12073,12119,12752,12896,3875,3544,11712,11862,11945,11994,12092,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,12786,12791,4474,10589,10952,12799,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,12310,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,12494,12522,12606,12613,12620,12625,12628,12631,12668,12687,12698,12742,12768,12771,12886,12982,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,12513,12674,12701,12732,12737,12760,12765,12882,12892,12969,12973,3187,10634,10700,11984,11987,12850,3262,11918,12579,12635,12639,12643,12647,12661,12665,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,12313,3341,10440,10703,10748,11019,11092,11248,11498,12169,12316,12719,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,12326,12578,12598,12601,12708,12824,12839,12842,12901,12946,12953,12956,3248,10465,10495,12560,12564,12567,12570,3285,12878,12881,3280,3701,3637,10151,11412,11445,12540,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,12657,12774,3207,10652,10726,11446,11608,11812,12055,12591,12885,12983,12989,12993,3661,11549,12490,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,4183,3498,11405,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,12507,12780,12828,3625,10764,10770,10781,11734,11958,12234,3483,10986,12101,12111,12182,12229,12237,12323,12936,3960,3629,10844,10998,11024,11035,12067,12181,12223,12816,3726,12464,3342,12656,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,12110,3967,3660,12329,3604,11532,4477,10124,10127,10453,10456,11282,11476,12280,4478,11386,11485,3630,10423,10676,12868,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986,7987,7988,8008,8009,8043,8047,8051,8060,8074,8101,8105,8111,8124,8143,8149,8171,8211,8241,8253,8270,8273,8302,8329,8393,8394,8397,8398,8415,8505,8506,8507,8508,8531,8555,8577,8619,8637,8690,8731,8734,8747,8784,8802,8818,8819,8834,8835,8963,8968,8986,9002,9022,9024,9027,9030,9033,9034,9046,9047,9070,9143,9178,9179,9244,9250,9284,9295,9299,9303,9304,9318,9342,9353,9362,9363,9365,9367,9394,9510,9589,9727,9728,9798,9868,9948,9959,9964,3,2551,2555,2556,2562,2563,2564,2565,2567,2568,2569,2570,2579,2580,2581,2587,2588,2596,2597,2598,2611,2615,2616,2617,2623,2627,2628,2629,2632,2643,2644,2646,2647,2648,2649,2658,2659,2661,2664,2667,2668,2681,2683,2684,2686,2697,2701,2705,2710,2711,2712,2716,2734,2735,2742,2745,2746,2754,2759,2762,2763,2764,2766,2776,2800,2801,5172,5345,5351,5352,5429,5521,5550,5582,5598,5604,5606,5667,5668,5669,5670,5686,5721,5850,5896,5921,5957,5992,5996,6145,6152,6190,6191,6212,6214,6216,6222,6223,6224,6225,6226,6227,6228,6229,6230,6317,6391,6392,6483,6518,6519,6560,6561,6710,6723,6784,6805,6806,6810,6835,6859,6868,6870,6874,6917,6941,6942,6958,6959,6961,6992,7040,7041,7137,7206,7207,7208,7209,7225,7265,7279,7323,7324,7333,7342,7344,7356,7391,7392,7393,7394,7539,7540,7546,7547,7549,7551,7627,7761,7764,7766,7767,7782,7820,7897,7941,7995,8014,8015,8087,8184,8251,8252,8254,8286,8325,8354,8355,8446,8447,8448,8449,8581,8798,8799,8859,8874,8928,8929,9043,9074,9097,9127,9158,9340,9584,9766,9823,9826,5492,5753,5754,5914,6299,6300,6394,6414,6415,6804,6858,7078,8239,8441,8518,8724,8885,8886,8951,8952,9194,9195,9196,9197,9396,9647,9824,9947,9955,10008,10009,6374,7319,7581,7582,8346,8347,8771,8785])).
% 184.38/184.17 cnf(13069,plain,
% 184.38/184.17 (P1(f775(f775(f233(a1),f2(a1)),f775(f77(a1),f80(a1))))),
% 184.38/184.17 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,12347,12781,12787,12792,12796,12802,12805,12829,12958,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,11164,12651,12820,12845,12856,12957,12962,12968,12972,12976,12995,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,12220,12595,12847,12852,12857,12865,4383,10273,10368,3241,3205,12336,4377,10719,12508,12889,2810,2813,2822,2823,2828,2832,2833,2834,2835,2837,2840,2843,2844,2845,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2871,2874,2875,2885,2887,2888,2893,2906,2908,2913,2916,2918,2919,2933,2943,2944,2945,2948,2949,2953,2956,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,3510,3760,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3027,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3086,3051,3554,12359,3046,3846,3066,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,12203,4408,12174,3176,11518,11521,12749,12861,12921,12925,12929,4463,10878,3269,3149,3579,3171,3290,10890,3509,3282,3257,12369,3082,3083,10170,10468,4447,3345,3074,3005,3128,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,11008,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,3366,4396,11175,3489,3523,3695,3456,12634,12638,12642,12646,12660,3743,12040,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,12501,12535,12549,12594,12617,12677,12684,12864,12869,12980,12986,3632,11409,3268,11533,12994,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,12493,12550,12731,12736,12759,12764,4469,11285,11318,11359,11389,12559,12563,3617,3393,3394,12474,12477,12480,12483,12516,12519,12904,12908,12912,3396,3770,3355,12909,3356,12905,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,12261,3923,3879,11702,12061,3826,10644,11867,11887,12074,12725,12920,3869,12924,3874,10818,11935,12013,12073,12119,12752,12896,3875,12949,3544,11712,11862,11945,11994,12092,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,12786,12791,4474,10589,10952,12799,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,12310,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,12494,12522,12606,12613,12620,12625,12628,12631,12668,12687,12698,12742,12768,12771,12886,12982,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,12513,12674,12701,12732,12737,12760,12765,12882,12892,12969,12973,3187,10634,10700,11984,11987,12850,3262,11918,12579,12635,12639,12643,12647,12661,12665,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,12313,3341,10440,10703,10748,11019,11092,11248,11498,12169,12316,12719,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,12326,12578,12598,12601,12708,12824,12839,12842,12901,12946,12953,12956,3248,10465,10495,12560,12564,12567,12570,3285,12878,12881,12942,3280,3701,3637,10151,11412,11445,12540,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,12657,12774,3207,10652,10726,11446,11608,11812,12055,12591,12885,12983,12989,12993,3661,11549,12490,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,4183,3498,11405,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,12507,12780,12828,3625,10764,10770,10781,11734,11958,12234,3483,10986,12101,12111,12182,12229,12237,12323,12936,3960,3629,10844,10998,11024,11035,12067,12181,12223,12816,3726,12464,3342,12656,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,12110,3967,3660,12329,3604,11532,4477,10124,10127,10453,10456,11282,11476,12280,4478,11386,11485,3630,10423,10676,12868,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986,7987,7988,8008,8009,8043,8047,8051,8060,8074,8101,8105,8111,8124,8143,8149,8171,8211,8241,8253,8270,8273,8302,8329,8393,8394,8397,8398,8415,8505,8506,8507,8508,8531,8555,8577,8619,8637,8690,8731,8734,8747,8784,8802,8818,8819,8834,8835,8963,8968,8986,9002,9022,9024,9027,9030,9033,9034,9046,9047,9070,9143,9178,9179,9244,9250,9284,9295,9299,9303,9304,9318,9342,9353,9362,9363,9365,9367,9394,9510,9589,9727,9728,9798,9868,9948,9959,9964,3,2551,2555,2556,2562,2563,2564,2565,2567,2568,2569,2570,2579,2580,2581,2587,2588,2596,2597,2598,2611,2615,2616,2617,2623,2627,2628,2629,2632,2643,2644,2646,2647,2648,2649,2658,2659,2661,2664,2667,2668,2681,2683,2684,2686,2697,2701,2705,2710,2711,2712,2716,2734,2735,2742,2745,2746,2754,2759,2762,2763,2764,2766,2776,2800,2801,5172,5345,5351,5352,5429,5521,5550,5582,5598,5604,5606,5667,5668,5669,5670,5686,5721,5850,5896,5921,5957,5992,5996,6145,6152,6190,6191,6212,6214,6216,6222,6223,6224,6225,6226,6227,6228,6229,6230,6317,6391,6392,6483,6518,6519,6560,6561,6710,6723,6784,6805,6806,6810,6835,6859,6868,6870,6874,6917,6941,6942,6958,6959,6961,6992,7040,7041,7137,7206,7207,7208,7209,7225,7265,7279,7323,7324,7333,7342,7344,7356,7391,7392,7393,7394,7539,7540,7546,7547,7549,7551,7627,7761,7764,7766,7767,7782,7820,7897,7941,7995,8014,8015,8087,8184,8251,8252,8254,8286,8325,8354,8355,8446,8447,8448,8449,8581,8798,8799,8859,8874,8928,8929,9043,9074,9097,9127,9158,9340,9584,9766,9823,9826,5492,5753,5754,5914,6299,6300,6394,6414,6415,6804,6858,7078,8239,8441,8518,8724,8885,8886,8951,8952,9194,9195,9196,9197,9396,9647,9824,9947,9955,10008,10009,6374,7319,7581,7582,8346,8347,8771,8785,9648,10007,4519,4556,4557,4558,4613,4621,4750,4764,4765,4793,4794,4821,4879,4881,4939,5051,5079,5112,5113,5115,5120,5122,5123,5146,5214,5235,5366,5434,5546])).
