%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n019.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 : Wed Aug 31 17:19:42 EDT 2022

% Result   : Theorem 32.28s 4.49s
% Output   : Refutation 32.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :  428
% Syntax   : Number of formulae    : 1468 ( 327 unt;  68 typ;   0 def)
%            Number of atoms       : 3001 ( 715 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives : 2742 (1141   ~;1113   |; 101   &)
%                                         ( 300 <=>;  87  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number arithmetic     : 4282 (1125 atm;   0 fun;2571 num; 586 var)
%            Number of types       :   13 (  10 usr;   2 ari)
%            Number of type conns  :   65 (  48   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :  209 ( 204 usr; 204 prp; 0-2 aty)
%            Number of functors    :   62 (  56 usr;  16 con; 0-2 aty)
%            Number of variables   :  870 ( 864   !;   6   ?; 870   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'Int_int_fun$': $tType ).

tff(type_def_6,type,
    'Num_bool_fun$': $tType ).

tff(type_def_7,type,
    'Nat_nat_fun$': $tType ).

tff(type_def_8,type,
    'Nat$': $tType ).

tff(type_def_9,type,
    'Num$': $tType ).

tff(type_def_10,type,
    'Real_real_fun$': $tType ).

tff(type_def_11,type,
    'Nat_real_fun$': $tType ).

tff(type_def_12,type,
    'A$': $tType ).

tff(type_def_13,type,
    'Nat_bool_fun$': $tType ).

tff(type_def_14,type,
    'Nat_int_fun$': $tType ).

tff(func_def_0,type,
    'times$b': 'Nat$' > 'Nat_nat_fun$' ).

tff(func_def_1,type,
    'norm$': $real > $real ).

tff(func_def_2,type,
    'bit0$': 'Num$' > 'Num$' ).

tff(func_def_3,type,
    'zero$': 'Nat$' ).

tff(func_def_4,type,
    'one$a': 'A$' ).

tff(func_def_5,type,
    'c$a': $real ).

tff(func_def_6,type,
    'f$': 'Nat$' > 'A$' ).

tff(func_def_7,type,
    'zero$a': 'A$' ).

tff(func_def_8,type,
    'power$a': 'Nat$' > 'Nat_nat_fun$' ).

tff(func_def_9,type,
    'fun_app$e': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).

tff(func_def_10,type,
    'n$': 'Nat$' ).

tff(func_def_11,type,
    'u$': $real ).

tff(func_def_12,type,
    'fun_app$': ( 'Real_real_fun$' * $real ) > $real ).

tff(func_def_13,type,
    'of_nat$': 'Nat$' > $int ).

tff(func_def_14,type,
    'power$': $real > 'Nat_real_fun$' ).

tff(func_def_15,type,
    'c$': $real ).

tff(func_def_16,type,
    'inverse$a': 'A$' > 'A$' ).

tff(func_def_17,type,
    'power$c': ( 'A$' * 'Nat$' ) > 'A$' ).

tff(func_def_18,type,
    'divide$': $real > 'Real_real_fun$' ).

tff(func_def_19,type,
    'numeral$a': 'Num$' > $int ).

tff(func_def_20,type,
    'numeral$c': 'Num$' > 'Nat$' ).

tff(func_def_21,type,
    'divide$a': $int > 'Int_int_fun$' ).

tff(func_def_22,type,
    'times$a': ( 'Num$' * 'Num$' ) > 'Num$' ).

tff(func_def_23,type,
    'fun_app$d': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_24,type,
    'times$d': ( 'A$' * 'A$' ) > 'A$' ).

tff(func_def_25,type,
    'one$b': 'Nat$' ).

tff(func_def_26,type,
    'numeral$': 'Num$' > $real ).

tff(func_def_27,type,
    'times$c': ( $int * $int ) > $int ).

tff(func_def_28,type,
    'one$': 'Num$' ).

tff(func_def_29,type,
    'times$': ( $real * $real ) > $real ).

tff(func_def_30,type,
    'less_eq$a': 'Nat$' > 'Nat_bool_fun$' ).

tff(func_def_31,type,
    'less_eq$': 'Num$' > 'Num_bool_fun$' ).

tff(func_def_32,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_33,type,
    'numeral$b': 'Num$' > 'A$' ).

tff(func_def_34,type,
    'less$': 'Num$' > 'Num_bool_fun$' ).

tff(func_def_35,type,
    'fun_app$a': ( 'Nat_real_fun$' * 'Nat$' ) > $real ).

tff(func_def_36,type,
    'less$a': 'Nat$' > 'Nat_bool_fun$' ).

tff(func_def_37,type,
    'l$': $real ).

tff(func_def_38,type,
    'fun_app$f': ( 'Int_int_fun$' * $int ) > $int ).

tff(func_def_39,type,
    'norm$a': 'A$' > $real ).

tff(func_def_40,type,
    'power$b': $int > 'Nat_int_fun$' ).

tff(func_def_41,type,
    'inverse$': $real > $real ).

tff(func_def_42,type,
    'divide$b': 'Nat$' > 'Nat_nat_fun$' ).

tff(func_def_53,type,
    sK0: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_54,type,
    sK1: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_55,type,
    sK2: ( $real * $real ) > $real ).

tff(func_def_56,type,
    sK3: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_57,type,
    sK4: $real > $real ).

tff(func_def_58,type,
    sK5: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_59,type,
    sK6: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_60,type,
    sK7: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_61,type,
    sK8: ( $real * 'Nat$' ) > $real ).

tff(func_def_62,type,
    sK9: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_63,type,
    sK10: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_64,type,
    sK11: ( 'Nat$' * $real ) > $real ).

tff(func_def_65,type,
    sK12: $real > $real ).

tff(pred_def_1,type,
    'fun_app$c': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).

tff(pred_def_2,type,
    'fun_app$b': ( 'Num_bool_fun$' * 'Num$' ) > $o ).

tff(f14241,plain,
    $false,
    inference(avatar_smt_refutation,[],[f2770,f2774,f2778,f2784,f2793,f2798,f2807,f2808,f2813,f2817,f2821,f2827,f2837,f2841,f2847,f2852,f2853,f2854,f2858,f2860,f2865,f2872,f2886,f2887,f2891,f2898,f2902,f2906,f2910,f2916,f2917,f2922,f2928,f2929,f2930,f2938,f2944,f2952,f2956,f2961,f2962,f2963,f2977,f2978,f3052,f3056,f3063,f3069,f3072,f3078,f3085,f3094,f3101,f3106,f3118,f3123,f3129,f3218,f3240,f3321,f3389,f3433,f3435,f3587,f3589,f3611,f3649,f3796,f3800,f4113,f4120,f4129,f4186,f4253,f4257,f4567,f4571,f4636,f4640,f4643,f4646,f4647,f4649,f4662,f4667,f4672,f4674,f4715,f4719,f4724,f4732,f4769,f4778,f4784,f4786,f5088,f5147,f5154,f5226,f5325,f5396,f5397,f5398,f5399,f5570,f5634,f5744,f5862,f5865,f6132,f6143,f6262,f6266,f6349,f6353,f6366,f6370,f6374,f6391,f6396,f6401,f6522,f6530,f6534,f6535,f6539,f6544,f6546,f6551,f6569,f6576,f6580,f6584,f6588,f7262,f7311,f7314,f7318,f7360,f7365,f7464,f7471,f7473,f7474,f7505,f7509,f7517,f7634,f7645,f7649,f7654,f7685,f7696,f7785,f7786,f7794,f7798,f7802,f8003,f8045,f8068,f8228,f8229,f8241,f8245,f8249,f8310,f8314,f8417,f8497,f8498,f8509,f8525,f8780,f8924,f9110,f9115,f9119,f9120,f9121,f9123,f9131,f9955,f10011,f10849,f10984,f10992,f11021,f11024,f11028,f11089,f11123,f11131,f11155,f11159,f11163,f11168,f11172,f11178,f11185,f11324,f11465,f11473,f12123,f12127,f12158,f12163,f12167,f12195,f12200,f12533,f12761,f12938,f13056,f13097,f13101,f13105,f13308,f13854,f13880,f14019,f14080,f14095,f14099,f14106,f14122,f14130,f14134,f14141,f14151,f14194,f14206,f14213,f14225,f14228,f14233]) ).

tff(f14233,plain,
    ( spl13_202
    | spl13_168 ),
    inference(avatar_split_clause,[],[f14162,f11176,f14231]) ).

tff(f14231,plain,
    ( spl13_202
  <=> ( 'c$' = 0.0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_202])]) ).

tff(f11176,plain,
    ( spl13_168
  <=> $less(0.0,'norm$'('c$')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_168])]) ).

tff(f14162,plain,
    ( ( 'c$' = 0.0 )
    | spl13_168 ),
    inference(resolution,[],[f11177,f2053]) ).

tff(f2053,plain,
    ! [X0: $real] :
      ( $less(0.0,'norm$'(X0))
      | ( 0.0 = X0 ) ),
    inference(cnf_transformation,[],[f719]) ).

tff(f719,plain,
    ! [X0: $real] :
      ( ~ $less(0.0,'norm$'(X0))
    <=> ( 0.0 = X0 ) ),
    inference(theory_normalization,[],[f366]) ).

tff(f366,axiom,
    ! [X0: $real] :
      ( ( 0.0 = X0 )
    <=> $lesseq('norm$'(X0),0.0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom364) ).

tff(f11177,plain,
    ( ~ $less(0.0,'norm$'('c$'))
    | spl13_168 ),
    inference(avatar_component_clause,[],[f11176]) ).

tff(f14228,plain,
    ( spl13_199
    | spl13_168 ),
    inference(avatar_split_clause,[],[f14161,f11176,f14192]) ).

tff(f14192,plain,
    ( spl13_199
  <=> ( 0.0 = 'norm$'('c$') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_199])]) ).

tff(f14161,plain,
    ( ( 0.0 = 'norm$'('c$') )
    | spl13_168 ),
    inference(resolution,[],[f11177,f3306]) ).

tff(f3306,plain,
    ! [X1: $real] :
      ( $less(0.0,'norm$'(X1))
      | ( 0.0 = 'norm$'(X1) ) ),
    inference(resolution,[],[f1882,f2029]) ).

tff(f2029,plain,
    ! [X0: $real] : ~ $less('norm$'(X0),0.0),
    inference(cnf_transformation,[],[f738]) ).

tff(f738,plain,
    ! [X0: $real] : ~ $less('norm$'(X0),0.0),
    inference(theory_normalization,[],[f420]) ).

tff(f420,axiom,
    ! [X0: $real] : $lesseq(0.0,'norm$'(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom418) ).

tff(f1882,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,X1)
      | $less(X1,X0)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f1292]) ).

tff(f1292,plain,
    ! [X0: $real,X1: $real] :
      ( ( $true
        & $less(X1,X0) )
      | $false
      | ( $true
        & $less(X0,X1) )
      | ( X0 = X1 ) ),
    inference(flattening,[],[f1291]) ).

tff(f1291,plain,
    ! [X0: $real,X1: $real] :
      ( $false
      | ( X0 = X1 )
      | ( $true
        & $less(X1,X0) )
      | ( $true
        & $less(X0,X1) ) ),
    inference(ennf_transformation,[],[f1003]) ).

tff(f1003,plain,
    ! [X0: $real,X1: $real] :
      ( ( ( X0 != X1 )
        & ( $less(X1,X0)
         => $false )
        & ( $less(X0,X1)
         => $false ) )
     => $false ),
    inference(rectify,[],[f612]) ).

tff(f612,axiom,
    ! [X1: $real,X0: $real] :
      ( ( ( X0 != X1 )
        & ( $less(X1,X0)
         => $false )
        & ( $less(X0,X1)
         => $false ) )
     => $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom610) ).

tff(f14225,plain,
    ( spl13_201
    | spl13_199
    | spl13_168 ),
    inference(avatar_split_clause,[],[f14221,f11176,f14192,f14223]) ).

tff(f14223,plain,
    ( spl13_201
  <=> ! [X17: $real] : $less('norm$'('c$'),X17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_201])]) ).

tff(f14221,plain,
    ( ! [X17: $real] :
        ( ( 0.0 = 'norm$'('c$') )
        | $less('norm$'('c$'),X17) )
    | spl13_168 ),
    inference(evaluation,[],[f14220]) ).

tff(f14220,plain,
    ( ! [X17: $real] :
        ( ~ $less(0.0,1.0)
        | ( 0.0 = 'norm$'('c$') )
        | $less('norm$'('c$'),X17) )
    | spl13_168 ),
    inference(forward_demodulation,[],[f14177,f14188]) ).

tff(f14188,plain,
    ( ! [X18: $real] : ( 0.0 = 'fun_app$'('divide$'(X18),'norm$'('c$')) )
    | spl13_168 ),
    inference(subsumption_resolution,[],[f14183,f2029]) ).

tff(f14183,plain,
    ( ! [X18: $real] :
        ( $less('norm$'('c$'),0.0)
        | ( 0.0 = 'fun_app$'('divide$'(X18),'norm$'('c$')) ) )
    | spl13_168 ),
    inference(resolution,[],[f11177,f6600]) ).

tff(f6600,plain,
    ! [X0: $real,X1: $real] :
      ( $less(0.0,X0)
      | ( 0.0 = 'fun_app$'('divide$'(X1),X0) )
      | $less(X0,0.0) ),
    inference(subsumption_resolution,[],[f6592,f2565]) ).

tff(f2565,plain,
    ! [X0: $real,X1: $real] :
      ( $less(0.0,X1)
      | $less(X1,0.0)
      | ~ $less(0.0,'fun_app$'('divide$'(X0),X1)) ),
    inference(cnf_transformation,[],[f293]) ).

tff(f293,axiom,
    ! [X1: $real,X0: $real] :
      ( ( ( $less(X1,0.0)
          & $less(X0,0.0) )
        | ( $less(0.0,X1)
          & $less(0.0,X0) ) )
    <=> $less(0.0,'fun_app$'('divide$'(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom291) ).

tff(f6592,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,0.0)
      | ( 0.0 = 'fun_app$'('divide$'(X1),X0) )
      | $less(0.0,X0)
      | $less(0.0,'fun_app$'('divide$'(X1),X0)) ),
    inference(resolution,[],[f1933,f1882]) ).

tff(f1933,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less('fun_app$'('divide$'(X0),X1),0.0)
      | $less(X1,0.0)
      | $less(0.0,X1) ),
    inference(cnf_transformation,[],[f291]) ).

tff(f291,axiom,
    ! [X1: $real,X0: $real] :
      ( $less('fun_app$'('divide$'(X0),X1),0.0)
    <=> ( ( $less(0.0,X1)
          & $less(X0,0.0) )
        | ( $less(X1,0.0)
          & $less(0.0,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom289) ).

tff(f14177,plain,
    ( ! [X17: $real] :
        ( $less('norm$'('c$'),X17)
        | ( 0.0 = 'norm$'('c$') )
        | ~ $less('fun_app$'('divide$'(X17),'norm$'('c$')),1.0) )
    | spl13_168 ),
    inference(resolution,[],[f11177,f2606]) ).

tff(f2606,plain,
    ! [X0: $real,X1: $real] :
      ( $less(0.0,X1)
      | ( 0.0 = X1 )
      | ~ $less('fun_app$'('divide$'(X0),X1),1.0)
      | $less(X1,X0) ),
    inference(cnf_transformation,[],[f321]) ).

tff(f321,axiom,
    ! [X1: $real,X0: $real] :
      ( ( ( $less(X0,X1)
          & $less(0.0,X1) )
        | ( $less(X1,0.0)
          & $less(X1,X0) )
        | ( 0.0 = X1 ) )
    <=> $less('fun_app$'('divide$'(X0),X1),1.0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom319) ).

tff(f14213,plain,
    ( spl13_200
    | spl13_199
    | spl13_168 ),
    inference(avatar_split_clause,[],[f14209,f11176,f14192,f14211]) ).

tff(f14211,plain,
    ( spl13_200
  <=> ! [X8: $real,X7: $real] : ~ $less(X7,X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_200])]) ).

tff(f14209,plain,
    ( ! [X8: $real,X7: $real] :
        ( ( 0.0 = 'norm$'('c$') )
        | ~ $less(X7,X8) )
    | spl13_168 ),
    inference(evaluation,[],[f14208]) ).

tff(f14208,plain,
    ( ! [X8: $real,X7: $real] :
        ( ( 0.0 = 'norm$'('c$') )
        | ~ $less(X7,X8)
        | $less(0.0,0.0) )
    | spl13_168 ),
    inference(forward_demodulation,[],[f14207,f14188]) ).

tff(f14207,plain,
    ( ! [X8: $real,X7: $real] :
        ( $less('fun_app$'('divide$'(X8),'norm$'('c$')),0.0)
        | ~ $less(X7,X8)
        | ( 0.0 = 'norm$'('c$') ) )
    | spl13_168 ),
    inference(forward_demodulation,[],[f14170,f14188]) ).

tff(f14170,plain,
    ( ! [X8: $real,X7: $real] :
        ( $less('fun_app$'('divide$'(X8),'norm$'('c$')),'fun_app$'('divide$'(X7),'norm$'('c$')))
        | ( 0.0 = 'norm$'('c$') )
        | ~ $less(X7,X8) )
    | spl13_168 ),
    inference(resolution,[],[f11177,f2047]) ).

tff(f2047,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less(0.0,X0)
      | ( 0.0 = X0 )
      | ~ $less(X2,X1)
      | $less('fun_app$'('divide$'(X1),X0),'fun_app$'('divide$'(X2),X0)) ),
    inference(cnf_transformation,[],[f1406]) ).

tff(f1406,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less('fun_app$'('divide$'(X1),X0),'fun_app$'('divide$'(X2),X0))
    <=> ( ( $less(X2,X1)
          | ~ $less(X0,0.0) )
        & ( ~ $less(0.0,X0)
          | $less(X1,X2) )
        & ( 0.0 != X0 ) ) ),
    inference(ennf_transformation,[],[f830]) ).

tff(f830,plain,
    ! [X1: $real,X2: $real,X0: $real] :
      ( ( ( 0.0 != X0 )
        & ( $less(X0,0.0)
         => $less(X2,X1) )
        & ( $less(0.0,X0)
         => $less(X1,X2) ) )
    <=> $less('fun_app$'('divide$'(X1),X0),'fun_app$'('divide$'(X2),X0)) ),
    inference(rectify,[],[f292]) ).

tff(f292,axiom,
    ! [X1: $real,X0: $real,X2: $real] :
      ( $less('fun_app$'('divide$'(X0),X1),'fun_app$'('divide$'(X2),X1))
    <=> ( ( 0.0 != X1 )
        & ( $less(0.0,X1)
         => $less(X0,X2) )
        & ( $less(X1,0.0)
         => $less(X2,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom290) ).

tff(f14206,plain,
    ( spl13_199
    | spl13_168 ),
    inference(avatar_split_clause,[],[f14205,f11176,f14192]) ).

tff(f14205,plain,
    ( ( 0.0 = 'norm$'('c$') )
    | spl13_168 ),
    inference(subsumption_resolution,[],[f14180,f5719]) ).

tff(f5719,plain,
    ! [X0: $real] : ~ $less('fun_app$'('divide$'(1.0),'norm$'(X0)),0.0),
    inference(superposition,[],[f2029,f3054]) ).

tff(f3054,plain,
    ! [X0: $real] : ( 'fun_app$'('divide$'(1.0),'norm$'(X0)) = 'norm$'('fun_app$'('divide$'(1.0),X0)) ),
    inference(forward_demodulation,[],[f3053,f2082]) ).

tff(f2082,plain,
    ! [X0: $real] : ( 'inverse$'(X0) = 'fun_app$'('divide$'(1.0),X0) ),
    inference(cnf_transformation,[],[f310]) ).

tff(f310,axiom,
    ! [X0: $real] : ( 'inverse$'(X0) = 'fun_app$'('divide$'(1.0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom308) ).

tff(f3053,plain,
    ! [X0: $real] : ( 'norm$'('inverse$'(X0)) = 'fun_app$'('divide$'(1.0),'norm$'(X0)) ),
    inference(forward_demodulation,[],[f1922,f2082]) ).

tff(f1922,plain,
    ! [X0: $real] : ( 'norm$'('inverse$'(X0)) = 'inverse$'('norm$'(X0)) ),
    inference(cnf_transformation,[],[f181]) ).

tff(f181,axiom,
    ! [X0: $real] : ( 'norm$'('inverse$'(X0)) = 'inverse$'('norm$'(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom179) ).

tff(f14180,plain,
    ( ( 0.0 = 'norm$'('c$') )
    | $less('fun_app$'('divide$'(1.0),'norm$'('c$')),0.0)
    | spl13_168 ),
    inference(resolution,[],[f11177,f3305]) ).

tff(f3305,plain,
    ! [X0: $real] :
      ( $less(0.0,X0)
      | $less('fun_app$'('divide$'(1.0),X0),0.0)
      | ( 0.0 = X0 ) ),
    inference(resolution,[],[f1882,f1560]) ).

tff(f1560,plain,
    ! [X0: $real] :
      ( ~ $less(X0,0.0)
      | $less('fun_app$'('divide$'(1.0),X0),0.0) ),
    inference(cnf_transformation,[],[f805]) ).

tff(f805,plain,
    ! [X0: $real] :
      ( ~ $less('fun_app$'('divide$'(1.0),X0),0.0)
    <=> ~ $less(X0,0.0) ),
    inference(theory_normalization,[],[f355]) ).

tff(f355,axiom,
    ! [X0: $real] :
      ( $lesseq(0.0,X0)
    <=> $lesseq(0.0,'fun_app$'('divide$'(1.0),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom353) ).

tff(f14194,plain,
    ( spl13_199
    | spl13_168 ),
    inference(avatar_split_clause,[],[f14190,f11176,f14192]) ).

tff(f14190,plain,
    ( ( 0.0 = 'norm$'('c$') )
    | spl13_168 ),
    inference(subsumption_resolution,[],[f14187,f2029]) ).

tff(f14187,plain,
    ( ( 0.0 = 'norm$'('c$') )
    | $less('norm$'('c$'),0.0)
    | spl13_168 ),
    inference(resolution,[],[f11177,f1882]) ).

tff(f14151,plain,
    ( ~ spl13_166
    | ~ spl13_196 ),
    inference(avatar_contradiction_clause,[],[f14150]) ).

tff(f14150,plain,
    ( $false
    | ~ spl13_166
    | ~ spl13_196 ),
    inference(evaluation,[],[f14149]) ).

tff(f14149,plain,
    ( $less(2.0,0.0)
    | ~ spl13_166
    | ~ spl13_196 ),
    inference(forward_demodulation,[],[f14148,f2481]) ).

tff(f2481,plain,
    ! [X0: $real] : ( 0.0 = 'fun_app$'('divide$'(0.0),X0) ),
    inference(cnf_transformation,[],[f547]) ).

tff(f547,axiom,
    ! [X0: $real] : ( 0.0 = 'fun_app$'('divide$'(0.0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom545) ).

tff(f14148,plain,
    ( $less(2.0,'fun_app$'('divide$'(0.0),0.0))
    | ~ spl13_166
    | ~ spl13_196 ),
    inference(forward_demodulation,[],[f14105,f11167]) ).

tff(f11167,plain,
    ( ( 0.0 = 'fun_app$a'('power$'('norm$'('c$')),'n$') )
    | ~ spl13_166 ),
    inference(avatar_component_clause,[],[f11166]) ).

tff(f11166,plain,
    ( spl13_166
  <=> ( 0.0 = 'fun_app$a'('power$'('norm$'('c$')),'n$') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_166])]) ).

tff(f14105,plain,
    ( $less(2.0,'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | ~ spl13_196 ),
    inference(avatar_component_clause,[],[f14104]) ).

tff(f14104,plain,
    ( spl13_196
  <=> $less(2.0,'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_196])]) ).

tff(f14141,plain,
    ( ~ spl13_166
    | spl13_194 ),
    inference(avatar_contradiction_clause,[],[f14140]) ).

tff(f14140,plain,
    ( $false
    | ~ spl13_166
    | spl13_194 ),
    inference(evaluation,[],[f14139]) ).

tff(f14139,plain,
    ( ~ $less(0.0,2.0)
    | ~ spl13_166
    | spl13_194 ),
    inference(forward_demodulation,[],[f14115,f2481]) ).

tff(f14115,plain,
    ( ~ $less('fun_app$'('divide$'(0.0),0.0),2.0)
    | ~ spl13_166
    | spl13_194 ),
    inference(backward_demodulation,[],[f14094,f11167]) ).

tff(f14094,plain,
    ( ~ $less('fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$')),2.0)
    | spl13_194 ),
    inference(avatar_component_clause,[],[f14093]) ).

tff(f14093,plain,
    ( spl13_194
  <=> $less('fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$')),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_194])]) ).

tff(f14134,plain,
    ( ~ spl13_161
    | ~ spl13_166 ),
    inference(avatar_contradiction_clause,[],[f14133]) ).

tff(f14133,plain,
    ( $false
    | ~ spl13_161
    | ~ spl13_166 ),
    inference(evaluation,[],[f14132]) ).

tff(f14132,plain,
    ( $less(0.0,0.0)
    | ~ spl13_161
    | ~ spl13_166 ),
    inference(forward_demodulation,[],[f14131,f2680]) ).

tff(f2680,plain,
    ! [X2: $real] : ( 0.0 = 'fun_app$'('divide$'(X2),0.0) ),
    inference(equality_resolution,[],[f2679]) ).

tff(f2679,plain,
    ! [X2: $real,X1: $real] :
      ( ( 0.0 = 'fun_app$'('divide$'(X2),X1) )
      | ( 0.0 != X1 ) ),
    inference(equality_resolution,[],[f2068]) ).

tff(f2068,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ( 'fun_app$'('divide$'(X2),X1) != X0 )
      | ( 0.0 = X0 )
      | ( 0.0 != X1 ) ),
    inference(cnf_transformation,[],[f1303]) ).

tff(f1303,plain,
    ! [X2: $real,X1: $real,X0: $real] :
      ( ( ( ( 0.0 != X1 )
          | ( 0.0 = X0 ) )
        & ( ( 0.0 = X1 )
          | ( 'times$'(X0,X1) = X2 ) ) )
    <=> ( 'fun_app$'('divide$'(X2),X1) = X0 ) ),
    inference(ennf_transformation,[],[f952]) ).

tff(f952,plain,
    ! [X1: $real,X2: $real,X0: $real] :
      ( ( 'fun_app$'('divide$'(X2),X1) = X0 )
    <=> ( ( ( 0.0 = X1 )
         => ( 0.0 = X0 ) )
        & ( ( 0.0 != X1 )
         => ( 'times$'(X0,X1) = X2 ) ) ) ),
    inference(rectify,[],[f281]) ).

tff(f281,axiom,
    ! [X2: $real,X1: $real,X0: $real] :
      ( ( ( ( 0.0 != X1 )
         => ( 'times$'(X2,X1) = X0 ) )
        & ( ( 0.0 = X1 )
         => ( 0.0 = X2 ) ) )
    <=> ( 'fun_app$'('divide$'(X0),X1) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom279) ).

tff(f14131,plain,
    ( $less('fun_app$'('divide$'(2.0),0.0),0.0)
    | ~ spl13_161
    | ~ spl13_166 ),
    inference(forward_demodulation,[],[f14111,f2680]) ).

tff(f14111,plain,
    ( $less('fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),0.0)),0.0)
    | ~ spl13_161
    | ~ spl13_166 ),
    inference(backward_demodulation,[],[f11127,f11167]) ).

tff(f11127,plain,
    ( $less('fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))),'fun_app$a'('power$'('norm$'('c$')),'n$'))
    | ~ spl13_161 ),
    inference(avatar_component_clause,[],[f11126]) ).

tff(f11126,plain,
    ( spl13_161
  <=> $less('fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))),'fun_app$a'('power$'('norm$'('c$')),'n$')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_161])]) ).

tff(f14130,plain,
    ( ~ spl13_198
    | spl13_37
    | ~ spl13_166 ),
    inference(avatar_split_clause,[],[f14126,f11166,f3092,f14128]) ).

tff(f14128,plain,
    ( spl13_198
  <=> $less(0.0,'norm$a'('f$'('n$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_198])]) ).

tff(f3092,plain,
    ( spl13_37
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'norm$a'('f$'('n$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).

tff(f14126,plain,
    ( ~ $less(0.0,'norm$a'('f$'('n$')))
    | spl13_37
    | ~ spl13_166 ),
    inference(forward_demodulation,[],[f14125,f2680]) ).

tff(f14125,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),0.0),'norm$a'('f$'('n$')))
    | spl13_37
    | ~ spl13_166 ),
    inference(forward_demodulation,[],[f14124,f2680]) ).

tff(f14124,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),0.0)),'norm$a'('f$'('n$')))
    | spl13_37
    | ~ spl13_166 ),
    inference(forward_demodulation,[],[f14107,f2680]) ).

tff(f14107,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),0.0))),'norm$a'('f$'('n$')))
    | spl13_37
    | ~ spl13_166 ),
    inference(backward_demodulation,[],[f3093,f11167]) ).

tff(f3093,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'norm$a'('f$'('n$')))
    | spl13_37 ),
    inference(avatar_component_clause,[],[f3092]) ).

tff(f14122,plain,
    ( ~ spl13_197
    | spl13_42
    | ~ spl13_166 ),
    inference(avatar_split_clause,[],[f14118,f11166,f3127,f14120]) ).

tff(f14120,plain,
    ( spl13_197
  <=> $less(0.0,'norm$'('norm$a'('f$'('n$')))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_197])]) ).

tff(f3127,plain,
    ( spl13_42
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'norm$'('norm$a'('f$'('n$')))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).

tff(f14118,plain,
    ( ~ $less(0.0,'norm$'('norm$a'('f$'('n$'))))
    | spl13_42
    | ~ spl13_166 ),
    inference(forward_demodulation,[],[f14117,f2680]) ).

tff(f14117,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),0.0),'norm$'('norm$a'('f$'('n$'))))
    | spl13_42
    | ~ spl13_166 ),
    inference(forward_demodulation,[],[f14116,f2680]) ).

tff(f14116,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),0.0)),'norm$'('norm$a'('f$'('n$'))))
    | spl13_42
    | ~ spl13_166 ),
    inference(forward_demodulation,[],[f14108,f2680]) ).

tff(f14108,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),0.0))),'norm$'('norm$a'('f$'('n$'))))
    | spl13_42
    | ~ spl13_166 ),
    inference(backward_demodulation,[],[f3128,f11167]) ).

tff(f3128,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'norm$'('norm$a'('f$'('n$'))))
    | spl13_42 ),
    inference(avatar_component_clause,[],[f3127]) ).

tff(f14106,plain,
    ( spl13_195
    | spl13_196
    | spl13_194 ),
    inference(avatar_split_clause,[],[f14096,f14093,f14104,f14101]) ).

tff(f14101,plain,
    ( spl13_195
  <=> ( 2.0 = 'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$')) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_195])]) ).

tff(f14096,plain,
    ( $less(2.0,'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | ( 2.0 = 'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$')) )
    | spl13_194 ),
    inference(resolution,[],[f14094,f1882]) ).

tff(f14099,plain,
    ( spl13_166
    | spl13_194 ),
    inference(avatar_split_clause,[],[f14098,f14093,f11166]) ).

tff(f14098,plain,
    ( ( 0.0 = 'fun_app$a'('power$'('norm$'('c$')),'n$') )
    | spl13_194 ),
    inference(evaluation,[],[f14097]) ).

tff(f14097,plain,
    ( ( 0.0 = 'fun_app$a'('power$'('norm$'('c$')),'n$') )
    | ~ $less(1.0,2.0)
    | spl13_194 ),
    inference(superposition,[],[f14094,f1586]) ).

tff(f1586,plain,
    ! [X0: $real] :
      ( ( 1.0 = 'fun_app$'('divide$'(X0),X0) )
      | ( 0.0 = X0 ) ),
    inference(cnf_transformation,[],[f1240]) ).

tff(f1240,plain,
    ! [X0: $real] :
      ( ( 0.0 = X0 )
      | ( 1.0 = 'fun_app$'('divide$'(X0),X0) ) ),
    inference(ennf_transformation,[],[f236]) ).

tff(f236,axiom,
    ! [X0: $real] :
      ( ( 0.0 != X0 )
     => ( 1.0 = 'fun_app$'('divide$'(X0),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom234) ).

tff(f14095,plain,
    ( ~ spl13_194
    | ~ spl13_160
    | spl13_153 ),
    inference(avatar_split_clause,[],[f14085,f10979,f11121,f14093]) ).

tff(f11121,plain,
    ( spl13_160
  <=> $less(0.0,'fun_app$a'('power$'('norm$'('c$')),'n$')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_160])]) ).

tff(f10979,plain,
    ( spl13_153
  <=> $less('fun_app$a'('power$'('norm$'('c$')),'n$'),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_153])]) ).

tff(f14085,plain,
    ( ~ $less(0.0,'fun_app$a'('power$'('norm$'('c$')),'n$'))
    | ~ $less('fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$')),2.0)
    | spl13_153 ),
    inference(resolution,[],[f4916,f10980]) ).

tff(f10980,plain,
    ( ~ $less('fun_app$a'('power$'('norm$'('c$')),'n$'),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))
    | spl13_153 ),
    inference(avatar_component_clause,[],[f10979]) ).

tff(f4916,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less(X1,'fun_app$'('divide$'(X0),'fun_app$'('divide$'(1.0),X2)))
      | ~ $less('fun_app$'('divide$'(X1),X2),X0)
      | ~ $less(0.0,X2) ),
    inference(backward_demodulation,[],[f2211,f4836]) ).

tff(f4836,plain,
    ! [X2: $real,X1: $real] : ( 'times$'(X2,X1) = 'fun_app$'('divide$'(X2),'fun_app$'('divide$'(1.0),X1)) ),
    inference(superposition,[],[f2989,f3178]) ).

tff(f3178,plain,
    ! [X1: $real] : ( 'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),X1)) = X1 ),
    inference(superposition,[],[f2998,f2082]) ).

tff(f2998,plain,
    ! [X0: $real] : ( 'inverse$'('fun_app$'('divide$'(1.0),X0)) = X0 ),
    inference(backward_demodulation,[],[f1927,f2082]) ).

tff(f1927,plain,
    ! [X0: $real] : ( 'inverse$'('inverse$'(X0)) = X0 ),
    inference(cnf_transformation,[],[f203]) ).

tff(f203,axiom,
    ! [X0: $real] : ( 'inverse$'('inverse$'(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom201) ).

tff(f2989,plain,
    ! [X0: $real,X1: $real] : ( 'fun_app$'('divide$'(X0),X1) = 'times$'(X0,'fun_app$'('divide$'(1.0),X1)) ),
    inference(backward_demodulation,[],[f1613,f2082]) ).

tff(f1613,plain,
    ! [X0: $real,X1: $real] : ( 'fun_app$'('divide$'(X0),X1) = 'times$'(X0,'inverse$'(X1)) ),
    inference(cnf_transformation,[],[f308]) ).

tff(f308,axiom,
    ! [X1: $real,X0: $real] : ( 'fun_app$'('divide$'(X0),X1) = 'times$'(X0,'inverse$'(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom306) ).

tff(f2211,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less('fun_app$'('divide$'(X1),X2),X0)
      | ~ $less(0.0,X2)
      | $less(X1,'times$'(X0,X2)) ),
    inference(cnf_transformation,[],[f1342]) ).

tff(f1342,plain,
    ! [X0: $real,X1: $real,X2: $real] :
      ( ( ( ~ $less(0.0,X2)
          | $less(X1,'times$'(X0,X2)) )
        & ( $less(0.0,X2)
          | ( ( $less('times$'(X0,X2),X1)
              | ~ $less(X2,0.0) )
            & ( $less(X2,0.0)
              | $less(0.0,X0) ) ) ) )
    <=> $less('fun_app$'('divide$'(X1),X2),X0) ),
    inference(ennf_transformation,[],[f1038]) ).

tff(f1038,plain,
    ! [X1: $real,X0: $real,X2: $real] :
      ( $less('fun_app$'('divide$'(X1),X2),X0)
    <=> ( ( $less(0.0,X2)
         => $less(X1,'times$'(X0,X2)) )
        & ( ~ $less(0.0,X2)
         => ( ( ~ $less(X2,0.0)
             => $less(0.0,X0) )
            & ( $less(X2,0.0)
             => $less('times$'(X0,X2),X1) ) ) ) ) ),
    inference(rectify,[],[f311]) ).

tff(f311,axiom,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less('fun_app$'('divide$'(X0),X1),X2)
    <=> ( ( $less(0.0,X1)
         => $less(X0,'times$'(X2,X1)) )
        & ( ~ $less(0.0,X1)
         => ( ( $less(X1,0.0)
             => $less('times$'(X2,X1),X0) )
            & ( ~ $less(X1,0.0)
             => $less(0.0,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom309) ).

tff(f14080,plain,
    ( spl13_191
    | ~ spl13_192
    | spl13_193 ),
    inference(avatar_split_clause,[],[f14070,f14078,f14075,f14072]) ).

tff(f14072,plain,
    ( spl13_191
  <=> $less(sK12(1.0),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_191])]) ).

tff(f14075,plain,
    ( spl13_192
  <=> $less(sK12(1.0),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_192])]) ).

tff(f14078,plain,
    ( spl13_193
  <=> $less(0.0,sK12(1.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_193])]) ).

tff(f14070,plain,
    ( $less(0.0,sK12(1.0))
    | ~ $less(sK12(1.0),1.0)
    | $less(sK12(1.0),0.0) ),
    inference(resolution,[],[f12378,f2595]) ).

tff(f2595,plain,
    ! [X0: $real] : $less(X0,sK12(X0)),
    inference(cnf_transformation,[],[f263]) ).

tff(f263,axiom,
    ! [X0: $real] :
    ? [X1: $real] : $less(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom261) ).

tff(f12378,plain,
    ! [X4: $real] :
      ( ~ $less(1.0,X4)
      | $less(X4,0.0)
      | ~ $less(X4,1.0)
      | $less(0.0,X4) ),
    inference(resolution,[],[f11500,f2154]) ).

tff(f2154,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(1.0,'fun_app$'('divide$'(X1),X0))
      | $less(X0,0.0)
      | $less(0.0,X0) ),
    inference(cnf_transformation,[],[f831]) ).

tff(f831,plain,
    ! [X1: $real,X0: $real] :
      ( $less(1.0,'fun_app$'('divide$'(X1),X0))
    <=> ( ( $less(0.0,X0)
          & $less(X0,X1) )
        | ( $less(X1,X0)
          & $less(X0,0.0) ) ) ),
    inference(rectify,[],[f322]) ).

tff(f322,axiom,
    ! [X1: $real,X0: $real] :
      ( ( ( $less(X1,0.0)
          & $less(X0,X1) )
        | ( $less(X1,X0)
          & $less(0.0,X1) ) )
    <=> $less(1.0,'fun_app$'('divide$'(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom320) ).

tff(f11500,plain,
    ! [X3: $real] :
      ( $less(1.0,'fun_app$'('divide$'(1.0),X3))
      | ~ $less(1.0,X3)
      | ~ $less(X3,1.0) ),
    inference(superposition,[],[f3031,f2138]) ).

tff(f2138,plain,
    ! [X0: $real] : ( 'fun_app$'('divide$'(X0),1.0) = X0 ),
    inference(cnf_transformation,[],[f173]) ).

tff(f173,axiom,
    ! [X0: $real] : ( 'fun_app$'('divide$'(X0),1.0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom171) ).

tff(f3031,plain,
    ! [X0: $real,X1: $real] :
      ( $less('fun_app$'('divide$'(1.0),X0),'fun_app$'('divide$'(1.0),X1))
      | ~ $less(X0,X1)
      | ~ $less(X1,X0) ),
    inference(forward_demodulation,[],[f2986,f2082]) ).

tff(f2986,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X1,X0)
      | ~ $less(X0,X1)
      | $less('fun_app$'('divide$'(1.0),X0),'inverse$'(X1)) ),
    inference(backward_demodulation,[],[f1590,f2082]) ).

tff(f1590,plain,
    ! [X0: $real,X1: $real] :
      ( $less('inverse$'(X0),'inverse$'(X1))
      | ~ $less(X1,X0)
      | ~ $less(X0,X1) ),
    inference(cnf_transformation,[],[f1086]) ).

tff(f1086,plain,
    ! [X0: $real,X1: $real] :
      ( $less('inverse$'(X0),'inverse$'(X1))
    <=> ( ( $less(0.0,'times$'(X0,X1))
          | $less(X0,X1) )
        & ( ~ $less(0.0,'times$'(X0,X1))
          | $less(X1,X0) ) ) ),
    inference(ennf_transformation,[],[f646]) ).

tff(f646,plain,
    ! [X1: $real,X0: $real] :
      ( ( ( $less(0.0,'times$'(X0,X1))
         => $less(X1,X0) )
        & ( ~ $less(0.0,'times$'(X0,X1))
         => $less(X0,X1) ) )
    <=> $less('inverse$'(X0),'inverse$'(X1)) ),
    inference(theory_normalization,[],[f468]) ).

tff(f468,axiom,
    ! [X0: $real,X1: $real] :
      ( ( ( $lesseq('times$'(X0,X1),0.0)
         => $less(X0,X1) )
        & ( $less(0.0,'times$'(X0,X1))
         => $less(X1,X0) ) )
    <=> $less('inverse$'(X0),'inverse$'(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom466) ).

tff(f14019,plain,
    spl13_190,
    inference(avatar_split_clause,[],[f14013,f14017]) ).

tff(f14017,plain,
    ( spl13_190
  <=> $less(0.0,'fun_app$'('divide$'(1.0),2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_190])]) ).

tff(f14013,plain,
    $less(0.0,'fun_app$'('divide$'(1.0),2.0)),
    inference(evaluation,[],[f14009]) ).

tff(f14009,plain,
    ( ~ $less(0.0,1.0)
    | $less(0.0,'fun_app$'('divide$'(1.0),2.0)) ),
    inference(superposition,[],[f11988,f2138]) ).

