TSTP Solution File: ALG135+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG135+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_sat --cores 0 -t %d %s

% Computer : n024.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 15:43:00 EDT 2022

% Result   : Unsatisfiable 2.23s 0.69s
% Output   : Refutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  105
% Syntax   : Number of formulae    :  709 (  51 unt;   0 def)
%            Number of atoms       : 2084 ( 960 equ)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 2443 (1068   ~;1127   |; 164   &)
%                                         (  84 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   90 (  88 usr;  89 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2731,plain,
    $false,
    inference(avatar_sat_refutation,[],[f241,f301,f318,f335,f344,f349,f367,f385,f398,f412,f429,f446,f460,f478,f487,f488,f501,f510,f512,f525,f526,f532,f537,f547,f548,f558,f564,f565,f574,f576,f594,f603,f610,f611,f618,f619,f620,f626,f632,f641,f642,f646,f651,f656,f657,f663,f664,f665,f669,f670,f674,f675,f681,f682,f684,f685,f688,f690,f691,f695,f699,f700,f702,f704,f706,f708,f715,f716,f718,f722,f751,f752,f754,f760,f773,f787,f816,f843,f849,f869,f871,f965,f976,f1002,f1014,f1015,f1030,f1057,f1062,f1071,f1080,f1082,f1089,f1098,f1109,f1144,f1195,f1225,f1244,f1248,f1263,f1276,f1292,f1298,f1302,f1312,f1321,f1362,f1400,f1420,f1492,f1512,f1517,f1523,f1552,f1555,f1602,f1605,f1654,f1663,f1667,f1672,f1676,f1684,f1692,f1716,f1739,f1759,f1810,f1847,f1853,f1909,f1916,f1922,f1924,f1930,f1932,f1934,f1947,f2019,f2027,f2036,f2053,f2058,f2063,f2077,f2134,f2136,f2147,f2148,f2153,f2163,f2168,f2175,f2195,f2221,f2226,f2229,f2236,f2256,f2259,f2268,f2275,f2293,f2310,f2340,f2343,f2346,f2370,f2376,f2390,f2398,f2423,f2431,f2436,f2439,f2444,f2445,f2454,f2456,f2516,f2524,f2526,f2529,f2534,f2538,f2547,f2552,f2553,f2560,f2563,f2573,f2631,f2646,f2648,f2654,f2664,f2673,f2715]) ).

fof(f2715,plain,
    ( ~ spl4_33
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f2714,f328,f369]) ).

fof(f369,plain,
    ( spl4_33
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

fof(f328,plain,
    ( spl4_24
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

fof(f2714,plain,
    ( e0 != op(e0,e1)
    | ~ spl4_24 ),
    inference(forward_demodulation,[],[f196,f330]) ).

fof(f330,plain,
    ( e0 = op(e2,e1)
    | ~ spl4_24 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f196,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f2673,plain,
    ( ~ spl4_33
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f2669,f315,f369]) ).

fof(f315,plain,
    ( spl4_21
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

fof(f2669,plain,
    ( e0 != op(e0,e1)
    | ~ spl4_21 ),
    inference(backward_demodulation,[],[f176,f317]) ).

fof(f317,plain,
    ( e0 = op(e0,e3)
    | ~ spl4_21 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f176,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2664,plain,
    ( ~ spl4_79
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f2663,f409,f587]) ).

fof(f587,plain,
    ( spl4_79
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).

fof(f409,plain,
    ( spl4_42
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).

fof(f2663,plain,
    ( e3 != op(e2,e0)
    | ~ spl4_42 ),
    inference(forward_demodulation,[],[f182,f410]) ).

fof(f410,plain,
    ( op(e0,e0) = e3
    | ~ spl4_42 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f182,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2654,plain,
    ( ~ spl4_28
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f2653,f264,f346]) ).

fof(f346,plain,
    ( spl4_28
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

fof(f264,plain,
    ( spl4_9
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f2653,plain,
    ( e2 != op(e2,e1)
    | ~ spl4_9 ),
    inference(forward_demodulation,[],[f177,f266]) ).

fof(f266,plain,
    ( e2 = op(e1,e1)
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f177,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2648,plain,
    ( ~ spl4_56
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f2647,f247,f471]) ).

fof(f471,plain,
    ( spl4_56
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).

fof(f247,plain,
    ( spl4_5
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f2647,plain,
    ( e3 != op(e3,e3)
    | ~ spl4_5 ),
    inference(forward_demodulation,[],[f185,f249]) ).

fof(f249,plain,
    ( e3 = op(e1,e3)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f185,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2646,plain,
    ( ~ spl4_40
    | spl4_41
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f2645,f409,f405,f400]) ).

fof(f400,plain,
    ( spl4_40
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

fof(f405,plain,
    ( spl4_41
  <=> e2 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).

fof(f2645,plain,
    ( e2 != op(e3,e3)
    | spl4_41
    | ~ spl4_42 ),
    inference(forward_demodulation,[],[f407,f410]) ).

fof(f407,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | spl4_41 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f2631,plain,
    ( ~ spl4_4
    | ~ spl4_86 ),
    inference(avatar_split_clause,[],[f2630,f629,f243]) ).

fof(f243,plain,
    ( spl4_4
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f629,plain,
    ( spl4_86
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).

fof(f2630,plain,
    ( e1 != op(e1,e3)
    | ~ spl4_86 ),
    inference(forward_demodulation,[],[f194,f631]) ).

fof(f631,plain,
    ( e1 = op(e2,e3)
    | ~ spl4_86 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f194,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2573,plain,
    ( ~ spl4_37
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f2572,f607,f387]) ).

fof(f387,plain,
    ( spl4_37
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

fof(f607,plain,
    ( spl4_83
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).

fof(f2572,plain,
    ( e0 != op(e0,e2)
    | ~ spl4_83 ),
    inference(backward_demodulation,[],[f192,f609]) ).

fof(f609,plain,
    ( e0 = op(e3,e2)
    | ~ spl4_83 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f192,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2563,plain,
    ( ~ spl4_31
    | spl4_32
    | ~ spl4_46
    | ~ spl4_76 ),
    inference(avatar_contradiction_clause,[],[f2562]) ).

fof(f2562,plain,
    ( $false
    | ~ spl4_31
    | spl4_32
    | ~ spl4_46
    | ~ spl4_76 ),
    inference(subsumption_resolution,[],[f2554,f573]) ).

fof(f573,plain,
    ( e2 = op(e3,e1)
    | ~ spl4_76 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f571,plain,
    ( spl4_76
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).

fof(f2554,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_31
    | spl4_32
    | ~ spl4_46 ),
    inference(backward_demodulation,[],[f2549,f428]) ).

fof(f428,plain,
    ( e3 = op(e1,e1)
    | ~ spl4_46 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl4_46
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).

fof(f2549,plain,
    ( e2 != op(op(e1,e1),e1)
    | ~ spl4_31
    | spl4_32 ),
    inference(forward_demodulation,[],[f366,f361]) ).

fof(f361,plain,
    ( op(e0,e0) = e1
    | ~ spl4_31 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl4_31
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).

fof(f366,plain,
    ( e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | spl4_32 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f364,plain,
    ( spl4_32
  <=> e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).

fof(f2560,plain,
    ( ~ spl4_5
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f2555,f426,f247]) ).

fof(f2555,plain,
    ( e3 != op(e1,e3)
    | ~ spl4_46 ),
    inference(backward_demodulation,[],[f189,f428]) ).

fof(f189,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2553,plain,
    ( ~ spl4_88
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f2551,f431,f638]) ).

fof(f638,plain,
    ( spl4_88
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).

fof(f431,plain,
    ( spl4_47
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).

fof(f2551,plain,
    ( e3 != op(e1,e0)
    | ~ spl4_47 ),
    inference(backward_demodulation,[],[f163,f433]) ).

fof(f433,plain,
    ( e3 = op(e3,e0)
    | ~ spl4_47 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f163,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2552,plain,
    ( ~ spl4_64
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f2550,f431,f507]) ).

fof(f507,plain,
    ( spl4_64
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).

fof(f2550,plain,
    ( e3 != op(e3,e2)
    | ~ spl4_47 ),
    inference(backward_demodulation,[],[f190,f433]) ).

fof(f190,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2547,plain,
    ( ~ spl4_74
    | ~ spl4_71 ),
    inference(avatar_split_clause,[],[f2544,f543,f561]) ).

fof(f561,plain,
    ( spl4_74
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).

fof(f543,plain,
    ( spl4_71
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).

fof(f2544,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_71 ),
    inference(backward_demodulation,[],[f205,f544]) ).

fof(f544,plain,
    ( e1 = op(e3,e3)
    | ~ spl4_71 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f205,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2538,plain,
    ( ~ spl4_60
    | ~ spl4_76 ),
    inference(avatar_split_clause,[],[f2537,f571,f490]) ).

fof(f490,plain,
    ( spl4_60
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).

fof(f2537,plain,
    ( e2 != op(e3,e2)
    | ~ spl4_76 ),
    inference(forward_demodulation,[],[f165,f573]) ).

fof(f165,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2534,plain,
    ( ~ spl4_71
    | spl4_26
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f2471,f583,f337,f543]) ).

fof(f337,plain,
    ( spl4_26
  <=> e1 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).

fof(f583,plain,
    ( spl4_78
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).

fof(f2471,plain,
    ( e1 != op(e3,e3)
    | spl4_26
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f339,f585]) ).

fof(f585,plain,
    ( e3 = op(e2,e2)
    | ~ spl4_78 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f339,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | spl4_26 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f2529,plain,
    ( ~ spl4_40
    | ~ spl4_76 ),
    inference(avatar_split_clause,[],[f2528,f571,f400]) ).

fof(f2528,plain,
    ( e2 != op(e3,e3)
    | ~ spl4_76 ),
    inference(forward_demodulation,[],[f180,f573]) ).

fof(f180,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2526,plain,
    ( ~ spl4_66
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f2525,f369,f518]) ).

fof(f518,plain,
    ( spl4_66
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).

fof(f2525,plain,
    ( e0 != op(e1,e1)
    | ~ spl4_33 ),
    inference(forward_demodulation,[],[f174,f371]) ).

fof(f371,plain,
    ( e0 = op(e0,e1)
    | ~ spl4_33 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f174,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2524,plain,
    ( ~ spl4_37
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f2522,f369,f387]) ).

fof(f2522,plain,
    ( e0 != op(e0,e2)
    | ~ spl4_33 ),
    inference(backward_demodulation,[],[f167,f371]) ).

fof(f167,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2516,plain,
    ( ~ spl4_17
    | ~ spl4_78
    | spl4_90 ),
    inference(avatar_contradiction_clause,[],[f2515]) ).

fof(f2515,plain,
    ( $false
    | ~ spl4_17
    | ~ spl4_78
    | spl4_90 ),
    inference(subsumption_resolution,[],[f2514,f299]) ).

fof(f299,plain,
    ( e0 = op(e3,e3)
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl4_17
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f2514,plain,
    ( e0 != op(e3,e3)
    | ~ spl4_78
    | spl4_90 ),
    inference(forward_demodulation,[],[f655,f585]) ).

fof(f655,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | spl4_90 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f653,plain,
    ( spl4_90
  <=> e0 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_90])]) ).

fof(f2456,plain,
    ( ~ spl4_46
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f2455,f418,f426]) ).

fof(f418,plain,
    ( spl4_44
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).

fof(f2455,plain,
    ( e3 != op(e1,e1)
    | ~ spl4_44 ),
    inference(forward_demodulation,[],[f172,f420]) ).

