TSTP Solution File: ALG059+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG059+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:39:18 EDT 2022

% Result   : Theorem 2.85s 0.83s
% Output   : Refutation 2.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  291
% Syntax   : Number of formulae    :  774 (  62 unt;   0 def)
%            Number of atoms       : 4243 (2812 equ)
%            Maximal formula atoms :  450 (   5 avg)
%            Number of connectives : 5647 (2178   ~;1782   |;1557   &)
%                                         ( 130 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  286 ( 284 usr; 285 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4533,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1237,f1251,f1278,f1335,f1359,f1489,f1750,f1778,f1784,f1797,f1865,f1884,f1917,f2159,f2230,f2231,f2242,f2279,f2293,f2317,f2346,f2351,f2362,f2378,f2398,f2415,f2445,f2472,f2483,f2506,f2509,f2518,f2554,f2571,f2573,f2595,f2625,f2626,f2633,f2646,f2667,f2686,f2688,f2690,f2696,f2712,f2716,f2717,f2725,f2727,f2747,f2749,f2752,f2758,f2764,f2796,f2800,f2805,f2819,f2820,f2847,f2902,f2993,f3035,f3042,f3114,f3140,f3141,f3142,f3177,f3179,f3233,f3328,f3395,f3426,f3430,f3452,f3506,f3515,f3523,f3545,f3553,f3571,f3573,f3652,f3657,f3692,f3721,f3749,f3754,f3833,f3869,f3870,f3871,f3872,f3993,f4008,f4059,f4060,f4068,f4085,f4086,f4096,f4122,f4131,f4153,f4209,f4237,f4239,f4246,f4247,f4298,f4300,f4323,f4340,f4382,f4388,f4402,f4425,f4430,f4440,f4452,f4457,f4468,f4472,f4477,f4488,f4496,f4501,f4509,f4514,f4525,f4530]) ).

fof(f4530,plain,
    ( ~ spl154_35
    | spl154_145
    | ~ spl154_321 ),
    inference(avatar_contradiction_clause,[],[f4529]) ).

fof(f4529,plain,
    ( $false
    | ~ spl154_35
    | spl154_145
    | ~ spl154_321 ),
    inference(subsumption_resolution,[],[f4528,f1624]) ).

fof(f1624,plain,
    ( e3 != op(e0,e4)
    | spl154_145 ),
    inference(avatar_component_clause,[],[f1623]) ).

fof(f1623,plain,
    ( spl154_145
  <=> e3 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_145])]) ).

fof(f4528,plain,
    ( e3 = op(e0,e4)
    | ~ spl154_35
    | ~ spl154_321 ),
    inference(forward_demodulation,[],[f2645,f1128]) ).

fof(f1128,plain,
    ( e0 = op(e3,e4)
    | ~ spl154_35 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f1126,plain,
    ( spl154_35
  <=> e0 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_35])]) ).

fof(f2645,plain,
    ( e3 = op(op(e3,e4),e4)
    | ~ spl154_321 ),
    inference(avatar_component_clause,[],[f2643]) ).

fof(f2643,plain,
    ( spl154_321
  <=> e3 = op(op(e3,e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_321])]) ).

fof(f4525,plain,
    ( ~ spl154_146
    | ~ spl154_297
    | spl154_308 ),
    inference(avatar_contradiction_clause,[],[f4524]) ).

fof(f4524,plain,
    ( $false
    | ~ spl154_146
    | ~ spl154_297
    | spl154_308 ),
    inference(subsumption_resolution,[],[f4523,f1629]) ).

fof(f1629,plain,
    ( e4 = op(e1,e2)
    | ~ spl154_146 ),
    inference(avatar_component_clause,[],[f1628]) ).

fof(f1628,plain,
    ( spl154_146
  <=> e4 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_146])]) ).

fof(f4523,plain,
    ( e4 != op(e1,e2)
    | ~ spl154_297
    | spl154_308 ),
    inference(forward_demodulation,[],[f2505,f2424]) ).

fof(f2424,plain,
    ( e1 = op(e2,e4)
    | ~ spl154_297 ),
    inference(avatar_component_clause,[],[f2422]) ).

fof(f2422,plain,
    ( spl154_297
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_297])]) ).

fof(f2505,plain,
    ( e4 != op(op(e2,e4),e2)
    | spl154_308 ),
    inference(avatar_component_clause,[],[f2503]) ).

fof(f2503,plain,
    ( spl154_308
  <=> e4 = op(op(e2,e4),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_308])]) ).

fof(f4514,plain,
    ( ~ spl154_3
    | ~ spl154_130
    | ~ spl154_295 ),
    inference(avatar_contradiction_clause,[],[f4513]) ).

fof(f4513,plain,
    ( $false
    | ~ spl154_3
    | ~ spl154_130
    | ~ spl154_295 ),
    inference(subsumption_resolution,[],[f4512,f967]) ).

fof(f967,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e1 != e4
    & e3 != e4
    & e2 != e4
    & e0 != e3
    & e0 != e4
    & e0 != e1
    & e1 != e3
    & e2 != e3
    & e1 != e2
    & e0 != e2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f4512,plain,
    ( e2 = e4
    | ~ spl154_3
    | ~ spl154_130
    | ~ spl154_295 ),
    inference(forward_demodulation,[],[f4511,f987]) ).

fof(f987,plain,
    ( e2 = op(e0,e2)
    | ~ spl154_3 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f985,plain,
    ( spl154_3
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_3])]) ).

fof(f4511,plain,
    ( e4 = op(e0,e2)
    | ~ spl154_130
    | ~ spl154_295 ),
    inference(forward_demodulation,[],[f2414,f1554]) ).

fof(f1554,plain,
    ( e0 = op(e4,e2)
    | ~ spl154_130 ),
    inference(avatar_component_clause,[],[f1552]) ).

fof(f1552,plain,
    ( spl154_130
  <=> e0 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_130])]) ).

fof(f2414,plain,
    ( e4 = op(op(e4,e2),e2)
    | ~ spl154_295 ),
    inference(avatar_component_clause,[],[f2412]) ).

fof(f2412,plain,
    ( spl154_295
  <=> e4 = op(op(e4,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_295])]) ).

fof(f4509,plain,
    ( spl154_46
    | ~ spl154_140
    | ~ spl154_286 ),
    inference(avatar_contradiction_clause,[],[f4508]) ).

fof(f4508,plain,
    ( $false
    | spl154_46
    | ~ spl154_140
    | ~ spl154_286 ),
    inference(subsumption_resolution,[],[f4507,f1175]) ).

fof(f1175,plain,
    ( e2 != op(e0,e3)
    | spl154_46 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f1174,plain,
    ( spl154_46
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_46])]) ).

fof(f4507,plain,
    ( e2 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_286 ),
    inference(forward_demodulation,[],[f2350,f1601]) ).

fof(f1601,plain,
    ( e0 = op(e2,e3)
    | ~ spl154_140 ),
    inference(avatar_component_clause,[],[f1600]) ).

fof(f1600,plain,
    ( spl154_140
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_140])]) ).

fof(f2350,plain,
    ( e2 = op(op(e2,e3),e3)
    | ~ spl154_286 ),
    inference(avatar_component_clause,[],[f2348]) ).

fof(f2348,plain,
    ( spl154_286
  <=> e2 = op(op(e2,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_286])]) ).

fof(f4501,plain,
    ( ~ spl154_3
    | spl154_15
    | ~ spl154_254 ),
    inference(avatar_contradiction_clause,[],[f4500]) ).

fof(f4500,plain,
    ( $false
    | ~ spl154_3
    | spl154_15
    | ~ spl154_254 ),
    inference(subsumption_resolution,[],[f4499,f1037]) ).

fof(f1037,plain,
    ( e0 != op(e2,e2)
    | spl154_15 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1036,plain,
    ( spl154_15
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_15])]) ).

fof(f4499,plain,
    ( e0 = op(e2,e2)
    | ~ spl154_3
    | ~ spl154_254 ),
    inference(forward_demodulation,[],[f2158,f987]) ).

fof(f2158,plain,
    ( e0 = op(op(e0,e2),e2)
    | ~ spl154_254 ),
    inference(avatar_component_clause,[],[f2156]) ).

fof(f2156,plain,
    ( spl154_254
  <=> e0 = op(op(e0,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_254])]) ).

fof(f4496,plain,
    ( ~ spl154_3
    | ~ spl154_13
    | spl154_168 ),
    inference(avatar_contradiction_clause,[],[f4495]) ).

fof(f4495,plain,
    ( $false
    | ~ spl154_3
    | ~ spl154_13
    | spl154_168 ),
    inference(subsumption_resolution,[],[f4494,f987]) ).

fof(f4494,plain,
    ( e2 != op(e0,e2)
    | ~ spl154_13
    | spl154_168 ),
    inference(forward_demodulation,[],[f1734,f1029]) ).

fof(f1029,plain,
    ( e2 = op(e2,e0)
    | ~ spl154_13 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f1028,plain,
    ( spl154_13
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_13])]) ).

fof(f1734,plain,
    ( op(e0,e2) != op(e2,e0)
    | spl154_168 ),
    inference(avatar_component_clause,[],[f1732]) ).

fof(f1732,plain,
    ( spl154_168
  <=> op(e0,e2) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_168])]) ).

fof(f4488,plain,
    ( spl154_115
    | ~ spl154_161
    | ~ spl154_169 ),
    inference(avatar_contradiction_clause,[],[f4487]) ).

fof(f4487,plain,
    ( $false
    | spl154_115
    | ~ spl154_161
    | ~ spl154_169 ),
    inference(subsumption_resolution,[],[f4486,f1739]) ).

fof(f1739,plain,
    ( e4 = op(e0,e4)
    | ~ spl154_169 ),
    inference(avatar_component_clause,[],[f1737]) ).

fof(f1737,plain,
    ( spl154_169
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_169])]) ).

fof(f4486,plain,
    ( e4 != op(e0,e4)
    | spl154_115
    | ~ spl154_161 ),
    inference(forward_demodulation,[],[f1484,f1702]) ).

fof(f1702,plain,
    ( e4 = op(e4,e0)
    | ~ spl154_161 ),
    inference(avatar_component_clause,[],[f1700]) ).

fof(f1700,plain,
    ( spl154_161
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_161])]) ).

fof(f1484,plain,
    ( op(e0,e4) != op(e4,e0)
    | spl154_115 ),
    inference(avatar_component_clause,[],[f1482]) ).

fof(f1482,plain,
    ( spl154_115
  <=> op(e0,e4) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_115])]) ).

fof(f4477,plain,
    ( ~ spl154_52
    | spl154_113
    | ~ spl154_154 ),
    inference(avatar_contradiction_clause,[],[f4476]) ).

fof(f4476,plain,
    ( $false
    | ~ spl154_52
    | spl154_113
    | ~ spl154_154 ),
    inference(subsumption_resolution,[],[f4475,f1202]) ).

fof(f1202,plain,
    ( e2 = op(e1,e3)
    | ~ spl154_52 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f1200,plain,
    ( spl154_52
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_52])]) ).

fof(f4475,plain,
    ( e2 != op(e1,e3)
    | spl154_113
    | ~ spl154_154 ),
    inference(forward_demodulation,[],[f1475,f1668]) ).

fof(f1668,plain,
    ( e2 = op(e3,e1)
    | ~ spl154_154 ),
    inference(avatar_component_clause,[],[f1667]) ).

fof(f1667,plain,
    ( spl154_154
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_154])]) ).

fof(f1475,plain,
    ( op(e1,e3) != op(e3,e1)
    | spl154_113 ),
    inference(avatar_component_clause,[],[f1473]) ).

fof(f1473,plain,
    ( spl154_113
  <=> op(e1,e3) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_113])]) ).

fof(f4472,plain,
    ( spl154_38
    | ~ spl154_154
    | ~ spl154_206 ),
    inference(avatar_contradiction_clause,[],[f4471]) ).

fof(f4471,plain,
    ( $false
    | spl154_38
    | ~ spl154_154
    | ~ spl154_206 ),
    inference(subsumption_resolution,[],[f4470,f1140]) ).

fof(f1140,plain,
    ( e3 != op(e2,e1)
    | spl154_38 ),
    inference(avatar_component_clause,[],[f1139]) ).

fof(f1139,plain,
    ( spl154_38
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_38])]) ).

fof(f4470,plain,
    ( e3 = op(e2,e1)
    | ~ spl154_154
    | ~ spl154_206 ),
    inference(forward_demodulation,[],[f1916,f1668]) ).

fof(f1916,plain,
    ( e3 = op(op(e3,e1),e1)
    | ~ spl154_206 ),
    inference(avatar_component_clause,[],[f1914]) ).

fof(f1914,plain,
    ( spl154_206
  <=> e3 = op(op(e3,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_206])]) ).

fof(f4468,plain,
    ( ~ spl154_184
    | ~ spl154_190
    | spl154_331 ),
    inference(avatar_contradiction_clause,[],[f4467]) ).

fof(f4467,plain,
    ( $false
    | ~ spl154_184
    | ~ spl154_190
    | spl154_331 ),
    inference(subsumption_resolution,[],[f4466,f1810]) ).

fof(f1810,plain,
    ( e3 = op(e1,e4)
    | ~ spl154_184 ),
    inference(avatar_component_clause,[],[f1809]) ).

fof(f1809,plain,
    ( spl154_184
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_184])]) ).

fof(f4466,plain,
    ( e3 != op(e1,e4)
    | ~ spl154_190
    | spl154_331 ),
    inference(forward_demodulation,[],[f2763,f1838]) ).

fof(f1838,plain,
    ( e1 = op(e4,e3)
    | ~ spl154_190 ),
    inference(avatar_component_clause,[],[f1837]) ).

fof(f1837,plain,
    ( spl154_190
  <=> e1 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_190])]) ).

fof(f2763,plain,
    ( e3 != op(op(e4,e3),e4)
    | spl154_331 ),
    inference(avatar_component_clause,[],[f2761]) ).