tff(f11988,plain,
    ! [X307: $real] :
      ( $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),X307)))
      | ~ $less(0.0,X307) ),
    inference(superposition,[],[f1988,f3665]) ).

tff(f3665,plain,
    ! [X3: $real,X4: $real] : ( 'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(X3),X4)) = 'fun_app$'('divide$'(X4),X3) ),
    inference(superposition,[],[f1815,f2082]) ).

tff(f1815,plain,
    ! [X0: $real,X1: $real] : ( 'fun_app$'('divide$'(X0),X1) = 'inverse$'('fun_app$'('divide$'(X1),X0)) ),
    inference(cnf_transformation,[],[f1002]) ).

tff(f1002,plain,
    ! [X1: $real,X0: $real] : ( 'fun_app$'('divide$'(X0),X1) = 'inverse$'('fun_app$'('divide$'(X1),X0)) ),
    inference(rectify,[],[f222]) ).

tff(f222,axiom,
    ! [X1: $real,X0: $real] : ( 'fun_app$'('divide$'(X1),X0) = 'inverse$'('fun_app$'('divide$'(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom220) ).

tff(f1988,plain,
    ! [X0: $real] :
      ( $less(0.0,'fun_app$'('divide$'(X0),2.0))
      | ~ $less(0.0,X0) ),
    inference(cnf_transformation,[],[f1271]) ).

tff(f1271,plain,
    ! [X0: $real] :
      ( ~ $less(0.0,X0)
      | $less(0.0,'fun_app$'('divide$'(X0),2.0)) ),
    inference(ennf_transformation,[],[f153]) ).

tff(f153,axiom,
    ! [X0: $real] :
      ( $less(0.0,X0)
     => $less(0.0,'fun_app$'('divide$'(X0),2.0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom151) ).

tff(f13880,plain,
    ( ~ spl13_189
    | spl13_79
    | ~ spl13_156 ),
    inference(avatar_split_clause,[],[f13876,f10990,f5152,f13878]) ).

tff(f13878,plain,
    ( spl13_189
  <=> $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_189])]) ).

tff(f5152,plain,
    ( spl13_79
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_79])]) ).

tff(f10990,plain,
    ( spl13_156
  <=> $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_156])]) ).

tff(f13876,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))))
    | spl13_79
    | ~ spl13_156 ),
    inference(forward_demodulation,[],[f13875,f3178]) ).

tff(f13875,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))))))
    | spl13_79
    | ~ spl13_156 ),
    inference(forward_demodulation,[],[f13792,f4900]) ).

tff(f4900,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( 'fun_app$'('divide$'(X1),'fun_app$'('divide$'(X2),'fun_app$'('divide$'(1.0),X0))) = 'fun_app$'('divide$'('fun_app$'('divide$'(X1),X2)),X0) ),
    inference(backward_demodulation,[],[f1900,f4836]) ).

tff(f1900,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( 'fun_app$'('divide$'(X1),'times$'(X2,X0)) = 'fun_app$'('divide$'('fun_app$'('divide$'(X1),X2)),X0) ),
    inference(cnf_transformation,[],[f864]) ).

tff(f864,plain,
    ! [X2: $real,X1: $real,X0: $real] : ( 'fun_app$'('divide$'(X1),'times$'(X2,X0)) = 'fun_app$'('divide$'('fun_app$'('divide$'(X1),X2)),X0) ),
    inference(rectify,[],[f211]) ).

tff(f211,axiom,
    ! [X2: $real,X0: $real,X1: $real] : ( 'fun_app$'('divide$'('fun_app$'('divide$'(X0),X1)),X2) = 'fun_app$'('divide$'(X0),'times$'(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom209) ).

tff(f13792,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))))
    | spl13_79
    | ~ spl13_156 ),
    inference(resolution,[],[f13791,f5153]) ).

tff(f5153,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_79 ),
    inference(avatar_component_clause,[],[f5152]) ).

tff(f13791,plain,
    ( ! [X0: $real,X1: $real] :
        ( $less('fun_app$'('divide$'(X0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),X1)
        | ~ $less(X0,'fun_app$'('divide$'(X1),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))))) )
    | ~ spl13_156 ),
    inference(resolution,[],[f4912,f10991]) ).

tff(f10991,plain,
    ( $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))
    | ~ spl13_156 ),
    inference(avatar_component_clause,[],[f10990]) ).

tff(f4912,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(0.0,X0)
      | $less('fun_app$'('divide$'(X2),X0),X1)
      | ~ $less(X2,'fun_app$'('divide$'(X1),'fun_app$'('divide$'(1.0),X0))) ),
    inference(backward_demodulation,[],[f2182,f4836]) ).

tff(f2182,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(0.0,X0)
      | ~ $less(X2,'times$'(X1,X0))
      | $less('fun_app$'('divide$'(X2),X0),X1) ),
    inference(cnf_transformation,[],[f1466]) ).

tff(f1466,plain,
    ! [X0: $real,X2: $real,X1: $real] :
      ( ( ~ $less(X2,'times$'(X1,X0))
      <=> ~ $less('fun_app$'('divide$'(X2),X0),X1) )
      | ~ $less(0.0,X0) ),
    inference(ennf_transformation,[],[f803]) ).

tff(f803,plain,
    ! [X2: $real,X1: $real,X0: $real] :
      ( $less(0.0,X0)
     => ( ~ $less(X2,'times$'(X1,X0))
      <=> ~ $less('fun_app$'('divide$'(X2),X0),X1) ) ),
    inference(theory_normalization,[],[f459]) ).

tff(f459,axiom,
    ! [X0: $real,X1: $real,X2: $real] :
      ( $less(0.0,X0)
     => ( $lesseq('times$'(X1,X0),X2)
      <=> $lesseq(X1,'fun_app$'('divide$'(X2),X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom457) ).

tff(f13854,plain,
    ( ~ spl13_188
    | spl13_37
    | ~ spl13_156 ),
    inference(avatar_split_clause,[],[f13850,f10990,f3092,f13852]) ).

tff(f13852,plain,
    ( spl13_188
  <=> $less(1.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(1.0),'norm$a'('f$'('n$'))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_188])]) ).

tff(f13850,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(1.0),'norm$a'('f$'('n$')))))))
    | spl13_37
    | ~ spl13_156 ),
    inference(forward_demodulation,[],[f13849,f3178]) ).

tff(f13849,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'norm$a'('f$'('n$')))))))))
    | spl13_37
    | ~ spl13_156 ),
    inference(forward_demodulation,[],[f13848,f4900]) ).

tff(f13848,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'norm$a'('f$'('n$')))))))
    | spl13_37
    | ~ spl13_156 ),
    inference(forward_demodulation,[],[f13847,f4900]) ).

tff(f13847,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'('fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'fun_app$'('divide$'(1.0),'norm$a'('f$'('n$')))))
    | spl13_37
    | ~ spl13_156 ),
    inference(forward_demodulation,[],[f13846,f3178]) ).

tff(f13846,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'('fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'fun_app$'('divide$'(1.0),'norm$a'('f$'('n$')))))))
    | spl13_37
    | ~ spl13_156 ),
    inference(forward_demodulation,[],[f13845,f4900]) ).

tff(f13845,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))),'norm$a'('f$'('n$')))))
    | spl13_37
    | ~ spl13_156 ),
    inference(forward_demodulation,[],[f13802,f3665]) ).

tff(f13802,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'('norm$a'('f$'('n$'))),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))))
    | spl13_37
    | ~ spl13_156 ),
    inference(resolution,[],[f13791,f3093]) ).

tff(f13308,plain,
    ( ~ spl13_187
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f13303,f4634,f13306]) ).

tff(f13306,plain,
    ( spl13_187
  <=> $less(2,'times$c'('fun_app$f'('divide$a'(2),2),2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_187])]) ).

tff(f4634,plain,
    ( spl13_64
  <=> ( 2 = 'of_nat$'('nat$'(2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_64])]) ).

tff(f13303,plain,
    ( ~ $less(2,'times$c'('fun_app$f'('divide$a'(2),2),2))
    | ~ spl13_64 ),
    inference(superposition,[],[f13250,f4635]) ).

tff(f4635,plain,
    ( ( 2 = 'of_nat$'('nat$'(2)) )
    | ~ spl13_64 ),
    inference(avatar_component_clause,[],[f4634]) ).

tff(f13250,plain,
    ( ! [X12: 'Nat$'] : ~ $less(2,'times$c'('fun_app$f'('divide$a'(2),'of_nat$'(X12)),'of_nat$'(X12)))
    | ~ spl13_64 ),
    inference(superposition,[],[f2474,f4635]) ).

tff(f2474,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] : ~ $less('of_nat$'(X1),'times$c'('fun_app$f'('divide$a'('of_nat$'(X1)),'of_nat$'(X0)),'of_nat$'(X0))),
    inference(cnf_transformation,[],[f1028]) ).

tff(f1028,plain,
    ! [X1: 'Nat$',X0: 'Nat$'] : ~ $less('of_nat$'(X1),'times$c'('fun_app$f'('divide$a'('of_nat$'(X1)),'of_nat$'(X0)),'of_nat$'(X0))),
    inference(rectify,[],[f793]) ).

tff(f793,plain,
    ! [X1: 'Nat$',X0: 'Nat$'] : ~ $less('of_nat$'(X0),'times$c'('fun_app$f'('divide$a'('of_nat$'(X0)),'of_nat$'(X1)),'of_nat$'(X1))),
    inference(theory_normalization,[],[f610]) ).

tff(f610,axiom,
    ! [X1: 'Nat$',X0: 'Nat$'] : $lesseq('times$c'('fun_app$f'('divide$a'('of_nat$'(X0)),'of_nat$'(X1)),'of_nat$'(X1)),'of_nat$'(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom608) ).

tff(f13105,plain,
    ( spl13_186
    | ~ spl13_64
    | ~ spl13_72 ),
    inference(avatar_split_clause,[],[f13087,f4727,f4634,f13103]) ).

tff(f13103,plain,
    ( spl13_186
  <=> ( 0 = 'fun_app$f'('divide$a'(2),'times$c'(2,2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_186])]) ).

tff(f4727,plain,
    ( spl13_72
  <=> $less(2,'times$c'(2,2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).

tff(f13087,plain,
    ( ( 0 = 'fun_app$f'('divide$a'(2),'times$c'(2,2)) )
    | ~ spl13_64
    | ~ spl13_72 ),
    inference(resolution,[],[f13026,f4728]) ).

tff(f4728,plain,
    ( $less(2,'times$c'(2,2))
    | ~ spl13_72 ),
    inference(avatar_component_clause,[],[f4727]) ).

tff(f13026,plain,
    ( ! [X12: $int] :
        ( ~ $less(2,X12)
        | ( 0 = 'fun_app$f'('divide$a'(2),X12) ) )
    | ~ spl13_64 ),
    inference(superposition,[],[f13003,f4635]) ).

tff(f13003,plain,
    ! [X34: $int,X33: 'Nat$'] :
      ( ~ $less('of_nat$'(X33),X34)
      | ( 0 = 'fun_app$f'('divide$a'('of_nat$'(X33)),X34) ) ),
    inference(resolution,[],[f2329,f2095]) ).

tff(f2095,plain,
    ! [X0: 'Nat$'] : ~ $less('of_nat$'(X0),0),
    inference(cnf_transformation,[],[f505]) ).

tff(f505,axiom,
    ! [X0: 'Nat$'] : ~ $less('of_nat$'(X0),0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom503) ).

tff(f2329,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,0)
      | ~ $less(X0,X1)
      | ( 0 = 'fun_app$f'('divide$a'(X0),X1) ) ),
    inference(cnf_transformation,[],[f708]) ).

tff(f708,plain,
    ! [X1: $int,X0: $int] :
      ( ( ( 0 = X1 )
        | ( ~ $less(0,X0)
          & $less(X1,X0) )
        | ( $less(X0,X1)
          & ~ $less(X0,0) ) )
    <=> ( 0 = 'fun_app$f'('divide$a'(X0),X1) ) ),
    inference(theory_normalization,[],[f606]) ).

tff(f606,axiom,
    ! [X0: $int,X1: $int] :
      ( ( ( $lesseq(0,X0)
          & $less(X0,X1) )
        | ( 0 = X1 )
        | ( $less(X1,X0)
          & $lesseq(X0,0) ) )
    <=> ( 0 = 'fun_app$f'('divide$a'(X0),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom604) ).

tff(f13101,plain,
    ( spl13_185
    | ~ spl13_64
    | ~ spl13_126 ),
    inference(avatar_split_clause,[],[f13088,f7691,f4634,f13099]) ).

tff(f13099,plain,
    ( spl13_185
  <=> ( 0 = 'fun_app$f'('divide$a'(2),'times$c'(2,'times$c'(2,2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_185])]) ).

tff(f7691,plain,
    ( spl13_126
  <=> $less(2,'times$c'(2,'times$c'(2,2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_126])]) ).

tff(f13088,plain,
    ( ( 0 = 'fun_app$f'('divide$a'(2),'times$c'(2,'times$c'(2,2))) )
    | ~ spl13_64
    | ~ spl13_126 ),
    inference(resolution,[],[f13026,f7692]) ).

tff(f7692,plain,
    ( $less(2,'times$c'(2,'times$c'(2,2)))
    | ~ spl13_126 ),
    inference(avatar_component_clause,[],[f7691]) ).

tff(f13097,plain,
    ( spl13_184
    | ~ spl13_64
    | ~ spl13_69 ),
    inference(avatar_split_clause,[],[f13086,f4713,f4634,f13095]) ).

tff(f13095,plain,
    ( spl13_184
  <=> ( 0 = 'fun_app$f'('divide$a'(2),'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(2)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_184])]) ).

tff(f4713,plain,
    ( spl13_69
  <=> $less(2,'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_69])]) ).

tff(f13086,plain,
    ( ( 0 = 'fun_app$f'('divide$a'(2),'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(2)))) )
    | ~ spl13_64
    | ~ spl13_69 ),
    inference(resolution,[],[f13026,f4714]) ).

tff(f4714,plain,
    ( $less(2,'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(2))))
    | ~ spl13_69 ),
    inference(avatar_component_clause,[],[f4713]) ).

tff(f13056,plain,
    ( spl13_183
    | ~ spl13_44
    | ~ spl13_67 ),
    inference(avatar_split_clause,[],[f13035,f4665,f3238,f13054]) ).

tff(f13054,plain,
    ( spl13_183
  <=> ( 0 = 'fun_app$f'('divide$a'(1),'times$c'(2,2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_183])]) ).

tff(f3238,plain,
    ( spl13_44
  <=> ( 1 = 'of_nat$'('nat$'(1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).

tff(f4665,plain,
    ( spl13_67
  <=> $less(1,'times$c'(2,2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_67])]) ).

tff(f13035,plain,
    ( ( 0 = 'fun_app$f'('divide$a'(1),'times$c'(2,2)) )
    | ~ spl13_44
    | ~ spl13_67 ),
    inference(resolution,[],[f13024,f4666]) ).

tff(f4666,plain,
    ( $less(1,'times$c'(2,2))
    | ~ spl13_67 ),
    inference(avatar_component_clause,[],[f4665]) ).

tff(f13024,plain,
    ( ! [X10: $int] :
        ( ~ $less(1,X10)
        | ( 0 = 'fun_app$f'('divide$a'(1),X10) ) )
    | ~ spl13_44 ),
    inference(superposition,[],[f13003,f3239]) ).

tff(f3239,plain,
    ( ( 1 = 'of_nat$'('nat$'(1)) )
    | ~ spl13_44 ),
    inference(avatar_component_clause,[],[f3238]) ).

tff(f12938,plain,
    ( ~ spl13_182
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f12932,f4634,f12936]) ).

tff(f12936,plain,
    ( spl13_182
  <=> $less(2,'times$c'(2,'fun_app$f'('divide$a'(2),2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_182])]) ).

tff(f12932,plain,
    ( ~ $less(2,'times$c'(2,'fun_app$f'('divide$a'(2),2)))
    | ~ spl13_64 ),
    inference(superposition,[],[f12880,f4635]) ).

tff(f12880,plain,
    ( ! [X12: 'Nat$'] : ~ $less(2,'times$c'('of_nat$'(X12),'fun_app$f'('divide$a'(2),'of_nat$'(X12))))
    | ~ spl13_64 ),
    inference(superposition,[],[f2220,f4635]) ).

tff(f2220,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] : ~ $less('of_nat$'(X1),'times$c'('of_nat$'(X0),'fun_app$f'('divide$a'('of_nat$'(X1)),'of_nat$'(X0)))),
    inference(cnf_transformation,[],[f642]) ).

tff(f642,plain,
    ! [X1: 'Nat$',X0: 'Nat$'] : ~ $less('of_nat$'(X1),'times$c'('of_nat$'(X0),'fun_app$f'('divide$a'('of_nat$'(X1)),'of_nat$'(X0)))),
    inference(theory_normalization,[],[f611]) ).

tff(f611,axiom,
    ! [X0: 'Nat$',X1: 'Nat$'] : $lesseq('times$c'('of_nat$'(X0),'fun_app$f'('divide$a'('of_nat$'(X1)),'of_nat$'(X0))),'of_nat$'(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom609) ).

tff(f12761,plain,
    ( spl13_181
    | spl13_180 ),
    inference(avatar_split_clause,[],[f12747,f12531,f12759]) ).

tff(f12759,plain,
    ( spl13_181
  <=> $less('fun_app$f'('divide$a'(1),'times$c'(2,2)),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_181])]) ).

tff(f12531,plain,
    ( spl13_180
  <=> $less(0,'fun_app$f'('divide$a'(1),'times$c'(2,2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_180])]) ).

tff(f12747,plain,
    ( $less('fun_app$f'('divide$a'(1),'times$c'(2,2)),1)
    | spl13_180 ),
    inference(resolution,[],[f12731,f12532]) ).

tff(f12532,plain,
    ( ~ $less(0,'fun_app$f'('divide$a'(1),'times$c'(2,2)))
    | spl13_180 ),
    inference(avatar_component_clause,[],[f12531]) ).

tff(f12731,plain,
    ! [X8: $int] :
      ( $less(0,X8)
      | $less(X8,1) ),
    inference(evaluation,[],[f12727]) ).

tff(f12727,plain,
    ! [X8: $int] :
      ( ~ $less(0,1)
      | $less(X8,1)
      | $less(0,X8) ),
    inference(superposition,[],[f2054,f2436]) ).

tff(f2436,plain,
    ! [X0: $int] : ( 'fun_app$f'('divide$a'(X0),1) = X0 ),
    inference(cnf_transformation,[],[f214]) ).

tff(f214,axiom,
    ! [X0: $int] : ( 'fun_app$f'('divide$a'(X0),1) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom212) ).

tff(f2054,plain,
    ! [X0: $int,X1: $int] :
      ( $less(0,'fun_app$f'('divide$a'(X0),X1))
      | ~ $less(0,X1)
      | $less(X0,X1) ),
    inference(cnf_transformation,[],[f1448]) ).

tff(f1448,plain,
    ! [X1: $int,X0: $int] :
      ( ~ $less(0,X1)
      | $less(0,'fun_app$f'('divide$a'(X0),X1))
      | $less(X0,X1) ),
    inference(flattening,[],[f1447]) ).

tff(f1447,plain,
    ! [X1: $int,X0: $int] :
      ( $less(0,'fun_app$f'('divide$a'(X0),X1))
      | $less(X0,X1)
      | ~ $less(0,X1) ),
    inference(ennf_transformation,[],[f972]) ).

tff(f972,plain,
    ! [X1: $int,X0: $int] :
      ( ( ~ $less(X0,X1)
        & $less(0,X1) )
     => $less(0,'fun_app$f'('divide$a'(X0),X1)) ),
    inference(rectify,[],[f750]) ).

tff(f750,plain,
    ! [X1: $int,X0: $int] :
      ( ( ~ $less(X1,X0)
        & $less(0,X0) )
     => $less(0,'fun_app$f'('divide$a'(X1),X0)) ),
    inference(theory_normalization,[],[f602]) ).

tff(f602,axiom,
    ! [X1: $int,X0: $int] :
      ( ( $lesseq(X0,X1)
        & $less(0,X0) )
     => $less(0,'fun_app$f'('divide$a'(X1),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom600) ).

tff(f12533,plain,
    ( ~ spl13_180
    | ~ spl13_67 ),
    inference(avatar_split_clause,[],[f12528,f4665,f12531]) ).

tff(f12528,plain,
    ( ~ $less(0,'fun_app$f'('divide$a'(1),'times$c'(2,2)))
    | ~ spl13_67 ),
    inference(evaluation,[],[f12525]) ).

tff(f12525,plain,
    ( ~ $less(0,'fun_app$f'('divide$a'(1),'times$c'(2,2)))
    | ~ $less(0,1)
    | ~ spl13_67 ),
    inference(resolution,[],[f12517,f12475]) ).

tff(f12475,plain,
    ( ! [X13: $int] :
        ( $less('fun_app$f'('divide$a'(X13),'times$c'(2,2)),X13)
        | ~ $less(0,X13) )
    | ~ spl13_67 ),
    inference(resolution,[],[f1611,f4666]) ).

tff(f1611,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(1,X1)
      | ~ $less(0,X0)
      | $less('fun_app$f'('divide$a'(X0),X1),X0) ),
    inference(cnf_transformation,[],[f1079]) ).

tff(f1079,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(0,X0)
      | $less('fun_app$f'('divide$a'(X0),X1),X0)
      | ~ $less(1,X1) ),
    inference(flattening,[],[f1078]) ).

tff(f1078,plain,
    ! [X0: $int,X1: $int] :
      ( $less('fun_app$f'('divide$a'(X0),X1),X0)
      | ~ $less(0,X0)
      | ~ $less(1,X1) ),
    inference(ennf_transformation,[],[f636]) ).

tff(f636,axiom,
    ! [X0: $int,X1: $int] :
      ( ( $less(0,X0)
        & $less(1,X1) )
     => $less('fun_app$f'('divide$a'(X0),X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom634) ).

tff(f12517,plain,
    ! [X8: $int] :
      ( ~ $less(X8,1)
      | ~ $less(0,X8) ),
    inference(evaluation,[],[f12511]) ).

tff(f12511,plain,
    ! [X8: $int] :
      ( ~ $less(0,1)
      | ~ $less(X8,1)
      | ~ $less(0,X8) ),
    inference(superposition,[],[f1678,f2436]) ).

tff(f1678,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(0,'fun_app$f'('divide$a'(X1),X0))
      | ~ $less(0,X0)
      | ~ $less(X1,X0) ),
    inference(cnf_transformation,[],[f1285]) ).

tff(f1285,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(0,X0)
      | ( ~ $less(X1,X0)
      <=> $less(0,'fun_app$f'('divide$a'(X1),X0)) ) ),
    inference(ennf_transformation,[],[f706]) ).

tff(f706,plain,
    ! [X0: $int,X1: $int] :
      ( $less(0,X0)
     => ( ~ $less(X1,X0)
      <=> $less(0,'fun_app$f'('divide$a'(X1),X0)) ) ),
    inference(theory_normalization,[],[f599]) ).

tff(f599,axiom,
    ! [X0: $int,X1: $int] :
      ( $less(0,X0)
     => ( $lesseq(X0,X1)
      <=> $less(0,'fun_app$f'('divide$a'(X1),X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom597) ).

tff(f12200,plain,
    ( spl13_179
    | spl13_176 ),
    inference(avatar_split_clause,[],[f12187,f12161,f12198]) ).

tff(f12198,plain,
    ( spl13_179
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(2.0),sK4(0.0)))),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_179])]) ).

tff(f12161,plain,
    ( spl13_176
  <=> $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(2.0),sK4(0.0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_176])]) ).

tff(f12187,plain,
    ( $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(2.0),sK4(0.0)))),1.0)
    | spl13_176 ),
    inference(resolution,[],[f12162,f3014]) ).

tff(f3014,plain,
    ! [X0: $real] :
      ( $less(0.0,X0)
      | $less('fun_app$'('divide$'(1.0),X0),1.0) ),
    inference(backward_demodulation,[],[f2500,f2082]) ).

tff(f2500,plain,
    ! [X0: $real] :
      ( $less(0.0,X0)
      | $less('inverse$'(X0),1.0) ),
    inference(cnf_transformation,[],[f765]) ).

tff(f765,plain,
    ! [X0: $real] :
      ( ( ~ $less(0.0,X0)
        | $less(1.0,X0) )
    <=> $less('inverse$'(X0),1.0) ),
    inference(theory_normalization,[],[f471]) ).

tff(f471,axiom,
    ! [X0: $real] :
      ( $less('inverse$'(X0),1.0)
    <=> ( $lesseq(X0,0.0)
        | $less(1.0,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom469) ).

tff(f12162,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(2.0),sK4(0.0))))
    | spl13_176 ),
    inference(avatar_component_clause,[],[f12161]) ).

tff(f12195,plain,
    ( ~ spl13_178
    | spl13_176 ),
    inference(avatar_split_clause,[],[f12186,f12161,f12193]) ).

tff(f12193,plain,
    ( spl13_178
  <=> $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(2.0),sK4(0.0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_178])]) ).

tff(f12186,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(2.0),sK4(0.0)))))
    | spl13_176 ),
    inference(resolution,[],[f12162,f3012]) ).

tff(f3012,plain,
    ! [X0: $real] :
      ( $less(0.0,X0)
      | ~ $less(1.0,'fun_app$'('divide$'(1.0),X0)) ),
    inference(backward_demodulation,[],[f2455,f2082]) ).

tff(f2455,plain,
    ! [X0: $real] :
      ( $less(0.0,X0)
      | ~ $less(1.0,'inverse$'(X0)) ),
    inference(cnf_transformation,[],[f813]) ).

tff(f813,plain,
    ! [X0: $real] :
      ( ( ~ $less(X0,1.0)
        | ~ $less(0.0,X0) )
    <=> ~ $less(1.0,'inverse$'(X0)) ),
    inference(theory_normalization,[],[f440]) ).

tff(f440,axiom,
    ! [X0: $real] :
      ( $lesseq('inverse$'(X0),1.0)
    <=> ( $lesseq(X0,0.0)
        | $lesseq(1.0,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom438) ).

tff(f12167,plain,
    ( ~ spl13_177
    | spl13_173 ),
    inference(avatar_split_clause,[],[f12149,f12121,f12165]) ).

tff(f12165,plain,
    ( spl13_177
  <=> $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),sK4(0.0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_177])]) ).

tff(f12121,plain,
    ( spl13_173
  <=> $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),sK4(0.0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_173])]) ).

tff(f12149,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),sK4(0.0)))))
    | spl13_173 ),
    inference(resolution,[],[f12122,f3012]) ).

tff(f12122,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),sK4(0.0))))
    | spl13_173 ),
    inference(avatar_component_clause,[],[f12121]) ).

tff(f12163,plain,
    ( ~ spl13_176
    | spl13_173 ),
    inference(avatar_split_clause,[],[f12159,f12121,f12161]) ).

tff(f12159,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(2.0),sK4(0.0))))
    | spl13_173 ),
    inference(forward_demodulation,[],[f12140,f4889]) ).

tff(f4889,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( 'fun_app$'('divide$'('fun_app$'('divide$'(X0),'fun_app$'('divide$'(1.0),X1))),X2) = 'fun_app$'('divide$'(X0),'fun_app$'('divide$'(X2),X1)) ),
    inference(backward_demodulation,[],[f1645,f4836]) ).

tff(f1645,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( 'fun_app$'('divide$'('times$'(X0,X1)),X2) = 'fun_app$'('divide$'(X0),'fun_app$'('divide$'(X2),X1)) ),
    inference(cnf_transformation,[],[f946]) ).

tff(f946,plain,
    ! [X1: $real,X2: $real,X0: $real] : ( 'fun_app$'('divide$'('times$'(X0,X1)),X2) = 'fun_app$'('divide$'(X0),'fun_app$'('divide$'(X2),X1)) ),
    inference(rectify,[],[f212]) ).

tff(f212,axiom,
    ! [X0: $real,X2: $real,X1: $real] : ( 'fun_app$'('divide$'('times$'(X0,X2)),X1) = 'fun_app$'('divide$'(X0),'fun_app$'('divide$'(X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom210) ).

tff(f12140,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'('fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),sK4(0.0)))),2.0))
    | spl13_173 ),
    inference(resolution,[],[f12122,f1903]) ).

tff(f1903,plain,
    ! [X0: $real] :
      ( $less(0.0,X0)
      | ~ $less(0.0,'fun_app$'('divide$'(X0),2.0)) ),
    inference(cnf_transformation,[],[f152]) ).

tff(f152,axiom,
    ! [X0: $real] :
      ( $less(0.0,'fun_app$'('divide$'(X0),2.0))
    <=> $less(0.0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom150) ).

tff(f12158,plain,
    ( spl13_175
    | spl13_173 ),
    inference(avatar_split_clause,[],[f12150,f12121,f12156]) ).

tff(f12156,plain,
    ( spl13_175
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),sK4(0.0)))),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_175])]) ).

tff(f12150,plain,
    ( $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),sK4(0.0)))),1.0)
    | spl13_173 ),
    inference(resolution,[],[f12122,f3014]) ).

tff(f12127,plain,
    ( ~ spl13_174
    | spl13_102 ),
    inference(avatar_split_clause,[],[f12112,f6532,f12125]) ).

tff(f12125,plain,
    ( spl13_174
  <=> $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_174])]) ).

tff(f6532,plain,
    ( spl13_102
  <=> $less(0.0,'fun_app$'('divide$'(2.0),sK4(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_102])]) ).

tff(f12112,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0)))))
    | spl13_102 ),
    inference(resolution,[],[f4884,f6533]) ).

tff(f6533,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(2.0),sK4(0.0)))
    | spl13_102 ),
    inference(avatar_component_clause,[],[f6532]) ).

tff(f4884,plain,
    ! [X5: $real] :
      ( $less(0.0,X5)
      | ~ $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),X5))) ),
    inference(backward_demodulation,[],[f3842,f4836]) ).

tff(f3842,plain,
    ! [X5: $real] :
      ( $less(0.0,X5)
      | ~ $less(0.0,'times$'(2.0,X5)) ),
    inference(evaluation,[],[f3838]) ).

tff(f3838,plain,
    ! [X5: $real] :
      ( ~ $less(0.0,'times$'(2.0,X5))
      | $less(0.0,X5)
      | ( 2.0 = 0.0 ) ),
    inference(superposition,[],[f1988,f1578]) ).

tff(f1578,plain,
    ! [X0: $real,X1: $real] :
      ( ( 'fun_app$'('divide$'('times$'(X1,X0)),X1) = X0 )
      | ( 0.0 = X1 ) ),
    inference(cnf_transformation,[],[f1300]) ).

tff(f1300,plain,
    ! [X0: $real,X1: $real] :
      ( ( 0.0 = X1 )
      | ( 'fun_app$'('divide$'('times$'(X1,X0)),X1) = X0 ) ),
    inference(ennf_transformation,[],[f836]) ).

tff(f836,plain,
    ! [X0: $real,X1: $real] :
      ( ( 0.0 != X1 )
     => ( 'fun_app$'('divide$'('times$'(X1,X0)),X1) = X0 ) ),
    inference(rectify,[],[f530]) ).

tff(f530,axiom,
    ! [X1: $real,X0: $real] :
      ( ( 0.0 != X0 )
     => ( 'fun_app$'('divide$'('times$'(X0,X1)),X0) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom528) ).

tff(f12123,plain,
    ( ~ spl13_173
    | spl13_91 ),
    inference(avatar_split_clause,[],[f12107,f6347,f12121]) ).

tff(f6347,plain,
    ( spl13_91
  <=> $less(0.0,sK4(0.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_91])]) ).

tff(f12107,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),sK4(0.0))))
    | spl13_91 ),
    inference(resolution,[],[f4884,f6348]) ).

tff(f6348,plain,
    ( ~ $less(0.0,sK4(0.0))
    | spl13_91 ),
    inference(avatar_component_clause,[],[f6347]) ).

tff(f11473,plain,
    ( ~ spl13_172
    | spl13_171 ),
    inference(avatar_split_clause,[],[f11467,f11463,f11471]) ).

tff(f11471,plain,
    ( spl13_172
  <=> ( 0 = 'times$c'('times$c'(2,2),'times$c'(2,2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_172])]) ).

tff(f11463,plain,
    ( spl13_171
  <=> $less('times$c'('times$c'(2,2),'times$c'(2,2)),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_171])]) ).

tff(f11467,plain,
    ( ( 0 != 'times$c'('times$c'(2,2),'times$c'(2,2)) )
    | spl13_171 ),
    inference(resolution,[],[f11464,f3580]) ).

tff(f3580,plain,
    ! [X14: $int] :
      ( $less('times$c'(X14,X14),1)
      | ( 0 != 'times$c'(X14,X14) ) ),
    inference(superposition,[],[f2399,f3232]) ).

tff(f3232,plain,
    ! [X2: $int] : ( 'times$c'(X2,X2) = 'of_nat$'('nat$'('times$c'(X2,X2))) ),
    inference(resolution,[],[f2409,f2981]) ).

tff(f2981,plain,
    ! [X0: $int] : ~ $less('times$c'(X0,X0),0),
    inference(forward_demodulation,[],[f2294,f1644]) ).

tff(f1644,plain,
    ! [X0: $int] : ( 'fun_app$e'('power$b'(X0),'nat$'(2)) = 'times$c'(X0,X0) ),
    inference(cnf_transformation,[],[f105]) ).

tff(f105,axiom,
    ! [X0: $int] : ( 'fun_app$e'('power$b'(X0),'nat$'(2)) = 'times$c'(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom103) ).

tff(f2294,plain,
    ! [X0: $int] : ~ $less('fun_app$e'('power$b'(X0),'nat$'(2)),0),
    inference(cnf_transformation,[],[f103]) ).

tff(f103,axiom,
    ! [X0: $int] : ~ $less('fun_app$e'('power$b'(X0),'nat$'(2)),0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom101) ).

tff(f2409,plain,
    ! [X0: $int] :
      ( $less(X0,0)
      | ( 'of_nat$'('nat$'(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f1404]) ).

tff(f1404,plain,
    ! [X0: $int] :
      ( ( ( 'of_nat$'('nat$'(X0)) = X0 )
        | $less(X0,0) )
      & ( ( 0 = 'of_nat$'('nat$'(X0)) )
        | ~ $less(X0,0) ) ),
    inference(ennf_transformation,[],[f656]) ).

tff(f656,plain,
    ! [X0: $int] :
      ( ( $less(X0,0)
       => ( 0 = 'of_nat$'('nat$'(X0)) ) )
      & ( ~ $less(X0,0)
       => ( 'of_nat$'('nat$'(X0)) = X0 ) ) ),
    inference(theory_normalization,[],[f640]) ).

tff(f640,axiom,
    ! [X0: $int] :
      ( ( ~ $lesseq(0,X0)
       => ( 0 = 'of_nat$'('nat$'(X0)) ) )
      & ( $lesseq(0,X0)
       => ( 'of_nat$'('nat$'(X0)) = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom638) ).

tff(f2399,plain,
    ! [X0: 'Nat$'] :
      ( $less('of_nat$'(X0),1)
      | ( 0 != 'of_nat$'(X0) ) ),
    inference(cnf_transformation,[],[f333]) ).

tff(f333,axiom,
    ! [X0: 'Nat$'] :
      ( $less('of_nat$'(X0),1)
    <=> ( 0 = 'of_nat$'(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom331) ).

tff(f11464,plain,
    ( ~ $less('times$c'('times$c'(2,2),'times$c'(2,2)),1)
    | spl13_171 ),
    inference(avatar_component_clause,[],[f11463]) ).

tff(f11465,plain,
    ( ~ spl13_171
    | spl13_57
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f11461,f4634,f4127,f11463]) ).

tff(f4127,plain,
    ( spl13_57
  <=> $less('times$c'('of_nat$'('nat$'(2)),'of_nat$'('nat$'(2))),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_57])]) ).

tff(f11461,plain,
    ( ~ $less('times$c'('times$c'(2,2),'times$c'(2,2)),1)
    | spl13_57
    | ~ spl13_64 ),
    inference(superposition,[],[f4658,f1644]) ).

tff(f4658,plain,
    ( ! [X0: 'Nat$'] : ~ $less('times$c'('fun_app$e'('power$b'(2),X0),'fun_app$e'('power$b'(2),X0)),1)
    | spl13_57
    | ~ spl13_64 ),
    inference(backward_demodulation,[],[f4187,f4635]) ).

tff(f4187,plain,
    ( ! [X0: 'Nat$'] : ~ $less('times$c'('fun_app$e'('power$b'('of_nat$'('nat$'(2))),X0),'fun_app$e'('power$b'('of_nat$'('nat$'(2))),X0)),1)
    | spl13_57 ),
    inference(forward_demodulation,[],[f4178,f2295]) ).

tff(f2295,plain,
    ! [X2: $int,X0: 'Nat$',X1: $int] : ( 'fun_app$e'('power$b'('times$c'(X2,X1)),X0) = 'times$c'('fun_app$e'('power$b'(X2),X0),'fun_app$e'('power$b'(X1),X0)) ),
    inference(cnf_transformation,[],[f872]) ).

tff(f872,plain,
    ! [X0: 'Nat$',X1: $int,X2: $int] : ( 'fun_app$e'('power$b'('times$c'(X2,X1)),X0) = 'times$c'('fun_app$e'('power$b'(X2),X0),'fun_app$e'('power$b'(X1),X0)) ),
    inference(rectify,[],[f140]) ).

tff(f140,axiom,
    ! [X2: 'Nat$',X1: $int,X0: $int] : ( 'fun_app$e'('power$b'('times$c'(X0,X1)),X2) = 'times$c'('fun_app$e'('power$b'(X0),X2),'fun_app$e'('power$b'(X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom138) ).

tff(f4178,plain,
    ( ! [X0: 'Nat$'] : ~ $less('fun_app$e'('power$b'('times$c'('of_nat$'('nat$'(2)),'of_nat$'('nat$'(2)))),X0),1)
    | spl13_57 ),
    inference(resolution,[],[f4128,f2137]) ).

tff(f2137,plain,
    ! [X0: $int,X1: 'Nat$'] :
      ( $less(X0,1)
      | ~ $less('fun_app$e'('power$b'(X0),X1),1) ),
    inference(cnf_transformation,[],[f1214]) ).

tff(f1214,plain,
    ! [X1: 'Nat$',X0: $int] :
      ( ~ $less('fun_app$e'('power$b'(X0),X1),1)
      | $less(X0,1) ),
    inference(ennf_transformation,[],[f716]) ).

tff(f716,plain,
    ! [X0: $int,X1: 'Nat$'] :
      ( ~ $less(X0,1)
     => ~ $less('fun_app$e'('power$b'(X0),X1),1) ),
    inference(theory_normalization,[],[f419]) ).

tff(f419,axiom,
    ! [X0: $int,X1: 'Nat$'] :
      ( $lesseq(1,X0)
     => $lesseq(1,'fun_app$e'('power$b'(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom417) ).

tff(f4128,plain,
    ( ~ $less('times$c'('of_nat$'('nat$'(2)),'of_nat$'('nat$'(2))),1)
    | spl13_57 ),
    inference(avatar_component_clause,[],[f4127]) ).

tff(f11324,plain,
    ( spl13_170
    | ~ spl13_128 ),
    inference(avatar_split_clause,[],[f11320,f7783,f11322]) ).

tff(f11322,plain,
    ( spl13_170
  <=> ( 1.0 = sK8(1.0,'one$b') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_170])]) ).

tff(f7783,plain,
    ( spl13_128
  <=> $less(0,'of_nat$'('one$b')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_128])]) ).

tff(f11320,plain,
    ( ( 1.0 = sK8(1.0,'one$b') )
    | ~ spl13_128 ),
    inference(evaluation,[],[f11317]) ).

tff(f11317,plain,
    ( ~ $less(0.0,1.0)
    | ( 1.0 = sK8(1.0,'one$b') )
    | ~ spl13_128 ),
    inference(superposition,[],[f10832,f2493]) ).

tff(f2493,plain,
    ! [X0: 'Nat$'] : ( 1.0 = 'fun_app$a'('power$'(1.0),X0) ),
    inference(cnf_transformation,[],[f53]) ).

tff(f53,axiom,
    ! [X0: 'Nat$'] : ( 1.0 = 'fun_app$a'('power$'(1.0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom51) ).

tff(f10832,plain,
    ( ! [X9: $real] :
        ( ( sK8('fun_app$a'('power$'(X9),'one$b'),'one$b') = X9 )
        | ~ $less(0.0,X9) )
    | ~ spl13_128 ),
    inference(resolution,[],[f2803,f7784]) ).

tff(f7784,plain,
    ( $less(0,'of_nat$'('one$b'))
    | ~ spl13_128 ),
    inference(avatar_component_clause,[],[f7783]) ).

tff(f2803,plain,
    ! [X3: $real,X1: 'Nat$'] :
      ( ~ $less(0,'of_nat$'(X1))
      | ~ $less(0.0,X3)
      | ( sK8('fun_app$a'('power$'(X3),X1),X1) = X3 ) ),
    inference(subsumption_resolution,[],[f2700,f2103]) ).

tff(f2103,plain,
    ! [X0: 'Nat$',X1: $real] :
      ( $less(0.0,'fun_app$a'('power$'(X1),X0))
      | ~ $less(0.0,X1) ),
    inference(cnf_transformation,[],[f1415]) ).

tff(f1415,plain,
    ! [X0: 'Nat$',X1: $real] :
      ( ~ $less(0.0,X1)
      | $less(0.0,'fun_app$a'('power$'(X1),X0)) ),
    inference(ennf_transformation,[],[f966]) ).

tff(f966,plain,
    ! [X1: $real,X0: 'Nat$'] :
      ( $less(0.0,X1)
     => $less(0.0,'fun_app$a'('power$'(X1),X0)) ),
    inference(rectify,[],[f120]) ).

tff(f120,axiom,
    ! [X1: 'Nat$',X0: $real] :
      ( $less(0.0,X0)
     => $less(0.0,'fun_app$a'('power$'(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom118) ).