fof(f420,plain,
    ( e3 = op(e3,e1)
    | ~ spl4_44 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f172,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2454,plain,
    ( ~ spl4_47
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f2453,f418,f431]) ).

fof(f2453,plain,
    ( e3 != op(e3,e0)
    | ~ spl4_44 ),
    inference(backward_demodulation,[],[f204,f420]) ).

fof(f204,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2445,plain,
    ( ~ spl4_19
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f2443,f247,f307]) ).

fof(f307,plain,
    ( spl4_19
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

fof(f2443,plain,
    ( e3 != op(e0,e3)
    | ~ spl4_5 ),
    inference(backward_demodulation,[],[f170,f249]) ).

fof(f170,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2444,plain,
    ( ~ spl4_80
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f2442,f247,f591]) ).

fof(f591,plain,
    ( spl4_80
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).

fof(f2442,plain,
    ( e3 != op(e2,e3)
    | ~ spl4_5 ),
    inference(backward_demodulation,[],[f194,f249]) ).

fof(f2439,plain,
    ( ~ spl4_18
    | ~ spl4_17
    | ~ spl4_78
    | spl4_85 ),
    inference(avatar_split_clause,[],[f2438,f622,f583,f298,f303]) ).

fof(f303,plain,
    ( spl4_18
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f622,plain,
    ( spl4_85
  <=> e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).

fof(f2438,plain,
    ( e1 != op(e0,e3)
    | ~ spl4_17
    | ~ spl4_78
    | spl4_85 ),
    inference(forward_demodulation,[],[f2437,f299]) ).

fof(f2437,plain,
    ( e1 != op(op(e3,e3),e3)
    | ~ spl4_78
    | spl4_85 ),
    inference(forward_demodulation,[],[f624,f585]) ).

fof(f624,plain,
    ( e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | spl4_85 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f2436,plain,
    ( ~ spl4_80
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f2432,f583,f591]) ).

fof(f2432,plain,
    ( e3 != op(e2,e3)
    | ~ spl4_78 ),
    inference(backward_demodulation,[],[f173,f585]) ).

fof(f173,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2431,plain,
    ( ~ spl4_81
    | ~ spl4_68 ),
    inference(avatar_split_clause,[],[f2430,f529,f596]) ).

fof(f596,plain,
    ( spl4_81
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).

fof(f529,plain,
    ( spl4_68
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).

fof(f2430,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_68 ),
    inference(forward_demodulation,[],[f195,f531]) ).

fof(f531,plain,
    ( e1 = op(e2,e1)
    | ~ spl4_68 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f195,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2423,plain,
    ( ~ spl4_47
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f2422,f409,f431]) ).

fof(f2422,plain,
    ( e3 != op(e3,e0)
    | ~ spl4_42 ),
    inference(forward_demodulation,[],[f186,f410]) ).

fof(f186,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2398,plain,
    ( ~ spl4_31
    | ~ spl4_22
    | spl4_26 ),
    inference(avatar_split_clause,[],[f2395,f337,f320,f360]) ).

fof(f320,plain,
    ( spl4_22
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

fof(f2395,plain,
    ( op(e0,e0) != e1
    | ~ spl4_22
    | spl4_26 ),
    inference(backward_demodulation,[],[f339,f322]) ).

fof(f322,plain,
    ( e0 = op(e2,e2)
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f2390,plain,
    ( ~ spl4_31
    | spl4_15
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f2389,f298,f290,f360]) ).

fof(f290,plain,
    ( spl4_15
  <=> e1 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f2389,plain,
    ( op(e0,e0) != e1
    | spl4_15
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f292,f299]) ).

fof(f292,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | spl4_15 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f2376,plain,
    ( ~ spl4_12
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f2375,f243,f277]) ).

fof(f277,plain,
    ( spl4_12
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f2375,plain,
    ( e1 != op(e1,e2)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f164,f245]) ).

fof(f245,plain,
    ( e1 = op(e1,e3)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f164,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2370,plain,
    ( ~ spl4_17
    | ~ spl4_82 ),
    inference(avatar_contradiction_clause,[],[f2369]) ).

fof(f2369,plain,
    ( $false
    | ~ spl4_17
    | ~ spl4_82 ),
    inference(subsumption_resolution,[],[f2368,f602]) ).

fof(f602,plain,
    ( e0 = op(e3,e1)
    | ~ spl4_82 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl4_82
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).

fof(f2368,plain,
    ( e0 != op(e3,e1)
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f180,f299]) ).

fof(f2346,plain,
    ( ~ spl4_33
    | ~ spl4_82 ),
    inference(avatar_contradiction_clause,[],[f2345]) ).

fof(f2345,plain,
    ( $false
    | ~ spl4_33
    | ~ spl4_82 ),
    inference(subsumption_resolution,[],[f2344,f371]) ).

fof(f2344,plain,
    ( e0 != op(e0,e1)
    | ~ spl4_82 ),
    inference(forward_demodulation,[],[f159,f602]) ).

fof(f159,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2343,plain,
    ( ~ spl4_17
    | ~ spl4_46
    | spl4_89 ),
    inference(avatar_contradiction_clause,[],[f2342]) ).

fof(f2342,plain,
    ( $false
    | ~ spl4_17
    | ~ spl4_46
    | spl4_89 ),
    inference(subsumption_resolution,[],[f2341,f299]) ).

fof(f2341,plain,
    ( e0 != op(e3,e3)
    | ~ spl4_46
    | spl4_89 ),
    inference(forward_demodulation,[],[f650,f428]) ).

fof(f650,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | spl4_89 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f648,plain,
    ( spl4_89
  <=> e0 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).

fof(f2340,plain,
    ( ~ spl4_12
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f2338,f555,f277]) ).

fof(f555,plain,
    ( spl4_73
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).

fof(f2338,plain,
    ( e1 != op(e1,e2)
    | ~ spl4_73 ),
    inference(backward_demodulation,[],[f171,f557]) ).

fof(f557,plain,
    ( e1 = op(e0,e2)
    | ~ spl4_73 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f171,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2310,plain,
    ( ~ spl4_61
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f2309,f503,f494]) ).

fof(f494,plain,
    ( spl4_61
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).

fof(f503,plain,
    ( spl4_63
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).

fof(f2309,plain,
    ( e2 != op(e2,e2)
    | ~ spl4_63 ),
    inference(forward_demodulation,[],[f201,f504]) ).

fof(f504,plain,
    ( e2 = op(e2,e0)
    | ~ spl4_63 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f201,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2293,plain,
    ( ~ spl4_15
    | ~ spl4_56
    | spl4_71 ),
    inference(avatar_contradiction_clause,[],[f2292]) ).

fof(f2292,plain,
    ( $false
    | ~ spl4_15
    | ~ spl4_56
    | spl4_71 ),
    inference(subsumption_resolution,[],[f2284,f545]) ).

fof(f545,plain,
    ( e1 != op(e3,e3)
    | spl4_71 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f2284,plain,
    ( e1 = op(e3,e3)
    | ~ spl4_15
    | ~ spl4_56 ),
    inference(backward_demodulation,[],[f291,f473]) ).

fof(f473,plain,
    ( e3 = op(e3,e3)
    | ~ spl4_56 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f291,plain,
    ( e1 = op(op(e3,e3),op(e3,e3))
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f2275,plain,
    ( ~ spl4_9
    | ~ spl4_31
    | spl4_41 ),
    inference(avatar_contradiction_clause,[],[f2274]) ).

fof(f2274,plain,
    ( $false
    | ~ spl4_9
    | ~ spl4_31
    | spl4_41 ),
    inference(subsumption_resolution,[],[f2204,f266]) ).

fof(f2204,plain,
    ( e2 != op(e1,e1)
    | ~ spl4_31
    | spl4_41 ),
    inference(forward_demodulation,[],[f407,f361]) ).

fof(f2268,plain,
    ( ~ spl4_81
    | ~ spl4_82 ),
    inference(avatar_contradiction_clause,[],[f2267]) ).

fof(f2267,plain,
    ( $false
    | ~ spl4_81
    | ~ spl4_82 ),
    inference(subsumption_resolution,[],[f2266,f153]) ).

fof(f153,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f2266,plain,
    ( e0 = e1
    | ~ spl4_81
    | ~ spl4_82 ),
    inference(backward_demodulation,[],[f598,f602]) ).

fof(f598,plain,
    ( e1 = op(e3,e1)
    | ~ spl4_81 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f2259,plain,
    ( ~ spl4_56
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f2258,f507,f471]) ).

fof(f2258,plain,
    ( e3 != op(e3,e3)
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f205,f509]) ).

fof(f509,plain,
    ( e3 = op(e3,e2)
    | ~ spl4_64 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f2256,plain,
    ( ~ spl4_71
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f2255,f243,f543]) ).

fof(f2255,plain,
    ( e1 != op(e3,e3)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f185,f245]) ).

fof(f2236,plain,
    ( ~ spl4_33
    | ~ spl4_45 ),
    inference(avatar_contradiction_clause,[],[f2235]) ).

fof(f2235,plain,
    ( $false
    | ~ spl4_33
    | ~ spl4_45 ),
    inference(subsumption_resolution,[],[f2234,f154]) ).

fof(f154,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f2234,plain,
    ( e0 = e3
    | ~ spl4_33
    | ~ spl4_45 ),
    inference(forward_demodulation,[],[f424,f371]) ).

fof(f424,plain,
    ( e3 = op(e0,e1)
    | ~ spl4_45 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f422,plain,
    ( spl4_45
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).

fof(f2229,plain,
    ( ~ spl4_48
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f2228,f503,f435]) ).

fof(f435,plain,
    ( spl4_48
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).

fof(f2228,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_63 ),
    inference(forward_demodulation,[],[f198,f504]) ).

fof(f198,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2226,plain,
    ( ~ spl4_46
    | spl4_34
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f2201,f382,f374,f426]) ).

fof(f374,plain,
    ( spl4_34
  <=> e3 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

fof(f382,plain,
    ( spl4_36
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

fof(f2201,plain,
    ( e3 != op(e1,e1)
    | spl4_34
    | ~ spl4_36 ),
    inference(forward_demodulation,[],[f376,f383]) ).

fof(f383,plain,
    ( e1 = op(e2,e2)
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f376,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | spl4_34 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f2221,plain,
    ( ~ spl4_23
    | ~ spl4_80 ),
    inference(avatar_contradiction_clause,[],[f2220]) ).

fof(f2220,plain,
    ( $false
    | ~ spl4_23
    | ~ spl4_80 ),
    inference(subsumption_resolution,[],[f2218,f154]) ).

fof(f2218,plain,
    ( e0 = e3
    | ~ spl4_23
    | ~ spl4_80 ),
    inference(backward_demodulation,[],[f593,f326]) ).

fof(f326,plain,
    ( e0 = op(e2,e3)
    | ~ spl4_23 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f324,plain,
    ( spl4_23
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).

fof(f593,plain,
    ( e3 = op(e2,e3)
    | ~ spl4_80 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f2195,plain,
    ( ~ spl4_17
    | ~ spl4_20
    | ~ spl4_46
    | spl4_77 ),
    inference(avatar_contradiction_clause,[],[f2194]) ).

fof(f2194,plain,
    ( $false
    | ~ spl4_17
    | ~ spl4_20
    | ~ spl4_46
    | spl4_77 ),
    inference(subsumption_resolution,[],[f2193,f313]) ).

fof(f313,plain,
    ( e2 = op(e0,e3)
    | ~ spl4_20 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f311,plain,
    ( spl4_20
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

fof(f2193,plain,
    ( e2 != op(e0,e3)
    | ~ spl4_17
    | ~ spl4_46
    | spl4_77 ),
    inference(forward_demodulation,[],[f2192,f299]) ).

