TSTP Solution File: ALG137+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG137+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n021.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 15:39:57 EDT 2022

% Result   : Unsatisfiable 2.13s 0.68s
% Output   : Refutation 2.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  116
% Syntax   : Number of formulae    :  899 (  51 unt;   0 def)
%            Number of atoms       : 2537 (1008 equ)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 2990 (1352   ~;1390   |; 149   &)
%                                         (  99 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  104 ( 102 usr; 103 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3881,plain,
    $false,
    inference(avatar_sat_refutation,[],[f232,f241,f258,f275,f288,f318,f331,f353,f366,f375,f401,f414,f423,f437,f446,f468,f473,f485,f507,f512,f526,f535,f544,f549,f564,f565,f571,f580,f585,f598,f599,f604,f616,f617,f622,f627,f632,f634,f639,f640,f641,f642,f648,f653,f654,f655,f660,f665,f677,f682,f684,f685,f686,f689,f694,f699,f700,f705,f706,f711,f717,f725,f728,f741,f777,f785,f787,f788,f796,f804,f823,f834,f841,f842,f850,f854,f861,f866,f900,f918,f923,f928,f931,f945,f951,f956,f980,f983,f987,f1026,f1037,f1051,f1063,f1064,f1075,f1091,f1102,f1107,f1109,f1111,f1119,f1125,f1137,f1173,f1177,f1197,f1206,f1210,f1218,f1251,f1255,f1289,f1301,f1408,f1427,f1442,f1453,f1473,f1478,f1508,f1526,f1542,f1581,f1603,f1639,f1642,f1672,f1690,f1694,f1700,f1732,f1735,f1746,f1759,f1774,f1779,f1783,f1813,f1843,f1869,f1874,f1895,f1939,f1944,f1959,f1973,f1980,f2016,f2037,f2074,f2089,f2096,f2166,f2173,f2177,f2192,f2211,f2220,f2313,f2323,f2328,f2339,f2357,f2368,f2406,f2447,f2453,f2457,f2484,f2489,f2544,f2560,f2581,f2623,f2643,f2674,f2677,f2687,f2714,f2718,f2744,f2747,f2750,f2786,f2796,f2799,f2808,f2813,f2830,f2841,f2855,f2881,f2899,f2903,f2910,f2915,f2919,f2946,f2998,f3005,f3006,f3016,f3021,f3050,f3056,f3068,f3078,f3085,f3119,f3132,f3146,f3149,f3151,f3156,f3160,f3162,f3166,f3174,f3178,f3181,f3184,f3193,f3213,f3222,f3238,f3245,f3311,f3336,f3343,f3378,f3392,f3417,f3421,f3426,f3438,f3445,f3482,f3518,f3525,f3526,f3536,f3560,f3565,f3591,f3640,f3660,f3674,f3682,f3687,f3704,f3739,f3752,f3765,f3788,f3790,f3798,f3808,f3810,f3812,f3861,f3865]) ).

fof(f3865,plain,
    ( ~ spl3_31
    | ~ spl3_45 ),
    inference(avatar_split_clause,[],[f3864,f394,f333]) ).

fof(f333,plain,
    ( spl3_31
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).

fof(f394,plain,
    ( spl3_45
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).

fof(f3864,plain,
    ( op(e0,e0) != e2
    | ~ spl3_45 ),
    inference(forward_demodulation,[],[f103,f396]) ).

fof(f396,plain,
    ( e2 = op(e0,e1)
    | ~ spl3_45 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f103,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( op(e3,e2) != op(e3,e3)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e2,e0)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e2) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e1) != op(e0,e2)
    & op(e2,e0) != op(e3,e0)
    & op(e3,e0) != op(e3,e1)
    & op(e0,e3) != op(e1,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e3) != op(e3,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e1) != op(e1,e1)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e1) != op(e2,e1)
    & op(e1,e1) != op(e1,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e1,e1) != op(e2,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e0) != op(e1,e0)
    & op(e2,e2) != op(e2,e3)
    & op(e1,e0) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e2,e0) != op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f3861,plain,
    ( spl3_32
    | ~ spl3_35
    | ~ spl3_42
    | ~ spl3_84 ),
    inference(avatar_contradiction_clause,[],[f3860]) ).

fof(f3860,plain,
    ( $false
    | spl3_32
    | ~ spl3_35
    | ~ spl3_42
    | ~ spl3_84 ),
    inference(subsumption_resolution,[],[f3859,f579]) ).

fof(f579,plain,
    ( e1 = op(e0,e2)
    | ~ spl3_84 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f577,plain,
    ( spl3_84
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).

fof(f3859,plain,
    ( e1 != op(e0,e2)
    | spl3_32
    | ~ spl3_35
    | ~ spl3_42 ),
    inference(forward_demodulation,[],[f3858,f352]) ).

fof(f352,plain,
    ( e2 = op(e3,e0)
    | ~ spl3_35 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f350,plain,
    ( spl3_35
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).

fof(f3858,plain,
    ( e1 != op(e0,op(e3,e0))
    | spl3_32
    | ~ spl3_42 ),
    inference(forward_demodulation,[],[f339,f383]) ).

fof(f383,plain,
    ( op(e0,e0) = e3
    | ~ spl3_42 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f381,plain,
    ( spl3_42
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).

fof(f339,plain,
    ( e1 != op(e0,op(op(e0,e0),e0))
    | spl3_32 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl3_32
  <=> e1 = op(e0,op(op(e0,e0),e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).

fof(f3812,plain,
    ( ~ spl3_65
    | ~ spl3_84 ),
    inference(avatar_split_clause,[],[f3811,f577,f487]) ).

fof(f487,plain,
    ( spl3_65
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).

fof(f3811,plain,
    ( op(e0,e0) != e1
    | ~ spl3_84 ),
    inference(forward_demodulation,[],[f87,f579]) ).

fof(f87,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3810,plain,
    ( ~ spl3_65
    | ~ spl3_7 ),
    inference(avatar_split_clause,[],[f3809,f229,f487]) ).

fof(f229,plain,
    ( spl3_7
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f3809,plain,
    ( op(e0,e0) != e1
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f67,f231]) ).

fof(f231,plain,
    ( e1 = op(e1,e0)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f67,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3808,plain,
    ( spl3_50
    | ~ spl3_84
    | ~ spl3_99 ),
    inference(avatar_split_clause,[],[f3807,f662,f577,f416]) ).

fof(f416,plain,
    ( spl3_50
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).

fof(f662,plain,
    ( spl3_99
  <=> e0 = op(op(e0,e2),op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).

fof(f3807,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_84
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f664,f579]) ).

fof(f664,plain,
    ( e0 = op(op(e0,e2),op(e0,e2))
    | ~ spl3_99 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f3798,plain,
    ( ~ spl3_10
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f3732,f368,f243]) ).

fof(f243,plain,
    ( spl3_10
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f368,plain,
    ( spl3_39
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).

fof(f3732,plain,
    ( e1 != op(e3,e1)
    | ~ spl3_39 ),
    inference(forward_demodulation,[],[f75,f369]) ).

fof(f369,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_39 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f75,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3790,plain,
    ( ~ spl3_69
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f3789,f411,f504]) ).

fof(f504,plain,
    ( spl3_69
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).

fof(f411,plain,
    ( spl3_49
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).

fof(f3789,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_49 ),
    inference(forward_demodulation,[],[f86,f413]) ).

fof(f413,plain,
    ( e0 = op(e0,e3)
    | ~ spl3_49 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f86,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3788,plain,
    ( ~ spl3_88
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f3646,f368,f595]) ).

fof(f595,plain,
    ( spl3_88
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).

fof(f3646,plain,
    ( e1 != op(e1,e3)
    | ~ spl3_39 ),
    inference(forward_demodulation,[],[f105,f369]) ).

fof(f105,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3765,plain,
    ( ~ spl3_41
    | ~ spl3_63 ),
    inference(avatar_split_clause,[],[f3762,f475,f377]) ).

fof(f377,plain,
    ( spl3_41
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).

fof(f475,plain,
    ( spl3_63
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).

fof(f3762,plain,
    ( e3 != op(e0,e2)
    | ~ spl3_63 ),
    inference(backward_demodulation,[],[f97,f477]) ).

fof(f477,plain,
    ( e3 = op(e1,e2)
    | ~ spl3_63 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f97,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3752,plain,
    ( ~ spl3_35
    | ~ spl3_42
    | spl3_67 ),
    inference(avatar_contradiction_clause,[],[f3751]) ).

fof(f3751,plain,
    ( $false
    | ~ spl3_35
    | ~ spl3_42
    | spl3_67 ),
    inference(subsumption_resolution,[],[f3750,f352]) ).

fof(f3750,plain,
    ( e2 != op(e3,e0)
    | ~ spl3_42
    | spl3_67 ),
    inference(forward_demodulation,[],[f497,f383]) ).

fof(f497,plain,
    ( e2 != op(op(e0,e0),e0)
    | spl3_67 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f495,plain,
    ( spl3_67
  <=> e2 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).

fof(f3739,plain,
    ( ~ spl3_47
    | spl3_37
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f3683,f368,f359,f403]) ).

fof(f403,plain,
    ( spl3_47
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).

fof(f359,plain,
    ( spl3_37
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).

fof(f3683,plain,
    ( e0 != op(e1,e3)
    | spl3_37
    | ~ spl3_39 ),
    inference(forward_demodulation,[],[f361,f369]) ).

fof(f361,plain,
    ( e0 != op(op(e3,e3),e3)
    | spl3_37 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f3704,plain,
    ( ~ spl3_41
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f3703,f385,f377]) ).

fof(f385,plain,
    ( spl3_43
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_43])]) ).

fof(f3703,plain,
    ( e3 != op(e0,e2)
    | ~ spl3_43 ),
    inference(backward_demodulation,[],[f98,f387]) ).

fof(f387,plain,
    ( e3 = op(e0,e3)
    | ~ spl3_43 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f98,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3687,plain,
    ( ~ spl3_35
    | spl3_58
    | ~ spl3_97 ),
    inference(avatar_contradiction_clause,[],[f3686]) ).

fof(f3686,plain,
    ( $false
    | ~ spl3_35
    | spl3_58
    | ~ spl3_97 ),
    inference(subsumption_resolution,[],[f3633,f454]) ).

fof(f454,plain,
    ( e3 != op(e2,e2)
    | spl3_58 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f452,plain,
    ( spl3_58
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).

fof(f3633,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_35
    | ~ spl3_97 ),
    inference(backward_demodulation,[],[f652,f352]) ).

fof(f652,plain,
    ( e3 = op(op(e3,e0),op(e3,e0))
    | ~ spl3_97 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f650,plain,
    ( spl3_97
  <=> e3 = op(op(e3,e0),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).

fof(f3682,plain,
    ( ~ spl3_41
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f3680,f264,f377]) ).

fof(f264,plain,
    ( spl3_15
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f3680,plain,
    ( e3 != op(e0,e2)
    | ~ spl3_15 ),
    inference(backward_demodulation,[],[f79,f266]) ).

fof(f266,plain,
    ( e3 = op(e3,e2)
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f79,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3674,plain,
    ( ~ spl3_20
    | ~ spl3_61 ),
    inference(avatar_split_clause,[],[f3673,f465,f285]) ).

fof(f285,plain,
    ( spl3_20
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f465,plain,
    ( spl3_61
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).

fof(f3673,plain,
    ( e2 != op(e2,e2)
    | ~ spl3_61 ),
    inference(backward_demodulation,[],[f66,f467]) ).

fof(f467,plain,
    ( e2 = op(e2,e3)
    | ~ spl3_61 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f66,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3660,plain,
    ( ~ spl3_35
    | ~ spl3_39
    | spl3_40
    | ~ spl3_47 ),
    inference(avatar_contradiction_clause,[],[f3659]) ).

fof(f3659,plain,
    ( $false
    | ~ spl3_35
    | ~ spl3_39
    | spl3_40
    | ~ spl3_47 ),
    inference(subsumption_resolution,[],[f3658,f352]) ).

fof(f3658,plain,
    ( e2 != op(e3,e0)
    | ~ spl3_39
    | spl3_40
    | ~ spl3_47 ),
    inference(forward_demodulation,[],[f3657,f405]) ).

fof(f405,plain,
    ( e0 = op(e1,e3)
    | ~ spl3_47 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f3657,plain,
    ( e2 != op(e3,op(e1,e3))
    | ~ spl3_39
    | spl3_40 ),
    inference(forward_demodulation,[],[f374,f369]) ).

fof(f374,plain,
    ( e2 != op(e3,op(op(e3,e3),e3))
    | spl3_40 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f372,plain,
    ( spl3_40
  <=> e2 = op(e3,op(op(e3,e3),e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).

fof(f3640,plain,
    ( ~ spl3_2
    | ~ spl3_39
    | ~ spl3_92 ),
    inference(avatar_contradiction_clause,[],[f3639]) ).

fof(f3639,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_39
    | ~ spl3_92 ),
    inference(subsumption_resolution,[],[f3638,f201]) ).

fof(f201,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( e2 != e3
    & e0 != e1
    & e0 != e2
    & e1 != e2
    & e1 != e3
    & e0 != e3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f3638,plain,
    ( e2 = e3
    | ~ spl3_2
    | ~ spl3_39
    | ~ spl3_92 ),
    inference(forward_demodulation,[],[f3637,f209]) ).

fof(f209,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f208,plain,
    ( spl3_2
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f3637,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_39
    | ~ spl3_92 ),
    inference(forward_demodulation,[],[f621,f369]) ).

fof(f621,plain,
    ( e3 = op(op(e3,e3),op(e3,e3))
    | ~ spl3_92 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f619,plain,
    ( spl3_92
  <=> e3 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_92])]) ).

fof(f3591,plain,
    ( ~ spl3_7
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f3590,f528,f229]) ).

fof(f528,plain,
    ( spl3_74
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).

fof(f3590,plain,
    ( e1 != op(e1,e0)
    | ~ spl3_74 ),
    inference(forward_demodulation,[],[f78,f530]) ).

fof(f530,plain,
    ( e1 = op(e2,e0)
    | ~ spl3_74 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f78,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3565,plain,
    ( ~ spl3_60
    | ~ spl3_20 ),
    inference(avatar_split_clause,[],[f3554,f285,f461]) ).

fof(f461,plain,
    ( spl3_60
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).

fof(f3554,plain,
    ( e2 != op(e2,e1)
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f89,f287]) ).

fof(f287,plain,
    ( e2 = op(e2,e2)
    | ~ spl3_20 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f89,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3560,plain,
    ( ~ spl3_20
    | spl3_95 ),
    inference(avatar_contradiction_clause,[],[f3559]) ).

fof(f3559,plain,
    ( $false
    | ~ spl3_20
    | spl3_95 ),
    inference(subsumption_resolution,[],[f3557,f287]) ).

fof(f3557,plain,
    ( e2 != op(e2,e2)
    | ~ spl3_20
    | spl3_95 ),
    inference(backward_demodulation,[],[f637,f287]) ).

fof(f637,plain,
    ( e2 != op(op(e2,e2),op(e2,e2))
    | spl3_95 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f636,plain,
    ( spl3_95
  <=> e2 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_95])]) ).

fof(f3536,plain,
    ( ~ spl3_5
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f3535,f208,f221]) ).

fof(f221,plain,
    ( spl3_5
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f3535,plain,
    ( e2 != op(e1,e0)
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f96,f209]) ).

fof(f96,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3526,plain,
    ( ~ spl3_76
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f3521,f528,f537]) ).

fof(f537,plain,
    ( spl3_76
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_76])]) ).

fof(f3521,plain,
    ( e1 != op(e2,e2)
    | ~ spl3_74 ),
    inference(backward_demodulation,[],[f61,f530]) ).

fof(f61,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3525,plain,
    ( ~ spl3_94
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f3522,f528,f629]) ).

fof(f629,plain,
    ( spl3_94
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_94])]) ).

fof(f3522,plain,
    ( e1 != op(e3,e0)
    | ~ spl3_74 ),
    inference(backward_demodulation,[],[f94,f530]) ).

fof(f94,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3518,plain,
    ( ~ spl3_83
    | ~ spl3_69 ),
    inference(avatar_split_clause,[],[f3517,f504,f573]) ).

fof(f573,plain,
    ( spl3_83
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).

fof(f3517,plain,
    ( e0 != op(e0,e2)
    | ~ spl3_69 ),
    inference(forward_demodulation,[],[f87,f506]) ).

fof(f506,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_69 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f3482,plain,
    ( ~ spl3_36
    | ~ spl3_76
    | ~ spl3_92 ),
    inference(avatar_contradiction_clause,[],[f3481]) ).

fof(f3481,plain,
    ( $false
    | ~ spl3_36
    | ~ spl3_76
    | ~ spl3_92 ),
    inference(subsumption_resolution,[],[f3480,f197]) ).

fof(f197,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f3480,plain,
    ( e1 = e3
    | ~ spl3_36
    | ~ spl3_76
    | ~ spl3_92 ),
    inference(forward_demodulation,[],[f3479,f539]) ).

fof(f539,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_76 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f3479,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_36
    | ~ spl3_92 ),
    inference(forward_demodulation,[],[f621,f356]) ).

fof(f356,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_36 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl3_36
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).

fof(f3445,plain,
    ( ~ spl3_4
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f3375,f532,f217]) ).

fof(f217,plain,
    ( spl3_4
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f532,plain,
    ( spl3_75
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_75])]) ).