tff(f2700,plain,
    ! [X3: $real,X1: 'Nat$'] :
      ( ( sK8('fun_app$a'('power$'(X3),X1),X1) = X3 )
      | ~ $less(0,'of_nat$'(X1))
      | ~ $less(0.0,X3)
      | ~ $less(0.0,'fun_app$a'('power$'(X3),X1)) ),
    inference(equality_resolution,[],[f2263]) ).

tff(f2263,plain,
    ! [X3: $real,X0: $real,X1: 'Nat$'] :
      ( ( 'fun_app$a'('power$'(X3),X1) != X0 )
      | ( sK8(X0,X1) = X3 )
      | ~ $less(0.0,X3)
      | ~ $less(0.0,X0)
      | ~ $less(0,'of_nat$'(X1)) ),
    inference(cnf_transformation,[],[f1345]) ).

tff(f1345,plain,
    ! [X0: $real,X1: 'Nat$'] :
      ( ~ $less(0,'of_nat$'(X1))
      | ~ $less(0.0,X0)
      | ? [X2: $real] :
          ( ( 'fun_app$a'('power$'(X2),X1) = X0 )
          & $less(0.0,X2)
          & ! [X3: $real] :
              ( ~ $less(0.0,X3)
              | ( X2 = X3 )
              | ( 'fun_app$a'('power$'(X3),X1) != X0 ) ) ) ),
    inference(flattening,[],[f1344]) ).

tff(f1344,plain,
    ! [X1: 'Nat$',X0: $real] :
      ( ? [X2: $real] :
          ( $less(0.0,X2)
          & ( 'fun_app$a'('power$'(X2),X1) = X0 )
          & ! [X3: $real] :
              ( ( X2 = X3 )
              | ~ $less(0.0,X3)
              | ( 'fun_app$a'('power$'(X3),X1) != X0 ) ) )
      | ~ $less(0.0,X0)
      | ~ $less(0,'of_nat$'(X1)) ),
    inference(ennf_transformation,[],[f931]) ).

tff(f931,plain,
    ! [X1: 'Nat$',X0: $real] :
      ( ( $less(0.0,X0)
        & $less(0,'of_nat$'(X1)) )
     => ? [X2: $real] :
          ( $less(0.0,X2)
          & ( 'fun_app$a'('power$'(X2),X1) = X0 )
          & ! [X3: $real] :
              ( ( $less(0.0,X3)
                & ( 'fun_app$a'('power$'(X3),X1) = X0 ) )
             => ( X2 = X3 ) ) ) ),
    inference(rectify,[],[f520]) ).

tff(f520,axiom,
    ! [X1: $real,X0: 'Nat$'] :
      ( ( $less(0.0,X1)
        & $less(0,'of_nat$'(X0)) )
     => ? [X2: $real] :
          ( ! [X3: $real] :
              ( ( ( 'fun_app$a'('power$'(X3),X0) = X1 )
                & $less(0.0,X3) )
             => ( X2 = X3 ) )
          & ( 'fun_app$a'('power$'(X2),X0) = X1 )
          & $less(0.0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom518) ).

tff(f11185,plain,
    ( spl13_169
    | spl13_160 ),
    inference(avatar_split_clause,[],[f11148,f11121,f11183]) ).

tff(f11183,plain,
    ( spl13_169
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_169])]) ).

tff(f11148,plain,
    ( $less('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')),1.0)
    | spl13_160 ),
    inference(resolution,[],[f11122,f3014]) ).

tff(f11122,plain,
    ( ~ $less(0.0,'fun_app$a'('power$'('norm$'('c$')),'n$'))
    | spl13_160 ),
    inference(avatar_component_clause,[],[f11121]) ).

tff(f11178,plain,
    ( ~ spl13_168
    | spl13_160 ),
    inference(avatar_split_clause,[],[f11132,f11121,f11176]) ).

tff(f11132,plain,
    ( ~ $less(0.0,'norm$'('c$'))
    | spl13_160 ),
    inference(resolution,[],[f11122,f2103]) ).

tff(f11172,plain,
    ( spl13_167
    | spl13_166
    | spl13_160 ),
    inference(avatar_split_clause,[],[f11146,f11121,f11166,f11170]) ).

tff(f11170,plain,
    ( spl13_167
  <=> ! [X15: $real] :
        ( $less('fun_app$a'('power$'('norm$'('c$')),'n$'),X15)
        | ~ $less('fun_app$'('divide$'(X15),'fun_app$a'('power$'('norm$'('c$')),'n$')),1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_167])]) ).

tff(f11146,plain,
    ( ! [X15: $real] :
        ( ( 0.0 = 'fun_app$a'('power$'('norm$'('c$')),'n$') )
        | $less('fun_app$a'('power$'('norm$'('c$')),'n$'),X15)
        | ~ $less('fun_app$'('divide$'(X15),'fun_app$a'('power$'('norm$'('c$')),'n$')),1.0) )
    | spl13_160 ),
    inference(resolution,[],[f11122,f2606]) ).

tff(f11168,plain,
    ( spl13_166
    | spl13_160 ),
    inference(avatar_split_clause,[],[f11164,f11121,f11166]) ).

tff(f11164,plain,
    ( ( 0.0 = 'fun_app$a'('power$'('norm$'('c$')),'n$') )
    | spl13_160 ),
    inference(subsumption_resolution,[],[f11149,f4150]) ).

tff(f4150,plain,
    ! [X0: $real,X1: 'Nat$'] : ~ $less('fun_app$a'('power$'('norm$'(X0)),X1),0.0),
    inference(superposition,[],[f2029,f2445]) ).

tff(f2445,plain,
    ! [X0: $real,X1: 'Nat$'] : ( 'norm$'('fun_app$a'('power$'(X0),X1)) = 'fun_app$a'('power$'('norm$'(X0)),X1) ),
    inference(cnf_transformation,[],[f179]) ).

tff(f179,axiom,
    ! [X1: 'Nat$',X0: $real] : ( 'norm$'('fun_app$a'('power$'(X0),X1)) = 'fun_app$a'('power$'('norm$'(X0)),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom177) ).

tff(f11149,plain,
    ( ( 0.0 = 'fun_app$a'('power$'('norm$'('c$')),'n$') )
    | $less('fun_app$a'('power$'('norm$'('c$')),'n$'),0.0)
    | spl13_160 ),
    inference(resolution,[],[f11122,f1882]) ).

tff(f11163,plain,
    ( ~ spl13_165
    | spl13_160 ),
    inference(avatar_split_clause,[],[f11147,f11121,f11161]) ).

tff(f11161,plain,
    ( spl13_165
  <=> $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_165])]) ).

tff(f11147,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_160 ),
    inference(resolution,[],[f11122,f3012]) ).

tff(f11159,plain,
    ( ~ spl13_164
    | spl13_160 ),
    inference(avatar_split_clause,[],[f11133,f11121,f11157]) ).

tff(f11157,plain,
    ( spl13_164
  <=> $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_164])]) ).

tff(f11133,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_160 ),
    inference(resolution,[],[f11122,f1565]) ).

tff(f1565,plain,
    ! [X0: $real] :
      ( $less(0.0,X0)
      | ~ $less(0.0,'fun_app$'('divide$'(1.0),X0)) ),
    inference(cnf_transformation,[],[f195]) ).

tff(f195,axiom,
    ! [X0: $real] :
      ( $less(0.0,'fun_app$'('divide$'(1.0),X0))
    <=> $less(0.0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom193) ).

tff(f11155,plain,
    ( ~ spl13_163
    | spl13_160 ),
    inference(avatar_split_clause,[],[f11151,f11121,f11153]) ).

tff(f11153,plain,
    ( spl13_163
  <=> $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_163])]) ).

tff(f11151,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))
    | spl13_160 ),
    inference(forward_demodulation,[],[f11138,f3665]) ).

tff(f11138,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'('fun_app$a'('power$'('norm$'('c$')),'n$')),2.0))
    | spl13_160 ),
    inference(resolution,[],[f11122,f1903]) ).

tff(f11131,plain,
    ( spl13_161
    | spl13_162
    | spl13_153 ),
    inference(avatar_split_clause,[],[f11124,f10979,f11129,f11126]) ).

tff(f11129,plain,
    ( spl13_162
  <=> ( 'fun_app$a'('power$'('norm$'('c$')),'n$') = 'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_162])]) ).

tff(f11124,plain,
    ( ( 'fun_app$a'('power$'('norm$'('c$')),'n$') = 'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))) )
    | $less('fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))),'fun_app$a'('power$'('norm$'('c$')),'n$'))
    | spl13_153 ),
    inference(resolution,[],[f10980,f1882]) ).

tff(f11123,plain,
    ( ~ spl13_153
    | ~ spl13_160
    | spl13_79 ),
    inference(avatar_split_clause,[],[f11093,f5152,f11121,f10979]) ).

tff(f11093,plain,
    ( ~ $less(0.0,'fun_app$a'('power$'('norm$'('c$')),'n$'))
    | ~ $less('fun_app$a'('power$'('norm$'('c$')),'n$'),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))
    | spl13_79 ),
    inference(resolution,[],[f3024,f5153]) ).

tff(f3024,plain,
    ! [X0: $real,X1: $real] :
      ( $less('fun_app$'('divide$'(1.0),X0),'fun_app$'('divide$'(1.0),X1))
      | ~ $less(0.0,X1)
      | ~ $less(X1,X0) ),
    inference(forward_demodulation,[],[f2991,f2082]) ).

tff(f2991,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(0.0,X1)
      | ~ $less(X1,X0)
      | $less('fun_app$'('divide$'(1.0),X0),'inverse$'(X1)) ),
    inference(backward_demodulation,[],[f1748,f2082]) ).

tff(f1748,plain,
    ! [X0: $real,X1: $real] :
      ( $less('inverse$'(X0),'inverse$'(X1))
      | ~ $less(0.0,X1)
      | ~ $less(X1,X0) ),
    inference(cnf_transformation,[],[f1091]) ).

tff(f1091,plain,
    ! [X1: $real,X0: $real] :
      ( ~ $less(0.0,X1)
      | $less('inverse$'(X0),'inverse$'(X1))
      | ~ $less(X1,X0) ),
    inference(flattening,[],[f1090]) ).

tff(f1090,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X1,X0)
      | ~ $less(0.0,X1)
      | $less('inverse$'(X0),'inverse$'(X1)) ),
    inference(ennf_transformation,[],[f1005]) ).

tff(f1005,plain,
    ! [X0: $real,X1: $real] :
      ( ( $less(0.0,X1)
        & ~ $less('inverse$'(X0),'inverse$'(X1)) )
     => ~ $less(X1,X0) ),
    inference(rectify,[],[f774]) ).

tff(f774,plain,
    ! [X1: $real,X0: $real] :
      ( ( ~ $less('inverse$'(X1),'inverse$'(X0))
        & $less(0.0,X0) )
     => ~ $less(X0,X1) ),
    inference(theory_normalization,[],[f439]) ).

tff(f439,axiom,
    ! [X1: $real,X0: $real] :
      ( ( $lesseq('inverse$'(X0),'inverse$'(X1))
        & $less(0.0,X0) )
     => $lesseq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom437) ).

tff(f11089,plain,
    ( ~ spl13_159
    | ~ spl13_26 ),
    inference(avatar_split_clause,[],[f11085,f2920,f11087]) ).

tff(f11087,plain,
    ( spl13_159
  <=> ( 1 = 'of_nat$'('nat$'(2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_159])]) ).

tff(f2920,plain,
    ( spl13_26
  <=> ( 1 = 'numeral$a'('one$') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).

tff(f11085,plain,
    ( ( 1 != 'of_nat$'('nat$'(2)) )
    | ~ spl13_26 ),
    inference(forward_demodulation,[],[f11083,f1834]) ).

tff(f1834,plain,
    ! [X0: 'Nat$'] : ( 'fun_app$d'('power$a'(X0),'nat$'(1)) = X0 ),
    inference(cnf_transformation,[],[f36]) ).

tff(f36,axiom,
    ! [X0: 'Nat$'] : ( 'fun_app$d'('power$a'(X0),'nat$'(1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom34) ).

tff(f11083,plain,
    ( ( 1 != 'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(1))) )
    | ~ spl13_26 ),
    inference(superposition,[],[f10282,f2921]) ).

tff(f2921,plain,
    ( ( 1 = 'numeral$a'('one$') )
    | ~ spl13_26 ),
    inference(avatar_component_clause,[],[f2920]) ).

tff(f10282,plain,
    ! [X1: 'Num$'] : ( 'numeral$a'(X1) != 'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'('numeral$a'(X1)))) ),
    inference(resolution,[],[f3426,f4050]) ).

tff(f4050,plain,
    ! [X0: 'Num$',X1: 'Nat$'] :
      ( ~ $less('numeral$a'(X0),'of_nat$'(X1))
      | ( 'numeral$a'(X0) != 'of_nat$'(X1) ) ),
    inference(superposition,[],[f2301,f3231]) ).

tff(f3231,plain,
    ! [X1: 'Num$'] : ( 'numeral$a'(X1) = 'of_nat$'('nat$'('numeral$a'(X1))) ),
    inference(resolution,[],[f2409,f1759]) ).

tff(f1759,plain,
    ! [X0: 'Num$'] : ~ $less('numeral$a'(X0),0),
    inference(cnf_transformation,[],[f662]) ).

tff(f662,plain,
    ! [X0: 'Num$'] : ~ $less('numeral$a'(X0),0),
    inference(theory_normalization,[],[f400]) ).

tff(f400,axiom,
    ! [X0: 'Num$'] : $lesseq(0,'numeral$a'(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom398) ).

tff(f2301,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( 'of_nat$'(X1) != 'of_nat$'(X0) )
      | ~ $less('of_nat$'(X1),'of_nat$'(X0)) ),
    inference(cnf_transformation,[],[f1185]) ).

tff(f1185,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( 'of_nat$'(X1) != 'of_nat$'(X0) )
      | ~ $less('of_nat$'(X1),'of_nat$'(X0)) ),
    inference(ennf_transformation,[],[f1001]) ).

tff(f1001,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( $less('of_nat$'(X1),'of_nat$'(X0))
     => ( 'of_nat$'(X1) != 'of_nat$'(X0) ) ),
    inference(rectify,[],[f451]) ).

tff(f451,axiom,
    ! [X1: 'Nat$',X0: 'Nat$'] :
      ( $less('of_nat$'(X0),'of_nat$'(X1))
     => ( 'of_nat$'(X1) != 'of_nat$'(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom449) ).

tff(f3426,plain,
    ! [X0: 'Num$'] : $less('numeral$a'(X0),'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'('numeral$a'(X0))))),
    inference(superposition,[],[f2073,f3231]) ).

tff(f2073,plain,
    ! [X0: 'Nat$'] : $less('of_nat$'(X0),'of_nat$'('fun_app$d'('power$a'('nat$'(2)),X0))),
    inference(cnf_transformation,[],[f82]) ).

tff(f82,axiom,
    ! [X0: 'Nat$'] : $less('of_nat$'(X0),'of_nat$'('fun_app$d'('power$a'('nat$'(2)),X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom80) ).

tff(f11028,plain,
    ( ~ spl13_158
    | ~ spl13_43 ),
    inference(avatar_split_clause,[],[f10996,f3216,f11026]) ).

tff(f11026,plain,
    ( spl13_158
  <=> $less('fun_app$'('divide$'(1.0),sK4(0.0)),'fun_app$'('divide$'(1.0),sK4(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_158])]) ).

tff(f3216,plain,
    ( spl13_43
  <=> $less('fun_app$'('divide$'(1.0),sK4(0.0)),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).

tff(f10996,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),sK4(0.0)),'fun_app$'('divide$'(1.0),sK4(0.0)))
    | ~ spl13_43 ),
    inference(resolution,[],[f10977,f3217]) ).

tff(f3217,plain,
    ( $less('fun_app$'('divide$'(1.0),sK4(0.0)),0.0)
    | ~ spl13_43 ),
    inference(avatar_component_clause,[],[f3216]) ).

tff(f10977,plain,
    ! [X4: $real] :
      ( ~ $less(X4,0.0)
      | ~ $less(X4,X4) ),
    inference(evaluation,[],[f10976]) ).

tff(f10976,plain,
    ! [X4: $real] :
      ( $less(1.0,1.0)
      | ~ $less(X4,0.0)
      | ~ $less(X4,X4) ),
    inference(duplicate_literal_removal,[],[f10959]) ).

tff(f10959,plain,
    ! [X4: $real] :
      ( $less(1.0,1.0)
      | $less(1.0,1.0)
      | ~ $less(X4,X4)
      | ~ $less(X4,0.0) ),
    inference(resolution,[],[f3020,f1820]) ).

tff(f1820,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less('fun_app$'('divide$'(X0),X2),'fun_app$'('divide$'(X1),X2))
      | $less(X0,X1)
      | $less(X1,X0) ),
    inference(cnf_transformation,[],[f1279]) ).

tff(f1279,plain,
    ! [X1: $real,X0: $real,X2: $real] :
      ( ( ( ~ $less(X1,X0)
          | ~ $less(X2,0.0) )
        & ( ~ $less(X0,X1)
          | ~ $less(0.0,X2) ) )
    <=> ~ $less('fun_app$'('divide$'(X0),X2),'fun_app$'('divide$'(X1),X2)) ),
    inference(ennf_transformation,[],[f910]) ).

tff(f910,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less('fun_app$'('divide$'(X0),X2),'fun_app$'('divide$'(X1),X2))
    <=> ( ( $less(X2,0.0)
         => ~ $less(X1,X0) )
        & ( $less(0.0,X2)
         => ~ $less(X0,X1) ) ) ),
    inference(rectify,[],[f703]) ).

tff(f703,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ( ( $less(X1,0.0)
         => ~ $less(X0,X2) )
        & ( $less(0.0,X1)
         => ~ $less(X2,X0) ) )
    <=> ~ $less('fun_app$'('divide$'(X2),X1),'fun_app$'('divide$'(X0),X1)) ),
    inference(theory_normalization,[],[f426]) ).

tff(f426,axiom,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ( ( $less(X1,0.0)
         => $lesseq(X2,X0) )
        & ( $less(0.0,X1)
         => $lesseq(X0,X2) ) )
    <=> $lesseq('fun_app$'('divide$'(X0),X1),'fun_app$'('divide$'(X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom424) ).

tff(f3020,plain,
    ! [X0: $real,X1: $real] :
      ( $less('fun_app$'('divide$'(1.0),X1),'fun_app$'('divide$'(1.0),X0))
      | ~ $less(X0,X1)
      | ~ $less(X1,0.0) ),
    inference(forward_demodulation,[],[f3004,f2082]) ).

tff(f3004,plain,
    ! [X0: $real,X1: $real] :
      ( $less('inverse$'(X1),'fun_app$'('divide$'(1.0),X0))
      | ~ $less(X1,0.0)
      | ~ $less(X0,X1) ),
    inference(backward_demodulation,[],[f2122,f2082]) ).

tff(f2122,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X0,X1)
      | $less('inverse$'(X1),'inverse$'(X0))
      | ~ $less(X1,0.0) ),
    inference(cnf_transformation,[],[f1315]) ).

tff(f1315,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X1,0.0)
      | $less('inverse$'(X1),'inverse$'(X0))
      | ~ $less(X0,X1) ),
    inference(flattening,[],[f1314]) ).

tff(f1314,plain,
    ! [X0: $real,X1: $real] :
      ( $less('inverse$'(X1),'inverse$'(X0))
      | ~ $less(X0,X1)
      | ~ $less(X1,0.0) ),
    inference(ennf_transformation,[],[f301]) ).

tff(f301,axiom,
    ! [X0: $real,X1: $real] :
      ( ( $less(X0,X1)
        & $less(X1,0.0) )
     => $less('inverse$'(X1),'inverse$'(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom299) ).

tff(f11024,plain,
    ~ spl13_116,
    inference(avatar_split_clause,[],[f11023,f7316]) ).

tff(f7316,plain,
    ( spl13_116
  <=> $less(sK4(0.0),sK4(0.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_116])]) ).

tff(f11023,plain,
    ~ $less(sK4(0.0),sK4(0.0)),
    inference(evaluation,[],[f11022]) ).

tff(f11022,plain,
    ( ~ $less(sK4(0.0),sK4(0.0))
    | ~ $less(0.0,1.0) ),
    inference(forward_demodulation,[],[f11017,f2481]) ).

tff(f11017,plain,
    ( ~ $less(sK4(0.0),sK4(0.0))
    | ~ $less('fun_app$'('divide$'(0.0),sK4(0.0)),1.0) ),
    inference(resolution,[],[f10977,f6423]) ).

tff(f6423,plain,
    ! [X13: $real] :
      ( $less(sK4(0.0),X13)
      | ~ $less('fun_app$'('divide$'(X13),sK4(0.0)),1.0) ),
    inference(resolution,[],[f1878,f1786]) ).

tff(f1786,plain,
    ! [X0: $real] : $less(sK4(X0),X0),
    inference(cnf_transformation,[],[f262]) ).

tff(f262,axiom,
    ! [X0: $real] :
    ? [X1: $real] : $less(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom260) ).

tff(f1878,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X0,0.0)
      | $less(X0,X1)
      | ~ $less('fun_app$'('divide$'(X1),X0),1.0) ),
    inference(cnf_transformation,[],[f1396]) ).

tff(f1396,plain,
    ! [X1: $real,X0: $real] :
      ( ( ~ $less(X0,X1)
      <=> ~ $less('fun_app$'('divide$'(X1),X0),1.0) )
      | ~ $less(X0,0.0) ),
    inference(ennf_transformation,[],[f651]) ).

tff(f651,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,0.0)
     => ( ~ $less(X0,X1)
      <=> ~ $less('fun_app$'('divide$'(X1),X0),1.0) ) ),
    inference(theory_normalization,[],[f369]) ).

tff(f369,axiom,
    ! [X0: $real,X1: $real] :
      ( $less(X0,0.0)
     => ( $lesseq(X1,X0)
      <=> $lesseq(1.0,'fun_app$'('divide$'(X1),X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom367) ).

tff(f11021,plain,
    ( ~ spl13_157
    | ~ spl13_107 ),
    inference(avatar_split_clause,[],[f10998,f6571,f11019]) ).

tff(f11019,plain,
    ( spl13_157
  <=> $less('fun_app$'('divide$'(2.0),sK4(0.0)),'fun_app$'('divide$'(2.0),sK4(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_157])]) ).

tff(f6571,plain,
    ( spl13_107
  <=> $less('fun_app$'('divide$'(2.0),sK4(0.0)),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_107])]) ).

tff(f10998,plain,
    ( ~ $less('fun_app$'('divide$'(2.0),sK4(0.0)),'fun_app$'('divide$'(2.0),sK4(0.0)))
    | ~ spl13_107 ),
    inference(resolution,[],[f10977,f6572]) ).

tff(f6572,plain,
    ( $less('fun_app$'('divide$'(2.0),sK4(0.0)),0.0)
    | ~ spl13_107 ),
    inference(avatar_component_clause,[],[f6571]) ).

tff(f10992,plain,
    ( spl13_155
    | spl13_156
    | spl13_154 ),
    inference(avatar_split_clause,[],[f10985,f10982,f10990,f10987]) ).

tff(f10987,plain,
    ( spl13_155
  <=> ( 0.0 = 'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_155])]) ).

tff(f10982,plain,
    ( spl13_154
  <=> $less('fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_154])]) ).

tff(f10985,plain,
    ( $less(0.0,'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))
    | ( 0.0 = 'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))) )
    | spl13_154 ),
    inference(resolution,[],[f10983,f1882]) ).

tff(f10983,plain,
    ( ~ $less('fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))),0.0)
    | spl13_154 ),
    inference(avatar_component_clause,[],[f10982]) ).

tff(f10984,plain,
    ( ~ spl13_153
    | ~ spl13_154
    | spl13_79 ),
    inference(avatar_split_clause,[],[f10954,f5152,f10982,f10979]) ).

tff(f10954,plain,
    ( ~ $less('fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))),0.0)
    | ~ $less('fun_app$a'('power$'('norm$'('c$')),'n$'),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))
    | spl13_79 ),
    inference(resolution,[],[f3020,f5153]) ).

tff(f10849,plain,
    ( spl13_152
    | ~ spl13_20 ),
    inference(avatar_split_clause,[],[f10845,f2889,f10847]) ).

tff(f10847,plain,
    ( spl13_152
  <=> ( 1.0 = sK8(1.0,'n$') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_152])]) ).

tff(f2889,plain,
    ( spl13_20
  <=> $less(0,'of_nat$'('n$')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).

tff(f10845,plain,
    ( ( 1.0 = sK8(1.0,'n$') )
    | ~ spl13_20 ),
    inference(evaluation,[],[f10839]) ).

tff(f10839,plain,
    ( ( 1.0 = sK8(1.0,'n$') )
    | ~ $less(0.0,1.0)
    | ~ spl13_20 ),
    inference(superposition,[],[f10828,f2493]) ).

tff(f10828,plain,
    ( ! [X2: $real] :
        ( ( sK8('fun_app$a'('power$'(X2),'n$'),'n$') = X2 )
        | ~ $less(0.0,X2) )
    | ~ spl13_20 ),
    inference(resolution,[],[f2803,f2890]) ).

tff(f2890,plain,
    ( $less(0,'of_nat$'('n$'))
    | ~ spl13_20 ),
    inference(avatar_component_clause,[],[f2889]) ).

tff(f10011,plain,
    ( ~ spl13_151
    | ~ spl13_26 ),
    inference(avatar_split_clause,[],[f10000,f2920,f10009]) ).

tff(f10009,plain,
    ( spl13_151
  <=> ( 1 = 'fun_app$f'('divide$a'('numeral$a'('bit0$'('one$'))),1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_151])]) ).

tff(f10000,plain,
    ( ( 1 != 'fun_app$f'('divide$a'('numeral$a'('bit0$'('one$'))),1) )
    | ~ spl13_26 ),
    inference(superposition,[],[f9900,f2921]) ).

tff(f9900,plain,
    ! [X57: 'Num$'] : ( 1 != 'fun_app$f'('divide$a'('numeral$a'('bit0$'(X57))),'numeral$a'(X57)) ),
    inference(subsumption_resolution,[],[f9816,f2448]) ).

tff(f2448,plain,
    ! [X0: 'Num$'] : ( 'one$' != 'bit0$'(X0) ),
    inference(cnf_transformation,[],[f338]) ).

tff(f338,axiom,
    ! [X0: 'Num$'] :
      ( ( 'one$' = 'bit0$'(X0) )
    <=> $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom336) ).

tff(f9816,plain,
    ! [X57: 'Num$'] :
      ( ( 1 != 'fun_app$f'('divide$a'('numeral$a'('bit0$'(X57))),'numeral$a'(X57)) )
      | ( 'one$' = 'bit0$'('one$') ) ),
    inference(superposition,[],[f2601,f8142]) ).

tff(f8142,plain,
    ! [X2: 'Num$'] : ( 'numeral$a'('bit0$'('one$')) = 'fun_app$f'('divide$a'('numeral$a'('bit0$'(X2))),'numeral$a'(X2)) ),
    inference(subsumption_resolution,[],[f8128,f2485]) ).

tff(f2485,plain,
    ! [X0: 'Num$'] : ( 'numeral$a'(X0) != 0 ),
    inference(cnf_transformation,[],[f95]) ).

tff(f95,axiom,
    ! [X0: 'Num$'] : ( 'numeral$a'(X0) != 0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom93) ).

tff(f8128,plain,
    ! [X2: 'Num$'] :
      ( ( 'numeral$a'(X2) = 0 )
      | ( 'numeral$a'('bit0$'('one$')) = 'fun_app$f'('divide$a'('numeral$a'('bit0$'(X2))),'numeral$a'(X2)) ) ),
    inference(superposition,[],[f1905,f4301]) ).

tff(f4301,plain,
    ! [X0: 'Num$'] : ( 'numeral$a'('bit0$'(X0)) = 'times$c'('numeral$a'('bit0$'('one$')),'numeral$a'(X0)) ),
    inference(superposition,[],[f2041,f2120]) ).

tff(f2120,plain,
    ! [X0: 'Num$'] : ( 'times$a'('bit0$'('one$'),X0) = 'bit0$'(X0) ),
    inference(cnf_transformation,[],[f56]) ).

tff(f56,axiom,
    ! [X0: 'Num$'] : ( 'times$a'('bit0$'('one$'),X0) = 'bit0$'(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom54) ).

tff(f2041,plain,
    ! [X0: 'Num$',X1: 'Num$'] : ( 'numeral$a'('times$a'(X0,X1)) = 'times$c'('numeral$a'(X0),'numeral$a'(X1)) ),
    inference(cnf_transformation,[],[f46]) ).

tff(f46,axiom,
    ! [X0: 'Num$',X1: 'Num$'] : ( 'numeral$a'('times$a'(X0,X1)) = 'times$c'('numeral$a'(X0),'numeral$a'(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom44) ).

tff(f1905,plain,
    ! [X0: $int,X1: $int] :
      ( ( 'fun_app$f'('divide$a'('times$c'(X0,X1)),X1) = X0 )
      | ( 0 = X1 ) ),
    inference(cnf_transformation,[],[f1278]) ).

tff(f1278,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 = X1 )
      | ( 'fun_app$f'('divide$a'('times$c'(X0,X1)),X1) = X0 ) ),
    inference(ennf_transformation,[],[f1036]) ).

tff(f1036,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 != X1 )
     => ( 'fun_app$f'('divide$a'('times$c'(X0,X1)),X1) = X0 ) ),
    inference(rectify,[],[f528]) ).

tff(f528,axiom,
    ! [X1: $int,X0: $int] :
      ( ( 0 != X0 )
     => ( 'fun_app$f'('divide$a'('times$c'(X1,X0)),X0) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom526) ).

tff(f2601,plain,
    ! [X0: 'Num$'] :
      ( ( 1 != 'numeral$a'(X0) )
      | ( 'one$' = X0 ) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,axiom,
    ! [X0: 'Num$'] :
      ( ( 'one$' = X0 )
    <=> ( 1 = 'numeral$a'(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom21) ).

tff(f9955,plain,
    ( ~ spl13_150
    | ~ spl13_26 ),
    inference(avatar_split_clause,[],[f9943,f2920,f9953]) ).

tff(f9953,plain,
    ( spl13_150
  <=> ( 0 = 'fun_app$f'('divide$a'('numeral$a'('bit0$'('one$'))),1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_150])]) ).

tff(f9943,plain,
    ( ( 0 != 'fun_app$f'('divide$a'('numeral$a'('bit0$'('one$'))),1) )
    | ~ spl13_26 ),
    inference(superposition,[],[f9815,f2921]) ).

tff(f9815,plain,
    ! [X56: 'Num$'] : ( 0 != 'fun_app$f'('divide$a'('numeral$a'('bit0$'(X56))),'numeral$a'(X56)) ),
    inference(superposition,[],[f2485,f8142]) ).

tff(f9131,plain,
    ( ~ spl13_116
    | spl13_91
    | ~ spl13_114 ),
    inference(avatar_split_clause,[],[f9130,f7306,f6347,f7316]) ).

tff(f7306,plain,
    ( spl13_114
  <=> ( 1.0 = 'fun_app$'('divide$'(sK4(0.0)),sK4(0.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_114])]) ).

tff(f9130,plain,
    ( ~ $less(sK4(0.0),sK4(0.0))
    | spl13_91
    | ~ spl13_114 ),
    inference(evaluation,[],[f9126]) ).

tff(f9126,plain,
    ( $less(1.0,1.0)
    | ~ $less(sK4(0.0),sK4(0.0))
    | spl13_91
    | ~ spl13_114 ),
    inference(superposition,[],[f6357,f7307]) ).

tff(f7307,plain,
    ( ( 1.0 = 'fun_app$'('divide$'(sK4(0.0)),sK4(0.0)) )
    | ~ spl13_114 ),
    inference(avatar_component_clause,[],[f7306]) ).

tff(f6357,plain,
    ( ! [X2: $real] :
        ( $less('fun_app$'('divide$'(X2),sK4(0.0)),1.0)
        | ~ $less(sK4(0.0),X2) )
    | spl13_91 ),
    inference(resolution,[],[f6348,f1790]) ).

tff(f1790,plain,
    ! [X0: $real,X1: $real] :
      ( $less(0.0,X0)
      | ~ $less(X0,X1)
      | $less('fun_app$'('divide$'(X1),X0),1.0) ),
    inference(cnf_transformation,[],[f1011]) ).

tff(f1011,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less('fun_app$'('divide$'(X1),X0),1.0)
    <=> ( ( ~ $less(X0,X1)
          & $less(X0,0.0) )
        | ( $less(0.0,X0)
          & ~ $less(X1,X0) ) ) ),
    inference(rectify,[],[f779]) ).

tff(f779,plain,
    ! [X1: $real,X0: $real] :
      ( ( ( ~ $less(X1,X0)
          & $less(X1,0.0) )
        | ( $less(0.0,X1)
          & ~ $less(X0,X1) ) )
    <=> ~ $less('fun_app$'('divide$'(X0),X1),1.0) ),
    inference(theory_normalization,[],[f466]) ).

tff(f466,axiom,
    ! [X1: $real,X0: $real] :
      ( ( ( $lesseq(X0,X1)
          & $less(X1,0.0) )
        | ( $less(0.0,X1)
          & $lesseq(X1,X0) ) )
    <=> $lesseq(1.0,'fun_app$'('divide$'(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom464) ).

tff(f9123,plain,
    ( spl13_148
    | ~ spl13_149
    | ~ spl13_77 ),
    inference(avatar_split_clause,[],[f9103,f5086,f9117,f9113]) ).

tff(f9113,plain,
    ( spl13_148
  <=> $less('fun_app$'('divide$'(1.0),sK12(1.0)),sK12(1.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_148])]) ).

tff(f9117,plain,
    ( spl13_149
  <=> $less(0.0,'fun_app$'('divide$'(1.0),sK12(1.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_149])]) ).

tff(f5086,plain,
    ( spl13_77
  <=> $less(1.0,'fun_app$'('divide$'(sK12(1.0)),'fun_app$'('divide$'(1.0),sK12(1.0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_77])]) ).

tff(f9103,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),sK12(1.0)))
    | $less('fun_app$'('divide$'(1.0),sK12(1.0)),sK12(1.0))
    | ~ spl13_77 ),
    inference(resolution,[],[f5087,f2038]) ).

tff(f2038,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(1.0,'fun_app$'('divide$'(X0),X1))
      | ~ $less(0.0,X1)
      | $less(X1,X0) ),
    inference(cnf_transformation,[],[f1215]) ).

tff(f1215,plain,
    ! [X0: $real,X1: $real] :
      ( ( $less(1.0,'fun_app$'('divide$'(X0),X1))
      <=> $less(X1,X0) )
      | ~ $less(0.0,X1) ),
    inference(ennf_transformation,[],[f954]) ).

tff(f954,plain,
    ! [X0: $real,X1: $real] :
      ( $less(0.0,X1)
     => ( $less(1.0,'fun_app$'('divide$'(X0),X1))
      <=> $less(X1,X0) ) ),
    inference(rectify,[],[f196]) ).

tff(f196,axiom,
    ! [X1: $real,X0: $real] :
      ( $less(0.0,X0)
     => ( $less(1.0,'fun_app$'('divide$'(X1),X0))
      <=> $less(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom194) ).

tff(f5087,plain,
    ( $less(1.0,'fun_app$'('divide$'(sK12(1.0)),'fun_app$'('divide$'(1.0),sK12(1.0))))
    | ~ spl13_77 ),
    inference(avatar_component_clause,[],[f5086]) ).

tff(f9121,plain,
    ( spl13_148
    | spl13_147
    | ~ spl13_77 ),
    inference(avatar_split_clause,[],[f9102,f5086,f9108,f9113]) ).

tff(f9108,plain,
    ( spl13_147
  <=> $less(sK12(1.0),'fun_app$'('divide$'(1.0),sK12(1.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_147])]) ).

tff(f9102,plain,
    ( $less(sK12(1.0),'fun_app$'('divide$'(1.0),sK12(1.0)))
    | $less('fun_app$'('divide$'(1.0),sK12(1.0)),sK12(1.0))
    | ~ spl13_77 ),
    inference(resolution,[],[f5087,f2151]) ).

tff(f2151,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(1.0,'fun_app$'('divide$'(X1),X0))
      | $less(X1,X0)
      | $less(X0,X1) ),
    inference(cnf_transformation,[],[f831]) ).

tff(f9120,plain,
    ( spl13_149
    | spl13_147
    | ~ spl13_77 ),
    inference(avatar_split_clause,[],[f9101,f5086,f9108,f9117]) ).

tff(f9101,plain,
    ( $less(sK12(1.0),'fun_app$'('divide$'(1.0),sK12(1.0)))
    | $less(0.0,'fun_app$'('divide$'(1.0),sK12(1.0)))
    | ~ spl13_77 ),
    inference(resolution,[],[f5087,f2152]) ).

tff(f2152,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(1.0,'fun_app$'('divide$'(X1),X0))
      | $less(0.0,X0)
      | $less(X1,X0) ),
    inference(cnf_transformation,[],[f831]) ).

tff(f9119,plain,
    ( spl13_146
    | spl13_149
    | ~ spl13_77 ),
    inference(avatar_split_clause,[],[f9099,f5086,f9117,f9105]) ).

tff(f9105,plain,
    ( spl13_146
  <=> $less('fun_app$'('divide$'(1.0),sK12(1.0)),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_146])]) ).

tff(f9099,plain,
    ( $less(0.0,'fun_app$'('divide$'(1.0),sK12(1.0)))
    | $less('fun_app$'('divide$'(1.0),sK12(1.0)),0.0)
    | ~ spl13_77 ),
    inference(resolution,[],[f5087,f2154]) ).

tff(f9115,plain,
    ( spl13_146
    | spl13_148
    | ~ spl13_77 ),
    inference(avatar_split_clause,[],[f9100,f5086,f9113,f9105]) ).

tff(f9100,plain,
    ( $less('fun_app$'('divide$'(1.0),sK12(1.0)),sK12(1.0))
    | $less('fun_app$'('divide$'(1.0),sK12(1.0)),0.0)
    | ~ spl13_77 ),
    inference(resolution,[],[f5087,f2153]) ).

tff(f2153,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(1.0,'fun_app$'('divide$'(X1),X0))
      | $less(X0,0.0)
      | $less(X0,X1) ),
    inference(cnf_transformation,[],[f831]) ).

tff(f9110,plain,
    ( ~ spl13_146
    | spl13_147
    | ~ spl13_77 ),
    inference(avatar_split_clause,[],[f9098,f5086,f9108,f9105]) ).

tff(f9098,plain,
    ( $less(sK12(1.0),'fun_app$'('divide$'(1.0),sK12(1.0)))
    | ~ $less('fun_app$'('divide$'(1.0),sK12(1.0)),0.0)
    | ~ spl13_77 ),
    inference(resolution,[],[f5087,f2169]) ).

tff(f2169,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(1.0,'fun_app$'('divide$'(X1),X0))
      | ~ $less(X0,0.0)
      | $less(X1,X0) ),
    inference(cnf_transformation,[],[f1175]) ).

tff(f1175,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X0,0.0)
      | ( ~ $less(1.0,'fun_app$'('divide$'(X1),X0))
      <=> ~ $less(X1,X0) ) ),
    inference(ennf_transformation,[],[f660]) ).

tff(f660,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,0.0)
     => ( ~ $less(1.0,'fun_app$'('divide$'(X1),X0))
      <=> ~ $less(X1,X0) ) ),
    inference(theory_normalization,[],[f371]) ).

tff(f371,axiom,
    ! [X0: $real,X1: $real] :
      ( $less(X0,0.0)
     => ( $lesseq(X0,X1)
      <=> $lesseq('fun_app$'('divide$'(X1),X0),1.0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom369) ).

tff(f8924,plain,
    ( ~ spl13_145
    | spl13_86 ),
    inference(avatar_split_clause,[],[f8910,f5860,f8922]) ).

tff(f8922,plain,
    ( spl13_145
  <=> ( 1.0 = 'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'numeral$'('bit0$'('one$')))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_145])]) ).

tff(f5860,plain,
    ( spl13_86
  <=> ( 1.0 = 'times$'('numeral$'('bit0$'('one$')),1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_86])]) ).

tff(f8910,plain,
    ( ( 1.0 != 'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'numeral$'('bit0$'('one$')))) )
    | spl13_86 ),
    inference(superposition,[],[f5861,f5339]) ).

tff(f5339,plain,
    ! [X2: $real,X1: $real] : ( 'times$'(X1,X2) = 'fun_app$'('divide$'(X2),'fun_app$'('divide$'(1.0),X1)) ),
    inference(superposition,[],[f3003,f3178]) ).

tff(f3003,plain,
    ! [X0: $real,X1: $real] : ( 'fun_app$'('divide$'(X0),X1) = 'times$'('fun_app$'('divide$'(1.0),X1),X0) ),
    inference(backward_demodulation,[],[f2100,f2082]) ).

tff(f2100,plain,
    ! [X0: $real,X1: $real] : ( 'fun_app$'('divide$'(X0),X1) = 'times$'('inverse$'(X1),X0) ),
    inference(cnf_transformation,[],[f309]) ).

tff(f309,axiom,
    ! [X0: $real,X1: $real] : ( 'fun_app$'('divide$'(X0),X1) = 'times$'('inverse$'(X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom307) ).

tff(f5861,plain,
    ( ( 1.0 != 'times$'('numeral$'('bit0$'('one$')),1.0) )
    | spl13_86 ),
    inference(avatar_component_clause,[],[f5860]) ).

tff(f8780,plain,
    ( ~ spl13_144
    | spl13_86 ),
    inference(avatar_split_clause,[],[f8776,f5860,f8778]) ).

tff(f8778,plain,
    ( spl13_144
  <=> ( 1.0 = 'fun_app$'('divide$'('numeral$'('bit0$'('one$'))),1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_144])]) ).

tff(f8776,plain,
    ( ( 1.0 != 'fun_app$'('divide$'('numeral$'('bit0$'('one$'))),1.0) )
    | spl13_86 ),
    inference(forward_demodulation,[],[f8767,f2138]) ).