fof(f2192,plain,
    ( e2 != op(op(e3,e3),e3)
    | ~ spl4_46
    | spl4_77 ),
    inference(forward_demodulation,[],[f580,f428]) ).

fof(f580,plain,
    ( e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | spl4_77 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f578,plain,
    ( spl4_77
  <=> e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).

fof(f2175,plain,
    ( spl4_13
    | ~ spl4_26
    | ~ spl4_36 ),
    inference(avatar_contradiction_clause,[],[f2174]) ).

fof(f2174,plain,
    ( $false
    | spl4_13
    | ~ spl4_26
    | ~ spl4_36 ),
    inference(subsumption_resolution,[],[f2172,f282]) ).

fof(f282,plain,
    ( e1 != op(e1,e1)
    | spl4_13 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f281,plain,
    ( spl4_13
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

fof(f2172,plain,
    ( e1 = op(e1,e1)
    | ~ spl4_26
    | ~ spl4_36 ),
    inference(backward_demodulation,[],[f338,f383]) ).

fof(f338,plain,
    ( e1 = op(op(e2,e2),op(e2,e2))
    | ~ spl4_26 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f2168,plain,
    ( ~ spl4_53
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f2167,f360,f457]) ).

fof(f457,plain,
    ( spl4_53
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).

fof(f2167,plain,
    ( e1 != op(e2,e0)
    | ~ spl4_31 ),
    inference(forward_demodulation,[],[f182,f361]) ).

fof(f2163,plain,
    ( ~ spl4_46
    | spl4_1
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f2160,f360,f230,f426]) ).

fof(f230,plain,
    ( spl4_1
  <=> e3 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f2160,plain,
    ( e3 != op(e1,e1)
    | spl4_1
    | ~ spl4_31 ),
    inference(backward_demodulation,[],[f232,f361]) ).

fof(f232,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f2153,plain,
    ( ~ spl4_37
    | ~ spl4_69 ),
    inference(avatar_contradiction_clause,[],[f2152]) ).

fof(f2152,plain,
    ( $false
    | ~ spl4_37
    | ~ spl4_69 ),
    inference(subsumption_resolution,[],[f2149,f154]) ).

fof(f2149,plain,
    ( e0 = e3
    | ~ spl4_37
    | ~ spl4_69 ),
    inference(backward_demodulation,[],[f536,f389]) ).

fof(f389,plain,
    ( e0 = op(e0,e2)
    | ~ spl4_37 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f536,plain,
    ( e3 = op(e0,e2)
    | ~ spl4_69 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f534,plain,
    ( spl4_69
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).

fof(f2148,plain,
    ( ~ spl4_10
    | ~ spl4_15
    | spl4_16
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f2122,f298,f294,f290,f268]) ).

fof(f268,plain,
    ( spl4_10
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f294,plain,
    ( spl4_16
  <=> e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f2122,plain,
    ( e2 != op(e1,e0)
    | ~ spl4_15
    | spl4_16
    | ~ spl4_17 ),
    inference(backward_demodulation,[],[f1943,f299]) ).

fof(f1943,plain,
    ( e2 != op(e1,op(e3,e3))
    | ~ spl4_15
    | spl4_16 ),
    inference(forward_demodulation,[],[f296,f291]) ).

fof(f296,plain,
    ( e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | spl4_16 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f2147,plain,
    ( ~ spl4_79
    | ~ spl4_80 ),
    inference(avatar_split_clause,[],[f2146,f591,f587]) ).

fof(f2146,plain,
    ( e3 != op(e2,e0)
    | ~ spl4_80 ),
    inference(backward_demodulation,[],[f160,f593]) ).

fof(f160,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2136,plain,
    ( ~ spl4_79
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f2106,f431,f587]) ).

fof(f2106,plain,
    ( e3 != op(e2,e0)
    | ~ spl4_47 ),
    inference(forward_demodulation,[],[f198,f433]) ).

fof(f2134,plain,
    ( ~ spl4_39
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f2133,f311,f395]) ).

fof(f395,plain,
    ( spl4_39
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

fof(f2133,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_20 ),
    inference(backward_demodulation,[],[f191,f313]) ).

fof(f191,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2077,plain,
    ( ~ spl4_9
    | spl4_67
    | ~ spl4_69
    | ~ spl4_89 ),
    inference(avatar_contradiction_clause,[],[f2076]) ).

fof(f2076,plain,
    ( $false
    | ~ spl4_9
    | spl4_67
    | ~ spl4_69
    | ~ spl4_89 ),
    inference(subsumption_resolution,[],[f2073,f536]) ).

fof(f2073,plain,
    ( e3 != op(e0,e2)
    | ~ spl4_9
    | spl4_67
    | ~ spl4_89 ),
    inference(backward_demodulation,[],[f2024,f266]) ).

fof(f2024,plain,
    ( e3 != op(e0,op(e1,e1))
    | spl4_67
    | ~ spl4_89 ),
    inference(backward_demodulation,[],[f524,f649]) ).

fof(f649,plain,
    ( e0 = op(op(e1,e1),op(e1,e1))
    | ~ spl4_89 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f524,plain,
    ( e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | spl4_67 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl4_67
  <=> e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).

fof(f2063,plain,
    ( ~ spl4_48
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f2062,f490,f435]) ).

fof(f2062,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_60 ),
    inference(forward_demodulation,[],[f190,f492]) ).

fof(f492,plain,
    ( e2 = op(e3,e2)
    | ~ spl4_60 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f2058,plain,
    ( ~ spl4_13
    | ~ spl4_81 ),
    inference(avatar_split_clause,[],[f2057,f596,f281]) ).

fof(f2057,plain,
    ( e1 != op(e1,e1)
    | ~ spl4_81 ),
    inference(forward_demodulation,[],[f172,f598]) ).

fof(f2053,plain,
    ( ~ spl4_71
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f2050,f303,f543]) ).

fof(f2050,plain,
    ( e1 != op(e3,e3)
    | ~ spl4_18 ),
    inference(backward_demodulation,[],[f203,f305]) ).

fof(f305,plain,
    ( e1 = op(e0,e3)
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f203,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2036,plain,
    ( ~ spl4_43
    | ~ spl4_80 ),
    inference(avatar_split_clause,[],[f1990,f591,f414]) ).

fof(f414,plain,
    ( spl4_43
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).

fof(f1990,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_80 ),
    inference(forward_demodulation,[],[f166,f593]) ).

fof(f166,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2027,plain,
    ( ~ spl4_39
    | ~ spl4_80 ),
    inference(avatar_contradiction_clause,[],[f2026]) ).

fof(f2026,plain,
    ( $false
    | ~ spl4_39
    | ~ spl4_80 ),
    inference(subsumption_resolution,[],[f2025,f152]) ).

fof(f152,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f2025,plain,
    ( e2 = e3
    | ~ spl4_39
    | ~ spl4_80 ),
    inference(backward_demodulation,[],[f593,f396]) ).

fof(f396,plain,
    ( e2 = op(e2,e3)
    | ~ spl4_39 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f2019,plain,
    ( ~ spl4_40
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f2018,f490,f400]) ).

fof(f2018,plain,
    ( e2 != op(e3,e3)
    | ~ spl4_60 ),
    inference(forward_demodulation,[],[f205,f492]) ).

fof(f1947,plain,
    ( ~ spl4_72
    | ~ spl4_68 ),
    inference(avatar_split_clause,[],[f1946,f529,f551]) ).

fof(f551,plain,
    ( spl4_72
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).

fof(f1946,plain,
    ( e1 != op(e0,e1)
    | ~ spl4_68 ),
    inference(forward_demodulation,[],[f196,f531]) ).

fof(f1934,plain,
    ( ~ spl4_64
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f1933,f418,f507]) ).

fof(f1933,plain,
    ( e3 != op(e3,e2)
    | ~ spl4_44 ),
    inference(forward_demodulation,[],[f165,f420]) ).

fof(f1932,plain,
    ( ~ spl4_39
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1931,f503,f395]) ).

fof(f1931,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_63 ),
    inference(forward_demodulation,[],[f160,f504]) ).

fof(f1930,plain,
    ( ~ spl4_49
    | ~ spl4_50 ),
    inference(avatar_contradiction_clause,[],[f1929]) ).

fof(f1929,plain,
    ( $false
    | ~ spl4_49
    | ~ spl4_50 ),
    inference(subsumption_resolution,[],[f1928,f153]) ).

fof(f1928,plain,
    ( e0 = e1
    | ~ spl4_49
    | ~ spl4_50 ),
    inference(backward_demodulation,[],[f445,f441]) ).

fof(f441,plain,
    ( e0 = op(e3,e0)
    | ~ spl4_49 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl4_49
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).

fof(f445,plain,
    ( e1 = op(e3,e0)
    | ~ spl4_50 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl4_50
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).

fof(f1924,plain,
    ( ~ spl4_74
    | ~ spl4_12 ),
    inference(avatar_split_clause,[],[f1923,f277,f561]) ).

fof(f1923,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_12 ),
    inference(forward_demodulation,[],[f187,f278]) ).

fof(f278,plain,
    ( e1 = op(e1,e2)
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f187,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1922,plain,
    ( ~ spl4_88
    | ~ spl4_22
    | spl4_27
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f1921,f360,f341,f320,f638]) ).

fof(f341,plain,
    ( spl4_27
  <=> e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

fof(f1921,plain,
    ( e3 != op(e1,e0)
    | ~ spl4_22
    | spl4_27
    | ~ spl4_31 ),
    inference(forward_demodulation,[],[f1920,f361]) ).

fof(f1920,plain,
    ( e3 != op(op(e0,e0),e0)
    | ~ spl4_22
    | spl4_27 ),
    inference(forward_demodulation,[],[f343,f322]) ).

fof(f343,plain,
    ( e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | spl4_27 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f1916,plain,
    ( ~ spl4_56
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f1915,f418,f471]) ).

fof(f1915,plain,
    ( e3 != op(e3,e3)
    | ~ spl4_44 ),
    inference(forward_demodulation,[],[f180,f420]) ).

fof(f1909,plain,
    ( ~ spl4_45
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f1908,f418,f422]) ).

fof(f1908,plain,
    ( e3 != op(e0,e1)
    | ~ spl4_44 ),
    inference(backward_demodulation,[],[f159,f420]) ).

fof(f1853,plain,
    ( ~ spl4_62
    | ~ spl4_69 ),
    inference(avatar_contradiction_clause,[],[f1852]) ).

fof(f1852,plain,
    ( $false
    | ~ spl4_62
    | ~ spl4_69 ),
    inference(subsumption_resolution,[],[f1851,f152]) ).

fof(f1851,plain,
    ( e2 = e3
    | ~ spl4_62
    | ~ spl4_69 ),
    inference(backward_demodulation,[],[f536,f500]) ).

fof(f500,plain,
    ( e2 = op(e0,e2)
    | ~ spl4_62 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f498,plain,
    ( spl4_62
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).

fof(f1847,plain,
    ( ~ spl4_9
    | ~ spl4_22
    | spl4_89 ),
    inference(avatar_contradiction_clause,[],[f1846]) ).

fof(f1846,plain,
    ( $false
    | ~ spl4_9
    | ~ spl4_22
    | spl4_89 ),
    inference(subsumption_resolution,[],[f1796,f322]) ).

fof(f1796,plain,
    ( e0 != op(e2,e2)
    | ~ spl4_9
    | spl4_89 ),
    inference(forward_demodulation,[],[f650,f266]) ).