fof(f2761,plain,
    ( spl154_331
  <=> e3 = op(op(e4,e3),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_331])]) ).

fof(f4457,plain,
    ( spl154_119
    | ~ spl154_127
    | ~ spl154_136 ),
    inference(avatar_contradiction_clause,[],[f4456]) ).

fof(f4456,plain,
    ( $false
    | spl154_119
    | ~ spl154_127
    | ~ spl154_136 ),
    inference(subsumption_resolution,[],[f4455,f1540]) ).

fof(f1540,plain,
    ( e1 = op(e0,e1)
    | ~ spl154_127 ),
    inference(avatar_component_clause,[],[f1538]) ).

fof(f1538,plain,
    ( spl154_127
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_127])]) ).

fof(f4455,plain,
    ( e1 != op(e0,e1)
    | spl154_119
    | ~ spl154_136 ),
    inference(forward_demodulation,[],[f1503,f1580]) ).

fof(f1580,plain,
    ( e1 = op(e1,e0)
    | ~ spl154_136 ),
    inference(avatar_component_clause,[],[f1579]) ).

fof(f1579,plain,
    ( spl154_136
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_136])]) ).

fof(f1503,plain,
    ( op(e0,e1) != op(e1,e0)
    | spl154_119 ),
    inference(avatar_component_clause,[],[f1501]) ).

fof(f1501,plain,
    ( spl154_119
  <=> op(e0,e1) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_119])]) ).

fof(f4452,plain,
    ( ~ spl154_127
    | ~ spl154_136
    | spl154_330 ),
    inference(avatar_contradiction_clause,[],[f4451]) ).

fof(f4451,plain,
    ( $false
    | ~ spl154_127
    | ~ spl154_136
    | spl154_330 ),
    inference(subsumption_resolution,[],[f4450,f1580]) ).

fof(f4450,plain,
    ( e1 != op(e1,e0)
    | ~ spl154_127
    | spl154_330 ),
    inference(forward_demodulation,[],[f2757,f1540]) ).

fof(f2757,plain,
    ( e1 != op(op(e0,e1),e0)
    | spl154_330 ),
    inference(avatar_component_clause,[],[f2755]) ).

fof(f2755,plain,
    ( spl154_330
  <=> e1 = op(op(e0,e1),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_330])]) ).

fof(f4440,plain,
    ( ~ spl154_195
    | spl154_198
    | ~ spl154_227 ),
    inference(avatar_contradiction_clause,[],[f4439]) ).

fof(f4439,plain,
    ( $false
    | ~ spl154_195
    | spl154_198
    | ~ spl154_227 ),
    inference(subsumption_resolution,[],[f4438,f1877]) ).

fof(f1877,plain,
    ( e3 != op(e1,e2)
    | spl154_198 ),
    inference(avatar_component_clause,[],[f1876]) ).

fof(f1876,plain,
    ( spl154_198
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_198])]) ).

fof(f4438,plain,
    ( e3 = op(e1,e2)
    | ~ spl154_195
    | ~ spl154_227 ),
    inference(forward_demodulation,[],[f1864,f2015]) ).

fof(f2015,plain,
    ( e1 = op(e3,e2)
    | ~ spl154_227 ),
    inference(avatar_component_clause,[],[f2013]) ).

fof(f2013,plain,
    ( spl154_227
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_227])]) ).

fof(f1864,plain,
    ( e3 = op(op(e3,e2),e2)
    | ~ spl154_195 ),
    inference(avatar_component_clause,[],[f1862]) ).

fof(f1862,plain,
    ( spl154_195
  <=> e3 = op(op(e3,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_195])]) ).

fof(f4430,plain,
    ( ~ spl154_184
    | ~ spl154_189
    | spl154_277 ),
    inference(avatar_contradiction_clause,[],[f4429]) ).

fof(f4429,plain,
    ( $false
    | ~ spl154_184
    | ~ spl154_189
    | spl154_277 ),
    inference(subsumption_resolution,[],[f4428,f1810]) ).

fof(f4428,plain,
    ( e3 != op(e1,e4)
    | ~ spl154_189
    | spl154_277 ),
    inference(forward_demodulation,[],[f2292,f1835]) ).

fof(f1835,plain,
    ( e3 = op(e4,e1)
    | ~ spl154_189 ),
    inference(avatar_component_clause,[],[f1833]) ).

fof(f1833,plain,
    ( spl154_189
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_189])]) ).

fof(f2292,plain,
    ( op(e1,e4) != op(e4,e1)
    | spl154_277 ),
    inference(avatar_component_clause,[],[f2290]) ).

fof(f2290,plain,
    ( spl154_277
  <=> op(e1,e4) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_277])]) ).

fof(f4425,plain,
    ( ~ spl154_93
    | ~ spl154_176
    | spl154_181 ),
    inference(avatar_contradiction_clause,[],[f4424]) ).

fof(f4424,plain,
    ( $false
    | ~ spl154_93
    | ~ spl154_176
    | spl154_181 ),
    inference(subsumption_resolution,[],[f4423,f1795]) ).

fof(f1795,plain,
    ( e2 != op(e4,e1)
    | spl154_181 ),
    inference(avatar_component_clause,[],[f1794]) ).

fof(f1794,plain,
    ( spl154_181
  <=> e2 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_181])]) ).

fof(f4423,plain,
    ( e2 = op(e4,e1)
    | ~ spl154_93
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f1773,f1383]) ).

fof(f1383,plain,
    ( e4 = op(e2,e1)
    | ~ spl154_93 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f1382,plain,
    ( spl154_93
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_93])]) ).

fof(f1773,plain,
    ( e2 = op(op(e2,e1),e1)
    | ~ spl154_176 ),
    inference(avatar_component_clause,[],[f1771]) ).

fof(f1771,plain,
    ( spl154_176
  <=> e2 = op(op(e2,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_176])]) ).

fof(f4402,plain,
    ( ~ spl154_130
    | ~ spl154_142 ),
    inference(avatar_contradiction_clause,[],[f4401]) ).

fof(f4401,plain,
    ( $false
    | ~ spl154_130
    | ~ spl154_142 ),
    inference(subsumption_resolution,[],[f4400,f965]) ).

fof(f965,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f4400,plain,
    ( e0 = e4
    | ~ spl154_130
    | ~ spl154_142 ),
    inference(forward_demodulation,[],[f1611,f1554]) ).

fof(f1611,plain,
    ( e4 = op(e4,e2)
    | ~ spl154_142 ),
    inference(avatar_component_clause,[],[f1610]) ).

fof(f1610,plain,
    ( spl154_142
  <=> e4 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_142])]) ).

fof(f4388,plain,
    ( ~ spl154_93
    | ~ spl154_146
    | spl154_307 ),
    inference(avatar_contradiction_clause,[],[f4387]) ).

fof(f4387,plain,
    ( $false
    | ~ spl154_93
    | ~ spl154_146
    | spl154_307 ),
    inference(subsumption_resolution,[],[f4386,f1629]) ).

fof(f4386,plain,
    ( e4 != op(e1,e2)
    | ~ spl154_93
    | spl154_307 ),
    inference(forward_demodulation,[],[f2500,f1383]) ).

fof(f2500,plain,
    ( op(e1,e2) != op(e2,e1)
    | spl154_307 ),
    inference(avatar_component_clause,[],[f2498]) ).

fof(f2498,plain,
    ( spl154_307
  <=> op(e1,e2) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_307])]) ).

fof(f4382,plain,
    ( spl154_169
    | ~ spl154_90 ),
    inference(avatar_split_clause,[],[f4189,f1369,f1737]) ).

fof(f1369,plain,
    ( spl154_90
  <=> e0 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_90])]) ).

fof(f4189,plain,
    ( e4 = op(e0,e4)
    | ~ spl154_90 ),
    inference(forward_demodulation,[],[f920,f1370]) ).

fof(f1370,plain,
    ( e0 = unit
    | ~ spl154_90 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f920,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( e1 = op(e1,unit)
    & ( e4 = unit
      | e3 = unit
      | e0 = unit
      | e1 = unit
      | e2 = unit )
    & e0 = op(unit,e0)
    & e3 = op(e3,unit)
    & e4 = op(e4,unit)
    & e2 = op(e2,unit)
    & e2 = op(unit,e2)
    & e1 = op(unit,e1)
    & e3 = op(unit,e3)
    & e0 = op(e0,unit)
    & e4 = op(unit,e4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f4340,plain,
    ( ~ spl154_180
    | ~ spl154_3 ),
    inference(avatar_split_clause,[],[f4339,f985,f1790]) ).

fof(f1790,plain,
    ( spl154_180
  <=> e2 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_180])]) ).

fof(f4339,plain,
    ( e2 != op(e4,e2)
    | ~ spl154_3 ),
    inference(forward_demodulation,[],[f320,f987]) ).

fof(f320,plain,
    op(e0,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( op(e3,e2) != op(e3,e4)
    & op(e2,e2) != op(e4,e2)
    & op(e0,e1) != op(e3,e1)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e3) != op(e2,e4)
    & op(e4,e1) != op(e4,e3)
    & op(e0,e0) != op(e4,e0)
    & op(e4,e1) != op(e4,e4)
    & op(e2,e1) != op(e2,e4)
    & op(e0,e0) != op(e0,e3)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e1) != op(e1,e4)
    & op(e4,e0) != op(e4,e1)
    & op(e0,e4) != op(e4,e4)
    & op(e3,e2) != op(e4,e2)
    & op(e4,e0) != op(e4,e4)
    & op(e0,e4) != op(e1,e4)
    & op(e3,e1) != op(e3,e4)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e3,e0) != op(e3,e2)
    & op(e1,e4) != op(e4,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e4,e1) != op(e4,e2)
    & op(e1,e1) != op(e4,e1)
    & op(e2,e2) != op(e3,e2)
    & op(e2,e0) != op(e2,e4)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e2) != op(e1,e4)
    & op(e0,e3) != op(e2,e3)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e2) != op(e2,e2)
    & op(e1,e0) != op(e4,e0)
    & op(e3,e1) != op(e4,e1)
    & op(e1,e3) != op(e3,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e0) != op(e4,e0)
    & op(e3,e1) != op(e3,e3)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e3,e1) != op(e3,e2)
    & op(e1,e3) != op(e4,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e2,e3) != op(e4,e3)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e3) != op(e2,e3)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e0) != op(e3,e0)
    & op(e4,e2) != op(e4,e4)
    & op(e2,e2) != op(e2,e4)
    & op(e0,e1) != op(e2,e1)
    & op(e4,e3) != op(e4,e4)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e1) != op(e1,e2)
    & op(e0,e3) != op(e4,e3)
    & op(e0,e1) != op(e4,e1)
    & op(e0,e0) != op(e1,e0)
    & op(e0,e3) != op(e1,e3)
    & op(e3,e3) != op(e4,e3)
    & op(e0,e4) != op(e2,e4)
    & op(e1,e3) != op(e1,e4)
    & op(e3,e0) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e4) != op(e3,e4)
    & op(e4,e0) != op(e4,e2)
    & op(e0,e0) != op(e0,e4)
    & op(e1,e0) != op(e1,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e3,e0) != op(e3,e4)
    & op(e1,e2) != op(e4,e2)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e1) != op(e0,e4)
    & op(e4,e2) != op(e4,e3)
    & op(e0,e3) != op(e0,e4)
    & op(e0,e3) != op(e3,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e3,e0) != op(e4,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e0,e2) != op(e0,e4)
    & op(e3,e4) != op(e4,e4)
    & op(e4,e0) != op(e4,e3)
    & op(e3,e3) != op(e3,e4)
    & op(e1,e0) != op(e1,e2)
    & op(e2,e1) != op(e4,e1)
    & op(e0,e1) != op(e0,e3)
    & op(e2,e4) != op(e4,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e0,e2) != op(e4,e2)
    & op(e1,e4) != op(e2,e4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f4323,plain,
    ( spl154_56
    | ~ spl154_90 ),
    inference(avatar_contradiction_clause,[],[f4322]) ).

fof(f4322,plain,
    ( $false
    | spl154_56
    | ~ spl154_90 ),
    inference(subsumption_resolution,[],[f4081,f1218]) ).

fof(f1218,plain,
    ( e3 != op(e0,e3)
    | spl154_56 ),
    inference(avatar_component_clause,[],[f1217]) ).

fof(f1217,plain,
    ( spl154_56
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_56])]) ).

fof(f4081,plain,
    ( e3 = op(e0,e3)
    | ~ spl154_90 ),
    inference(backward_demodulation,[],[f922,f1370]) ).

fof(f922,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f4300,plain,
    ( spl154_161
    | ~ spl154_90 ),
    inference(avatar_split_clause,[],[f4088,f1369,f1700]) ).

fof(f4088,plain,
    ( e4 = op(e4,e0)
    | ~ spl154_90 ),
    inference(forward_demodulation,[],[f926,f1370]) ).

fof(f926,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f4298,plain,
    ( spl154_136
    | ~ spl154_90 ),
    inference(avatar_split_clause,[],[f4079,f1369,f1579]) ).

fof(f4079,plain,
    ( e1 = op(e1,e0)
    | ~ spl154_90 ),
    inference(backward_demodulation,[],[f930,f1370]) ).

fof(f930,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f4247,plain,
    ( spl154_13
    | ~ spl154_90 ),
    inference(avatar_split_clause,[],[f4119,f1369,f1028]) ).

fof(f4119,plain,
    ( e2 = op(e2,e0)
    | ~ spl154_90 ),
    inference(forward_demodulation,[],[f925,f1370]) ).

fof(f925,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f4246,plain,
    ( ~ spl154_189
    | ~ spl154_276 ),
    inference(avatar_split_clause,[],[f4245,f2285,f1833]) ).

fof(f2285,plain,
    ( spl154_276
  <=> e3 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_276])]) ).

fof(f4245,plain,
    ( e3 != op(e4,e1)
    | ~ spl154_276 ),
    inference(forward_demodulation,[],[f411,f2286]) ).