tff(f8767,plain,
    ( ( 1.0 != 'fun_app$'('divide$'('numeral$'('bit0$'('one$'))),'fun_app$'('divide$'(1.0),1.0)) )
    | spl13_86 ),
    inference(superposition,[],[f5861,f4836]) ).

tff(f8525,plain,
    ( ~ spl13_143
    | ~ spl13_44
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f8519,f4634,f3238,f8523]) ).

tff(f8523,plain,
    ( spl13_143
  <=> ( 1 = 'times$c'(1,2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_143])]) ).

tff(f8519,plain,
    ( ( 1 != 'times$c'(1,2) )
    | ~ spl13_44
    | ~ spl13_64 ),
    inference(superposition,[],[f8492,f3239]) ).

tff(f8492,plain,
    ( ! [X8: 'Nat$'] : ( 1 != 'times$c'('of_nat$'(X8),2) )
    | ~ spl13_64 ),
    inference(evaluation,[],[f8490]) ).

tff(f8490,plain,
    ( ! [X8: 'Nat$'] :
        ( ( 1 != 'times$c'('of_nat$'(X8),2) )
        | ( 1 = 2 ) )
    | ~ spl13_64 ),
    inference(superposition,[],[f2390,f4635]) ).

tff(f2390,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( 1 != 'times$c'('of_nat$'(X1),'of_nat$'(X0)) )
      | ( 1 = 'of_nat$'(X0) ) ),
    inference(cnf_transformation,[],[f926]) ).

tff(f926,plain,
    ! [X1: 'Nat$',X0: 'Nat$'] :
      ( ( 1 = 'times$c'('of_nat$'(X1),'of_nat$'(X0)) )
    <=> ( ( 1 = 'of_nat$'(X0) )
        & ( 1 = 'of_nat$'(X1) ) ) ),
    inference(rectify,[],[f348]) ).

tff(f348,axiom,
    ! [X1: 'Nat$',X0: 'Nat$'] :
      ( ( ( 1 = 'of_nat$'(X1) )
        & ( 1 = 'of_nat$'(X0) ) )
    <=> ( 1 = 'times$c'('of_nat$'(X0),'of_nat$'(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom346) ).

tff(f8509,plain,
    ( ~ spl13_142
    | ~ spl13_44
    | ~ spl13_141 ),
    inference(avatar_split_clause,[],[f8502,f8495,f3238,f8507]) ).

tff(f8507,plain,
    ( spl13_142
  <=> ( 1 = 'times$c'(1,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_142])]) ).

tff(f8495,plain,
    ( spl13_141
  <=> ! [X1: 'Nat$'] : ( 1 != 'times$c'('of_nat$'(X1),0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_141])]) ).

tff(f8502,plain,
    ( ( 1 != 'times$c'(1,0) )
    | ~ spl13_44
    | ~ spl13_141 ),
    inference(superposition,[],[f8496,f3239]) ).

tff(f8496,plain,
    ( ! [X1: 'Nat$'] : ( 1 != 'times$c'('of_nat$'(X1),0) )
    | ~ spl13_141 ),
    inference(avatar_component_clause,[],[f8495]) ).

tff(f8498,plain,
    ( spl13_141
    | ~ spl13_49 ),
    inference(avatar_split_clause,[],[f8491,f3585,f8495]) ).

tff(f3585,plain,
    ( spl13_49
  <=> ( 0 = 'of_nat$'('nat$'(0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_49])]) ).

tff(f8491,plain,
    ( ! [X7: 'Nat$'] : ( 1 != 'times$c'('of_nat$'(X7),0) )
    | ~ spl13_49 ),
    inference(evaluation,[],[f8489]) ).

tff(f8489,plain,
    ( ! [X7: 'Nat$'] :
        ( ( 1 != 'times$c'('of_nat$'(X7),0) )
        | ( 1 = 0 ) )
    | ~ spl13_49 ),
    inference(superposition,[],[f2390,f3586]) ).

tff(f3586,plain,
    ( ( 0 = 'of_nat$'('nat$'(0)) )
    | ~ spl13_49 ),
    inference(avatar_component_clause,[],[f3585]) ).

tff(f8497,plain,
    ( spl13_133
    | spl13_141 ),
    inference(avatar_split_clause,[],[f8493,f8495,f8223]) ).

tff(f8223,plain,
    ( spl13_133
  <=> ! [X0: $int] : ( 'of_nat$'('nat$'(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_133])]) ).

tff(f8493,plain,
    ! [X0: $int,X1: 'Nat$'] :
      ( ( 1 != 'times$c'('of_nat$'(X1),0) )
      | ( 'of_nat$'('nat$'(X0)) = X0 ) ),
    inference(evaluation,[],[f8485]) ).

tff(f8485,plain,
    ! [X0: $int,X1: 'Nat$'] :
      ( ( 1 != 'times$c'('of_nat$'(X1),0) )
      | ( 'of_nat$'('nat$'(X0)) = X0 )
      | ( 1 = 0 ) ),
    inference(superposition,[],[f2390,f3244]) ).

tff(f3244,plain,
    ! [X0: $int] :
      ( ( 0 = 'of_nat$'('nat$'(X0)) )
      | ( 'of_nat$'('nat$'(X0)) = X0 ) ),
    inference(resolution,[],[f2410,f2409]) ).

tff(f2410,plain,
    ! [X0: $int] :
      ( ~ $less(X0,0)
      | ( 0 = 'of_nat$'('nat$'(X0)) ) ),
    inference(cnf_transformation,[],[f1404]) ).

tff(f8417,plain,
    ( ~ spl13_140
    | ~ spl13_26
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f8413,f4634,f2920,f8415]) ).

tff(f8415,plain,
    ( spl13_140
  <=> ( 1 = 'times$c'('numeral$a'('bit0$'('one$')),2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_140])]) ).

tff(f8413,plain,
    ( ( 1 != 'times$c'('numeral$a'('bit0$'('one$')),2) )
    | ~ spl13_26
    | ~ spl13_64 ),
    inference(forward_demodulation,[],[f8410,f2683]) ).

tff(f2683,plain,
    ! [X1: $int] : ( 'times$c'(X1,1) = X1 ),
    inference(equality_resolution,[],[f2107]) ).

tff(f2107,plain,
    ! [X0: $int,X1: $int] :
      ( ( 'times$c'(X1,X0) = X1 )
      | ( 1 != X0 ) ),
    inference(cnf_transformation,[],[f901]) ).

tff(f901,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( 1 = X0 )
        | ( 0 = X1 ) )
    <=> ( 'times$c'(X1,X0) = X1 ) ),
    inference(rectify,[],[f558]) ).

tff(f558,axiom,
    ! [X1: $int,X0: $int] :
      ( ( ( 0 = X0 )
        | ( 1 = X1 ) )
    <=> ( 'times$c'(X0,X1) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom556) ).

tff(f8410,plain,
    ( ( 1 != 'times$c'('times$c'('numeral$a'('bit0$'('one$')),1),2) )
    | ~ spl13_26
    | ~ spl13_64 ),
    inference(superposition,[],[f8408,f2921]) ).

tff(f8408,plain,
    ( ! [X2: 'Num$'] : ( 1 != 'times$c'('times$c'('numeral$a'('bit0$'('one$')),'numeral$a'(X2)),2) )
    | ~ spl13_64 ),
    inference(subsumption_resolution,[],[f8407,f6122]) ).

tff(f6122,plain,
    ! [X25: 'Num$'] : ( 1 != 'times$c'('numeral$a'('bit0$'('one$')),'numeral$a'(X25)) ),
    inference(subsumption_resolution,[],[f6074,f2448]) ).

tff(f6074,plain,
    ! [X25: 'Num$'] :
      ( ( 'one$' = 'bit0$'(X25) )
      | ( 1 != 'times$c'('numeral$a'('bit0$'('one$')),'numeral$a'(X25)) ) ),
    inference(superposition,[],[f2601,f4301]) ).

tff(f8407,plain,
    ( ! [X2: 'Num$'] :
        ( ( 1 = 'times$c'('numeral$a'('bit0$'('one$')),'numeral$a'(X2)) )
        | ( 1 != 'times$c'('times$c'('numeral$a'('bit0$'('one$')),'numeral$a'(X2)),2) ) )
    | ~ spl13_64 ),
    inference(superposition,[],[f8397,f4301]) ).

tff(f8397,plain,
    ( ! [X1: 'Num$'] :
        ( ( 1 != 'times$c'('numeral$a'(X1),2) )
        | ( 1 = 'numeral$a'(X1) ) )
    | ~ spl13_64 ),
    inference(superposition,[],[f8218,f3231]) ).

tff(f8218,plain,
    ( ! [X8: 'Nat$'] :
        ( ( 1 != 'times$c'('of_nat$'(X8),2) )
        | ( 1 = 'of_nat$'(X8) ) )
    | ~ spl13_64 ),
    inference(superposition,[],[f2389,f4635]) ).

tff(f2389,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( 1 != 'times$c'('of_nat$'(X1),'of_nat$'(X0)) )
      | ( 1 = 'of_nat$'(X1) ) ),
    inference(cnf_transformation,[],[f926]) ).

tff(f8314,plain,
    ( ~ spl13_139
    | ~ spl13_49
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f8304,f4634,f3585,f8312]) ).

tff(f8312,plain,
    ( spl13_139
  <=> ( 1 = 'times$c'(2,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_139])]) ).

tff(f8304,plain,
    ( ( 1 != 'times$c'(2,0) )
    | ~ spl13_49
    | ~ spl13_64 ),
    inference(superposition,[],[f8221,f3586]) ).

tff(f8221,plain,
    ( ! [X8: 'Nat$'] : ( 1 != 'times$c'(2,'of_nat$'(X8)) )
    | ~ spl13_64 ),
    inference(evaluation,[],[f8212]) ).

tff(f8212,plain,
    ( ! [X8: 'Nat$'] :
        ( ( 1 = 2 )
        | ( 1 != 'times$c'(2,'of_nat$'(X8)) ) )
    | ~ spl13_64 ),
    inference(superposition,[],[f2389,f4635]) ).

tff(f8310,plain,
    ( ~ spl13_138
    | ~ spl13_44
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f8303,f4634,f3238,f8308]) ).

tff(f8308,plain,
    ( spl13_138
  <=> ( 1 = 'times$c'(2,1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_138])]) ).

tff(f8303,plain,
    ( ( 1 != 'times$c'(2,1) )
    | ~ spl13_44
    | ~ spl13_64 ),
    inference(superposition,[],[f8221,f3239]) ).

tff(f8249,plain,
    ( ~ spl13_137
    | ~ spl13_49 ),
    inference(avatar_split_clause,[],[f8234,f3585,f8247]) ).

tff(f8247,plain,
    ( spl13_137
  <=> ( 1 = 'times$c'(0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_137])]) ).

tff(f8234,plain,
    ( ( 1 != 'times$c'(0,0) )
    | ~ spl13_49 ),
    inference(superposition,[],[f8220,f3586]) ).

tff(f8220,plain,
    ( ! [X7: 'Nat$'] : ( 1 != 'times$c'(0,'of_nat$'(X7)) )
    | ~ spl13_49 ),
    inference(evaluation,[],[f8211]) ).

tff(f8211,plain,
    ( ! [X7: 'Nat$'] :
        ( ( 1 != 'times$c'(0,'of_nat$'(X7)) )
        | ( 1 = 0 ) )
    | ~ spl13_49 ),
    inference(superposition,[],[f2389,f3586]) ).

tff(f8245,plain,
    ( ~ spl13_136
    | ~ spl13_44
    | ~ spl13_49 ),
    inference(avatar_split_clause,[],[f8233,f3585,f3238,f8243]) ).

tff(f8243,plain,
    ( spl13_136
  <=> ( 1 = 'times$c'(0,1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_136])]) ).

tff(f8233,plain,
    ( ( 1 != 'times$c'(0,1) )
    | ~ spl13_44
    | ~ spl13_49 ),
    inference(superposition,[],[f8220,f3239]) ).

tff(f8241,plain,
    ( ~ spl13_135
    | ~ spl13_49
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f8235,f4634,f3585,f8239]) ).

tff(f8239,plain,
    ( spl13_135
  <=> ( 1 = 'times$c'(0,2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_135])]) ).

tff(f8235,plain,
    ( ( 1 != 'times$c'(0,2) )
    | ~ spl13_49
    | ~ spl13_64 ),
    inference(superposition,[],[f8220,f4635]) ).

tff(f8229,plain,
    ( spl13_134
    | ~ spl13_49 ),
    inference(avatar_split_clause,[],[f8217,f3585,f8226]) ).

tff(f8226,plain,
    ( spl13_134
  <=> ! [X1: 'Nat$'] :
        ( ( 1 != 'times$c'('of_nat$'(X1),0) )
        | ( 1 = 'of_nat$'(X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_134])]) ).

tff(f8217,plain,
    ( ! [X7: 'Nat$'] :
        ( ( 1 != 'times$c'('of_nat$'(X7),0) )
        | ( 1 = 'of_nat$'(X7) ) )
    | ~ spl13_49 ),
    inference(superposition,[],[f2389,f3586]) ).

tff(f8228,plain,
    ( spl13_133
    | spl13_134 ),
    inference(avatar_split_clause,[],[f8213,f8226,f8223]) ).

tff(f8213,plain,
    ! [X0: $int,X1: 'Nat$'] :
      ( ( 1 != 'times$c'('of_nat$'(X1),0) )
      | ( 'of_nat$'('nat$'(X0)) = X0 )
      | ( 1 = 'of_nat$'(X1) ) ),
    inference(superposition,[],[f2389,f3244]) ).

tff(f8068,plain,
    ( ~ spl13_116
    | ~ spl13_114 ),
    inference(avatar_split_clause,[],[f8067,f7306,f7316]) ).

tff(f8067,plain,
    ( ~ $less(sK4(0.0),sK4(0.0))
    | ~ spl13_114 ),
    inference(subsumption_resolution,[],[f8062,f1786]) ).

tff(f8062,plain,
    ( ~ $less(sK4(0.0),sK4(0.0))
    | ~ $less(sK4(0.0),0.0)
    | ~ spl13_114 ),
    inference(evaluation,[],[f8060]) ).

tff(f8060,plain,
    ( ~ $less(sK4(0.0),0.0)
    | ~ $less(sK4(0.0),sK4(0.0))
    | $less(1.0,1.0)
    | ~ spl13_114 ),
    inference(superposition,[],[f2608,f7307]) ).

tff(f2608,plain,
    ! [X0: $real,X1: $real] :
      ( $less('fun_app$'('divide$'(X0),X1),1.0)
      | ~ $less(X1,X0)
      | ~ $less(X1,0.0) ),
    inference(cnf_transformation,[],[f321]) ).

tff(f8045,plain,
    ( ~ spl13_119
    | ~ spl13_120
    | ~ spl13_117 ),
    inference(avatar_split_clause,[],[f8036,f7363,f7469,f7466]) ).

tff(f7466,plain,
    ( spl13_119
  <=> $less(0.0,'norm$'(sK4(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_119])]) ).

tff(f7469,plain,
    ( spl13_120
  <=> $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_120])]) ).

tff(f7363,plain,
    ( spl13_117
  <=> ( 1.0 = 'fun_app$'('divide$'('norm$'(sK4(0.0))),'norm$'(sK4(0.0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_117])]) ).

tff(f8036,plain,
    ( ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | ~ $less(0.0,'norm$'(sK4(0.0)))
    | ~ spl13_117 ),
    inference(evaluation,[],[f8029]) ).

tff(f8029,plain,
    ( ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | ~ $less(0.0,'norm$'(sK4(0.0)))
    | $less(1.0,1.0)
    | ~ spl13_117 ),
    inference(superposition,[],[f2603,f7364]) ).

tff(f7364,plain,
    ( ( 1.0 = 'fun_app$'('divide$'('norm$'(sK4(0.0))),'norm$'(sK4(0.0))) )
    | ~ spl13_117 ),
    inference(avatar_component_clause,[],[f7363]) ).

tff(f2603,plain,
    ! [X0: $real,X1: $real] :
      ( $less('fun_app$'('divide$'(X0),X1),1.0)
      | ~ $less(X0,X1)
      | ~ $less(0.0,X1) ),
    inference(cnf_transformation,[],[f321]) ).

tff(f8003,plain,
    ( spl13_132
    | ~ spl13_127 ),
    inference(avatar_split_clause,[],[f7998,f7694,f8001]) ).

tff(f8001,plain,
    ( spl13_132
  <=> ( 'times$c'(2,2) = 'fun_app$f'('divide$a'(2),2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_132])]) ).

tff(f7694,plain,
    ( spl13_127
  <=> ( 2 = 'times$c'(2,'times$c'(2,2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_127])]) ).

tff(f7998,plain,
    ( ( 'times$c'(2,2) = 'fun_app$f'('divide$a'(2),2) )
    | ~ spl13_127 ),
    inference(evaluation,[],[f7987]) ).

tff(f7987,plain,
    ( ( 0 = 2 )
    | ( 'times$c'(2,2) = 'fun_app$f'('divide$a'(2),2) )
    | ~ spl13_127 ),
    inference(superposition,[],[f1858,f7695]) ).

tff(f7695,plain,
    ( ( 2 = 'times$c'(2,'times$c'(2,2)) )
    | ~ spl13_127 ),
    inference(avatar_component_clause,[],[f7694]) ).

tff(f1858,plain,
    ! [X0: $int,X1: $int] :
      ( ( 'fun_app$f'('divide$a'('times$c'(X0,X1)),X0) = X1 )
      | ( 0 = X0 ) ),
    inference(cnf_transformation,[],[f1481]) ).

tff(f1481,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 = X0 )
      | ( 'fun_app$f'('divide$a'('times$c'(X0,X1)),X0) = X1 ) ),
    inference(ennf_transformation,[],[f531]) ).

tff(f531,axiom,
    ! [X0: $int,X1: $int] :
      ( ( 0 != X0 )
     => ( 'fun_app$f'('divide$a'('times$c'(X0,X1)),X0) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom529) ).

tff(f7802,plain,
    ( spl13_131
    | ~ spl13_128 ),
    inference(avatar_split_clause,[],[f7787,f7783,f7800]) ).

tff(f7800,plain,
    ( spl13_131
  <=> ( 'zero$' = 'fun_app$d'('power$a'('zero$'),'one$b') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_131])]) ).

tff(f7787,plain,
    ( ( 'zero$' = 'fun_app$d'('power$a'('zero$'),'one$b') )
    | ~ spl13_128 ),
    inference(resolution,[],[f7784,f2741]) ).

tff(f2741,plain,
    ! [X0: 'Nat$'] :
      ( ~ $less(0,'of_nat$'(X0))
      | ( 'zero$' = 'fun_app$d'('power$a'('zero$'),X0) ) ),
    inference(equality_resolution,[],[f2524]) ).

tff(f2524,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( 'zero$' != X1 )
      | ~ $less(0,'of_nat$'(X0))
      | ( 'zero$' = 'fun_app$d'('power$a'(X1),X0) ) ),
    inference(cnf_transformation,[],[f1069]) ).

tff(f1069,plain,
    ! [X1: 'Nat$',X0: 'Nat$'] :
      ( ( 'zero$' = 'fun_app$d'('power$a'(X1),X0) )
    <=> ( $less(0,'of_nat$'(X0))
        & ( 'zero$' = X1 ) ) ),
    inference(rectify,[],[f48]) ).

tff(f48,axiom,
    ! [X1: 'Nat$',X0: 'Nat$'] :
      ( ( 'fun_app$d'('power$a'(X0),X1) = 'zero$' )
    <=> ( $less(0,'of_nat$'(X1))
        & ( 'zero$' = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom46) ).

tff(f7798,plain,
    ( spl13_130
    | ~ spl13_128 ),
    inference(avatar_split_clause,[],[f7788,f7783,f7796]) ).

tff(f7796,plain,
    ( spl13_130
  <=> ( 0 = 'fun_app$e'('power$b'(0),'one$b') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_130])]) ).

tff(f7788,plain,
    ( ( 0 = 'fun_app$e'('power$b'(0),'one$b') )
    | ~ spl13_128 ),
    inference(resolution,[],[f7784,f2636]) ).

tff(f2636,plain,
    ! [X0: 'Nat$'] :
      ( ~ $less(0,'of_nat$'(X0))
      | ( 0 = 'fun_app$e'('power$b'(0),X0) ) ),
    inference(equality_resolution,[],[f1763]) ).

tff(f1763,plain,
    ! [X0: 'Nat$',X1: $int] :
      ( ( 0 != X1 )
      | ~ $less(0,'of_nat$'(X0))
      | ( 0 = 'fun_app$e'('power$b'(X1),X0) ) ),
    inference(cnf_transformation,[],[f994]) ).

tff(f994,plain,
    ! [X0: 'Nat$',X1: $int] :
      ( ( 0 = 'fun_app$e'('power$b'(X1),X0) )
    <=> ( $less(0,'of_nat$'(X0))
        & ( 0 = X1 ) ) ),
    inference(rectify,[],[f49]) ).

tff(f49,axiom,
    ! [X1: 'Nat$',X0: $int] :
      ( ( 'fun_app$e'('power$b'(X0),X1) = 0 )
    <=> ( ( 0 = X0 )
        & $less(0,'of_nat$'(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom47) ).

tff(f7794,plain,
    ( spl13_129
    | ~ spl13_128 ),
    inference(avatar_split_clause,[],[f7789,f7783,f7792]) ).

tff(f7792,plain,
    ( spl13_129
  <=> ( 0.0 = 'fun_app$a'('power$'(0.0),'one$b') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_129])]) ).

tff(f7789,plain,
    ( ( 0.0 = 'fun_app$a'('power$'(0.0),'one$b') )
    | ~ spl13_128 ),
    inference(resolution,[],[f7784,f2632]) ).

tff(f2632,plain,
    ! [X0: 'Nat$'] :
      ( ~ $less(0,'of_nat$'(X0))
      | ( 0.0 = 'fun_app$a'('power$'(0.0),X0) ) ),
    inference(equality_resolution,[],[f1696]) ).

tff(f1696,plain,
    ! [X0: 'Nat$',X1: $real] :
      ( ( 0.0 != X1 )
      | ~ $less(0,'of_nat$'(X0))
      | ( 0.0 = 'fun_app$a'('power$'(X1),X0) ) ),
    inference(cnf_transformation,[],[f886]) ).

tff(f886,plain,
    ! [X0: 'Nat$',X1: $real] :
      ( ( 0.0 = 'fun_app$a'('power$'(X1),X0) )
    <=> ( $less(0,'of_nat$'(X0))
        & ( 0.0 = X1 ) ) ),
    inference(rectify,[],[f47]) ).

tff(f47,axiom,
    ! [X1: 'Nat$',X0: $real] :
      ( ( 0.0 = 'fun_app$a'('power$'(X0),X1) )
    <=> ( ( 0.0 = X0 )
        & $less(0,'of_nat$'(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom45) ).

tff(f7786,plain,
    ( spl13_128
    | ~ spl13_49 ),
    inference(avatar_split_clause,[],[f7779,f3585,f7783]) ).

tff(f7779,plain,
    ( $less(0,'of_nat$'('one$b'))
    | ~ spl13_49 ),
    inference(superposition,[],[f7774,f1689]) ).

tff(f1689,plain,
    ! [X0: 'Nat$'] : ( 'one$b' = 'fun_app$d'('power$a'(X0),'nat$'(0)) ),
    inference(cnf_transformation,[],[f258]) ).

tff(f258,axiom,
    ! [X0: 'Nat$'] : ( 'one$b' = 'fun_app$d'('power$a'(X0),'nat$'(0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom256) ).

tff(f7774,plain,
    ( ! [X7: 'Nat$'] : $less(0,'of_nat$'('fun_app$d'('power$a'(X7),'nat$'(0))))
    | ~ spl13_49 ),
    inference(trivial_inequality_removal,[],[f7771]) ).

tff(f7771,plain,
    ( ! [X7: 'Nat$'] :
        ( $less(0,'of_nat$'('fun_app$d'('power$a'(X7),'nat$'(0))))
        | ( 0 != 0 ) )
    | ~ spl13_49 ),
    inference(superposition,[],[f1796,f3586]) ).

tff(f1796,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( 'of_nat$'(X1) != 0 )
      | $less(0,'of_nat$'('fun_app$d'('power$a'(X0),X1))) ),
    inference(cnf_transformation,[],[f248]) ).

tff(f248,axiom,
    ! [X1: 'Nat$',X0: 'Nat$'] :
      ( $less(0,'of_nat$'('fun_app$d'('power$a'(X0),X1)))
    <=> ( $less(0,'of_nat$'(X0))
        | ( 'of_nat$'(X1) = 0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom246) ).

tff(f7785,plain,
    ( spl13_128
    | ~ spl13_49 ),
    inference(avatar_split_clause,[],[f7780,f3585,f7783]) ).

tff(f7780,plain,
    ( $less(0,'of_nat$'('one$b'))
    | ~ spl13_49 ),
    inference(superposition,[],[f7774,f2404]) ).

tff(f2404,plain,
    ! [X0: 'Nat$'] : ( 'one$b' = 'fun_app$d'('power$a'('one$b'),X0) ),
    inference(cnf_transformation,[],[f54]) ).

tff(f54,axiom,
    ! [X0: 'Nat$'] : ( 'one$b' = 'fun_app$d'('power$a'('one$b'),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom52) ).

tff(f7696,plain,
    ( spl13_126
    | spl13_127
    | spl13_125 ),
    inference(avatar_split_clause,[],[f7689,f7683,f7694,f7691]) ).

tff(f7683,plain,
    ( spl13_125
  <=> $less('times$c'(2,'times$c'(2,2)),2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_125])]) ).

tff(f7689,plain,
    ( ( 2 = 'times$c'(2,'times$c'(2,2)) )
    | $less(2,'times$c'(2,'times$c'(2,2)))
    | spl13_125 ),
    inference(resolution,[],[f7684,f2554]) ).

tff(f2554,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f1497]) ).

tff(f1497,plain,
    ! [X1: $int,X0: $int] :
      ( ( $less(X0,X1)
        & $true )
      | ( X0 = X1 )
      | ( $true
        & $less(X1,X0) )
      | $false ),
    inference(flattening,[],[f1496]) ).

tff(f1496,plain,
    ! [X1: $int,X0: $int] :
      ( $false
      | ( $true
        & $less(X1,X0) )
      | ( $less(X0,X1)
        & $true )
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f613]) ).

tff(f613,axiom,
    ! [X1: $int,X0: $int] :
      ( ( ( $less(X1,X0)
         => $false )
        & ( $less(X0,X1)
         => $false )
        & ( X0 != X1 ) )
     => $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom611) ).

tff(f7684,plain,
    ( ~ $less('times$c'(2,'times$c'(2,2)),2)
    | spl13_125 ),
    inference(avatar_component_clause,[],[f7683]) ).

tff(f7685,plain,
    ( ~ spl13_125
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f7680,f4634,f7683]) ).

tff(f7680,plain,
    ( ~ $less('times$c'(2,'times$c'(2,2)),2)
    | ~ spl13_64 ),
    inference(superposition,[],[f1674,f4635]) ).

tff(f1674,plain,
    ! [X0: 'Nat$'] : ~ $less('times$c'('of_nat$'(X0),'times$c'('of_nat$'(X0),'of_nat$'(X0))),'of_nat$'(X0)),
    inference(cnf_transformation,[],[f724]) ).

tff(f724,plain,
    ! [X0: 'Nat$'] : ~ $less('times$c'('of_nat$'(X0),'times$c'('of_nat$'(X0),'of_nat$'(X0))),'of_nat$'(X0)),
    inference(theory_normalization,[],[f575]) ).

tff(f575,axiom,
    ! [X0: 'Nat$'] : $lesseq('of_nat$'(X0),'times$c'('of_nat$'(X0),'times$c'('of_nat$'(X0),'of_nat$'(X0)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom573) ).

tff(f7654,plain,
    ( ~ spl13_73
    | ~ spl13_64
    | ~ spl13_72 ),
    inference(avatar_split_clause,[],[f7652,f4727,f4634,f4730]) ).

tff(f4730,plain,
    ( spl13_73
  <=> ( 2 = 'times$c'(2,2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).

tff(f7652,plain,
    ( ( 2 != 'times$c'(2,2) )
    | ~ spl13_64
    | ~ spl13_72 ),
    inference(resolution,[],[f4728,f4808]) ).

tff(f4808,plain,
    ( ! [X2: $int] :
        ( ~ $less(2,'times$c'(X2,X2))
        | ( 2 != 'times$c'(X2,X2) ) )
    | ~ spl13_64 ),
    inference(superposition,[],[f4692,f3232]) ).

tff(f4692,plain,
    ( ! [X4: 'Nat$'] :
        ( ~ $less(2,'of_nat$'(X4))
        | ( 2 != 'of_nat$'(X4) ) )
    | ~ spl13_64 ),
    inference(superposition,[],[f2301,f4635]) ).

tff(f7649,plain,
    ( ~ spl13_68
    | ~ spl13_44
    | ~ spl13_67 ),
    inference(avatar_split_clause,[],[f7647,f4665,f3238,f4670]) ).

tff(f4670,plain,
    ( spl13_68
  <=> ( 1 = 'times$c'(2,2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_68])]) ).

tff(f7647,plain,
    ( ( 1 != 'times$c'(2,2) )
    | ~ spl13_44
    | ~ spl13_67 ),
    inference(resolution,[],[f4666,f4061]) ).

tff(f4061,plain,
    ( ! [X1: $int] :
        ( ~ $less(1,'times$c'(X1,X1))
        | ( 1 != 'times$c'(X1,X1) ) )
    | ~ spl13_44 ),
    inference(superposition,[],[f4052,f3232]) ).

tff(f4052,plain,
    ( ! [X4: 'Nat$'] :
        ( ( 1 != 'of_nat$'(X4) )
        | ~ $less(1,'of_nat$'(X4)) )
    | ~ spl13_44 ),
    inference(superposition,[],[f2301,f3239]) ).

tff(f7645,plain,
    ( ~ spl13_124
    | spl13_66 ),
    inference(avatar_split_clause,[],[f7638,f4660,f7643]) ).

tff(f7643,plain,
    ( spl13_124
  <=> ( 0 = 'times$c'(2,2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_124])]) ).

tff(f4660,plain,
    ( spl13_66
  <=> $less('times$c'(2,2),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_66])]) ).

tff(f7638,plain,
    ( ( 0 != 'times$c'(2,2) )
    | spl13_66 ),
    inference(resolution,[],[f4661,f3580]) ).

tff(f4661,plain,
    ( ~ $less('times$c'(2,2),1)
    | spl13_66 ),
    inference(avatar_component_clause,[],[f4660]) ).

tff(f7634,plain,
    ~ spl13_73,
    inference(avatar_contradiction_clause,[],[f7633]) ).

tff(f7633,plain,
    ( $false
    | ~ spl13_73 ),
    inference(evaluation,[],[f7632]) ).

tff(f7632,plain,
    ( ( 0 = 2 )
    | ( 1 = 2 )
    | ~ spl13_73 ),
    inference(trivial_inequality_removal,[],[f7631]) ).

tff(f7631,plain,
    ( ( 0 = 2 )
    | ( 2 != 2 )
    | ( 1 = 2 )
    | ~ spl13_73 ),
    inference(superposition,[],[f1647,f4731]) ).

tff(f4731,plain,
    ( ( 2 = 'times$c'(2,2) )
    | ~ spl13_73 ),
    inference(avatar_component_clause,[],[f4730]) ).

tff(f1647,plain,
    ! [X0: $int,X1: $int] :
      ( ( 'times$c'(X1,X0) != X0 )
      | ( 1 = X1 )
      | ( 0 = X0 ) ),
    inference(cnf_transformation,[],[f562]) ).

tff(f562,axiom,
    ! [X1: $int,X0: $int] :
      ( ( 'times$c'(X1,X0) = X0 )
    <=> ( ( 0 = X0 )
        | ( 1 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom560) ).

tff(f7517,plain,
    ( spl13_122
    | spl13_123
    | spl13_121 ),
    inference(avatar_split_clause,[],[f7510,f7507,f7515,f7512]) ).

tff(f7512,plain,
    ( spl13_122
  <=> $less(sK4(0.0),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_122])]) ).

tff(f7515,plain,
    ( spl13_123
  <=> ( 2.0 = sK4(0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_123])]) ).

tff(f7507,plain,
    ( spl13_121
  <=> $less(2.0,sK4(0.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_121])]) ).

tff(f7510,plain,
    ( ( 2.0 = sK4(0.0) )
    | $less(sK4(0.0),2.0)
    | spl13_121 ),
    inference(resolution,[],[f7508,f1882]) ).

tff(f7508,plain,
    ( ~ $less(2.0,sK4(0.0))
    | spl13_121 ),
    inference(avatar_component_clause,[],[f7507]) ).

tff(f7509,plain,
    ( ~ spl13_121
    | spl13_101 ),
    inference(avatar_split_clause,[],[f7492,f6528,f7507]) ).

tff(f6528,plain,
    ( spl13_101
  <=> $less(1.0,'fun_app$'('divide$'(2.0),sK4(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_101])]) ).

tff(f7492,plain,
    ( ~ $less(2.0,sK4(0.0))
    | spl13_101 ),
    inference(resolution,[],[f6915,f6529]) ).

tff(f6529,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(2.0),sK4(0.0)))
    | spl13_101 ),
    inference(avatar_component_clause,[],[f6528]) ).

tff(f6915,plain,
    ! [X15: $real] :
      ( $less(1.0,'fun_app$'('divide$'(X15),sK4(0.0)))
      | ~ $less(X15,sK4(0.0)) ),
    inference(resolution,[],[f2155,f1786]) ).

tff(f2155,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X0,0.0)
      | $less(1.0,'fun_app$'('divide$'(X1),X0))
      | ~ $less(X1,X0) ),
    inference(cnf_transformation,[],[f831]) ).

tff(f7505,plain,
    ( ~ spl13_116
    | ~ spl13_114 ),
    inference(avatar_split_clause,[],[f7504,f7306,f7316]) ).

tff(f7504,plain,
    ( ~ $less(sK4(0.0),sK4(0.0))
    | ~ spl13_114 ),
    inference(evaluation,[],[f7499]) ).

tff(f7499,plain,
    ( $less(1.0,1.0)
    | ~ $less(sK4(0.0),sK4(0.0))
    | ~ spl13_114 ),
    inference(superposition,[],[f6915,f7307]) ).

tff(f7474,plain,
    ( ~ spl13_120
    | ~ spl13_117 ),
    inference(avatar_split_clause,[],[f7453,f7363,f7469]) ).

tff(f7453,plain,
    ( ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | ~ spl13_117 ),
    inference(evaluation,[],[f7452]) ).

tff(f7452,plain,
    ( ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | $less(1.0,1.0)
    | ~ spl13_117 ),
    inference(duplicate_literal_removal,[],[f7430]) ).

tff(f7430,plain,
    ( $less(1.0,1.0)
    | ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | ~ spl13_117 ),
    inference(superposition,[],[f1792,f7364]) ).

tff(f1792,plain,
    ! [X0: $real,X1: $real] :
      ( $less('fun_app$'('divide$'(X1),X0),1.0)
      | ~ $less(X0,X1)
      | ~ $less(X1,X0) ),
    inference(cnf_transformation,[],[f1011]) ).

tff(f7473,plain,
    ( ~ spl13_120
    | ~ spl13_117 ),
    inference(avatar_split_clause,[],[f7472,f7363,f7469]) ).

tff(f7472,plain,
    ( ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | ~ spl13_117 ),
    inference(subsumption_resolution,[],[f7457,f2029]) ).

tff(f7457,plain,
    ( ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | $less('norm$'(sK4(0.0)),0.0)
    | ~ spl13_117 ),
    inference(evaluation,[],[f7429]) ).

tff(f7429,plain,
    ( $less('norm$'(sK4(0.0)),0.0)
    | $less(1.0,1.0)
    | ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | ~ spl13_117 ),
    inference(superposition,[],[f1791,f7364]) ).

tff(f1791,plain,
    ! [X0: $real,X1: $real] :
      ( $less('fun_app$'('divide$'(X1),X0),1.0)
      | ~ $less(X1,X0)
      | $less(X0,0.0) ),
    inference(cnf_transformation,[],[f1011]) ).

tff(f7471,plain,
    ( ~ spl13_119
    | ~ spl13_120
    | ~ spl13_117 ),
    inference(avatar_split_clause,[],[f7458,f7363,f7469,f7466]) ).

tff(f7458,plain,
    ( ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | ~ $less(0.0,'norm$'(sK4(0.0)))
    | ~ spl13_117 ),
    inference(evaluation,[],[f7440]) ).

tff(f7440,plain,
    ( ~ $less('norm$'(sK4(0.0)),'norm$'(sK4(0.0)))
    | ~ $less(0.0,'norm$'(sK4(0.0)))
    | $less(1.0,1.0)
    | ~ spl13_117 ),
    inference(superposition,[],[f2150,f7364]) ).

tff(f2150,plain,
    ! [X0: $real,X1: $real] :
      ( $less(1.0,'fun_app$'('divide$'(X1),X0))
      | ~ $less(X0,X1)
      | ~ $less(0.0,X0) ),
    inference(cnf_transformation,[],[f831]) ).

tff(f7464,plain,
    ( spl13_118
    | ~ spl13_10
    | ~ spl13_117 ),
    inference(avatar_split_clause,[],[f7460,f7363,f2819,f7462]) ).

tff(f7462,plain,
    ( spl13_118
  <=> ( 1.0 = 'fun_app$'('divide$'('norm$'('norm$'(sK4(0.0)))),'norm$'('norm$'(sK4(0.0)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_118])]) ).

tff(f2819,plain,
    ( spl13_10
  <=> ( 1.0 = 'norm$'(1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).

tff(f7460,plain,
    ( ( 1.0 = 'fun_app$'('divide$'('norm$'('norm$'(sK4(0.0)))),'norm$'('norm$'(sK4(0.0)))) )
    | ~ spl13_10
    | ~ spl13_117 ),
    inference(forward_demodulation,[],[f7449,f2820]) ).

tff(f2820,plain,
    ( ( 1.0 = 'norm$'(1.0) )
    | ~ spl13_10 ),
    inference(avatar_component_clause,[],[f2819]) ).

tff(f7449,plain,
    ( ( 'norm$'(1.0) = 'fun_app$'('divide$'('norm$'('norm$'(sK4(0.0)))),'norm$'('norm$'(sK4(0.0)))) )
    | ~ spl13_117 ),
    inference(superposition,[],[f2299,f7364]) ).

tff(f2299,plain,
    ! [X0: $real,X1: $real] : ( 'norm$'('fun_app$'('divide$'(X1),X0)) = 'fun_app$'('divide$'('norm$'(X1)),'norm$'(X0)) ),
    inference(cnf_transformation,[],[f918]) ).

tff(f918,plain,
    ! [X0: $real,X1: $real] : ( 'norm$'('fun_app$'('divide$'(X1),X0)) = 'fun_app$'('divide$'('norm$'(X1)),'norm$'(X0)) ),
    inference(rectify,[],[f178]) ).

tff(f178,axiom,
    ! [X1: $real,X0: $real] : ( 'norm$'('fun_app$'('divide$'(X0),X1)) = 'fun_app$'('divide$'('norm$'(X0)),'norm$'(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom176) ).

tff(f7365,plain,
    ( spl13_117
    | ~ spl13_10
    | ~ spl13_114 ),
    inference(avatar_split_clause,[],[f7361,f7306,f2819,f7363]) ).

tff(f7361,plain,
    ( ( 1.0 = 'fun_app$'('divide$'('norm$'(sK4(0.0))),'norm$'(sK4(0.0))) )
    | ~ spl13_10
    | ~ spl13_114 ),
    inference(forward_demodulation,[],[f7346,f2820]) ).

tff(f7346,plain,
    ( ( 'norm$'(1.0) = 'fun_app$'('divide$'('norm$'(sK4(0.0))),'norm$'(sK4(0.0))) )
    | ~ spl13_114 ),
    inference(superposition,[],[f2299,f7307]) ).

tff(f7360,plain,
    ( ~ spl13_116
    | ~ spl13_114 ),
    inference(avatar_split_clause,[],[f7356,f7306,f7316]) ).

tff(f7356,plain,
    ( ~ $less(sK4(0.0),sK4(0.0))
    | ~ spl13_114 ),
    inference(evaluation,[],[f7355]) ).

tff(f7355,plain,
    ( $less(1.0,1.0)
    | ~ $less(sK4(0.0),sK4(0.0))
    | ~ spl13_114 ),
    inference(duplicate_literal_removal,[],[f7327]) ).

tff(f7327,plain,
    ( $less(1.0,1.0)
    | ~ $less(sK4(0.0),sK4(0.0))
    | ~ $less(sK4(0.0),sK4(0.0))
    | ~ spl13_114 ),
    inference(superposition,[],[f1792,f7307]) ).

tff(f7318,plain,
    ( ~ spl13_116
    | spl13_112 ),
    inference(avatar_split_clause,[],[f7304,f7257,f7316]) ).

tff(f7257,plain,
    ( spl13_112
  <=> $less('fun_app$'('divide$'(sK4(0.0)),sK4(0.0)),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_112])]) ).

tff(f7304,plain,
    ( ~ $less(sK4(0.0),sK4(0.0))
    | spl13_112 ),
    inference(duplicate_literal_removal,[],[f7298]) ).

tff(f7298,plain,
    ( ~ $less(sK4(0.0),sK4(0.0))
    | ~ $less(sK4(0.0),sK4(0.0))
    | spl13_112 ),
    inference(resolution,[],[f7258,f1792]) ).

tff(f7258,plain,
    ( ~ $less('fun_app$'('divide$'(sK4(0.0)),sK4(0.0)),1.0)
    | spl13_112 ),
    inference(avatar_component_clause,[],[f7257]) ).

tff(f7314,plain,
    ( ~ spl13_115
    | spl13_112 ),
    inference(avatar_split_clause,[],[f7312,f7257,f7309]) ).

tff(f7309,plain,
    ( spl13_115
  <=> $less(1.0,'fun_app$'('divide$'(sK4(0.0)),sK4(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_115])]) ).