fof(f1810,plain,
    ( ~ spl4_64
    | ~ spl4_83 ),
    inference(avatar_contradiction_clause,[],[f1809]) ).

fof(f1809,plain,
    ( $false
    | ~ spl4_64
    | ~ spl4_83 ),
    inference(subsumption_resolution,[],[f1808,f154]) ).

fof(f1808,plain,
    ( e0 = e3
    | ~ spl4_64
    | ~ spl4_83 ),
    inference(backward_demodulation,[],[f509,f609]) ).

fof(f1759,plain,
    ( ~ spl4_33
    | ~ spl4_72 ),
    inference(avatar_contradiction_clause,[],[f1758]) ).

fof(f1758,plain,
    ( $false
    | ~ spl4_33
    | ~ spl4_72 ),
    inference(subsumption_resolution,[],[f1757,f153]) ).

fof(f1757,plain,
    ( e0 = e1
    | ~ spl4_33
    | ~ spl4_72 ),
    inference(backward_demodulation,[],[f553,f371]) ).

fof(f553,plain,
    ( e1 = op(e0,e1)
    | ~ spl4_72 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f1739,plain,
    ( ~ spl4_80
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f1738,f307,f591]) ).

fof(f1738,plain,
    ( e3 != op(e2,e3)
    | ~ spl4_19 ),
    inference(forward_demodulation,[],[f191,f309]) ).

fof(f309,plain,
    ( e3 = op(e0,e3)
    | ~ spl4_19 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f1716,plain,
    ( spl4_35
    | ~ spl4_36
    | ~ spl4_46
    | ~ spl4_82 ),
    inference(avatar_contradiction_clause,[],[f1715]) ).

fof(f1715,plain,
    ( $false
    | spl4_35
    | ~ spl4_36
    | ~ spl4_46
    | ~ spl4_82 ),
    inference(subsumption_resolution,[],[f1714,f602]) ).

fof(f1714,plain,
    ( e0 != op(e3,e1)
    | spl4_35
    | ~ spl4_36
    | ~ spl4_46 ),
    inference(forward_demodulation,[],[f1708,f428]) ).

fof(f1708,plain,
    ( e0 != op(op(e1,e1),e1)
    | spl4_35
    | ~ spl4_36 ),
    inference(backward_demodulation,[],[f380,f383]) ).

fof(f380,plain,
    ( e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | spl4_35 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl4_35
  <=> e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

fof(f1692,plain,
    ( ~ spl4_66
    | ~ spl4_82 ),
    inference(avatar_split_clause,[],[f1691,f600,f518]) ).

fof(f1691,plain,
    ( e0 != op(e1,e1)
    | ~ spl4_82 ),
    inference(forward_demodulation,[],[f172,f602]) ).

fof(f1684,plain,
    ( ~ spl4_47
    | ~ spl4_50 ),
    inference(avatar_contradiction_clause,[],[f1683]) ).

fof(f1683,plain,
    ( $false
    | ~ spl4_47
    | ~ spl4_50 ),
    inference(subsumption_resolution,[],[f1682,f155]) ).

fof(f155,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1682,plain,
    ( e1 = e3
    | ~ spl4_47
    | ~ spl4_50 ),
    inference(backward_demodulation,[],[f433,f445]) ).

fof(f1676,plain,
    ( ~ spl4_48
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f1675,f400,f435]) ).

fof(f1675,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_40 ),
    inference(forward_demodulation,[],[f178,f402]) ).

fof(f402,plain,
    ( e2 = op(e3,e3)
    | ~ spl4_40 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f178,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1672,plain,
    ( ~ spl4_78
    | spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f1645,f234,f230,f583]) ).

fof(f234,plain,
    ( spl4_2
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f1645,plain,
    ( e3 != op(e2,e2)
    | spl4_1
    | ~ spl4_2 ),
    inference(forward_demodulation,[],[f232,f235]) ).

fof(f235,plain,
    ( op(e0,e0) = e2
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f1667,plain,
    ( ~ spl4_81
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1664,f551,f596]) ).

fof(f1664,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_72 ),
    inference(backward_demodulation,[],[f159,f553]) ).

fof(f1663,plain,
    ( ~ spl4_13
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f1662,f243,f281]) ).

fof(f1662,plain,
    ( e1 != op(e1,e1)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f189,f245]) ).

fof(f1654,plain,
    ( ~ spl4_61
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f1653,f346,f494]) ).

fof(f1653,plain,
    ( e2 != op(e2,e2)
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f169,f348]) ).

fof(f348,plain,
    ( e2 = op(e2,e1)
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f169,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1605,plain,
    ( ~ spl4_2
    | spl4_65
    | ~ spl4_66 ),
    inference(avatar_contradiction_clause,[],[f1604]) ).

fof(f1604,plain,
    ( $false
    | ~ spl4_2
    | spl4_65
    | ~ spl4_66 ),
    inference(subsumption_resolution,[],[f1603,f235]) ).

fof(f1603,plain,
    ( op(e0,e0) != e2
    | spl4_65
    | ~ spl4_66 ),
    inference(forward_demodulation,[],[f516,f519]) ).

fof(f519,plain,
    ( e0 = op(e1,e1)
    | ~ spl4_66 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f516,plain,
    ( e2 != op(op(e1,e1),op(e1,e1))
    | spl4_65 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f514,plain,
    ( spl4_65
  <=> e2 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).

fof(f1602,plain,
    ( ~ spl4_2
    | ~ spl4_66
    | spl4_67
    | ~ spl4_79 ),
    inference(avatar_contradiction_clause,[],[f1601]) ).

fof(f1601,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_66
    | spl4_67
    | ~ spl4_79 ),
    inference(subsumption_resolution,[],[f1594,f589]) ).

fof(f589,plain,
    ( e3 = op(e2,e0)
    | ~ spl4_79 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f1594,plain,
    ( e3 != op(e2,e0)
    | ~ spl4_2
    | ~ spl4_66
    | spl4_67 ),
    inference(backward_demodulation,[],[f1585,f235]) ).

fof(f1585,plain,
    ( e3 != op(op(e0,e0),e0)
    | ~ spl4_66
    | spl4_67 ),
    inference(backward_demodulation,[],[f524,f519]) ).

fof(f1555,plain,
    ( ~ spl4_78
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1421,f507,f583]) ).

fof(f1421,plain,
    ( e3 != op(e2,e2)
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f202,f509]) ).

fof(f202,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1552,plain,
    ( ~ spl4_9
    | ~ spl4_46 ),
    inference(avatar_contradiction_clause,[],[f1551]) ).

fof(f1551,plain,
    ( $false
    | ~ spl4_9
    | ~ spl4_46 ),
    inference(subsumption_resolution,[],[f1550,f152]) ).

fof(f1550,plain,
    ( e2 = e3
    | ~ spl4_9
    | ~ spl4_46 ),
    inference(forward_demodulation,[],[f428,f266]) ).

fof(f1523,plain,
    ( ~ spl4_11
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f1522,f457,f273]) ).

fof(f273,plain,
    ( spl4_11
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f1522,plain,
    ( e1 != op(e1,e0)
    | ~ spl4_53 ),
    inference(forward_demodulation,[],[f181,f459]) ).

fof(f459,plain,
    ( e1 = op(e2,e0)
    | ~ spl4_53 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f181,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1517,plain,
    ( ~ spl4_11
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f1425,f243,f273]) ).

fof(f1425,plain,
    ( e1 != op(e1,e0)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f175,f245]) ).

fof(f175,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1512,plain,
    ( ~ spl4_43
    | ~ spl4_9
    | ~ spl4_31
    | spl4_84 ),
    inference(avatar_split_clause,[],[f1511,f615,f360,f264,f414]) ).

fof(f615,plain,
    ( spl4_84
  <=> e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).

fof(f1511,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_9
    | ~ spl4_31
    | spl4_84 ),
    inference(forward_demodulation,[],[f1509,f266]) ).

fof(f1509,plain,
    ( e3 != op(op(e1,e1),e1)
    | ~ spl4_31
    | spl4_84 ),
    inference(backward_demodulation,[],[f617,f361]) ).

fof(f617,plain,
    ( e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | spl4_84 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f1492,plain,
    ( ~ spl4_53
    | ~ spl4_63 ),
    inference(avatar_contradiction_clause,[],[f1491]) ).

fof(f1491,plain,
    ( $false
    | ~ spl4_53
    | ~ spl4_63 ),
    inference(subsumption_resolution,[],[f1490,f157]) ).

fof(f157,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f1490,plain,
    ( e1 = e2
    | ~ spl4_53
    | ~ spl4_63 ),
    inference(forward_demodulation,[],[f504,f459]) ).

fof(f1420,plain,
    ( ~ spl4_37
    | ~ spl4_73 ),
    inference(avatar_contradiction_clause,[],[f1419]) ).

fof(f1419,plain,
    ( $false
    | ~ spl4_37
    | ~ spl4_73 ),
    inference(subsumption_resolution,[],[f1418,f153]) ).

fof(f1418,plain,
    ( e0 = e1
    | ~ spl4_37
    | ~ spl4_73 ),
    inference(forward_demodulation,[],[f557,f389]) ).

fof(f1400,plain,
    ( ~ spl4_74
    | ~ spl4_2
    | spl4_3
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f1396,f583,f238,f234,f561]) ).

fof(f238,plain,
    ( spl4_3
  <=> e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f1396,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_2
    | spl4_3
    | ~ spl4_78 ),
    inference(backward_demodulation,[],[f1323,f585]) ).

fof(f1323,plain,
    ( e1 != op(op(e2,e2),e2)
    | ~ spl4_2
    | spl4_3 ),
    inference(forward_demodulation,[],[f240,f235]) ).

fof(f240,plain,
    ( e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | spl4_3 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f1362,plain,
    ( ~ spl4_2
    | ~ spl4_36
    | spl4_91 ),
    inference(avatar_contradiction_clause,[],[f1361]) ).

fof(f1361,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_36
    | spl4_91 ),
    inference(subsumption_resolution,[],[f1360,f383]) ).

fof(f1360,plain,
    ( e1 != op(e2,e2)
    | ~ spl4_2
    | spl4_91 ),
    inference(forward_demodulation,[],[f662,f235]) ).

fof(f662,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | spl4_91 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f660,plain,
    ( spl4_91
  <=> e1 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).

fof(f1321,plain,
    ( ~ spl4_2
    | ~ spl4_36
    | ~ spl4_51
    | spl4_84 ),
    inference(avatar_contradiction_clause,[],[f1320]) ).

fof(f1320,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_36
    | ~ spl4_51
    | spl4_84 ),
    inference(subsumption_resolution,[],[f1319,f450]) ).

fof(f450,plain,
    ( e3 = op(e1,e2)
    | ~ spl4_51 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl4_51
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).

fof(f1319,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_2
    | ~ spl4_36
    | spl4_84 ),
    inference(forward_demodulation,[],[f1316,f383]) ).

fof(f1316,plain,
    ( e3 != op(op(e2,e2),e2)
    | ~ spl4_2
    | spl4_84 ),
    inference(backward_demodulation,[],[f617,f235]) ).

fof(f1312,plain,
    ( ~ spl4_37
    | ~ spl4_62 ),
    inference(avatar_contradiction_clause,[],[f1311]) ).

fof(f1311,plain,
    ( $false
    | ~ spl4_37
    | ~ spl4_62 ),
    inference(subsumption_resolution,[],[f1310,f156]) ).

fof(f156,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f1310,plain,
    ( e0 = e2
    | ~ spl4_37
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f500,f389]) ).