fof(f3375,plain,
    ( e3 != op(e1,e0)
    | ~ spl3_75 ),
    inference(forward_demodulation,[],[f78,f534]) ).

fof(f534,plain,
    ( e3 = op(e2,e0)
    | ~ spl3_75 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f3438,plain,
    ( ~ spl3_65
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f3437,f443,f487]) ).

fof(f443,plain,
    ( spl3_56
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).

fof(f3437,plain,
    ( op(e0,e0) != e1
    | ~ spl3_56 ),
    inference(forward_demodulation,[],[f86,f445]) ).

fof(f445,plain,
    ( e1 = op(e0,e3)
    | ~ spl3_56 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f3426,plain,
    ( ~ spl3_42
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f3425,f532,f381]) ).

fof(f3425,plain,
    ( op(e0,e0) != e3
    | ~ spl3_75 ),
    inference(forward_demodulation,[],[f102,f534]) ).

fof(f102,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3421,plain,
    ( spl3_39
    | ~ spl3_87
    | ~ spl3_93 ),
    inference(avatar_contradiction_clause,[],[f3420]) ).

fof(f3420,plain,
    ( $false
    | spl3_39
    | ~ spl3_87
    | ~ spl3_93 ),
    inference(subsumption_resolution,[],[f3419,f370]) ).

fof(f370,plain,
    ( e1 != op(e3,e3)
    | spl3_39 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f3419,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_87
    | ~ spl3_93 ),
    inference(backward_demodulation,[],[f626,f593]) ).

fof(f593,plain,
    ( e3 = op(e1,e3)
    | ~ spl3_87 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f591,plain,
    ( spl3_87
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_87])]) ).

fof(f626,plain,
    ( e1 = op(op(e1,e3),op(e1,e3))
    | ~ spl3_93 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f624,plain,
    ( spl3_93
  <=> e1 = op(op(e1,e3),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_93])]) ).

fof(f3417,plain,
    ( spl3_42
    | ~ spl3_68
    | ~ spl3_97 ),
    inference(avatar_split_clause,[],[f3325,f650,f500,f381]) ).

fof(f500,plain,
    ( spl3_68
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).

fof(f3325,plain,
    ( op(e0,e0) = e3
    | ~ spl3_68
    | ~ spl3_97 ),
    inference(backward_demodulation,[],[f652,f502]) ).

fof(f502,plain,
    ( e0 = op(e3,e0)
    | ~ spl3_68 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f3392,plain,
    ( ~ spl3_21
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f3391,f294,f290]) ).

fof(f290,plain,
    ( spl3_21
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f294,plain,
    ( spl3_22
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f3391,plain,
    ( e0 != op(e2,e2)
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f66,f296]) ).

fof(f296,plain,
    ( e0 = op(e2,e3)
    | ~ spl3_22 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f3378,plain,
    ( ~ spl3_63
    | spl3_73
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f3377,f537,f523,f475]) ).

fof(f523,plain,
    ( spl3_73
  <=> e3 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).

fof(f3377,plain,
    ( e3 != op(e1,e2)
    | spl3_73
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f525,f539]) ).

fof(f525,plain,
    ( e3 != op(op(e2,e2),e2)
    | spl3_73 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f3343,plain,
    ( spl3_36
    | ~ spl3_54
    | ~ spl3_75 ),
    inference(avatar_contradiction_clause,[],[f3342]) ).

fof(f3342,plain,
    ( $false
    | spl3_36
    | ~ spl3_54
    | ~ spl3_75 ),
    inference(subsumption_resolution,[],[f3341,f357]) ).

fof(f357,plain,
    ( e2 != op(e3,e3)
    | spl3_36 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f3341,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_54
    | ~ spl3_75 ),
    inference(forward_demodulation,[],[f436,f534]) ).

fof(f436,plain,
    ( e2 = op(op(e2,e0),op(e2,e0))
    | ~ spl3_54 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f434,plain,
    ( spl3_54
  <=> e2 = op(op(e2,e0),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).

fof(f3336,plain,
    ( spl3_50
    | ~ spl3_65
    | ~ spl3_104 ),
    inference(avatar_split_clause,[],[f3335,f696,f487,f416]) ).

fof(f696,plain,
    ( spl3_104
  <=> e0 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).

fof(f3335,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_65
    | ~ spl3_104 ),
    inference(forward_demodulation,[],[f698,f488]) ).

fof(f488,plain,
    ( op(e0,e0) = e1
    | ~ spl3_65 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f698,plain,
    ( e0 = op(op(e0,e0),op(e0,e0))
    | ~ spl3_104 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f3311,plain,
    ( ~ spl3_74
    | ~ spl3_65 ),
    inference(avatar_split_clause,[],[f3310,f487,f528]) ).

fof(f3310,plain,
    ( e1 != op(e2,e0)
    | ~ spl3_65 ),
    inference(forward_demodulation,[],[f102,f488]) ).

fof(f3245,plain,
    ( ~ spl3_13
    | ~ spl3_48 ),
    inference(avatar_split_clause,[],[f3244,f407,f255]) ).

fof(f255,plain,
    ( spl3_13
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f407,plain,
    ( spl3_48
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).

fof(f3244,plain,
    ( e0 != op(e3,e1)
    | ~ spl3_48 ),
    inference(forward_demodulation,[],[f75,f409]) ).

fof(f409,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_48 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f3238,plain,
    ( ~ spl3_49
    | ~ spl3_48 ),
    inference(avatar_split_clause,[],[f3237,f407,f411]) ).

fof(f3237,plain,
    ( e0 != op(e0,e3)
    | ~ spl3_48 ),
    inference(forward_demodulation,[],[f84,f409]) ).

fof(f84,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3222,plain,
    ( ~ spl3_5
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f3221,f281,f221]) ).

fof(f281,plain,
    ( spl3_19
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f3221,plain,
    ( e2 != op(e1,e0)
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f71,f283]) ).

fof(f283,plain,
    ( e2 = op(e1,e2)
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f71,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3213,plain,
    ( spl3_52
    | ~ spl3_10
    | ~ spl3_107 ),
    inference(avatar_split_clause,[],[f3212,f714,f243,f425]) ).

fof(f425,plain,
    ( spl3_52
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).

fof(f714,plain,
    ( spl3_107
  <=> e3 = op(op(e3,e1),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).

fof(f3212,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_10
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f716,f245]) ).

fof(f245,plain,
    ( e1 = op(e3,e1)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f716,plain,
    ( e3 = op(op(e3,e1),op(e3,e1))
    | ~ spl3_107 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f3193,plain,
    ( ~ spl3_16
    | ~ spl3_35 ),
    inference(avatar_split_clause,[],[f3192,f350,f268]) ).

fof(f268,plain,
    ( spl3_16
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f3192,plain,
    ( e2 != op(e3,e2)
    | ~ spl3_35 ),
    inference(forward_demodulation,[],[f73,f352]) ).

fof(f73,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3184,plain,
    ( ~ spl3_18
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f3183,f281,f277]) ).

fof(f277,plain,
    ( spl3_18
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f3183,plain,
    ( e2 != op(e0,e2)
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f97,f283]) ).

fof(f3181,plain,
    ( ~ spl3_5
    | ~ spl3_35 ),
    inference(avatar_split_clause,[],[f3179,f350,f221]) ).

fof(f3179,plain,
    ( e2 != op(e1,e0)
    | ~ spl3_35 ),
    inference(backward_demodulation,[],[f107,f352]) ).

fof(f107,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3178,plain,
    ( ~ spl3_41
    | ~ spl3_21
    | spl3_73 ),
    inference(avatar_split_clause,[],[f3177,f523,f290,f377]) ).

fof(f3177,plain,
    ( e3 != op(e0,e2)
    | ~ spl3_21
    | spl3_73 ),
    inference(backward_demodulation,[],[f525,f292]) ).

fof(f292,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f3174,plain,
    ( spl3_36
    | ~ spl3_89
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f3173,f645,f601,f355]) ).

fof(f601,plain,
    ( spl3_89
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).

fof(f645,plain,
    ( spl3_96
  <=> e2 = op(op(e2,e3),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_96])]) ).

fof(f3173,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_89
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f647,f603]) ).

fof(f603,plain,
    ( e3 = op(e2,e3)
    | ~ spl3_89 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f647,plain,
    ( e2 = op(op(e2,e3),op(e2,e3))
    | ~ spl3_96 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f3166,plain,
    ( spl3_21
    | ~ spl3_30
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f3165,f439,f328,f290]) ).

fof(f328,plain,
    ( spl3_30
  <=> e0 = op(op(e0,e3),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f439,plain,
    ( spl3_55
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).

fof(f3165,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_30
    | ~ spl3_55 ),
    inference(forward_demodulation,[],[f330,f441]) ).

fof(f441,plain,
    ( e2 = op(e0,e3)
    | ~ spl3_55 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f330,plain,
    ( e0 = op(op(e0,e3),op(e0,e3))
    | ~ spl3_30 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f3162,plain,
    ( ~ spl3_20
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f3161,f281,f285]) ).

fof(f3161,plain,
    ( e2 != op(e2,e2)
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f68,f283]) ).

fof(f68,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3160,plain,
    ( ~ spl3_18
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f3159,f439,f277]) ).

fof(f3159,plain,
    ( e2 != op(e0,e2)
    | ~ spl3_55 ),
    inference(forward_demodulation,[],[f98,f441]) ).

fof(f3156,plain,
    ( ~ spl3_16
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f3154,f281,f268]) ).

fof(f3154,plain,
    ( e2 != op(e3,e2)
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f101,f283]) ).

fof(f101,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3151,plain,
    ( ~ spl3_58
    | ~ spl3_89 ),
    inference(avatar_split_clause,[],[f3150,f601,f452]) ).

fof(f3150,plain,
    ( e3 != op(e2,e2)
    | ~ spl3_89 ),
    inference(backward_demodulation,[],[f66,f603]) ).

fof(f3149,plain,
    ( spl3_27
    | ~ spl3_88
    | ~ spl3_93 ),
    inference(avatar_contradiction_clause,[],[f3148]) ).

fof(f3148,plain,
    ( $false
    | spl3_27
    | ~ spl3_88
    | ~ spl3_93 ),
    inference(subsumption_resolution,[],[f3147,f316]) ).

fof(f316,plain,
    ( e1 != op(e1,e1)
    | spl3_27 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f315,plain,
    ( spl3_27
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).

fof(f3147,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_88
    | ~ spl3_93 ),
    inference(forward_demodulation,[],[f626,f597]) ).

fof(f597,plain,
    ( e1 = op(e1,e3)
    | ~ spl3_88 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f3146,plain,
    ( ~ spl3_56
    | ~ spl3_88 ),
    inference(avatar_split_clause,[],[f3145,f595,f443]) ).

fof(f3145,plain,
    ( e1 != op(e0,e3)
    | ~ spl3_88 ),
    inference(forward_demodulation,[],[f92,f597]) ).

fof(f92,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3132,plain,
    ( ~ spl3_42
    | spl3_48
    | ~ spl3_104 ),
    inference(avatar_contradiction_clause,[],[f3131]) ).

fof(f3131,plain,
    ( $false
    | ~ spl3_42
    | spl3_48
    | ~ spl3_104 ),
    inference(subsumption_resolution,[],[f3127,f408]) ).

fof(f408,plain,
    ( e0 != op(e3,e3)
    | spl3_48 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f3127,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_42
    | ~ spl3_104 ),
    inference(backward_demodulation,[],[f698,f383]) ).

fof(f3119,plain,
    ( spl3_42
    | ~ spl3_17
    | ~ spl3_82 ),
    inference(avatar_split_clause,[],[f3118,f568,f272,f381]) ).

fof(f272,plain,
    ( spl3_17
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f568,plain,
    ( spl3_82
  <=> e3 = op(op(e3,e2),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).

fof(f3118,plain,
    ( op(e0,e0) = e3
    | ~ spl3_17
    | ~ spl3_82 ),
    inference(forward_demodulation,[],[f570,f274]) ).

fof(f274,plain,
    ( e0 = op(e3,e2)
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f570,plain,
    ( e3 = op(op(e3,e2),op(e3,e2))
    | ~ spl3_82 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f3085,plain,
    ( ~ spl3_36
    | ~ spl3_61 ),
    inference(avatar_contradiction_clause,[],[f3084]) ).

fof(f3084,plain,
    ( $false
    | ~ spl3_36
    | ~ spl3_61 ),
    inference(subsumption_resolution,[],[f3083,f467]) ).

fof(f3083,plain,
    ( e2 != op(e2,e3)
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f83,f356]) ).

fof(f83,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3078,plain,
    ( spl3_76
    | ~ spl3_2
    | ~ spl3_81 ),
    inference(avatar_split_clause,[],[f3077,f561,f208,f537]) ).

fof(f561,plain,
    ( spl3_81
  <=> e1 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).

fof(f3077,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_2
    | ~ spl3_81 ),
    inference(backward_demodulation,[],[f563,f209]) ).

fof(f563,plain,
    ( e1 = op(op(e1,e1),op(e1,e1))
    | ~ spl3_81 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f3068,plain,
    ( spl3_52
    | ~ spl3_94
    | ~ spl3_97 ),
    inference(avatar_contradiction_clause,[],[f3067]) ).

fof(f3067,plain,
    ( $false
    | spl3_52
    | ~ spl3_94
    | ~ spl3_97 ),
    inference(subsumption_resolution,[],[f3064,f427]) ).

fof(f427,plain,
    ( e3 != op(e1,e1)
    | spl3_52 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f3064,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_94
    | ~ spl3_97 ),
    inference(backward_demodulation,[],[f652,f631]) ).

fof(f631,plain,
    ( e1 = op(e3,e0)
    | ~ spl3_94 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f3056,plain,
    ( ~ spl3_36
    | ~ spl3_71 ),
    inference(avatar_contradiction_clause,[],[f3055]) ).

fof(f3055,plain,
    ( $false
    | ~ spl3_36
    | ~ spl3_71 ),
    inference(subsumption_resolution,[],[f3054,f201]) ).

fof(f3054,plain,
    ( e2 = e3
    | ~ spl3_36
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f516,f356]) ).

fof(f516,plain,
    ( e3 = op(e3,e3)
    | ~ spl3_71 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f514,plain,
    ( spl3_71
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).

fof(f3050,plain,
    ( ~ spl3_17
    | ~ spl3_51 ),
    inference(avatar_contradiction_clause,[],[f3049]) ).

fof(f3049,plain,
    ( $false
    | ~ spl3_17
    | ~ spl3_51 ),
    inference(subsumption_resolution,[],[f3048,f422]) ).

fof(f422,plain,
    ( e0 = op(e1,e2)
    | ~ spl3_51 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl3_51
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).

fof(f3048,plain,
    ( e0 != op(e1,e2)
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f101,f274]) ).

fof(f3021,plain,
    ( ~ spl3_16
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f3018,f355,f268]) ).

fof(f3018,plain,
    ( e2 != op(e3,e2)
    | ~ spl3_36 ),
    inference(backward_demodulation,[],[f108,f356]) ).

fof(f108,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3016,plain,
    ( spl3_31
    | ~ spl3_24
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f3015,f434,f302,f333]) ).

fof(f302,plain,
    ( spl3_24
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f3015,plain,
    ( op(e0,e0) = e2
    | ~ spl3_24
    | ~ spl3_54 ),
    inference(forward_demodulation,[],[f436,f304]) ).

fof(f304,plain,
    ( e0 = op(e2,e0)
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f3006,plain,
    ( ~ spl3_31
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f2953,f221,f333]) ).

fof(f2953,plain,
    ( op(e0,e0) != e2
    | ~ spl3_5 ),
    inference(forward_demodulation,[],[f67,f223]) ).

fof(f223,plain,
    ( e2 = op(e1,e0)
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f3005,plain,
    ( spl3_76
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f3004,f234,f221,f537]) ).

fof(f234,plain,
    ( spl3_8
  <=> e1 = op(op(e1,e0),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f3004,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f236,f223]) ).

fof(f236,plain,
    ( e1 = op(op(e1,e0),op(e1,e0))
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f2998,plain,
    ( ~ spl3_20
    | ~ spl3_73 ),
    inference(avatar_contradiction_clause,[],[f2997]) ).

fof(f2997,plain,
    ( $false
    | ~ spl3_20
    | ~ spl3_73 ),
    inference(subsumption_resolution,[],[f2996,f201]) ).

fof(f2996,plain,
    ( e2 = e3
    | ~ spl3_20
    | ~ spl3_73 ),
    inference(forward_demodulation,[],[f2994,f287]) ).

fof(f2994,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_20
    | ~ spl3_73 ),
    inference(backward_demodulation,[],[f524,f287]) ).

fof(f524,plain,
    ( e3 = op(op(e2,e2),e2)
    | ~ spl3_73 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f2946,plain,
    ( ~ spl3_83
    | ~ spl3_51 ),
    inference(avatar_split_clause,[],[f2945,f420,f573]) ).

fof(f2945,plain,
    ( e0 != op(e0,e2)
    | ~ spl3_51 ),
    inference(forward_demodulation,[],[f97,f422]) ).

fof(f2919,plain,
    ( ~ spl3_25
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f2917,f541,f307]) ).

fof(f307,plain,
    ( spl3_25
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f541,plain,
    ( spl3_77
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).

fof(f2917,plain,
    ( e1 != op(e2,e1)
    | ~ spl3_77 ),
    inference(backward_demodulation,[],[f100,f543]) ).