% 184.38/184.17 cnf(13105,plain,
% 184.38/184.17 (~P1(f775(f63(x131051),f44(f857(x131051,a844),f239(f857(f857(x131051,a844),a844)))))),
% 184.38/184.17 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,12347,12781,12787,12792,12796,12802,12805,12829,12958,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,11164,12651,12820,12845,12856,12957,12962,12968,12972,12976,12995,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,12220,12595,12847,12852,12857,12865,4383,10273,10368,3241,3205,12336,4377,10719,12508,12889,2810,2813,2822,2823,2828,2832,2833,2834,2835,2837,2840,2843,2844,2845,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2871,2874,2875,2885,2887,2888,2893,2906,2908,2913,2916,2918,2919,2933,2943,2944,2945,2948,2949,2953,2956,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,3510,3760,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3027,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3086,3051,3554,12359,3046,3846,3066,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,12203,4408,12174,3176,11518,11521,12749,12861,12921,12925,12929,4463,10878,3269,3149,3579,3171,3290,10890,3509,3282,3257,12369,3082,3083,10170,10468,4447,3345,3074,3005,3128,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,11008,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,3366,4396,11175,3489,3523,3695,3456,12634,12638,12642,12646,12660,3743,12040,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,12501,12535,12549,12594,12617,12677,12684,12864,12869,12980,12986,3632,11409,3268,11533,12994,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,12493,12550,12731,12736,12759,12764,4469,11285,11318,11359,11389,12559,12563,3617,3393,3394,12474,12477,12480,12483,12516,12519,12904,12908,12912,3396,3770,3355,12909,3356,12905,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,12261,3923,3879,11702,12061,3826,10644,11867,11887,12074,12725,12920,3869,12924,3874,10818,11935,12013,12073,12119,12752,12896,3875,12949,3544,11712,11862,11945,11994,12092,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,12786,12791,4474,10589,10952,12799,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,12310,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,12494,12522,12606,12613,12620,12625,12628,12631,12668,12687,12698,12742,12768,12771,12886,12982,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,12513,12674,12701,12732,12737,12760,12765,12882,12892,12969,12973,3187,10634,10700,11984,11987,12850,3262,11918,12579,12635,12639,12643,12647,12661,12665,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,12313,3341,10440,10703,10748,11019,11092,11248,11498,12169,12316,12719,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,12326,12578,12598,12601,12708,12824,12839,12842,12901,12946,12953,12956,3248,10465,10495,12560,12564,12567,12570,3285,12878,12881,12942,3280,3701,3637,10151,11412,11445,12540,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,12657,12774,3207,10652,10726,11446,11608,11812,12055,12591,12885,12983,12989,12993,3661,11549,12490,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,4183,3498,11405,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,12507,12780,12828,3625,10764,10770,10781,11734,11958,12234,3483,10986,12101,12111,12182,12229,12237,12323,12936,3960,3629,10844,10998,11024,11035,12067,12181,12223,12816,3726,12464,3342,12656,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,12110,3967,3660,12329,3604,11532,4477,10124,10127,10453,10456,11282,11476,12280,4478,11386,11485,3630,10423,10676,12868,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986,7987,7988,8008,8009,8043,8047,8051,8060,8074,8101,8105,8111,8124,8143,8149,8171,8211,8241,8253,8270,8273,8302,8329,8393,8394,8397,8398,8415,8505,8506,8507,8508,8531,8555,8577,8619,8637,8690,8731,8734,8747,8784,8802,8818,8819,8834,8835,8963,8968,8986,9002,9022,9024,9027,9030,9033,9034,9046,9047,9070,9143,9178,9179,9244,9250,9284,9295,9299,9303,9304,9318,9342,9353,9362,9363,9365,9367,9394,9510,9589,9727,9728,9798,9868,9948,9959,9964,3,2551,2555,2556,2562,2563,2564,2565,2567,2568,2569,2570,2579,2580,2581,2587,2588,2596,2597,2598,2611,2615,2616,2617,2623,2627,2628,2629,2632,2643,2644,2646,2647,2648,2649,2658,2659,2661,2664,2667,2668,2681,2683,2684,2686,2697,2701,2705,2710,2711,2712,2716,2734,2735,2742,2745,2746,2754,2759,2762,2763,2764,2766,2776,2800,2801,5172,5345,5351,5352,5429,5521,5550,5582,5598,5604,5606,5667,5668,5669,5670,5686,5721,5850,5896,5921,5957,5992,5996,6145,6152,6190,6191,6212,6214,6216,6222,6223,6224,6225,6226,6227,6228,6229,6230,6317,6391,6392,6483,6518,6519,6560,6561,6710,6723,6784,6805,6806,6810,6835,6859,6868,6870,6874,6917,6941,6942,6958,6959,6961,6992,7040,7041,7137,7206,7207,7208,7209,7225,7265,7279,7323,7324,7333,7342,7344,7356,7391,7392,7393,7394,7539,7540,7546,7547,7549,7551,7627,7761,7764,7766,7767,7782,7820,7897,7941,7995,8014,8015,8087,8184,8251,8252,8254,8286,8325,8354,8355,8446,8447,8448,8449,8581,8798,8799,8859,8874,8928,8929,9043,9074,9097,9127,9158,9340,9584,9766,9823,9826,5492,5753,5754,5914,6299,6300,6394,6414,6415,6804,6858,7078,8239,8441,8518,8724,8885,8886,8951,8952,9194,9195,9196,9197,9396,9647,9824,9947,9955,10008,10009,6374,7319,7581,7582,8346,8347,8771,8785,9648,10007,4519,4556,4557,4558,4613,4621,4750,4764,4765,4793,4794,4821,4879,4881,4939,5051,5079,5112,5113,5115,5120,5122,5123,5146,5214,5235,5366,5434,5546,5547,5571,5572,5576,5611,5634,5636,5644,5650,5734,5813,5872,5916,5939,5961,6012,6058,6134])).