tff(f7312,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(sK4(0.0)),sK4(0.0)))
    | spl13_112 ),
    inference(forward_demodulation,[],[f7300,f3665]) ).

tff(f7300,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(sK4(0.0)),sK4(0.0))))
    | spl13_112 ),
    inference(resolution,[],[f7258,f2999]) ).

tff(f2999,plain,
    ! [X0: $real] :
      ( $less(X0,1.0)
      | ~ $less(1.0,'fun_app$'('divide$'(1.0),X0)) ),
    inference(backward_demodulation,[],[f1953,f2082]) ).

tff(f1953,plain,
    ! [X0: $real] :
      ( ~ $less(1.0,'inverse$'(X0))
      | $less(X0,1.0) ),
    inference(cnf_transformation,[],[f325]) ).

tff(f325,axiom,
    ! [X0: $real] :
      ( ( $less(0.0,X0)
        & $less(X0,1.0) )
    <=> $less(1.0,'inverse$'(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom323) ).

tff(f7311,plain,
    ( spl13_114
    | spl13_115
    | spl13_112 ),
    inference(avatar_split_clause,[],[f7302,f7257,f7309,f7306]) ).

tff(f7302,plain,
    ( $less(1.0,'fun_app$'('divide$'(sK4(0.0)),sK4(0.0)))
    | ( 1.0 = 'fun_app$'('divide$'(sK4(0.0)),sK4(0.0)) )
    | spl13_112 ),
    inference(resolution,[],[f7258,f1882]) ).

tff(f7262,plain,
    ( ~ spl13_112
    | spl13_113 ),
    inference(avatar_split_clause,[],[f7255,f7260,f7257]) ).

tff(f7260,plain,
    ( spl13_113
  <=> ( 0.0 = sK4(0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_113])]) ).

tff(f7255,plain,
    ( ( 0.0 = sK4(0.0) )
    | ~ $less('fun_app$'('divide$'(sK4(0.0)),sK4(0.0)),1.0) ),
    inference(resolution,[],[f6423,f5804]) ).

tff(f5804,plain,
    ! [X1: $real] :
      ( ~ $less(X1,X1)
      | ( 0.0 = X1 ) ),
    inference(evaluation,[],[f5803]) ).

tff(f5803,plain,
    ! [X1: $real] :
      ( ~ $less(X1,X1)
      | ( 0.0 = X1 )
      | $less(1.0,1.0) ),
    inference(duplicate_literal_removal,[],[f5796]) ).

tff(f5796,plain,
    ! [X1: $real] :
      ( ~ $less(X1,X1)
      | $less(1.0,1.0)
      | ~ $less(X1,X1)
      | ( 0.0 = X1 ) ),
    inference(superposition,[],[f1792,f1586]) ).

tff(f6588,plain,
    ( spl13_107
    | spl13_111
    | spl13_102 ),
    inference(avatar_split_clause,[],[f6563,f6532,f6586,f6571]) ).

tff(f6586,plain,
    ( spl13_111
  <=> ( 0.0 = 'fun_app$'('divide$'(2.0),sK4(0.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_111])]) ).

tff(f6563,plain,
    ( ( 0.0 = 'fun_app$'('divide$'(2.0),sK4(0.0)) )
    | $less('fun_app$'('divide$'(2.0),sK4(0.0)),0.0)
    | spl13_102 ),
    inference(resolution,[],[f6533,f1882]) ).

tff(f6584,plain,
    ( ~ spl13_110
    | spl13_102 ),
    inference(avatar_split_clause,[],[f6561,f6532,f6582]) ).

tff(f6582,plain,
    ( spl13_110
  <=> $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_110])]) ).

tff(f6561,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))))
    | spl13_102 ),
    inference(resolution,[],[f6533,f3012]) ).

tff(f6580,plain,
    ( spl13_109
    | spl13_102 ),
    inference(avatar_split_clause,[],[f6562,f6532,f6578]) ).

tff(f6578,plain,
    ( spl13_109
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_109])]) ).

tff(f6562,plain,
    ( $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))),1.0)
    | spl13_102 ),
    inference(resolution,[],[f6533,f3014]) ).

tff(f6576,plain,
    ( spl13_107
    | spl13_108
    | spl13_102 ),
    inference(avatar_split_clause,[],[f6558,f6532,f6574,f6571]) ).

tff(f6574,plain,
    ( spl13_108
  <=> ! [X1: $real] : $less('fun_app$'('divide$'(X1),'fun_app$'('divide$'(2.0),sK4(0.0))),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_108])]) ).

tff(f6558,plain,
    ( ! [X1: $real] :
        ( $less('fun_app$'('divide$'(X1),'fun_app$'('divide$'(2.0),sK4(0.0))),1.0)
        | $less('fun_app$'('divide$'(2.0),sK4(0.0)),0.0) )
    | spl13_102 ),
    inference(resolution,[],[f6533,f1789]) ).

tff(f1789,plain,
    ! [X0: $real,X1: $real] :
      ( $less(0.0,X0)
      | $less('fun_app$'('divide$'(X1),X0),1.0)
      | $less(X0,0.0) ),
    inference(cnf_transformation,[],[f1011]) ).

tff(f6569,plain,
    ( ~ spl13_106
    | spl13_102 ),
    inference(avatar_split_clause,[],[f6565,f6532,f6567]) ).

tff(f6567,plain,
    ( spl13_106
  <=> $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(2.0),sK4(0.0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_106])]) ).

tff(f6565,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(2.0),sK4(0.0)))))
    | spl13_102 ),
    inference(forward_demodulation,[],[f6560,f3665]) ).

tff(f6560,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'('fun_app$'('divide$'(2.0),sK4(0.0))),2.0))
    | spl13_102 ),
    inference(resolution,[],[f6533,f1903]) ).

tff(f6551,plain,
    ( ~ spl13_105
    | spl13_93 ),
    inference(avatar_split_clause,[],[f6547,f6364,f6549]) ).

tff(f6549,plain,
    ( spl13_105
  <=> $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_105])]) ).

tff(f6364,plain,
    ( spl13_93
  <=> $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).

tff(f6547,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))))))
    | spl13_93 ),
    inference(forward_demodulation,[],[f6511,f3665]) ).

tff(f6511,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0)))),2.0))
    | spl13_93 ),
    inference(resolution,[],[f6365,f1903]) ).

tff(f6365,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))))
    | spl13_93 ),
    inference(avatar_component_clause,[],[f6364]) ).

tff(f6546,plain,
    ( ~ spl13_102
    | spl13_93 ),
    inference(avatar_split_clause,[],[f6545,f6364,f6532]) ).

tff(f6545,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(2.0),sK4(0.0)))
    | spl13_93 ),
    inference(forward_demodulation,[],[f6507,f3178]) ).

tff(f6507,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0)))))
    | spl13_93 ),
    inference(resolution,[],[f6365,f1565]) ).

tff(f6544,plain,
    ( spl13_104
    | spl13_93 ),
    inference(avatar_split_clause,[],[f6540,f6364,f6542]) ).

tff(f6542,plain,
    ( spl13_104
  <=> $less('fun_app$'('divide$'(2.0),sK4(0.0)),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_104])]) ).

tff(f6540,plain,
    ( $less('fun_app$'('divide$'(2.0),sK4(0.0)),1.0)
    | spl13_93 ),
    inference(forward_demodulation,[],[f6513,f3178]) ).

tff(f6513,plain,
    ( $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0)))),1.0)
    | spl13_93 ),
    inference(resolution,[],[f6365,f3014]) ).

tff(f6539,plain,
    ( spl13_99
    | spl13_103
    | spl13_93 ),
    inference(avatar_split_clause,[],[f6514,f6364,f6537,f6517]) ).

tff(f6517,plain,
    ( spl13_99
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_99])]) ).

tff(f6537,plain,
    ( spl13_103
  <=> ( 0.0 = 'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_103])]) ).

tff(f6514,plain,
    ( ( 0.0 = 'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))) )
    | $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))),0.0)
    | spl13_93 ),
    inference(resolution,[],[f6365,f1882]) ).

tff(f6535,plain,
    ( ~ spl13_102
    | spl13_93 ),
    inference(avatar_split_clause,[],[f6503,f6364,f6532]) ).

tff(f6503,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(2.0),sK4(0.0)))
    | spl13_93 ),
    inference(resolution,[],[f6365,f1564]) ).

tff(f1564,plain,
    ! [X0: $real] :
      ( $less(0.0,'fun_app$'('divide$'(1.0),X0))
      | ~ $less(0.0,X0) ),
    inference(cnf_transformation,[],[f195]) ).

tff(f6534,plain,
    ( ~ spl13_102
    | spl13_93 ),
    inference(avatar_split_clause,[],[f6515,f6364,f6532]) ).

tff(f6515,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(2.0),sK4(0.0)))
    | spl13_93 ),
    inference(evaluation,[],[f6506]) ).

tff(f6506,plain,
    ( ~ $less(0.0,1.0)
    | ~ $less(0.0,'fun_app$'('divide$'(2.0),sK4(0.0)))
    | spl13_93 ),
    inference(resolution,[],[f6365,f1864]) ).

tff(f1864,plain,
    ! [X0: $real,X1: $real] :
      ( $less(0.0,'fun_app$'('divide$'(X0),X1))
      | ~ $less(0.0,X1)
      | ~ $less(0.0,X0) ),
    inference(cnf_transformation,[],[f704]) ).

tff(f704,plain,
    ! [X1: $real,X0: $real] :
      ( ( ( ~ $less(X0,0.0)
          & ~ $less(0.0,X1) )
        | ( ~ $less(0.0,X0)
          & ~ $less(X1,0.0) ) )
    <=> ~ $less(0.0,'fun_app$'('divide$'(X0),X1)) ),
    inference(theory_normalization,[],[f408]) ).

tff(f408,axiom,
    ! [X0: $real,X1: $real] :
      ( $lesseq('fun_app$'('divide$'(X0),X1),0.0)
    <=> ( ( $lesseq(X0,0.0)
          & $lesseq(0.0,X1) )
        | ( $lesseq(X1,0.0)
          & $lesseq(0.0,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom406) ).

tff(f6530,plain,
    ( ~ spl13_101
    | spl13_93 ),
    inference(avatar_split_clause,[],[f6526,f6364,f6528]) ).

tff(f6526,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(2.0),sK4(0.0)))
    | spl13_93 ),
    inference(forward_demodulation,[],[f6512,f3178]) ).

tff(f6512,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0)))))
    | spl13_93 ),
    inference(resolution,[],[f6365,f3012]) ).

tff(f6522,plain,
    ( spl13_99
    | spl13_100
    | spl13_93 ),
    inference(avatar_split_clause,[],[f6509,f6364,f6520,f6517]) ).

tff(f6520,plain,
    ( spl13_100
  <=> ! [X1: $real] : $less('fun_app$'('divide$'(X1),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0)))),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_100])]) ).

tff(f6509,plain,
    ( ! [X1: $real] :
        ( $less('fun_app$'('divide$'(X1),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0)))),1.0)
        | $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))),0.0) )
    | spl13_93 ),
    inference(resolution,[],[f6365,f1789]) ).

tff(f6401,plain,
    ( ~ spl13_98
    | spl13_92 ),
    inference(avatar_split_clause,[],[f6397,f6351,f6399]) ).

tff(f6399,plain,
    ( spl13_98
  <=> $less(1.0,sK4(0.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_98])]) ).

tff(f6351,plain,
    ( spl13_92
  <=> $less(0.0,'fun_app$'('divide$'(1.0),sK4(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).

tff(f6397,plain,
    ( ~ $less(1.0,sK4(0.0))
    | spl13_92 ),
    inference(forward_demodulation,[],[f6383,f3178]) ).

tff(f6383,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),sK4(0.0))))
    | spl13_92 ),
    inference(resolution,[],[f6352,f3012]) ).

tff(f6352,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),sK4(0.0)))
    | spl13_92 ),
    inference(avatar_component_clause,[],[f6351]) ).

tff(f6396,plain,
    ( ~ spl13_97
    | spl13_92 ),
    inference(avatar_split_clause,[],[f6392,f6351,f6394]) ).

tff(f6394,plain,
    ( spl13_97
  <=> $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),sK4(0.0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_97])]) ).

tff(f6392,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),sK4(0.0)))))
    | spl13_92 ),
    inference(forward_demodulation,[],[f6382,f3665]) ).

tff(f6382,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'('fun_app$'('divide$'(1.0),sK4(0.0))),2.0))
    | spl13_92 ),
    inference(resolution,[],[f6352,f1903]) ).

tff(f6391,plain,
    ( spl13_96
    | spl13_92 ),
    inference(avatar_split_clause,[],[f6387,f6351,f6389]) ).

tff(f6389,plain,
    ( spl13_96
  <=> $less(sK4(0.0),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_96])]) ).

tff(f6387,plain,
    ( $less(sK4(0.0),1.0)
    | spl13_92 ),
    inference(forward_demodulation,[],[f6384,f3178]) ).

tff(f6384,plain,
    ( $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),sK4(0.0))),1.0)
    | spl13_92 ),
    inference(resolution,[],[f6352,f3014]) ).

tff(f6374,plain,
    ( ~ spl13_95
    | spl13_91 ),
    inference(avatar_split_clause,[],[f6359,f6347,f6372]) ).

tff(f6372,plain,
    ( spl13_95
  <=> $less(1.0,'fun_app$'('divide$'(1.0),sK4(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_95])]) ).

tff(f6359,plain,
    ( ~ $less(1.0,'fun_app$'('divide$'(1.0),sK4(0.0)))
    | spl13_91 ),
    inference(resolution,[],[f6348,f3012]) ).

tff(f6370,plain,
    ( spl13_94
    | spl13_91 ),
    inference(avatar_split_clause,[],[f6360,f6347,f6368]) ).

tff(f6368,plain,
    ( spl13_94
  <=> $less('fun_app$'('divide$'(1.0),sK4(0.0)),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_94])]) ).

tff(f6360,plain,
    ( $less('fun_app$'('divide$'(1.0),sK4(0.0)),1.0)
    | spl13_91 ),
    inference(resolution,[],[f6348,f3014]) ).

tff(f6366,plain,
    ( ~ spl13_93
    | spl13_91 ),
    inference(avatar_split_clause,[],[f6362,f6347,f6364]) ).

tff(f6362,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),sK4(0.0))))
    | spl13_91 ),
    inference(forward_demodulation,[],[f6358,f3665]) ).

tff(f6358,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(sK4(0.0)),2.0))
    | spl13_91 ),
    inference(resolution,[],[f6348,f1903]) ).

tff(f6353,plain,
    ( ~ spl13_92
    | ~ spl13_43 ),
    inference(avatar_split_clause,[],[f6337,f3216,f6351]) ).

tff(f6337,plain,
    ( ~ $less(0.0,'fun_app$'('divide$'(1.0),sK4(0.0)))
    | ~ spl13_43 ),
    inference(resolution,[],[f6335,f3217]) ).

tff(f6335,plain,
    ! [X5: $real] :
      ( ~ $less(X5,0.0)
      | ~ $less(0.0,X5) ),
    inference(evaluation,[],[f6333]) ).

tff(f6333,plain,
    ! [X5: $real] :
      ( ~ $less(X5,0.0)
      | $less(0.0,0.0)
      | ~ $less(0.0,X5) ),
    inference(superposition,[],[f1865,f2680]) ).

tff(f1865,plain,
    ! [X0: $real,X1: $real] :
      ( $less(0.0,'fun_app$'('divide$'(X0),X1))
      | ~ $less(0.0,X0)
      | ~ $less(X0,0.0) ),
    inference(cnf_transformation,[],[f704]) ).

tff(f6349,plain,
    ~ spl13_91,
    inference(avatar_split_clause,[],[f6345,f6347]) ).

tff(f6345,plain,
    ~ $less(0.0,sK4(0.0)),
    inference(resolution,[],[f6335,f1786]) ).

tff(f6266,plain,
    ( spl13_90
    | ~ spl13_20 ),
    inference(avatar_split_clause,[],[f6244,f2889,f6264]) ).

tff(f6264,plain,
    ( spl13_90
  <=> ( 'zero$' = 'fun_app$d'('power$a'('zero$'),'n$') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_90])]) ).

tff(f6244,plain,
    ( ( 'zero$' = 'fun_app$d'('power$a'('zero$'),'n$') )
    | ~ spl13_20 ),
    inference(resolution,[],[f2741,f2890]) ).

tff(f6262,plain,
    ( spl13_89
    | ~ spl13_50 ),
    inference(avatar_split_clause,[],[f6249,f3609,f6260]) ).

tff(f6260,plain,
    ( spl13_89
  <=> ( 'zero$' = 'fun_app$d'('power$a'('zero$'),'fun_app$d'('power$a'('nat$'(2)),'nat$'(0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_89])]) ).

tff(f3609,plain,
    ( spl13_50
  <=> $less(0,'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_50])]) ).

tff(f6249,plain,
    ( ( 'zero$' = 'fun_app$d'('power$a'('zero$'),'fun_app$d'('power$a'('nat$'(2)),'nat$'(0))) )
    | ~ spl13_50 ),
    inference(resolution,[],[f2741,f3610]) ).

tff(f3610,plain,
    ( $less(0,'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(0))))
    | ~ spl13_50 ),
    inference(avatar_component_clause,[],[f3609]) ).

tff(f6143,plain,
    ( spl13_88
    | ~ spl13_26 ),
    inference(avatar_split_clause,[],[f6139,f2920,f6141]) ).

tff(f6141,plain,
    ( spl13_88
  <=> $less(1,'numeral$a'('bit0$'('one$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_88])]) ).

tff(f6139,plain,
    ( $less(1,'numeral$a'('bit0$'('one$')))
    | ~ spl13_26 ),
    inference(forward_demodulation,[],[f6136,f2683]) ).

tff(f6136,plain,
    ( $less(1,'times$c'('numeral$a'('bit0$'('one$')),1))
    | ~ spl13_26 ),
    inference(superposition,[],[f6124,f2921]) ).

tff(f6124,plain,
    ! [X18: 'Num$'] : $less(1,'times$c'('numeral$a'('bit0$'('one$')),'numeral$a'(X18))),
    inference(subsumption_resolution,[],[f6067,f1734]) ).

tff(f1734,plain,
    ! [X0: 'Num$'] : ~ 'fun_app$b'('less_eq$'('bit0$'(X0)),'one$'),
    inference(cnf_transformation,[],[f567]) ).

tff(f567,axiom,
    ! [X0: 'Num$'] :
      ( 'fun_app$b'('less_eq$'('bit0$'(X0)),'one$')
    <=> $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom565) ).

tff(f6067,plain,
    ! [X18: 'Num$'] :
      ( 'fun_app$b'('less_eq$'('bit0$'(X18)),'one$')
      | $less(1,'times$c'('numeral$a'('bit0$'('one$')),'numeral$a'(X18))) ),
    inference(superposition,[],[f1781,f4301]) ).

tff(f1781,plain,
    ! [X0: 'Num$'] :
      ( $less(1,'numeral$a'(X0))
      | 'fun_app$b'('less_eq$'(X0),'one$') ),
    inference(cnf_transformation,[],[f734]) ).

tff(f734,plain,
    ! [X0: 'Num$'] :
      ( 'fun_app$b'('less_eq$'(X0),'one$')
    <=> ~ $less(1,'numeral$a'(X0)) ),
    inference(theory_normalization,[],[f361]) ).

tff(f361,axiom,
    ! [X0: 'Num$'] :
      ( 'fun_app$b'('less_eq$'(X0),'one$')
    <=> $lesseq('numeral$a'(X0),1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom359) ).

tff(f6132,plain,
    ( ~ spl13_87
    | ~ spl13_26 ),
    inference(avatar_split_clause,[],[f6126,f2920,f6130]) ).

tff(f6130,plain,
    ( spl13_87
  <=> ( 1 = 'times$c'('numeral$a'('bit0$'('one$')),1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_87])]) ).

tff(f6126,plain,
    ( ( 1 != 'times$c'('numeral$a'('bit0$'('one$')),1) )
    | ~ spl13_26 ),
    inference(superposition,[],[f6122,f2921]) ).

tff(f5865,plain,
    ( ~ spl13_84
    | spl13_86 ),
    inference(avatar_split_clause,[],[f5863,f5860,f5568]) ).

tff(f5568,plain,
    ( spl13_84
  <=> ( 1.0 = 'numeral$'('bit0$'('one$')) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_84])]) ).

tff(f5863,plain,
    ( ( 1.0 != 'numeral$'('bit0$'('one$')) )
    | spl13_86 ),
    inference(superposition,[],[f5861,f2737]) ).

tff(f2737,plain,
    ! [X0: $real] : ( 'times$'(X0,1.0) = X0 ),
    inference(equality_resolution,[],[f2490]) ).

tff(f2490,plain,
    ! [X0: $real,X1: $real] :
      ( ( 1.0 != X1 )
      | ( 'times$'(X0,X1) = X0 ) ),
    inference(cnf_transformation,[],[f559]) ).

tff(f559,axiom,
    ! [X0: $real,X1: $real] :
      ( ( 'times$'(X0,X1) = X0 )
    <=> ( ( 0.0 = X0 )
        | ( 1.0 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom557) ).

tff(f5862,plain,
    ( ~ spl13_86
    | ~ spl13_21 ),
    inference(avatar_split_clause,[],[f5858,f2896,f5860]) ).

tff(f2896,plain,
    ( spl13_21
  <=> ( 1.0 = 'numeral$'('one$') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).

tff(f5858,plain,
    ( ( 1.0 != 'times$'('numeral$'('bit0$'('one$')),1.0) )
    | ~ spl13_21 ),
    inference(superposition,[],[f5579,f2897]) ).

tff(f2897,plain,
    ( ( 1.0 = 'numeral$'('one$') )
    | ~ spl13_21 ),
    inference(avatar_component_clause,[],[f2896]) ).

tff(f5579,plain,
    ! [X20: 'Num$'] : ( 1.0 != 'times$'('numeral$'('bit0$'('one$')),'numeral$'(X20)) ),
    inference(subsumption_resolution,[],[f5501,f2448]) ).

tff(f5501,plain,
    ! [X20: 'Num$'] :
      ( ( 1.0 != 'times$'('numeral$'('bit0$'('one$')),'numeral$'(X20)) )
      | ( 'one$' = 'bit0$'(X20) ) ),
    inference(superposition,[],[f2055,f3910]) ).

tff(f3910,plain,
    ! [X0: 'Num$'] : ( 'numeral$'('bit0$'(X0)) = 'times$'('numeral$'('bit0$'('one$')),'numeral$'(X0)) ),
    inference(superposition,[],[f1881,f2120]) ).

tff(f1881,plain,
    ! [X0: 'Num$',X1: 'Num$'] : ( 'numeral$'('times$a'(X0,X1)) = 'times$'('numeral$'(X0),'numeral$'(X1)) ),
    inference(cnf_transformation,[],[f45]) ).

tff(f45,axiom,
    ! [X0: 'Num$',X1: 'Num$'] : ( 'numeral$'('times$a'(X0,X1)) = 'times$'('numeral$'(X0),'numeral$'(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom43) ).

tff(f2055,plain,
    ! [X0: 'Num$'] :
      ( ( 1.0 != 'numeral$'(X0) )
      | ( 'one$' = X0 ) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,axiom,
    ! [X0: 'Num$'] :
      ( ( 'one$' = X0 )
    <=> ( 1.0 = 'numeral$'(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom18) ).

tff(f5744,plain,
    ( spl13_85
    | ~ spl13_21
    | ~ spl13_64
    | ~ spl13_83 ),
    inference(avatar_split_clause,[],[f5740,f5565,f4634,f2896,f5742]) ).

tff(f5742,plain,
    ( spl13_85
  <=> $less(1.0,'numeral$'('bit0$'('one$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_85])]) ).

tff(f5565,plain,
    ( spl13_83
  <=> ! [X3: 'Num$'] : ( 'numeral$'('bit0$'(X3)) != 'numeral$'(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_83])]) ).

tff(f5740,plain,
    ( $less(1.0,'numeral$'('bit0$'('one$')))
    | ~ spl13_21
    | ~ spl13_64
    | ~ spl13_83 ),
    inference(superposition,[],[f5649,f2897]) ).

tff(f5649,plain,
    ( ! [X2: 'Num$'] : $less('numeral$'(X2),'numeral$'('bit0$'(X2)))
    | ~ spl13_64
    | ~ spl13_83 ),
    inference(subsumption_resolution,[],[f5278,f5566]) ).

tff(f5566,plain,
    ( ! [X3: 'Num$'] : ( 'numeral$'('bit0$'(X3)) != 'numeral$'(X3) )
    | ~ spl13_83 ),
    inference(avatar_component_clause,[],[f5565]) ).

tff(f5278,plain,
    ( ! [X2: 'Num$'] :
        ( ( 'numeral$'(X2) = 'numeral$'('bit0$'(X2)) )
        | $less('numeral$'(X2),'numeral$'('bit0$'(X2))) )
    | ~ spl13_64 ),
    inference(resolution,[],[f5271,f1882]) ).

tff(f5271,plain,
    ( ! [X2: 'Num$'] : ~ $less('numeral$'('bit0$'(X2)),'numeral$'(X2))
    | ~ spl13_64 ),
    inference(resolution,[],[f5262,f1655]) ).

tff(f1655,plain,
    ! [X0: 'Num$',X1: 'Num$'] :
      ( 'fun_app$b'('less$'(X0),X1)
      | ~ $less('numeral$'(X0),'numeral$'(X1)) ),
    inference(cnf_transformation,[],[f64]) ).

tff(f64,axiom,
    ! [X1: 'Num$',X0: 'Num$'] :
      ( $less('numeral$'(X0),'numeral$'(X1))
    <=> 'fun_app$b'('less$'(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom62) ).

tff(f5262,plain,
    ( ! [X0: 'Num$'] : ~ 'fun_app$b'('less$'('bit0$'(X0)),X0)
    | ~ spl13_64 ),
    inference(resolution,[],[f4833,f1780]) ).

tff(f1780,plain,
    ! [X0: 'Num$',X1: 'Num$'] :
      ( $less('numeral$a'(X0),'numeral$a'(X1))
      | ~ 'fun_app$b'('less$'(X0),X1) ),
    inference(cnf_transformation,[],[f65]) ).

tff(f65,axiom,
    ! [X0: 'Num$',X1: 'Num$'] :
      ( 'fun_app$b'('less$'(X0),X1)
    <=> $less('numeral$a'(X0),'numeral$a'(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom63) ).

tff(f4833,plain,
    ( ! [X0: 'Num$'] : ~ $less('numeral$a'('bit0$'(X0)),'numeral$a'(X0))
    | ~ spl13_64 ),
    inference(superposition,[],[f4702,f1955]) ).

tff(f1955,plain,
    ! [X0: 'Num$'] : ( 'numeral$a'(X0) = 'fun_app$f'('divide$a'('numeral$a'('bit0$'(X0))),2) ),
    inference(cnf_transformation,[],[f326]) ).

tff(f326,axiom,
    ! [X0: 'Num$'] : ( 'numeral$a'(X0) = 'fun_app$f'('divide$a'('numeral$a'('bit0$'(X0))),2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom324) ).

tff(f4702,plain,
    ( ! [X10: 'Num$'] : ~ $less('numeral$a'(X10),'fun_app$f'('divide$a'('numeral$a'(X10)),2))
    | ~ spl13_64 ),
    inference(superposition,[],[f3534,f4635]) ).

tff(f3534,plain,
    ! [X0: 'Num$',X1: 'Nat$'] : ~ $less('numeral$a'(X0),'fun_app$f'('divide$a'('numeral$a'(X0)),'of_nat$'(X1))),
    inference(superposition,[],[f1876,f3231]) ).

tff(f1876,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] : ~ $less('of_nat$'(X1),'fun_app$f'('divide$a'('of_nat$'(X1)),'of_nat$'(X0))),
    inference(cnf_transformation,[],[f1017]) ).

tff(f1017,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] : ~ $less('of_nat$'(X1),'fun_app$f'('divide$a'('of_nat$'(X1)),'of_nat$'(X0))),
    inference(rectify,[],[f783]) ).

tff(f783,plain,
    ! [X1: 'Nat$',X0: 'Nat$'] : ~ $less('of_nat$'(X0),'fun_app$f'('divide$a'('of_nat$'(X0)),'of_nat$'(X1))),
    inference(theory_normalization,[],[f587]) ).

tff(f587,axiom,
    ! [X1: 'Nat$',X0: 'Nat$'] : $lesseq('fun_app$f'('divide$a'('of_nat$'(X0)),'of_nat$'(X1)),'of_nat$'(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom585) ).

tff(f5634,plain,
    ( ~ spl13_26
    | ~ spl13_44
    | ~ spl13_84 ),
    inference(avatar_contradiction_clause,[],[f5632]) ).

tff(f5632,plain,
    ( $false
    | ~ spl13_26
    | ~ spl13_44
    | ~ spl13_84 ),
    inference(subsumption_resolution,[],[f2921,f5621]) ).

tff(f5621,plain,
    ( ! [X0: 'Num$'] : ( 1 != 'numeral$a'(X0) )
    | ~ spl13_44
    | ~ spl13_84 ),
    inference(subsumption_resolution,[],[f4060,f5618]) ).

tff(f5618,plain,
    ( ! [X0: 'Num$'] : $less(1,'numeral$a'(X0))
    | ~ spl13_84 ),
    inference(subsumption_resolution,[],[f1781,f5615]) ).

tff(f5615,plain,
    ( ! [X0: 'Num$'] : ~ 'fun_app$b'('less_eq$'(X0),'one$')
    | ~ spl13_84 ),
    inference(subsumption_resolution,[],[f2186,f5613]) ).

tff(f5613,plain,
    ( ! [X21: 'Num$'] : $less(1.0,'numeral$'(X21))
    | ~ spl13_84 ),
    inference(forward_demodulation,[],[f5599,f3178]) ).

tff(f5599,plain,
    ( ! [X21: 'Num$'] : $less(1.0,'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(1.0),'numeral$'(X21))))
    | ~ spl13_84 ),
    inference(backward_demodulation,[],[f5546,f5569]) ).

tff(f5569,plain,
    ( ( 1.0 = 'numeral$'('bit0$'('one$')) )
    | ~ spl13_84 ),
    inference(avatar_component_clause,[],[f5568]) ).

tff(f5546,plain,
    ! [X21: 'Num$'] : $less(1.0,'fun_app$'('divide$'('numeral$'('bit0$'('one$'))),'fun_app$'('divide$'(1.0),'numeral$'(X21)))),
    inference(forward_demodulation,[],[f5545,f4836]) ).

tff(f5545,plain,
    ! [X21: 'Num$'] : $less(1.0,'times$'('numeral$'('bit0$'('one$')),'numeral$'(X21))),
    inference(subsumption_resolution,[],[f5502,f1734]) ).

tff(f5502,plain,
    ! [X21: 'Num$'] :
      ( $less(1.0,'times$'('numeral$'('bit0$'('one$')),'numeral$'(X21)))
      | 'fun_app$b'('less_eq$'('bit0$'(X21)),'one$') ),
    inference(superposition,[],[f2187,f3910]) ).

tff(f2187,plain,
    ! [X0: 'Num$'] :
      ( $less(1.0,'numeral$'(X0))
      | 'fun_app$b'('less_eq$'(X0),'one$') ),
    inference(cnf_transformation,[],[f810]) ).

tff(f810,plain,
    ! [X0: 'Num$'] :
      ( ~ $less(1.0,'numeral$'(X0))
    <=> 'fun_app$b'('less_eq$'(X0),'one$') ),
    inference(theory_normalization,[],[f360]) ).

tff(f360,axiom,
    ! [X0: 'Num$'] :
      ( 'fun_app$b'('less_eq$'(X0),'one$')
    <=> $lesseq('numeral$'(X0),1.0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom358) ).

tff(f2186,plain,
    ! [X0: 'Num$'] :
      ( ~ 'fun_app$b'('less_eq$'(X0),'one$')
      | ~ $less(1.0,'numeral$'(X0)) ),
    inference(cnf_transformation,[],[f810]) ).

tff(f4060,plain,
    ( ! [X0: 'Num$'] :
        ( ( 1 != 'numeral$a'(X0) )
        | ~ $less(1,'numeral$a'(X0)) )
    | ~ spl13_44 ),
    inference(superposition,[],[f4052,f3231]) ).

tff(f5570,plain,
    ( spl13_83
    | spl13_84 ),
    inference(avatar_split_clause,[],[f5563,f5568,f5565]) ).

tff(f5563,plain,
    ! [X3: 'Num$'] :
      ( ( 1.0 = 'numeral$'('bit0$'('one$')) )
      | ( 'numeral$'('bit0$'(X3)) != 'numeral$'(X3) ) ),
    inference(subsumption_resolution,[],[f5525,f2378]) ).

tff(f2378,plain,
    ! [X0: 'Num$'] : ( 0.0 != 'numeral$'(X0) ),
    inference(cnf_transformation,[],[f94]) ).

tff(f94,axiom,
    ! [X0: 'Num$'] : ( 0.0 != 'numeral$'(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom92) ).

tff(f5525,plain,
    ! [X3: 'Num$'] :
      ( ( 0.0 = 'numeral$'(X3) )
      | ( 1.0 = 'numeral$'('bit0$'('one$')) )
      | ( 'numeral$'('bit0$'(X3)) != 'numeral$'(X3) ) ),
    inference(superposition,[],[f2504,f3910]) ).

tff(f2504,plain,
    ! [X0: $real,X1: $real] :
      ( ( 'times$'(X0,X1) != X1 )
      | ( 1.0 = X0 )
      | ( 0.0 = X1 ) ),
    inference(cnf_transformation,[],[f563]) ).

tff(f563,axiom,
    ! [X1: $real,X0: $real] :
      ( ( 'times$'(X0,X1) = X1 )
    <=> ( ( 1.0 = X0 )
        | ( 0.0 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom561) ).

tff(f5399,plain,
    spl13_82,
    inference(avatar_split_clause,[],[f5387,f5394]) ).

tff(f5394,plain,
    ( spl13_82
  <=> ( 'numeral$c'('one$') = 'fun_app$d'('power$a'('numeral$c'('one$')),'nat$'(2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_82])]) ).

tff(f5387,plain,
    'numeral$c'('one$') = 'fun_app$d'('power$a'('numeral$c'('one$')),'nat$'(2)),
    inference(superposition,[],[f2081,f1798]) ).

tff(f1798,plain,
    ! [X0: 'Nat$'] : ( 'fun_app$d'('times$b'('numeral$c'('one$')),X0) = X0 ),
    inference(cnf_transformation,[],[f159]) ).

tff(f159,axiom,
    ! [X0: 'Nat$'] : ( 'fun_app$d'('times$b'('numeral$c'('one$')),X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom157) ).

tff(f2081,plain,
    ! [X0: 'Nat$'] : ( 'fun_app$d'('power$a'(X0),'nat$'(2)) = 'fun_app$d'('times$b'(X0),X0) ),
    inference(cnf_transformation,[],[f106]) ).

tff(f106,axiom,
    ! [X0: 'Nat$'] : ( 'fun_app$d'('power$a'(X0),'nat$'(2)) = 'fun_app$d'('times$b'(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom104) ).

tff(f5398,plain,
    spl13_82,
    inference(avatar_split_clause,[],[f5388,f5394]) ).

tff(f5388,plain,
    'numeral$c'('one$') = 'fun_app$d'('power$a'('numeral$c'('one$')),'nat$'(2)),
    inference(superposition,[],[f2081,f2332]) ).

tff(f2332,plain,
    ! [X0: 'Nat$'] : ( 'fun_app$d'('times$b'(X0),'numeral$c'('one$')) = X0 ),
    inference(cnf_transformation,[],[f156]) ).

tff(f156,axiom,
    ! [X0: 'Nat$'] : ( 'fun_app$d'('times$b'(X0),'numeral$c'('one$')) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom154) ).

tff(f5397,plain,
    spl13_82,
    inference(avatar_split_clause,[],[f5391,f5394]) ).

tff(f5391,plain,
    'numeral$c'('one$') = 'fun_app$d'('power$a'('numeral$c'('one$')),'nat$'(2)),
    inference(superposition,[],[f1798,f2081]) ).

tff(f5396,plain,
    spl13_82,
    inference(avatar_split_clause,[],[f5392,f5394]) ).

tff(f5392,plain,
    'numeral$c'('one$') = 'fun_app$d'('power$a'('numeral$c'('one$')),'nat$'(2)),
    inference(superposition,[],[f2332,f2081]) ).

tff(f5325,plain,
    ( ~ spl13_81
    | ~ spl13_64
    | ~ spl13_69 ),
    inference(avatar_split_clause,[],[f5321,f4713,f4634,f5323]) ).

tff(f5323,plain,
    ( spl13_81
  <=> ( 2 = 'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_81])]) ).

tff(f5321,plain,
    ( ( 2 != 'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(2))) )
    | ~ spl13_64
    | ~ spl13_69 ),
    inference(resolution,[],[f4714,f4692]) ).

tff(f5226,plain,
    ( spl13_80
    | ~ spl13_61 ),
    inference(avatar_split_clause,[],[f5222,f4255,f5224]) ).

tff(f5224,plain,
    ( spl13_80
  <=> $less(1.0,'fun_app$'('divide$'(sK12(1.0)),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(sK12(1.0)),'fun_app$'('divide$'(1.0),sK12(1.0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_80])]) ).

tff(f4255,plain,
    ( spl13_61
  <=> $less(1.0,'times$'(sK12(1.0),'times$'(sK12(1.0),sK12(1.0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).

tff(f5222,plain,
    ( $less(1.0,'fun_app$'('divide$'(sK12(1.0)),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(sK12(1.0)),'fun_app$'('divide$'(1.0),sK12(1.0))))))
    | ~ spl13_61 ),
    inference(forward_demodulation,[],[f5043,f4836]) ).

tff(f5043,plain,
    ( $less(1.0,'fun_app$'('divide$'(sK12(1.0)),'fun_app$'('divide$'(1.0),'times$'(sK12(1.0),sK12(1.0)))))
    | ~ spl13_61 ),
    inference(backward_demodulation,[],[f4256,f4836]) ).

tff(f4256,plain,
    ( $less(1.0,'times$'(sK12(1.0),'times$'(sK12(1.0),sK12(1.0))))
    | ~ spl13_61 ),
    inference(avatar_component_clause,[],[f4255]) ).

tff(f5154,plain,
    ( ~ spl13_79
    | spl13_40 ),
    inference(avatar_split_clause,[],[f5142,f3116,f5152]) ).

tff(f3116,plain,
    ( spl13_40
  <=> $less('fun_app$'('divide$'('fun_app$'('divide$'(1.0),2.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).

tff(f5142,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_40 ),
    inference(backward_demodulation,[],[f3117,f5136]) ).

tff(f5136,plain,
    ! [X0: $real,X1: $real] : ( 'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(X0),'fun_app$'('divide$'(1.0),X1))) = 'fun_app$'('divide$'('fun_app$'('divide$'(1.0),X0)),X1) ),
    inference(forward_demodulation,[],[f4936,f2082]) ).

tff(f4936,plain,
    ! [X0: $real,X1: $real] : ( 'inverse$'('fun_app$'('divide$'(X0),'fun_app$'('divide$'(1.0),X1))) = 'fun_app$'('divide$'('fun_app$'('divide$'(1.0),X0)),X1) ),
    inference(backward_demodulation,[],[f3017,f4836]) ).

tff(f3017,plain,
    ! [X0: $real,X1: $real] : ( 'inverse$'('times$'(X0,X1)) = 'fun_app$'('divide$'('fun_app$'('divide$'(1.0),X0)),X1) ),
    inference(backward_demodulation,[],[f2859,f2082]) ).

tff(f2859,plain,
    ! [X0: $real,X1: $real] : ( 'inverse$'('times$'(X0,X1)) = 'fun_app$'('divide$'('inverse$'(X0)),X1) ),
    inference(forward_demodulation,[],[f2191,f1613]) ).

tff(f2191,plain,
    ! [X0: $real,X1: $real] : ( 'inverse$'('times$'(X0,X1)) = 'times$'('inverse$'(X0),'inverse$'(X1)) ),
    inference(cnf_transformation,[],[f218]) ).

tff(f218,axiom,
    ! [X0: $real,X1: $real] : ( 'inverse$'('times$'(X0,X1)) = 'times$'('inverse$'(X0),'inverse$'(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom216) ).

tff(f3117,plain,
    ( ~ $less('fun_app$'('divide$'('fun_app$'('divide$'(1.0),2.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_40 ),
    inference(avatar_component_clause,[],[f3116]) ).

tff(f5147,plain,
    ( spl13_78
    | ~ spl13_45 ),
    inference(avatar_split_clause,[],[f5141,f3316,f5145]) ).

tff(f5145,plain,
    ( spl13_78
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_78])]) ).

tff(f3316,plain,
    ( spl13_45
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'('fun_app$'('divide$'(1.0),2.0)),'fun_app$a'('power$'('norm$'('c$')),'n$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_45])]) ).

tff(f5141,plain,
    ( $less('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))))
    | ~ spl13_45 ),
    inference(backward_demodulation,[],[f3317,f5136]) ).

tff(f3317,plain,
    ( $less('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'('fun_app$'('divide$'(1.0),2.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | ~ spl13_45 ),
    inference(avatar_component_clause,[],[f3316]) ).

tff(f5088,plain,
    ( spl13_77
    | ~ spl13_60 ),
    inference(avatar_split_clause,[],[f5081,f4251,f5086]) ).

tff(f4251,plain,
    ( spl13_60
  <=> $less(1.0,'times$'(sK12(1.0),sK12(1.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).

tff(f5081,plain,
    ( $less(1.0,'fun_app$'('divide$'(sK12(1.0)),'fun_app$'('divide$'(1.0),sK12(1.0))))
    | ~ spl13_60 ),
    inference(backward_demodulation,[],[f4252,f4836]) ).

tff(f4252,plain,
    ( $less(1.0,'times$'(sK12(1.0),sK12(1.0)))
    | ~ spl13_60 ),
    inference(avatar_component_clause,[],[f4251]) ).