fof(f543,plain,
    ( e1 = op(e2,e3)
    | ~ spl3_77 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f100,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2915,plain,
    ( ~ spl3_6
    | ~ spl3_51 ),
    inference(avatar_split_clause,[],[f2912,f420,f225]) ).

fof(f225,plain,
    ( spl3_6
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f2912,plain,
    ( e0 != op(e1,e0)
    | ~ spl3_51 ),
    inference(backward_demodulation,[],[f71,f422]) ).

fof(f2910,plain,
    ( ~ spl3_14
    | spl3_38
    | ~ spl3_48
    | ~ spl3_55 ),
    inference(avatar_contradiction_clause,[],[f2909]) ).

fof(f2909,plain,
    ( $false
    | ~ spl3_14
    | spl3_38
    | ~ spl3_48
    | ~ spl3_55 ),
    inference(subsumption_resolution,[],[f2908,f262]) ).

fof(f262,plain,
    ( e1 = op(e3,e2)
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl3_14
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f2908,plain,
    ( e1 != op(e3,e2)
    | spl3_38
    | ~ spl3_48
    | ~ spl3_55 ),
    inference(forward_demodulation,[],[f2861,f441]) ).

fof(f2861,plain,
    ( e1 != op(e3,op(e0,e3))
    | spl3_38
    | ~ spl3_48 ),
    inference(forward_demodulation,[],[f365,f409]) ).

fof(f365,plain,
    ( e1 != op(e3,op(op(e3,e3),e3))
    | spl3_38 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f363,plain,
    ( spl3_38
  <=> e1 = op(e3,op(op(e3,e3),e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).

fof(f2903,plain,
    ( ~ spl3_75
    | ~ spl3_98 ),
    inference(avatar_split_clause,[],[f2902,f657,f532]) ).

fof(f657,plain,
    ( spl3_98
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_98])]) ).

fof(f2902,plain,
    ( e3 != op(e2,e0)
    | ~ spl3_98 ),
    inference(forward_demodulation,[],[f94,f659]) ).

fof(f659,plain,
    ( e3 = op(e3,e0)
    | ~ spl3_98 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f2899,plain,
    ( spl3_58
    | ~ spl3_11
    | ~ spl3_107 ),
    inference(avatar_split_clause,[],[f2878,f714,f247,f452]) ).

fof(f247,plain,
    ( spl3_11
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f2878,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_11
    | ~ spl3_107 ),
    inference(backward_demodulation,[],[f716,f249]) ).

fof(f249,plain,
    ( e2 = op(e3,e1)
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f2881,plain,
    ( ~ spl3_11
    | ~ spl3_76
    | ~ spl3_107 ),
    inference(avatar_contradiction_clause,[],[f2880]) ).

fof(f2880,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_76
    | ~ spl3_107 ),
    inference(subsumption_resolution,[],[f2879,f197]) ).

fof(f2879,plain,
    ( e1 = e3
    | ~ spl3_11
    | ~ spl3_76
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f2878,f539]) ).

fof(f2855,plain,
    ( ~ spl3_23
    | spl3_31
    | ~ spl3_105 ),
    inference(avatar_contradiction_clause,[],[f2854]) ).

fof(f2854,plain,
    ( $false
    | ~ spl3_23
    | spl3_31
    | ~ spl3_105 ),
    inference(subsumption_resolution,[],[f2851,f335]) ).

fof(f335,plain,
    ( op(e0,e0) != e2
    | spl3_31 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f2851,plain,
    ( op(e0,e0) = e2
    | ~ spl3_23
    | ~ spl3_105 ),
    inference(backward_demodulation,[],[f704,f300]) ).

fof(f300,plain,
    ( e0 = op(e2,e1)
    | ~ spl3_23 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl3_23
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f704,plain,
    ( e2 = op(op(e2,e1),op(e2,e1))
    | ~ spl3_105 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f702,plain,
    ( spl3_105
  <=> e2 = op(op(e2,e1),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).

fof(f2841,plain,
    ( ~ spl3_2
    | ~ spl3_86 ),
    inference(avatar_split_clause,[],[f2840,f587,f208]) ).

fof(f587,plain,
    ( spl3_86
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).

fof(f2840,plain,
    ( e2 != op(e1,e1)
    | ~ spl3_86 ),
    inference(forward_demodulation,[],[f76,f589]) ).

fof(f589,plain,
    ( e2 = op(e1,e3)
    | ~ spl3_86 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f76,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2830,plain,
    ( ~ spl3_55
    | ~ spl3_48
    | spl3_101 ),
    inference(avatar_split_clause,[],[f2829,f672,f407,f439]) ).

fof(f672,plain,
    ( spl3_101
  <=> e2 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_101])]) ).

fof(f2829,plain,
    ( e2 != op(e0,e3)
    | ~ spl3_48
    | spl3_101 ),
    inference(backward_demodulation,[],[f674,f409]) ).

fof(f674,plain,
    ( e2 != op(op(e3,e3),e3)
    | spl3_101 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f2813,plain,
    ( ~ spl3_42
    | ~ spl3_98 ),
    inference(avatar_split_clause,[],[f2810,f657,f381]) ).

fof(f2810,plain,
    ( op(e0,e0) != e3
    | ~ spl3_98 ),
    inference(backward_demodulation,[],[f85,f659]) ).

fof(f85,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2808,plain,
    ( ~ spl3_43
    | ~ spl3_89 ),
    inference(avatar_split_clause,[],[f2805,f601,f385]) ).

fof(f2805,plain,
    ( e3 != op(e0,e3)
    | ~ spl3_89 ),
    inference(backward_demodulation,[],[f64,f603]) ).

fof(f64,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2799,plain,
    ( spl3_2
    | ~ spl3_76
    | ~ spl3_95 ),
    inference(avatar_split_clause,[],[f2616,f636,f537,f208]) ).

fof(f2616,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_76
    | ~ spl3_95 ),
    inference(backward_demodulation,[],[f638,f539]) ).

fof(f638,plain,
    ( e2 = op(op(e2,e2),op(e2,e2))
    | ~ spl3_95 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f2796,plain,
    ( ~ spl3_42
    | ~ spl3_44 ),
    inference(avatar_split_clause,[],[f2795,f389,f381]) ).

fof(f389,plain,
    ( spl3_44
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).

fof(f2795,plain,
    ( op(e0,e0) != e3
    | ~ spl3_44 ),
    inference(forward_demodulation,[],[f103,f391]) ).

fof(f391,plain,
    ( e3 = op(e0,e1)
    | ~ spl3_44 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f2786,plain,
    ( ~ spl3_44
    | spl3_66
    | ~ spl3_78 ),
    inference(avatar_contradiction_clause,[],[f2785]) ).

fof(f2785,plain,
    ( $false
    | ~ spl3_44
    | spl3_66
    | ~ spl3_78 ),
    inference(subsumption_resolution,[],[f2784,f391]) ).

fof(f2784,plain,
    ( e3 != op(e0,e1)
    | spl3_66
    | ~ spl3_78 ),
    inference(backward_demodulation,[],[f493,f547]) ).

fof(f547,plain,
    ( e1 = op(op(e0,e0),e0)
    | ~ spl3_78 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f546,plain,
    ( spl3_78
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).

fof(f493,plain,
    ( e3 != op(e0,op(op(e0,e0),e0))
    | spl3_66 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f491,plain,
    ( spl3_66
  <=> e3 = op(e0,op(op(e0,e0),e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).

fof(f2750,plain,
    ( ~ spl3_75
    | ~ spl3_80 ),
    inference(avatar_contradiction_clause,[],[f2749]) ).

fof(f2749,plain,
    ( $false
    | ~ spl3_75
    | ~ spl3_80 ),
    inference(subsumption_resolution,[],[f2748,f534]) ).

fof(f2748,plain,
    ( e3 != op(e2,e0)
    | ~ spl3_80 ),
    inference(forward_demodulation,[],[f104,f558]) ).

fof(f558,plain,
    ( e3 = op(e2,e1)
    | ~ spl3_80 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f556,plain,
    ( spl3_80
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).

fof(f104,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2747,plain,
    ( ~ spl3_5
    | ~ spl3_6 ),
    inference(avatar_contradiction_clause,[],[f2746]) ).

fof(f2746,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_6 ),
    inference(subsumption_resolution,[],[f2745,f199]) ).

fof(f199,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f2745,plain,
    ( e0 = e2
    | ~ spl3_5
    | ~ spl3_6 ),
    inference(forward_demodulation,[],[f223,f227]) ).

fof(f227,plain,
    ( e0 = op(e1,e0)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f2744,plain,
    ( ~ spl3_43
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f2741,f381,f385]) ).

fof(f2741,plain,
    ( e3 != op(e0,e3)
    | ~ spl3_42 ),
    inference(backward_demodulation,[],[f86,f383]) ).

fof(f2718,plain,
    ( ~ spl3_25
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f2717,f537,f307]) ).

fof(f2717,plain,
    ( e1 != op(e2,e1)
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f89,f539]) ).

fof(f2714,plain,
    ( ~ spl3_56
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f2713,f311,f443]) ).

fof(f311,plain,
    ( spl3_26
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f2713,plain,
    ( e1 != op(e0,e3)
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f90,f313]) ).

fof(f313,plain,
    ( e1 = op(e0,e1)
    | ~ spl3_26 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f90,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2687,plain,
    ( spl3_36
    | ~ spl3_80
    | ~ spl3_105 ),
    inference(avatar_split_clause,[],[f2686,f702,f556,f355]) ).

fof(f2686,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_80
    | ~ spl3_105 ),
    inference(backward_demodulation,[],[f704,f558]) ).

fof(f2677,plain,
    ( ~ spl3_26
    | spl3_50
    | ~ spl3_103 ),
    inference(avatar_contradiction_clause,[],[f2676]) ).

fof(f2676,plain,
    ( $false
    | ~ spl3_26
    | spl3_50
    | ~ spl3_103 ),
    inference(subsumption_resolution,[],[f2675,f417]) ).

fof(f417,plain,
    ( e0 != op(e1,e1)
    | spl3_50 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f2675,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_26
    | ~ spl3_103 ),
    inference(forward_demodulation,[],[f693,f313]) ).

fof(f693,plain,
    ( e0 = op(op(e0,e1),op(e0,e1))
    | ~ spl3_103 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f691,plain,
    ( spl3_103
  <=> e0 = op(op(e0,e1),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).

fof(f2674,plain,
    ( ~ spl3_25
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f2673,f311,f307]) ).

fof(f2673,plain,
    ( e1 != op(e2,e1)
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f77,f313]) ).

fof(f77,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2643,plain,
    ( ~ spl3_51
    | spl3_65
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f2642]) ).

fof(f2642,plain,
    ( $false
    | ~ spl3_51
    | spl3_65
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f2639,f489]) ).

fof(f489,plain,
    ( op(e0,e0) != e1
    | spl3_65 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f2639,plain,
    ( op(e0,e0) = e1
    | ~ spl3_51
    | ~ spl3_106 ),
    inference(backward_demodulation,[],[f710,f422]) ).

fof(f710,plain,
    ( e1 = op(op(e1,e2),op(e1,e2))
    | ~ spl3_106 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f708,plain,
    ( spl3_106
  <=> e1 = op(op(e1,e2),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).

fof(f2623,plain,
    ( ~ spl3_21
    | ~ spl3_31
    | spl3_104 ),
    inference(avatar_split_clause,[],[f2622,f696,f333,f290]) ).

fof(f2622,plain,
    ( e0 != op(e2,e2)
    | ~ spl3_31
    | spl3_104 ),
    inference(forward_demodulation,[],[f697,f334]) ).

fof(f334,plain,
    ( op(e0,e0) = e2
    | ~ spl3_31 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f697,plain,
    ( e0 != op(op(e0,e0),op(e0,e0))
    | spl3_104 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f2581,plain,
    ( ~ spl3_16
    | spl3_58
    | ~ spl3_82 ),
    inference(avatar_contradiction_clause,[],[f2580]) ).

fof(f2580,plain,
    ( $false
    | ~ spl3_16
    | spl3_58
    | ~ spl3_82 ),
    inference(subsumption_resolution,[],[f2501,f454]) ).

fof(f2501,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_16
    | ~ spl3_82 ),
    inference(forward_demodulation,[],[f570,f270]) ).

fof(f270,plain,
    ( e2 = op(e3,e2)
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f2560,plain,
    ( ~ spl3_20
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f2559,f268,f285]) ).

fof(f2559,plain,
    ( e2 != op(e2,e2)
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f70,f270]) ).

fof(f70,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2544,plain,
    ( ~ spl3_21
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f2543,f298,f290]) ).

fof(f2543,plain,
    ( e0 != op(e2,e2)
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f89,f300]) ).

fof(f2489,plain,
    ( ~ spl3_21
    | ~ spl3_86
    | ~ spl3_93 ),
    inference(avatar_contradiction_clause,[],[f2488]) ).

fof(f2488,plain,
    ( $false
    | ~ spl3_21
    | ~ spl3_86
    | ~ spl3_93 ),
    inference(subsumption_resolution,[],[f2487,f200]) ).

fof(f200,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f2487,plain,
    ( e0 = e1
    | ~ spl3_21
    | ~ spl3_86
    | ~ spl3_93 ),
    inference(forward_demodulation,[],[f2486,f292]) ).

fof(f2486,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_86
    | ~ spl3_93 ),
    inference(forward_demodulation,[],[f626,f589]) ).

fof(f2484,plain,
    ( ~ spl3_21
    | ~ spl3_76 ),
    inference(avatar_contradiction_clause,[],[f2483]) ).

fof(f2483,plain,
    ( $false
    | ~ spl3_21
    | ~ spl3_76 ),
    inference(subsumption_resolution,[],[f2482,f200]) ).

fof(f2482,plain,
    ( e0 = e1
    | ~ spl3_21
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f539,f292]) ).

fof(f2457,plain,
    ( ~ spl3_89
    | ~ spl3_80 ),
    inference(avatar_split_clause,[],[f2456,f556,f601]) ).

fof(f2456,plain,
    ( e3 != op(e2,e3)
    | ~ spl3_80 ),
    inference(forward_demodulation,[],[f100,f558]) ).

fof(f2453,plain,
    ( ~ spl3_21
    | ~ spl3_65
    | ~ spl3_95 ),
    inference(avatar_contradiction_clause,[],[f2452]) ).

fof(f2452,plain,
    ( $false
    | ~ spl3_21
    | ~ spl3_65
    | ~ spl3_95 ),
    inference(subsumption_resolution,[],[f2451,f198]) ).

fof(f198,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f2451,plain,
    ( e1 = e2
    | ~ spl3_21
    | ~ spl3_65
    | ~ spl3_95 ),
    inference(forward_demodulation,[],[f2450,f488]) ).

fof(f2450,plain,
    ( op(e0,e0) = e2
    | ~ spl3_21
    | ~ spl3_95 ),
    inference(forward_demodulation,[],[f638,f292]) ).

fof(f2447,plain,
    ( ~ spl3_94
    | ~ spl3_65 ),
    inference(avatar_split_clause,[],[f2446,f487,f629]) ).

fof(f2446,plain,
    ( e1 != op(e3,e0)
    | ~ spl3_65 ),
    inference(forward_demodulation,[],[f85,f488]) ).

fof(f2406,plain,
    ( ~ spl3_39
    | ~ spl3_77 ),
    inference(avatar_contradiction_clause,[],[f2405]) ).

fof(f2405,plain,
    ( $false
    | ~ spl3_39
    | ~ spl3_77 ),
    inference(subsumption_resolution,[],[f2404,f543]) ).

fof(f2404,plain,
    ( e1 != op(e2,e3)
    | ~ spl3_39 ),
    inference(forward_demodulation,[],[f83,f369]) ).

fof(f2368,plain,
    ( ~ spl3_22
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f2367,f411,f294]) ).

fof(f2367,plain,
    ( e0 != op(e2,e3)
    | ~ spl3_49 ),
    inference(forward_demodulation,[],[f64,f413]) ).

fof(f2357,plain,
    ( ~ spl3_11
    | ~ spl3_45 ),
    inference(avatar_split_clause,[],[f2356,f394,f247]) ).

fof(f2356,plain,
    ( e2 != op(e3,e1)
    | ~ spl3_45 ),
    inference(forward_demodulation,[],[f69,f396]) ).

fof(f69,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2339,plain,
    ( spl3_65
    | ~ spl3_6
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f2337,f234,f225,f487]) ).

fof(f2337,plain,
    ( op(e0,e0) = e1
    | ~ spl3_6
    | ~ spl3_8 ),
    inference(backward_demodulation,[],[f236,f227]) ).

fof(f2328,plain,
    ( spl3_39
    | ~ spl3_52
    | ~ spl3_81 ),
    inference(avatar_split_clause,[],[f2272,f561,f425,f368]) ).

fof(f2272,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_52
    | ~ spl3_81 ),
    inference(forward_demodulation,[],[f563,f426]) ).

fof(f426,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_52 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f2323,plain,
    ( ~ spl3_60
    | ~ spl3_34 ),
    inference(avatar_split_clause,[],[f2322,f346,f461]) ).

fof(f346,plain,
    ( spl3_34
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).

fof(f2322,plain,
    ( e2 != op(e2,e1)
    | ~ spl3_34 ),
    inference(forward_demodulation,[],[f104,f348]) ).