% 184.38/184.17 cnf(13121,plain,
% 184.38/184.17 (~P1(f775(f775(f233(a850),f2(a850)),f37(x131211,f2(a850),x131212,x131213,x131214,x131215,x131216,x131217,x131218,a25)))),
% 184.38/184.17 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,12347,12781,12787,12792,12796,12802,12805,12829,12958,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,11164,12651,12820,12845,12856,12957,12962,12968,12972,12976,12995,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,12220,12595,12847,12852,12857,12865,4383,10273,10368,3241,3205,12336,4377,10719,12508,12889,2810,2813,2822,2823,2828,2832,2833,2834,2835,2837,2840,2843,2844,2845,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2871,2874,2875,2885,2887,2888,2893,2906,2908,2913,2916,2918,2919,2933,2943,2944,2945,2948,2949,2953,2956,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,3510,3760,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3027,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3086,3051,3554,12359,3046,3846,3066,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,12203,4408,12174,3176,11518,11521,12749,12861,12921,12925,12929,4463,10878,3269,3149,3579,3171,3290,10890,3509,3282,3257,12369,3082,3083,10170,10468,4447,3345,3074,3005,3128,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,11008,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,3366,4396,11175,3489,3523,3695,3456,12634,12638,12642,12646,12660,3743,12040,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,12501,12535,12549,12594,12617,12677,12684,12864,12869,12980,12986,3632,11409,3268,11533,12994,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,12493,12550,12731,12736,12759,12764,4469,11285,11318,11359,11389,12559,12563,3617,3393,3394,12474,12477,12480,12483,12516,12519,12904,12908,12912,3396,3770,3355,12909,3356,12905,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,12261,3923,3879,11702,12061,3826,10644,11867,11887,12074,12725,12920,3869,12924,3874,10818,11935,12013,12073,12119,12752,12896,3875,12949,3544,11712,11862,11945,11994,12092,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,12786,12791,4474,10589,10952,12799,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,12310,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,12494,12522,12606,12613,12620,12625,12628,12631,12668,12687,12698,12742,12768,12771,12886,12982,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,12513,12674,12701,12732,12737,12760,12765,12882,12892,12969,12973,3187,10634,10700,11984,11987,12850,3262,11918,12579,12635,12639,12643,12647,12661,12665,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,12313,3341,10440,10703,10748,11019,11092,11248,11498,12169,12316,12719,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,12326,12578,12598,12601,12708,12824,12839,12842,12901,12946,12953,12956,3248,10465,10495,12560,12564,12567,12570,3285,12878,12881,12942,3280,3701,3637,10151,11412,11445,12540,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,12657,12774,3207,10652,10726,11446,11608,11812,12055,12591,12885,12983,12989,12993,3661,11549,12490,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,4183,3498,11405,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,12507,12780,12828,3625,10764,10770,10781,11734,11958,12234,3483,10986,12101,12111,12182,12229,12237,12323,12936,3960,3629,10844,10998,11024,11035,12067,12181,12223,12816,3726,12464,3342,12656,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,12110,3967,3660,12329,3604,11532,4477,10124,10127,10453,10456,11282,11476,12280,4478,11386,11485,3630,10423,10676,12868,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986,7987,7988,8008,8009,8043,8047,8051,8060,8074,8101,8105,8111,8124,8143,8149,8171,8211,8241,8253,8270,8273,8302,8329,8393,8394,8397,8398,8415,8505,8506,8507,8508,8531,8555,8577,8619,8637,8690,8731,8734,8747,8784,8802,8818,8819,8834,8835,8963,8968,8986,9002,9022,9024,9027,9030,9033,9034,9046,9047,9070,9143,9178,9179,9244,9250,9284,9295,9299,9303,9304,9318,9342,9353,9362,9363,9365,9367,9394,9510,9589,9727,9728,9798,9868,9948,9959,9964,3,2551,2555,2556,2562,2563,2564,2565,2567,2568,2569,2570,2579,2580,2581,2587,2588,2596,2597,2598,2611,2615,2616,2617,2623,2627,2628,2629,2632,2643,2644,2646,2647,2648,2649,2658,2659,2661,2664,2667,2668,2681,2683,2684,2686,2697,2701,2705,2710,2711,2712,2716,2734,2735,2742,2745,2746,2754,2759,2762,2763,2764,2766,2776,2800,2801,5172,5345,5351,5352,5429,5521,5550,5582,5598,5604,5606,5667,5668,5669,5670,5686,5721,5850,5896,5921,5957,5992,5996,6145,6152,6190,6191,6212,6214,6216,6222,6223,6224,6225,6226,6227,6228,6229,6230,6317,6391,6392,6483,6518,6519,6560,6561,6710,6723,6784,6805,6806,6810,6835,6859,6868,6870,6874,6917,6941,6942,6958,6959,6961,6992,7040,7041,7137,7206,7207,7208,7209,7225,7265,7279,7323,7324,7333,7342,7344,7356,7391,7392,7393,7394,7539,7540,7546,7547,7549,7551,7627,7761,7764,7766,7767,7782,7820,7897,7941,7995,8014,8015,8087,8184,8251,8252,8254,8286,8325,8354,8355,8446,8447,8448,8449,8581,8798,8799,8859,8874,8928,8929,9043,9074,9097,9127,9158,9340,9584,9766,9823,9826,5492,5753,5754,5914,6299,6300,6394,6414,6415,6804,6858,7078,8239,8441,8518,8724,8885,8886,8951,8952,9194,9195,9196,9197,9396,9647,9824,9947,9955,10008,10009,6374,7319,7581,7582,8346,8347,8771,8785,9648,10007,4519,4556,4557,4558,4613,4621,4750,4764,4765,4793,4794,4821,4879,4881,4939,5051,5079,5112,5113,5115,5120,5122,5123,5146,5214,5235,5366,5434,5546,5547,5571,5572,5576,5611,5634,5636,5644,5650,5734,5813,5872,5916,5939,5961,6012,6058,6134,6258,6425,6464,6641,6642,6801,6871,6910])).
% 184.38/184.17 cnf(13152,plain,
% 184.38/184.17 (~E(f775(a114,x131521),x131521)),
% 184.38/184.17 inference(rename_variables,[],[4365])).
% 184.38/184.17 cnf(13176,plain,
% 184.38/184.17 (P1(f775(f775(f279(a1),f2(a1)),f52(a1,f2(a1),f2(a1))))),
% 184.38/184.17 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,12347,12781,12787,12792,12796,12802,12805,12829,12958,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,11164,12651,12820,12845,12856,12957,12962,12968,12972,12976,12995,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,12220,12595,12847,12852,12857,12865,12873,4383,10273,10368,3241,3205,12336,4377,10719,12508,12889,2810,2813,2822,2823,2828,2832,2833,2834,2835,2837,2840,2843,2844,2845,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2871,2874,2875,2885,2887,2888,2893,2906,2908,2913,2916,2918,2919,2933,2936,2943,2944,2945,2948,2949,2953,2956,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,3510,3760,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3027,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3084,3086,3051,3554,12359,3046,3846,3066,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,12203,4408,12174,3176,11518,11521,12749,12861,12921,12925,12929,4463,10878,3269,3149,3579,3171,3290,10890,3509,3282,3257,12369,3082,3083,10170,10468,4447,3345,3074,3005,3128,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,11008,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,3366,4396,11175,3489,3523,3695,3456,12634,12638,12642,12646,12660,3743,12040,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,12501,12535,12549,12594,12617,12677,12684,12864,12869,12980,12986,3632,11409,3268,11533,12994,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,12493,12550,12731,12736,12759,12764,4469,11285,11318,11359,11389,12559,12563,3617,3393,3394,12474,12477,12480,12483,12516,12519,12904,12908,12912,12916,3396,3770,3355,12909,3356,12905,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,12261,3923,3879,11702,12061,3826,10644,11867,11887,12074,12725,12920,3869,12924,3874,10818,11935,12013,12073,12119,12752,12896,3875,12949,3544,11712,11862,11945,11994,12092