fof(f1302,plain,
    ( ~ spl4_12
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f1301,f382,f277]) ).

fof(f1301,plain,
    ( e1 != op(e1,e2)
    | ~ spl4_36 ),
    inference(forward_demodulation,[],[f168,f383]) ).

fof(f168,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1298,plain,
    ( ~ spl4_39
    | ~ spl4_86 ),
    inference(avatar_contradiction_clause,[],[f1297]) ).

fof(f1297,plain,
    ( $false
    | ~ spl4_39
    | ~ spl4_86 ),
    inference(subsumption_resolution,[],[f1296,f157]) ).

fof(f1296,plain,
    ( e1 = e2
    | ~ spl4_39
    | ~ spl4_86 ),
    inference(forward_demodulation,[],[f396,f631]) ).

fof(f1292,plain,
    ( ~ spl4_48
    | ~ spl4_49 ),
    inference(avatar_contradiction_clause,[],[f1291]) ).

fof(f1291,plain,
    ( $false
    | ~ spl4_48
    | ~ spl4_49 ),
    inference(subsumption_resolution,[],[f1290,f156]) ).

fof(f1290,plain,
    ( e0 = e2
    | ~ spl4_48
    | ~ spl4_49 ),
    inference(forward_demodulation,[],[f437,f441]) ).

fof(f437,plain,
    ( e2 = op(e3,e0)
    | ~ spl4_48 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1276,plain,
    ( ~ spl4_71
    | ~ spl4_86 ),
    inference(avatar_split_clause,[],[f1275,f629,f543]) ).

fof(f1275,plain,
    ( e1 != op(e3,e3)
    | ~ spl4_86 ),
    inference(forward_demodulation,[],[f199,f631]) ).

fof(f199,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1263,plain,
    ( ~ spl4_12
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f1262,f273,f277]) ).

fof(f1262,plain,
    ( e1 != op(e1,e2)
    | ~ spl4_11 ),
    inference(forward_demodulation,[],[f184,f274]) ).

fof(f274,plain,
    ( e1 = op(e1,e0)
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f184,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1248,plain,
    ( ~ spl4_13
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f1247,f273,f281]) ).

fof(f1247,plain,
    ( e1 != op(e1,e1)
    | ~ spl4_11 ),
    inference(forward_demodulation,[],[f197,f274]) ).

fof(f197,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1244,plain,
    ( ~ spl4_43
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f1228,f418,f414]) ).

fof(f1228,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_44 ),
    inference(forward_demodulation,[],[f195,f420]) ).

fof(f1225,plain,
    ( ~ spl4_8
    | ~ spl4_12 ),
    inference(avatar_contradiction_clause,[],[f1224]) ).

fof(f1224,plain,
    ( $false
    | ~ spl4_8
    | ~ spl4_12 ),
    inference(subsumption_resolution,[],[f1223,f157]) ).

fof(f1223,plain,
    ( e1 = e2
    | ~ spl4_8
    | ~ spl4_12 ),
    inference(backward_demodulation,[],[f262,f278]) ).

fof(f262,plain,
    ( e2 = op(e1,e2)
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl4_8
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f1195,plain,
    ( ~ spl4_19
    | ~ spl4_21 ),
    inference(avatar_contradiction_clause,[],[f1194]) ).

fof(f1194,plain,
    ( $false
    | ~ spl4_19
    | ~ spl4_21 ),
    inference(subsumption_resolution,[],[f1192,f154]) ).

fof(f1192,plain,
    ( e0 = e3
    | ~ spl4_19
    | ~ spl4_21 ),
    inference(backward_demodulation,[],[f309,f317]) ).

fof(f1144,plain,
    ( ~ spl4_39
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f1143,f494,f395]) ).

fof(f1143,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_61 ),
    inference(forward_demodulation,[],[f173,f496]) ).

fof(f496,plain,
    ( e2 = op(e2,e2)
    | ~ spl4_61 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f1109,plain,
    ( ~ spl4_4
    | ~ spl4_6 ),
    inference(avatar_contradiction_clause,[],[f1108]) ).

fof(f1108,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f1107,f153]) ).

fof(f1107,plain,
    ( e0 = e1
    | ~ spl4_4
    | ~ spl4_6 ),
    inference(backward_demodulation,[],[f245,f253]) ).

fof(f253,plain,
    ( e0 = op(e1,e3)
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl4_6
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f1098,plain,
    ( ~ spl4_47
    | ~ spl4_49 ),
    inference(avatar_contradiction_clause,[],[f1097]) ).

fof(f1097,plain,
    ( $false
    | ~ spl4_47
    | ~ spl4_49 ),
    inference(subsumption_resolution,[],[f1096,f154]) ).

fof(f1096,plain,
    ( e0 = e3
    | ~ spl4_47
    | ~ spl4_49 ),
    inference(forward_demodulation,[],[f433,f441]) ).

fof(f1089,plain,
    ( ~ spl4_4
    | ~ spl4_18 ),
    inference(avatar_contradiction_clause,[],[f1088]) ).

fof(f1088,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_18 ),
    inference(subsumption_resolution,[],[f1087,f305]) ).

fof(f1087,plain,
    ( e1 != op(e0,e3)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f170,f245]) ).

fof(f1082,plain,
    ( ~ spl4_58
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f1081,f387,f480]) ).

fof(f480,plain,
    ( spl4_58
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).

fof(f1081,plain,
    ( e0 != op(e0,e0)
    | ~ spl4_37 ),
    inference(forward_demodulation,[],[f179,f389]) ).

fof(f179,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1080,plain,
    ( ~ spl4_82
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f1079,f439,f600]) ).

fof(f1079,plain,
    ( e0 != op(e3,e1)
    | ~ spl4_49 ),
    inference(forward_demodulation,[],[f204,f441]) ).

fof(f1071,plain,
    ( ~ spl4_33
    | ~ spl4_75 ),
    inference(avatar_contradiction_clause,[],[f1070]) ).

fof(f1070,plain,
    ( $false
    | ~ spl4_33
    | ~ spl4_75 ),
    inference(subsumption_resolution,[],[f1069,f156]) ).

fof(f1069,plain,
    ( e0 = e2
    | ~ spl4_33
    | ~ spl4_75 ),
    inference(backward_demodulation,[],[f569,f371]) ).

fof(f569,plain,
    ( e2 = op(e0,e1)
    | ~ spl4_75 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl4_75
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).

fof(f1062,plain,
    ( ~ spl4_28
    | ~ spl4_75 ),
    inference(avatar_split_clause,[],[f1061,f567,f346]) ).

fof(f1061,plain,
    ( e2 != op(e2,e1)
    | ~ spl4_75 ),
    inference(forward_demodulation,[],[f196,f569]) ).

fof(f1057,plain,
    ( ~ spl4_18
    | ~ spl4_19 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1056,plain,
    ( $false
    | ~ spl4_18
    | ~ spl4_19 ),
    inference(subsumption_resolution,[],[f1055,f155]) ).

fof(f1055,plain,
    ( e1 = e3
    | ~ spl4_18
    | ~ spl4_19 ),
    inference(forward_demodulation,[],[f309,f305]) ).

fof(f1030,plain,
    ( ~ spl4_39
    | ~ spl4_40 ),
    inference(avatar_contradiction_clause,[],[f1029]) ).

fof(f1029,plain,
    ( $false
    | ~ spl4_39
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f1028,f396]) ).

fof(f1028,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_40 ),
    inference(forward_demodulation,[],[f199,f402]) ).

fof(f1015,plain,
    ( ~ spl4_86
    | spl4_3
    | ~ spl4_40
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f1011,f409,f400,f238,f629]) ).

fof(f1011,plain,
    ( e1 != op(e2,e3)
    | spl4_3
    | ~ spl4_40
    | ~ spl4_42 ),
    inference(backward_demodulation,[],[f729,f402]) ).

fof(f729,plain,
    ( e1 != op(op(e3,e3),e3)
    | spl4_3
    | ~ spl4_42 ),
    inference(backward_demodulation,[],[f240,f410]) ).

fof(f1014,plain,
    ( ~ spl4_20
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f1007,f400,f311]) ).

fof(f1007,plain,
    ( e2 != op(e0,e3)
    | ~ spl4_40 ),
    inference(backward_demodulation,[],[f203,f402]) ).

fof(f1002,plain,
    ( ~ spl4_12
    | ~ spl4_51 ),
    inference(avatar_contradiction_clause,[],[f1001]) ).

fof(f1001,plain,
    ( $false
    | ~ spl4_12
    | ~ spl4_51 ),
    inference(subsumption_resolution,[],[f1000,f155]) ).

fof(f1000,plain,
    ( e1 = e3
    | ~ spl4_12
    | ~ spl4_51 ),
    inference(forward_demodulation,[],[f450,f278]) ).

fof(f976,plain,
    ( ~ spl4_10
    | ~ spl4_11 ),
    inference(avatar_contradiction_clause,[],[f975]) ).

fof(f975,plain,
    ( $false
    | ~ spl4_10
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f974,f157]) ).

fof(f974,plain,
    ( e1 = e2
    | ~ spl4_10
    | ~ spl4_11 ),
    inference(backward_demodulation,[],[f270,f274]) ).

fof(f270,plain,
    ( e2 = op(e1,e0)
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f965,plain,
    ( ~ spl4_25
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f964,f439,f332]) ).

fof(f332,plain,
    ( spl4_25
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

fof(f964,plain,
    ( e0 != op(e2,e0)
    | ~ spl4_49 ),
    inference(backward_demodulation,[],[f198,f441]) ).

fof(f871,plain,
    ( ~ spl4_37
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f870,f315,f387]) ).

fof(f870,plain,
    ( e0 != op(e0,e2)
    | ~ spl4_21 ),
    inference(forward_demodulation,[],[f158,f317]) ).

fof(f158,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f869,plain,
    ( ~ spl4_17
    | ~ spl4_21 ),
    inference(avatar_contradiction_clause,[],[f868]) ).

fof(f868,plain,
    ( $false
    | ~ spl4_17
    | ~ spl4_21 ),
    inference(subsumption_resolution,[],[f867,f317]) ).

fof(f867,plain,
    ( e0 != op(e0,e3)
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f203,f299]) ).

fof(f849,plain,
    ( ~ spl4_23
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f848,f298,f324]) ).

fof(f848,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f199,f299]) ).

fof(f843,plain,
    ( ~ spl4_24
    | ~ spl4_28 ),
    inference(avatar_contradiction_clause,[],[f842]) ).

fof(f842,plain,
    ( $false
    | ~ spl4_24
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f841,f156]) ).

fof(f841,plain,
    ( e0 = e2
    | ~ spl4_24
    | ~ spl4_28 ),
    inference(backward_demodulation,[],[f348,f330]) ).

fof(f816,plain,
    ( ~ spl4_18
    | ~ spl4_21 ),
    inference(avatar_contradiction_clause,[],[f815]) ).

fof(f815,plain,
    ( $false
    | ~ spl4_18
    | ~ spl4_21 ),
    inference(subsumption_resolution,[],[f814,f153]) ).

fof(f814,plain,
    ( e0 = e1
    | ~ spl4_18
    | ~ spl4_21 ),
    inference(backward_demodulation,[],[f305,f317]) ).

fof(f787,plain,
    ( ~ spl4_22
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f783,f387,f320]) ).

fof(f783,plain,
    ( e0 != op(e2,e2)
    | ~ spl4_37 ),
    inference(backward_demodulation,[],[f161,f389]) ).

fof(f161,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f773,plain,
    ( ~ spl4_50
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f771,f273,f443]) ).