fof(f2286,plain,
    ( e3 = op(e4,e4)
    | ~ spl154_276 ),
    inference(avatar_component_clause,[],[f2285]) ).

fof(f411,plain,
    op(e4,e1) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f4239,plain,
    ( ~ spl154_181
    | ~ spl154_154 ),
    inference(avatar_split_clause,[],[f4238,f1667,f1794]) ).

fof(f4238,plain,
    ( e2 != op(e4,e1)
    | ~ spl154_154 ),
    inference(forward_demodulation,[],[f384,f1668]) ).

fof(f384,plain,
    op(e3,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f4237,plain,
    ( ~ spl154_199
    | ~ spl154_35 ),
    inference(avatar_split_clause,[],[f4233,f1126,f1881]) ).

fof(f1881,plain,
    ( spl154_199
  <=> e0 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_199])]) ).

fof(f4233,plain,
    ( e0 != op(e2,e4)
    | ~ spl154_35 ),
    inference(backward_demodulation,[],[f348,f1128]) ).

fof(f348,plain,
    op(e2,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f4209,plain,
    ( ~ spl154_15
    | ~ spl154_39 ),
    inference(avatar_contradiction_clause,[],[f4208]) ).

fof(f4208,plain,
    ( $false
    | ~ spl154_15
    | ~ spl154_39 ),
    inference(subsumption_resolution,[],[f4206,f966]) ).

fof(f966,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f4206,plain,
    ( e0 = e3
    | ~ spl154_15
    | ~ spl154_39 ),
    inference(backward_demodulation,[],[f1145,f1038]) ).

fof(f1038,plain,
    ( e0 = op(e2,e2)
    | ~ spl154_15 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1145,plain,
    ( e3 = op(e2,e2)
    | ~ spl154_39 ),
    inference(avatar_component_clause,[],[f1143]) ).

fof(f1143,plain,
    ( spl154_39
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_39])]) ).

fof(f4153,plain,
    ( spl154_3
    | ~ spl154_90 ),
    inference(avatar_contradiction_clause,[],[f4152]) ).

fof(f4152,plain,
    ( $false
    | spl154_3
    | ~ spl154_90 ),
    inference(subsumption_resolution,[],[f4151,f986]) ).

fof(f986,plain,
    ( e2 != op(e0,e2)
    | spl154_3 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f4151,plain,
    ( e2 = op(e0,e2)
    | ~ spl154_90 ),
    inference(forward_demodulation,[],[f924,f1370]) ).

fof(f924,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f4131,plain,
    ( ~ spl154_268
    | ~ spl154_249 ),
    inference(avatar_split_clause,[],[f4130,f2132,f2245]) ).

fof(f2245,plain,
    ( spl154_268
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_268])]) ).

fof(f2132,plain,
    ( spl154_249
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_249])]) ).

fof(f4130,plain,
    ( e0 != op(e3,e0)
    | ~ spl154_249 ),
    inference(forward_demodulation,[],[f364,f2133]) ).

fof(f2133,plain,
    ( e0 = op(e0,e0)
    | ~ spl154_249 ),
    inference(avatar_component_clause,[],[f2132]) ).

fof(f364,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4122,plain,
    ( ~ spl154_90
    | ~ spl154_103
    | spl154_239 ),
    inference(avatar_contradiction_clause,[],[f4121]) ).

fof(f4121,plain,
    ( $false
    | ~ spl154_90
    | ~ spl154_103
    | spl154_239 ),
    inference(subsumption_resolution,[],[f4120,f2081]) ).

fof(f2081,plain,
    ( e1 != e2
    | spl154_239 ),
    inference(avatar_component_clause,[],[f2079]) ).

fof(f2079,plain,
    ( spl154_239
  <=> e1 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_239])]) ).

fof(f4120,plain,
    ( e1 = e2
    | ~ spl154_90
    | ~ spl154_103 ),
    inference(forward_demodulation,[],[f4119,f1429]) ).

fof(f1429,plain,
    ( e1 = op(e2,e0)
    | ~ spl154_103 ),
    inference(avatar_component_clause,[],[f1427]) ).

fof(f1427,plain,
    ( spl154_103
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_103])]) ).

fof(f4096,plain,
    ( spl154_127
    | ~ spl154_90 ),
    inference(avatar_split_clause,[],[f4095,f1369,f1538]) ).

fof(f4095,plain,
    ( e1 = op(e0,e1)
    | ~ spl154_90 ),
    inference(forward_demodulation,[],[f923,f1370]) ).

fof(f923,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f4086,plain,
    ( spl154_249
    | ~ spl154_90 ),
    inference(avatar_split_clause,[],[f4077,f1369,f2132]) ).

fof(f4077,plain,
    ( e0 = op(e0,e0)
    | ~ spl154_90 ),
    inference(backward_demodulation,[],[f928,f1370]) ).

fof(f928,plain,
    e0 = op(unit,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f4085,plain,
    ( spl154_125
    | ~ spl154_90 ),
    inference(avatar_split_clause,[],[f4080,f1369,f1528]) ).

fof(f1528,plain,
    ( spl154_125
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_125])]) ).

fof(f4080,plain,
    ( e3 = op(e3,e0)
    | ~ spl154_90 ),
    inference(backward_demodulation,[],[f927,f1370]) ).

fof(f927,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f4068,plain,
    ( ~ spl154_244
    | ~ spl154_227 ),
    inference(avatar_split_clause,[],[f3879,f2013,f2107]) ).

fof(f2107,plain,
    ( spl154_244
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_244])]) ).

fof(f3879,plain,
    ( e1 != op(e4,e2)
    | ~ spl154_227 ),
    inference(forward_demodulation,[],[f404,f2015]) ).

fof(f404,plain,
    op(e3,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f4060,plain,
    ( ~ spl154_125
    | ~ spl154_187 ),
    inference(avatar_split_clause,[],[f4027,f1822,f1528]) ).

fof(f1822,plain,
    ( spl154_187
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_187])]) ).

fof(f4027,plain,
    ( e3 != op(e3,e0)
    | ~ spl154_187 ),
    inference(forward_demodulation,[],[f350,f1824]) ).

fof(f1824,plain,
    ( e3 = op(e3,e1)
    | ~ spl154_187 ),
    inference(avatar_component_clause,[],[f1822]) ).

fof(f350,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f4059,plain,
    ( ~ spl154_125
    | ~ spl154_56
    | spl154_285 ),
    inference(avatar_split_clause,[],[f4058,f2343,f1217,f1528]) ).

fof(f2343,plain,
    ( spl154_285
  <=> op(e0,e3) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_285])]) ).

fof(f4058,plain,
    ( e3 != op(e3,e0)
    | ~ spl154_56
    | spl154_285 ),
    inference(forward_demodulation,[],[f2345,f1219]) ).

fof(f1219,plain,
    ( e3 = op(e0,e3)
    | ~ spl154_56 ),
    inference(avatar_component_clause,[],[f1217]) ).

fof(f2345,plain,
    ( op(e0,e3) != op(e3,e0)
    | spl154_285 ),
    inference(avatar_component_clause,[],[f2343]) ).

fof(f4008,plain,
    ( ~ spl154_54
    | ~ spl154_140 ),
    inference(avatar_contradiction_clause,[],[f4007]) ).

fof(f4007,plain,
    ( $false
    | ~ spl154_54
    | ~ spl154_140 ),
    inference(subsumption_resolution,[],[f4006,f960]) ).

fof(f960,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f4006,plain,
    ( e0 = e2
    | ~ spl154_54
    | ~ spl154_140 ),
    inference(forward_demodulation,[],[f1210,f1601]) ).

fof(f1210,plain,
    ( e2 = op(e2,e3)
    | ~ spl154_54 ),
    inference(avatar_component_clause,[],[f1208]) ).

fof(f1208,plain,
    ( spl154_54
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_54])]) ).

fof(f3993,plain,
    ( ~ spl154_71
    | ~ spl154_75 ),
    inference(avatar_contradiction_clause,[],[f3992]) ).

fof(f3992,plain,
    ( $false
    | ~ spl154_71
    | ~ spl154_75 ),
    inference(subsumption_resolution,[],[f3991,f964]) ).

fof(f964,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f3991,plain,
    ( e0 = e1
    | ~ spl154_71
    | ~ spl154_75 ),
    inference(forward_demodulation,[],[f3980,f1304]) ).

fof(f1304,plain,
    ( e0 = op(e1,e1)
    | ~ spl154_75 ),
    inference(avatar_component_clause,[],[f1302]) ).

fof(f1302,plain,
    ( spl154_75
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_75])]) ).

fof(f3980,plain,
    ( e1 = op(e1,e1)
    | ~ spl154_71 ),
    inference(backward_demodulation,[],[f923,f1285]) ).

fof(f1285,plain,
    ( e1 = unit
    | ~ spl154_71 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f1284,plain,
    ( spl154_71
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_71])]) ).

fof(f3872,plain,
    ( ~ spl154_36
    | ~ spl154_133 ),
    inference(avatar_split_clause,[],[f3457,f1566,f1130]) ).

fof(f1130,plain,
    ( spl154_36
  <=> e4 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_36])]) ).

fof(f1566,plain,
    ( spl154_133
  <=> e4 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_133])]) ).

fof(f3457,plain,
    ( e4 != op(e3,e0)
    | ~ spl154_133 ),
    inference(forward_demodulation,[],[f381,f1567]) ).

fof(f1567,plain,
    ( e4 = op(e3,e3)
    | ~ spl154_133 ),
    inference(avatar_component_clause,[],[f1566]) ).

fof(f381,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3871,plain,
    ( ~ spl154_122
    | ~ spl154_75 ),
    inference(avatar_split_clause,[],[f3252,f1302,f1515]) ).

fof(f1515,plain,
    ( spl154_122
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_122])]) ).

fof(f3252,plain,
    ( e0 != op(e1,e2)
    | ~ spl154_75 ),
    inference(forward_demodulation,[],[f358,f1304]) ).

fof(f358,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f3870,plain,
    ( ~ spl154_80
    | ~ spl154_133 ),
    inference(avatar_split_clause,[],[f3561,f1566,f1324]) ).

fof(f1324,plain,
    ( spl154_80
  <=> e4 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_80])]) ).

fof(f3561,plain,
    ( e4 != op(e1,e3)
    | ~ spl154_133 ),
    inference(forward_demodulation,[],[f383,f1567]) ).

fof(f383,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3869,plain,
    ( ~ spl154_75
    | ~ spl154_197 ),
    inference(avatar_contradiction_clause,[],[f3868]) ).

fof(f3868,plain,
    ( $false
    | ~ spl154_75
    | ~ spl154_197 ),
    inference(subsumption_resolution,[],[f3867,f966]) ).

fof(f3867,plain,
    ( e0 = e3
    | ~ spl154_75
    | ~ spl154_197 ),
    inference(forward_demodulation,[],[f1872,f1304]) ).

fof(f1872,plain,
    ( e3 = op(e1,e1)
    | ~ spl154_197 ),
    inference(avatar_component_clause,[],[f1871]) ).

fof(f1871,plain,
    ( spl154_197
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_197])]) ).

fof(f3833,plain,
    ( ~ spl154_186
    | ~ spl154_227 ),
    inference(avatar_split_clause,[],[f3398,f2013,f1818]) ).

fof(f1818,plain,
    ( spl154_186
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_186])]) ).

fof(f3398,plain,
    ( e1 != op(e3,e3)
    | ~ spl154_227 ),
    inference(backward_demodulation,[],[f396,f2015]) ).

fof(f396,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3754,plain,
    ( ~ spl154_4
    | ~ spl154_89 ),
    inference(avatar_contradiction_clause,[],[f3753]) ).

fof(f3753,plain,
    ( $false
    | ~ spl154_4
    | ~ spl154_89 ),
    inference(subsumption_resolution,[],[f3752,f991]) ).

fof(f991,plain,
    ( e0 = op(e0,e2)
    | ~ spl154_4 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f989,plain,
    ( spl154_4
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_4])]) ).

fof(f3752,plain,
    ( e0 != op(e0,e2)
    | ~ spl154_89 ),
    inference(forward_demodulation,[],[f330,f1366]) ).

fof(f1366,plain,
    ( e0 = op(e0,e4)
    | ~ spl154_89 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f1365,plain,
    ( spl154_89
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_89])]) ).

fof(f330,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3749,plain,
    ( ~ spl154_22
    | ~ spl154_75 ),
    inference(avatar_split_clause,[],[f3320,f1302,f1067]) ).

fof(f1067,plain,
    ( spl154_22
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_22])]) ).

fof(f3320,plain,
    ( e0 != op(e1,e3)
    | ~ spl154_75 ),
    inference(forward_demodulation,[],[f391,f1304]) ).

fof(f391,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3721,plain,
    ( ~ spl154_184
    | ~ spl154_82 ),
    inference(avatar_split_clause,[],[f3720,f1332,f1809]) ).

fof(f1332,plain,
    ( spl154_82
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_82])]) ).

fof(f3720,plain,
    ( e3 != op(e1,e4)
    | ~ spl154_82 ),
    inference(forward_demodulation,[],[f351,f1334]) ).

fof(f1334,plain,
    ( e3 = op(e1,e3)
    | ~ spl154_82 ),
    inference(avatar_component_clause,[],[f1332]) ).

fof(f351,plain,
    op(e1,e3) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3692,plain,
    ( ~ spl154_124
    | ~ spl154_133 ),
    inference(avatar_contradiction_clause,[],[f3691]) ).

fof(f3691,plain,
    ( $false
    | ~ spl154_124
    | ~ spl154_133 ),
    inference(subsumption_resolution,[],[f3689,f965]) ).

fof(f3689,plain,
    ( e0 = e4
    | ~ spl154_124
    | ~ spl154_133 ),
    inference(backward_demodulation,[],[f1567,f1525]) ).

fof(f1525,plain,
    ( e0 = op(e3,e3)
    | ~ spl154_124 ),
    inference(avatar_component_clause,[],[f1524]) ).