,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,12786,12791,4474,10589,10952,12799,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,12310,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,12494,12522,12606,12613,12620,12625,12628,12631,12668,12687,12698,12742,12768,12771,12886,12982,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,12513,12674,12701,12732,12737,12760,12765,12882,12892,12969,12973,3187,10634,10700,11984,11987,12850,3262,11918,12579,12635,12639,12643,12647,12661,12665,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,12313,3341,10440,10703,10748,11019,11092,11248,11498,12169,12316,12719,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,12326,12578,12598,12601,12708,12824,12839,12842,12901,12946,12953,12956,3248,10465,10495,12560,12564,12567,12570,3285,12878,12881,12942,3280,3701,3637,10151,11412,11445,12540,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,12657,12774,3207,10652,10726,11446,11608,11812,12055,12591,12885,12983,12989,12993,3661,11549,12490,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,4183,3498,11405,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,12507,12780,12828,3625,10764,10770,10781,11734,11958,12234,3483,10986,12101,12111,12182,12229,12237,12323,12936,3960,3629,10844,10998,11024,11035,12067,12181,12223,12816,3726,12464,3342,12656,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,12110,3967,3660,12329,3604,11532,4477,10124,10127,10453,10456,11282,11476,12280,4478,11386,11485,3630,10423,10676,12868,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,4795,4796,4833,4856,4857,4880,4882,4895,4899,4919,4925,4942,4946,4947,4952,4957,4958,4980,5004,5005,5015,5020,5026,5071,5072,5080,5089,5091,5092,5101,5103,5111,5116,5129,5135,5138,5139,5143,5176,5186,5193,5195,5196,5199,5200,5201,5209,5210,5213,5217,5218,5219,5226,5230,5231,5232,5240,5243,5245,5251,5262,5269,5282,5284,5292,5293,5297,5300,5325,5331,5341,5342,5343,5358,5370,5392,5398,5416,5417,5420,5439,5447,5448,5450,5451,5460,5461,5475,5479,5488,5489,5491,5506,5509,5520,5531,5538,5551,5557,5563,5564,5565,5568,5573,5610,5612,5615,5617,5620,5621,5622,5624,5626,5628,5631,5638,5652,5666,5672,5673,5692,5693,5698,5699,5701,5704,5707,5708,5713,5757,5771,5779,5783,5795,5805,5822,5840,5843,5853,5880,5895,5922,5942,5943,5946,5960,5962,5963,5965,5978,5979,5982,5984,5987,5988,6002,6008,6009,6010,6013,6015,6057,6067,6076,6111,6113,6115,6117,6127,6129,6132,6138,6140,6144,6147,6155,6162,6163,6164,6170,6196,6203,6210,6246,6247,6251,6252,6253,6254,6255,6256,6257,6264,6301,6302,6311,6331,6332,6357,6361,6372,6373,6381,6412,6413,6428,6450,6451,6470,6473,6474,6520,6528,6553,6594,6610,6620,6629,6630,6631,6632,6654,6655,6661,6673,6676,6679,6681,6682,6683,6685,6699,6713,6715,6716,6727,6730,6787,6800,6802,6808,6822,6825,6826,6863,6878,6906,6940,6990,7022,7079,7107,7110,7168,7180,7247,7249,7264,7274,7277,7278,7296,7302,7304,7357,7367,7373,7376,7389,7434,7437,7441,7488,7489,7507,7570,7577,7596,7620,7642,7656,7672,7681,7689,7718,7720,7722,7730,7774,7784,7809,7867,7899,7933,7978,7993,8081,8129,8148,8172,8191,8213,8312,8314,8320,8340,8344,8358,8379,8390,8392,8404,8410,8414,8438,8453,8454,8465,8466,8467,8473,8474,8479,8480,8481,8482,8483,8501,8502,8503,8511,8523,8525,8539,8541,8547,8552,8573,8574,8603,8616,8620,8638,8659,8660,8662,8663,8673,8674,8696,8705,8712,8713,8714,8715,8738,8739,8750,8786,8792,8796,8809,8812,8814,8815,8822,8831,8896,8925,8926,8927,8941,8955,8961,8988,8989,8990,8991,8992,8995,9032,9035,9059,9093,9103,9104,9114,9124,9125,9139,9149,9151,9170,9192,9253,9291,9292,9293,9319,9320,9337,9354,9361,9372,9395,9413,9423,9424,9425,9426,9427,9442,9447,9482,9483,9489,9490,9526,9527,9552,9576,9578,9579,9594,9600,9624,9653,9700,9737,9750,9752,9756,9757,9759,9768,9769,9789,9794,9815,9820,9891,9967,9968,10019,2,8,9,4504,4520,4551,4552,4554,4578,4586,4587,4598,4645,4647,4690,4718,4810,4811,4827,4846,4902,4905,4906,4909,4910,4922,4932,4944,4945,4955,4964,4975,4976,4994,4999,5000,5001,5002,5003,5011,5014,5021,5085,5095,5126,5136,5141,5157,5175,5182,5183,5185,5190,5205,5207,5208,5215,5222,5223,5236,5237,5238,5239,5241,5242,5247,5248,5249,5250,5278,5279,5280,5288,5289,5290,5291,5320,5336,5338,5340,5377,5379,5380,5382,5383,5385,5386,5388,5397,5402,5404,5406,5407,5408,5409,5410,5411,5418,5428,5431,5442,5454,5455,5458,5468,5471,5472,5473,5498,5508,5522,5523,5532,5533,5535,5537,5541,5575,5579,5581,5639,5674,5675,5688,5691,5694,5695,5696,5697,5705,5709,5719,5720,5722,5723,5731,5752,5787,5800,5801,5802,5806,5816,5830,5834,5835,5836,5839,5855,5866,5867,5897,5898,5902,5924,5928,5931,5949,5954,5955,5980,5983,5991,5998,6000,6007,6011,6019,6020,6021,6022,6060,6061,6077,6131,6165,6167,6168,6192,6193,6195,6199,6200,6206,6220,6239,6259,6260,6265,6277,6278,6281,6294,6315,6320,6322,6336,6337,6341,6343,6344,6345,6347,6349,6350,6351,6359,6366,6367,6368,6369,6375,6377,6384,6421,6427,6442,6445,6446,6447,6485,6487,6489,6494,6495,6506,6509,6524,6549,6550,6551,6552,6563,6567,6584,6588,6612,6633,6649,6650,6651,6656,6669,6691,6693,6695,6697,6700,6701,6709,6711,6724,6732,6772,6775,6776,6792,6793,6794,6795,6815,6816,6834,6861,6883,6893,6895,6896,6898,6900,6901,6936,6937,6938,6943,6944,6946,6948,6949,6950,6972,6980,6981,6993,7003,7046,7055,7061,7069,7080,7085,7087,7093,7101,7114,7131,7148,7150,7160,7166,7227,7229,7230,7231,7239,7240,7246,7248,7273,7318,7337,7354,7370,7371,7388,7416,7420,7445,7472,7490,7493,7494,7504,7522,7523,7525,7527,7529,7531,7532,7533,7585,7586,7619,7621,7622,7623,7629,7648,7657,7668,7673,7679,7680,7686,7696,7697,7699,7728,7755,7785,7822,7823,7870,7877,7878,7900,7901,7920,7921,7986,7987,7988,8008,8009,8043,8047,8051,8060,8074,8101,8105,8111,8124,8143,8149,8171,8211,8241,8253,8270,8273,8302,8329,8393,8394,8397,8398,8415,8505,8506,8507,8508,8531,8555,8577,8619,8637,8690,8731,8734,8747,8784,8802,8818,8819,8834,8835,8963,8968,8986,9002,9022,9024,9027,9030,9033,9034,9046,9047,9070,9143,9178,9179,9244,9250,9284,9295,9299,9303,9304,9318,9342,9353,9362,9363,9365,9367,9394,9510,9589,9727,9728,9798,9868,9948,9959,9964,3,2551,2555,2556,2562,2563,2564,2565,2567,2568,2569,2570,2579,2580,2581,2587,2588,2596,2597,2598,2611,2615,2616,2617,2623,2627,2628,2629,2632,2643,2644,2646,2647,2648,2649,2658,2659,2661,2664,2667,2668,2681,2683,2684,2686,2697,2701,2705,2710,2711,2712,2716,2734,2735,2742,2745,2746,2754,2759,2762,2763,2764,2766,2776,2800,2801,5172,5345,5351,5352,5429,5521,5550,5582,5598,5604,5606,5667,5668,5669,5670,5686,5721,5850,5896,5921,5957,5992,5996,6145,6152,6190,6191,6212,6214,6216,6222,6223,6224,6225,6226,6227,6228,6229,6230,6317,6391,6392,6483,6518,6519,6560,6561,6710,6723,6784,6805,6806,6810,6835,6859,6868,6870,6874,6917,6941,6942,6958,6959,6961,6992,7040,7041,7137,7206,7207,7208,7209,7225,7265,7279,7323,7324,7333,7342,7344,7356,7391,7392,7393,7394,7539,7540,7546,7547,7549,7551,7627,7761,7764,7766,7767,7782,7820,7897,7941,7995,8014,8015,8087,8184,8251,8252,8254,8286,8325,8354,8355,8446,8447,8448,8449,8581,8798,8799,8859,8874,8928,8929,9043,9074,9097,9127,9158,9340,9584,9766,9823,9826,5492,5753,5754,5914,6299,6300,6394,6414,6415,6804,6858,7078,8239,8441,8518,8724,8885,8886,8951,8952,9194,9195,9196,9197,9396,9647,9824,9947,9955,10008,10009,6374,7319,7581,7582,8346,8347,8771,8785,9648,10007,4519,4556,4557,4558,4613,4621,4750,4764,4765,4793,4794,4821,4879,4881,4939,5051,5079,5112,5113,5115,5120,5122,5123,5146,5214,5235,5366,5434,5546,5547,5571,5572,5576,5611,5634,5636,5644,5650,5734,5813,5872,5916,5939,5961,6012,6058,6134,6258,6425,6464,6641,6642,6801,6871,6910,7083,7325,7399,7734,7737,7911,7913,7914,8956,9105,9168,9745,9746,4770,4778,4968,5273,5876,5889,5910,5926,5990,6029,6130,6189,6678])).