fof(f771,plain,
    ( e1 != op(e3,e0)
    | ~ spl4_11 ),
    inference(backward_demodulation,[],[f163,f274]) ).

fof(f760,plain,
    ( ~ spl4_21
    | ~ spl4_23 ),
    inference(avatar_split_clause,[],[f756,f324,f315]) ).

fof(f756,plain,
    ( e0 != op(e0,e3)
    | ~ spl4_23 ),
    inference(backward_demodulation,[],[f191,f326]) ).

fof(f754,plain,
    ( ~ spl4_23
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f750,f332,f324]) ).

fof(f750,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_25 ),
    inference(backward_demodulation,[],[f160,f334]) ).

fof(f334,plain,
    ( e0 = op(e2,e0)
    | ~ spl4_25 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f752,plain,
    ( ~ spl4_87
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f748,f332,f634]) ).

fof(f634,plain,
    ( spl4_87
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).

fof(f748,plain,
    ( e0 != op(e1,e0)
    | ~ spl4_25 ),
    inference(backward_demodulation,[],[f181,f334]) ).

fof(f751,plain,
    ( ~ spl4_22
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f749,f332,f320]) ).

fof(f749,plain,
    ( e0 != op(e2,e2)
    | ~ spl4_25 ),
    inference(backward_demodulation,[],[f201,f334]) ).

fof(f722,plain,
    ( ~ spl4_28
    | ~ spl4_43 ),
    inference(avatar_contradiction_clause,[],[f721]) ).

fof(f721,plain,
    ( $false
    | ~ spl4_28
    | ~ spl4_43 ),
    inference(subsumption_resolution,[],[f720,f152]) ).

fof(f720,plain,
    ( e2 = e3
    | ~ spl4_28
    | ~ spl4_43 ),
    inference(forward_demodulation,[],[f416,f348]) ).

fof(f416,plain,
    ( e3 = op(e2,e1)
    | ~ spl4_43 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f718,plain,
    ( ~ spl4_76
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f709,f346,f571]) ).

fof(f709,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_28 ),
    inference(backward_demodulation,[],[f195,f348]) ).

fof(f716,plain,
    ( ~ spl4_63
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f710,f346,f503]) ).

fof(f710,plain,
    ( e2 != op(e2,e0)
    | ~ spl4_28 ),
    inference(backward_demodulation,[],[f162,f348]) ).

fof(f162,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f715,plain,
    ( ~ spl4_39
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f713,f346,f395]) ).

fof(f713,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_28 ),
    inference(backward_demodulation,[],[f166,f348]) ).

fof(f708,plain,
    ( ~ spl4_77
    | ~ spl4_89
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f68,f426,f648,f578]) ).

fof(f68,plain,
    ( e3 != op(e1,e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ~ ( e3 = op(e1,e1)
      & e0 = op(op(e1,e1),op(e1,e1))
      & e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

fof(f706,plain,
    ( spl4_60
    | spl4_74
    | spl4_83
    | spl4_64 ),
    inference(avatar_split_clause,[],[f212,f507,f607,f561,f490]) ).

fof(f212,plain,
    ( e3 = op(e3,e2)
    | e0 = op(e3,e2)
    | e1 = op(e3,e2)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f704,plain,
    ( spl4_39
    | ~ spl4_44
    | spl4_21
    | spl4_57 ),
    inference(avatar_split_clause,[],[f93,f475,f315,f418,f395]) ).

fof(f475,plain,
    ( spl4_57
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).

fof(f93,plain,
    ( sP1
    | e0 = op(e0,e3)
    | e3 != op(e3,e1)
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( ( e1 != op(e1,e2)
        & e2 = op(e2,e1) )
      | ( e1 != op(e1,e1)
        & e1 = op(e1,e1) )
      | ( e1 != op(e1,e0)
        & e0 = op(e0,e1) )
      | sP3 )
    & ( ( e0 != op(e0,e1)
        & e1 = op(e1,e0) )
      | ( e0 != op(e0,e3)
        & e3 = op(e3,e0) )
      | ( e0 != op(e0,e2)
        & e2 = op(e2,e0) )
      | sP2 )
    & ( ( e3 != op(e3,e0)
        & e0 = op(e0,e3) )
      | ( e2 = op(e2,e3)
        & e3 != op(e3,e2) )
      | ( e1 = op(e1,e3)
        & e3 != op(e3,e1) )
      | sP1 )
    & ( ( e2 != op(e2,e1)
        & e1 = op(e1,e2) )
      | ( e3 = op(e3,e2)
        & e2 != op(e2,e3) )
      | ( e0 = op(e0,e2)
        & e2 != op(e2,e0) )
      | sP0 ) ),
    inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).

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

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

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

fof(f57,plain,
    ( ( e1 != op(e1,e3)
      & e3 = op(e3,e1) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f5,axiom,
    ( ( ( e1 != op(e1,e2)
        & e2 = op(e2,e1) )
      | ( e1 != op(e1,e1)
        & e1 = op(e1,e1) )
      | ( e1 != op(e1,e0)
        & e0 = op(e0,e1) )
      | ( e1 != op(e1,e3)
        & e3 = op(e3,e1) ) )
    & ( ( e0 != op(e0,e1)
        & e1 = op(e1,e0) )
      | ( e0 != op(e0,e3)
        & e3 = op(e3,e0) )
      | ( e0 != op(e0,e2)
        & e2 = op(e2,e0) )
      | ( e0 != op(e0,e0)
        & e0 = op(e0,e0) ) )
    & ( ( e3 != op(e3,e0)
        & e0 = op(e0,e3) )
      | ( e2 = op(e2,e3)
        & e3 != op(e3,e2) )
      | ( e1 = op(e1,e3)
        & e3 != op(e3,e1) )
      | ( e3 = op(e3,e3)
        & e3 != op(e3,e3) ) )
    & ( ( e2 != op(e2,e1)
        & e1 = op(e1,e2) )
      | ( e3 = op(e3,e2)
        & e2 != op(e2,e3) )
      | ( e0 = op(e0,e2)
        & e2 != op(e2,e0) )
      | ( e2 != op(e2,e2)
        & e2 = op(e2,e2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f702,plain,
    ( spl4_82
    | spl4_24
    | spl4_66
    | spl4_33 ),
    inference(avatar_split_clause,[],[f135,f369,f518,f328,f600]) ).

fof(f135,plain,
    ( e0 = op(e0,e1)
    | e0 = op(e1,e1)
    | e0 = op(e2,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f700,plain,
    ( spl4_58
    | spl4_42
    | spl4_2
    | spl4_31 ),
    inference(avatar_split_clause,[],[f217,f360,f234,f409,f480]) ).

fof(f217,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f699,plain,
    ( spl4_51
    | spl4_5
    | spl4_46
    | spl4_88 ),
    inference(avatar_split_clause,[],[f119,f638,f426,f247,f448]) ).

fof(f119,plain,
    ( e3 = op(e1,e0)
    | e3 = op(e1,e1)
    | e3 = op(e1,e3)
    | e3 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f695,plain,
    ( spl4_71
    | spl4_86
    | spl4_18
    | spl4_4 ),
    inference(avatar_split_clause,[],[f122,f243,f303,f629,f543]) ).

fof(f122,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | e1 = op(e2,e3)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f691,plain,
    ( spl4_33
    | spl4_14
    | spl4_13
    | spl4_28 ),
    inference(avatar_split_clause,[],[f107,f346,f281,f285,f369]) ).

fof(f285,plain,
    ( spl4_14
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f107,plain,
    ( e2 = op(e2,e1)
    | e1 = op(e1,e1)
    | sP3
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f690,plain,
    ( ~ spl4_21
    | spl4_59
    | spl4_11
    | spl4_63 ),
    inference(avatar_split_clause,[],[f101,f503,f273,f484,f315]) ).

fof(f484,plain,
    ( spl4_59
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).

fof(f101,plain,
    ( e2 = op(e2,e0)
    | e1 = op(e1,e0)
    | sP2
    | e0 != op(e0,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f688,plain,
    ( spl4_57
    | ~ spl4_64
    | spl4_21
    | spl4_4 ),
    inference(avatar_split_clause,[],[f92,f243,f315,f507,f475]) ).

fof(f92,plain,
    ( e1 = op(e1,e3)
    | e0 = op(e0,e3)
    | e3 != op(e3,e2)
    | sP1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f685,plain,
    ( spl4_53
    | spl4_79
    | spl4_25
    | spl4_63 ),
    inference(avatar_split_clause,[],[f220,f503,f332,f587,f457]) ).

fof(f220,plain,
    ( e2 = op(e2,e0)
    | e0 = op(e2,e0)
    | e3 = op(e2,e0)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f684,plain,
    ( spl4_74
    | spl4_50
    | spl4_81
    | spl4_71 ),
    inference(avatar_split_clause,[],[f141,f543,f596,f443,f561]) ).

fof(f141,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e3,e1)
    | e1 = op(e3,e0)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f682,plain,
    ( spl4_21
    | spl4_17
    | spl4_23
    | spl4_6 ),
    inference(avatar_split_clause,[],[f125,f251,f324,f298,f315]) ).

fof(f125,plain,
    ( e0 = op(e1,e3)
    | e0 = op(e2,e3)
    | e0 = op(e3,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f681,plain,
    ( spl4_57
    | spl4_39
    | spl4_4
    | spl4_21 ),
    inference(avatar_split_clause,[],[f94,f315,f243,f395,f475]) ).

fof(f94,plain,
    ( e0 = op(e0,e3)
    | e1 = op(e1,e3)
    | e2 = op(e2,e3)
    | sP1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f675,plain,
    ( spl4_12
    | spl4_64
    | spl4_37
    | spl4_38 ),
    inference(avatar_split_clause,[],[f86,f391,f387,f507,f277]) ).

fof(f391,plain,
    ( spl4_38
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

fof(f86,plain,
    ( sP0
    | e0 = op(e0,e2)
    | e3 = op(e3,e2)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f674,plain,
    ( spl4_17
    | spl4_56
    | spl4_40
    | spl4_71 ),
    inference(avatar_split_clause,[],[f214,f543,f400,f471,f298]) ).

fof(f214,plain,
    ( e1 = op(e3,e3)
    | e2 = op(e3,e3)
    | e3 = op(e3,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f670,plain,
    ( ~ spl4_61
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f82,f391,f494]) ).

fof(f82,plain,
    ( ~ sP0
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ( e2 != op(e2,e2)
      & e2 = op(e2,e2) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f669,plain,
    ( spl4_69
    | spl4_78
    | spl4_64
    | spl4_51 ),
    inference(avatar_split_clause,[],[f127,f448,f507,f583,f534]) ).

fof(f127,plain,
    ( e3 = op(e1,e2)
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f665,plain,
    ( spl4_59
    | spl4_63
    | spl4_47
    | spl4_11 ),
    inference(avatar_split_clause,[],[f99,f273,f431,f503,f484]) ).

fof(f99,plain,
    ( e1 = op(e1,e0)
    | e3 = op(e3,e0)
    | e2 = op(e2,e0)
    | sP2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f664,plain,
    ( spl4_61
    | spl4_22
    | spl4_78
    | spl4_36 ),
    inference(avatar_split_clause,[],[f215,f382,f583,f320,f494]) ).

fof(f215,plain,
    ( e1 = op(e2,e2)
    | e3 = op(e2,e2)
    | e0 = op(e2,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f663,plain,
    ( ~ spl4_84
    | ~ spl4_91
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f150,f234,f660,f615]) ).