tff(f4786,plain,
    ~ spl13_76,
    inference(avatar_contradiction_clause,[],[f4785]) ).

tff(f4785,plain,
    ( $false
    | ~ spl13_76 ),
    inference(evaluation,[],[f4780]) ).

tff(f4780,plain,
    ( ( 0 = 2 )
    | ( 1 = 2 )
    | ~ spl13_76 ),
    inference(superposition,[],[f4777,f2000]) ).

tff(f2000,plain,
    ! [X0: $int] :
      ( ( 1 = 'fun_app$f'('divide$a'(X0),X0) )
      | ( 0 = X0 ) ),
    inference(cnf_transformation,[],[f1225]) ).

tff(f1225,plain,
    ! [X0: $int] :
      ( ( 0 = X0 )
      | ( 1 = 'fun_app$f'('divide$a'(X0),X0) ) ),
    inference(ennf_transformation,[],[f525]) ).

tff(f525,axiom,
    ! [X0: $int] :
      ( ( 0 != X0 )
     => ( 1 = 'fun_app$f'('divide$a'(X0),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom523) ).

tff(f4777,plain,
    ( ( 2 = 'fun_app$f'('divide$a'(2),2) )
    | ~ spl13_76 ),
    inference(avatar_component_clause,[],[f4776]) ).

tff(f4776,plain,
    ( spl13_76
  <=> ( 2 = 'fun_app$f'('divide$a'(2),2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_76])]) ).

tff(f4784,plain,
    ~ spl13_76,
    inference(avatar_contradiction_clause,[],[f4783]) ).

tff(f4783,plain,
    ( $false
    | ~ spl13_76 ),
    inference(evaluation,[],[f4782]) ).

tff(f4782,plain,
    ( ( 1 = 2 )
    | ( 0 = 2 )
    | ~ spl13_76 ),
    inference(superposition,[],[f2000,f4777]) ).

tff(f4778,plain,
    ( spl13_75
    | spl13_76
    | spl13_74 ),
    inference(avatar_split_clause,[],[f4770,f4767,f4776,f4773]) ).

tff(f4773,plain,
    ( spl13_75
  <=> $less('fun_app$f'('divide$a'(2),2),2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_75])]) ).

tff(f4767,plain,
    ( spl13_74
  <=> $less(2,'fun_app$f'('divide$a'(2),2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_74])]) ).

tff(f4770,plain,
    ( ( 2 = 'fun_app$f'('divide$a'(2),2) )
    | $less('fun_app$f'('divide$a'(2),2),2)
    | spl13_74 ),
    inference(resolution,[],[f4768,f2554]) ).

tff(f4768,plain,
    ( ~ $less(2,'fun_app$f'('divide$a'(2),2))
    | spl13_74 ),
    inference(avatar_component_clause,[],[f4767]) ).

tff(f4769,plain,
    ( ~ spl13_74
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f4762,f4634,f4767]) ).

tff(f4762,plain,
    ( ~ $less(2,'fun_app$f'('divide$a'(2),2))
    | ~ spl13_64 ),
    inference(superposition,[],[f4686,f4635]) ).

tff(f4686,plain,
    ( ! [X2: 'Nat$'] : ~ $less(2,'fun_app$f'('divide$a'(2),'of_nat$'(X2)))
    | ~ spl13_64 ),
    inference(superposition,[],[f1876,f4635]) ).

tff(f4732,plain,
    ( spl13_72
    | spl13_73
    | spl13_70 ),
    inference(avatar_split_clause,[],[f4725,f4717,f4730,f4727]) ).

tff(f4717,plain,
    ( spl13_70
  <=> $less('times$c'(2,2),2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_70])]) ).

tff(f4725,plain,
    ( ( 2 = 'times$c'(2,2) )
    | $less(2,'times$c'(2,2))
    | spl13_70 ),
    inference(resolution,[],[f4718,f2554]) ).

tff(f4718,plain,
    ( ~ $less('times$c'(2,2),2)
    | spl13_70 ),
    inference(avatar_component_clause,[],[f4717]) ).

tff(f4724,plain,
    ( ~ spl13_71
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f4707,f4634,f4722]) ).

tff(f4722,plain,
    ( spl13_71
  <=> $less('of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(2))),2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).

tff(f4707,plain,
    ( ~ $less('of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(2))),2)
    | ~ spl13_64 ),
    inference(superposition,[],[f4093,f4635]) ).

tff(f4093,plain,
    ! [X0: 'Nat$'] : ~ $less('of_nat$'('fun_app$d'('power$a'('nat$'(2)),X0)),'of_nat$'(X0)),
    inference(resolution,[],[f2530,f2073]) ).

tff(f2530,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ~ $less('of_nat$'(X0),'of_nat$'(X1))
      | ~ $less('of_nat$'(X1),'of_nat$'(X0)) ),
    inference(cnf_transformation,[],[f1471]) ).

tff(f1471,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ~ $less('of_nat$'(X0),'of_nat$'(X1))
      | ~ $less('of_nat$'(X1),'of_nat$'(X0)) ),
    inference(ennf_transformation,[],[f923]) ).

tff(f923,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( $less('of_nat$'(X1),'of_nat$'(X0))
     => ~ $less('of_nat$'(X0),'of_nat$'(X1)) ),
    inference(rectify,[],[f713]) ).

tff(f713,plain,
    ! [X1: 'Nat$',X0: 'Nat$'] :
      ( $less('of_nat$'(X0),'of_nat$'(X1))
     => ~ $less('of_nat$'(X1),'of_nat$'(X0)) ),
    inference(theory_normalization,[],[f581]) ).

tff(f581,axiom,
    ! [X1: 'Nat$',X0: 'Nat$'] :
      ( $less('of_nat$'(X0),'of_nat$'(X1))
     => $lesseq('of_nat$'(X0),'of_nat$'(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom579) ).

tff(f4719,plain,
    ( ~ spl13_70
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f4690,f4634,f4717]) ).

tff(f4690,plain,
    ( ~ $less('times$c'(2,2),2)
    | ~ spl13_64 ),
    inference(superposition,[],[f2178,f4635]) ).

tff(f2178,plain,
    ! [X0: 'Nat$'] : ~ $less('times$c'('of_nat$'(X0),'of_nat$'(X0)),'of_nat$'(X0)),
    inference(cnf_transformation,[],[f798]) ).

tff(f798,plain,
    ! [X0: 'Nat$'] : ~ $less('times$c'('of_nat$'(X0),'of_nat$'(X0)),'of_nat$'(X0)),
    inference(theory_normalization,[],[f576]) ).

tff(f576,axiom,
    ! [X0: 'Nat$'] : $lesseq('of_nat$'(X0),'times$c'('of_nat$'(X0),'of_nat$'(X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom574) ).

tff(f4715,plain,
    ( spl13_69
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f4688,f4634,f4713]) ).

tff(f4688,plain,
    ( $less(2,'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(2))))
    | ~ spl13_64 ),
    inference(superposition,[],[f2073,f4635]) ).

tff(f4674,plain,
    ( spl13_67
    | ~ spl13_59
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f4673,f4634,f4184,f4665]) ).

tff(f4184,plain,
    ( spl13_59
  <=> $less(1,'times$c'('of_nat$'('nat$'(2)),'of_nat$'('nat$'(2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_59])]) ).

tff(f4673,plain,
    ( $less(1,'times$c'(2,2))
    | ~ spl13_59
    | ~ spl13_64 ),
    inference(forward_demodulation,[],[f4185,f4635]) ).

tff(f4185,plain,
    ( $less(1,'times$c'('of_nat$'('nat$'(2)),'of_nat$'('nat$'(2))))
    | ~ spl13_59 ),
    inference(avatar_component_clause,[],[f4184]) ).

tff(f4672,plain,
    ( spl13_68
    | ~ spl13_58
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f4668,f4634,f4181,f4670]) ).

tff(f4181,plain,
    ( spl13_58
  <=> ( 1 = 'times$c'('of_nat$'('nat$'(2)),'of_nat$'('nat$'(2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_58])]) ).

tff(f4668,plain,
    ( ( 1 = 'times$c'(2,2) )
    | ~ spl13_58
    | ~ spl13_64 ),
    inference(forward_demodulation,[],[f4182,f4635]) ).

tff(f4182,plain,
    ( ( 1 = 'times$c'('of_nat$'('nat$'(2)),'of_nat$'('nat$'(2))) )
    | ~ spl13_58 ),
    inference(avatar_component_clause,[],[f4181]) ).

tff(f4667,plain,
    ( spl13_67
    | ~ spl13_59
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f4657,f4634,f4184,f4665]) ).

tff(f4657,plain,
    ( $less(1,'times$c'(2,2))
    | ~ spl13_59
    | ~ spl13_64 ),
    inference(backward_demodulation,[],[f4185,f4635]) ).

tff(f4662,plain,
    ( ~ spl13_66
    | spl13_57
    | ~ spl13_64 ),
    inference(avatar_split_clause,[],[f4656,f4634,f4127,f4660]) ).

tff(f4656,plain,
    ( ~ $less('times$c'(2,2),1)
    | spl13_57
    | ~ spl13_64 ),
    inference(backward_demodulation,[],[f4128,f4635]) ).

tff(f4649,plain,
    ( spl13_64
    | spl13_55 ),
    inference(avatar_split_clause,[],[f4621,f4111,f4634]) ).

tff(f4111,plain,
    ( spl13_55
  <=> $less('of_nat$'('nat$'(2)),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_55])]) ).

tff(f4621,plain,
    ( ( 2 = 'of_nat$'('nat$'(2)) )
    | spl13_55 ),
    inference(evaluation,[],[f4587]) ).

tff(f4587,plain,
    ( ( 2 = 'of_nat$'('nat$'(2)) )
    | ~ $less(0,1)
    | spl13_55 ),
    inference(superposition,[],[f4112,f3244]) ).

tff(f4112,plain,
    ( ~ $less('of_nat$'('nat$'(2)),1)
    | spl13_55 ),
    inference(avatar_component_clause,[],[f4111]) ).

tff(f4647,plain,
    ( spl13_64
    | ~ spl13_48 ),
    inference(avatar_split_clause,[],[f4626,f3431,f4634]) ).

tff(f3431,plain,
    ( spl13_48
  <=> $less(1,'of_nat$'('nat$'(2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).

tff(f4626,plain,
    ( ( 2 = 'of_nat$'('nat$'(2)) )
    | ~ spl13_48 ),
    inference(evaluation,[],[f4588]) ).

tff(f4588,plain,
    ( $less(1,0)
    | ( 2 = 'of_nat$'('nat$'(2)) )
    | ~ spl13_48 ),
    inference(superposition,[],[f3432,f3244]) ).

tff(f3432,plain,
    ( $less(1,'of_nat$'('nat$'(2)))
    | ~ spl13_48 ),
    inference(avatar_component_clause,[],[f3431]) ).

tff(f4646,plain,
    ( spl13_64
    | ~ spl13_59 ),
    inference(avatar_split_clause,[],[f4645,f4184,f4634]) ).

tff(f4645,plain,
    ( ( 2 = 'of_nat$'('nat$'(2)) )
    | ~ spl13_59 ),
    inference(evaluation,[],[f4644]) ).

tff(f4644,plain,
    ( $less(1,0)
    | ( 2 = 'of_nat$'('nat$'(2)) )
    | ~ spl13_59 ),
    inference(forward_demodulation,[],[f4583,f2731]) ).

tff(f2731,plain,
    ! [X1: $int] : ( 0 = 'times$c'(X1,0) ),
    inference(equality_resolution,[],[f2446]) ).

tff(f2446,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 != X0 )
      | ( 0 = 'times$c'(X1,X0) ) ),
    inference(cnf_transformation,[],[f1537]) ).

tff(f1537,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 = 'times$c'(X1,X0) )
      | ( ( 0 != X1 )
        & ( 0 != X0 ) ) ),
    inference(ennf_transformation,[],[f964]) ).

tff(f964,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 != 'times$c'(X1,X0) )
     => ( ( 0 != X1 )
        & ( 0 != X0 ) ) ),
    inference(rectify,[],[f623]) ).

tff(f623,axiom,
    ! [X1: $int,X0: $int] :
      ( ( 0 != 'times$c'(X0,X1) )
     => ( ( 0 != X0 )
        & ( 0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom621) ).

tff(f4583,plain,
    ( $less(1,'times$c'(0,0))
    | ( 2 = 'of_nat$'('nat$'(2)) )
    | ~ spl13_59 ),
    inference(superposition,[],[f4185,f3244]) ).

tff(f4643,plain,
    ( spl13_64
    | spl13_56 ),
    inference(avatar_split_clause,[],[f4628,f4118,f4634]) ).

tff(f4118,plain,
    ( spl13_56
  <=> ( 0 = 'of_nat$'('nat$'(2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_56])]) ).

tff(f4628,plain,
    ( ( 2 = 'of_nat$'('nat$'(2)) )
    | spl13_56 ),
    inference(trivial_inequality_removal,[],[f4586]) ).

tff(f4586,plain,
    ( ( 0 != 0 )
    | ( 2 = 'of_nat$'('nat$'(2)) )
    | spl13_56 ),
    inference(superposition,[],[f4119,f3244]) ).

tff(f4119,plain,
    ( ( 0 != 'of_nat$'('nat$'(2)) )
    | spl13_56 ),
    inference(avatar_component_clause,[],[f4118]) ).

tff(f4640,plain,
    ( spl13_65
    | spl13_64
    | spl13_55 ),
    inference(avatar_split_clause,[],[f4585,f4111,f4634,f4638]) ).

tff(f4638,plain,
    ( spl13_65
  <=> ! [X2: 'Nat$'] : ~ $less('fun_app$e'('power$b'(0),X2),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_65])]) ).

tff(f4585,plain,
    ( ! [X2: 'Nat$'] :
        ( ( 2 = 'of_nat$'('nat$'(2)) )
        | ~ $less('fun_app$e'('power$b'(0),X2),1) )
    | spl13_55 ),
    inference(superposition,[],[f4115,f3244]) ).

tff(f4115,plain,
    ( ! [X0: 'Nat$'] : ~ $less('fun_app$e'('power$b'('of_nat$'('nat$'(2))),X0),1)
    | spl13_55 ),
    inference(resolution,[],[f4112,f2137]) ).

tff(f4636,plain,
    ( spl13_64
    | spl13_57 ),
    inference(avatar_split_clause,[],[f4632,f4127,f4634]) ).

tff(f4632,plain,
    ( ( 2 = 'of_nat$'('nat$'(2)) )
    | spl13_57 ),
    inference(evaluation,[],[f4631]) ).

tff(f4631,plain,
    ( ~ $less(0,1)
    | ( 2 = 'of_nat$'('nat$'(2)) )
    | spl13_57 ),
    inference(forward_demodulation,[],[f4584,f2731]) ).

tff(f4584,plain,
    ( ( 2 = 'of_nat$'('nat$'(2)) )
    | ~ $less('times$c'(0,0),1)
    | spl13_57 ),
    inference(superposition,[],[f4128,f3244]) ).

tff(f4571,plain,
    ( spl13_63
    | ~ spl13_20 ),
    inference(avatar_split_clause,[],[f4553,f2889,f4569]) ).

tff(f4569,plain,
    ( spl13_63
  <=> ( 0 = 'fun_app$e'('power$b'(0),'n$') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_63])]) ).

tff(f4553,plain,
    ( ( 0 = 'fun_app$e'('power$b'(0),'n$') )
    | ~ spl13_20 ),
    inference(resolution,[],[f2636,f2890]) ).

tff(f4567,plain,
    ( spl13_62
    | ~ spl13_50 ),
    inference(avatar_split_clause,[],[f4557,f3609,f4565]) ).

tff(f4565,plain,
    ( spl13_62
  <=> ( 0 = 'fun_app$e'('power$b'(0),'fun_app$d'('power$a'('nat$'(2)),'nat$'(0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_62])]) ).

tff(f4557,plain,
    ( ( 0 = 'fun_app$e'('power$b'(0),'fun_app$d'('power$a'('nat$'(2)),'nat$'(0))) )
    | ~ spl13_50 ),
    inference(resolution,[],[f2636,f3610]) ).

tff(f4257,plain,
    spl13_61,
    inference(avatar_split_clause,[],[f4247,f4255]) ).

tff(f4247,plain,
    $less(1.0,'times$'(sK12(1.0),'times$'(sK12(1.0),sK12(1.0)))),
    inference(superposition,[],[f3973,f1698]) ).

tff(f1698,plain,
    ! [X0: $real] : ( 'fun_app$a'('power$'(X0),'nat$'(2)) = 'times$'(X0,X0) ),
    inference(cnf_transformation,[],[f104]) ).

tff(f104,axiom,
    ! [X0: $real] : ( 'fun_app$a'('power$'(X0),'nat$'(2)) = 'times$'(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom102) ).

tff(f3973,plain,
    ! [X14: 'Nat$'] : $less(1.0,'times$'(sK12(1.0),'fun_app$a'('power$'(sK12(1.0)),X14))),
    inference(resolution,[],[f1697,f2595]) ).

tff(f1697,plain,
    ! [X0: $real,X1: 'Nat$'] :
      ( ~ $less(1.0,X0)
      | $less(1.0,'times$'(X0,'fun_app$a'('power$'(X0),X1))) ),
    inference(cnf_transformation,[],[f1366]) ).

tff(f1366,plain,
    ! [X1: 'Nat$',X0: $real] :
      ( $less(1.0,'times$'(X0,'fun_app$a'('power$'(X0),X1)))
      | ~ $less(1.0,X0) ),
    inference(ennf_transformation,[],[f187]) ).

tff(f187,axiom,
    ! [X0: $real,X1: 'Nat$'] :
      ( $less(1.0,X0)
     => $less(1.0,'times$'(X0,'fun_app$a'('power$'(X0),X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom185) ).

tff(f4253,plain,
    spl13_60,
    inference(avatar_split_clause,[],[f4246,f4251]) ).

tff(f4246,plain,
    $less(1.0,'times$'(sK12(1.0),sK12(1.0))),
    inference(superposition,[],[f3973,f2439]) ).

tff(f2439,plain,
    ! [X0: $real] : ( 'fun_app$a'('power$'(X0),'nat$'(1)) = X0 ),
    inference(cnf_transformation,[],[f35]) ).

tff(f35,axiom,
    ! [X0: $real] : ( 'fun_app$a'('power$'(X0),'nat$'(1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom33) ).

tff(f4186,plain,
    ( spl13_58
    | spl13_59
    | spl13_57 ),
    inference(avatar_split_clause,[],[f4179,f4127,f4184,f4181]) ).

tff(f4179,plain,
    ( $less(1,'times$c'('of_nat$'('nat$'(2)),'of_nat$'('nat$'(2))))
    | ( 1 = 'times$c'('of_nat$'('nat$'(2)),'of_nat$'('nat$'(2))) )
    | spl13_57 ),
    inference(resolution,[],[f4128,f2554]) ).

tff(f4129,plain,
    ( ~ spl13_57
    | spl13_55 ),
    inference(avatar_split_clause,[],[f4125,f4111,f4127]) ).

tff(f4125,plain,
    ( ~ $less('times$c'('of_nat$'('nat$'(2)),'of_nat$'('nat$'(2))),1)
    | spl13_55 ),
    inference(superposition,[],[f4115,f1644]) ).

tff(f4120,plain,
    ( ~ spl13_56
    | spl13_55 ),
    inference(avatar_split_clause,[],[f4114,f4111,f4118]) ).

tff(f4114,plain,
    ( ( 0 != 'of_nat$'('nat$'(2)) )
    | spl13_55 ),
    inference(resolution,[],[f4112,f2399]) ).

tff(f4113,plain,
    ( ~ spl13_55
    | ~ spl13_44
    | ~ spl13_48 ),
    inference(avatar_split_clause,[],[f4103,f3431,f3238,f4111]) ).

tff(f4103,plain,
    ( ~ $less('of_nat$'('nat$'(2)),1)
    | ~ spl13_44
    | ~ spl13_48 ),
    inference(resolution,[],[f4101,f3432]) ).

tff(f4101,plain,
    ( ! [X4: 'Nat$'] :
        ( ~ $less(1,'of_nat$'(X4))
        | ~ $less('of_nat$'(X4),1) )
    | ~ spl13_44 ),
    inference(superposition,[],[f2530,f3239]) ).

tff(f3800,plain,
    ( spl13_54
    | ~ spl13_50 ),
    inference(avatar_split_clause,[],[f3786,f3609,f3798]) ).

tff(f3798,plain,
    ( spl13_54
  <=> ( 0.0 = 'fun_app$a'('power$'(0.0),'fun_app$d'('power$a'('nat$'(2)),'nat$'(0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_54])]) ).

tff(f3786,plain,
    ( ( 0.0 = 'fun_app$a'('power$'(0.0),'fun_app$d'('power$a'('nat$'(2)),'nat$'(0))) )
    | ~ spl13_50 ),
    inference(resolution,[],[f2632,f3610]) ).

tff(f3796,plain,
    ( spl13_53
    | ~ spl13_20 ),
    inference(avatar_split_clause,[],[f3783,f2889,f3794]) ).

tff(f3794,plain,
    ( spl13_53
  <=> ( 0.0 = 'fun_app$a'('power$'(0.0),'n$') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_53])]) ).

tff(f3783,plain,
    ( ( 0.0 = 'fun_app$a'('power$'(0.0),'n$') )
    | ~ spl13_20 ),
    inference(resolution,[],[f2632,f2890]) ).

tff(f3649,plain,
    ( ~ spl13_51
    | spl13_52 ),
    inference(avatar_split_clause,[],[f3640,f3647,f3644]) ).

tff(f3644,plain,
    ( spl13_51
  <=> ( 'one$b' = 'zero$' ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_51])]) ).

tff(f3647,plain,
    ( spl13_52
  <=> ! [X2: 'Nat$'] : ( 'zero$' = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_52])]) ).

tff(f3640,plain,
    ! [X2: 'Nat$'] :
      ( ( 'zero$' = X2 )
      | ( 'one$b' != 'zero$' ) ),
    inference(superposition,[],[f2522,f1689]) ).

tff(f2522,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( 'zero$' != 'fun_app$d'('power$a'(X1),X0) )
      | ( 'zero$' = X1 ) ),
    inference(cnf_transformation,[],[f1069]) ).

tff(f3611,plain,
    ( spl13_50
    | ~ spl13_49 ),
    inference(avatar_split_clause,[],[f3595,f3585,f3609]) ).

tff(f3595,plain,
    ( $less(0,'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(0))))
    | ~ spl13_49 ),
    inference(superposition,[],[f2073,f3586]) ).

tff(f3589,plain,
    spl13_49,
    inference(avatar_split_clause,[],[f3569,f3585]) ).

tff(f3569,plain,
    0 = 'of_nat$'('nat$'(0)),
    inference(superposition,[],[f3232,f2731]) ).

tff(f3587,plain,
    spl13_49,
    inference(avatar_split_clause,[],[f3570,f3585]) ).

tff(f3570,plain,
    0 = 'of_nat$'('nat$'(0)),
    inference(superposition,[],[f3232,f2697]) ).

tff(f2697,plain,
    ! [X0: $int] : ( 0 = 'times$c'(0,X0) ),
    inference(equality_resolution,[],[f2244]) ).

tff(f2244,plain,
    ! [X0: $int,X1: $int] :
      ( ( 'times$c'(X1,X0) = X1 )
      | ( 0 != X1 ) ),
    inference(cnf_transformation,[],[f1048]) ).

tff(f1048,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( 0 = X1 )
        | ( 1 = X0 ) )
    <=> ( 'times$c'(X1,X0) = X1 ) ),
    inference(rectify,[],[f560]) ).

tff(f560,axiom,
    ! [X1: $int,X0: $int] :
      ( ( ( 0 = X0 )
        | ( 1 = X1 ) )
    <=> ( 'times$c'(X0,X1) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom558) ).

tff(f3435,plain,
    ( spl13_48
    | ~ spl13_44 ),
    inference(avatar_split_clause,[],[f3434,f3238,f3431]) ).

tff(f3434,plain,
    ( $less(1,'of_nat$'('nat$'(2)))
    | ~ spl13_44 ),
    inference(forward_demodulation,[],[f3427,f1834]) ).

tff(f3427,plain,
    ( $less(1,'of_nat$'('fun_app$d'('power$a'('nat$'(2)),'nat$'(1))))
    | ~ spl13_44 ),
    inference(superposition,[],[f2073,f3239]) ).

tff(f3433,plain,
    ( spl13_48
    | ~ spl13_44 ),
    inference(avatar_split_clause,[],[f3429,f3238,f3431]) ).

tff(f3429,plain,
    ( $less(1,'of_nat$'('nat$'(2)))
    | ~ spl13_44 ),
    inference(forward_demodulation,[],[f3428,f3239]) ).

tff(f3428,plain,
    $less('of_nat$'('nat$'(1)),'of_nat$'('nat$'(2))),
    inference(superposition,[],[f2073,f1834]) ).

tff(f3389,plain,
    spl13_47,
    inference(avatar_split_clause,[],[f3384,f3387]) ).

tff(f3387,plain,
    ( spl13_47
  <=> $less(0,'times$c'(2,2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).

tff(f3384,plain,
    $less(0,'times$c'(2,2)),
    inference(superposition,[],[f1567,f1644]) ).

tff(f1567,plain,
    ! [X0: 'Nat$'] : $less(0,'fun_app$e'('power$b'(2),X0)),
    inference(cnf_transformation,[],[f725]) ).

tff(f725,plain,
    ! [X0: 'Nat$'] : $less(0,'fun_app$e'('power$b'(2),X0)),
    inference(theory_normalization,[],[f617]) ).

tff(f617,axiom,
    ! [X0: 'Nat$'] : ~ $lesseq('fun_app$e'('power$b'(2),X0),0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom615) ).

tff(f3321,plain,
    ( spl13_45
    | spl13_46
    | spl13_40 ),
    inference(avatar_split_clause,[],[f3307,f3116,f3319,f3316]) ).

tff(f3319,plain,
    ( spl13_46
  <=> ( 'fun_app$'('divide$'('fun_app$'('divide$'(1.0),2.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')) = 'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_46])]) ).

tff(f3307,plain,
    ( ( 'fun_app$'('divide$'('fun_app$'('divide$'(1.0),2.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')) = 'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')) )
    | $less('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'('fun_app$'('divide$'(1.0),2.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_40 ),
    inference(resolution,[],[f1882,f3117]) ).

tff(f3240,plain,
    ( spl13_44
    | ~ spl13_26 ),
    inference(avatar_split_clause,[],[f3233,f2920,f3238]) ).

tff(f3233,plain,
    ( ( 1 = 'of_nat$'('nat$'(1)) )
    | ~ spl13_26 ),
    inference(superposition,[],[f3231,f2921]) ).

tff(f3218,plain,
    spl13_43,
    inference(avatar_split_clause,[],[f3214,f3216]) ).

tff(f3214,plain,
    $less('fun_app$'('divide$'(1.0),sK4(0.0)),0.0),
    inference(resolution,[],[f1560,f1786]) ).

tff(f3129,plain,
    ( ~ spl13_42
    | ~ spl13_10
    | spl13_36 ),
    inference(avatar_split_clause,[],[f3125,f3083,f2819,f3127]) ).

tff(f3083,plain,
    ( spl13_36
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'('norm$'(1.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'norm$'('norm$a'('f$'('n$')))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).

tff(f3125,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'norm$'('norm$a'('f$'('n$'))))
    | ~ spl13_10
    | spl13_36 ),
    inference(forward_demodulation,[],[f3084,f2820]) ).

tff(f3084,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'('norm$'(1.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'norm$'('norm$a'('f$'('n$'))))
    | spl13_36 ),
    inference(avatar_component_clause,[],[f3083]) ).

tff(f3123,plain,
    ( spl13_41
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f3119,f2884,f3121]) ).

tff(f3121,plain,
    ( spl13_41
  <=> $less(0.0,'fun_app$'('divide$'(1.0),'c$a')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).

tff(f2884,plain,
    ( spl13_19
  <=> $less(0.0,'inverse$'('c$a')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).

tff(f3119,plain,
    ( $less(0.0,'fun_app$'('divide$'(1.0),'c$a'))
    | ~ spl13_19 ),
    inference(forward_demodulation,[],[f2885,f2082]) ).

tff(f2885,plain,
    ( $less(0.0,'inverse$'('c$a'))
    | ~ spl13_19 ),
    inference(avatar_component_clause,[],[f2884]) ).

tff(f3118,plain,
    ( ~ spl13_40
    | spl13_8
    | ~ spl13_10 ),
    inference(avatar_split_clause,[],[f3114,f2819,f2811,f3116]) ).

tff(f2811,plain,
    ( spl13_8
  <=> $less('times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).

tff(f3114,plain,
    ( ~ $less('fun_app$'('divide$'('fun_app$'('divide$'(1.0),2.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_8
    | ~ spl13_10 ),
    inference(forward_demodulation,[],[f3113,f2737]) ).

tff(f3113,plain,
    ( ~ $less('fun_app$'('divide$'('times$'('fun_app$'('divide$'(1.0),2.0),1.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_8
    | ~ spl13_10 ),
    inference(forward_demodulation,[],[f3112,f1607]) ).

tff(f1607,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( 'times$'(X0,'fun_app$'('divide$'(X1),X2)) = 'fun_app$'('divide$'('times$'(X0,X1)),X2) ),
    inference(cnf_transformation,[],[f213]) ).

tff(f213,axiom,
    ! [X2: $real,X1: $real,X0: $real] : ( 'times$'(X0,'fun_app$'('divide$'(X1),X2)) = 'fun_app$'('divide$'('times$'(X0,X1)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom211) ).

tff(f3112,plain,
    ( ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$'))),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_8
    | ~ spl13_10 ),
    inference(forward_demodulation,[],[f3111,f2493]) ).

tff(f3111,plain,
    ( ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'fun_app$'('divide$'('fun_app$a'('power$'(1.0),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$'))),'fun_app$'('divide$'('fun_app$a'('power$'(1.0),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_8
    | ~ spl13_10 ),
    inference(forward_demodulation,[],[f3110,f2820]) ).

tff(f3110,plain,
    ( ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'fun_app$'('divide$'('fun_app$a'('power$'('norm$'(1.0)),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$'))),'fun_app$'('divide$'('fun_app$a'('power$'('norm$'(1.0)),'n$')),'fun_app$a'('power$'('norm$'('c$')),'n$')))
    | spl13_8 ),
    inference(forward_demodulation,[],[f3109,f1904]) ).

tff(f1904,plain,
    ! [X2: 'Nat$',X0: $real,X1: $real] : ( 'fun_app$a'('power$'('fun_app$'('divide$'(X0),X1)),X2) = 'fun_app$'('divide$'('fun_app$a'('power$'(X0),X2)),'fun_app$a'('power$'(X1),X2)) ),
    inference(cnf_transformation,[],[f145]) ).

tff(f145,axiom,
    ! [X1: $real,X2: 'Nat$',X0: $real] : ( 'fun_app$a'('power$'('fun_app$'('divide$'(X0),X1)),X2) = 'fun_app$'('divide$'('fun_app$a'('power$'(X0),X2)),'fun_app$a'('power$'(X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom143) ).

tff(f3109,plain,
    ( ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'fun_app$a'('power$'('fun_app$'('divide$'('norm$'(1.0)),'norm$'('c$'))),'n$')),'fun_app$a'('power$'('fun_app$'('divide$'('norm$'(1.0)),'norm$'('c$'))),'n$'))
    | spl13_8 ),
    inference(forward_demodulation,[],[f3108,f2299]) ).

tff(f3108,plain,
    ( ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'fun_app$a'('power$'('norm$'('fun_app$'('divide$'(1.0),'c$'))),'n$')),'fun_app$a'('power$'('norm$'('fun_app$'('divide$'(1.0),'c$'))),'n$'))
    | spl13_8 ),
    inference(forward_demodulation,[],[f3107,f2082]) ).

tff(f3107,plain,
    ( ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'fun_app$a'('power$'('norm$'('inverse$'('c$'))),'n$')),'fun_app$a'('power$'('norm$'('inverse$'('c$'))),'n$'))
    | spl13_8 ),
    inference(forward_demodulation,[],[f2812,f2445]) ).

tff(f2812,plain,
    ( ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$')))
    | spl13_8 ),
    inference(avatar_component_clause,[],[f2811]) ).

tff(f3106,plain,
    ( spl13_39
    | ~ spl13_23 ),
    inference(avatar_split_clause,[],[f3102,f2904,f3104]) ).

tff(f3104,plain,
    ( spl13_39
  <=> $less('fun_app$'('divide$'(1.0),'u$'),'c$') ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).

tff(f2904,plain,
    ( spl13_23
  <=> $less('inverse$'('u$'),'c$') ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).

tff(f3102,plain,
    ( $less('fun_app$'('divide$'(1.0),'u$'),'c$')
    | ~ spl13_23 ),
    inference(forward_demodulation,[],[f2905,f2082]) ).

tff(f2905,plain,
    ( $less('inverse$'('u$'),'c$')
    | ~ spl13_23 ),
    inference(avatar_component_clause,[],[f2904]) ).

tff(f3101,plain,
    ( spl13_38
    | ~ spl13_27 ),
    inference(avatar_split_clause,[],[f3097,f2926,f3099]) ).

tff(f3099,plain,
    ( spl13_38
  <=> $less(0.0,'fun_app$'('divide$'(1.0),'u$')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).

tff(f2926,plain,
    ( spl13_27
  <=> $less(0.0,'inverse$'('u$')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).

tff(f3097,plain,
    ( $less(0.0,'fun_app$'('divide$'(1.0),'u$'))
    | ~ spl13_27 ),
    inference(forward_demodulation,[],[f2927,f2082]) ).

tff(f2927,plain,
    ( $less(0.0,'inverse$'('u$'))
    | ~ spl13_27 ),
    inference(avatar_component_clause,[],[f2926]) ).

tff(f3094,plain,
    ( ~ spl13_37
    | ~ spl13_10
    | spl13_28 ),
    inference(avatar_split_clause,[],[f3090,f2936,f2819,f3092]) ).

tff(f2936,plain,
    ( spl13_28
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'norm$'('inverse$'('fun_app$a'('power$'('c$'),'n$'))))),'norm$a'('f$'('n$'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).

tff(f3090,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'(1.0),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'norm$a'('f$'('n$')))
    | ~ spl13_10
    | spl13_28 ),
    inference(forward_demodulation,[],[f3089,f2820]) ).

tff(f3089,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'('norm$'(1.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'norm$a'('f$'('n$')))
    | spl13_28 ),
    inference(forward_demodulation,[],[f3088,f2445]) ).

tff(f3088,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'('norm$'(1.0)),'norm$'('fun_app$a'('power$'('c$'),'n$'))))),'norm$a'('f$'('n$')))
    | spl13_28 ),
    inference(forward_demodulation,[],[f3087,f2299]) ).

tff(f3087,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'norm$'('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('c$'),'n$'))))),'norm$a'('f$'('n$')))
    | spl13_28 ),
    inference(forward_demodulation,[],[f2937,f2082]) ).

tff(f2937,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'norm$'('inverse$'('fun_app$a'('power$'('c$'),'n$'))))),'norm$a'('f$'('n$')))
    | spl13_28 ),
    inference(avatar_component_clause,[],[f2936]) ).

tff(f3085,plain,
    ( ~ spl13_36
    | spl13_32 ),
    inference(avatar_split_clause,[],[f3081,f2975,f3083]) ).

tff(f2975,plain,
    ( spl13_32
  <=> $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'norm$'('inverse$'('fun_app$a'('power$'('c$'),'n$'))))),'norm$'('norm$a'('f$'('n$')))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).

tff(f3081,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'('norm$'(1.0)),'fun_app$a'('power$'('norm$'('c$')),'n$')))),'norm$'('norm$a'('f$'('n$'))))
    | spl13_32 ),
    inference(forward_demodulation,[],[f3080,f2445]) ).

tff(f3080,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'fun_app$'('divide$'('norm$'(1.0)),'norm$'('fun_app$a'('power$'('c$'),'n$'))))),'norm$'('norm$a'('f$'('n$'))))
    | spl13_32 ),
    inference(forward_demodulation,[],[f3079,f2299]) ).

tff(f3079,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'norm$'('fun_app$'('divide$'(1.0),'fun_app$a'('power$'('c$'),'n$'))))),'norm$'('norm$a'('f$'('n$'))))
    | spl13_32 ),
    inference(forward_demodulation,[],[f2976,f2082]) ).

tff(f2976,plain,
    ( ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'norm$'('inverse$'('fun_app$a'('power$'('c$'),'n$'))))),'norm$'('norm$a'('f$'('n$'))))
    | spl13_32 ),
    inference(avatar_component_clause,[],[f2975]) ).

tff(f3078,plain,
    ( spl13_35
    | ~ spl13_5 ),
    inference(avatar_split_clause,[],[f3074,f2791,f3076]) ).

tff(f3076,plain,
    ( spl13_35
  <=> $less('fun_app$'('divide$'(1.0),'c$a'),'u$') ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).

tff(f2791,plain,
    ( spl13_5
  <=> $less('inverse$'('c$a'),'u$') ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

tff(f3074,plain,
    ( $less('fun_app$'('divide$'(1.0),'c$a'),'u$')
    | ~ spl13_5 ),
    inference(forward_demodulation,[],[f2792,f2082]) ).

tff(f2792,plain,
    ( $less('inverse$'('c$a'),'u$')
    | ~ spl13_5 ),
    inference(avatar_component_clause,[],[f2791]) ).

tff(f3072,plain,
    spl13_12,
    inference(avatar_split_clause,[],[f1912,f2835]) ).

tff(f2835,plain,
    ( spl13_12
  <=> ( 0 = 'fun_app$e'('power$b'(0),'nat$'(2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).

tff(f1912,plain,
    0 = 'fun_app$e'('power$b'(0),'nat$'(2)),
    inference(cnf_transformation,[],[f101]) ).

tff(f101,axiom,
    0 = 'fun_app$e'('power$b'(0),'nat$'(2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom99) ).

tff(f3069,plain,
    spl13_34,
    inference(avatar_split_clause,[],[f3065,f3067]) ).

tff(f3067,plain,
    ( spl13_34
  <=> $less('l$','fun_app$'('divide$'(1.0),'c$a')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).

tff(f3065,plain,
    $less('l$','fun_app$'('divide$'(1.0),'c$a')),
    inference(forward_demodulation,[],[f2306,f2082]) ).

tff(f2306,plain,
    $less('l$','inverse$'('c$a')),
    inference(cnf_transformation,[],[f28]) ).

tff(f28,axiom,
    $less('l$','inverse$'('c$a')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom26) ).

tff(f3063,plain,
    spl13_26,
    inference(avatar_split_clause,[],[f2732,f2920]) ).

tff(f2732,plain,
    1 = 'numeral$a'('one$'),
    inference(equality_resolution,[],[f2450]) ).

tff(f2450,plain,
    ! [X0: 'Num$'] :
      ( ( 1 = 'numeral$a'(X0) )
      | ( 'one$' != X0 ) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,axiom,
    ! [X0: 'Num$'] :
      ( ( 'one$' = X0 )
    <=> ( 1 = 'numeral$a'(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom19) ).

tff(f3056,plain,
    spl13_25,
    inference(avatar_split_clause,[],[f2720,f2914]) ).

tff(f2914,plain,
    ( spl13_25
  <=> ( 0.0 = 'inverse$'(0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).

tff(f2720,plain,
    0.0 = 'inverse$'(0.0),
    inference(equality_resolution,[],[f2343]) ).

tff(f2343,plain,
    ! [X0: $real] :
      ( ( 0.0 != X0 )
      | ( 0.0 = 'inverse$'(X0) ) ),
    inference(cnf_transformation,[],[f217]) ).

tff(f217,axiom,
    ! [X0: $real] :
      ( ( 0.0 = 'inverse$'(X0) )
    <=> ( 0.0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom215) ).

tff(f3052,plain,
    spl13_33,
    inference(avatar_split_clause,[],[f2513,f3050]) ).

tff(f3050,plain,
    ( spl13_33
  <=> $less(0.0,'c$') ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).

tff(f2513,plain,
    $less(0.0,'c$'),
    inference(cnf_transformation,[],[f3]) ).

tff(f3,axiom,
    $less(0.0,'c$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).

tff(f2978,plain,
    spl13_3,
    inference(avatar_split_clause,[],[f1656,f2776]) ).

tff(f2776,plain,
    ( spl13_3
  <=> ( 1.0 = 'inverse$'(1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

tff(f1656,plain,
    1.0 = 'inverse$'(1.0),
    inference(cnf_transformation,[],[f175]) ).

tff(f175,axiom,
    1.0 = 'inverse$'(1.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom173) ).

tff(f2977,plain,
    ~ spl13_32,
    inference(avatar_split_clause,[],[f2973,f2975]) ).

tff(f2973,plain,
    ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'norm$'('inverse$'('fun_app$a'('power$'('c$'),'n$'))))),'norm$'('norm$a'('f$'('n$')))),
    inference(forward_demodulation,[],[f2972,f2075]) ).

tff(f2075,plain,
    ! [X0: $real,X1: 'Nat$'] : ( 'fun_app$a'('power$'('inverse$'(X0)),X1) = 'inverse$'('fun_app$a'('power$'(X0),X1)) ),
    inference(cnf_transformation,[],[f146]) ).

tff(f146,axiom,
    ! [X1: 'Nat$',X0: $real] : ( 'fun_app$a'('power$'('inverse$'(X0)),X1) = 'inverse$'('fun_app$a'('power$'(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom144) ).

tff(f2972,plain,
    ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$')))),'norm$'('norm$a'('f$'('n$')))),
    inference(forward_demodulation,[],[f2971,f1645]) ).

tff(f2971,plain,
    ~ $less('fun_app$'('divide$'('times$'(1.0,'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$')))),2.0),'norm$'('norm$a'('f$'('n$')))),
    inference(forward_demodulation,[],[f2260,f2345]) ).

tff(f2345,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( 'fun_app$'('divide$'('times$'(X1,X0)),X2) = 'times$'('fun_app$'('divide$'(X1),X2),X0) ),
    inference(cnf_transformation,[],[f1071]) ).