fof(f1524,plain,
    ( spl154_124
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_124])]) ).

fof(f3657,plain,
    ( spl154_89
    | ~ spl154_92 ),
    inference(avatar_contradiction_clause,[],[f3656]) ).

fof(f3656,plain,
    ( $false
    | spl154_89
    | ~ spl154_92 ),
    inference(subsumption_resolution,[],[f3655,f1367]) ).

fof(f1367,plain,
    ( e0 != op(e0,e4)
    | spl154_89 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f3655,plain,
    ( e0 = op(e0,e4)
    | ~ spl154_92 ),
    inference(forward_demodulation,[],[f921,f1379]) ).

fof(f1379,plain,
    ( e4 = unit
    | ~ spl154_92 ),
    inference(avatar_component_clause,[],[f1378]) ).

fof(f1378,plain,
    ( spl154_92
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_92])]) ).

fof(f921,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f3652,plain,
    ( ~ spl154_39
    | ~ spl154_210 ),
    inference(avatar_contradiction_clause,[],[f3651]) ).

fof(f3651,plain,
    ( $false
    | ~ spl154_39
    | ~ spl154_210 ),
    inference(subsumption_resolution,[],[f3650,f963]) ).

fof(f963,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f3650,plain,
    ( e1 = e3
    | ~ spl154_39
    | ~ spl154_210 ),
    inference(backward_demodulation,[],[f1145,f1934]) ).

fof(f1934,plain,
    ( e1 = op(e2,e2)
    | ~ spl154_210 ),
    inference(avatar_component_clause,[],[f1933]) ).

fof(f1933,plain,
    ( spl154_210
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_210])]) ).

fof(f3573,plain,
    ( ~ spl154_76
    | ~ spl154_75 ),
    inference(avatar_split_clause,[],[f3572,f1302,f1306]) ).

fof(f1306,plain,
    ( spl154_76
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_76])]) ).

fof(f3572,plain,
    ( e0 != op(e2,e1)
    | ~ spl154_75 ),
    inference(forward_demodulation,[],[f400,f1304]) ).

fof(f400,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3571,plain,
    ( ~ spl154_249
    | ~ spl154_4 ),
    inference(avatar_split_clause,[],[f3570,f989,f2132]) ).

fof(f3570,plain,
    ( e0 != op(e0,e0)
    | ~ spl154_4 ),
    inference(forward_demodulation,[],[f399,f991]) ).

fof(f399,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f3553,plain,
    ( ~ spl154_92
    | ~ spl154_130 ),
    inference(avatar_contradiction_clause,[],[f3552]) ).

fof(f3552,plain,
    ( $false
    | ~ spl154_92
    | ~ spl154_130 ),
    inference(subsumption_resolution,[],[f3551,f960]) ).

fof(f3551,plain,
    ( e0 = e2
    | ~ spl154_92
    | ~ spl154_130 ),
    inference(forward_demodulation,[],[f3548,f1554]) ).

fof(f3548,plain,
    ( e2 = op(e4,e2)
    | ~ spl154_92 ),
    inference(backward_demodulation,[],[f924,f1379]) ).

fof(f3545,plain,
    ( ~ spl154_38
    | ~ spl154_39 ),
    inference(avatar_split_clause,[],[f3208,f1143,f1139]) ).

fof(f3208,plain,
    ( e3 != op(e2,e1)
    | ~ spl154_39 ),
    inference(forward_demodulation,[],[f343,f1145]) ).

fof(f343,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f3523,plain,
    ( ~ spl154_46
    | ~ spl154_56 ),
    inference(avatar_contradiction_clause,[],[f3522]) ).

fof(f3522,plain,
    ( $false
    | ~ spl154_46
    | ~ spl154_56 ),
    inference(subsumption_resolution,[],[f3521,f962]) ).

fof(f962,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f3521,plain,
    ( e2 = e3
    | ~ spl154_46
    | ~ spl154_56 ),
    inference(forward_demodulation,[],[f1219,f1176]) ).

fof(f1176,plain,
    ( e2 = op(e0,e3)
    | ~ spl154_46 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f3515,plain,
    ( ~ spl154_269
    | ~ spl154_127 ),
    inference(avatar_split_clause,[],[f3514,f1538,f2251]) ).

fof(f2251,plain,
    ( spl154_269
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_269])]) ).

fof(f3514,plain,
    ( e1 != op(e2,e1)
    | ~ spl154_127 ),
    inference(forward_demodulation,[],[f361,f1540]) ).

fof(f361,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3506,plain,
    ( ~ spl154_228
    | ~ spl154_35 ),
    inference(avatar_split_clause,[],[f3505,f1126,f2018]) ).

fof(f2018,plain,
    ( spl154_228
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_228])]) ).

fof(f3505,plain,
    ( e0 != op(e4,e4)
    | ~ spl154_35 ),
    inference(forward_demodulation,[],[f329,f1128]) ).

fof(f329,plain,
    op(e3,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3452,plain,
    ( ~ spl154_158
    | ~ spl154_227 ),
    inference(avatar_split_clause,[],[f3451,f2013,f1686]) ).

fof(f1686,plain,
    ( spl154_158
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_158])]) ).

fof(f3451,plain,
    ( e1 != op(e3,e1)
    | ~ spl154_227 ),
    inference(forward_demodulation,[],[f372,f2015]) ).

fof(f372,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f3430,plain,
    ( ~ spl154_60
    | ~ spl154_127 ),
    inference(avatar_contradiction_clause,[],[f3429]) ).

fof(f3429,plain,
    ( $false
    | ~ spl154_60
    | ~ spl154_127 ),
    inference(subsumption_resolution,[],[f3428,f963]) ).

fof(f3428,plain,
    ( e1 = e3
    | ~ spl154_60
    | ~ spl154_127 ),
    inference(backward_demodulation,[],[f1236,f1540]) ).

fof(f1236,plain,
    ( e3 = op(e0,e1)
    | ~ spl154_60 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f1234,plain,
    ( spl154_60
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_60])]) ).

fof(f3426,plain,
    ( ~ spl154_90
    | ~ spl154_118 ),
    inference(avatar_contradiction_clause,[],[f3425]) ).

fof(f3425,plain,
    ( $false
    | ~ spl154_90
    | ~ spl154_118 ),
    inference(subsumption_resolution,[],[f3424,f967]) ).

fof(f3424,plain,
    ( e2 = e4
    | ~ spl154_90
    | ~ spl154_118 ),
    inference(forward_demodulation,[],[f3423,f1497]) ).

fof(f1497,plain,
    ( e2 = op(e4,e0)
    | ~ spl154_118 ),
    inference(avatar_component_clause,[],[f1496]) ).

fof(f1496,plain,
    ( spl154_118
  <=> e2 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_118])]) ).

fof(f3423,plain,
    ( e4 = op(e4,e0)
    | ~ spl154_90 ),
    inference(forward_demodulation,[],[f926,f1370]) ).

fof(f3395,plain,
    ( ~ spl154_145
    | ~ spl154_169 ),
    inference(avatar_contradiction_clause,[],[f3394]) ).

fof(f3394,plain,
    ( $false
    | ~ spl154_145
    | ~ spl154_169 ),
    inference(subsumption_resolution,[],[f3393,f968]) ).

fof(f968,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f3393,plain,
    ( e3 = e4
    | ~ spl154_145
    | ~ spl154_169 ),
    inference(backward_demodulation,[],[f1739,f1625]) ).

fof(f1625,plain,
    ( e3 = op(e0,e4)
    | ~ spl154_145 ),
    inference(avatar_component_clause,[],[f1623]) ).

fof(f3328,plain,
    ( ~ spl154_18
    | ~ spl154_75 ),
    inference(avatar_split_clause,[],[f3327,f1302,f1050]) ).

fof(f1050,plain,
    ( spl154_18
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_18])]) ).

fof(f3327,plain,
    ( e0 != op(e3,e1)
    | ~ spl154_75 ),
    inference(forward_demodulation,[],[f367,f1304]) ).

fof(f367,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3233,plain,
    ( ~ spl154_111
    | ~ spl154_3 ),
    inference(avatar_split_clause,[],[f3232,f985,f1463]) ).

fof(f1463,plain,
    ( spl154_111
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_111])]) ).

fof(f3232,plain,
    ( e2 != op(e1,e2)
    | ~ spl154_3 ),
    inference(forward_demodulation,[],[f349,f987]) ).

fof(f349,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f3179,plain,
    ( spl154_42
    | ~ spl154_84 ),
    inference(avatar_split_clause,[],[f3178,f1342,f1156]) ).

fof(f1156,plain,
    ( spl154_42
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_42])]) ).

fof(f1342,plain,
    ( spl154_84
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_84])]) ).

fof(f3178,plain,
    ( e1 = op(e1,e2)
    | ~ spl154_84 ),
    inference(forward_demodulation,[],[f930,f1343]) ).

fof(f1343,plain,
    ( e2 = unit
    | ~ spl154_84 ),
    inference(avatar_component_clause,[],[f1342]) ).

fof(f3177,plain,
    ( ~ spl154_198
    | ~ spl154_39 ),
    inference(avatar_split_clause,[],[f3176,f1143,f1876]) ).

fof(f3176,plain,
    ( e3 != op(e1,e2)
    | ~ spl154_39 ),
    inference(forward_demodulation,[],[f374,f1145]) ).

fof(f374,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f3142,plain,
    ( spl154_227
    | ~ spl154_39 ),
    inference(avatar_split_clause,[],[f3106,f1143,f2013]) ).

fof(f3106,plain,
    ( e1 = op(e3,e2)
    | ~ spl154_39 ),
    inference(backward_demodulation,[],[f957,f1145]) ).

fof(f957,plain,
    e1 = op(op(e2,e2),e2),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e3 = op(e2,e2)
    & e4 = op(op(e2,e2),op(e2,e2))
    & e1 = op(op(e2,e2),e2)
    & e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f3141,plain,
    ( spl154_133
    | ~ spl154_39 ),
    inference(avatar_split_clause,[],[f3107,f1143,f1566]) ).

fof(f3107,plain,
    ( e4 = op(e3,e3)
    | ~ spl154_39 ),
    inference(backward_demodulation,[],[f958,f1145]) ).

fof(f958,plain,
    e4 = op(op(e2,e2),op(e2,e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f3140,plain,
    ( ~ spl154_249
    | ~ spl154_104 ),
    inference(avatar_split_clause,[],[f3139,f1431,f2132]) ).

fof(f1431,plain,
    ( spl154_104
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_104])]) ).

fof(f3139,plain,
    ( e0 != op(e0,e0)
    | ~ spl154_104 ),
    inference(forward_demodulation,[],[f339,f1433]) ).

fof(f1433,plain,
    ( e0 = op(e2,e0)
    | ~ spl154_104 ),
    inference(avatar_component_clause,[],[f1431]) ).

fof(f339,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f3114,plain,
    ( ~ spl154_24
    | ~ spl154_39 ),
    inference(avatar_contradiction_clause,[],[f3113]) ).

fof(f3113,plain,
    ( $false
    | ~ spl154_24
    | ~ spl154_39 ),
    inference(subsumption_resolution,[],[f3112,f964]) ).

fof(f3112,plain,
    ( e0 = e1
    | ~ spl154_24
    | ~ spl154_39 ),
    inference(forward_demodulation,[],[f3106,f1077]) ).

fof(f1077,plain,
    ( e0 = op(e3,e2)
    | ~ spl154_24 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f1076,plain,
    ( spl154_24
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_24])]) ).

fof(f3042,plain,
    ( ~ spl154_39
    | ~ spl154_37 ),
    inference(avatar_split_clause,[],[f3039,f1135,f1143]) ).

fof(f1135,plain,
    ( spl154_37
  <=> e3 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_37])]) ).

fof(f3039,plain,
    ( e3 != op(e2,e2)
    | ~ spl154_37 ),
    inference(backward_demodulation,[],[f362,f1137]) ).

fof(f1137,plain,
    ( e3 = op(e2,e4)
    | ~ spl154_37 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f362,plain,
    op(e2,e2) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3035,plain,
    ( ~ spl154_39
    | ~ spl154_8 ),
    inference(avatar_split_clause,[],[f3032,f1006,f1143]) ).

fof(f1006,plain,
    ( spl154_8
  <=> e3 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_8])]) ).

fof(f3032,plain,
    ( e3 != op(e2,e2)
    | ~ spl154_8 ),
    inference(backward_demodulation,[],[f417,f1007]) ).

fof(f1007,plain,
    ( e3 = op(e4,e2)
    | ~ spl154_8 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f417,plain,
    op(e2,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2993,plain,
    ( spl154_158
    | ~ spl154_66 ),
    inference(avatar_split_clause,[],[f2969,f1261,f1686]) ).

fof(f1261,plain,
    ( spl154_66
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_66])]) ).

fof(f2969,plain,
    ( e1 = op(e3,e1)
    | ~ spl154_66 ),
    inference(backward_demodulation,[],[f923,f1262]) ).

fof(f1262,plain,
    ( e3 = unit
    | ~ spl154_66 ),
    inference(avatar_component_clause,[],[f1261]) ).

fof(f2902,plain,
    ( ~ spl154_125
    | ~ spl154_65 ),
    inference(avatar_split_clause,[],[f2895,f1257,f1528]) ).

fof(f1257,plain,
    ( spl154_65
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_65])]) ).

fof(f2895,plain,
    ( e3 != op(e3,e0)
    | ~ spl154_65 ),
    inference(backward_demodulation,[],[f342,f1258]) ).

fof(f1258,plain,
    ( e3 = op(e3,e4)
    | ~ spl154_65 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f342,plain,
    op(e3,e0) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2847,plain,
    ( ~ spl154_227
    | ~ spl154_42 ),
    inference(avatar_split_clause,[],[f2842,f1156,f2013]) ).

fof(f2842,plain,
    ( e1 != op(e3,e2)
    | ~ spl154_42 ),
    inference(backward_demodulation,[],[f373,f1157]) ).