fof(f150,plain,
    ( op(e0,e0) != e2
    | e1 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( op(e0,e0) != e2
    | e1 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ~ ( e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
      & e1 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f657,plain,
    ( ~ spl4_13
    | spl4_33
    | spl4_28
    | spl4_14 ),
    inference(avatar_split_clause,[],[f109,f285,f346,f369,f281]) ).

fof(f109,plain,
    ( sP3
    | e2 = op(e2,e1)
    | e0 = op(e0,e1)
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f656,plain,
    ( ~ spl4_90
    | ~ spl4_78
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f207,f622,f583,f653]) ).

fof(f207,plain,
    ( e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ~ ( e0 = op(op(e2,e2),op(e2,e2))
      & e3 = op(e2,e2)
      & e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f651,plain,
    ( ~ spl4_89
    | ~ spl4_9
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f226,f522,f264,f648]) ).

fof(f226,plain,
    ( e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e2 != op(e1,e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ~ ( e2 = op(e1,e1)
      & e0 = op(op(e1,e1),op(e1,e1))
      & e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

fof(f646,plain,
    ( spl4_19
    | spl4_56
    | spl4_5
    | spl4_80 ),
    inference(avatar_split_clause,[],[f148,f591,f247,f471,f307]) ).

fof(f148,plain,
    ( e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | e3 = op(e3,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f642,plain,
    ( spl4_53
    | spl4_36
    | spl4_86
    | spl4_68 ),
    inference(avatar_split_clause,[],[f145,f529,f629,f382,f457]) ).

fof(f145,plain,
    ( e1 = op(e2,e1)
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f641,plain,
    ( spl4_10
    | spl4_87
    | spl4_11
    | spl4_88 ),
    inference(avatar_split_clause,[],[f223,f638,f273,f634,f268]) ).

fof(f223,plain,
    ( e3 = op(e1,e0)
    | e1 = op(e1,e0)
    | e0 = op(e1,e0)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f632,plain,
    ( spl4_80
    | spl4_23
    | spl4_39
    | spl4_86 ),
    inference(avatar_split_clause,[],[f216,f629,f395,f324,f591]) ).

fof(f216,plain,
    ( e1 = op(e2,e3)
    | e2 = op(e2,e3)
    | e0 = op(e2,e3)
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f626,plain,
    ( ~ spl4_33
    | spl4_47
    | spl4_59
    | spl4_63 ),
    inference(avatar_split_clause,[],[f103,f503,f484,f431,f369]) ).

fof(f103,plain,
    ( e2 = op(e2,e0)
    | sP2
    | e3 = op(e3,e0)
    | e0 != op(e0,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f620,plain,
    ( ~ spl4_4
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f76,f285,f243]) ).

fof(f76,plain,
    ( ~ sP3
    | e1 != op(e1,e3) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( e1 != op(e1,e3)
      & e3 = op(e3,e1) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f619,plain,
    ( spl4_44
    | spl4_56
    | spl4_64
    | spl4_47 ),
    inference(avatar_split_clause,[],[f126,f431,f507,f471,f418]) ).

fof(f126,plain,
    ( e3 = op(e3,e0)
    | e3 = op(e3,e2)
    | e3 = op(e3,e3)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f618,plain,
    ( ~ spl4_84
    | ~ spl4_41
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f227,f360,f405,f615]) ).

fof(f227,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f22]) ).

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

fof(f611,plain,
    ( spl4_20
    | spl4_2
    | spl4_75
    | spl4_62 ),
    inference(avatar_split_clause,[],[f146,f498,f567,f234,f311]) ).

fof(f146,plain,
    ( e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f610,plain,
    ( spl4_82
    | spl4_49
    | spl4_83
    | spl4_17 ),
    inference(avatar_split_clause,[],[f138,f298,f607,f439,f600]) ).

fof(f138,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e0)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f603,plain,
    ( spl4_76
    | spl4_81
    | spl4_44
    | spl4_82 ),
    inference(avatar_split_clause,[],[f219,f600,f418,f596,f571]) ).

fof(f219,plain,
    ( e0 = op(e3,e1)
    | e3 = op(e3,e1)
    | e1 = op(e3,e1)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f594,plain,
    ( spl4_43
    | spl4_78
    | spl4_79
    | spl4_80 ),
    inference(avatar_split_clause,[],[f144,f591,f587,f583,f414]) ).

fof(f144,plain,
    ( e3 = op(e2,e3)
    | e3 = op(e2,e0)
    | e3 = op(e2,e2)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f576,plain,
    ( ~ spl4_56
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f79,f475,f471]) ).

fof(f79,plain,
    ( ~ sP1
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ( e3 = op(e3,e3)
      & e3 != op(e3,e3) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f574,plain,
    ( spl4_9
    | spl4_75
    | spl4_76
    | spl4_28 ),
    inference(avatar_split_clause,[],[f129,f346,f571,f567,f264]) ).

fof(f129,plain,
    ( e2 = op(e2,e1)
    | e2 = op(e3,e1)
    | e2 = op(e0,e1)
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f565,plain,
    ( spl4_13
    | spl4_66
    | spl4_9
    | spl4_46 ),
    inference(avatar_split_clause,[],[f218,f426,f264,f518,f281]) ).

fof(f218,plain,
    ( e3 = op(e1,e1)
    | e2 = op(e1,e1)
    | e0 = op(e1,e1)
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f564,plain,
    ( spl4_36
    | spl4_74
    | spl4_73
    | spl4_12 ),
    inference(avatar_split_clause,[],[f128,f277,f555,f561,f382]) ).

fof(f128,plain,
    ( e1 = op(e1,e2)
    | e1 = op(e0,e2)
    | e1 = op(e3,e2)
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f558,plain,
    ( spl4_31
    | spl4_72
    | spl4_18
    | spl4_73 ),
    inference(avatar_split_clause,[],[f133,f555,f303,f551,f360]) ).

fof(f133,plain,
    ( e1 = op(e0,e2)
    | e1 = op(e0,e3)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f548,plain,
    ( spl4_39
    | ~ spl4_47
    | spl4_57
    | spl4_4 ),
    inference(avatar_split_clause,[],[f98,f243,f475,f431,f395]) ).

fof(f98,plain,
    ( e1 = op(e1,e3)
    | sP1
    | e3 != op(e3,e0)
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f547,plain,
    ( spl4_61
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f81,f391,f494]) ).

fof(f81,plain,
    ( ~ sP0
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f537,plain,
    ( spl4_42
    | spl4_45
    | spl4_19
    | spl4_69 ),
    inference(avatar_split_clause,[],[f130,f534,f307,f422,f409]) ).

fof(f130,plain,
    ( e3 = op(e0,e2)
    | e3 = op(e0,e3)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f532,plain,
    ( spl4_43
    | spl4_28
    | spl4_24
    | spl4_68 ),
    inference(avatar_split_clause,[],[f211,f529,f328,f346,f414]) ).

fof(f211,plain,
    ( e1 = op(e2,e1)
    | e0 = op(e2,e1)
    | e2 = op(e2,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f526,plain,
    ( spl4_63
    | spl4_2
    | spl4_10
    | spl4_48 ),
    inference(avatar_split_clause,[],[f142,f435,f268,f234,f503]) ).

fof(f142,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f525,plain,
    ( ~ spl4_65
    | ~ spl4_66
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f65,f522,f518,f514]) ).

fof(f65,plain,
    ( e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e0 != op(e1,e1)
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(e1,e1),op(e1,e1))
    | e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ ( e0 = op(e1,e1)
      & e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
      & e2 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(f512,plain,
    ( ~ spl4_14
    | spl4_44 ),
    inference(avatar_split_clause,[],[f75,f418,f285]) ).

fof(f75,plain,
    ( e3 = op(e3,e1)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f510,plain,
    ( ~ spl4_63
    | spl4_64
    | spl4_38
    | spl4_12 ),
    inference(avatar_split_clause,[],[f85,f277,f391,f507,f503]) ).

fof(f85,plain,
    ( e1 = op(e1,e2)
    | sP0
    | e3 = op(e3,e2)
    | e2 != op(e2,e0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f501,plain,
    ( spl4_60
    | spl4_8
    | spl4_61
    | spl4_62 ),
    inference(avatar_split_clause,[],[f120,f498,f494,f260,f490]) ).

fof(f120,plain,
    ( e2 = op(e0,e2)
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f488,plain,
    ( ~ spl4_59
    | spl4_58 ),
    inference(avatar_split_clause,[],[f77,f480,f484]) ).

fof(f77,plain,
    ( e0 = op(e0,e0)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e0 != op(e0,e0)
      & e0 = op(e0,e0) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f487,plain,
    ( ~ spl4_58
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f78,f484,f480]) ).

fof(f78,plain,
    ( ~ sP2
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f478,plain,
    ( spl4_56
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f80,f475,f471]) ).

fof(f80,plain,
    ( ~ sP1
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f460,plain,
    ( spl4_31
    | spl4_11
    | spl4_53
    | spl4_50 ),
    inference(avatar_split_clause,[],[f139,f443,f457,f273,f360]) ).

fof(f139,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f446,plain,
    ( spl4_47
    | spl4_48
    | spl4_49
    | spl4_50 ),
    inference(avatar_split_clause,[],[f213,f443,f439,f435,f431]) ).

fof(f213,plain,
    ( e1 = op(e3,e0)
    | e0 = op(e3,e0)
    | e2 = op(e3,e0)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f429,plain,
    ( spl4_43
    | spl4_44
    | spl4_45
    | spl4_46 ),
    inference(avatar_split_clause,[],[f140,f426,f422,f418,f414]) ).

fof(f140,plain,
    ( e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | e3 = op(e3,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f412,plain,
    ( ~ spl4_41
    | ~ spl4_42
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f66,f238,f409,f405]) ).

fof(f66,plain,
    ( e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e3
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ~ ( e2 = op(op(e0,e0),op(e0,e0))
      & e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
      & op(e0,e0) = e3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f398,plain,
    ( spl4_37
    | spl4_38
    | spl4_12
    | ~ spl4_39 ),
    inference(avatar_split_clause,[],[f84,f395,f277,f391,f387]) ).

fof(f84,plain,
    ( e2 != op(e2,e3)
    | e1 = op(e1,e2)
    | sP0
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f385,plain,
    ( ~ spl4_34
    | ~ spl4_35
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f115,f382,f378,f374]) ).

fof(f115,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,e2)
    | e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ~ ( e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
      & e3 = op(op(e2,e2),op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).

fof(f367,plain,
    ( ~ spl4_1
    | ~ spl4_31
    | ~ spl4_32 ),
    inference(avatar_split_clause,[],[f71,f364,f360,f230]) ).

fof(f71,plain,
    ( e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e1
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ~ ( e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
      & op(e0,e0) = e1
      & e3 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f349,plain,
    ( ~ spl4_11
    | spl4_13
    | spl4_28
    | spl4_14 ),
    inference(avatar_split_clause,[],[f108,f285,f346,f281,f273]) ).

fof(f108,plain,
    ( sP3
    | e2 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 != op(e1,e0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f344,plain,
    ( ~ spl4_22
    | ~ spl4_26
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f116,f341,f337,f320]) ).

fof(f116,plain,
    ( e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ~ ( e1 = op(op(e2,e2),op(e2,e2))
      & e0 = op(e2,e2)
      & e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f335,plain,
    ( spl4_22
    | spl4_23
    | spl4_24
    | spl4_25 ),
    inference(avatar_split_clause,[],[f121,f332,f328,f324,f320]) ).

fof(f121,plain,
    ( e0 = op(e2,e0)
    | e0 = op(e2,e1)
    | e0 = op(e2,e3)
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f318,plain,
    ( spl4_18
    | spl4_19
    | spl4_20
    | spl4_21 ),
    inference(avatar_split_clause,[],[f221,f315,f311,f307,f303]) ).