fof(f348,plain,
    ( e2 = op(e2,e0)
    | ~ spl3_34 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f2313,plain,
    ( ~ spl3_5
    | ~ spl3_34 ),
    inference(avatar_split_clause,[],[f2312,f346,f221]) ).

fof(f2312,plain,
    ( e2 != op(e1,e0)
    | ~ spl3_34 ),
    inference(forward_demodulation,[],[f78,f348]) ).

fof(f2220,plain,
    ( spl3_2
    | ~ spl3_25
    | ~ spl3_105 ),
    inference(avatar_split_clause,[],[f2219,f702,f307,f208]) ).

fof(f2219,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_25
    | ~ spl3_105 ),
    inference(forward_demodulation,[],[f704,f309]) ).

fof(f309,plain,
    ( e1 = op(e2,e1)
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f2211,plain,
    ( ~ spl3_36
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f2210,f247,f355]) ).

fof(f2210,plain,
    ( e2 != op(e3,e3)
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f75,f249]) ).

fof(f2192,plain,
    ( ~ spl3_36
    | ~ spl3_86 ),
    inference(avatar_split_clause,[],[f2191,f587,f355]) ).

fof(f2191,plain,
    ( e2 != op(e3,e3)
    | ~ spl3_86 ),
    inference(forward_demodulation,[],[f105,f589]) ).

fof(f2177,plain,
    ( ~ spl3_31
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f2176,f277,f333]) ).

fof(f2176,plain,
    ( op(e0,e0) != e2
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f87,f279]) ).

fof(f279,plain,
    ( e2 = op(e0,e2)
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f2173,plain,
    ( ~ spl3_2
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f2172,f247,f208]) ).

fof(f2172,plain,
    ( e2 != op(e1,e1)
    | ~ spl3_11 ),
    inference(backward_demodulation,[],[f106,f249]) ).

fof(f106,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2166,plain,
    ( spl3_20
    | ~ spl3_60
    | ~ spl3_105 ),
    inference(avatar_contradiction_clause,[],[f2165]) ).

fof(f2165,plain,
    ( $false
    | spl3_20
    | ~ spl3_60
    | ~ spl3_105 ),
    inference(subsumption_resolution,[],[f2164,f286]) ).

fof(f286,plain,
    ( e2 != op(e2,e2)
    | spl3_20 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f2164,plain,
    ( e2 = op(e2,e2)
    | ~ spl3_60
    | ~ spl3_105 ),
    inference(backward_demodulation,[],[f704,f463]) ).

fof(f463,plain,
    ( e2 = op(e2,e1)
    | ~ spl3_60 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f2096,plain,
    ( ~ spl3_34
    | ~ spl3_31 ),
    inference(avatar_split_clause,[],[f2095,f333,f346]) ).

fof(f2095,plain,
    ( e2 != op(e2,e0)
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f102,f334]) ).

fof(f2089,plain,
    ( ~ spl3_56
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f1998,f368,f443]) ).

fof(f1998,plain,
    ( e1 != op(e0,e3)
    | ~ spl3_39 ),
    inference(forward_demodulation,[],[f84,f369]) ).

fof(f2074,plain,
    ( ~ spl3_98
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f2073,f217,f657]) ).

fof(f2073,plain,
    ( e3 != op(e3,e0)
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f107,f219]) ).

fof(f219,plain,
    ( e3 = op(e1,e0)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f2037,plain,
    ( ~ spl3_77
    | ~ spl3_21
    | ~ spl3_41
    | spl3_72 ),
    inference(avatar_split_clause,[],[f2036,f519,f377,f290,f541]) ).

fof(f519,plain,
    ( spl3_72
  <=> e1 = op(e2,op(op(e2,e2),e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).

fof(f2036,plain,
    ( e1 != op(e2,e3)
    | ~ spl3_21
    | ~ spl3_41
    | spl3_72 ),
    inference(forward_demodulation,[],[f2035,f379]) ).

fof(f379,plain,
    ( e3 = op(e0,e2)
    | ~ spl3_41 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f2035,plain,
    ( e1 != op(e2,op(e0,e2))
    | ~ spl3_21
    | spl3_72 ),
    inference(forward_demodulation,[],[f521,f292]) ).

fof(f521,plain,
    ( e1 != op(e2,op(op(e2,e2),e2))
    | spl3_72 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f2016,plain,
    ( ~ spl3_41
    | spl3_48
    | ~ spl3_99 ),
    inference(avatar_contradiction_clause,[],[f2015]) ).

fof(f2015,plain,
    ( $false
    | ~ spl3_41
    | spl3_48
    | ~ spl3_99 ),
    inference(subsumption_resolution,[],[f2012,f408]) ).

fof(f2012,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_41
    | ~ spl3_99 ),
    inference(backward_demodulation,[],[f664,f379]) ).

fof(f1980,plain,
    ( ~ spl3_87
    | ~ spl3_89 ),
    inference(avatar_split_clause,[],[f1978,f601,f591]) ).

fof(f1978,plain,
    ( e3 != op(e1,e3)
    | ~ spl3_89 ),
    inference(backward_demodulation,[],[f91,f603]) ).

fof(f91,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1973,plain,
    ( ~ spl3_17
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f1969,f290,f272]) ).

fof(f1969,plain,
    ( e0 != op(e3,e2)
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f70,f292]) ).

fof(f1959,plain,
    ( ~ spl3_47
    | ~ spl3_50 ),
    inference(avatar_split_clause,[],[f1958,f416,f403]) ).

fof(f1958,plain,
    ( e0 != op(e1,e3)
    | ~ spl3_50 ),
    inference(forward_demodulation,[],[f76,f418]) ).

fof(f418,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_50 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f1944,plain,
    ( ~ spl3_86
    | ~ spl3_44
    | ~ spl3_50
    | spl3_62 ),
    inference(avatar_split_clause,[],[f1751,f470,f416,f389,f587]) ).

fof(f470,plain,
    ( spl3_62
  <=> e2 = op(e1,op(op(e1,e1),e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).

fof(f1751,plain,
    ( e2 != op(e1,e3)
    | ~ spl3_44
    | ~ spl3_50
    | spl3_62 ),
    inference(backward_demodulation,[],[f1737,f391]) ).

fof(f1737,plain,
    ( e2 != op(e1,op(e0,e1))
    | ~ spl3_50
    | spl3_62 ),
    inference(forward_demodulation,[],[f472,f418]) ).

fof(f472,plain,
    ( e2 != op(e1,op(op(e1,e1),e1))
    | spl3_62 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f1939,plain,
    ( ~ spl3_76
    | ~ spl3_85 ),
    inference(avatar_contradiction_clause,[],[f1938]) ).

fof(f1938,plain,
    ( $false
    | ~ spl3_76
    | ~ spl3_85 ),
    inference(subsumption_resolution,[],[f1937,f584]) ).

fof(f584,plain,
    ( e1 = op(e1,e2)
    | ~ spl3_85 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f582,plain,
    ( spl3_85
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).

fof(f1937,plain,
    ( e1 != op(e1,e2)
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f68,f539]) ).

fof(f1895,plain,
    ( ~ spl3_18
    | spl3_21
    | ~ spl3_99 ),
    inference(avatar_contradiction_clause,[],[f1894]) ).

fof(f1894,plain,
    ( $false
    | ~ spl3_18
    | spl3_21
    | ~ spl3_99 ),
    inference(subsumption_resolution,[],[f1893,f291]) ).

fof(f291,plain,
    ( e0 != op(e2,e2)
    | spl3_21 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f1893,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_18
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f664,f279]) ).

fof(f1874,plain,
    ( ~ spl3_25
    | ~ spl3_60 ),
    inference(avatar_contradiction_clause,[],[f1873]) ).

fof(f1873,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_60 ),
    inference(subsumption_resolution,[],[f1872,f198]) ).

fof(f1872,plain,
    ( e1 = e2
    | ~ spl3_25
    | ~ spl3_60 ),
    inference(backward_demodulation,[],[f463,f309]) ).

fof(f1869,plain,
    ( ~ spl3_94
    | ~ spl3_22
    | ~ spl3_36
    | spl3_38 ),
    inference(avatar_split_clause,[],[f1851,f363,f355,f294,f629]) ).

fof(f1851,plain,
    ( e1 != op(e3,e0)
    | ~ spl3_22
    | ~ spl3_36
    | spl3_38 ),
    inference(forward_demodulation,[],[f1850,f296]) ).

fof(f1850,plain,
    ( e1 != op(e3,op(e2,e3))
    | ~ spl3_36
    | spl3_38 ),
    inference(forward_demodulation,[],[f365,f356]) ).

fof(f1843,plain,
    ( spl3_39
    | ~ spl3_63
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1842]) ).

fof(f1842,plain,
    ( $false
    | spl3_39
    | ~ spl3_63
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1841,f370]) ).

fof(f1841,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_63
    | ~ spl3_106 ),
    inference(backward_demodulation,[],[f710,f477]) ).

fof(f1813,plain,
    ( ~ spl3_63
    | ~ spl3_58 ),
    inference(avatar_split_clause,[],[f1354,f452,f475]) ).

fof(f1354,plain,
    ( e3 != op(e1,e2)
    | ~ spl3_58 ),
    inference(forward_demodulation,[],[f68,f453]) ).

fof(f453,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_58 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f1783,plain,
    ( ~ spl3_87
    | ~ spl3_88 ),
    inference(avatar_contradiction_clause,[],[f1782]) ).

fof(f1782,plain,
    ( $false
    | ~ spl3_87
    | ~ spl3_88 ),
    inference(subsumption_resolution,[],[f1781,f197]) ).

fof(f1781,plain,
    ( e1 = e3
    | ~ spl3_87
    | ~ spl3_88 ),
    inference(forward_demodulation,[],[f593,f597]) ).

fof(f1779,plain,
    ( ~ spl3_35
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f1778,f355,f350]) ).

fof(f1778,plain,
    ( e2 != op(e3,e0)
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f62,f356]) ).

fof(f62,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1774,plain,
    ( ~ spl3_84
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f1773,f443,f577]) ).

fof(f1773,plain,
    ( e1 != op(e0,e2)
    | ~ spl3_56 ),
    inference(forward_demodulation,[],[f98,f445]) ).

fof(f1759,plain,
    ( ~ spl3_15
    | ~ spl3_58 ),
    inference(avatar_split_clause,[],[f1758,f452,f264]) ).

fof(f1758,plain,
    ( e3 != op(e3,e2)
    | ~ spl3_58 ),
    inference(forward_demodulation,[],[f70,f453]) ).

fof(f1746,plain,
    ( spl3_36
    | ~ spl3_58
    | ~ spl3_95 ),
    inference(avatar_split_clause,[],[f1745,f636,f452,f355]) ).

fof(f1745,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_58
    | ~ spl3_95 ),
    inference(backward_demodulation,[],[f638,f453]) ).

fof(f1735,plain,
    ( spl3_69
    | ~ spl3_83
    | ~ spl3_99 ),
    inference(avatar_contradiction_clause,[],[f1734]) ).

fof(f1734,plain,
    ( $false
    | spl3_69
    | ~ spl3_83
    | ~ spl3_99 ),
    inference(subsumption_resolution,[],[f1733,f505]) ).

fof(f505,plain,
    ( e0 != op(e0,e0)
    | spl3_69 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f1733,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_83
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f664,f575]) ).

fof(f575,plain,
    ( e0 = op(e0,e2)
    | ~ spl3_83 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f1732,plain,
    ( ~ spl3_31
    | ~ spl3_74
    | spl3_78 ),
    inference(avatar_contradiction_clause,[],[f1731]) ).

fof(f1731,plain,
    ( $false
    | ~ spl3_31
    | ~ spl3_74
    | spl3_78 ),
    inference(subsumption_resolution,[],[f1730,f530]) ).

fof(f1730,plain,
    ( e1 != op(e2,e0)
    | ~ spl3_31
    | spl3_78 ),
    inference(forward_demodulation,[],[f548,f334]) ).

fof(f548,plain,
    ( e1 != op(op(e0,e0),e0)
    | spl3_78 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f1700,plain,
    ( ~ spl3_4
    | ~ spl3_8
    | spl3_39 ),
    inference(avatar_contradiction_clause,[],[f1699]) ).

fof(f1699,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_8
    | spl3_39 ),
    inference(subsumption_resolution,[],[f1698,f370]) ).

fof(f1698,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_4
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f236,f219]) ).

fof(f1694,plain,
    ( spl3_50
    | ~ spl3_30
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f1692,f443,f328,f416]) ).

fof(f1692,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_30
    | ~ spl3_56 ),
    inference(backward_demodulation,[],[f330,f445]) ).

fof(f1690,plain,
    ( spl3_21
    | ~ spl3_31
    | ~ spl3_104 ),
    inference(avatar_contradiction_clause,[],[f1689]) ).

fof(f1689,plain,
    ( $false
    | spl3_21
    | ~ spl3_31
    | ~ spl3_104 ),
    inference(subsumption_resolution,[],[f1688,f291]) ).

fof(f1688,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_31
    | ~ spl3_104 ),
    inference(backward_demodulation,[],[f698,f334]) ).

fof(f1672,plain,
    ( spl3_27
    | ~ spl3_85
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1671]) ).

fof(f1671,plain,
    ( $false
    | spl3_27
    | ~ spl3_85
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1670,f316]) ).

fof(f1670,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_85
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f710,f584]) ).

fof(f1642,plain,
    ( ~ spl3_76
    | ~ spl3_77 ),
    inference(avatar_contradiction_clause,[],[f1641]) ).

fof(f1641,plain,
    ( $false
    | ~ spl3_76
    | ~ spl3_77 ),
    inference(subsumption_resolution,[],[f1640,f539]) ).

fof(f1640,plain,
    ( e1 != op(e2,e2)
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f66,f543]) ).

fof(f1639,plain,
    ( spl3_2
    | ~ spl3_77
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f1635,f645,f541,f208]) ).

fof(f1635,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_77
    | ~ spl3_96 ),
    inference(backward_demodulation,[],[f647,f543]) ).

fof(f1603,plain,
    ( ~ spl3_58
    | ~ spl3_76 ),
    inference(avatar_contradiction_clause,[],[f1602]) ).

fof(f1602,plain,
    ( $false
    | ~ spl3_58
    | ~ spl3_76 ),
    inference(subsumption_resolution,[],[f1601,f197]) ).

fof(f1601,plain,
    ( e1 = e3
    | ~ spl3_58
    | ~ spl3_76 ),
    inference(backward_demodulation,[],[f453,f539]) ).

fof(f1581,plain,
    ( ~ spl3_31
    | ~ spl3_69 ),
    inference(avatar_contradiction_clause,[],[f1580]) ).

fof(f1580,plain,
    ( $false
    | ~ spl3_31
    | ~ spl3_69 ),
    inference(subsumption_resolution,[],[f1579,f199]) ).

fof(f1579,plain,
    ( e0 = e2
    | ~ spl3_31
    | ~ spl3_69 ),
    inference(forward_demodulation,[],[f334,f506]) ).

fof(f1542,plain,
    ( ~ spl3_27
    | ~ spl3_85 ),
    inference(avatar_split_clause,[],[f1541,f582,f315]) ).

fof(f1541,plain,
    ( e1 != op(e1,e1)
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f80,f584]) ).

fof(f80,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1526,plain,
    ( spl3_2
    | ~ spl3_54
    | ~ spl3_74 ),
    inference(avatar_contradiction_clause,[],[f1525]) ).

fof(f1525,plain,
    ( $false
    | spl3_2
    | ~ spl3_54
    | ~ spl3_74 ),
    inference(subsumption_resolution,[],[f1522,f210]) ).

fof(f210,plain,
    ( e2 != op(e1,e1)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f1522,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_54
    | ~ spl3_74 ),
    inference(backward_demodulation,[],[f436,f530]) ).

fof(f1508,plain,
    ( ~ spl3_27
    | ~ spl3_10 ),
    inference(avatar_split_clause,[],[f1507,f243,f315]) ).

fof(f1507,plain,
    ( e1 != op(e1,e1)
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f106,f245]) ).

fof(f1478,plain,
    ( ~ spl3_50
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f1417,f298,f416]) ).

fof(f1417,plain,
    ( e0 != op(e1,e1)
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f74,f300]) ).

fof(f74,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1473,plain,
    ( ~ spl3_94
    | ~ spl3_10 ),
    inference(avatar_split_clause,[],[f1471,f243,f629]) ).

fof(f1471,plain,
    ( e1 != op(e3,e0)
    | ~ spl3_10 ),
    inference(backward_demodulation,[],[f93,f245]) ).

fof(f93,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1453,plain,
    ( spl3_21
    | ~ spl3_45
    | ~ spl3_103 ),
    inference(avatar_contradiction_clause,[],[f1452]) ).

fof(f1452,plain,
    ( $false
    | spl3_21
    | ~ spl3_45
    | ~ spl3_103 ),
    inference(subsumption_resolution,[],[f1451,f291]) ).

fof(f1451,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_45
    | ~ spl3_103 ),
    inference(forward_demodulation,[],[f693,f396]) ).

fof(f1442,plain,
    ( spl3_20
    | ~ spl3_34
    | ~ spl3_54 ),
    inference(avatar_contradiction_clause,[],[f1441]) ).

fof(f1441,plain,
    ( $false
    | spl3_20
    | ~ spl3_34
    | ~ spl3_54 ),
    inference(subsumption_resolution,[],[f1440,f286]) ).

fof(f1440,plain,
    ( e2 = op(e2,e2)
    | ~ spl3_34
    | ~ spl3_54 ),
    inference(forward_demodulation,[],[f436,f348]) ).