tff(f1071,plain,
    ! [X0: $real,X2: $real,X1: $real] : ( 'fun_app$'('divide$'('times$'(X1,X0)),X2) = 'times$'('fun_app$'('divide$'(X1),X2),X0) ),
    inference(rectify,[],[f210]) ).

tff(f210,axiom,
    ! [X2: $real,X0: $real,X1: $real] : ( 'times$'('fun_app$'('divide$'(X0),X1),X2) = 'fun_app$'('divide$'('times$'(X0,X2)),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom208) ).

tff(f2260,plain,
    ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),'norm$'('norm$a'('f$'('n$')))),
    inference(cnf_transformation,[],[f674]) ).

tff(f674,plain,
    ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),'norm$'('norm$a'('f$'('n$')))),
    inference(theory_normalization,[],[f328]) ).

tff(f328,axiom,
    $lesseq('norm$'('norm$a'('f$'('n$'))),'times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$')))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom326) ).

tff(f2963,plain,
    spl13_25,
    inference(avatar_split_clause,[],[f2058,f2914]) ).

tff(f2058,plain,
    0.0 = 'inverse$'(0.0),
    inference(cnf_transformation,[],[f274]) ).

tff(f274,axiom,
    0.0 = 'inverse$'(0.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom272) ).

tff(f2962,plain,
    spl13_30,
    inference(avatar_split_clause,[],[f1893,f2954]) ).

tff(f2954,plain,
    ( spl13_30
  <=> ( 'zero$' = 'fun_app$d'('power$a'('zero$'),'nat$'(2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).

tff(f1893,plain,
    'zero$' = 'fun_app$d'('power$a'('zero$'),'nat$'(2)),
    inference(cnf_transformation,[],[f100]) ).

tff(f100,axiom,
    'zero$' = 'fun_app$d'('power$a'('zero$'),'nat$'(2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom98) ).

tff(f2961,plain,
    spl13_31,
    inference(avatar_split_clause,[],[f1994,f2959]) ).

tff(f2959,plain,
    ( spl13_31
  <=> $less(0.0,'u$') ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).

tff(f1994,plain,
    $less(0.0,'u$'),
    inference(cnf_transformation,[],[f29]) ).

tff(f29,axiom,
    $less(0.0,'u$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom27) ).

tff(f2956,plain,
    spl13_30,
    inference(avatar_split_clause,[],[f2647,f2954]) ).

tff(f2647,plain,
    'zero$' = 'fun_app$d'('power$a'('zero$'),'nat$'(2)),
    inference(equality_resolution,[],[f1892]) ).

tff(f1892,plain,
    ! [X0: 'Nat$'] :
      ( ( 'zero$' = 'fun_app$d'('power$a'(X0),'nat$'(2)) )
      | ( 'zero$' != X0 ) ),
    inference(cnf_transformation,[],[f72]) ).

tff(f72,axiom,
    ! [X0: 'Nat$'] :
      ( ( 'zero$' = X0 )
    <=> ( 'zero$' = 'fun_app$d'('power$a'(X0),'nat$'(2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom70) ).

tff(f2952,plain,
    spl13_29,
    inference(avatar_split_clause,[],[f1987,f2950]) ).

tff(f2950,plain,
    ( spl13_29
  <=> $less(0.0,'l$') ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).

tff(f1987,plain,
    $less(0.0,'l$'),
    inference(cnf_transformation,[],[f4]) ).

tff(f4,axiom,
    $less(0.0,'l$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom2) ).

tff(f2944,plain,
    spl13_3,
    inference(avatar_split_clause,[],[f1783,f2776]) ).

tff(f1783,plain,
    1.0 = 'inverse$'(1.0),
    inference(cnf_transformation,[],[f220]) ).

tff(f220,axiom,
    1.0 = 'inverse$'(1.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom218) ).

tff(f2938,plain,
    ~ spl13_28,
    inference(avatar_split_clause,[],[f2934,f2936]) ).

tff(f2934,plain,
    ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'norm$'('inverse$'('fun_app$a'('power$'('c$'),'n$'))))),'norm$a'('f$'('n$'))),
    inference(forward_demodulation,[],[f2933,f2075]) ).

tff(f2933,plain,
    ~ $less('fun_app$'('divide$'(1.0),'fun_app$'('divide$'(2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$')))),'norm$a'('f$'('n$'))),
    inference(forward_demodulation,[],[f2932,f1645]) ).

tff(f2932,plain,
    ~ $less('fun_app$'('divide$'('times$'(1.0,'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$')))),2.0),'norm$a'('f$'('n$'))),
    inference(forward_demodulation,[],[f1851,f2345]) ).

tff(f1851,plain,
    ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),'norm$a'('f$'('n$'))),
    inference(cnf_transformation,[],[f691]) ).

tff(f691,plain,
    ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),'norm$a'('f$'('n$'))),
    inference(theory_normalization,[],[f378]) ).

tff(f378,axiom,
    $lesseq('norm$a'('f$'('n$')),'times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$')))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom376) ).

tff(f2930,plain,
    spl13_9,
    inference(avatar_split_clause,[],[f2337,f2815]) ).

tff(f2815,plain,
    ( spl13_9
  <=> ( 0.0 = 'norm$'(0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).

tff(f2337,plain,
    0.0 = 'norm$'(0.0),
    inference(cnf_transformation,[],[f62]) ).

tff(f62,axiom,
    0.0 = 'norm$'(0.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom60) ).

tff(f2929,plain,
    ~ spl13_24,
    inference(avatar_split_clause,[],[f2690,f2908]) ).

tff(f2908,plain,
    ( spl13_24
  <=> $less(0.0,'norm$a'('zero$a')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).

tff(f2690,plain,
    ~ $less(0.0,'norm$a'('zero$a')),
    inference(equality_resolution,[],[f2118]) ).

tff(f2118,plain,
    ! [X0: 'A$'] :
      ( ~ $less(0.0,'norm$a'(X0))
      | ( 'zero$a' != X0 ) ),
    inference(cnf_transformation,[],[f668]) ).

tff(f668,plain,
    ! [X0: 'A$'] :
      ( ( 'zero$a' = X0 )
    <=> ~ $less(0.0,'norm$a'(X0)) ),
    inference(theory_normalization,[],[f367]) ).

tff(f367,axiom,
    ! [X0: 'A$'] :
      ( $lesseq('norm$a'(X0),0.0)
    <=> ( 'zero$a' = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom365) ).

tff(f2928,plain,
    spl13_27,
    inference(avatar_split_clause,[],[f1861,f2926]) ).

tff(f1861,plain,
    $less(0.0,'inverse$'('u$')),
    inference(cnf_transformation,[],[f39]) ).

tff(f39,axiom,
    $less(0.0,'inverse$'('u$')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom37) ).

tff(f2922,plain,
    spl13_26,
    inference(avatar_split_clause,[],[f2756,f2920]) ).

tff(f2756,plain,
    1 = 'numeral$a'('one$'),
    inference(equality_resolution,[],[f2602]) ).

tff(f2602,plain,
    ! [X0: 'Num$'] :
      ( ( 1 = 'numeral$a'(X0) )
      | ( 'one$' != X0 ) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f2917,plain,
    spl13_21,
    inference(avatar_split_clause,[],[f2704,f2896]) ).

tff(f2704,plain,
    1.0 = 'numeral$'('one$'),
    inference(equality_resolution,[],[f2284]) ).

tff(f2284,plain,
    ! [X0: 'Num$'] :
      ( ( 1.0 = 'numeral$'(X0) )
      | ( 'one$' != X0 ) ),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,axiom,
    ! [X0: 'Num$'] :
      ( ( 'one$' = X0 )
    <=> ( 1.0 = 'numeral$'(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom20) ).

tff(f2916,plain,
    spl13_25,
    inference(avatar_split_clause,[],[f2331,f2914]) ).

tff(f2331,plain,
    0.0 = 'inverse$'(0.0),
    inference(cnf_transformation,[],[f216]) ).

tff(f216,axiom,
    0.0 = 'inverse$'(0.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom214) ).

tff(f2910,plain,
    ~ spl13_24,
    inference(avatar_split_clause,[],[f2703,f2908]) ).

tff(f2703,plain,
    ~ $less(0.0,'norm$a'('zero$a')),
    inference(equality_resolution,[],[f2282]) ).

tff(f2282,plain,
    ! [X0: 'A$'] :
      ( ( 'zero$a' != X0 )
      | ~ $less(0.0,'norm$a'(X0)) ),
    inference(cnf_transformation,[],[f75]) ).

tff(f75,axiom,
    ! [X0: 'A$'] :
      ( $less(0.0,'norm$a'(X0))
    <=> ( 'zero$a' != X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom73) ).

tff(f2906,plain,
    spl13_23,
    inference(avatar_split_clause,[],[f1985,f2904]) ).

tff(f1985,plain,
    $less('inverse$'('u$'),'c$'),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    $less('inverse$'('u$'),'c$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom3) ).

tff(f2902,plain,
    spl13_22,
    inference(avatar_split_clause,[],[f1638,f2900]) ).

tff(f2900,plain,
    ( spl13_22
  <=> $less(0.0,'c$a') ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).

tff(f1638,plain,
    $less(0.0,'c$a'),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,axiom,
    $less(0.0,'c$a'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom5) ).

tff(f2898,plain,
    spl13_21,
    inference(avatar_split_clause,[],[f2671,f2896]) ).

tff(f2671,plain,
    1.0 = 'numeral$'('one$'),
    inference(equality_resolution,[],[f2056]) ).

tff(f2056,plain,
    ! [X0: 'Num$'] :
      ( ( 1.0 = 'numeral$'(X0) )
      | ( 'one$' != X0 ) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f2891,plain,
    spl13_20,
    inference(avatar_split_clause,[],[f2354,f2889]) ).

tff(f2354,plain,
    $less(0,'of_nat$'('n$')),
    inference(cnf_transformation,[],[f40]) ).

tff(f40,axiom,
    $less(0,'of_nat$'('n$')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom38) ).

tff(f2887,plain,
    spl13_15,
    inference(avatar_split_clause,[],[f1641,f2850]) ).

tff(f2850,plain,
    ( spl13_15
  <=> ( 0 = 'fun_app$f'('divide$a'(1),2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).

tff(f1641,plain,
    0 = 'fun_app$f'('divide$a'(1),2),
    inference(cnf_transformation,[],[f191]) ).

tff(f191,axiom,
    0 = 'fun_app$f'('divide$a'(1),2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom189) ).

tff(f2886,plain,
    spl13_19,
    inference(avatar_split_clause,[],[f2121,f2884]) ).

tff(f2121,plain,
    $less(0.0,'inverse$'('c$a')),
    inference(cnf_transformation,[],[f38]) ).

tff(f38,axiom,
    $less(0.0,'inverse$'('c$a')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom36) ).

tff(f2872,plain,
    spl13_18,
    inference(avatar_split_clause,[],[f2532,f2870]) ).

tff(f2870,plain,
    ( spl13_18
  <=> ( 1 = 'fun_app$e'('power$b'(1),'nat$'(2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).

tff(f2532,plain,
    1 = 'fun_app$e'('power$b'(1),'nat$'(2)),
    inference(cnf_transformation,[],[f112]) ).

tff(f112,axiom,
    1 = 'fun_app$e'('power$b'(1),'nat$'(2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom110) ).

tff(f2865,plain,
    spl13_17,
    inference(avatar_split_clause,[],[f2599,f2863]) ).

tff(f2863,plain,
    ( spl13_17
  <=> ( 1.0 = 'norm$a'('one$a') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).

tff(f2599,plain,
    1.0 = 'norm$a'('one$a'),
    inference(cnf_transformation,[],[f19]) ).

tff(f19,axiom,
    1.0 = 'norm$a'('one$a'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom17) ).

tff(f2860,plain,
    ~ spl13_16,
    inference(avatar_split_clause,[],[f2733,f2856]) ).

tff(f2856,plain,
    ( spl13_16
  <=> $less(0.0,'norm$'(0.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).

tff(f2733,plain,
    ~ $less(0.0,'norm$'(0.0)),
    inference(equality_resolution,[],[f2478]) ).

tff(f2478,plain,
    ! [X0: $real] :
      ( ~ $less(0.0,'norm$'(X0))
      | ( 0.0 != X0 ) ),
    inference(cnf_transformation,[],[f74]) ).

tff(f74,axiom,
    ! [X0: $real] :
      ( ( 0.0 != X0 )
    <=> $less(0.0,'norm$'(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom72) ).

tff(f2858,plain,
    ~ spl13_16,
    inference(avatar_split_clause,[],[f2670,f2856]) ).

tff(f2670,plain,
    ~ $less(0.0,'norm$'(0.0)),
    inference(equality_resolution,[],[f2052]) ).

tff(f2052,plain,
    ! [X0: $real] :
      ( ( 0.0 != X0 )
      | ~ $less(0.0,'norm$'(X0)) ),
    inference(cnf_transformation,[],[f719]) ).

tff(f2854,plain,
    spl13_7,
    inference(avatar_split_clause,[],[f2742,f2805]) ).

tff(f2805,plain,
    ( spl13_7
  <=> ( 0.0 = 'fun_app$a'('power$'(0.0),'nat$'(2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).

tff(f2742,plain,
    0.0 = 'fun_app$a'('power$'(0.0),'nat$'(2)),
    inference(equality_resolution,[],[f2529]) ).

tff(f2529,plain,
    ! [X0: $real] :
      ( ( 0.0 = 'fun_app$a'('power$'(X0),'nat$'(2)) )
      | ( 0.0 != X0 ) ),
    inference(cnf_transformation,[],[f71]) ).

tff(f71,axiom,
    ! [X0: $real] :
      ( ( 0.0 = X0 )
    <=> ( 0.0 = 'fun_app$a'('power$'(X0),'nat$'(2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom69) ).

tff(f2853,plain,
    ~ spl13_1,
    inference(avatar_split_clause,[],[f2618,f2768]) ).

tff(f2768,plain,
    ( spl13_1
  <=> $less(0,'fun_app$e'('power$b'(0),'nat$'(2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

tff(f2618,plain,
    ~ $less(0,'fun_app$e'('power$b'(0),'nat$'(2))),
    inference(equality_resolution,[],[f1584]) ).

tff(f1584,plain,
    ! [X0: $int] :
      ( ~ $less(0,'fun_app$e'('power$b'(X0),'nat$'(2)))
      | ( 0 != X0 ) ),
    inference(cnf_transformation,[],[f77]) ).

tff(f77,axiom,
    ! [X0: $int] :
      ( ( 0 != X0 )
    <=> $less(0,'fun_app$e'('power$b'(X0),'nat$'(2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom75) ).

tff(f2852,plain,
    spl13_15,
    inference(avatar_split_clause,[],[f1760,f2850]) ).

tff(f1760,plain,
    0 = 'fun_app$f'('divide$a'(1),2),
    inference(cnf_transformation,[],[f192]) ).

tff(f192,axiom,
    0 = 'fun_app$f'('divide$a'(1),2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom190) ).

tff(f2847,plain,
    spl13_14,
    inference(avatar_split_clause,[],[f2843,f2845]) ).

tff(f2845,plain,
    ( spl13_14
  <=> ( 'zero$' = 'fun_app$d'('divide$b'('zero$'),'zero$') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).

tff(f2843,plain,
    'zero$' = 'fun_app$d'('divide$b'('zero$'),'zero$'),
    inference(forward_demodulation,[],[f2842,f2686]) ).

tff(f2686,plain,
    ! [X0: 'Nat$'] : ( 'zero$' = 'fun_app$d'('times$b'('zero$'),X0) ),
    inference(equality_resolution,[],[f2109]) ).

tff(f2109,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( 'zero$' != X1 )
      | ( 'zero$' = 'fun_app$d'('times$b'(X1),X0) ) ),
    inference(cnf_transformation,[],[f1282]) ).

tff(f1282,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( 'zero$' = 'fun_app$d'('times$b'(X1),X0) )
      | ( ( 'zero$' != X0 )
        & ( 'zero$' != X1 ) ) ),
    inference(ennf_transformation,[],[f983]) ).

tff(f983,plain,
    ! [X1: 'Nat$',X0: 'Nat$'] :
      ( ( 'zero$' != 'fun_app$d'('times$b'(X1),X0) )
     => ( ( 'zero$' != X0 )
        & ( 'zero$' != X1 ) ) ),
    inference(rectify,[],[f624]) ).

tff(f624,axiom,
    ! [X1: 'Nat$',X0: 'Nat$'] :
      ( ( 'zero$' != 'fun_app$d'('times$b'(X0),X1) )
     => ( ( 'zero$' != X0 )
        & ( 'zero$' != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom622) ).

tff(f2842,plain,
    ! [X0: 'Nat$'] : ( 'zero$' = 'fun_app$d'('divide$b'('fun_app$d'('times$b'('zero$'),X0)),'zero$') ),
    inference(forward_demodulation,[],[f2649,f2686]) ).

tff(f2649,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] : ( 'zero$' = 'fun_app$d'('divide$b'('fun_app$d'('times$b'('zero$'),X0)),'fun_app$d'('times$b'('zero$'),X1)) ),
    inference(equality_resolution,[],[f1929]) ).

tff(f1929,plain,
    ! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat$'] :
      ( ( 'zero$' = 'fun_app$d'('divide$b'('fun_app$d'('times$b'(X2),X0)),'fun_app$d'('times$b'(X2),X1)) )
      | ( 'zero$' != X2 ) ),
    inference(cnf_transformation,[],[f1125]) ).

tff(f1125,plain,
    ! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat$'] :
      ( ( ( 'zero$' != X2 )
        | ( 'zero$' = 'fun_app$d'('divide$b'('fun_app$d'('times$b'(X2),X0)),'fun_app$d'('times$b'(X2),X1)) ) )
      & ( ( 'zero$' = X2 )
        | ( 'fun_app$d'('divide$b'(X0),X1) = 'fun_app$d'('divide$b'('fun_app$d'('times$b'(X2),X0)),'fun_app$d'('times$b'(X2),X1)) ) ) ),
    inference(ennf_transformation,[],[f887]) ).

tff(f887,plain,
    ! [X0: 'Nat$',X1: 'Nat$',X2: 'Nat$'] :
      ( ( ( 'zero$' != X2 )
       => ( 'fun_app$d'('divide$b'(X0),X1) = 'fun_app$d'('divide$b'('fun_app$d'('times$b'(X2),X0)),'fun_app$d'('times$b'(X2),X1)) ) )
      & ( ( 'zero$' = X2 )
       => ( 'zero$' = 'fun_app$d'('divide$b'('fun_app$d'('times$b'(X2),X0)),'fun_app$d'('times$b'(X2),X1)) ) ) ),
    inference(rectify,[],[f232]) ).

tff(f232,axiom,
    ! [X1: 'Nat$',X2: 'Nat$',X0: 'Nat$'] :
      ( ( ( 'zero$' = X0 )
       => ( 'zero$' = 'fun_app$d'('divide$b'('fun_app$d'('times$b'(X0),X1)),'fun_app$d'('times$b'(X0),X2)) ) )
      & ( ( 'zero$' != X0 )
       => ( 'fun_app$d'('divide$b'('fun_app$d'('times$b'(X0),X1)),'fun_app$d'('times$b'(X0),X2)) = 'fun_app$d'('divide$b'(X1),X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom230) ).

tff(f2841,plain,
    spl13_13,
    inference(avatar_split_clause,[],[f1631,f2839]) ).

tff(f2839,plain,
    ( spl13_13
  <=> ( 'one$b' = 'fun_app$d'('power$a'('one$b'),'nat$'(2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).

tff(f1631,plain,
    'one$b' = 'fun_app$d'('power$a'('one$b'),'nat$'(2)),
    inference(cnf_transformation,[],[f111]) ).

tff(f111,axiom,
    'one$b' = 'fun_app$d'('power$a'('one$b'),'nat$'(2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom109) ).

tff(f2837,plain,
    spl13_12,
    inference(avatar_split_clause,[],[f2728,f2835]) ).

tff(f2728,plain,
    0 = 'fun_app$e'('power$b'(0),'nat$'(2)),
    inference(equality_resolution,[],[f2426]) ).

tff(f2426,plain,
    ! [X0: $int] :
      ( ( 0 != X0 )
      | ( 0 = 'fun_app$e'('power$b'(X0),'nat$'(2)) ) ),
    inference(cnf_transformation,[],[f73]) ).

tff(f73,axiom,
    ! [X0: $int] :
      ( ( 0 = 'fun_app$e'('power$b'(X0),'nat$'(2)) )
    <=> ( 0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom71) ).

tff(f2827,plain,
    spl13_11,
    inference(avatar_split_clause,[],[f2006,f2825]) ).

tff(f2825,plain,
    ( spl13_11
  <=> ( 1.0 = 'fun_app$a'('power$'(1.0),'nat$'(2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).

tff(f2006,plain,
    1.0 = 'fun_app$a'('power$'(1.0),'nat$'(2)),
    inference(cnf_transformation,[],[f110]) ).

tff(f110,axiom,
    1.0 = 'fun_app$a'('power$'(1.0),'nat$'(2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom108) ).

tff(f2821,plain,
    spl13_10,
    inference(avatar_split_clause,[],[f2547,f2819]) ).

tff(f2547,plain,
    1.0 = 'norm$'(1.0),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,axiom,
    1.0 = 'norm$'(1.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom16) ).

tff(f2817,plain,
    spl13_9,
    inference(avatar_split_clause,[],[f2743,f2815]) ).

tff(f2743,plain,
    0.0 = 'norm$'(0.0),
    inference(equality_resolution,[],[f2534]) ).

tff(f2534,plain,
    ! [X0: $real] :
      ( ( 0.0 = 'norm$'(X0) )
      | ( 0.0 != X0 ) ),
    inference(cnf_transformation,[],[f60]) ).

tff(f60,axiom,
    ! [X0: $real] :
      ( ( 0.0 = X0 )
    <=> ( 0.0 = 'norm$'(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom58) ).

tff(f2813,plain,
    ~ spl13_8,
    inference(avatar_split_clause,[],[f1983,f2811]) ).

tff(f1983,plain,
    ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),
    inference(cnf_transformation,[],[f1033]) ).

tff(f1033,plain,
    ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),
    inference(flattening,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ $less('times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $less('times$'('fun_app$'('divide$'(1.0),2.0),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),'norm$'('fun_app$a'('power$'('inverse$'('c$')),'n$'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture0) ).

tff(f2808,plain,
    spl13_6,
    inference(avatar_split_clause,[],[f2480,f2796]) ).

tff(f2796,plain,
    ( spl13_6
  <=> ( 0.0 = 'norm$a'('zero$a') ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).

tff(f2480,plain,
    0.0 = 'norm$a'('zero$a'),
    inference(cnf_transformation,[],[f63]) ).

tff(f63,axiom,
    0.0 = 'norm$a'('zero$a'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom61) ).

tff(f2807,plain,
    spl13_7,
    inference(avatar_split_clause,[],[f1951,f2805]) ).

tff(f1951,plain,
    0.0 = 'fun_app$a'('power$'(0.0),'nat$'(2)),
    inference(cnf_transformation,[],[f99]) ).

tff(f99,axiom,
    0.0 = 'fun_app$a'('power$'(0.0),'nat$'(2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom97) ).

tff(f2798,plain,
    spl13_6,
    inference(avatar_split_clause,[],[f2696,f2796]) ).

tff(f2696,plain,
    0.0 = 'norm$a'('zero$a'),
    inference(equality_resolution,[],[f2230]) ).

tff(f2230,plain,
    ! [X0: 'A$'] :
      ( ( 0.0 = 'norm$a'(X0) )
      | ( 'zero$a' != X0 ) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f61,axiom,
    ! [X0: 'A$'] :
      ( ( 'zero$a' = X0 )
    <=> ( 0.0 = 'norm$a'(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom59) ).

tff(f2793,plain,
    spl13_5,
    inference(avatar_split_clause,[],[f1887,f2791]) ).

tff(f1887,plain,
    $less('inverse$'('c$a'),'u$'),
    inference(cnf_transformation,[],[f27]) ).

tff(f27,axiom,
    $less('inverse$'('c$a'),'u$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom25) ).

tff(f2784,plain,
    spl13_4,
    inference(avatar_split_clause,[],[f2740,f2782]) ).

tff(f2782,plain,
    ( spl13_4
  <=> ( 0.0 = 'fun_app$'('divide$'(1.0),0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

tff(f2740,plain,
    0.0 = 'fun_app$'('divide$'(1.0),0.0),
    inference(equality_resolution,[],[f2518]) ).

tff(f2518,plain,
    ! [X0: $real] :
      ( ( 0.0 != X0 )
      | ( 0.0 = 'fun_app$'('divide$'(1.0),X0) ) ),
    inference(cnf_transformation,[],[f241]) ).

tff(f241,axiom,
    ! [X0: $real] :
      ( ( 0.0 = 'fun_app$'('divide$'(1.0),X0) )
    <=> ( 0.0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom239) ).

tff(f2778,plain,
    spl13_3,
    inference(avatar_split_clause,[],[f2672,f2776]) ).

tff(f2672,plain,
    1.0 = 'inverse$'(1.0),
    inference(equality_resolution,[],[f2067]) ).

tff(f2067,plain,
    ! [X0: $real] :
      ( ( 1.0 = 'inverse$'(X0) )
      | ( 1.0 != X0 ) ),
    inference(cnf_transformation,[],[f219]) ).

tff(f219,axiom,
    ! [X0: $real] :
      ( ( 1.0 = X0 )
    <=> ( 1.0 = 'inverse$'(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom217) ).

tff(f2774,plain,
    spl13_2,
    inference(avatar_split_clause,[],[f2355,f2772]) ).

tff(f2772,plain,
    ( spl13_2
  <=> $less('c$','c$a') ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

tff(f2355,plain,
    $less('c$','c$a'),
    inference(cnf_transformation,[],[f6]) ).

tff(f6,axiom,
    $less('c$','c$a'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom4) ).

tff(f2770,plain,
    ~ spl13_1,
    inference(avatar_split_clause,[],[f2699,f2768]) ).

tff(f2699,plain,
    ~ $less(0,'fun_app$e'('power$b'(0),'nat$'(2))),
    inference(equality_resolution,[],[f2261]) ).

tff(f2261,plain,
    ! [X0: $int] :
      ( ( 0 != X0 )
      | ~ $less(0,'fun_app$e'('power$b'(X0),'nat$'(2))) ),
    inference(cnf_transformation,[],[f794]) ).

tff(f794,plain,
    ! [X0: $int] :
      ( ~ $less(0,'fun_app$e'('power$b'(X0),'nat$'(2)))
    <=> ( 0 = X0 ) ),
    inference(theory_normalization,[],[f383]) ).