fof(f1157,plain,
    ( e1 = op(e1,e2)
    | ~ spl154_42 ),
    inference(avatar_component_clause,[],[f1156]) ).

fof(f373,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2820,plain,
    ( ~ spl154_178
    | ~ spl154_297
    | spl154_93 ),
    inference(avatar_split_clause,[],[f888,f1382,f2422,f1781]) ).

fof(f1781,plain,
    ( spl154_178
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_178])]) ).

fof(f888,plain,
    ( e4 = op(e2,e1)
    | e1 != op(e2,e4)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f305]) ).

fof(f305,plain,
    ( ( e1 != unit
      & e4 = op(e2,e1) )
    | e1 != op(e2,e4)
    | ~ sP13 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f23,plain,
    ( ( e1 != unit
      & e4 = op(e2,e1) )
    | e1 != op(e2,e4)
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f2819,plain,
    ~ spl154_215,
    inference(avatar_split_clause,[],[f970,f1957]) ).

fof(f1957,plain,
    ( spl154_215
  <=> sP135 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_215])]) ).

fof(f970,plain,
    ~ sP135,
    inference(trivial_inequality_removal,[],[f523]) ).

fof(f523,plain,
    ( ~ sP135
    | op(e0,e0) != op(e0,e0) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ( ( e0 != op(op(e0,e0),e0)
      & e0 = op(op(e0,e0),e0)
      & op(e0,e0) != op(e0,e0) )
    | ~ sP135 ),
    inference(nnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ( e0 != op(op(e0,e0),e0)
      & e0 = op(op(e0,e0),e0)
      & op(e0,e0) != op(e0,e0) )
    | ~ sP135 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).

fof(f2805,plain,
    ( spl154_60
    | spl154_197
    | spl154_189
    | spl154_38
    | spl154_187 ),
    inference(avatar_split_clause,[],[f446,f1822,f1139,f1833,f1871,f1234]) ).

fof(f446,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e4,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( e1 = op(e4,e1)
      | e1 = op(e4,e4)
      | e1 = op(e4,e0)
      | e1 = op(e4,e2)
      | e1 = op(e4,e3) )
    & ( e3 = op(e1,e3)
      | e3 = op(e1,e0)
      | e3 = op(e1,e2)
      | e3 = op(e1,e1)
      | e3 = op(e1,e4) )
    & ( op(e0,e0) = e2
      | e2 = op(e2,e0)
      | e2 = op(e3,e0)
      | e2 = op(e4,e0)
      | e2 = op(e1,e0) )
    & ( e4 = op(e2,e4)
      | e4 = op(e2,e0)
      | e4 = op(e2,e3)
      | e4 = op(e2,e1)
      | e4 = op(e2,e2) )
    & ( e4 = op(e0,e3)
      | e4 = op(e4,e3)
      | e4 = op(e3,e3)
      | e4 = op(e2,e3)
      | e4 = op(e1,e3) )
    & ( e1 = op(e4,e4)
      | e1 = op(e3,e4)
      | e1 = op(e2,e4)
      | e1 = op(e1,e4)
      | e1 = op(e0,e4) )
    & ( e4 = op(e2,e0)
      | e4 = op(e1,e0)
      | e4 = op(e3,e0)
      | e4 = op(e4,e0)
      | op(e0,e0) = e4 )
    & ( e2 = op(e1,e3)
      | e2 = op(e1,e2)
      | e2 = op(e1,e4)
      | e2 = op(e1,e0)
      | e2 = op(e1,e1) )
    & ( e4 = op(e4,e3)
      | e4 = op(e4,e2)
      | e4 = op(e4,e1)
      | e4 = op(e4,e4)
      | e4 = op(e4,e0) )
    & ( e3 = op(e3,e3)
      | e3 = op(e2,e3)
      | e3 = op(e1,e3)
      | e3 = op(e0,e3)
      | e3 = op(e4,e3) )
    & ( e2 = op(e3,e2)
      | e2 = op(e2,e2)
      | e2 = op(e1,e2)
      | e2 = op(e4,e2)
      | e2 = op(e0,e2) )
    & ( e2 = op(e1,e1)
      | e2 = op(e2,e1)
      | e2 = op(e3,e1)
      | e2 = op(e0,e1)
      | e2 = op(e4,e1) )
    & ( e3 = op(e2,e4)
      | e3 = op(e4,e4)
      | e3 = op(e0,e4)
      | e3 = op(e1,e4)
      | e3 = op(e3,e4) )
    & ( e4 = op(e3,e2)
      | e4 = op(e3,e1)
      | e4 = op(e3,e4)
      | e4 = op(e3,e0)
      | e4 = op(e3,e3) )
    & ( e4 = op(e1,e2)
      | e4 = op(e1,e1)
      | e4 = op(e1,e0)
      | e4 = op(e1,e3)
      | e4 = op(e1,e4) )
    & ( e0 = op(e0,e0)
      | e0 = op(e0,e4)
      | e0 = op(e0,e1)
      | e0 = op(e0,e2)
      | e0 = op(e0,e3) )
    & ( e1 = op(e3,e2)
      | e1 = op(e2,e2)
      | e1 = op(e0,e2)
      | e1 = op(e1,e2)
      | e1 = op(e4,e2) )
    & ( e0 = op(e4,e1)
      | e0 = op(e4,e0)
      | e0 = op(e4,e2)
      | e0 = op(e4,e4)
      | e0 = op(e4,e3) )
    & ( e2 = op(e3,e4)
      | e2 = op(e3,e3)
      | e2 = op(e3,e2)
      | e2 = op(e3,e0)
      | e2 = op(e3,e1) )
    & ( e1 = op(e4,e0)
      | e1 = op(e2,e0)
      | e1 = op(e1,e0)
      | e1 = op(e3,e0)
      | op(e0,e0) = e1 )
    & ( e4 = op(e4,e4)
      | e4 = op(e0,e4)
      | e4 = op(e1,e4)
      | e4 = op(e2,e4)
      | e4 = op(e3,e4) )
    & ( e2 = op(e4,e3)
      | e2 = op(e3,e3)
      | e2 = op(e1,e3)
      | e2 = op(e0,e3)
      | e2 = op(e2,e3) )
    & ( e3 = op(e3,e1)
      | e3 = op(e0,e1)
      | e3 = op(e1,e1)
      | e3 = op(e4,e1)
      | e3 = op(e2,e1) )
    & ( e3 = op(e1,e2)
      | e3 = op(e4,e2)
      | e3 = op(e2,e2)
      | e3 = op(e3,e2)
      | e3 = op(e0,e2) )
    & ( e1 = op(e3,e3)
      | e1 = op(e1,e3)
      | e1 = op(e4,e3)
      | e1 = op(e0,e3)
      | e1 = op(e2,e3) )
    & ( op(e0,e0) = e3
      | e3 = op(e4,e0)
      | e3 = op(e1,e0)
      | e3 = op(e3,e0)
      | e3 = op(e2,e0) )
    & ( e0 = op(e2,e4)
      | e0 = op(e2,e1)
      | e0 = op(e2,e0)
      | e0 = op(e2,e2)
      | e0 = op(e2,e3) )
    & ( e1 = op(e1,e0)
      | e1 = op(e1,e1)
      | e1 = op(e1,e2)
      | e1 = op(e1,e4)
      | e1 = op(e1,e3) )
    & ( e3 = op(e2,e4)
      | e3 = op(e2,e1)
      | e3 = op(e2,e3)
      | e3 = op(e2,e0)
      | e3 = op(e2,e2) )
    & ( e0 = op(e2,e3)
      | e0 = op(e3,e3)
      | e0 = op(e4,e3)
      | e0 = op(e1,e3)
      | e0 = op(e0,e3) )
    & ( e0 = op(e1,e1)
      | e0 = op(e4,e1)
      | e0 = op(e2,e1)
      | e0 = op(e0,e1)
      | e0 = op(e3,e1) )
    & ( e4 = op(e3,e2)
      | e4 = op(e1,e2)
      | e4 = op(e2,e2)
      | e4 = op(e4,e2)
      | e4 = op(e0,e2) )
    & ( e2 = op(e4,e3)
      | e2 = op(e4,e4)
      | e2 = op(e4,e0)
      | e2 = op(e4,e1)
      | e2 = op(e4,e2) )
    & ( e2 = op(e2,e3)
      | e2 = op(e2,e1)
      | e2 = op(e2,e2)
      | e2 = op(e2,e0)
      | e2 = op(e2,e4) )
    & ( e2 = op(e4,e4)
      | e2 = op(e1,e4)
      | e2 = op(e3,e4)
      | e2 = op(e0,e4)
      | e2 = op(e2,e4) )
    & ( e0 = op(e3,e0)
      | e0 = op(e0,e0)
      | e0 = op(e2,e0)
      | e0 = op(e1,e0)
      | e0 = op(e4,e0) )
    & ( e4 = op(e0,e2)
      | e4 = op(e0,e1)
      | e4 = op(e0,e3)
      | e4 = op(e0,e4)
      | op(e0,e0) = e4 )
    & ( e0 = op(e1,e2)
      | e0 = op(e1,e1)
      | e0 = op(e1,e3)
      | e0 = op(e1,e4)
      | e0 = op(e1,e0) )
    & ( e2 = op(e0,e1)
      | e2 = op(e0,e4)
      | op(e0,e0) = e2
      | e2 = op(e0,e2)
      | e2 = op(e0,e3) )
    & ( e1 = op(e3,e4)
      | e1 = op(e3,e0)
      | e1 = op(e3,e1)
      | e1 = op(e3,e2)
      | e1 = op(e3,e3) )
    & ( e1 = op(e1,e1)
      | e1 = op(e3,e1)
      | e1 = op(e2,e1)
      | e1 = op(e4,e1)
      | e1 = op(e0,e1) )
    & ( e3 = op(e3,e2)
      | e3 = op(e3,e3)
      | e3 = op(e3,e1)
      | e3 = op(e3,e4)
      | e3 = op(e3,e0) )
    & ( e1 = op(e2,e4)
      | e1 = op(e2,e0)
      | e1 = op(e2,e1)
      | e1 = op(e2,e2)
      | e1 = op(e2,e3) )
    & ( e0 = op(e3,e3)
      | e0 = op(e3,e2)
      | e0 = op(e3,e4)
      | e0 = op(e3,e0)
      | e0 = op(e3,e1) )
    & ( e1 = op(e0,e4)
      | e1 = op(e0,e1)
      | e1 = op(e0,e2)
      | op(e0,e0) = e1
      | e1 = op(e0,e3) )
    & ( e4 = op(e1,e1)
      | e4 = op(e3,e1)
      | e4 = op(e4,e1)
      | e4 = op(e2,e1)
      | e4 = op(e0,e1) )
    & ( e3 = op(e0,e4)
      | e3 = op(e0,e3)
      | e3 = op(e0,e2)
      | op(e0,e0) = e3
      | e3 = op(e0,e1) )
    & ( e3 = op(e4,e1)
      | e3 = op(e4,e2)
      | e3 = op(e4,e0)
      | e3 = op(e4,e4)
      | e3 = op(e4,e3) )
    & ( e0 = op(e3,e2)
      | e0 = op(e4,e2)
      | e0 = op(e2,e2)
      | e0 = op(e1,e2)
      | e0 = op(e0,e2) )
    & ( e0 = op(e2,e4)
      | e0 = op(e1,e4)
      | e0 = op(e4,e4)
      | e0 = op(e3,e4)
      | e0 = op(e0,e4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f2800,plain,
    ( ~ spl154_32
    | spl154_230 ),
    inference(avatar_split_clause,[],[f573,f2029,f1112]) ).

fof(f1112,plain,
    ( spl154_32
  <=> sP128 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_32])]) ).

fof(f2029,plain,
    ( spl154_230
  <=> sP82 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_230])]) ).

fof(f573,plain,
    ( sP82
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ( ( sP99
      & sP98
      & sP97
      & sP96
      & sP95
      & sP94
      & sP93
      & sP92
      & sP91
      & sP90
      & sP89
      & sP88
      & sP87
      & sP86
      & sP85
      & sP84
      & sP83
      & sP82
      & sP81
      & sP80
      & sP79
      & sP78
      & sP77
      & sP76
      & sP75 )
    | ~ sP128 ),
    inference(nnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ( sP99
      & sP98
      & sP97
      & sP96
      & sP95
      & sP94
      & sP93
      & sP92
      & sP91
      & sP90
      & sP89
      & sP88
      & sP87
      & sP86
      & sP85
      & sP84
      & sP83
      & sP82
      & sP81
      & sP80
      & sP79
      & sP78
      & sP77
      & sP76
      & sP75 )
    | ~ sP128 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).

fof(f2796,plain,
    ( spl154_42
    | spl154_198
    | spl154_146
    | spl154_122
    | spl154_111 ),
    inference(avatar_split_clause,[],[f932,f1463,f1515,f1628,f1876,f1156]) ).