fof(f1427,plain,
    ( ~ spl3_27
    | ~ spl3_94
    | ~ spl3_97 ),
    inference(avatar_contradiction_clause,[],[f1426]) ).

fof(f1426,plain,
    ( $false
    | ~ spl3_27
    | ~ spl3_94
    | ~ spl3_97 ),
    inference(subsumption_resolution,[],[f1425,f197]) ).

fof(f1425,plain,
    ( e1 = e3
    | ~ spl3_27
    | ~ spl3_94
    | ~ spl3_97 ),
    inference(forward_demodulation,[],[f1424,f317]) ).

fof(f317,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_27 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f1424,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_94
    | ~ spl3_97 ),
    inference(forward_demodulation,[],[f652,f631]) ).

fof(f1408,plain,
    ( spl3_76
    | ~ spl3_86
    | ~ spl3_93 ),
    inference(avatar_contradiction_clause,[],[f1407]) ).

fof(f1407,plain,
    ( $false
    | spl3_76
    | ~ spl3_86
    | ~ spl3_93 ),
    inference(subsumption_resolution,[],[f1406,f538]) ).

fof(f538,plain,
    ( e1 != op(e2,e2)
    | spl3_76 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1406,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_86
    | ~ spl3_93 ),
    inference(forward_demodulation,[],[f626,f589]) ).

fof(f1301,plain,
    ( ~ spl3_19
    | ~ spl3_21
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1300]) ).

fof(f1300,plain,
    ( $false
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1299,f200]) ).

fof(f1299,plain,
    ( e0 = e1
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f1298,f292]) ).

fof(f1298,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_19
    | ~ spl3_106 ),
    inference(backward_demodulation,[],[f710,f283]) ).

fof(f1289,plain,
    ( ~ spl3_21
    | ~ spl3_69
    | ~ spl3_95 ),
    inference(avatar_contradiction_clause,[],[f1288]) ).

fof(f1288,plain,
    ( $false
    | ~ spl3_21
    | ~ spl3_69
    | ~ spl3_95 ),
    inference(subsumption_resolution,[],[f1287,f199]) ).

fof(f1287,plain,
    ( e0 = e2
    | ~ spl3_21
    | ~ spl3_69
    | ~ spl3_95 ),
    inference(forward_demodulation,[],[f1286,f506]) ).

fof(f1286,plain,
    ( op(e0,e0) = e2
    | ~ spl3_21
    | ~ spl3_95 ),
    inference(forward_demodulation,[],[f638,f292]) ).

fof(f1255,plain,
    ( ~ spl3_27
    | ~ spl3_50 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1254,plain,
    ( $false
    | ~ spl3_27
    | ~ spl3_50 ),
    inference(subsumption_resolution,[],[f1253,f200]) ).

fof(f1253,plain,
    ( e0 = e1
    | ~ spl3_27
    | ~ spl3_50 ),
    inference(forward_demodulation,[],[f317,f418]) ).

fof(f1251,plain,
    ( ~ spl3_87
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f1250,f217,f591]) ).

fof(f1250,plain,
    ( e3 != op(e1,e3)
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f65,f219]) ).

fof(f65,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1218,plain,
    ( ~ spl3_80
    | ~ spl3_21
    | spl3_70
    | ~ spl3_84 ),
    inference(avatar_split_clause,[],[f1215,f577,f509,f290,f556]) ).

fof(f509,plain,
    ( spl3_70
  <=> e3 = op(e2,op(op(e2,e2),e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).

fof(f1215,plain,
    ( e3 != op(e2,e1)
    | ~ spl3_21
    | spl3_70
    | ~ spl3_84 ),
    inference(backward_demodulation,[],[f1194,f579]) ).

fof(f1194,plain,
    ( e3 != op(e2,op(e0,e2))
    | ~ spl3_21
    | spl3_70 ),
    inference(forward_demodulation,[],[f511,f292]) ).

fof(f511,plain,
    ( e3 != op(e2,op(op(e2,e2),e2))
    | spl3_70 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1210,plain,
    ( ~ spl3_2
    | ~ spl3_50 ),
    inference(avatar_contradiction_clause,[],[f1209]) ).

fof(f1209,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_50 ),
    inference(subsumption_resolution,[],[f1208,f199]) ).

fof(f1208,plain,
    ( e0 = e2
    | ~ spl3_2
    | ~ spl3_50 ),
    inference(forward_demodulation,[],[f209,f418]) ).

fof(f1206,plain,
    ( ~ spl3_50
    | ~ spl3_88
    | ~ spl3_93 ),
    inference(avatar_contradiction_clause,[],[f1205]) ).

fof(f1205,plain,
    ( $false
    | ~ spl3_50
    | ~ spl3_88
    | ~ spl3_93 ),
    inference(subsumption_resolution,[],[f1204,f200]) ).

fof(f1204,plain,
    ( e0 = e1
    | ~ spl3_50
    | ~ spl3_88
    | ~ spl3_93 ),
    inference(forward_demodulation,[],[f1203,f418]) ).

fof(f1203,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_88
    | ~ spl3_93 ),
    inference(forward_demodulation,[],[f626,f597]) ).

fof(f1197,plain,
    ( spl3_3
    | ~ spl3_44
    | ~ spl3_50 ),
    inference(avatar_contradiction_clause,[],[f1196]) ).

fof(f1196,plain,
    ( $false
    | spl3_3
    | ~ spl3_44
    | ~ spl3_50 ),
    inference(subsumption_resolution,[],[f1195,f391]) ).

fof(f1195,plain,
    ( e3 != op(e0,e1)
    | spl3_3
    | ~ spl3_50 ),
    inference(forward_demodulation,[],[f214,f418]) ).

fof(f214,plain,
    ( e3 != op(op(e1,e1),e1)
    | spl3_3 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f212,plain,
    ( spl3_3
  <=> e3 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f1177,plain,
    ( ~ spl3_46
    | ~ spl3_50 ),
    inference(avatar_split_clause,[],[f1176,f416,f398]) ).

fof(f398,plain,
    ( spl3_46
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).

fof(f1176,plain,
    ( e0 != op(e0,e1)
    | ~ spl3_50 ),
    inference(forward_demodulation,[],[f82,f418]) ).

fof(f82,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1173,plain,
    ( ~ spl3_63
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f1170,f264,f475]) ).

fof(f1170,plain,
    ( e3 != op(e1,e2)
    | ~ spl3_15 ),
    inference(backward_demodulation,[],[f101,f266]) ).

fof(f1137,plain,
    ( ~ spl3_88
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f1082,f541,f595]) ).

fof(f1082,plain,
    ( e1 != op(e1,e3)
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f91,f543]) ).

fof(f1125,plain,
    ( ~ spl3_2
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f1123,f198]) ).

fof(f1123,plain,
    ( e1 = e2
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f209,f317]) ).

fof(f1119,plain,
    ( ~ spl3_47
    | ~ spl3_51 ),
    inference(avatar_contradiction_clause,[],[f1118]) ).

fof(f1118,plain,
    ( $false
    | ~ spl3_47
    | ~ spl3_51 ),
    inference(subsumption_resolution,[],[f1117,f422]) ).

fof(f1117,plain,
    ( e0 != op(e1,e2)
    | ~ spl3_47 ),
    inference(forward_demodulation,[],[f81,f405]) ).

fof(f81,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1111,plain,
    ( ~ spl3_74
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f1110,f541,f528]) ).

fof(f1110,plain,
    ( e1 != op(e2,e0)
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f88,f543]) ).

fof(f88,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1109,plain,
    ( ~ spl3_80
    | ~ spl3_58 ),
    inference(avatar_split_clause,[],[f1033,f452,f556]) ).

fof(f1033,plain,
    ( e3 != op(e2,e1)
    | ~ spl3_58 ),
    inference(forward_demodulation,[],[f89,f453]) ).

fof(f1107,plain,
    ( ~ spl3_84
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f1106,f260,f577]) ).

fof(f1106,plain,
    ( e1 != op(e0,e2)
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f79,f262]) ).

fof(f1102,plain,
    ( ~ spl3_23
    | ~ spl3_46 ),
    inference(avatar_split_clause,[],[f1101,f398,f298]) ).

fof(f1101,plain,
    ( e0 != op(e2,e1)
    | ~ spl3_46 ),
    inference(forward_demodulation,[],[f77,f400]) ).

fof(f400,plain,
    ( e0 = op(e0,e1)
    | ~ spl3_46 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f1091,plain,
    ( ~ spl3_41
    | ~ spl3_58 ),
    inference(avatar_split_clause,[],[f1018,f452,f377]) ).

fof(f1018,plain,
    ( e3 != op(e0,e2)
    | ~ spl3_58 ),
    inference(forward_demodulation,[],[f99,f453]) ).

fof(f99,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1075,plain,
    ( ~ spl3_75
    | ~ spl3_58 ),
    inference(avatar_split_clause,[],[f1055,f452,f532]) ).

fof(f1055,plain,
    ( e3 != op(e2,e0)
    | ~ spl3_58 ),
    inference(forward_demodulation,[],[f61,f453]) ).

fof(f1064,plain,
    ( ~ spl3_55
    | ~ spl3_4
    | ~ spl3_65
    | spl3_102 ),
    inference(avatar_split_clause,[],[f971,f679,f487,f217,f439]) ).

fof(f679,plain,
    ( spl3_102
  <=> e2 = op(e0,op(op(e0,e0),e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_102])]) ).

fof(f971,plain,
    ( e2 != op(e0,e3)
    | ~ spl3_4
    | ~ spl3_65
    | spl3_102 ),
    inference(forward_demodulation,[],[f967,f219]) ).

fof(f967,plain,
    ( e2 != op(e0,op(e1,e0))
    | ~ spl3_65
    | spl3_102 ),
    inference(backward_demodulation,[],[f681,f488]) ).

fof(f681,plain,
    ( e2 != op(e0,op(op(e0,e0),e0))
    | spl3_102 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f1063,plain,
    ( ~ spl3_24
    | ~ spl3_68 ),
    inference(avatar_split_clause,[],[f1062,f500,f302]) ).

fof(f1062,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_68 ),
    inference(forward_demodulation,[],[f94,f502]) ).

fof(f1051,plain,
    ( spl3_20
    | ~ spl3_61
    | ~ spl3_96 ),
    inference(avatar_contradiction_clause,[],[f1050]) ).

fof(f1050,plain,
    ( $false
    | spl3_20
    | ~ spl3_61
    | ~ spl3_96 ),
    inference(subsumption_resolution,[],[f963,f286]) ).

fof(f963,plain,
    ( e2 = op(e2,e2)
    | ~ spl3_61
    | ~ spl3_96 ),
    inference(backward_demodulation,[],[f647,f467]) ).

fof(f1037,plain,
    ( ~ spl3_34
    | ~ spl3_74 ),
    inference(avatar_contradiction_clause,[],[f1036]) ).

fof(f1036,plain,
    ( $false
    | ~ spl3_34
    | ~ spl3_74 ),
    inference(subsumption_resolution,[],[f1035,f198]) ).

fof(f1035,plain,
    ( e1 = e2
    | ~ spl3_34
    | ~ spl3_74 ),
    inference(forward_demodulation,[],[f348,f530]) ).

fof(f1026,plain,
    ( ~ spl3_26
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f1025,f315,f311]) ).

fof(f1025,plain,
    ( e1 != op(e0,e1)
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f82,f317]) ).

fof(f987,plain,
    ( ~ spl3_4
    | spl3_33
    | ~ spl3_65 ),
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f986,plain,
    ( $false
    | ~ spl3_4
    | spl3_33
    | ~ spl3_65 ),
    inference(subsumption_resolution,[],[f985,f219]) ).

fof(f985,plain,
    ( e3 != op(e1,e0)
    | spl3_33
    | ~ spl3_65 ),
    inference(forward_demodulation,[],[f343,f488]) ).

fof(f343,plain,
    ( e3 != op(op(e0,e0),e0)
    | spl3_33 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f341,plain,
    ( spl3_33
  <=> e3 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).

fof(f983,plain,
    ( ~ spl3_47
    | ~ spl3_49 ),
    inference(avatar_contradiction_clause,[],[f982]) ).

fof(f982,plain,
    ( $false
    | ~ spl3_47
    | ~ spl3_49 ),
    inference(subsumption_resolution,[],[f981,f413]) ).

fof(f981,plain,
    ( e0 != op(e0,e3)
    | ~ spl3_47 ),
    inference(forward_demodulation,[],[f92,f405]) ).

fof(f980,plain,
    ( ~ spl3_69
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f979,f302,f504]) ).

fof(f979,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f102,f304]) ).

fof(f956,plain,
    ( ~ spl3_23
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f955]) ).

fof(f955,plain,
    ( $false
    | ~ spl3_23
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f954,f304]) ).

fof(f954,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f104,f300]) ).

fof(f951,plain,
    ( ~ spl3_84
    | ~ spl3_21
    | spl3_59 ),
    inference(avatar_split_clause,[],[f950,f456,f290,f577]) ).

fof(f456,plain,
    ( spl3_59
  <=> e1 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).

fof(f950,plain,
    ( e1 != op(e0,e2)
    | ~ spl3_21
    | spl3_59 ),
    inference(forward_demodulation,[],[f458,f292]) ).

fof(f458,plain,
    ( e1 != op(op(e2,e2),e2)
    | spl3_59 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f945,plain,
    ( ~ spl3_6
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f944,f302,f225]) ).

fof(f944,plain,
    ( e0 != op(e1,e0)
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f78,f304]) ).

fof(f931,plain,
    ( ~ spl3_83
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f930,f290,f573]) ).

fof(f930,plain,
    ( e0 != op(e0,e2)
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f99,f292]) ).

fof(f928,plain,
    ( ~ spl3_21
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f927]) ).

fof(f927,plain,
    ( $false
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f926,f304]) ).

fof(f926,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f61,f292]) ).

fof(f923,plain,
    ( ~ spl3_42
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f922,f217,f381]) ).

fof(f922,plain,
    ( op(e0,e0) != e3
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f67,f219]) ).

fof(f918,plain,
    ( ~ spl3_6
    | ~ spl3_47 ),
    inference(avatar_split_clause,[],[f917,f403,f225]) ).

fof(f917,plain,
    ( e0 != op(e1,e0)
    | ~ spl3_47 ),
    inference(forward_demodulation,[],[f65,f405]) ).

fof(f900,plain,
    ( ~ spl3_51
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f899,f290,f420]) ).

fof(f899,plain,
    ( e0 != op(e1,e2)
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f68,f292]) ).

fof(f866,plain,
    ( ~ spl3_31
    | ~ spl3_35 ),
    inference(avatar_split_clause,[],[f865,f350,f333]) ).

fof(f865,plain,
    ( op(e0,e0) != e2
    | ~ spl3_35 ),
    inference(forward_demodulation,[],[f85,f352]) ).

fof(f861,plain,
    ( ~ spl3_36
    | ~ spl3_39 ),
    inference(avatar_contradiction_clause,[],[f860]) ).

fof(f860,plain,
    ( $false
    | ~ spl3_36
    | ~ spl3_39 ),
    inference(subsumption_resolution,[],[f859,f198]) ).

fof(f859,plain,
    ( e1 = e2
    | ~ spl3_36
    | ~ spl3_39 ),
    inference(backward_demodulation,[],[f356,f369]) ).

fof(f854,plain,
    ( ~ spl3_20
    | ~ spl3_36
    | ~ spl3_92 ),
    inference(avatar_contradiction_clause,[],[f853]) ).

fof(f853,plain,
    ( $false
    | ~ spl3_20
    | ~ spl3_36
    | ~ spl3_92 ),
    inference(subsumption_resolution,[],[f852,f201]) ).

fof(f852,plain,
    ( e2 = e3
    | ~ spl3_20
    | ~ spl3_36
    | ~ spl3_92 ),
    inference(forward_demodulation,[],[f846,f287]) ).

fof(f846,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_36
    | ~ spl3_92 ),
    inference(backward_demodulation,[],[f621,f356]) ).

fof(f850,plain,
    ( ~ spl3_22
    | ~ spl3_36
    | spl3_37 ),
    inference(avatar_contradiction_clause,[],[f849]) ).

fof(f849,plain,
    ( $false
    | ~ spl3_22
    | ~ spl3_36
    | spl3_37 ),
    inference(subsumption_resolution,[],[f844,f296]) ).

fof(f844,plain,
    ( e0 != op(e2,e3)
    | ~ spl3_36
    | spl3_37 ),
    inference(backward_demodulation,[],[f361,f356]) ).

fof(f842,plain,
    ( ~ spl3_48
    | ~ spl3_47 ),
    inference(avatar_split_clause,[],[f840,f403,f407]) ).

fof(f840,plain,
    ( e0 != op(e3,e3)
    | ~ spl3_47 ),
    inference(backward_demodulation,[],[f105,f405]) ).

fof(f841,plain,
    ( spl3_65
    | ~ spl3_47
    | ~ spl3_93 ),
    inference(avatar_split_clause,[],[f838,f624,f403,f487]) ).

fof(f838,plain,
    ( op(e0,e0) = e1
    | ~ spl3_47
    | ~ spl3_93 ),
    inference(backward_demodulation,[],[f626,f405]) ).

fof(f834,plain,
    ( ~ spl3_2
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f832,f281,f208]) ).

fof(f832,plain,
    ( e2 != op(e1,e1)
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f80,f283]) ).