tff(f383,axiom,
    ! [X0: $int] :
      ( $lesseq('fun_app$e'('power$b'(X0),'nat$'(2)),0)
    <=> ( 0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom381) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 00:21:20 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.53  % (10893)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (10885)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53  % (10885)Instruction limit reached!
% 0.21/0.53  % (10885)------------------------------
% 0.21/0.53  % (10885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (10885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (10885)Termination reason: Unknown
% 0.21/0.54  % (10885)Termination phase: shuffling
% 0.21/0.54  
% 0.21/0.54  % (10885)Memory used [KB]: 1407
% 0.21/0.54  % (10885)Time elapsed: 0.004 s
% 0.21/0.54  % (10885)Instructions burned: 2 (million)
% 0.21/0.54  % (10885)------------------------------
% 0.21/0.54  % (10885)------------------------------
% 0.21/0.54  % (10870)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.54  % (10876)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.21/0.55  % (10896)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.56  % (10880)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.21/0.56  % (10875)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 1.34/0.56  % (10887)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.34/0.57  % (10879)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.34/0.57  % (10879)Instruction limit reached!
% 1.34/0.57  % (10879)------------------------------
% 1.34/0.57  % (10879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.57  % (10879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.57  % (10879)Termination reason: Unknown
% 1.34/0.57  % (10879)Termination phase: shuffling
% 1.34/0.57  
% 1.34/0.57  % (10879)Memory used [KB]: 1407
% 1.34/0.57  % (10879)Time elapsed: 0.002 s
% 1.34/0.57  % (10879)Instructions burned: 2 (million)
% 1.34/0.57  % (10879)------------------------------
% 1.34/0.57  % (10879)------------------------------
% 1.34/0.58  % (10892)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.46/0.58  % (10895)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.46/0.59  % (10870)Instruction limit reached!
% 1.46/0.59  % (10870)------------------------------
% 1.46/0.59  % (10870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.59  % (10870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.59  % (10870)Termination reason: Unknown
% 1.46/0.59  % (10870)Termination phase: Preprocessing 3
% 1.46/0.59  
% 1.46/0.59  % (10870)Memory used [KB]: 2046
% 1.46/0.59  % (10870)Time elapsed: 0.020 s
% 1.46/0.59  % (10870)Instructions burned: 35 (million)
% 1.46/0.59  % (10870)------------------------------
% 1.46/0.59  % (10870)------------------------------
% 1.46/0.59  % (10871)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.46/0.59  % (10876)Instruction limit reached!
% 1.46/0.59  % (10876)------------------------------
% 1.46/0.59  % (10876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.59  % (10876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.59  % (10876)Termination reason: Unknown
% 1.46/0.59  % (10876)Termination phase: Preprocessing 3
% 1.46/0.59  
% 1.46/0.59  % (10876)Memory used [KB]: 2174
% 1.46/0.59  % (10876)Time elapsed: 0.025 s
% 1.46/0.59  % (10876)Instructions burned: 37 (million)
% 1.46/0.59  % (10876)------------------------------
% 1.46/0.59  % (10876)------------------------------
% 1.46/0.59  % (10871)Instruction limit reached!
% 1.46/0.59  % (10871)------------------------------
% 1.46/0.59  % (10871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.60  % (10888)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.46/0.60  % (10884)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.46/0.60  % (10893)Instruction limit reached!
% 1.46/0.60  % (10893)------------------------------
% 1.46/0.60  % (10893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.60  % (10893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.60  % (10893)Termination reason: Unknown
% 1.46/0.60  % (10893)Termination phase: Property scanning
% 1.46/0.60  
% 1.46/0.60  % (10893)Memory used [KB]: 2686
% 1.46/0.60  % (10893)Time elapsed: 0.036 s
% 1.46/0.60  % (10893)Instructions burned: 50 (million)
% 1.46/0.60  % (10893)------------------------------
% 1.46/0.60  % (10893)------------------------------
% 1.46/0.60  % (10871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.60  % (10871)Termination reason: Unknown
% 1.46/0.60  % (10871)Termination phase: Property scanning
% 1.46/0.60  
% 1.46/0.60  % (10871)Memory used [KB]: 1535
% 1.46/0.60  % (10871)Time elapsed: 0.008 s
% 1.46/0.60  % (10871)Instructions burned: 9 (million)
% 1.46/0.60  % (10871)------------------------------
% 1.46/0.60  % (10871)------------------------------
% 1.46/0.61  % (10896)Instruction limit reached!
% 1.46/0.61  % (10896)------------------------------
% 1.46/0.61  % (10896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61  % (10896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.61  % (10896)Termination reason: Unknown
% 1.46/0.61  % (10896)Termination phase: Property scanning
% 1.46/0.61  
% 1.46/0.61  % (10896)Memory used [KB]: 2558
% 1.46/0.61  % (10896)Time elapsed: 0.026 s
% 1.46/0.61  % (10896)Instructions burned: 43 (million)
% 1.46/0.61  % (10896)------------------------------
% 1.46/0.61  % (10896)------------------------------
% 1.46/0.61  % (10881)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.46/0.61  % (10881)Instruction limit reached!
% 1.46/0.61  % (10881)------------------------------
% 1.46/0.61  % (10881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61  % (10881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.61  % (10881)Termination reason: Unknown
% 1.46/0.61  % (10881)Termination phase: Property scanning
% 1.46/0.61  
% 1.46/0.61  % (10881)Memory used [KB]: 1535
% 1.46/0.61  % (10881)Time elapsed: 0.004 s
% 1.46/0.61  % (10881)Instructions burned: 5 (million)
% 1.46/0.61  % (10888)Instruction limit reached!
% 1.46/0.61  % (10888)------------------------------
% 1.46/0.61  % (10888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61  % (10888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.61  % (10888)Termination reason: Unknown
% 1.46/0.62  % (10888)Termination phase: shuffling
% 1.46/0.62  
% 1.46/0.62  % (10888)Memory used [KB]: 1535
% 1.46/0.62  % (10888)Time elapsed: 0.012 s
% 1.46/0.62  % (10888)Instructions burned: 15 (million)
% 1.46/0.62  % (10888)------------------------------
% 1.46/0.62  % (10888)------------------------------
% 1.46/0.62  % (10880)Instruction limit reached!
% 1.46/0.62  % (10880)------------------------------
% 1.46/0.62  % (10880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.62  % (10880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.62  % (10880)Termination reason: Unknown
% 1.46/0.62  % (10880)Termination phase: Preprocessing 3
% 1.46/0.62  
% 1.46/0.62  % (10880)Memory used [KB]: 2046
% 1.46/0.62  % (10880)Time elapsed: 0.028 s
% 1.46/0.62  % (10880)Instructions burned: 35 (million)
% 1.46/0.62  % (10880)------------------------------
% 1.46/0.62  % (10880)------------------------------
% 1.46/0.62  % (10869)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 1.46/0.62  % (10875)Instruction limit reached!
% 1.46/0.62  % (10875)------------------------------
% 1.46/0.62  % (10875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.62  % (10875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.62  % (10875)Termination reason: Unknown
% 1.46/0.62  % (10875)Termination phase: Preprocessing 3
% 1.46/0.62  
% 1.46/0.62  % (10875)Memory used [KB]: 1791
% 1.46/0.62  % (10875)Time elapsed: 0.024 s
% 1.46/0.62  % (10875)Instructions burned: 33 (million)
% 1.46/0.62  % (10875)------------------------------
% 1.46/0.62  % (10875)------------------------------
% 1.46/0.62  % (10873)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.46/0.62  % (10899)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 1.82/0.63  % (10874)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.82/0.63  % (10883)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.82/0.63  % (10872)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.82/0.63  % (10872)Instruction limit reached!
% 1.82/0.63  % (10872)------------------------------
% 1.82/0.63  % (10872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.63  % (10872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.63  % (10872)Termination reason: Unknown
% 1.82/0.63  % (10872)Termination phase: shuffling
% 1.82/0.63  
% 1.82/0.63  % (10872)Memory used [KB]: 1407
% 1.82/0.63  % (10872)Time elapsed: 0.002 s
% 1.82/0.63  % (10872)Instructions burned: 2 (million)
% 1.82/0.63  % (10872)------------------------------
% 1.82/0.63  % (10872)------------------------------
% 1.82/0.63  % (10881)------------------------------
% 1.82/0.63  % (10881)------------------------------
% 1.82/0.63  % (10891)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.82/0.64  % (10897)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.82/0.64  % (10898)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.82/0.64  % (10882)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.82/0.64  % (10878)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 1.95/0.64  % (10890)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.95/0.65  % (10889)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.95/0.65  % (10889)Instruction limit reached!
% 1.95/0.65  % (10889)------------------------------
% 1.95/0.65  % (10889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.65  % (10889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.65  % (10889)Termination reason: Unknown
% 1.95/0.65  % (10889)Termination phase: shuffling
% 1.95/0.65  
% 1.95/0.65  % (10889)Memory used [KB]: 1407
% 1.95/0.65  % (10889)Time elapsed: 0.002 s
% 1.95/0.65  % (10889)Instructions burned: 2 (million)
% 1.95/0.65  % (10889)------------------------------
% 1.95/0.65  % (10889)------------------------------
% 1.95/0.65  % (10892)Instruction limit reached!
% 1.95/0.65  % (10892)------------------------------
% 1.95/0.65  % (10892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.65  % (10887)Instruction limit reached!
% 1.95/0.65  % (10887)------------------------------
% 1.95/0.65  % (10887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.65  % (10887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.65  % (10887)Termination reason: Unknown
% 1.95/0.65  % (10887)Termination phase: Property scanning
% 1.95/0.65  
% 1.95/0.65  % (10887)Memory used [KB]: 2686
% 1.95/0.65  % (10887)Time elapsed: 0.037 s
% 1.95/0.65  % (10887)Instructions burned: 50 (million)
% 1.95/0.65  % (10887)------------------------------
% 1.95/0.65  % (10887)------------------------------
% 1.95/0.65  % (10886)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.95/0.65  % (10891)Instruction limit reached!
% 1.95/0.65  % (10891)------------------------------
% 1.95/0.65  % (10891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.65  % (10874)Instruction limit reached!
% 1.95/0.65  % (10874)------------------------------
% 1.95/0.65  % (10874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.65  % (10874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.65  % (10874)Termination reason: Unknown
% 1.95/0.65  % (10874)Termination phase: Property scanning
% 1.95/0.65  
% 1.95/0.65  % (10874)Memory used [KB]: 1535
% 1.95/0.65  % (10874)Time elapsed: 0.008 s
% 1.95/0.65  % (10874)Instructions burned: 16 (million)
% 1.95/0.65  % (10874)------------------------------
% 1.95/0.65  % (10874)------------------------------
% 1.95/0.65  % (10886)Instruction limit reached!
% 1.95/0.65  % (10886)------------------------------
% 1.95/0.65  % (10886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.65  % (10886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.65  % (10886)Termination reason: Unknown
% 1.95/0.65  % (10886)Termination phase: shuffling
% 1.95/0.65  
% 1.95/0.65  % (10886)Memory used [KB]: 1407
% 1.95/0.65  % (10886)Time elapsed: 0.004 s
% 1.95/0.65  % (10886)Instructions burned: 2 (million)
% 1.95/0.65  % (10886)------------------------------
% 1.95/0.65  % (10886)------------------------------
% 1.95/0.66  % (10882)Instruction limit reached!
% 1.95/0.66  % (10882)------------------------------
% 1.95/0.66  % (10882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.66  % (10882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.66  % (10882)Termination reason: Unknown
% 1.95/0.66  % (10882)Termination phase: shuffling
% 1.95/0.66  
% 1.95/0.66  % (10882)Memory used [KB]: 1407
% 1.95/0.66  % (10882)Time elapsed: 0.003 s
% 1.95/0.66  % (10882)Instructions burned: 2 (million)
% 1.95/0.66  % (10882)------------------------------
% 1.95/0.66  % (10882)------------------------------
% 1.95/0.66  % (10884)Instruction limit reached!
% 1.95/0.66  % (10884)------------------------------
% 1.95/0.66  % (10884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.66  % (10884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.66  % (10884)Termination reason: Unknown
% 1.95/0.66  % (10884)Termination phase: Property scanning
% 1.95/0.66  
% 1.95/0.66  % (10884)Memory used [KB]: 2558
% 1.95/0.66  % (10884)Time elapsed: 0.033 s
% 1.95/0.66  % (10884)Instructions burned: 51 (million)
% 1.95/0.66  % (10884)------------------------------
% 1.95/0.66  % (10884)------------------------------
% 1.95/0.66  % (10894)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 1.95/0.66  % (10890)Instruction limit reached!
% 1.95/0.66  % (10890)------------------------------
% 1.95/0.66  % (10890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.66  % (10890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.66  % (10890)Termination reason: Unknown
% 1.95/0.66  % (10890)Termination phase: Property scanning
% 1.95/0.66  
% 1.95/0.66  % (10890)Memory used [KB]: 1535
% 1.95/0.66  % (10890)Time elapsed: 0.008 s
% 1.95/0.66  % (10890)Instructions burned: 18 (million)
% 1.95/0.66  % (10890)------------------------------
% 1.95/0.66  % (10890)------------------------------
% 1.95/0.66  % (10891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.66  % (10891)Termination reason: Unknown
% 1.95/0.66  % (10891)Termination phase: shuffling
% 1.95/0.66  
% 1.95/0.66  % (10891)Memory used [KB]: 1918
% 1.95/0.66  % (10891)Time elapsed: 0.017 s
% 1.95/0.66  % (10891)Instructions burned: 21 (million)
% 1.95/0.66  % (10891)------------------------------
% 1.95/0.66  % (10891)------------------------------
% 1.95/0.66  % (10883)Instruction limit reached!
% 1.95/0.66  % (10883)------------------------------
% 1.95/0.66  % (10883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.67  % (10895)Instruction limit reached!
% 1.95/0.67  % (10895)------------------------------
% 1.95/0.67  % (10895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.67  % (10895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.67  % (10895)Termination reason: Unknown
% 1.95/0.67  % (10895)Termination phase: Preprocessing 3
% 1.95/0.67  
% 1.95/0.67  % (10895)Memory used [KB]: 2302
% 1.95/0.67  % (10895)Time elapsed: 0.030 s
% 1.95/0.67  % (10895)Instructions burned: 42 (million)
% 1.95/0.67  % (10895)------------------------------
% 1.95/0.67  % (10895)------------------------------
% 1.95/0.67  % (10892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.67  % (10892)Termination reason: Unknown
% 1.95/0.67  % (10892)Termination phase: Property scanning
% 1.95/0.67  
% 1.95/0.67  % (10892)Memory used [KB]: 2302
% 1.95/0.67  % (10892)Time elapsed: 0.031 s
% 1.95/0.67  % (10892)Instructions burned: 46 (million)
% 1.95/0.67  % (10892)------------------------------
% 1.95/0.67  % (10892)------------------------------
% 1.95/0.67  % (10898)Instruction limit reached!
% 1.95/0.67  % (10898)------------------------------
% 1.95/0.67  % (10898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.67  % (10898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.67  % (10898)Termination reason: Unknown
% 1.95/0.67  % (10898)Termination phase: Property scanning
% 1.95/0.67  
% 1.95/0.67  % (10898)Memory used [KB]: 1535
% 1.95/0.67  % (10898)Time elapsed: 0.011 s
% 1.95/0.67  % (10898)Instructions burned: 24 (million)
% 1.95/0.67  % (10898)------------------------------
% 1.95/0.67  % (10898)------------------------------
% 1.95/0.67  % (10883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.67  % (10883)Termination reason: Unknown
% 1.95/0.67  % (10883)Termination phase: Preprocessing 2
% 1.95/0.67  
% 1.95/0.67  % (10883)Memory used [KB]: 1918
% 1.95/0.67  % (10883)Time elapsed: 0.017 s
% 1.95/0.67  % (10883)Instructions burned: 21 (million)
% 1.95/0.67  % (10883)------------------------------
% 1.95/0.67  % (10883)------------------------------
% 1.95/0.68  % (10910)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.95/0.68  % (10873)Instruction limit reached!
% 1.95/0.68  % (10873)------------------------------
% 1.95/0.68  % (10873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.68  % (10873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.68  % (10873)Termination reason: Unknown
% 1.95/0.68  % (10873)Termination phase: Naming
% 1.95/0.68  
% 1.95/0.68  % (10873)Memory used [KB]: 2046
% 1.95/0.68  % (10873)Time elapsed: 0.017 s
% 1.95/0.68  % (10873)Instructions burned: 37 (million)
% 1.95/0.68  % (10873)------------------------------
% 1.95/0.68  % (10873)------------------------------
% 1.95/0.68  % (10897)Instruction limit reached!
% 1.95/0.68  % (10897)------------------------------
% 1.95/0.68  % (10897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.68  % (10897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.68  % (10897)Termination reason: Unknown
% 1.95/0.68  % (10897)Termination phase: Naming
% 1.95/0.68  
% 1.95/0.68  % (10897)Memory used [KB]: 1918
% 1.95/0.68  % (10897)Time elapsed: 0.011 s
% 1.95/0.68  % (10897)Instructions burned: 22 (million)
% 1.95/0.68  % (10897)------------------------------
% 1.95/0.68  % (10897)------------------------------
% 1.95/0.69  % (10878)Instruction limit reached!
% 1.95/0.69  % (10878)------------------------------
% 1.95/0.69  % (10878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.69  % (10878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.69  % (10878)Termination reason: Unknown
% 1.95/0.69  % (10878)Termination phase: SInE selection
% 1.95/0.69  
% 1.95/0.69  % (10878)Memory used [KB]: 1535
% 1.95/0.69  % (10878)Time elapsed: 0.018 s
% 1.95/0.69  % (10878)Instructions burned: 26 (million)
% 1.95/0.69  % (10878)------------------------------
% 1.95/0.69  % (10878)------------------------------
% 1.95/0.71  % (10899)Instruction limit reached!
% 1.95/0.71  % (10899)------------------------------
% 1.95/0.71  % (10899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.71  % (10899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.71  % (10899)Termination reason: Unknown
% 1.95/0.71  % (10899)Termination phase: Preprocessing 3
% 1.95/0.71  
% 1.95/0.71  % (10899)Memory used [KB]: 2302
% 1.95/0.71  % (10899)Time elapsed: 0.020 s
% 1.95/0.71  % (10899)Instructions burned: 42 (million)
% 1.95/0.71  % (10899)------------------------------
% 1.95/0.71  % (10899)------------------------------
% 2.23/0.72  % (10910)Instruction limit reached!
% 2.23/0.72  % (10910)------------------------------
% 2.23/0.72  % (10910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.72  % (10910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.72  % (10910)Termination reason: Unknown
% 2.23/0.72  % (10910)Termination phase: SInE selection
% 2.23/0.72  
% 2.23/0.72  % (10910)Memory used [KB]: 1535
% 2.23/0.72  % (10910)Time elapsed: 0.009 s
% 2.23/0.72  % (10910)Instructions burned: 16 (million)
% 2.23/0.72  % (10910)------------------------------
% 2.23/0.72  % (10910)------------------------------
% 2.23/0.74  % (10922)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.23/0.74  % (10923)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 2.23/0.75  % (10914)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.23/0.75  % (10917)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/148Mi)
% 2.23/0.77  % (10894)Instruction limit reached!
% 2.23/0.77  % (10894)------------------------------
% 2.23/0.77  % (10894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.77  % (10894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.77  % (10894)Termination reason: Unknown
% 2.23/0.77  % (10894)Termination phase: Property scanning
% 2.23/0.77  
% 2.23/0.77  % (10894)Memory used [KB]: 2558
% 2.23/0.77  % (10894)Time elapsed: 0.032 s
% 2.23/0.77  % (10894)Instructions burned: 47 (million)
% 2.23/0.77  % (10894)------------------------------
% 2.23/0.77  % (10894)------------------------------
% 2.23/0.77  % (10918)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 2.27/0.77  % (10920)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 2.27/0.78  % (10926)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.27/0.79  % (10919)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/76Mi)
% 2.27/0.79  % (10927)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.27/0.80  % (10928)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.27/0.80  % (10916)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 2.27/0.81  % (10931)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.27/0.81  % (10930)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.27/0.82  % (10929)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.27/0.82  % (10935)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.27/0.83  % (10933)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.27/0.83  % (10934)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.27/0.83  % (10916)Instruction limit reached!
% 2.27/0.83  % (10916)------------------------------
% 2.27/0.83  % (10916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.83  % (10916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.83  % (10916)Termination reason: Unknown
% 2.27/0.83  % (10916)Termination phase: Preprocessing 3
% 2.27/0.83  
% 2.27/0.83  % (10916)Memory used [KB]: 2046
% 2.27/0.83  % (10916)Time elapsed: 0.018 s
% 2.27/0.83  % (10916)Instructions burned: 25 (million)
% 2.27/0.83  % (10916)------------------------------
% 2.27/0.83  % (10916)------------------------------
% 2.27/0.83  % (10938)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.27/0.83  % (10942)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/374Mi)
% 2.27/0.84  % (10940)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.27/0.84  % (10939)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.27/0.84  % (10937)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.27/0.84  % (10914)Instruction limit reached!
% 2.27/0.84  % (10914)------------------------------
% 2.27/0.84  % (10914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.84  % (10914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.84  % (10914)Termination reason: Unknown
% 2.27/0.84  % (10914)Termination phase: Property scanning
% 2.27/0.84  
% 2.27/0.84  % (10914)Memory used [KB]: 2430
% 2.27/0.84  % (10914)Time elapsed: 0.034 s
% 2.27/0.84  % (10914)Instructions burned: 47 (million)
% 2.27/0.84  % (10914)------------------------------
% 2.27/0.84  % (10914)------------------------------
% 2.27/0.84  % (10936)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.44/0.85  % (10922)Instruction limit reached!
% 2.44/0.85  % (10922)------------------------------
% 2.44/0.85  % (10922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.85  % (10922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.85  % (10922)Termination reason: Unknown
% 2.44/0.85  % (10922)Termination phase: Saturation
% 2.44/0.85  
% 2.44/0.85  % (10922)Memory used [KB]: 2686
% 2.44/0.85  % (10922)Time elapsed: 0.109 s
% 2.44/0.85  % (10922)Instructions burned: 96 (million)
% 2.44/0.85  % (10922)------------------------------
% 2.44/0.85  % (10922)------------------------------
% 2.44/0.85  % (10941)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/213Mi)
% 2.44/0.86  % (10923)Instruction limit reached!
% 2.44/0.86  % (10923)------------------------------
% 2.44/0.86  % (10923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.86  % (10923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.86  % (10923)Termination reason: Unknown
% 2.44/0.86  % (10923)Termination phase: Saturation
% 2.44/0.86  
% 2.44/0.86  % (10923)Memory used [KB]: 7419
% 2.44/0.86  % (10923)Time elapsed: 0.113 s
% 2.44/0.86  % (10923)Instructions burned: 108 (million)
% 2.44/0.86  % (10923)------------------------------
% 2.44/0.86  % (10923)------------------------------
% 2.44/0.87  % (10920)Instruction limit reached!
% 2.44/0.87  % (10920)------------------------------
% 2.44/0.87  % (10920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.87  % (10920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.87  % (10920)Termination reason: Unknown
% 2.44/0.87  % (10920)Termination phase: Function definition elimination
% 2.44/0.87  
% 2.44/0.87  % (10920)Memory used [KB]: 2686
% 2.44/0.87  % (10920)Time elapsed: 0.025 s
% 2.44/0.87  % (10920)Instructions burned: 58 (million)
% 2.44/0.87  % (10920)------------------------------
% 2.44/0.87  % (10920)------------------------------
% 2.44/0.88  % (10947)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 2.74/0.89  % (10932)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.74/0.89  % (10919)Instruction limit reached!
% 2.74/0.89  % (10919)------------------------------
% 2.74/0.89  % (10919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.89  % (10919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.89  % (10919)Termination reason: Unknown
% 2.74/0.89  % (10919)Termination phase: Saturation
% 2.74/0.89  
% 2.74/0.89  % (10919)Memory used [KB]: 7291
% 2.74/0.89  % (10919)Time elapsed: 0.032 s
% 2.74/0.89  % (10919)Instructions burned: 79 (million)
% 2.74/0.89  % (10919)------------------------------
% 2.74/0.89  % (10919)------------------------------
% 2.74/0.90  % (10948)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/230Mi)
% 2.83/0.94  % (10944)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/500Mi)
% 2.83/0.94  % (10918)Instruction limit reached!
% 2.83/0.94  % (10918)------------------------------
% 2.83/0.94  % (10918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.94  % (10918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.94  % (10918)Termination reason: Unknown
% 2.83/0.94  % (10918)Termination phase: Saturation
% 2.83/0.94  
% 2.83/0.94  % (10918)Memory used [KB]: 7547
% 2.83/0.94  % (10918)Time elapsed: 0.045 s
% 2.83/0.94  % (10918)Instructions burned: 100 (million)
% 2.83/0.94  % (10918)------------------------------
% 2.83/0.94  % (10918)------------------------------
% 2.90/0.97  % (10935)Instruction limit reached!
% 2.90/0.97  % (10935)------------------------------
% 2.90/0.97  % (10935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.97  % (10935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.97  % (10935)Termination reason: Unknown
% 2.90/0.97  % (10935)Termination phase: shuffling
% 2.90/0.97  
% 2.90/0.97  % (10935)Memory used [KB]: 2814
% 2.90/0.97  % (10935)Time elapsed: 0.034 s
% 2.90/0.97  % (10935)Instructions burned: 81 (million)
% 2.90/0.97  % (10935)------------------------------
% 2.90/0.97  % (10935)------------------------------
% 2.90/0.97  % (10955)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1006Mi)
% 2.90/0.99  % (10956)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3721Mi)
% 2.90/1.01  % (10917)Instruction limit reached!
% 2.90/1.01  % (10917)------------------------------
% 2.90/1.01  % (10917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/1.01  % (10917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/1.01  % (10917)Termination reason: Unknown
% 2.90/1.01  % (10917)Termination phase: Saturation
% 2.90/1.01  
% 2.90/1.01  % (10917)Memory used [KB]: 8315
% 2.90/1.01  % (10917)Time elapsed: 0.324 s
% 2.90/1.01  % (10917)Instructions burned: 149 (million)
% 2.90/1.01  % (10917)------------------------------
% 2.90/1.01  % (10917)------------------------------
% 2.90/1.01  % (10953)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/382Mi)
% 2.90/1.01  % (10952)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/360Mi)
% 3.07/1.02  % (10954)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/256Mi)
% 3.07/1.04  % (10958)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/501Mi)
% 3.07/1.06  % (10960)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1705Mi)
% 3.07/1.06  % (10931)Instruction limit reached!
% 3.07/1.06  % (10931)------------------------------
% 3.07/1.06  % (10931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/1.06  % (10931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/1.06  % (10931)Termination reason: Unknown
% 3.07/1.06  % (10931)Termination phase: Saturation
% 3.07/1.06  
% 3.07/1.06  % (10931)Memory used [KB]: 3837
% 3.07/1.06  % (10931)Time elapsed: 0.071 s
% 3.07/1.06  % (10931)Instructions burned: 153 (million)
% 3.07/1.06  % (10931)------------------------------
% 3.07/1.06  % (10931)------------------------------
% 3.07/1.06  % (10936)Instruction limit reached!
% 3.07/1.06  % (10936)------------------------------
% 3.07/1.06  % (10936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/1.07  % (10936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/1.07  % (10936)Termination reason: Unknown
% 3.07/1.07  % (10936)Termination phase: Saturation
% 3.07/1.07  
% 3.07/1.07  % (10936)Memory used [KB]: 2942
% 3.07/1.07  % (10936)Time elapsed: 0.087 s
% 3.07/1.07  % (10936)Instructions burned: 147 (million)
% 3.07/1.07  % (10936)------------------------------
% 3.07/1.07  % (10936)------------------------------
% 5.40/1.10  % (10966)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1683Mi)
% 5.40/1.14  % (10964)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2416Mi)
% 5.40/1.14  % (10967)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/330Mi)
% 5.99/1.18  % (10928)Instruction limit reached!
% 5.99/1.18  % (10928)------------------------------
% 5.99/1.18  % (10928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.99/1.19  % (10928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.99/1.19  % (10928)Termination reason: Unknown
% 5.99/1.19  % (10928)Termination phase: Saturation
% 5.99/1.19  
% 5.99/1.19  % (10928)Memory used [KB]: 3198
% 5.99/1.19  % (10928)Time elapsed: 0.142 s
% 5.99/1.19  % (10928)Instructions burned: 223 (million)
% 5.99/1.19  % (10928)------------------------------
% 5.99/1.19  % (10928)------------------------------
% 6.24/1.22  % (10948)Instruction limit reached!
% 6.24/1.22  % (10948)------------------------------
% 6.24/1.22  % (10948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.24/1.22  % (10948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.24/1.22  % (10948)Termination reason: Unknown
% 6.24/1.22  % (10948)Termination phase: Saturation
% 6.24/1.22  
% 6.24/1.22  % (10948)Memory used [KB]: 3454
% 6.24/1.22  % (10948)Time elapsed: 0.466 s
% 6.24/1.22  % (10948)Instructions burned: 230 (million)
% 6.24/1.22  % (10948)------------------------------
% 6.24/1.22  % (10948)------------------------------
% 6.51/1.23  % (10932)Instruction limit reached!
% 6.51/1.23  % (10932)------------------------------
% 6.51/1.23  % (10932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.51/1.23  % (10932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.51/1.23  % (10932)Termination reason: Unknown
% 6.51/1.23  % (10932)Termination phase: Saturation
% 6.51/1.23  
% 6.51/1.23  % (10932)Memory used [KB]: 2942
% 6.51/1.23  % (10932)Time elapsed: 0.098 s
% 6.51/1.23  % (10932)Instructions burned: 161 (million)
% 6.51/1.23  % (10932)------------------------------
% 6.51/1.23  % (10932)------------------------------
% 6.51/1.23  % (10969)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/113Mi)
% 6.56/1.26  % (10970)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3217Mi)
% 6.56/1.27  % (10937)Instruction limit reached!
% 6.56/1.27  % (10937)------------------------------
% 6.56/1.27  % (10937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.56/1.27  % (10937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.56/1.27  % (10937)Termination reason: Unknown
% 6.56/1.27  % (10937)Termination phase: Saturation
% 6.56/1.27  
% 6.56/1.27  % (10937)Memory used [KB]: 9210
% 6.56/1.27  % (10937)Time elapsed: 0.554 s
% 6.56/1.27  % (10937)Instructions burned: 212 (million)
% 6.56/1.27  % (10937)------------------------------
% 6.56/1.27  % (10937)------------------------------
% 7.03/1.31  % (10941)Instruction limit reached!
% 7.03/1.31  % (10941)------------------------------
% 7.03/1.31  % (10941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.31  % (10941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.31  % (10941)Termination reason: Unknown
% 7.03/1.31  % (10941)Termination phase: Saturation
% 7.03/1.31  
% 7.03/1.31  % (10941)Memory used [KB]: 8827
% 7.03/1.31  % (10941)Time elapsed: 0.608 s
% 7.03/1.31  % (10941)Instructions burned: 213 (million)
% 7.03/1.31  % (10941)------------------------------
% 7.03/1.31  % (10941)------------------------------
% 7.03/1.33  % (10940)Instruction limit reached!
% 7.03/1.33  % (10940)------------------------------
% 7.03/1.33  % (10940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.33  % (10940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.33  % (10940)Termination reason: Unknown
% 7.03/1.33  % (10940)Termination phase: Saturation
% 7.03/1.33  
% 7.03/1.33  % (10940)Memory used [KB]: 3965
% 7.03/1.33  % (10940)Time elapsed: 0.546 s
% 7.03/1.33  % (10940)Instructions burned: 295 (million)
% 7.03/1.33  % (10940)------------------------------
% 7.03/1.33  % (10940)------------------------------
% 7.03/1.34  % (10938)Instruction limit reached!
% 7.03/1.34  % (10938)------------------------------
% 7.03/1.34  % (10938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.34  % (10938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.34  % (10938)Termination reason: Unknown
% 7.03/1.34  % (10938)Termination phase: Saturation
% 7.03/1.34  
% 7.03/1.34  % (10938)Memory used [KB]: 9083
% 7.03/1.34  % (10938)Time elapsed: 0.612 s
% 7.03/1.34  % (10938)Instructions burned: 274 (million)
% 7.03/1.34  % (10938)------------------------------
% 7.03/1.34  % (10938)------------------------------
% 7.03/1.37  % (10974)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/3528Mi)
% 7.48/1.41  % (10933)Instruction limit reached!
% 7.48/1.41  % (10933)------------------------------
% 7.48/1.41  % (10933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.48/1.41  % (10979)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/3780Mi)
% 7.48/1.41  % (10933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.48/1.41  % (10933)Termination reason: Unknown
% 7.48/1.41  % (10933)Termination phase: Saturation
% 7.48/1.41  
% 7.48/1.41  % (10933)Memory used [KB]: 4989
% 7.48/1.41  % (10933)Time elapsed: 0.710 s
% 7.48/1.41  % (10933)Instructions burned: 370 (million)
% 7.48/1.41  % (10933)------------------------------
% 7.48/1.41  % (10933)------------------------------
% 7.48/1.44  % (10969)Instruction limit reached!
% 7.48/1.44  % (10969)------------------------------
% 7.48/1.44  % (10969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.48/1.44  % (10969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.48/1.44  % (10969)Termination reason: Unknown
% 7.48/1.44  % (10969)Termination phase: Saturation
% 7.48/1.44  
% 7.48/1.44  % (10969)Memory used [KB]: 2814
% 7.48/1.44  % (10969)Time elapsed: 0.051 s
% 7.48/1.44  % (10969)Instructions burned: 114 (million)
% 7.48/1.44  % (10969)------------------------------
% 7.48/1.44  % (10969)------------------------------
% 7.48/1.45  % (10939)Instruction limit reached!
% 7.48/1.45  % (10939)------------------------------
% 7.48/1.45  % (10939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.48/1.45  % (10980)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/238Mi)
% 7.48/1.45  % (10939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.48/1.45  % (10939)Termination reason: Unknown
% 7.48/1.45  % (10939)Termination phase: Saturation
% 7.48/1.45  
% 7.48/1.45  % (10939)Memory used [KB]: 8443
% 7.48/1.45  % (10939)Time elapsed: 0.751 s
% 7.48/1.45  % (10939)Instructions burned: 330 (million)
% 7.48/1.45  % (10939)------------------------------
% 7.48/1.45  % (10939)------------------------------
% 7.48/1.45  % (10929)Instruction limit reached!
% 7.48/1.45  % (10929)------------------------------
% 7.48/1.45  % (10929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.48/1.45  % (10929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.48/1.45  % (10929)Termination reason: Unknown
% 7.48/1.45  % (10929)Termination phase: Saturation
% 7.48/1.45  
% 7.48/1.45  % (10929)Memory used [KB]: 3837
% 7.48/1.45  % (10929)Time elapsed: 0.762 s
% 7.48/1.45  % (10929)Instructions burned: 344 (million)
% 7.48/1.45  % (10929)------------------------------
% 7.48/1.45  % (10929)------------------------------
% 8.06/1.47  % (10976)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/2304Mi)
% 8.06/1.48  % (10981)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/656Mi)
% 8.21/1.51  % (10984)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/485Mi)
% 8.21/1.52  % (10985)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1302Mi)
% 8.21/1.52  % (10942)Instruction limit reached!
% 8.21/1.52  % (10942)------------------------------
% 8.21/1.52  % (10942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.21/1.52  % (10942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.21/1.52  % (10942)Termination reason: Unknown
% 8.21/1.52  % (10942)Termination phase: Saturation
% 8.21/1.52  
% 8.21/1.52  % (10942)Memory used [KB]: 4093
% 8.21/1.52  % (10942)Time elapsed: 0.807 s
% 8.21/1.52  % (10942)Instructions burned: 374 (million)
% 8.21/1.52  % (10942)------------------------------
% 8.21/1.52  % (10942)------------------------------
% 8.42/1.54  % (10927)Instruction limit reached!
% 8.42/1.54  % (10927)------------------------------
% 8.42/1.54  % (10927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.42/1.54  % (10927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.42/1.54  % (10927)Termination reason: Unknown
% 8.42/1.54  % (10927)Termination phase: Saturation
% 8.42/1.54  
% 8.42/1.54  % (10927)Memory used [KB]: 5245
% 8.42/1.54  % (10927)Time elapsed: 0.869 s
% 8.42/1.54  % (10927)Instructions burned: 495 (million)
% 8.42/1.54  % (10927)------------------------------
% 8.42/1.54  % (10927)------------------------------
% 8.42/1.56  % (10954)Instruction limit reached!
% 8.42/1.56  % (10954)------------------------------
% 8.42/1.56  % (10954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.42/1.56  % (10954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.42/1.56  % (10954)Termination reason: Unknown
% 8.42/1.56  % (10954)Termination phase: Saturation
% 8.42/1.56  
% 8.42/1.56  % (10954)Memory used [KB]: 4093
% 8.42/1.56  % (10954)Time elapsed: 0.645 s
% 8.42/1.56  % (10954)Instructions burned: 256 (million)
% 8.42/1.56  % (10954)------------------------------
% 8.42/1.56  % (10954)------------------------------
% 8.42/1.59  % (10987)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/980Mi)
% 8.42/1.61  % (10989)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/591Mi)
% 8.42/1.62  % (10991)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/947Mi)
% 9.63/1.63  % (10990)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/638Mi)
% 9.63/1.65  % (10930)Instruction limit reached!
% 9.63/1.65  % (10930)------------------------------
% 9.63/1.65  % (10930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.63/1.65  % (10930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.63/1.65  % (10930)Termination reason: Unknown
% 9.63/1.65  % (10930)Termination phase: Saturation
% 9.63/1.65  
% 9.63/1.65  % (10930)Memory used [KB]: 8955
% 9.63/1.65  % (10930)Time elapsed: 0.932 s
% 9.63/1.65  % (10930)Instructions burned: 489 (million)
% 9.63/1.65  % (10930)------------------------------
% 9.63/1.65  % (10930)------------------------------
% 9.63/1.66  % (10934)Instruction limit reached!
% 9.63/1.66  % (10934)------------------------------
% 9.63/1.66  % (10934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.63/1.66  % (10934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.63/1.66  % (10934)Termination reason: Unknown
% 9.63/1.66  % (10934)Termination phase: Saturation
% 9.63/1.66  
% 9.63/1.66  % (10934)Memory used [KB]: 4989
% 9.63/1.66  % (10934)Time elapsed: 0.900 s
% 9.63/1.66  % (10934)Instructions burned: 493 (million)
% 9.63/1.66  % (10934)------------------------------
% 9.63/1.66  % (10934)------------------------------
% 10.24/1.71  % (10953)Instruction limit reached!
% 10.24/1.71  % (10953)------------------------------
% 10.24/1.71  % (10953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.24/1.71  % (10953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.24/1.71  % (10953)Termination reason: Unknown
% 10.24/1.71  % (10953)Termination phase: Saturation
% 10.24/1.71  
% 10.24/1.71  % (10953)Memory used [KB]: 3709
% 10.24/1.71  % (10953)Time elapsed: 0.790 s
% 10.24/1.71  % (10953)Instructions burned: 383 (million)
% 10.24/1.71  % (10953)------------------------------
% 10.24/1.71  % (10953)------------------------------
% 10.24/1.73  % (10994)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/691Mi)
% 10.24/1.73  % (10995)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/370Mi)
% 10.24/1.74  % (10926)Instruction limit reached!
% 10.24/1.74  % (10926)------------------------------
% 10.24/1.74  % (10926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.24/1.74  % (10926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.24/1.74  % (10926)Termination reason: Unknown
% 10.24/1.74  % (10926)Termination phase: Saturation
% 10.24/1.74  
% 10.24/1.74  % (10926)Memory used [KB]: 8827
% 10.24/1.74  % (10926)Time elapsed: 1.063 s
% 10.24/1.74  % (10926)Instructions burned: 463 (million)
% 10.24/1.74  % (10926)------------------------------
% 10.24/1.74  % (10926)------------------------------
% 10.88/1.78  % (10947)Instruction limit reached!
% 10.88/1.78  % (10947)------------------------------
% 10.88/1.78  % (10947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.88/1.79  % (10952)Instruction limit reached!
% 10.88/1.79  % (10952)------------------------------
% 10.88/1.79  % (10952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.88/1.79  % (10952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.88/1.79  % (10952)Termination reason: Unknown
% 10.88/1.79  % (10952)Termination phase: Saturation
% 10.88/1.79  
% 10.88/1.79  % (10952)Memory used [KB]: 3965
% 10.88/1.79  % (10952)Time elapsed: 0.951 s
% 10.88/1.79  % (10952)Instructions burned: 360 (million)
% 10.88/1.79  % (10952)------------------------------
% 10.88/1.79  % (10952)------------------------------
% 10.88/1.79  % (10947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.88/1.79  % (10947)Termination reason: Unknown
% 10.88/1.79  % (10947)Termination phase: Saturation
% 10.88/1.79  
% 10.88/1.79  % (10947)Memory used [KB]: 8827
% 10.88/1.79  % (10947)Time elapsed: 1.055 s
% 10.88/1.79  % (10947)Instructions burned: 488 (million)
% 10.88/1.79  % (10947)------------------------------
% 10.88/1.79  % (10947)------------------------------
% 10.95/1.79  % (10967)Instruction limit reached!
% 10.95/1.79  % (10967)------------------------------
% 10.95/1.79  % (10967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.95/1.79  % (10967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.95/1.79  % (10967)Termination reason: Unknown
% 10.95/1.79  % (10967)Termination phase: Saturation
% 10.95/1.79  
% 10.95/1.79  % (10967)Memory used [KB]: 4477
% 10.95/1.79  % (10967)Time elapsed: 0.735 s
% 10.95/1.79  % (10967)Instructions burned: 331 (million)
% 10.95/1.79  % (10967)------------------------------
% 10.95/1.79  % (10967)------------------------------
% 11.05/1.81  % (10996)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/361Mi)
% 11.08/1.83  % (10999)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/3058Mi)
% 11.08/1.84  % (11001)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1198Mi)
% 11.08/1.87  % (10980)Instruction limit reached!
% 11.08/1.87  % (10980)------------------------------
% 11.08/1.87  % (10980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.08/1.87  % (10980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.08/1.87  % (10980)Termination reason: Unknown
% 11.08/1.87  % (10980)Termination phase: Saturation
% 11.08/1.87  
% 11.08/1.87  % (10980)Memory used [KB]: 3326
% 11.08/1.87  % (10980)Time elapsed: 0.575 s
% 11.08/1.87  % (10980)Instructions burned: 240 (million)
% 11.08/1.87  % (10980)------------------------------
% 11.08/1.87  % (10980)------------------------------
% 11.08/1.89  % (11002)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/2501Mi)
% 11.66/1.93  % (11005)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/256Mi)
% 11.66/1.96  % (11008)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/1168Mi)
% 12.11/1.99  % (11007)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/217Mi)
% 12.11/1.99  % (11009)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/1006Mi)
% 12.11/2.04  % (10944)Instruction limit reached!
% 12.11/2.04  % (10944)------------------------------
% 12.11/2.04  % (10944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.11/2.04  % (10944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.11/2.04  % (10944)Termination reason: Unknown
% 12.11/2.04  % (10944)Termination phase: Saturation
% 12.11/2.04  
% 12.11/2.04  % (10944)Memory used [KB]: 12792
% 12.11/2.04  % (10944)Time elapsed: 0.297 s
% 12.11/2.04  % (10944)Instructions burned: 500 (million)
% 12.11/2.04  % (10944)------------------------------
% 12.11/2.04  % (10944)------------------------------
% 12.11/2.05  % (10958)Instruction limit reached!
% 12.11/2.05  % (10958)------------------------------
% 12.11/2.05  % (10958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.11/2.05  % (10958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.11/2.05  % (10958)Termination reason: Unknown
% 12.11/2.05  % (10958)Termination phase: Saturation
% 12.11/2.05  
% 12.11/2.05  % (10958)Memory used [KB]: 10618
% 12.11/2.05  % (10958)Time elapsed: 1.123 s
% 12.11/2.05  % (10958)Instructions burned: 501 (million)
% 12.11/2.05  % (10958)------------------------------
% 12.11/2.05  % (10958)------------------------------
% 12.11/2.07  % (11011)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/4966Mi)
% 14.48/2.26  % (10955)Instruction limit reached!
% 14.48/2.26  % (10955)------------------------------
% 14.48/2.26  % (10955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.48/2.26  % (10955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.48/2.26  % (10955)Termination reason: Unknown
% 14.48/2.26  % (10955)Termination phase: Saturation
% 14.48/2.26  
% 14.48/2.26  % (10955)Memory used [KB]: 13048
% 14.48/2.26  % (10955)Time elapsed: 1.303 s
% 14.48/2.26  % (10955)Instructions burned: 1006 (million)
% 14.48/2.26  % (10955)------------------------------
% 14.48/2.26  % (10955)------------------------------
% 14.48/2.27  % (11014)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/3932Mi)
% 14.48/2.29  % (11013)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/4835Mi)
% 15.12/2.34  % (10984)Instruction limit reached!
% 15.12/2.34  % (10984)------------------------------
% 15.12/2.34  % (10984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.12/2.35  % (10984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.12/2.35  % (10984)Termination reason: Unknown
% 15.12/2.35  % (10984)Termination phase: Saturation
% 15.12/2.35  
% 15.12/2.35  % (10984)Memory used [KB]: 5117
% 15.12/2.35  % (10984)Time elapsed: 0.954 s
% 15.12/2.35  % (10984)Instructions burned: 485 (million)
% 15.12/2.35  % (10984)------------------------------
% 15.12/2.35  % (10984)------------------------------
% 15.68/2.39  % (10995)Instruction limit reached!
% 15.68/2.39  % (10995)------------------------------
% 15.68/2.39  % (10995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.68/2.39  % (10995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.68/2.39  % (10995)Termination reason: Unknown
% 15.68/2.39  % (10995)Termination phase: Saturation
% 15.68/2.39  
% 15.68/2.39  % (10995)Memory used [KB]: 5628
% 15.68/2.39  % (10995)Time elapsed: 0.630 s
% 15.68/2.39  % (10995)Instructions burned: 372 (million)
% 15.68/2.39  % (10995)------------------------------
% 15.68/2.39  % (10995)------------------------------
% 15.68/2.43  % (11007)Instruction limit reached!
% 15.68/2.43  % (11007)------------------------------
% 15.68/2.43  % (11007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.68/2.43  % (11007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.68/2.43  % (11007)Termination reason: Unknown
% 15.68/2.43  % (11007)Termination phase: Saturation
% 15.68/2.43  
% 15.68/2.43  % (11007)Memory used [KB]: 7931
% 15.68/2.43  % (11007)Time elapsed: 0.528 s
% 15.68/2.43  % (11007)Instructions burned: 217 (million)
% 15.68/2.43  % (11007)------------------------------
% 15.68/2.43  % (11007)------------------------------
% 15.68/2.43  % (11005)Instruction limit reached!
% 15.68/2.43  % (11005)------------------------------
% 15.68/2.43  % (11005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.68/2.43  % (11005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.68/2.43  % (11005)Termination reason: Unknown
% 15.68/2.43  % (11005)Termination phase: Saturation
% 15.68/2.43  
% 15.68/2.43  % (11005)Memory used [KB]: 4093
% 15.68/2.43  % (11005)Time elapsed: 0.654 s
% 15.68/2.43  % (11005)Instructions burned: 256 (million)
% 15.68/2.43  % (11005)------------------------------
% 15.68/2.43  % (11005)------------------------------
% 15.68/2.43  % (11016)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/1742Mi)
% 16.37/2.49  % (10996)Instruction limit reached!
% 16.37/2.49  % (10996)------------------------------
% 16.37/2.49  % (10996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.37/2.49  % (10996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.37/2.49  % (10996)Termination reason: Unknown
% 16.37/2.49  % (10996)Termination phase: Saturation
% 16.37/2.49  
% 16.37/2.49  % (10996)Memory used [KB]: 4861
% 16.37/2.49  % (10996)Time elapsed: 0.809 s
% 16.37/2.49  % (10996)Instructions burned: 363 (million)
% 16.37/2.49  % (10996)------------------------------
% 16.37/2.49  % (10996)------------------------------
% 16.70/2.57  % (11019)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/947Mi)
% 16.70/2.59  % (11018)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/3843Mi)
% 17.22/2.61  % (11021)lrs+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/4725Mi)
% 17.22/2.67  % (11023)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/1518Mi)
% 17.73/2.69  % (11020)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/3622Mi)
% 17.73/2.77  % (10981)Instruction limit reached!
% 17.73/2.77  % (10981)------------------------------
% 17.73/2.77  % (10981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.73/2.77  % (10981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.73/2.77  % (10981)Termination reason: Unknown
% 17.73/2.77  % (10981)Termination phase: Saturation
% 17.73/2.77  
% 17.73/2.77  % (10981)Memory used [KB]: 6012
% 17.73/2.77  % (10981)Time elapsed: 1.403 s
% 17.73/2.77  % (10981)Instructions burned: 658 (million)
% 17.73/2.77  % (10981)------------------------------
% 17.73/2.77  % (10981)------------------------------
% 18.34/2.80  % (10989)Instruction limit reached!
% 18.34/2.80  % (10989)------------------------------
% 18.34/2.80  % (10989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.34/2.80  % (10989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.34/2.80  % (10989)Termination reason: Unknown
% 18.34/2.80  % (10989)Termination phase: Saturation
% 18.34/2.80  
% 18.34/2.80  % (10989)Memory used [KB]: 14328
% 18.34/2.80  % (10989)Time elapsed: 0.291 s
% 18.34/2.80  % (10989)Instructions burned: 592 (million)
% 18.34/2.80  % (10989)------------------------------
% 18.34/2.80  % (10989)------------------------------
% 19.38/2.89  % (10990)Instruction limit reached!
% 19.38/2.89  % (10990)------------------------------
% 19.38/2.89  % (10990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.38/2.89  % (10990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.38/2.89  % (10990)Termination reason: Unknown
% 19.38/2.89  % (10990)Termination phase: Saturation
% 19.38/2.89  
% 19.38/2.89  % (10990)Memory used [KB]: 9338
% 19.38/2.89  % (10990)Time elapsed: 1.383 s
% 19.38/2.89  % (10990)Instructions burned: 638 (million)
% 19.38/2.89  % (10990)------------------------------
% 19.38/2.89  % (10990)------------------------------
% 20.26/2.97  % (11025)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2661:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/2661Mi)
% 20.26/2.98  % (11026)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/1324Mi)
% 20.94/3.07  % (10994)Instruction limit reached!
% 20.94/3.07  % (10994)------------------------------
% 20.94/3.07  % (10994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.94/3.07  % (10994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.94/3.07  % (10994)Termination reason: Unknown
% 20.94/3.07  % (10994)Termination phase: Saturation
% 20.94/3.07  
% 20.94/3.07  % (10994)Memory used [KB]: 8059
% 20.94/3.07  % (10994)Time elapsed: 0.812 s
% 20.94/3.07  % (10994)Instructions burned: 692 (million)
% 20.94/3.07  % (10994)------------------------------
% 20.94/3.07  % (10994)------------------------------
% 21.69/3.16  % (11027)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/1168Mi)
% 22.48/3.27  % (11029)dis+1004_1:3_av=off:bs=on:plsq=on:i=11321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/11321Mi)
% 24.36/3.48  % (10987)Instruction limit reached!
% 24.36/3.48  % (10987)------------------------------
% 24.36/3.48  % (10987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.36/3.48  % (10987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.36/3.48  % (10987)Termination reason: Unknown
% 24.36/3.48  % (10987)Termination phase: Saturation
% 24.36/3.48  
% 24.36/3.48  % (10987)Memory used [KB]: 11769
% 24.36/3.48  % (10987)Time elapsed: 2.0000 s
% 24.36/3.48  % (10987)Instructions burned: 981 (million)
% 24.36/3.48  % (10987)------------------------------
% 24.36/3.48  % (10987)------------------------------
% 25.71/3.66  % (10991)Instruction limit reached!
% 25.71/3.66  % (10991)------------------------------
% 25.71/3.66  % (10991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.71/3.66  % (10991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.71/3.66  % (10991)Termination reason: Unknown
% 25.71/3.66  % (10991)Termination phase: Saturation
% 25.71/3.66  
% 25.71/3.66  % (10991)Memory used [KB]: 15991
% 25.71/3.66  % (10991)Time elapsed: 2.170 s
% 25.71/3.66  % (10991)Instructions burned: 948 (million)
% 25.71/3.66  % (10991)------------------------------
% 25.71/3.66  % (10991)------------------------------
% 26.28/3.75  % (11034)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/12082Mi)
% 27.25/3.86  % (11036)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=31695:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/31695Mi)
% 28.12/3.95  % (10960)Instruction limit reached!
% 28.12/3.95  % (10960)------------------------------
% 28.12/3.95  % (10960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.12/3.95  % (10960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.12/3.95  % (10960)Termination reason: Unknown
% 28.12/3.95  % (10960)Termination phase: Saturation
% 28.12/3.95  
% 28.12/3.95  % (10960)Memory used [KB]: 21108
% 28.12/3.95  % (10960)Time elapsed: 2.831 s
% 28.12/3.95  % (10960)Instructions burned: 1706 (million)
% 28.12/3.95  % (10960)------------------------------
% 28.12/3.95  % (10960)------------------------------
% 28.34/4.04  % (11009)Instruction limit reached!
% 28.34/4.04  % (11009)------------------------------
% 28.34/4.04  % (11009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.34/4.04  % (11009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.34/4.04  % (11009)Termination reason: Unknown
% 28.34/4.04  % (11009)Termination phase: Saturation
% 28.34/4.04  
% 28.34/4.04  % (11009)Memory used [KB]: 12409
% 28.34/4.04  % (11009)Time elapsed: 2.175 s
% 28.34/4.04  % (11009)Instructions burned: 1006 (million)
% 28.34/4.04  % (11009)------------------------------
% 28.34/4.04  % (11009)------------------------------
% 29.72/4.18  % (11038)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=7145:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/7145Mi)
% 30.26/4.23  % (10985)Refutation not found, non-redundant clauses discarded% (10985)------------------------------
% 30.26/4.23  % (10985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.26/4.23  % (10985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.26/4.23  % (10985)Termination reason: Refutation not found, non-redundant clauses discarded
% 30.26/4.23  
% 30.26/4.23  % (10985)Memory used [KB]: 11257
% 30.26/4.23  % (10985)Time elapsed: 2.843 s
% 30.26/4.23  % (10985)Instructions burned: 1295 (million)
% 30.26/4.23  % (10985)------------------------------
% 30.26/4.23  % (10985)------------------------------
% 30.63/4.29  % (11008)Instruction limit reached!
% 30.63/4.29  % (11008)------------------------------
% 30.63/4.29  % (11008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.63/4.29  % (11008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.63/4.29  % (11008)Termination reason: Unknown
% 30.63/4.29  % (11008)Termination phase: Saturation
% 30.63/4.29  
% 30.63/4.29  % (11008)Memory used [KB]: 7164
% 30.63/4.29  % (11008)Time elapsed: 2.453 s
% 30.63/4.29  % (11008)Instructions burned: 1169 (million)
% 30.63/4.29  % (11008)------------------------------
% 30.63/4.29  % (11008)------------------------------
% 30.63/4.31  % (11039)lrs+10_1:1_br=off:ep=RSTC:plsq=on:plsqc=1:plsqr=32,1:urr=on:i=48352:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/48352Mi)
% 31.34/4.42  % (11016)First to succeed.
% 31.73/4.43  % (11001)Instruction limit reached!
% 31.73/4.43  % (11001)------------------------------
% 31.73/4.43  % (11001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.73/4.43  % (11001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.73/4.43  % (11001)Termination reason: Unknown
% 31.73/4.43  % (11001)Termination phase: Saturation
% 31.73/4.43  
% 31.73/4.43  % (11001)Memory used [KB]: 7164
% 31.73/4.43  % (11001)Time elapsed: 2.678 s
% 31.73/4.43  % (11001)Instructions burned: 1198 (million)
% 31.73/4.43  % (11001)------------------------------
% 31.73/4.43  % (11001)------------------------------
% 31.73/4.48  % (11041)lrs+21_1:1_ep=RS:fs=off:fsr=off:s2a=on:s2at=1.5:sac=on:sos=all:updr=off:i=24952:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/24952Mi)
% 31.73/4.48  % (11040)lrs+10_1:16_ss=axioms:st=3.0:i=48076:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/48076Mi)
% 32.28/4.49  % (11016)Refutation found. Thanks to Tanya!
% 32.28/4.49  % SZS status Theorem for theBenchmark
% 32.28/4.49  % SZS output start Proof for theBenchmark
% See solution above
% 32.28/4.50  % (11016)------------------------------
% 32.28/4.50  % (11016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.28/4.50  % (11016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.28/4.50  % (11016)Termination reason: Refutation
% 32.28/4.50  
% 32.28/4.50  % (11016)Memory used [KB]: 10106
% 32.28/4.50  % (11016)Time elapsed: 2.063 s
% 32.28/4.50  % (11016)Instructions burned: 1280 (million)
% 32.28/4.50  % (11016)------------------------------
% 32.28/4.50  % (11016)------------------------------
% 32.28/4.50  % (10865)Success in time 4.125 s
%------------------------------------------------------------------------------