% 184.38/184.17 cnf(13186,plain,
% 184.38/184.17 (~P1(f775(f775(f232(a850),f775(a114,f2(a850))),f775(f775(f3(a850),f775(f775(f82(a850),x131861),f2(a850))),f775(f775(f82(a850),x131861),f2(a850)))))),
% 184.38/184.17 inference(scs_inference,[],[3402,11905,11922,12381,12383,3426,10873,11940,12043,12140,12178,12186,12195,12248,12345,12347,12781,12787,12792,12796,12802,12805,12829,12958,3434,12007,3435,12079,3486,3155,12387,12389,3156,12415,4129,12431,12434,3159,12406,3004,3025,12426,4387,4339,10043,10046,10052,10114,10117,10208,10211,10492,10503,11144,11159,11163,11204,11207,11210,11213,11225,11256,11269,11296,11299,11310,11315,11321,11421,11424,11428,11432,11442,11466,11537,11574,12116,12287,12332,12334,12340,12365,12379,12397,12402,12404,12410,12412,12424,4340,11160,11164,12651,12820,12845,12856,12957,12962,12968,12972,12976,12995,3485,3067,4365,10049,10059,10070,10079,10178,10181,10184,10289,10395,10563,10695,10828,11064,11147,11154,11170,11218,11221,11324,11376,11392,11713,11738,11752,11787,11884,12003,12010,12170,12220,12595,12847,12852,12857,12865,12873,13152,4383,10273,10368,3241,3205,12336,4377,10719,12508,12889,2810,2813,2822,2823,2828,2832,2833,2834,2835,2837,2840,2843,2844,2845,2847,2850,2853,2855,2857,2859,2861,2862,2864,2865,2870,2871,2874,2875,2885,2887,2888,2893,2906,2908,2913,2916,2918,2919,2933,2936,2943,2944,2945,2948,2949,2953,2956,2960,2962,2963,2966,2977,2979,4360,3059,4361,3520,3167,3510,3760,4352,3120,11418,12198,12202,12206,3129,3237,3640,3949,3027,3028,4379,4397,4438,10809,11103,11106,3733,11192,3240,3098,3084,3086,3051,3554,12359,3046,3846,3066,3559,4325,12320,3035,3014,3041,4047,10989,3065,3198,11679,11902,12037,3244,10647,12004,3118,3119,3139,10310,3289,4473,10241,3815,4399,10105,10270,11061,12166,12199,12203,4408,12174,3176,11518,11521,12749,12861,12921,12925,12929,4463,10878,3269,3149,3579,3171,3290,10890,3509,3282,3257,12369,3082,3083,10170,10468,4447,3345,3074,3005,3128,3105,11184,3962,12189,12299,3816,10815,10934,11001,12150,12156,12255,12258,12277,4481,10751,10941,11055,11075,11111,11117,12095,4482,10855,10944,11058,11114,4483,10947,11008,4484,11011,4485,3102,3383,12046,12173,3543,4242,4243,3366,4396,11175,3489,3523,3695,3456,12634,12638,12642,12646,12660,3743,12040,3369,3620,3254,10189,10192,10305,10382,10434,10437,10471,10560,10799,11577,11625,11709,11777,11855,11893,11966,11969,12281,12501,12535,12549,12594,12617,12677,12684,12864,12869,12980,12986,3632,11409,3268,11533,12994,3451,4453,10082,10085,10111,10571,10586,10708,11126,11187,11591,11599,11831,11834,11927,12098,12449,12468,12471,12493,12550,12731,12736,12759,12764,4469,11285,11318,11359,11389,12559,12563,3617,3393,3394,12474,12477,12480,12483,12516,12519,12904,12908,12912,12916,3396,3770,3355,12909,3356,12905,3213,3215,3188,4450,3081,4393,3570,3881,3375,4470,3956,11072,3508,3730,11543,11546,3226,12014,12120,12261,3923,3879,11702,12061,3826,10644,11867,11887,12074,12725,12920,3869,12924,3874,10818,11935,12013,12073,12119,12752,12896,3875,12949,3544,11712,11862,11945,11994,12092,3912,3561,10821,10883,10968,11030,11883,11959,12215,12274,12284,12786,12791,4474,10589,10952,12799,3184,10201,10296,10420,10478,11261,11268,11491,11502,11536,11573,11682,11737,11952,12123,12310,3185,10538,10592,10595,10628,10655,10689,10733,10767,11755,11758,11761,11764,11972,11975,11978,11981,12054,12226,12494,12522,12606,12613,12620,12625,12628,12631,12668,12687,12698,12742,12768,12771,12886,12982,12988,3186,10286,10483,10566,10692,11327,11372,11580,11594,11688,11699,11720,11725,11767,11770,11792,11807,12513,12674,12701,12732,12737,12760,12765,12882,12892,12969,12973,3187,10634,10700,11984,11987,12850,3262,11918,12579,12635,12639,12643,12647,12661,12665,4449,10148,10236,10347,10377,10610,10658,10665,10978,11336,11441,11463,11469,11472,11488,11640,11643,11646,11649,11751,11773,11776,11786,11843,11846,11849,11852,11928,12025,12028,12126,12129,12219,12313,3341,10440,10703,10748,11019,11092,11248,11498,12169,12316,12719,4465,10619,10631,10740,10758,10761,10812,10897,10907,10919,10955,10983,10995,11027,11067,11083,11086,11089,11120,11131,11134,11515,11552,11837,11840,11874,11919,11955,12104,12147,12153,12238,12241,12251,12298,12304,12307,12326,12578,12598,12601,12708,12824,12839,12842,12901,12946,12953,12956,3248,10465,10495,12560,12564,12567,12570,3285,12878,12881,12942,3280,3701,3637,10151,11412,11445,12540,4462,10102,10459,10462,10900,10916,11375,11431,11480,11499,11609,11652,11655,11658,11661,12657,12774,3207,10652,10726,11446,11608,11812,12055,12591,12885,12983,12989,12993,3661,11549,12490,4007,3399,4460,3672,3709,4441,4442,4444,3162,3163,4443,4445,4183,3498,11405,4103,4476,10073,10076,10328,10786,11612,3936,12087,3787,11137,11475,11479,11540,12177,12185,12254,12507,12780,12828,3625,10764,10770,10781,11734,11958,12234,3483,10986,12101,12111,12182,12229,12237,12323,12936,3960,3629,10844,10998,11024,11035,12067,12181,12223,12816,3726,12464,3342,12656,3454,10426,10429,10498,10679,4479,11406,4475,12458,4480,10549,10971,11123,12049,12058,12107,12271,4067,10637,12070,12084,12110,3967,3660,12329,3604,11532,4477,10124,10127,10453,10456,11282,11476,12280,4478,11386,11485,3630,10423,10676,12868,3631,3896,4490,4495,4501,4563,4566,4594,4612,4619,4620,4656,4685,4691,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% 184.38/184.17 cnf(13312,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(f851(x133121),f851(x133121))),f775(f775(f241(f851(x133121),f851(x133121)),f115(x133121)),x133122)),f146(x133121,x133123)))),
% 184.38/184.17 inference(rename_variables,[],[4485])).
% 184.38/184.17 cnf(13317,plain,
% 184.38/184.17 (P1(f775(f775(f233(a850),x133171),f775(a114,f775(f775(f82(a850),x133171),x133172))))),
% 184.38/184.17 inference(rename_variables,[],[3631])).
% 184.38/184.17 cnf(13324,plain,
% 184.38/184.17 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x133241),x133242)),x133241))),
% 184.38/184.17 inference(rename_variables,[],[4478])).
% 184.38/184.17 cnf(13331,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x133311,a844)),x133312),x133312))),
% 184.38/184.17 inference(rename_variables,[],[3483])).
% 184.38/184.17 cnf(13338,plain,
% 184.38/184.17 (E(f775(x133381,f702(f775(x133381,x133382),f775(f227(x133383),x133382),x133381,x133384,x133383)),f775(x133381,x133382))),
% 184.38/184.17 inference(rename_variables,[],[10927])).