fof(f823,plain,
    ( ~ spl3_52
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f820,f251,f425]) ).

fof(f251,plain,
    ( spl3_12
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f820,plain,
    ( e3 != op(e1,e1)
    | ~ spl3_12 ),
    inference(backward_demodulation,[],[f106,f253]) ).

fof(f253,plain,
    ( e3 = op(e3,e1)
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f804,plain,
    ( spl3_48
    | ~ spl3_30
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f803,f385,f328,f407]) ).

fof(f803,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_30
    | ~ spl3_43 ),
    inference(forward_demodulation,[],[f330,f387]) ).

fof(f796,plain,
    ( ~ spl3_39
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f789,f260,f368]) ).

fof(f789,plain,
    ( e1 != op(e3,e3)
    | ~ spl3_14 ),
    inference(backward_demodulation,[],[f108,f262]) ).

fof(f788,plain,
    ( ~ spl3_47
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f783,f294,f403]) ).

fof(f783,plain,
    ( e0 != op(e1,e3)
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f91,f296]) ).

fof(f787,plain,
    ( spl3_31
    | ~ spl3_22
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f781,f645,f294,f333]) ).

fof(f781,plain,
    ( op(e0,e0) = e2
    | ~ spl3_22
    | ~ spl3_96 ),
    inference(backward_demodulation,[],[f647,f296]) ).

fof(f785,plain,
    ( ~ spl3_48
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f782,f294,f407]) ).

fof(f782,plain,
    ( e0 != op(e3,e3)
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f83,f296]) ).

fof(f777,plain,
    ( ~ spl3_27
    | ~ spl3_25 ),
    inference(avatar_split_clause,[],[f774,f307,f315]) ).

fof(f774,plain,
    ( e1 != op(e1,e1)
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f74,f309]) ).

fof(f741,plain,
    ( ~ spl3_34
    | ~ spl3_20 ),
    inference(avatar_split_clause,[],[f733,f285,f346]) ).

fof(f733,plain,
    ( e2 != op(e2,e0)
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f61,f287]) ).

fof(f728,plain,
    ( ~ spl3_94
    | ~ spl3_7 ),
    inference(avatar_split_clause,[],[f724,f229,f629]) ).

fof(f724,plain,
    ( e1 != op(e3,e0)
    | ~ spl3_7 ),
    inference(backward_demodulation,[],[f107,f231]) ).

fof(f725,plain,
    ( ~ spl3_88
    | ~ spl3_7 ),
    inference(avatar_split_clause,[],[f720,f229,f595]) ).

fof(f720,plain,
    ( e1 != op(e1,e3)
    | ~ spl3_7 ),
    inference(backward_demodulation,[],[f65,f231]) ).

fof(f717,plain,
    ( spl3_107
    | ~ spl3_29 ),
    inference(avatar_split_clause,[],[f123,f324,f714]) ).

fof(f324,plain,
    ( spl3_29
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f123,plain,
    ( ~ sP0
    | e3 = op(op(e3,e1),op(e3,e1)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e1 = op(op(e1,e1),op(e1,e1))
      & e3 = op(op(e3,e1),op(e3,e1))
      & e0 = op(op(e0,e1),op(e0,e1))
      & e2 = op(op(e2,e1),op(e2,e1)) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( ( e1 = op(op(e1,e1),op(e1,e1))
      & e3 = op(op(e3,e1),op(e3,e1))
      & e0 = op(op(e0,e1),op(e0,e1))
      & e2 = op(op(e2,e1),op(e2,e1)) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f711,plain,
    ( ~ spl3_28
    | spl3_106 ),
    inference(avatar_split_clause,[],[f118,f708,f320]) ).

fof(f320,plain,
    ( spl3_28
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).

fof(f118,plain,
    ( e1 = op(op(e1,e2),op(e1,e2))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( e0 = op(op(e0,e2),op(e0,e2))
      & e2 = op(op(e2,e2),op(e2,e2))
      & e1 = op(op(e1,e2),op(e1,e2))
      & e3 = op(op(e3,e2),op(e3,e2)) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ( e0 = op(op(e0,e2),op(e0,e2))
      & e2 = op(op(e2,e2),op(e2,e2))
      & e1 = op(op(e1,e2),op(e1,e2))
      & e3 = op(op(e3,e2),op(e3,e2)) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f706,plain,
    ( spl3_58
    | spl3_21
    | spl3_20
    | spl3_76 ),
    inference(avatar_split_clause,[],[f136,f537,f285,f290,f452]) ).

fof(f136,plain,
    ( e1 = op(e2,e2)
    | e2 = op(e2,e2)
    | e0 = op(e2,e2)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e0 = op(e2,e3)
      | e2 = op(e2,e3)
      | e3 = op(e2,e3)
      | e1 = op(e2,e3) )
    & ( e3 = op(e3,e0)
      | e1 = op(e3,e0)
      | e2 = op(e3,e0)
      | e0 = op(e3,e0) )
    & ( e1 = op(e2,e1)
      | e0 = op(e2,e1)
      | e2 = op(e2,e1)
      | e3 = op(e2,e1) )
    & ( e0 = op(e0,e1)
      | e3 = op(e0,e1)
      | e2 = op(e0,e1)
      | e1 = op(e0,e1) )
    & ( e1 = op(e3,e3)
      | e0 = op(e3,e3)
      | e3 = op(e3,e3)
      | e2 = op(e3,e3) )
    & ( e2 = op(e1,e0)
      | e0 = op(e1,e0)
      | e3 = op(e1,e0)
      | e1 = op(e1,e0) )
    & ( e0 = op(e3,e1)
      | e2 = op(e3,e1)
      | e1 = op(e3,e1)
      | e3 = op(e3,e1) )
    & ( e2 = op(e0,e2)
      | e3 = op(e0,e2)
      | e0 = op(e0,e2)
      | e1 = op(e0,e2) )
    & ( e1 = op(e3,e2)
      | e2 = op(e3,e2)
      | e0 = op(e3,e2)
      | e3 = op(e3,e2) )
    & ( op(e0,e0) = e2
      | op(e0,e0) = e1
      | op(e0,e0) = e3
      | e0 = op(e0,e0) )
    & ( e0 = op(e1,e3)
      | e3 = op(e1,e3)
      | e1 = op(e1,e3)
      | e2 = op(e1,e3) )
    & ( e2 = op(e2,e2)
      | e0 = op(e2,e2)
      | e3 = op(e2,e2)
      | e1 = op(e2,e2) )
    & ( e3 = op(e2,e0)
      | e2 = op(e2,e0)
      | e1 = op(e2,e0)
      | e0 = op(e2,e0) )
    & ( e1 = op(e0,e3)
      | e3 = op(e0,e3)
      | e0 = op(e0,e3)
      | e2 = op(e0,e3) )
    & ( e2 = op(e1,e1)
      | e0 = op(e1,e1)
      | e3 = op(e1,e1)
      | e1 = op(e1,e1) )
    & ( e3 = op(e1,e2)
      | e1 = op(e1,e2)
      | e0 = op(e1,e2)
      | e2 = op(e1,e2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f705,plain,
    ( ~ spl3_29
    | spl3_105 ),
    inference(avatar_split_clause,[],[f121,f702,f324]) ).

fof(f121,plain,
    ( e2 = op(op(e2,e1),op(e2,e1))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f700,plain,
    ( spl3_85
    | spl3_76
    | spl3_84
    | spl3_14 ),
    inference(avatar_split_clause,[],[f191,f260,f577,f537,f582]) ).

fof(f191,plain,
    ( e1 = op(e3,e2)
    | e1 = op(e0,e2)
    | e1 = op(e2,e2)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e3 = op(e1,e1)
      | e3 = op(e3,e1)
      | e3 = op(e0,e1)
      | e3 = op(e2,e1) )
    & ( e0 = op(e3,e0)
      | e0 = op(e0,e0)
      | e0 = op(e1,e0)
      | e0 = op(e2,e0) )
    & ( e1 = op(e2,e2)
      | e1 = op(e1,e2)
      | e1 = op(e3,e2)
      | e1 = op(e0,e2) )
    & ( e1 = op(e2,e3)
      | e1 = op(e0,e3)
      | e1 = op(e1,e3)
      | e1 = op(e3,e3) )
    & ( e0 = op(e3,e3)
      | e0 = op(e1,e3)
      | e0 = op(e2,e3)
      | e0 = op(e0,e3) )
    & ( op(e0,e0) = e2
      | e2 = op(e1,e0)
      | e2 = op(e3,e0)
      | e2 = op(e2,e0) )
    & ( e3 = op(e1,e0)
      | e3 = op(e1,e3)
      | e3 = op(e1,e2)
      | e3 = op(e1,e1) )
    & ( e3 = op(e0,e2)
      | e3 = op(e0,e1)
      | e3 = op(e0,e3)
      | op(e0,e0) = e3 )
    & ( e0 = op(e2,e1)
      | e0 = op(e2,e0)
      | e0 = op(e2,e3)
      | e0 = op(e2,e2) )
    & ( e2 = op(e1,e1)
      | e2 = op(e1,e2)
      | e2 = op(e1,e0)
      | e2 = op(e1,e3) )
    & ( e2 = op(e3,e3)
      | e2 = op(e3,e1)
      | e2 = op(e3,e0)
      | e2 = op(e3,e2) )
    & ( e3 = op(e1,e3)
      | e3 = op(e0,e3)
      | e3 = op(e2,e3)
      | e3 = op(e3,e3) )
    & ( e0 = op(e3,e1)
      | e0 = op(e3,e0)
      | e0 = op(e3,e2)
      | e0 = op(e3,e3) )
    & ( e2 = op(e0,e3)
      | e2 = op(e3,e3)
      | e2 = op(e2,e3)
      | e2 = op(e1,e3) )
    & ( e2 = op(e0,e1)
      | e2 = op(e0,e3)
      | op(e0,e0) = e2
      | e2 = op(e0,e2) )
    & ( e0 = op(e0,e2)
      | e0 = op(e3,e2)
      | e0 = op(e1,e2)
      | e0 = op(e2,e2) )
    & ( e3 = op(e3,e0)
      | op(e0,e0) = e3
      | e3 = op(e1,e0)
      | e3 = op(e2,e0) )
    & ( e0 = op(e2,e1)
      | e0 = op(e0,e1)
      | e0 = op(e1,e1)
      | e0 = op(e3,e1) )
    & ( e2 = op(e1,e2)
      | e2 = op(e3,e2)
      | e2 = op(e2,e2)
      | e2 = op(e0,e2) )
    & ( e3 = op(e1,e2)
      | e3 = op(e2,e2)
      | e3 = op(e3,e2)
      | e3 = op(e0,e2) )
    & ( e1 = op(e3,e2)
      | e1 = op(e3,e1)
      | e1 = op(e3,e3)
      | e1 = op(e3,e0) )
    & ( e1 = op(e1,e1)
      | e1 = op(e2,e1)
      | e1 = op(e0,e1)
      | e1 = op(e3,e1) )
    & ( e1 = op(e0,e1)
      | e1 = op(e0,e2)
      | op(e0,e0) = e1
      | e1 = op(e0,e3) )
    & ( e0 = op(e1,e0)
      | e0 = op(e1,e1)
      | e0 = op(e1,e3)
      | e0 = op(e1,e2) )
    & ( e3 = op(e3,e2)
      | e3 = op(e3,e0)
      | e3 = op(e3,e1)
      | e3 = op(e3,e3) )
    & ( e1 = op(e2,e0)
      | e1 = op(e3,e0)
      | e1 = op(e1,e0)
      | op(e0,e0) = e1 )
    & ( e1 = op(e2,e0)
      | e1 = op(e2,e1)
      | e1 = op(e2,e2)
      | e1 = op(e2,e3) )
    & ( e2 = op(e3,e1)
      | e2 = op(e2,e1)
      | e2 = op(e1,e1)
      | e2 = op(e0,e1) )
    & ( e0 = op(e0,e2)
      | e0 = op(e0,e0)
      | e0 = op(e0,e3)
      | e0 = op(e0,e1) )
    & ( e1 = op(e1,e3)
      | e1 = op(e1,e1)
      | e1 = op(e1,e2)
      | e1 = op(e1,e0) )
    & ( e2 = op(e2,e0)
      | e2 = op(e2,e3)
      | e2 = op(e2,e1)
      | e2 = op(e2,e2) )
    & ( e3 = op(e2,e1)
      | e3 = op(e2,e3)
      | e3 = op(e2,e0)
      | e3 = op(e2,e2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f699,plain,
    ( spl3_104
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f113,f238,f696]) ).

fof(f238,plain,
    ( spl3_9
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f113,plain,
    ( ~ sP2
    | e0 = op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( e1 = op(op(e1,e0),op(e1,e0))
      & e3 = op(op(e3,e0),op(e3,e0))
      & e2 = op(op(e2,e0),op(e2,e0))
      & e0 = op(op(e0,e0),op(e0,e0)) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ( e1 = op(op(e1,e0),op(e1,e0))
      & e3 = op(op(e3,e0),op(e3,e0))
      & e2 = op(op(e2,e0),op(e2,e0))
      & e0 = op(op(e0,e0),op(e0,e0)) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f694,plain,
    ( spl3_103
    | ~ spl3_29 ),
    inference(avatar_split_clause,[],[f122,f324,f691]) ).

fof(f122,plain,
    ( ~ sP0
    | e0 = op(op(e0,e1),op(e0,e1)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f689,plain,
    ( spl3_36
    | spl3_16
    | spl3_35
    | spl3_11 ),
    inference(avatar_split_clause,[],[f183,f247,f350,f268,f355]) ).

fof(f183,plain,
    ( e2 = op(e3,e1)
    | e2 = op(e3,e0)
    | e2 = op(e3,e2)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f686,plain,
    ( spl3_88
    | spl3_39
    | spl3_56
    | spl3_77 ),
    inference(avatar_split_clause,[],[f190,f541,f443,f368,f595]) ).

fof(f190,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e0,e3)
    | e1 = op(e3,e3)
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f685,plain,
    ( spl3_98
    | spl3_12
    | spl3_71
    | spl3_15 ),
    inference(avatar_split_clause,[],[f169,f264,f514,f251,f657]) ).

fof(f169,plain,
    ( e3 = op(e3,e2)
    | e3 = op(e3,e3)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f684,plain,
    ( ~ spl3_101
    | ~ spl3_38
    | ~ spl3_48 ),
    inference(avatar_split_clause,[],[f158,f407,f363,f672]) ).

fof(f158,plain,
    ( e0 != op(e3,e3)
    | e1 != op(e3,op(op(e3,e3),e3))
    | e2 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( e0 != op(e3,e3)
    | e1 != op(e3,op(op(e3,e3),e3))
    | e2 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( e0 = op(e3,e3)
      & e1 = op(e3,op(op(e3,e3),e3))
      & e2 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

fof(f682,plain,
    ( ~ spl3_65
    | ~ spl3_33
    | ~ spl3_102 ),
    inference(avatar_split_clause,[],[f110,f679,f341,f487]) ).

fof(f110,plain,
    ( e2 != op(e0,op(op(e0,e0),e0))
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(e0,e0),e0)
    | e2 != op(e0,op(op(e0,e0),e0)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ~ ( op(e0,e0) = e1
      & e3 = op(op(e0,e0),e0)
      & e2 = op(e0,op(op(e0,e0),e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).

fof(f677,plain,
    ( spl3_71
    | spl3_43
    | spl3_87
    | spl3_89 ),
    inference(avatar_split_clause,[],[f182,f601,f591,f385,f514]) ).

fof(f182,plain,
    ( e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f665,plain,
    ( spl3_99
    | ~ spl3_28 ),
    inference(avatar_split_clause,[],[f120,f320,f662]) ).

fof(f120,plain,
    ( ~ sP1
    | e0 = op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f660,plain,
    ( spl3_98
    | spl3_94
    | spl3_35
    | spl3_68 ),
    inference(avatar_split_clause,[],[f146,f500,f350,f629,f657]) ).

fof(f146,plain,
    ( e0 = op(e3,e0)
    | e2 = op(e3,e0)
    | e1 = op(e3,e0)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f655,plain,
    ( spl3_17
    | spl3_51
    | spl3_83
    | spl3_21 ),
    inference(avatar_split_clause,[],[f178,f290,f573,f420,f272]) ).

fof(f178,plain,
    ( e0 = op(e2,e2)
    | e0 = op(e0,e2)
    | e0 = op(e1,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f654,plain,
    ( ~ spl3_32
    | ~ spl3_67
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f150,f381,f495,f337]) ).

fof(f150,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e1 != op(e0,op(op(e0,e0),e0)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e1 != op(e0,op(op(e0,e0),e0)) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ ( e2 = op(op(e0,e0),e0)
      & op(e0,e0) = e3
      & e1 = op(e0,op(op(e0,e0),e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

fof(f653,plain,
    ( spl3_97
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f115,f238,f650]) ).

fof(f115,plain,
    ( ~ sP2
    | e3 = op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f648,plain,
    ( spl3_9
    | spl3_28
    | spl3_96
    | spl3_29 ),
    inference(avatar_split_clause,[],[f126,f324,f645,f320,f238]) ).

fof(f126,plain,
    ( sP0
    | e2 = op(op(e2,e3),op(e2,e3))
    | sP1
    | sP2 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ( e0 = op(op(e0,e3),op(e0,e3))
      & e3 = op(op(e3,e3),op(e3,e3))
      & e2 = op(op(e2,e3),op(e2,e3))
      & e1 = op(op(e1,e3),op(e1,e3)) )
    | sP2
    | sP1
    | sP0 ),
    inference(definition_folding,[],[f5,f56,f55,f54]) ).