fof(f221,plain,
    ( e0 = op(e0,e3)
    | e2 = op(e0,e3)
    | e3 = op(e0,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f301,plain,
    ( ~ spl4_15
    | ~ spl4_16
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f70,f298,f294,f290]) ).

fof(f70,plain,
    ( e0 != op(e3,e3)
    | e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
      & e1 = op(op(e3,e3),op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f241,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f149,f238,f234,f230]) ).

fof(f149,plain,
    ( e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e2
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e2
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ~ ( e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
      & op(e0,e0) = e2
      & e3 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ALG135+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n024.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 14:58:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.50  % (21561)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51  % (21553)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (21550)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (21545)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (21549)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (21558)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (21565)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (21548)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (21543)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (21544)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.54  % (21547)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (21540)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (21547)Instruction limit reached!
% 0.19/0.54  % (21547)------------------------------
% 0.19/0.54  % (21547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21547)Termination reason: Unknown
% 0.19/0.54  % (21547)Termination phase: Naming
% 0.19/0.54  
% 0.19/0.54  % (21547)Memory used [KB]: 895
% 0.19/0.54  % (21547)Time elapsed: 0.002 s
% 0.19/0.54  % (21547)Instructions burned: 2 (million)
% 0.19/0.54  % (21547)------------------------------
% 0.19/0.54  % (21547)------------------------------
% 0.19/0.54  % (21567)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54  % (21539)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.54  % (21546)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (21546)Instruction limit reached!
% 0.19/0.54  % (21546)------------------------------
% 0.19/0.54  % (21546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21546)Termination reason: Unknown
% 0.19/0.54  % (21546)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (21546)Memory used [KB]: 5628
% 0.19/0.54  % (21546)Time elapsed: 0.005 s
% 0.19/0.54  % (21546)Instructions burned: 7 (million)
% 0.19/0.54  % (21546)------------------------------
% 0.19/0.54  % (21546)------------------------------
% 0.19/0.54  % (21542)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (21563)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  % (21557)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  % (21559)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.55  % (21552)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (21555)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (21554)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.55  % (21541)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.56  % (21560)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56  % (21551)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.56  % (21562)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.56  % (21566)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.56  TRYING [4]
% 1.58/0.57  % (21568)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.58/0.57  TRYING [4]
% 1.58/0.58  % (21556)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.58/0.58  % (21545)Instruction limit reached!
% 1.58/0.58  % (21545)------------------------------
% 1.58/0.58  % (21545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (21545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58  % (21545)Termination reason: Unknown
% 1.58/0.58  % (21545)Termination phase: Finite model building SAT solving
% 1.58/0.58  
% 1.58/0.58  % (21545)Memory used [KB]: 7547
% 1.58/0.58  % (21545)Time elapsed: 0.136 s
% 1.58/0.58  % (21545)Instructions burned: 52 (million)
% 1.58/0.58  % (21545)------------------------------
% 1.58/0.58  % (21545)------------------------------
% 1.58/0.58  % (21564)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.81/0.60  % (21549)Instruction limit reached!
% 1.81/0.60  % (21549)------------------------------
% 1.81/0.60  % (21549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60  % (21549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60  % (21549)Termination reason: Unknown
% 1.81/0.60  % (21549)Termination phase: Saturation
% 1.81/0.60  
% 1.81/0.60  % (21549)Memory used [KB]: 6652
% 1.81/0.60  % (21549)Time elapsed: 0.026 s
% 1.81/0.60  % (21549)Instructions burned: 52 (million)
% 1.81/0.60  % (21549)------------------------------
% 1.81/0.60  % (21549)------------------------------
% 1.81/0.60  TRYING [5]
% 1.81/0.62  % (21543)Instruction limit reached!
% 1.81/0.62  % (21543)------------------------------
% 1.81/0.62  % (21543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62  % (21543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62  % (21543)Termination reason: Unknown
% 1.81/0.62  % (21543)Termination phase: Saturation
% 1.81/0.62  
% 1.81/0.62  % (21543)Memory used [KB]: 6140
% 1.81/0.62  % (21543)Time elapsed: 0.027 s
% 1.81/0.62  % (21543)Instructions burned: 51 (million)
% 1.81/0.62  % (21543)------------------------------
% 1.81/0.62  % (21543)------------------------------
% 1.81/0.62  % (21540)Instruction limit reached!
% 1.81/0.62  % (21540)------------------------------
% 1.81/0.62  % (21540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62  % (21540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62  % (21540)Termination reason: Unknown
% 1.81/0.62  % (21540)Termination phase: Saturation
% 1.81/0.62  
% 1.81/0.62  % (21540)Memory used [KB]: 6140
% 1.81/0.62  % (21540)Time elapsed: 0.026 s
% 1.81/0.62  % (21540)Instructions burned: 50 (million)
% 1.81/0.62  % (21540)------------------------------
% 1.81/0.62  % (21540)------------------------------
% 1.81/0.62  % (21548)Instruction limit reached!
% 1.81/0.62  % (21548)------------------------------
% 1.81/0.62  % (21548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62  % (21548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62  % (21548)Termination reason: Unknown
% 1.81/0.62  % (21548)Termination phase: Saturation
% 1.81/0.62  
% 1.81/0.62  % (21548)Memory used [KB]: 1407
% 1.81/0.62  % (21548)Time elapsed: 0.198 s
% 1.81/0.62  % (21548)Instructions burned: 53 (million)
% 1.81/0.62  % (21548)------------------------------
% 1.81/0.62  % (21548)------------------------------
% 1.81/0.62  % (21541)Instruction limit reached!
% 1.81/0.62  % (21541)------------------------------
% 1.81/0.62  % (21541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62  % (21541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62  % (21541)Termination reason: Unknown
% 1.81/0.62  % (21541)Termination phase: Saturation
% 1.81/0.62  
% 1.81/0.62  % (21541)Memory used [KB]: 1151
% 1.81/0.62  % (21541)Time elapsed: 0.198 s
% 1.81/0.62  % (21541)Instructions burned: 38 (million)
% 1.81/0.62  % (21541)------------------------------
% 1.81/0.62  % (21541)------------------------------
% 1.81/0.62  % (21553)Instruction limit reached!
% 1.81/0.62  % (21553)------------------------------
% 1.81/0.62  % (21553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.63  TRYING [4]
% 1.81/0.64  % (21544)Instruction limit reached!
% 1.81/0.64  % (21544)------------------------------
% 1.81/0.64  % (21544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65  % (21553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65  % (21553)Termination reason: Unknown
% 2.16/0.65  % (21553)Termination phase: Saturation
% 2.16/0.65  
% 2.16/0.65  % (21553)Memory used [KB]: 6396
% 2.16/0.65  % (21553)Time elapsed: 0.053 s
% 2.16/0.65  % (21553)Instructions burned: 69 (million)
% 2.16/0.65  % (21553)------------------------------
% 2.16/0.65  % (21553)------------------------------
% 2.16/0.65  % (21544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65  % (21544)Termination reason: Unknown
% 2.16/0.65  % (21544)Termination phase: Saturation
% 2.16/0.65  
% 2.16/0.65  % (21544)Memory used [KB]: 6012
% 2.16/0.65  % (21544)Time elapsed: 0.218 s
% 2.16/0.65  % (21544)Instructions burned: 48 (million)
% 2.16/0.65  % (21544)------------------------------
% 2.16/0.65  % (21544)------------------------------
% 2.23/0.65  % (21542)Instruction limit reached!
% 2.23/0.65  % (21542)------------------------------
% 2.23/0.65  % (21542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65  % (21542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65  % (21542)Termination reason: Unknown
% 2.23/0.65  % (21542)Termination phase: Saturation
% 2.23/0.65  
% 2.23/0.65  % (21542)Memory used [KB]: 6524
% 2.23/0.65  % (21542)Time elapsed: 0.250 s
% 2.23/0.65  % (21542)Instructions burned: 52 (million)
% 2.23/0.65  % (21542)------------------------------
% 2.23/0.65  % (21542)------------------------------
% 2.23/0.65  % (21565)Instruction limit reached!
% 2.23/0.65  % (21565)------------------------------
% 2.23/0.65  % (21565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65  % (21565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65  % (21565)Termination reason: Unknown
% 2.23/0.65  % (21565)Termination phase: Saturation
% 2.23/0.65  
% 2.23/0.65  % (21565)Memory used [KB]: 6396
% 2.23/0.65  % (21565)Time elapsed: 0.035 s
% 2.23/0.65  % (21565)Instructions burned: 68 (million)
% 2.23/0.65  % (21565)------------------------------
% 2.23/0.65  % (21565)------------------------------
% 2.23/0.65  % (21563)First to succeed.
% 2.23/0.66  % (21556)Instruction limit reached!
% 2.23/0.66  % (21556)------------------------------
% 2.23/0.66  % (21556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66  % (21556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66  % (21556)Termination reason: Unknown
% 2.23/0.66  % (21556)Termination phase: Finite model building SAT solving
% 2.23/0.66  
% 2.23/0.66  % (21556)Memory used [KB]: 7675
% 2.23/0.66  % (21556)Time elapsed: 0.249 s
% 2.23/0.66  % (21556)Instructions burned: 60 (million)
% 2.23/0.66  % (21556)------------------------------
% 2.23/0.66  % (21556)------------------------------
% 2.23/0.67  % (21550)Instruction limit reached!
% 2.23/0.67  % (21550)------------------------------
% 2.23/0.67  % (21550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67  % (21550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (21550)Termination reason: Unknown
% 2.23/0.67  % (21550)Termination phase: Saturation
% 2.23/0.67  
% 2.23/0.67  % (21550)Memory used [KB]: 7036
% 2.23/0.67  % (21550)Time elapsed: 0.254 s
% 2.23/0.67  % (21550)Instructions burned: 100 (million)
% 2.23/0.67  % (21550)------------------------------
% 2.23/0.67  % (21550)------------------------------
% 2.23/0.67  TRYING [6]
% 2.23/0.68  % (21558)Instruction limit reached!
% 2.23/0.68  % (21558)------------------------------
% 2.23/0.68  % (21558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68  % (21558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68  % (21558)Termination reason: Unknown
% 2.23/0.68  % (21558)Termination phase: Saturation
% 2.23/0.68  
% 2.23/0.68  % (21558)Memory used [KB]: 1407
% 2.23/0.68  % (21558)Time elapsed: 0.278 s
% 2.23/0.68  % (21558)Instructions burned: 102 (million)
% 2.23/0.68  % (21558)------------------------------
% 2.23/0.68  % (21558)------------------------------
% 2.23/0.69  % (21571)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.23/0.69  % (21573)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.23/0.69  % (21567)Also succeeded, but the first one will report.
% 2.23/0.69  % (21559)Also succeeded, but the first one will report.
% 2.23/0.69  % (21563)Refutation found. Thanks to Tanya!
% 2.23/0.69  % SZS status Unsatisfiable for theBenchmark
% 2.23/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.70  % (21563)------------------------------
% 2.23/0.70  % (21563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70  % (21563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70  % (21563)Termination reason: Refutation
% 2.23/0.70  
% 2.23/0.70  % (21563)Memory used [KB]: 6652
% 2.23/0.70  % (21563)Time elapsed: 0.044 s
% 2.23/0.70  % (21563)Instructions burned: 64 (million)
% 2.23/0.70  % (21563)------------------------------
% 2.23/0.70  % (21563)------------------------------
% 2.23/0.70  % (21534)Success in time 0.329 s
%------------------------------------------------------------------------------