% 184.38/184.17 cnf(13343,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x133431),x133432),f775(f305(x133431,x133433,x133434),f180(f857(x133433,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10760])).
% 184.38/184.17 cnf(13348,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),x133481),f775(f775(f83(a850),x133481),x133481)))),
% 184.38/184.17 inference(rename_variables,[],[3454])).
% 184.38/184.17 cnf(13351,plain,
% 184.38/184.17 (~P39(f36(x133511,f36(x133512,f36(f36(f775(a27,x133513),x133514),x133515))),x133516,f2(a850),x133517)),
% 184.38/184.17 inference(rename_variables,[],[10965])).
% 184.38/184.17 cnf(13354,plain,
% 184.38/184.17 (E(f775(x133541,f702(f775(x133541,x133542),f775(f227(x133543),x133542),x133541,x133544,x133543)),f775(x133541,x133542))),
% 184.38/184.17 inference(rename_variables,[],[10927])).
% 184.38/184.17 cnf(13359,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(x133591,x133591)),x133592),f260(x133591,f180(f857(x133591,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10757])).
% 184.38/184.17 cnf(13368,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),x133681),x133681))),
% 184.38/184.17 inference(rename_variables,[],[3185])).
% 184.38/184.17 cnf(13371,plain,
% 184.38/184.17 (~P1(f775(f775(f232(a850),f775(f775(f83(a850),f775(a114,x133711)),f775(a114,x133711))),x133711))),
% 184.38/184.17 inference(rename_variables,[],[10497])).
% 184.38/184.17 cnf(13380,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x133801,a844)),f775(f158(x133801),f151(x133801,x133802,x133803))),f775(f158(x133801),x133803)))),
% 184.38/184.17 inference(rename_variables,[],[3874])).
% 184.38/184.17 cnf(13383,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x133831),x133832),f180(f857(x133831,a844))))),
% 184.38/184.17 inference(rename_variables,[],[4465])).
% 184.38/184.17 cnf(13401,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),x134011),x134011))),
% 184.38/184.17 inference(rename_variables,[],[3185])).
% 184.38/184.17 cnf(13404,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x134041,a844)),f775(f158(x134041),f151(x134041,x134042,x134043))),f775(f158(x134041),x134043)))),
% 184.38/184.17 inference(rename_variables,[],[3874])).
% 184.38/184.17 cnf(13407,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(x134071,x134071)),x134072),f260(x134071,f180(f857(x134071,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10757])).
% 184.38/184.17 cnf(13410,plain,
% 184.38/184.17 (E(f775(x134101,f702(f775(x134101,x134102),f775(f227(x134103),x134102),x134101,x134104,x134103)),f775(x134101,x134102))),
% 184.38/184.17 inference(rename_variables,[],[10927])).
% 184.38/184.17 cnf(13415,plain,
% 184.38/184.17 (P1(f775(f775(f233(a1),f775(f775(f3(a1),x134151),f80(a1))),x134151))),
% 184.38/184.17 inference(rename_variables,[],[10565])).
% 184.38/184.17 cnf(13427,plain,
% 184.38/184.17 (~P1(f775(f775(f334(a850),x134271),f775(f257(a850),f2(a850))))),
% 184.38/184.17 inference(rename_variables,[],[11566])).
% 184.38/184.17 cnf(13430,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x134301),x134302),f180(f857(x134301,a844))))),
% 184.38/184.17 inference(rename_variables,[],[4465])).
% 184.38/184.17 cnf(13435,plain,
% 184.38/184.17 (P1(f775(f775(f334(x134351),f775(x134352,x134353)),f775(f303(x134354,x134351,x134352),f239(f857(x134354,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[3787])).
% 184.38/184.17 cnf(13438,plain,
% 184.38/184.17 (E(f38(x134381,x134382,x134383,x134384,x134385,x134386,x134387,x134388,x134389,a25),x134382)),
% 184.38/184.17 inference(rename_variables,[],[4340])).
% 184.38/184.17 cnf(13445,plain,
% 184.38/184.17 (~P1(f775(f775(f232(a850),f775(a114,x134451)),x134451))),
% 184.38/184.17 inference(rename_variables,[],[4462])).
% 184.38/184.17 cnf(13450,plain,
% 184.38/184.17 (~P1(f775(f775(f232(a850),f775(a114,x134501)),x134501))),
% 184.38/184.17 inference(rename_variables,[],[4462])).
% 184.38/184.17 cnf(13453,plain,
% 184.38/184.17 (~E(f775(a114,x134531),f2(a850))),
% 184.38/184.17 inference(rename_variables,[],[4377])).
% 184.38/184.17 cnf(13468,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x134681,a844)),x134682),x134682))),
% 184.38/184.17 inference(rename_variables,[],[3483])).
% 184.38/184.17 cnf(13471,plain,
% 184.38/184.17 (~P1(f775(f775(f232(a850),f775(a114,x134711)),x134711))),
% 184.38/184.17 inference(rename_variables,[],[4462])).
% 184.38/184.17 cnf(13474,plain,
% 184.38/184.17 (~E(f775(f775(f140(x134741),x134742),x134743),x134743)),
% 184.38/184.17 inference(rename_variables,[],[4399])).
% 184.38/184.17 cnf(13479,plain,
% 184.38/184.17 (~P1(f775(f775(f334(a850),x134791),f775(f257(a850),f2(a850))))),
% 184.38/184.17 inference(rename_variables,[],[11566])).
% 184.38/184.17 cnf(13482,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(f851(x134821),f851(x134821))),f775(f775(f241(f851(x134821),f851(x134821)),x134822),f115(x134821))),f146(x134821,x134823)))),
% 184.38/184.17 inference(rename_variables,[],[4483])).
% 184.38/184.17 cnf(13487,plain,
% 184.38/184.17 (~E(f775(f775(f140(x134871),x134872),x134873),x134873)),
% 184.38/184.17 inference(rename_variables,[],[4399])).
% 184.38/184.17 cnf(13490,plain,
% 184.38/184.17 (~P1(f775(f775(f180(f857(x134901,f857(x134902,a844))),x134903),x134904))),
% 184.38/184.17 inference(rename_variables,[],[4480])).
% 184.38/184.17 cnf(13495,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),x134951),x134951))),
% 184.38/184.17 inference(rename_variables,[],[3185])).
% 184.38/184.17 cnf(13519,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x135191,a844)),x135192),f775(f775(f103(f857(x135191,a844)),x135193),f239(f857(x135191,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10967])).
% 184.38/184.17 cnf(13528,plain,
% 184.38/184.17 (E(f38(x135281,x135282,x135283,x135284,x135285,x135286,x135287,x135288,x135289,a25),x135282)),
% 184.38/184.17 inference(rename_variables,[],[4340])).
% 184.38/184.17 cnf(13544,plain,
% 184.38/184.17 (E(f38(x135441,x135442,x135443,x135444,x135445,x135446,x135447,x135448,x135449,a25),x135442)),
% 184.38/184.17 inference(rename_variables,[],[4340])).
% 184.38/184.17 cnf(13547,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x135471),x135472),f180(f857(x135471,a844))))),
% 184.38/184.17 inference(rename_variables,[],[4465])).
% 184.38/184.17 cnf(13554,plain,
% 184.38/184.17 (~E(x135541,f775(a114,x135541))),
% 184.38/184.17 inference(rename_variables,[],[10134])).
% 184.38/184.17 cnf(13557,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(x135571,x135571)),x135572),f260(x135571,f180(f857(x135571,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10757])).
% 184.38/184.17 cnf(13562,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(f851(x135621),f851(x135621))),f775(f775(f241(f851(x135621),f851(x135621)),x135622),f115(x135621))),f135(x135621,x135623)))),
% 184.38/184.17 inference(rename_variables,[],[4481])).
% 184.38/184.17 cnf(13565,plain,
% 184.38/184.17 (~E(f775(f303(x135651,f857(x135651,a844),x135652),x135653),f775(f301(x135651),x135653))),
% 184.38/184.17 inference(rename_variables,[],[4463])).
% 184.38/184.17 cnf(13572,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),x135721),f775(f775(f83(a850),x135721),x135721)))),
% 184.38/184.17 inference(rename_variables,[],[3454])).