fof(f932,plain,
    ( e2 = op(e1,e2)
    | e0 = op(e1,e2)
    | e4 = op(e1,e2)
    | e3 = op(e1,e2)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e2 = op(e1,e1)
      | e4 = op(e1,e1)
      | e3 = op(e1,e1)
      | e1 = op(e1,e1)
      | e0 = op(e1,e1) )
    & ( op(e0,e0) = e4
      | e0 = op(e0,e0)
      | op(e0,e0) = e3
      | op(e0,e0) = e1
      | op(e0,e0) = e2 )
    & ( e4 = op(e3,e1)
      | e2 = op(e3,e1)
      | e0 = op(e3,e1)
      | e3 = op(e3,e1)
      | e1 = op(e3,e1) )
    & ( e1 = op(e0,e4)
      | e2 = op(e0,e4)
      | e3 = op(e0,e4)
      | e0 = op(e0,e4)
      | e4 = op(e0,e4) )
    & ( e2 = op(e2,e2)
      | e3 = op(e2,e2)
      | e0 = op(e2,e2)
      | e1 = op(e2,e2)
      | e4 = op(e2,e2) )
    & ( e1 = op(e4,e0)
      | e0 = op(e4,e0)
      | e4 = op(e4,e0)
      | e2 = op(e4,e0)
      | e3 = op(e4,e0) )
    & ( e0 = op(e2,e3)
      | e3 = op(e2,e3)
      | e4 = op(e2,e3)
      | e2 = op(e2,e3)
      | e1 = op(e2,e3) )
    & ( e2 = op(e3,e2)
      | e0 = op(e3,e2)
      | e1 = op(e3,e2)
      | e3 = op(e3,e2)
      | e4 = op(e3,e2) )
    & ( e0 = op(e4,e1)
      | e1 = op(e4,e1)
      | e3 = op(e4,e1)
      | e2 = op(e4,e1)
      | e4 = op(e4,e1) )
    & ( e4 = op(e0,e2)
      | e2 = op(e0,e2)
      | e1 = op(e0,e2)
      | e3 = op(e0,e2)
      | e0 = op(e0,e2) )
    & ( e4 = op(e0,e3)
      | e2 = op(e0,e3)
      | e3 = op(e0,e3)
      | e1 = op(e0,e3)
      | e0 = op(e0,e3) )
    & ( e0 = op(e2,e0)
      | e1 = op(e2,e0)
      | e4 = op(e2,e0)
      | e2 = op(e2,e0)
      | e3 = op(e2,e0) )
    & ( e1 = op(e3,e3)
      | e2 = op(e3,e3)
      | e3 = op(e3,e3)
      | e4 = op(e3,e3)
      | e0 = op(e3,e3) )
    & ( e2 = op(e2,e1)
      | e1 = op(e2,e1)
      | e4 = op(e2,e1)
      | e3 = op(e2,e1)
      | e0 = op(e2,e1) )
    & ( e0 = op(e4,e2)
      | e1 = op(e4,e2)
      | e4 = op(e4,e2)
      | e3 = op(e4,e2)
      | e2 = op(e4,e2) )
    & ( e0 = op(e0,e1)
      | e4 = op(e0,e1)
      | e2 = op(e0,e1)
      | e1 = op(e0,e1)
      | e3 = op(e0,e1) )
    & ( e1 = op(e2,e4)
      | e4 = op(e2,e4)
      | e2 = op(e2,e4)
      | e3 = op(e2,e4)
      | e0 = op(e2,e4) )
    & ( e1 = op(e1,e4)
      | e3 = op(e1,e4)
      | e0 = op(e1,e4)
      | e4 = op(e1,e4)
      | e2 = op(e1,e4) )
    & ( e1 = op(e4,e4)
      | e2 = op(e4,e4)
      | e3 = op(e4,e4)
      | e4 = op(e4,e4)
      | e0 = op(e4,e4) )
    & ( e2 = op(e3,e0)
      | e4 = op(e3,e0)
      | e1 = op(e3,e0)
      | e0 = op(e3,e0)
      | e3 = op(e3,e0) )
    & ( e3 = op(e1,e3)
      | e4 = op(e1,e3)
      | e1 = op(e1,e3)
      | e2 = op(e1,e3)
      | e0 = op(e1,e3) )
    & ( e1 = op(e1,e0)
      | e0 = op(e1,e0)
      | e2 = op(e1,e0)
      | e4 = op(e1,e0)
      | e3 = op(e1,e0) )
    & ( e3 = op(e3,e4)
      | e2 = op(e3,e4)
      | e0 = op(e3,e4)
      | e1 = op(e3,e4)
      | e4 = op(e3,e4) )
    & ( e2 = op(e1,e2)
      | e4 = op(e1,e2)
      | e0 = op(e1,e2)
      | e1 = op(e1,e2)
      | e3 = op(e1,e2) )
    & ( e3 = op(e4,e3)
      | e0 = op(e4,e3)
      | e4 = op(e4,e3)
      | e2 = op(e4,e3)
      | e1 = op(e4,e3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f2764,plain,
    ( ~ spl154_331
    | ~ spl154_50 ),
    inference(avatar_split_clause,[],[f494,f1191,f2761]) ).

fof(f1191,plain,
    ( spl154_50
  <=> sP145 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_50])]) ).

fof(f494,plain,
    ( ~ sP145
    | e3 != op(op(e4,e3),e4) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ( ( e4 = op(op(e4,e3),e3)
      & e3 != op(op(e4,e3),e4)
      & op(e3,e4) != op(e4,e3) )
    | ~ sP145 ),
    inference(nnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ( e4 = op(op(e4,e3),e3)
      & e3 != op(op(e4,e3),e4)
      & op(e3,e4) != op(e4,e3) )
    | ~ sP145 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP145])]) ).

fof(f2758,plain,
    ( ~ spl154_120
    | ~ spl154_330 ),
    inference(avatar_split_clause,[],[f480,f2755,f1505]) ).

fof(f1505,plain,
    ( spl154_120
  <=> sP150 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_120])]) ).

fof(f480,plain,
    ( e1 != op(op(e0,e1),e0)
    | ~ sP150 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ( ( e1 != op(op(e0,e1),e0)
      & e0 = op(op(e0,e1),e1)
      & op(e0,e1) != op(e1,e0) )
    | ~ sP150 ),
    inference(nnf_transformation,[],[f160]) ).

fof(f160,plain,
    ( ( e1 != op(op(e0,e1),e0)
      & e0 = op(op(e0,e1),e1)
      & op(e0,e1) != op(e1,e0) )
    | ~ sP150 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP150])]) ).

fof(f2752,plain,
    ( spl154_35
    | spl154_124
    | spl154_24
    | spl154_18
    | spl154_268 ),
    inference(avatar_split_clause,[],[f425,f2245,f1050,f1076,f1524,f1126]) ).

fof(f425,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e3,e1)
    | e0 = op(e3,e2)
    | e0 = op(e3,e3)
    | e0 = op(e3,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2749,plain,
    ( ~ spl154_95
    | ~ spl154_285 ),
    inference(avatar_split_clause,[],[f513,f2343,f1391]) ).

fof(f1391,plain,
    ( spl154_95
  <=> sP139 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_95])]) ).

fof(f513,plain,
    ( op(e0,e3) != op(e3,e0)
    | ~ sP139 ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ( ( op(e0,e3) != op(e3,e0)
      & e3 != op(op(e0,e3),e0)
      & e0 = op(op(e0,e3),e3) )
    | ~ sP139 ),
    inference(nnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( ( op(e0,e3) != op(e3,e0)
      & e3 != op(op(e0,e3),e0)
      & e0 = op(op(e0,e3),e3) )
    | ~ sP139 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).

fof(f2747,plain,
    ( ~ spl154_288
    | ~ spl154_179
    | spl154_142 ),
    inference(avatar_split_clause,[],[f686,f1610,f1786,f2359]) ).

fof(f2359,plain,
    ( spl154_288
  <=> sP114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_288])]) ).

fof(f1786,plain,
    ( spl154_179
  <=> e2 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_179])]) ).

fof(f686,plain,
    ( e4 = op(e4,e2)
    | e2 != op(e4,e4)
    | ~ sP114 ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ( ( e2 != unit
      & e4 = op(e4,e2) )
    | e2 != op(e4,e4)
    | ~ sP114 ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ( ( e2 != unit
      & e4 = op(e4,e2) )
    | e2 != op(e4,e4)
    | ~ sP114 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).

fof(f2727,plain,
    ( ~ spl154_230
    | ~ spl154_35
    | spl154_36 ),
    inference(avatar_split_clause,[],[f751,f1130,f1126,f2029]) ).

fof(f751,plain,
    ( e4 = op(e3,e0)
    | e0 != op(e3,e4)
    | ~ sP82 ),
    inference(cnf_transformation,[],[f236]) ).

fof(f236,plain,
    ( ( e4 = op(e3,e0)
      & e0 != unit )
    | e0 != op(e3,e4)
    | ~ sP82 ),
    inference(nnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ( e4 = op(e3,e0)
      & e0 != unit )
    | e0 != op(e3,e4)
    | ~ sP82 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).

fof(f2725,plain,
    ( spl154_54
    | ~ spl154_39
    | ~ spl154_231 ),
    inference(avatar_split_clause,[],[f844,f2035,f1143,f1208]) ).

fof(f2035,plain,
    ( spl154_231
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_231])]) ).

fof(f844,plain,
    ( ~ sP35
    | e3 != op(e2,e2)
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f283]) ).

fof(f283,plain,
    ( ( e3 != unit
      & e2 = op(e2,e3) )
    | e3 != op(e2,e2)
    | ~ sP35 ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( ( e3 != unit
      & e2 = op(e2,e3) )
    | e3 != op(e2,e2)
    | ~ sP35 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).

fof(f2717,plain,
    ( spl154_244
    | ~ spl154_181
    | ~ spl154_63 ),
    inference(avatar_split_clause,[],[f666,f1248,f1794,f2107]) ).

fof(f1248,plain,
    ( spl154_63
  <=> sP124 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_63])]) ).

fof(f666,plain,
    ( ~ sP124
    | e2 != op(e4,e1)
    | e1 = op(e4,e2) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ( ( e2 != unit
      & e1 = op(e4,e2) )
    | e2 != op(e4,e1)
    | ~ sP124 ),
    inference(nnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ( e2 != unit
      & e1 = op(e4,e2) )
    | e2 != op(e4,e1)
    | ~ sP124 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).

fof(f2716,plain,
    ~ spl154_1,
    inference(avatar_split_clause,[],[f971,f976]) ).

fof(f976,plain,
    ( spl154_1
  <=> sP131 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_1])]) ).

fof(f971,plain,
    ~ sP131,
    inference(trivial_inequality_removal,[],[f537]) ).

fof(f537,plain,
    ( ~ sP131
    | op(e3,e3) != op(e3,e3) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ( ( op(e3,e3) != op(e3,e3)
      & e3 != op(op(e3,e3),e3)
      & e3 = op(op(e3,e3),e3) )
    | ~ sP131 ),
    inference(nnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ( op(e3,e3) != op(e3,e3)
      & e3 != op(op(e3,e3),e3)
      & e3 = op(op(e3,e3),e3) )
    | ~ sP131 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).

fof(f2712,plain,
    ( spl154_59
    | ~ spl154_68 ),
    inference(avatar_split_clause,[],[f646,f1271,f1230]) ).

fof(f1230,plain,
    ( spl154_59
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_59])]) ).

fof(f1271,plain,
    ( spl154_68
  <=> sP125 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_68])]) ).

fof(f646,plain,
    ( ~ sP125
    | sP5 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ( ( sP24
      & sP23
      & sP22
      & sP21
      & sP20
      & sP19
      & sP18
      & sP17
      & sP16
      & sP15
      & sP14
      & sP13
      & sP12
      & sP11
      & sP10
      & sP9
      & sP8
      & sP7
      & sP6
      & sP5
      & sP4
      & sP3
      & sP2
      & sP1
      & sP0 )
    | ~ sP125 ),
    inference(nnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( sP24
      & sP23
      & sP22
      & sP21
      & sP20
      & sP19
      & sP18
      & sP17
      & sP16
      & sP15
      & sP14
      & sP13
      & sP12
      & sP11
      & sP10
      & sP9
      & sP8
      & sP7
      & sP6
      & sP5
      & sP4
      & sP3
      & sP2
      & sP1
      & sP0 )
    | ~ sP125 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).

fof(f2696,plain,
    ( spl154_70
    | spl154_55
    | spl154_186
    | spl154_81
    | spl154_190 ),
    inference(avatar_split_clause,[],[f444,f1837,f1328,f1818,f1213,f1280]) ).

fof(f1280,plain,
    ( spl154_70
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_70])]) ).

fof(f1213,plain,
    ( spl154_55
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_55])]) ).

fof(f1328,plain,
    ( spl154_81
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_81])]) ).

fof(f444,plain,
    ( e1 = op(e4,e3)
    | e1 = op(e1,e3)
    | e1 = op(e3,e3)
    | e1 = op(e0,e3)
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2690,plain,
    ( spl154_12
    | spl154_68
    | spl154_32
    | spl154_17
    | spl154_61 ),
    inference(avatar_split_clause,[],[f916,f1239,f1045,f1112,f1271,f1023]) ).

fof(f1023,plain,
    ( spl154_12
  <=> sP129 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_12])]) ).

fof(f1045,plain,
    ( spl154_17
  <=> sP127 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_17])]) ).

fof(f1239,plain,
    ( spl154_61
  <=> sP126 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_61])]) ).