fof(f5,axiom,
    ( ( e0 = op(op(e0,e3),op(e0,e3))
      & e3 = op(op(e3,e3),op(e3,e3))
      & e2 = op(op(e2,e3),op(e2,e3))
      & e1 = op(op(e1,e3),op(e1,e3)) )
    | ( e1 = op(op(e1,e0),op(e1,e0))
      & e3 = op(op(e3,e0),op(e3,e0))
      & e2 = op(op(e2,e0),op(e2,e0))
      & e0 = op(op(e0,e0),op(e0,e0)) )
    | ( e0 = op(op(e0,e2),op(e0,e2))
      & e2 = op(op(e2,e2),op(e2,e2))
      & e1 = op(op(e1,e2),op(e1,e2))
      & e3 = op(op(e3,e2),op(e3,e2)) )
    | ( e1 = op(op(e1,e1),op(e1,e1))
      & e3 = op(op(e3,e1),op(e3,e1))
      & e0 = op(op(e0,e1),op(e0,e1))
      & e2 = op(op(e2,e1),op(e2,e1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f642,plain,
    ( spl3_7
    | spl3_85
    | spl3_88
    | spl3_27 ),
    inference(avatar_split_clause,[],[f164,f315,f595,f582,f229]) ).

fof(f164,plain,
    ( e1 = op(e1,e1)
    | e1 = op(e1,e3)
    | e1 = op(e1,e2)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f641,plain,
    ( spl3_86
    | spl3_5
    | spl3_2
    | spl3_19 ),
    inference(avatar_split_clause,[],[f184,f281,f208,f221,f587]) ).

fof(f184,plain,
    ( e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f640,plain,
    ( spl3_42
    | spl3_69
    | spl3_31
    | spl3_65 ),
    inference(avatar_split_clause,[],[f138,f487,f333,f504,f381]) ).

fof(f138,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | e0 = op(e0,e0)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f639,plain,
    ( ~ spl3_28
    | spl3_95 ),
    inference(avatar_split_clause,[],[f119,f636,f320]) ).

fof(f119,plain,
    ( e2 = op(op(e2,e2),op(e2,e2))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f634,plain,
    ( spl3_14
    | spl3_94
    | spl3_10
    | spl3_39 ),
    inference(avatar_split_clause,[],[f173,f368,f243,f629,f260]) ).

fof(f173,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e3,e1)
    | e1 = op(e3,e0)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f632,plain,
    ( spl3_74
    | spl3_7
    | spl3_65
    | spl3_94 ),
    inference(avatar_split_clause,[],[f168,f629,f487,f229,f528]) ).

fof(f168,plain,
    ( e1 = op(e3,e0)
    | op(e0,e0) = e1
    | e1 = op(e1,e0)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f627,plain,
    ( spl3_9
    | spl3_28
    | spl3_29
    | spl3_93 ),
    inference(avatar_split_clause,[],[f125,f624,f324,f320,f238]) ).

fof(f125,plain,
    ( e1 = op(op(e1,e3),op(e1,e3))
    | sP0
    | sP1
    | sP2 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f622,plain,
    ( spl3_92
    | spl3_28
    | spl3_29
    | spl3_9 ),
    inference(avatar_split_clause,[],[f127,f238,f324,f320,f619]) ).

fof(f127,plain,
    ( sP2
    | sP0
    | sP1
    | e3 = op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f617,plain,
    ( spl3_36
    | spl3_86
    | spl3_61
    | spl3_55 ),
    inference(avatar_split_clause,[],[f180,f439,f465,f587,f355]) ).

fof(f180,plain,
    ( e2 = op(e0,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f616,plain,
    ( spl3_84
    | spl3_26
    | spl3_56
    | spl3_65 ),
    inference(avatar_split_clause,[],[f171,f487,f443,f311,f577]) ).

fof(f171,plain,
    ( op(e0,e0) = e1
    | e1 = op(e0,e3)
    | e1 = op(e0,e1)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f604,plain,
    ( spl3_22
    | spl3_61
    | spl3_89
    | spl3_77 ),
    inference(avatar_split_clause,[],[f147,f541,f601,f465,f294]) ).

fof(f147,plain,
    ( e1 = op(e2,e3)
    | e3 = op(e2,e3)
    | e2 = op(e2,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f599,plain,
    ( spl3_49
    | spl3_83
    | spl3_46
    | spl3_69 ),
    inference(avatar_split_clause,[],[f165,f504,f398,f573,f411]) ).

fof(f165,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e0,e1)
    | e0 = op(e0,e2)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f598,plain,
    ( spl3_86
    | spl3_87
    | spl3_47
    | spl3_88 ),
    inference(avatar_split_clause,[],[f137,f595,f403,f591,f587]) ).

fof(f137,plain,
    ( e1 = op(e1,e3)
    | e0 = op(e1,e3)
    | e3 = op(e1,e3)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f585,plain,
    ( spl3_19
    | spl3_63
    | spl3_51
    | spl3_85 ),
    inference(avatar_split_clause,[],[f132,f582,f420,f475,f281]) ).

fof(f132,plain,
    ( e1 = op(e1,e2)
    | e0 = op(e1,e2)
    | e3 = op(e1,e2)
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f580,plain,
    ( spl3_83
    | spl3_84
    | spl3_41
    | spl3_18 ),
    inference(avatar_split_clause,[],[f140,f277,f377,f577,f573]) ).

fof(f140,plain,
    ( e2 = op(e0,e2)
    | e3 = op(e0,e2)
    | e1 = op(e0,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f571,plain,
    ( spl3_82
    | ~ spl3_28 ),
    inference(avatar_split_clause,[],[f117,f320,f568]) ).

fof(f117,plain,
    ( ~ sP1
    | e3 = op(op(e3,e2),op(e3,e2)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f565,plain,
    ( spl3_80
    | spl3_23
    | spl3_60
    | spl3_25 ),
    inference(avatar_split_clause,[],[f145,f307,f461,f298,f556]) ).

fof(f145,plain,
    ( e1 = op(e2,e1)
    | e2 = op(e2,e1)
    | e0 = op(e2,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f564,plain,
    ( ~ spl3_29
    | spl3_81 ),
    inference(avatar_split_clause,[],[f124,f561,f324]) ).

fof(f124,plain,
    ( e1 = op(op(e1,e1),op(e1,e1))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f549,plain,
    ( ~ spl3_66
    | ~ spl3_78
    | ~ spl3_31 ),
    inference(avatar_split_clause,[],[f156,f333,f546,f491]) ).

fof(f156,plain,
    ( op(e0,e0) != e2
    | e1 != op(op(e0,e0),e0)
    | e3 != op(e0,op(op(e0,e0),e0)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( op(e0,e0) != e2
    | e1 != op(op(e0,e0),e0)
    | e3 != op(e0,op(op(e0,e0),e0)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ~ ( op(e0,e0) = e2
      & e3 = op(e0,op(op(e0,e0),e0))
      & e1 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

fof(f544,plain,
    ( spl3_74
    | spl3_25
    | spl3_76
    | spl3_77 ),
    inference(avatar_split_clause,[],[f167,f541,f537,f307,f528]) ).

fof(f167,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f535,plain,
    ( spl3_34
    | spl3_24
    | spl3_74
    | spl3_75 ),
    inference(avatar_split_clause,[],[f135,f532,f528,f302,f346]) ).

fof(f135,plain,
    ( e3 = op(e2,e0)
    | e1 = op(e2,e0)
    | e0 = op(e2,e0)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f526,plain,
    ( ~ spl3_72
    | ~ spl3_21
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f160,f523,f290,f519]) ).

fof(f160,plain,
    ( e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(e2,op(op(e2,e2),e2)) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e1 != op(e2,op(op(e2,e2),e2)) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ~ ( e0 = op(e2,e2)
      & e1 = op(e2,op(op(e2,e2),e2))
      & e3 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f512,plain,
    ( ~ spl3_59
    | ~ spl3_70
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f152,f290,f509,f456]) ).

fof(f152,plain,
    ( e0 != op(e2,e2)
    | e3 != op(e2,op(op(e2,e2),e2))
    | e1 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(e2,op(op(e2,e2),e2)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ~ ( e0 = op(e2,e2)
      & e1 = op(op(e2,e2),e2)
      & e3 = op(e2,op(op(e2,e2),e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

fof(f507,plain,
    ( spl3_68
    | spl3_69
    | spl3_24
    | spl3_6 ),
    inference(avatar_split_clause,[],[f192,f225,f302,f504,f500]) ).

fof(f192,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e2,e0)
    | e0 = op(e0,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f485,plain,
    ( spl3_11
    | spl3_2
    | spl3_45
    | spl3_60 ),
    inference(avatar_split_clause,[],[f166,f461,f394,f208,f247]) ).

fof(f166,plain,
    ( e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | e2 = op(e1,e1)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f473,plain,
    ( ~ spl3_50
    | ~ spl3_3
    | ~ spl3_62 ),
    inference(avatar_split_clause,[],[f148,f470,f212,f416]) ).

fof(f148,plain,
    ( e2 != op(e1,op(op(e1,e1),e1))
    | e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( e0 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e2 != op(e1,op(op(e1,e1),e1)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ~ ( e0 = op(e1,e1)
      & e3 = op(op(e1,e1),e1)
      & e2 = op(e1,op(op(e1,e1),e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f468,plain,
    ( spl3_60
    | spl3_34
    | spl3_20
    | spl3_61 ),
    inference(avatar_split_clause,[],[f163,f465,f285,f346,f461]) ).

fof(f163,plain,
    ( e2 = op(e2,e3)
    | e2 = op(e2,e2)
    | e2 = op(e2,e0)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f446,plain,
    ( spl3_43
    | spl3_55
    | spl3_49
    | spl3_56 ),
    inference(avatar_split_clause,[],[f134,f443,f411,f439,f385]) ).

fof(f134,plain,
    ( e1 = op(e0,e3)
    | e0 = op(e0,e3)
    | e2 = op(e0,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f437,plain,
    ( spl3_54
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f114,f238,f434]) ).

fof(f114,plain,
    ( ~ sP2
    | e2 = op(op(e2,e0),op(e2,e0)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f423,plain,
    ( spl3_50
    | spl3_47
    | spl3_51
    | spl3_6 ),
    inference(avatar_split_clause,[],[f170,f225,f420,f403,f416]) ).

fof(f170,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e1,e2)
    | e0 = op(e1,e3)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f414,plain,
    ( spl3_22
    | spl3_47
    | spl3_48
    | spl3_49 ),
    inference(avatar_split_clause,[],[f189,f411,f407,f403,f294]) ).

fof(f189,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e3,e3)
    | e0 = op(e1,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f401,plain,
    ( spl3_44
    | spl3_26
    | spl3_45
    | spl3_46 ),
    inference(avatar_split_clause,[],[f144,f398,f394,f311,f389]) ).

fof(f144,plain,
    ( e0 = op(e0,e1)
    | e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f375,plain,
    ( ~ spl3_39
    | ~ spl3_40
    | ~ spl3_37 ),
    inference(avatar_split_clause,[],[f202,f359,f372,f368]) ).

fof(f202,plain,
    ( e0 != op(op(e3,e3),e3)
    | e2 != op(e3,op(op(e3,e3),e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( e0 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e2 != op(e3,op(op(e3,e3),e3)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ~ ( e1 = op(e3,e3)
      & e0 = op(op(e3,e3),e3)
      & e2 = op(e3,op(op(e3,e3),e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

fof(f366,plain,
    ( ~ spl3_36
    | ~ spl3_37
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f131,f363,f359,f355]) ).

fof(f131,plain,
    ( e1 != op(e3,op(op(e3,e3),e3))
    | e0 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( e0 != op(op(e3,e3),e3)
    | e2 != op(e3,e3)
    | e1 != op(e3,op(op(e3,e3),e3)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e2 = op(e3,e3)
      & e1 = op(e3,op(op(e3,e3),e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

fof(f353,plain,
    ( spl3_34
    | spl3_31
    | spl3_35
    | spl3_5 ),
    inference(avatar_split_clause,[],[f188,f221,f350,f333,f346]) ).

fof(f188,plain,
    ( e2 = op(e1,e0)
    | e2 = op(e3,e0)
    | op(e0,e0) = e2
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f331,plain,
    ( spl3_9
    | spl3_28
    | spl3_29
    | spl3_30 ),
    inference(avatar_split_clause,[],[f128,f328,f324,f320,f238]) ).

fof(f128,plain,
    ( e0 = op(op(e0,e3),op(e0,e3))
    | sP0
    | sP1
    | sP2 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f318,plain,
    ( spl3_25
    | spl3_10
    | spl3_26
    | spl3_27 ),
    inference(avatar_split_clause,[],[f172,f315,f311,f243,f307]) ).

fof(f172,plain,
    ( e1 = op(e1,e1)
    | e1 = op(e0,e1)
    | e1 = op(e3,e1)
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f288,plain,
    ( spl3_18
    | spl3_19
    | spl3_20
    | spl3_16 ),
    inference(avatar_split_clause,[],[f175,f268,f285,f281,f277]) ).

fof(f175,plain,
    ( e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f275,plain,
    ( spl3_14
    | spl3_15
    | spl3_16
    | spl3_17 ),
    inference(avatar_split_clause,[],[f139,f272,f268,f264,f260]) ).

fof(f139,plain,
    ( e0 = op(e3,e2)
    | e2 = op(e3,e2)
    | e3 = op(e3,e2)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f258,plain,
    ( spl3_10
    | spl3_11
    | spl3_12
    | spl3_13 ),
    inference(avatar_split_clause,[],[f141,f255,f251,f247,f243]) ).

fof(f141,plain,
    ( e0 = op(e3,e1)
    | e3 = op(e3,e1)
    | e2 = op(e3,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f241,plain,
    ( spl3_8
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f116,f238,f234]) ).

fof(f116,plain,
    ( ~ sP2
    | e1 = op(op(e1,e0),op(e1,e0)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f232,plain,
    ( spl3_4
    | spl3_5
    | spl3_6
    | spl3_7 ),
    inference(avatar_split_clause,[],[f142,f229,f225,f221,f217]) ).