% 184.38/184.17 cnf(13575,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),x135751),x135751))),
% 184.38/184.17 inference(rename_variables,[],[3185])).
% 184.38/184.17 cnf(13578,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x135781),x135782),f180(f857(x135781,a844))))),
% 184.38/184.17 inference(rename_variables,[],[4465])).
% 184.38/184.17 cnf(13585,plain,
% 184.38/184.17 (E(f775(f775(f82(a850),x135851),f680(x135851,x135851)),x135851)),
% 184.38/184.17 inference(rename_variables,[],[10245])).
% 184.38/184.17 cnf(13593,plain,
% 184.38/184.17 (P1(f775(f775(f334(f856(x135931,x135931)),f775(f775(f241(x135931,x135931),x135932),x135932)),f300(x135931,x135933)))),
% 184.38/184.17 inference(rename_variables,[],[3816])).
% 184.38/184.17 cnf(13598,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(x135981,x135981)),x135982),f260(x135981,f180(f857(x135981,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10757])).
% 184.38/184.17 cnf(13603,plain,
% 184.38/184.17 (P1(f775(f775(f232(a1),x136031),x136031))),
% 184.38/184.17 inference(rename_variables,[],[3186])).
% 184.38/184.17 cnf(13606,plain,
% 184.38/184.17 (~P1(f775(f775(f334(a850),x136061),f775(f257(a850),f2(a850))))),
% 184.38/184.17 inference(rename_variables,[],[11566])).
% 184.38/184.17 cnf(13617,plain,
% 184.38/184.17 (~E(f775(f775(f82(a1),x136171),x136171),a99)),
% 184.38/184.17 inference(rename_variables,[],[4396])).
% 184.38/184.17 cnf(13629,plain,
% 184.38/184.17 (E(f38(x136291,x136292,x136293,x136294,x136295,x136296,x136297,x136298,x136299,a25),x136292)),
% 184.38/184.17 inference(rename_variables,[],[4340])).
% 184.38/184.17 cnf(13634,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x136341),x136342),f180(f857(x136341,a844))))),
% 184.38/184.17 inference(rename_variables,[],[4465])).
% 184.38/184.17 cnf(13637,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),f52(a850,x136371,x136372)),x136371))),
% 184.38/184.17 inference(rename_variables,[],[3637])).
% 184.38/184.17 cnf(13644,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),x136441),f775(f775(f83(a850),f775(a114,x136441)),f775(a114,x136441))))),
% 184.38/184.17 inference(rename_variables,[],[10428])).
% 184.38/184.17 cnf(13657,plain,
% 184.38/184.17 (~P1(f775(f775(f232(a850),f775(f775(f83(a850),f775(a114,x136571)),f775(a114,x136571))),x136571))),
% 184.38/184.17 inference(rename_variables,[],[10497])).
% 184.38/184.17 cnf(13662,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),x136621),x136621))),
% 184.38/184.17 inference(rename_variables,[],[3185])).
% 184.38/184.17 cnf(13713,plain,
% 184.38/184.17 (P1(f775(f775(f334(x137131),f775(x137132,x137133)),f775(f303(x137134,x137131,x137132),f239(f857(x137134,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[3787])).
% 184.38/184.17 cnf(13716,plain,
% 184.38/184.17 (P1(f775(f775(f233(a1),f775(f775(f3(a1),x137161),f80(a1))),x137161))),
% 184.38/184.17 inference(rename_variables,[],[10565])).
% 184.38/184.17 cnf(13727,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x137271),x137272),f180(f857(x137271,a844))))),
% 184.38/184.17 inference(rename_variables,[],[4465])).
% 184.38/184.17 cnf(13759,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x137591),x137592),f775(f305(x137591,x137593,x137594),f180(f857(x137593,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10760])).
% 184.38/184.17 cnf(13764,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),x137641),f775(f775(f83(a850),x137641),x137641)))),
% 184.38/184.17 inference(rename_variables,[],[3454])).
% 184.38/184.17 cnf(13767,plain,
% 184.38/184.17 (~P1(f775(f775(f334(a850),x137671),f775(f257(a850),f2(a850))))),
% 184.38/184.17 inference(rename_variables,[],[11566])).
% 184.38/184.17 cnf(13772,plain,
% 184.38/184.17 (E(f775(x137721,f702(f775(x137721,x137722),f775(f227(x137723),x137722),x137721,x137724,x137723)),f775(x137721,x137722))),
% 184.38/184.17 inference(rename_variables,[],[10927])).
% 184.38/184.17 cnf(13777,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x137771,a844)),f775(f158(x137771),f151(x137771,x137772,x137773))),f775(f158(x137771),x137773)))),
% 184.38/184.17 inference(rename_variables,[],[3874])).
% 184.38/184.17 cnf(13797,plain,
% 184.38/184.17 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x137971),x137972)),x137972))),
% 184.38/184.17 inference(rename_variables,[],[4477])).
% 184.38/184.17 cnf(13809,plain,
% 184.38/184.17 (P1(f775(f775(f232(a850),f2(a850)),x138091))),
% 184.38/184.17 inference(rename_variables,[],[3207])).
% 184.38/184.17 cnf(13821,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x138211),x138212),f775(f305(x138211,x138213,x138214),f180(f857(x138213,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10760])).
% 184.38/184.17 cnf(13826,plain,
% 184.38/184.17 (~E(f775(f775(f140(x138261),x138262),x138263),x138263)),
% 184.38/184.17 inference(rename_variables,[],[4399])).
% 184.38/184.17 cnf(13831,plain,
% 184.38/184.17 (E(f38(x138311,x138312,x138313,x138314,x138315,x138316,x138317,x138318,x138319,a25),x138312)),
% 184.38/184.17 inference(rename_variables,[],[4340])).
% 184.38/184.17 cnf(13837,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x138371,a844)),x138372),f775(f775(f302(x138371),x138373),x138372)))),
% 184.38/184.17 inference(rename_variables,[],[3625])).
% 184.38/184.17 cnf(13840,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x138401),x138402),f180(f857(x138401,a844))))),
% 184.38/184.17 inference(rename_variables,[],[4465])).
% 184.38/184.17 cnf(13843,plain,
% 184.38/184.17 (~E(f775(f775(f140(x138431),x138432),x138433),x138433)),
% 184.38/184.17 inference(rename_variables,[],[4399])).
% 184.38/184.17 cnf(13859,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(x138591,x138591)),x138592),f260(x138591,f180(f857(x138591,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10757])).
% 184.38/184.17 cnf(13866,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(x138661,x138661)),x138662),f260(x138661,f180(f857(x138661,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10757])).
% 184.38/184.17 cnf(13874,plain,
% 184.38/184.17 (~P1(f775(f775(f334(a850),x138741),f775(f257(a850),f2(a850))))),
% 184.38/184.17 inference(rename_variables,[],[11566])).
% 184.38/184.17 cnf(13877,plain,
% 184.38/184.17 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x138771),x138772)),x138771))),
% 184.38/184.17 inference(rename_variables,[],[4478])).
% 184.38/184.17 cnf(13880,plain,
% 184.38/184.17 (~E(f775(f775(f140(x138801),x138802),x138803),x138803)),
% 184.38/184.17 inference(rename_variables,[],[4399])).
% 184.38/184.17 cnf(13885,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(x138851,x138851)),x138852),f260(x138851,f180(f857(x138851,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10757])).
% 184.38/184.17 cnf(13888,plain,
% 184.38/184.17 (~E(f775(f303(x138881,f857(x138881,a844),x138882),x138883),f775(f301(x138881),x138883))),
% 184.38/184.17 inference(rename_variables,[],[4463])).
% 184.38/184.17 cnf(13895,plain,
% 184.38/184.17 (~P1(f775(f775(f334(f856(x138951,x138951)),x138952),f260(x138951,f180(f857(x138951,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[10757])).
% 184.38/184.17 cnf(13908,plain,
% 184.38/184.17 (~E(f775(a114,x139081),f2(a850))),
% 184.38/184.17 inference(rename_variables,[],[4377])).
% 184.38/184.17 cnf(13933,plain,
% 184.38/184.17 (~P1(f775(f775(f233(a850),x139331),x139331))),
% 184.38/184.17 inference(rename_variables,[],[4449])).
% 184.38/184.17 cnf(13941,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x139411),x139412),f180(f857(x139411,a844))))),
% 184.38/184.17 inference(rename_variables,[],[4465])).