fof(f916,plain,
    ( sP126
    | sP127
    | sP128
    | sP125
    | sP129 ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ( ( ( op(e1,e4) != op(e4,e1)
        & e1 != op(op(e4,e1),e4)
        & e4 = op(op(e4,e1),e1) )
      | sP153
      | sP152
      | sP151
      | sP150
      | sP149
      | sP148
      | sP147
      | sP146
      | sP145
      | sP144
      | sP143
      | sP142
      | sP141
      | sP140
      | sP139
      | sP138
      | sP137
      | sP136
      | sP135
      | sP134
      | sP133
      | sP132
      | sP131
      | sP130 )
    & ( sP129
      | sP128
      | sP127
      | sP126
      | sP125 ) ),
    inference(definition_folding,[],[f9,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    ( ( e1 != unit
      & e3 = op(e2,e1) )
    | e1 != op(e2,e3)
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f11,plain,
    ( ( e1 = op(e4,e1)
      & e1 != unit )
    | e1 != op(e4,e1)
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f12,plain,
    ( ( e1 != unit
      & e1 = op(e2,e1) )
    | e1 != op(e2,e1)
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f13,plain,
    ( e1 != op(e2,e2)
    | ( e2 = op(e2,e1)
      & e1 != unit )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f14,plain,
    ( e1 != op(e3,e4)
    | ( e1 != unit
      & e4 = op(e3,e1) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f15,plain,
    ( e1 != op(e0,e3)
    | ( e1 != unit
      & e3 = op(e0,e1) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f16,plain,
    ( ( e1 != unit
      & e0 = op(e1,e1) )
    | e1 != op(e1,e0)
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f17,plain,
    ( ( e0 = op(e3,e1)
      & e1 != unit )
    | e1 != op(e3,e0)
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f18,plain,
    ( ( e1 != unit
      & e0 = op(e0,e1) )
    | op(e0,e0) != e1
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f19,plain,
    ( e1 != op(e1,e3)
    | ( e1 != unit
      & e3 = op(e1,e1) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f20,plain,
    ( e1 != op(e0,e1)
    | ( e1 != unit
      & e1 = op(e0,e1) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f21,plain,
    ( e1 != op(e0,e4)
    | ( e4 = op(e0,e1)
      & e1 != unit )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f22,plain,
    ( ( e1 != unit
      & e4 = op(e1,e1) )
    | e1 != op(e1,e4)
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f24,plain,
    ( e1 != op(e3,e1)
    | ( e1 = op(e3,e1)
      & e1 != unit )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f25,plain,
    ( ( e3 = op(e4,e1)
      & e1 != unit )
    | e1 != op(e4,e3)
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f26,plain,
    ( e1 != op(e0,e2)
    | ( e2 = op(e0,e1)
      & e1 != unit )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f27,plain,
    ( ( e1 != unit
      & e2 = op(e3,e1) )
    | e1 != op(e3,e2)
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f28,plain,
    ( e1 != op(e3,e3)
    | ( e1 != unit
      & e3 = op(e3,e1) )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f29,plain,
    ( ( e0 = op(e4,e1)
      & e1 != unit )
    | e1 != op(e4,e0)
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f30,plain,
    ( e1 != op(e1,e2)
    | ( e2 = op(e1,e1)
      & e1 != unit )
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f31,plain,
    ( e1 != op(e1,e1)
    | ( e1 = op(e1,e1)
      & e1 != unit )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f32,plain,
    ( e1 != op(e4,e2)
    | ( e2 = op(e4,e1)
      & e1 != unit )
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f33,plain,
    ( ( e1 != unit
      & e4 = op(e4,e1) )
    | e1 != op(e4,e4)
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f34,plain,
    ( ( e0 = op(e2,e1)
      & e1 != unit )
    | e1 != op(e2,e0)
    | ~ sP24 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

fof(f35,plain,
    ( ( e0 = op(e2,e3)
      & e3 != unit )
    | e3 != op(e2,e0)
    | ~ sP25 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f36,plain,
    ( ( e3 != unit
      & e1 = op(e2,e3) )
    | e3 != op(e2,e1)
    | ~ sP26 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f37,plain,
    ( ( e3 = op(e2,e3)
      & e3 != unit )
    | e3 != op(e2,e3)
    | ~ sP27 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

fof(f38,plain,
    ( ( e4 = op(e0,e3)
      & e3 != unit )
    | e3 != op(e0,e4)
    | ~ sP28 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).

fof(f39,plain,
    ( ( e2 = op(e0,e3)
      & e3 != unit )
    | e3 != op(e0,e2)
    | ~ sP29 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).

fof(f40,plain,
    ( ( e3 = op(e0,e3)
      & e3 != unit )
    | e3 != op(e0,e3)
    | ~ sP30 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f41,plain,
    ( ( e2 = op(e1,e3)
      & e3 != unit )
    | e3 != op(e1,e2)
    | ~ sP31 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

fof(f42,plain,
    ( ( e3 = op(e4,e3)
      & e3 != unit )
    | e3 != op(e4,e3)
    | ~ sP32 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).

fof(f43,plain,
    ( e3 != op(e3,e3)
    | ( e3 = op(e3,e3)
      & e3 != unit )
    | ~ sP33 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f44,plain,
    ( e3 != op(e3,e1)
    | ( e1 = op(e3,e3)
      & e3 != unit )
    | ~ sP34 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).

fof(f46,plain,
    ( ( e3 != unit
      & e0 = op(e3,e3) )
    | e3 != op(e3,e0)
    | ~ sP36 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f47,plain,
    ( e3 != op(e4,e2)
    | ( e3 != unit
      & e2 = op(e4,e3) )
    | ~ sP37 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

fof(f48,plain,
    ( ( e0 = op(e0,e3)
      & e3 != unit )
    | op(e0,e0) != e3
    | ~ sP38 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f49,plain,
    ( ( e3 != unit
      & e4 = op(e4,e3) )
    | e3 != op(e4,e4)
    | ~ sP39 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

fof(f50,plain,
    ( ( e4 = op(e1,e3)
      & e3 != unit )
    | e3 != op(e1,e4)
    | ~ sP40 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f51,plain,
    ( e3 != op(e1,e1)
    | ( e1 = op(e1,e3)
      & e3 != unit )
    | ~ sP41 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).

fof(f52,plain,
    ( ( e3 != unit
      & e4 = op(e3,e3) )
    | e3 != op(e3,e4)
    | ~ sP42 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).

fof(f53,plain,
    ( ( e3 != unit
      & e0 = op(e4,e3) )
    | e3 != op(e4,e0)
    | ~ sP43 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).

fof(f54,plain,
    ( ( e3 != unit
      & e1 = op(e4,e3) )
    | e3 != op(e4,e1)
    | ~ sP44 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).

fof(f55,plain,
    ( ( e3 != unit
      & e3 = op(e1,e3) )
    | e3 != op(e1,e3)
    | ~ sP45 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).

fof(f56,plain,
    ( e3 != op(e2,e4)
    | ( e4 = op(e2,e3)
      & e3 != unit )
    | ~ sP46 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).

fof(f57,plain,
    ( e3 != op(e3,e2)
    | ( e3 != unit
      & e2 = op(e3,e3) )
    | ~ sP47 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).

fof(f58,plain,
    ( ( e1 = op(e0,e3)
      & e3 != unit )
    | e3 != op(e0,e1)
    | ~ sP48 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).

fof(f59,plain,
    ( ( e0 = op(e1,e3)
      & e3 != unit )
    | e3 != op(e1,e0)
    | ~ sP49 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).

fof(f60,plain,
    ( ( e4 != unit
      & e2 = op(e2,e4) )
    | e4 != op(e2,e2)
    | ~ sP50 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).

fof(f61,plain,
    ( ( e4 != unit
      & e3 = op(e2,e4) )
    | e4 != op(e2,e3)
    | ~ sP51 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).

fof(f62,plain,
    ( e4 != op(e3,e3)
    | ( e4 != unit
      & e3 = op(e3,e4) )
    | ~ sP52 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).

fof(f63,plain,
    ( e4 != op(e3,e2)
    | ( e2 = op(e3,e4)
      & e4 != unit )
    | ~ sP53 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).

fof(f64,plain,
    ( ( e2 = op(e0,e4)
      & e4 != unit )
    | e4 != op(e0,e2)
    | ~ sP54 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).

fof(f65,plain,
    ( ( e4 != unit
      & e1 = op(e1,e4) )
    | e4 != op(e1,e1)
    | ~ sP55 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).

fof(f66,plain,
    ( ( e0 = op(e2,e4)
      & e4 != unit )
    | e4 != op(e2,e0)
    | ~ sP56 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).

fof(f67,plain,
    ( e4 != op(e1,e4)
    | ( e4 != unit
      & e4 = op(e1,e4) )
    | ~ sP57 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).

fof(f68,plain,
    ( ( e4 = op(e2,e4)
      & e4 != unit )
    | e4 != op(e2,e4)
    | ~ sP58 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).

fof(f69,plain,
    ( ( e4 != unit
      & e0 = op(e1,e4) )
    | e4 != op(e1,e0)
    | ~ sP59 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).

fof(f70,plain,
    ( e4 != op(e1,e3)
    | ( e3 = op(e1,e4)
      & e4 != unit )
    | ~ sP60 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).

fof(f71,plain,
    ( ( e4 != unit
      & e1 = op(e2,e4) )
    | e4 != op(e2,e1)
    | ~ sP61 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).

fof(f72,plain,
    ( ( e4 != unit
      & e1 = op(e3,e4) )
    | e4 != op(e3,e1)
    | ~ sP62 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).

fof(f73,plain,
    ( e4 != op(e3,e4)
    | ( e4 != unit
      & e4 = op(e3,e4) )
    | ~ sP63 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).

fof(f74,plain,
    ( e4 != op(e1,e2)
    | ( e4 != unit
      & e2 = op(e1,e4) )
    | ~ sP64 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).

fof(f75,plain,
    ( e4 != op(e0,e4)
    | ( e4 != unit
      & e4 = op(e0,e4) )
    | ~ sP65 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).

fof(f76,plain,
    ( ( e4 != unit
      & e1 = op(e0,e4) )
    | e4 != op(e0,e1)
    | ~ sP66 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).

fof(f77,plain,
    ( e4 != op(e4,e2)
    | ( e2 = op(e4,e4)
      & e4 != unit )
    | ~ sP67 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).

fof(f78,plain,
    ( ( e4 = op(e4,e4)
      & e4 != unit )
    | e4 != op(e4,e4)
    | ~ sP68 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).

fof(f79,plain,
    ( e4 != op(e4,e3)
    | ( e4 != unit
      & e3 = op(e4,e4) )
    | ~ sP69 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).

fof(f80,plain,
    ( ( e0 = op(e3,e4)
      & e4 != unit )
    | e4 != op(e3,e0)
    | ~ sP70 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).

fof(f81,plain,
    ( ( e0 = op(e0,e4)
      & e4 != unit )
    | op(e0,e0) != e4
    | ~ sP71 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).

fof(f82,plain,
    ( ( e3 = op(e0,e4)
      & e4 != unit )
    | e4 != op(e0,e3)
    | ~ sP72 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).

fof(f83,plain,
    ( e4 != op(e4,e0)
    | ( e4 != unit
      & e0 = op(e4,e4) )
    | ~ sP73 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).

fof(f84,plain,
    ( e4 != op(e4,e1)
    | ( e4 != unit
      & e1 = op(e4,e4) )
    | ~ sP74 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).

fof(f85,plain,
    ( e0 != op(e2,e4)
    | ( e0 != unit
      & e4 = op(e2,e0) )
    | ~ sP75 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).

fof(f86,plain,
    ( e0 != op(e1,e3)
    | ( e3 = op(e1,e0)
      & e0 != unit )
    | ~ sP76 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).

fof(f87,plain,
    ( e0 != op(e2,e0)
    | ( e0 = op(e2,e0)
      & e0 != unit )
    | ~ sP77 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).

fof(f88,plain,
    ( e0 != op(e2,e1)
    | ( e1 = op(e2,e0)
      & e0 != unit )
    | ~ sP78 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).

fof(f89,plain,
    ( e0 != op(e4,e0)
    | ( e0 != unit
      & e0 = op(e4,e0) )
    | ~ sP79 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).

fof(f90,plain,
    ( e0 != op(e1,e0)
    | ( e0 = op(e1,e0)
      & e0 != unit )
    | ~ sP80 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).

fof(f91,plain,
    ( e0 != op(e4,e2)
    | ( e0 != unit
      & e2 = op(e4,e0) )
    | ~ sP81 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).

fof(f93,plain,
    ( ( e0 != unit
      & e1 = op(e4,e0) )
    | e0 != op(e4,e1)
    | ~ sP83 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).

fof(f94,plain,
    ( e0 != op(e2,e3)
    | ( e0 != unit
      & e3 = op(e2,e0) )
    | ~ sP84 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).

fof(f95,plain,
    ( ( e1 = op(e1,e0)
      & e0 != unit )
    | e0 != op(e1,e1)
    | ~ sP85 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).

fof(f96,plain,
    ( e0 != op(e0,e4)
    | ( e0 != unit
      & op(e0,e0) = e4 )
    | ~ sP86 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).

fof(f97,plain,
    ( e0 != op(e3,e3)
    | ( e3 = op(e3,e0)
      & e0 != unit )
    | ~ sP87 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).

fof(f98,plain,
    ( e0 != op(e0,e1)
    | ( op(e0,e0) = e1
      & e0 != unit )
    | ~ sP88 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).

fof(f99,plain,
    ( ( e0 != unit
      & op(e0,e0) = e2 )
    | e0 != op(e0,e2)
    | ~ sP89 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).

fof(f100,plain,
    ( e0 != op(e4,e4)
    | ( e0 != unit
      & e4 = op(e4,e0) )
    | ~ sP90 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).

fof(f101,plain,
    ( ( e4 = op(e1,e0)
      & e0 != unit )
    | e0 != op(e1,e4)
    | ~ sP91 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).

fof(f102,plain,
    ( ( e0 = op(e0,e0)
      & e0 != unit )
    | e0 != op(e0,e0)
    | ~ sP92 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).

fof(f103,plain,
    ( ( e0 != unit
      & e0 = op(e3,e0) )
    | e0 != op(e3,e0)
    | ~ sP93 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).

fof(f104,plain,
    ( ( e2 = op(e2,e0)
      & e0 != unit )
    | e0 != op(e2,e2)
    | ~ sP94 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).

fof(f105,plain,
    ( ( e0 != unit
      & e1 = op(e3,e0) )
    | e0 != op(e3,e1)
    | ~ sP95 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).

fof(f106,plain,
    ( e0 != op(e4,e3)
    | ( e0 != unit
      & e3 = op(e4,e0) )
    | ~ sP96 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).

fof(f107,plain,
    ( ( e2 = op(e1,e0)
      & e0 != unit )
    | e0 != op(e1,e2)
    | ~ sP97 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).

fof(f108,plain,
    ( e0 != op(e3,e2)
    | ( e0 != unit
      & e2 = op(e3,e0) )
    | ~ sP98 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).

fof(f109,plain,
    ( ( op(e0,e0) = e3
      & e0 != unit )
    | e0 != op(e0,e3)
    | ~ sP99 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).

fof(f110,plain,
    ( ( e2 != unit
      & e0 = op(e1,e2) )
    | e2 != op(e1,e0)
    | ~ sP100 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).

fof(f111,plain,
    ( e2 != op(e0,e1)
    | ( e1 = op(e0,e2)
      & e2 != unit )
    | ~ sP101 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).