fof(f142,plain,
    ( e1 = op(e1,e0)
    | e0 = op(e1,e0)
    | e2 = op(e1,e0)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : ALG137+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 14:52:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (23603)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50  % (23605)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (23605)Instruction limit reached!
% 0.19/0.50  % (23605)------------------------------
% 0.19/0.50  % (23605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (23605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (23605)Termination reason: Unknown
% 0.19/0.50  % (23605)Termination phase: Property scanning
% 0.19/0.50  
% 0.19/0.50  % (23605)Memory used [KB]: 1407
% 0.19/0.50  % (23605)Time elapsed: 0.002 s
% 0.19/0.50  % (23605)Instructions burned: 3 (million)
% 0.19/0.50  % (23605)------------------------------
% 0.19/0.50  % (23605)------------------------------
% 0.19/0.50  % (23614)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (23622)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.51  % (23628)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.51  % (23608)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51  % (23611)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (23611)Refutation not found, incomplete strategy% (23611)------------------------------
% 0.19/0.51  % (23611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (23611)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (23611)Memory used [KB]: 5884
% 0.19/0.51  % (23611)Time elapsed: 0.004 s
% 0.19/0.51  % (23611)Instructions burned: 2 (million)
% 0.19/0.51  % (23611)------------------------------
% 0.19/0.51  % (23611)------------------------------
% 0.19/0.51  % (23625)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51  % (23620)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (23620)Instruction limit reached!
% 0.19/0.52  % (23620)------------------------------
% 0.19/0.52  % (23620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (23620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (23620)Termination reason: Unknown
% 0.19/0.52  % (23620)Termination phase: Property scanning
% 0.19/0.52  
% 0.19/0.52  % (23620)Memory used [KB]: 1407
% 0.19/0.52  % (23620)Time elapsed: 0.005 s
% 0.19/0.52  % (23620)Instructions burned: 3 (million)
% 0.19/0.52  % (23620)------------------------------
% 0.19/0.52  % (23620)------------------------------
% 0.19/0.52  % (23630)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=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (23614)Instruction limit reached!
% 0.19/0.52  % (23614)------------------------------
% 0.19/0.52  % (23614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (23614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (23614)Termination reason: Unknown
% 0.19/0.52  % (23614)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (23614)Memory used [KB]: 6140
% 0.19/0.52  % (23614)Time elapsed: 0.008 s
% 0.19/0.52  % (23614)Instructions burned: 8 (million)
% 0.19/0.52  % (23614)------------------------------
% 0.19/0.52  % (23614)------------------------------
% 0.19/0.52  % (23613)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52  % (23619)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (23607)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (23607)Refutation not found, incomplete strategy% (23607)------------------------------
% 0.19/0.53  % (23607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23607)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (23607)Memory used [KB]: 5884
% 0.19/0.53  % (23607)Time elapsed: 0.002 s
% 0.19/0.53  % (23607)Instructions burned: 1 (million)
% 0.19/0.53  % (23607)------------------------------
% 0.19/0.53  % (23607)------------------------------
% 0.19/0.53  % (23612)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53  % (23624)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=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (23622)Refutation not found, incomplete strategy% (23622)------------------------------
% 0.19/0.53  % (23622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23622)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (23622)Memory used [KB]: 5884
% 0.19/0.53  % (23622)Time elapsed: 0.003 s
% 0.19/0.53  % (23622)Instructions burned: 2 (million)
% 0.19/0.53  % (23622)------------------------------
% 0.19/0.53  % (23622)------------------------------
% 0.19/0.53  % (23617)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (23612)Refutation not found, incomplete strategy% (23612)------------------------------
% 0.19/0.53  % (23612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23612)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (23612)Memory used [KB]: 5884
% 0.19/0.53  % (23612)Time elapsed: 0.003 s
% 0.19/0.53  % (23612)Instructions burned: 1 (million)
% 0.19/0.53  % (23612)------------------------------
% 0.19/0.53  % (23612)------------------------------
% 0.19/0.53  % (23617)Instruction limit reached!
% 0.19/0.53  % (23617)------------------------------
% 0.19/0.53  % (23617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23617)Termination reason: Unknown
% 0.19/0.53  % (23617)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (23617)Memory used [KB]: 1407
% 0.19/0.53  % (23617)Time elapsed: 0.004 s
% 0.19/0.53  % (23617)Instructions burned: 4 (million)
% 0.19/0.53  % (23617)------------------------------
% 0.19/0.53  % (23617)------------------------------
% 0.19/0.53  % (23632)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53  % (23604)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (23606)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (23632)Refutation not found, incomplete strategy% (23632)------------------------------
% 0.19/0.53  % (23632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23632)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (23632)Memory used [KB]: 5884
% 0.19/0.53  % (23632)Time elapsed: 0.001 s
% 0.19/0.53  % (23632)------------------------------
% 0.19/0.53  % (23632)------------------------------
% 0.19/0.53  % (23604)Refutation not found, incomplete strategy% (23604)------------------------------
% 0.19/0.53  % (23604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23604)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (23604)Memory used [KB]: 5884
% 0.19/0.53  % (23604)Time elapsed: 0.002 s
% 0.19/0.53  % (23604)------------------------------
% 0.19/0.53  % (23604)------------------------------
% 0.19/0.53  % (23606)Refutation not found, incomplete strategy% (23606)------------------------------
% 0.19/0.53  % (23606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23606)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (23606)Memory used [KB]: 5884
% 0.19/0.53  % (23606)Time elapsed: 0.001 s
% 0.19/0.53  % (23606)------------------------------
% 0.19/0.53  % (23606)------------------------------
% 0.19/0.53  % (23610)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53  % (23615)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53  % (23621)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (23629)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (23608)Refutation not found, incomplete strategy% (23608)------------------------------
% 0.19/0.53  % (23608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23615)Refutation not found, incomplete strategy% (23615)------------------------------
% 0.19/0.53  % (23615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23610)Refutation not found, incomplete strategy% (23610)------------------------------
% 0.19/0.53  % (23610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (23613)Refutation not found, incomplete strategy% (23613)------------------------------
% 0.19/0.54  % (23613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (23613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (23613)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (23613)Memory used [KB]: 6012
% 0.19/0.54  % (23613)Time elapsed: 0.006 s
% 0.19/0.54  % (23613)Instructions burned: 7 (million)
% 0.19/0.54  % (23613)------------------------------
% 0.19/0.54  % (23613)------------------------------
% 0.19/0.54  % (23609)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54  % (23626)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.54  % (23631)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54  % (23615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (23615)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (23615)Memory used [KB]: 1663
% 0.19/0.54  % (23615)Time elapsed: 0.006 s
% 0.19/0.54  % (23615)Instructions burned: 8 (million)
% 0.19/0.54  % (23615)------------------------------
% 0.19/0.54  % (23615)------------------------------
% 0.19/0.54  % (23627)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (23629)Refutation not found, incomplete strategy% (23629)------------------------------
% 0.19/0.54  % (23629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (23621)Refutation not found, incomplete strategy% (23621)------------------------------
% 0.19/0.54  % (23621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (23609)Refutation not found, incomplete strategy% (23609)------------------------------
% 0.19/0.54  % (23609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (23609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (23609)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (23609)Memory used [KB]: 5884
% 0.19/0.54  % (23609)Time elapsed: 0.003 s
% 0.19/0.54  % (23609)Instructions burned: 2 (million)
% 0.19/0.54  % (23609)------------------------------
% 0.19/0.54  % (23609)------------------------------
% 0.19/0.54  % (23618)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (23610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (23610)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (23610)Memory used [KB]: 6268
% 0.19/0.54  % (23610)Time elapsed: 0.007 s
% 0.19/0.54  % (23610)Instructions burned: 11 (million)
% 0.19/0.54  % (23610)------------------------------
% 0.19/0.54  % (23610)------------------------------
% 0.19/0.54  % (23623)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.54  % (23616)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (23608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (23608)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (23608)Memory used [KB]: 1663
% 0.19/0.54  % (23608)Time elapsed: 0.006 s
% 0.19/0.54  % (23608)Instructions burned: 7 (million)
% 0.19/0.54  % (23608)------------------------------
% 0.19/0.54  % (23608)------------------------------
% 0.19/0.54  % (23616)Refutation not found, incomplete strategy% (23616)------------------------------
% 0.19/0.54  % (23616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (23616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (23616)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (23616)Memory used [KB]: 5884
% 0.19/0.54  % (23616)Time elapsed: 0.002 s
% 0.19/0.54  % (23616)Instructions burned: 1 (million)
% 0.19/0.54  % (23616)------------------------------
% 0.19/0.54  % (23616)------------------------------
% 0.19/0.55  % (23627)Refutation not found, incomplete strategy% (23627)------------------------------
% 0.19/0.55  % (23627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (23621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (23621)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (23621)Memory used [KB]: 5884
% 0.19/0.55  % (23621)Time elapsed: 0.004 s
% 0.19/0.55  % (23621)Instructions burned: 1 (million)
% 0.19/0.55  % (23621)------------------------------
% 0.19/0.55  % (23621)------------------------------
% 0.19/0.55  % (23624)Refutation not found, incomplete strategy% (23624)------------------------------
% 0.19/0.55  % (23624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (23619)Refutation not found, incomplete strategy% (23619)------------------------------
% 0.19/0.55  % (23619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (23619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (23619)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (23619)Memory used [KB]: 6268
% 0.19/0.55  % (23619)Time elapsed: 0.008 s
% 0.19/0.55  % (23619)Instructions burned: 13 (million)
% 0.19/0.55  % (23619)------------------------------
% 0.19/0.55  % (23619)------------------------------
% 0.19/0.55  % (23631)Instruction limit reached!
% 0.19/0.55  % (23631)------------------------------
% 0.19/0.55  % (23631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (23623)Refutation not found, incomplete strategy% (23623)------------------------------
% 0.19/0.55  % (23623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (23623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (23623)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (23623)Memory used [KB]: 5884
% 0.19/0.55  % (23623)Time elapsed: 0.002 s
% 0.19/0.55  % (23623)Instructions burned: 1 (million)
% 0.19/0.55  % (23623)------------------------------
% 0.19/0.55  % (23623)------------------------------
% 0.19/0.55  % (23631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (23631)Termination reason: Unknown
% 0.19/0.55  % (23631)Termination phase: Property scanning
% 0.19/0.55  
% 0.19/0.55  % (23631)Memory used [KB]: 1535
% 0.19/0.55  % (23631)Time elapsed: 0.005 s
% 0.19/0.55  % (23631)Instructions burned: 8 (million)
% 0.19/0.55  % (23631)------------------------------
% 0.19/0.55  % (23631)------------------------------
% 0.19/0.55  % (23626)Refutation not found, incomplete strategy% (23626)------------------------------
% 0.19/0.55  % (23626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (23626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (23626)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (23626)Memory used [KB]: 1663
% 0.19/0.55  % (23626)Time elapsed: 0.006 s
% 0.19/0.55  % (23626)Instructions burned: 9 (million)
% 0.19/0.55  % (23626)------------------------------
% 0.19/0.55  % (23626)------------------------------
% 0.19/0.55  % (23624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (23629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (23624)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (23629)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (23624)Memory used [KB]: 6140
% 0.19/0.55  % (23624)Time elapsed: 0.007 s
% 0.19/0.55  % (23624)Instructions burned: 10 (million)
% 0.19/0.55  % (23629)Memory used [KB]: 6268
% 0.19/0.55  % (23629)Time elapsed: 0.009 s
% 0.19/0.55  % (23624)------------------------------
% 0.19/0.55  % (23624)------------------------------
% 0.19/0.55  % (23629)Instructions burned: 12 (million)
% 0.19/0.55  % (23629)------------------------------
% 0.19/0.55  % (23629)------------------------------
% 0.19/0.55  % (23618)Instruction limit reached!
% 0.19/0.55  % (23618)------------------------------
% 0.19/0.55  % (23618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (23618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (23618)Termination reason: Unknown
% 0.19/0.55  % (23618)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (23618)Memory used [KB]: 6268
% 0.19/0.55  % (23618)Time elapsed: 0.006 s
% 0.19/0.55  % (23618)Instructions burned: 8 (million)
% 0.19/0.55  % (23618)------------------------------
% 0.19/0.55  % (23618)------------------------------
% 0.19/0.56  % (23630)Instruction limit reached!
% 0.19/0.56  % (23630)------------------------------
% 0.19/0.56  % (23630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (23630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (23630)Termination reason: Unknown
% 0.19/0.56  % (23630)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (23630)Memory used [KB]: 6396
% 0.19/0.56  % (23630)Time elapsed: 0.141 s
% 0.19/0.56  % (23630)Instructions burned: 25 (million)
% 0.19/0.56  % (23630)------------------------------
% 0.19/0.56  % (23630)------------------------------
% 0.19/0.56  % (23627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (23627)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (23627)Memory used [KB]: 6396
% 0.19/0.56  % (23627)Time elapsed: 0.119 s
% 0.19/0.56  % (23627)Instructions burned: 14 (million)
% 0.19/0.56  % (23627)------------------------------
% 0.19/0.56  % (23627)------------------------------
% 2.13/0.63  % (23634)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.13/0.64  % (23633)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.13/0.64  % (23637)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.13/0.64  % (23633)Refutation not found, incomplete strategy% (23633)------------------------------
% 2.13/0.64  % (23633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64  % (23633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64  % (23633)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.64  
% 2.13/0.64  % (23633)Memory used [KB]: 5884
% 2.13/0.64  % (23633)Time elapsed: 0.003 s
% 2.13/0.64  % (23633)Instructions burned: 1 (million)
% 2.13/0.64  % (23633)------------------------------
% 2.13/0.64  % (23633)------------------------------
% 2.13/0.64  % (23625)Instruction limit reached!
% 2.13/0.64  % (23625)------------------------------
% 2.13/0.64  % (23625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64  % (23625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64  % (23625)Termination reason: Unknown
% 2.13/0.64  % (23625)Termination phase: Saturation
% 2.13/0.64  
% 2.13/0.64  % (23625)Memory used [KB]: 7419
% 2.13/0.64  % (23625)Time elapsed: 0.212 s
% 2.13/0.64  % (23625)Instructions burned: 83 (million)
% 2.13/0.64  % (23625)------------------------------
% 2.13/0.64  % (23625)------------------------------
% 2.13/0.65  % (23636)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.13/0.65  % (23628)First to succeed.
% 2.13/0.65  % (23634)Refutation not found, incomplete strategy% (23634)------------------------------
% 2.13/0.65  % (23634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.65  % (23634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.65  % (23634)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.65  
% 2.13/0.65  % (23634)Memory used [KB]: 10362
% 2.13/0.65  % (23634)Time elapsed: 0.004 s
% 2.13/0.65  % (23634)Instructions burned: 2 (million)
% 2.13/0.65  % (23634)------------------------------
% 2.13/0.65  % (23634)------------------------------
% 2.13/0.66  % (23639)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.13/0.66  % (23639)Refutation not found, incomplete strategy% (23639)------------------------------
% 2.13/0.66  % (23639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.66  % (23639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.66  % (23639)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.66  
% 2.13/0.66  % (23639)Memory used [KB]: 5884
% 2.13/0.66  % (23639)Time elapsed: 0.001 s
% 2.13/0.66  % (23639)------------------------------
% 2.13/0.66  % (23639)------------------------------
% 2.13/0.66  % (23638)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.13/0.66  % (23642)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.13/0.66  % (23638)Refutation not found, incomplete strategy% (23638)------------------------------
% 2.13/0.66  % (23638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.66  % (23638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.66  % (23638)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.66  
% 2.13/0.66  % (23638)Memory used [KB]: 5884
% 2.13/0.66  % (23638)Time elapsed: 0.006 s
% 2.13/0.66  % (23638)Instructions burned: 2 (million)
% 2.13/0.66  % (23638)------------------------------
% 2.13/0.66  % (23638)------------------------------
% 2.13/0.66  % (23641)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.13/0.66  % (23645)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/93Mi)
% 2.13/0.67  % (23643)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 2.13/0.67  % (23649)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/32Mi)
% 2.13/0.67  % (23648)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 2.13/0.67  % (23643)Refutation not found, incomplete strategy% (23643)------------------------------
% 2.13/0.67  % (23643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.67  % (23643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.67  % (23643)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.67  
% 2.13/0.67  % (23643)Memory used [KB]: 6140
% 2.13/0.67  % (23643)Time elapsed: 0.004 s
% 2.13/0.67  % (23643)Instructions burned: 8 (million)
% 2.13/0.67  % (23643)------------------------------
% 2.13/0.67  % (23643)------------------------------
% 2.13/0.67  % (23636)Refutation not found, incomplete strategy% (23636)------------------------------
% 2.13/0.67  % (23636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.67  % (23636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.67  % (23636)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.67  
% 2.13/0.67  % (23636)Memory used [KB]: 1663
% 2.13/0.67  % (23636)Time elapsed: 0.006 s
% 2.13/0.67  % (23636)Instructions burned: 9 (million)
% 2.13/0.67  % (23636)------------------------------
% 2.13/0.67  % (23636)------------------------------
% 2.13/0.67  % (23647)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 2.13/0.67  % (23640)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.13/0.68  % (23641)Refutation not found, incomplete strategy% (23641)------------------------------
% 2.13/0.68  % (23641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68  % (23635)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.13/0.68  % (23650)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/149Mi)
% 2.13/0.68  % (23650)Refutation not found, incomplete strategy% (23650)------------------------------
% 2.13/0.68  % (23650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68  % (23650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68  % (23650)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.68  
% 2.13/0.68  % (23650)Memory used [KB]: 5884
% 2.13/0.68  % (23650)Time elapsed: 0.002 s
% 2.13/0.68  % (23650)------------------------------
% 2.13/0.68  % (23650)------------------------------
% 2.13/0.68  % (23635)Refutation not found, incomplete strategy% (23635)------------------------------
% 2.13/0.68  % (23635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68  % (23635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68  % (23635)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.68  
% 2.13/0.68  % (23635)Memory used [KB]: 5884
% 2.13/0.68  % (23635)Time elapsed: 0.002 s
% 2.13/0.68  % (23635)Instructions burned: 1 (million)
% 2.13/0.68  % (23635)------------------------------
% 2.13/0.68  % (23635)------------------------------
% 2.13/0.68  % (23654)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=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/237Mi)
% 2.13/0.68  % (23648)Refutation not found, incomplete strategy% (23648)------------------------------
% 2.13/0.68  % (23648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68  % (23648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68  % (23648)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.68  
% 2.13/0.68  % (23648)Memory used [KB]: 6140
% 2.13/0.68  % (23648)Time elapsed: 0.005 s
% 2.13/0.68  % (23648)Instructions burned: 8 (million)
% 2.13/0.68  % (23648)------------------------------
% 2.13/0.68  % (23648)------------------------------
% 2.13/0.68  % (23646)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/109Mi)
% 2.13/0.68  % (23658)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/97Mi)
% 2.13/0.68  % (23646)Refutation not found, incomplete strategy% (23646)------------------------------
% 2.13/0.68  % (23646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68  % (23646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68  % (23646)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.68  
% 2.13/0.68  % (23646)Memory used [KB]: 5884
% 2.13/0.68  % (23646)Time elapsed: 0.002 s
% 2.13/0.68  % (23646)------------------------------
% 2.13/0.68  % (23646)------------------------------
% 2.13/0.68  % (23653)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/341Mi)
% 2.13/0.68  % (23653)Refutation not found, incomplete strategy% (23653)------------------------------
% 2.13/0.68  % (23653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68  % (23653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68  % (23653)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.68  
% 2.13/0.68  % (23653)Memory used [KB]: 5884
% 2.13/0.68  % (23653)Time elapsed: 0.002 s
% 2.13/0.68  % (23653)------------------------------
% 2.13/0.68  % (23653)------------------------------
% 2.13/0.68  % (23628)Refutation found. Thanks to Tanya!
% 2.13/0.68  % SZS status Unsatisfiable for theBenchmark
% 2.13/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.69  % (23628)------------------------------
% 2.13/0.69  % (23628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.69  % (23628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.69  % (23628)Termination reason: Refutation
% 2.13/0.69  
% 2.13/0.69  % (23628)Memory used [KB]: 7547
% 2.13/0.69  % (23628)Time elapsed: 0.093 s
% 2.13/0.69  % (23628)Instructions burned: 94 (million)
% 2.13/0.69  % (23628)------------------------------
% 2.13/0.69  % (23628)------------------------------
% 2.13/0.69  % (23602)Success in time 0.343 s
%------------------------------------------------------------------------------