% 184.38/184.17 cnf(13946,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x139461,a844)),x139462),x139462))),
% 184.38/184.17 inference(rename_variables,[],[3483])).
% 184.38/184.17 cnf(13971,plain,
% 184.38/184.17 (P1(f775(f775(f334(x139711),f775(x139712,x139713)),f775(f303(x139714,x139711,x139712),f239(f857(x139714,a844)))))),
% 184.38/184.17 inference(rename_variables,[],[3787])).
% 184.38/184.17 cnf(13974,plain,
% 184.38/184.17 (~P1(f775(f775(f233(a850),f775(f775(f82(a850),x139741),x139742)),x139741))),
% 184.38/184.17 inference(rename_variables,[],[4478])).
% 184.38/184.17 cnf(14016,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x140161),x140162),f180(f857(x140161,a844))))),
% 184.38/184.17 inference(rename_variables,[],[4465])).
% 184.38/184.17 cnf(14019,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x140191,a844)),f775(f158(x140191),f151(x140191,x140192,x140193))),f775(f158(x140191),x140193)))),
% 184.38/184.17 inference(rename_variables,[],[3874])).
% 184.38/184.17 cnf(14036,plain,
% 184.38/184.17 (E(f775(x140361,f702(f775(x140361,x140362),f775(f227(x140363),x140362),x140361,x140364,x140363)),f775(x140361,x140362))),
% 184.38/184.17 inference(rename_variables,[],[10927])).
% 184.38/184.17 cnf(14045,plain,
% 184.38/184.17 (~E(f775(f775(f140(x140451),x140452),x140453),x140453)),
% 184.38/184.17 inference(rename_variables,[],[4399])).
% 184.38/184.17 cnf(14061,plain,
% 184.38/184.17 (~P1(f775(f775(f334(x140611),x140612),f180(f857(x140611,a844))))),
% 184.38/184.17 inference(rename_variables,[],[4465])).
% 184.38/184.17 cnf(14064,plain,
% 184.38/184.17 (~P1(f775(f775(f334(a850),x140641),f775(f257(a850),f2(a850))))),
% 184.38/184.17 inference(rename_variables,[],[11566])).
% 184.38/184.17 cnf(14074,plain,
% 184.38/184.17 (E(f775(x140741,f702(f775(x140741,x140742),f775(f227(x140743),x140742),x140741,x140744,x140743)),f775(x140741,x140742))),
% 184.38/184.17 inference(rename_variables,[],[10927])).
% 184.38/184.17 cnf(14116,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x141161,a844)),x141162),x141162))),
% 184.38/184.17 inference(rename_variables,[],[3483])).
% 184.38/184.17 cnf(14134,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x141341,a844)),f775(f158(x141341),f151(x141341,x141342,x141343))),f775(f158(x141341),x141343)))),
% 184.38/184.17 inference(rename_variables,[],[3874])).
% 184.38/184.17 cnf(14140,plain,
% 184.38/184.17 (P1(f775(f775(f233(a1),f775(f775(f3(a1),x141401),f80(a1))),x141401))),
% 184.38/184.17 inference(rename_variables,[],[10565])).
% 184.38/184.17 cnf(14148,plain,
% 184.38/184.17 (P1(f775(f775(f232(f857(x141481,a844)),f775(f158(x141481),f151(x141481,x141482,x141483))),f775(f158(x141481),x141483)))),
% 184.38/184.17 inference(rename_variables,[],[3874])).
% 184.38/184.17 cnf(14216,plain,
% 184.38/184.17 ($false),
% 184.38/184.17 inference(scs_inference,[],[3215,3213,3617,3923,3770,3962,3188,4479,4441,3185,13368,13401,13495,13575,13662,4450,3816,13593,3262,4481,13562,4444,3280,3632,4465,13383,13430,13547,13578,13634,13727,13840,13941,14016,14061,3268,3874,13380,13404,13777,14019,14134,14148,3285,3787,13435,13713,13971,3660,3014,4383,4377,13453,13908,4438,4399,13474,13487,13826,13843,13880,14045,4463,13565,13888,4396,13617,3826,3186,13603,3637,13637,3207,13809,3498,3625,13837,3483,13331,13468,13946,14116,3629,3726,3342,3454,13348,13572,13764,3630,3631,13317,4339,4340,13438,13528,13544,13629,13831,3128,3543,4482,4483,13482,4485,13312,4449,13933,4462,13445,13450,13471,4475,4480,13490,4477,13797,4478,13324,13877,13974,3435,10134,13554,10902,12871,10394,11003,10186,12603,10194,12512,11635,11535,3182,12266,11128,13069,10374,12066,12057,13176,10428,13644,11687,10409,11331,10863,12268,12294,12301,10967,13519,12998,10710,12051,10565,13415,13716,14140,12315,10742,11034,4274,10927,13338,13354,13410,13772,14036,14074,11139,11356,10245,13585,11108,11079,10502,10363,3245,11016,10790,12767,12770,10515,11998,11991,10949,13121,12100,11564,11566,13427,13479,13606,13767,13874,14064,11623,10509,12510,10915,10757,13359,13407,13557,13598,13859,13866,13885,13895,10760,13343,13759,13821,10954,13186,10497,13371,13657,10609,11845,11851,11082,13105,11937,10965,13351,10959,12355,2969,3727,2,9,5638,8344,9253,8148,5984,5795,5843,6111,5226,5757,7933,9170,6253,4557,7507,6808,5282,7672,8991,5634,7913,9600,6630,5116,5297,6144,8750,8941,4620,6009,8314,9768,6258,8574,5615,8539,5071,5461,6825,5219,8358,9354,4556,5072,5392,6730,7367,5652,6008,8696,6655,8662,7720,6170,6801,9423,9093,4857,5101,5708,9319,6010,8081,4685,5139,9149,5300,6520,7911,9527,9769,5707,4833,5620,6425,6990,9442,5146,4881,6076,8992,5129,5195,5243,5571,8659,9745,6632,7809,4495,4952,5564,8712,6871,4882,5176,5231,9820,5872,5916,8620,9526,7249,9794,9757,5398,5434,7978,8831,9789,5611,6147,4764,6713,7993,8896,9293,9624,5325,6015,6727,6716,6787,6629,5572,4946,5080,5612,5201,4947,5232,5460,9483,6372,6381,6683,7277,5568,6826,9426,8480,5366,8705,5115,5982,9746,9759,8466,6203,5135,7304,5210,6906,7357,6302,5138,5214,6132,9482,8616,5092,5489,5939,6863,6699,5636,7389,5693,5946,7247,8814,8320,9292,6058,6357,8312,7596,5563,5979,6715,5079,8988,5987,6140,6332,8473,9104,5626,7022,6641,4750,4566,6681,8525,5699,5840,5943,6553,5960,5965,8453,5213,7079,8340,9427,9578,5978,6196,8809,8,9105,6117,9700,9192,4501,5262,6246,9552,9361,8926,5200,5479,6252,5343,5113,6676,7107,8414,8465,9035,9967,4879,6361,8715,5015,4691,7488,9968,9756,5251,6940,9103,6012,8467,6251,8438,8552,7689,5235,7110,8989,9139,5922,5771,5293,5813,5284,7437,7577,8483,8638,8479,9372,5531,8603,5451,7434,8213,8191,8995,7168,7441,5005,4613,8390,5962,6331,7373,6210,9151,5417,7376,8541,5123,7399,5193,8673,8786,8792,9489,6594,8738,7264,7718,8663,9737,10019,5245,4558,5650,7083,5576,4612,8410,8474,5963,7489,6162,8172,8511,8961,9891,5420,5520,5120,5610,9653,8955,6428,5186,8481,5942,6451,8925,7302,5230,6134,5475,5143,6301,5447,8503,4958,9337,4619,5217,5565,9291,7899,9424,5631,6878,6113,5622,5673,5880,8454,8674,6247,7774,9114,6255,6264,8573,5122,6473,4919,9576,5734,6311,6373,7784,8713,9395,6802,8502,6822,5358,5853,8482,8956,8990,5004,8796,4594]),
% 184.38/184.17 ['proof']).
% 184.38/184.17 % SZS output end Proof
% 184.38/184.17 % Total time :167.250000s
%------------------------------------------------------------------------------