fof(f112,plain,
    ( ( e3 = op(e4,e2)
      & e2 != unit )
    | e2 != op(e4,e3)
    | ~ sP102 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).

fof(f113,plain,
    ( ( e1 = op(e3,e2)
      & e2 != unit )
    | e2 != op(e3,e1)
    | ~ sP103 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).

fof(f114,plain,
    ( e2 != op(e2,e4)
    | ( e4 = op(e2,e2)
      & e2 != unit )
    | ~ sP104 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).

fof(f115,plain,
    ( e2 != op(e2,e0)
    | ( e2 != unit
      & e0 = op(e2,e2) )
    | ~ sP105 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).

fof(f116,plain,
    ( ( e3 = op(e2,e2)
      & e2 != unit )
    | e2 != op(e2,e3)
    | ~ sP106 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).

fof(f117,plain,
    ( ( e4 = op(e0,e2)
      & e2 != unit )
    | e2 != op(e0,e4)
    | ~ sP107 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).

fof(f118,plain,
    ( ( e2 != unit
      & e0 = op(e4,e2) )
    | e2 != op(e4,e0)
    | ~ sP108 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).

fof(f119,plain,
    ( e2 != op(e3,e3)
    | ( e3 = op(e3,e2)
      & e2 != unit )
    | ~ sP109 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).

fof(f120,plain,
    ( ( e2 != unit
      & e4 = op(e3,e2) )
    | e2 != op(e3,e4)
    | ~ sP110 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).

fof(f121,plain,
    ( op(e0,e0) != e2
    | ( e2 != unit
      & e0 = op(e0,e2) )
    | ~ sP111 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).

fof(f122,plain,
    ( e2 != op(e1,e4)
    | ( e4 = op(e1,e2)
      & e2 != unit )
    | ~ sP112 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).

fof(f123,plain,
    ( ( e1 = op(e2,e2)
      & e2 != unit )
    | e2 != op(e2,e1)
    | ~ sP113 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).

fof(f125,plain,
    ( ( e2 != unit
      & e2 = op(e1,e2) )
    | e2 != op(e1,e2)
    | ~ sP115 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).

fof(f126,plain,
    ( ( e2 = op(e4,e2)
      & e2 != unit )
    | e2 != op(e4,e2)
    | ~ sP116 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).

fof(f127,plain,
    ( ( e2 != unit
      & e2 = op(e2,e2) )
    | e2 != op(e2,e2)
    | ~ sP117 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).

fof(f128,plain,
    ( ( e3 = op(e0,e2)
      & e2 != unit )
    | e2 != op(e0,e3)
    | ~ sP118 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).

fof(f129,plain,
    ( ( e2 != unit
      & e2 = op(e3,e2) )
    | e2 != op(e3,e2)
    | ~ sP119 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).

fof(f130,plain,
    ( ( e2 != unit
      & e0 = op(e3,e2) )
    | e2 != op(e3,e0)
    | ~ sP120 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).

fof(f131,plain,
    ( e2 != op(e1,e1)
    | ( e1 = op(e1,e2)
      & e2 != unit )
    | ~ sP121 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).

fof(f132,plain,
    ( e2 != op(e1,e3)
    | ( e2 != unit
      & e3 = op(e1,e2) )
    | ~ sP122 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).

fof(f133,plain,
    ( ( e2 = op(e0,e2)
      & e2 != unit )
    | e2 != op(e0,e2)
    | ~ sP123 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).

fof(f136,plain,
    ( ( sP49
      & sP48
      & sP47
      & sP46
      & sP45
      & sP44
      & sP43
      & sP42
      & sP41
      & sP40
      & sP39
      & sP38
      & sP37
      & sP36
      & sP35
      & sP34
      & sP33
      & sP32
      & sP31
      & sP30
      & sP29
      & sP28
      & sP27
      & sP26
      & sP25 )
    | ~ sP126 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).

fof(f137,plain,
    ( ( sP74
      & sP73
      & sP72
      & sP71
      & sP70
      & sP69
      & sP68
      & sP67
      & sP66
      & sP65
      & sP64
      & sP63
      & sP62
      & sP61
      & sP60
      & sP59
      & sP58
      & sP57
      & sP56
      & sP55
      & sP54
      & sP53
      & sP52
      & sP51
      & sP50 )
    | ~ sP127 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).

fof(f139,plain,
    ( ( sP124
      & sP123
      & sP122
      & sP121
      & sP120
      & sP119
      & sP118
      & sP117
      & sP116
      & sP115
      & sP114
      & sP113
      & sP112
      & sP111
      & sP110
      & sP109
      & sP108
      & sP107
      & sP106
      & sP105
      & sP104
      & sP103
      & sP102
      & sP101
      & sP100 )
    | ~ sP129 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).

fof(f140,plain,
    ( ( op(e1,e3) != op(e3,e1)
      & e3 != op(op(e1,e3),e1)
      & e1 = op(op(e1,e3),e3) )
    | ~ sP130 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).

fof(f142,plain,
    ( ( e4 != op(op(e1,e4),e1)
      & e1 = op(op(e1,e4),e4)
      & op(e1,e4) != op(e4,e1) )
    | ~ sP132 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).

fof(f143,plain,
    ( ( e1 = op(op(e1,e0),e0)
      & op(e0,e1) != op(e1,e0)
      & e0 != op(op(e1,e0),e1) )
    | ~ sP133 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).

fof(f144,plain,
    ( ( e4 != op(op(e2,e4),e2)
      & op(e2,e4) != op(e4,e2)
      & e2 = op(op(e2,e4),e4) )
    | ~ sP134 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).

fof(f146,plain,
    ( ( e2 != op(op(e0,e2),e0)
      & e0 = op(op(e0,e2),e2)
      & op(e0,e2) != op(e2,e0) )
    | ~ sP136 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).

fof(f147,plain,
    ( ( op(e4,e4) != op(e4,e4)
      & e4 != op(op(e4,e4),e4)
      & e4 = op(op(e4,e4),e4) )
    | ~ sP137 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).

fof(f148,plain,
    ( ( e2 = op(op(e2,e2),e2)
      & op(e2,e2) != op(e2,e2)
      & e2 != op(op(e2,e2),e2) )
    | ~ sP138 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).

fof(f150,plain,
    ( ( e2 != op(op(e3,e2),e3)
      & op(e2,e3) != op(e3,e2)
      & e3 = op(op(e3,e2),e2) )
    | ~ sP140 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).

fof(f151,plain,
    ( ( e1 = op(op(e1,e1),e1)
      & e1 != op(op(e1,e1),e1)
      & op(e1,e1) != op(e1,e1) )
    | ~ sP141 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).

fof(f152,plain,
    ( ( e3 = op(op(e3,e0),e0)
      & op(e0,e3) != op(e3,e0)
      & e0 != op(op(e3,e0),e3) )
    | ~ sP142 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).

fof(f153,plain,
    ( ( e3 = op(op(e3,e1),e1)
      & op(e1,e3) != op(e3,e1)
      & e1 != op(op(e3,e1),e3) )
    | ~ sP143 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).

fof(f154,plain,
    ( ( op(e3,e4) != op(e4,e3)
      & e3 = op(op(e3,e4),e4)
      & e4 != op(op(e3,e4),e3) )
    | ~ sP144 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP144])]) ).

fof(f156,plain,
    ( ( e2 = op(op(e2,e1),e1)
      & e1 != op(op(e2,e1),e2)
      & op(e1,e2) != op(e2,e1) )
    | ~ sP146 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP146])]) ).

fof(f157,plain,
    ( ( e3 != op(op(e2,e3),e2)
      & e2 = op(op(e2,e3),e3)
      & op(e2,e3) != op(e3,e2) )
    | ~ sP147 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP147])]) ).

fof(f158,plain,
    ( ( e1 = op(op(e1,e2),e2)
      & op(e1,e2) != op(e2,e1)
      & e2 != op(op(e1,e2),e1) )
    | ~ sP148 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP148])]) ).

fof(f159,plain,
    ( ( e4 != op(op(e0,e4),e0)
      & op(e0,e4) != op(e4,e0)
      & e0 = op(op(e0,e4),e4) )
    | ~ sP149 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP149])]) ).

fof(f161,plain,
    ( ( e4 = op(op(e4,e2),e2)
      & op(e2,e4) != op(e4,e2)
      & e2 != op(op(e4,e2),e4) )
    | ~ sP151 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP151])]) ).

fof(f162,plain,
    ( ( op(e0,e2) != op(e2,e0)
      & e2 = op(op(e2,e0),e0)
      & e0 != op(op(e2,e0),e2) )
    | ~ sP152 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP152])]) ).

fof(f163,plain,
    ( ( op(e0,e4) != op(e4,e0)
      & e4 = op(op(e4,e0),e0)
      & e0 != op(op(e4,e0),e4) )
    | ~ sP153 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP153])]) ).

fof(f9,plain,
    ( ( ( op(e1,e4) != op(e4,e1)
        & e1 != op(op(e4,e1),e4)
        & e4 = op(op(e4,e1),e1) )
      | ( op(e0,e4) != op(e4,e0)
        & e4 = op(op(e4,e0),e0)
        & e0 != op(op(e4,e0),e4) )
      | ( op(e0,e2) != op(e2,e0)
        & e2 = op(op(e2,e0),e0)
        & e0 != op(op(e2,e0),e2) )
      | ( e4 = op(op(e4,e2),e2)
        & op(e2,e4) != op(e4,e2)
        & e2 != op(op(e4,e2),e4) )
      | ( e1 != op(op(e0,e1),e0)
        & e0 = op(op(e0,e1),e1)
        & op(e0,e1) != op(e1,e0) )
      | ( e4 != op(op(e0,e4),e0)
        & op(e0,e4) != op(e4,e0)
        & e0 = op(op(e0,e4),e4) )
      | ( e1 = op(op(e1,e2),e2)
        & op(e1,e2) != op(e2,e1)
        & e2 != op(op(e1,e2),e1) )
      | ( e3 != op(op(e2,e3),e2)
        & e2 = op(op(e2,e3),e3)
        & op(e2,e3) != op(e3,e2) )
      | ( e2 = op(op(e2,e1),e1)
        & e1 != op(op(e2,e1),e2)
        & op(e1,e2) != op(e2,e1) )
      | ( e4 = op(op(e4,e3),e3)
        & e3 != op(op(e4,e3),e4)
        & op(e3,e4) != op(e4,e3) )
      | ( op(e3,e4) != op(e4,e3)
        & e3 = op(op(e3,e4),e4)
        & e4 != op(op(e3,e4),e3) )
      | ( e3 = op(op(e3,e1),e1)
        & op(e1,e3) != op(e3,e1)
        & e1 != op(op(e3,e1),e3) )
      | ( e3 = op(op(e3,e0),e0)
        & op(e0,e3) != op(e3,e0)
        & e0 != op(op(e3,e0),e3) )
      | ( e1 = op(op(e1,e1),e1)
        & e1 != op(op(e1,e1),e1)
        & op(e1,e1) != op(e1,e1) )
      | ( e2 != op(op(e3,e2),e3)
        & op(e2,e3) != op(e3,e2)
        & e3 = op(op(e3,e2),e2) )
      | ( op(e0,e3) != op(e3,e0)
        & e3 != op(op(e0,e3),e0)
        & e0 = op(op(e0,e3),e3) )
      | ( e2 = op(op(e2,e2),e2)
        & op(e2,e2) != op(e2,e2)
        & e2 != op(op(e2,e2),e2) )
      | ( op(e4,e4) != op(e4,e4)
        & e4 != op(op(e4,e4),e4)
        & e4 = op(op(e4,e4),e4) )
      | ( e2 != op(op(e0,e2),e0)
        & e0 = op(op(e0,e2),e2)
        & op(e0,e2) != op(e2,e0) )
      | ( e0 != op(op(e0,e0),e0)
        & e0 = op(op(e0,e0),e0)
        & op(e0,e0) != op(e0,e0) )
      | ( e4 != op(op(e2,e4),e2)
        & op(e2,e4) != op(e4,e2)
        & e2 = op(op(e2,e4),e4) )
      | ( e1 = op(op(e1,e0),e0)
        & op(e0,e1) != op(e1,e0)
        & e0 != op(op(e1,e0),e1) )
      | ( e4 != op(op(e1,e4),e1)
        & e1 = op(op(e1,e4),e4)
        & op(e1,e4) != op(e4,e1) )
      | ( op(e3,e3) != op(e3,e3)
        & e3 != op(op(e3,e3),e3)
        & e3 = op(op(e3,e3),e3) )
      | ( op(e1,e3) != op(e3,e1)
        & e3 != op(op(e1,e3),e1)
        & e1 = op(op(e1,e3),e3) ) )
    & ( ( ( ( e2 != unit
            & e1 = op(e4,e2) )
          | e2 != op(e4,e1) )
        & ( ( e2 = op(e0,e2)
            & e2 != unit )
          | e2 != op(e0,e2) )
        & ( e2 != op(e1,e3)
          | ( e2 != unit
            & e3 = op(e1,e2) ) )
        & ( e2 != op(e1,e1)
          | ( e1 = op(e1,e2)
            & e2 != unit ) )
        & ( ( e2 != unit
            & e0 = op(e3,e2) )
          | e2 != op(e3,e0) )
        & ( ( e2 != unit
            & e2 = op(e3,e2) )
          | e2 != op(e3,e2) )
        & ( ( e3 = op(e0,e2)
            & e2 != unit )
          | e2 != op(e0,e3) )
        & ( ( e2 != unit
            & e2 = op(e2,e2) )
          | e2 != op(e2,e2) )
        & ( ( e2 = op(e4,e2)
            & e2 != unit )
          | e2 != op(e4,e2) )
        & ( ( e2 != unit
            & e2 = op(e1,e2) )
          | e2 != op(e1,e2) )
        & ( ( e2 != unit
            & e4 = op(e4,e2) )
          | e2 != op(e4,e4) )
        & ( ( e1 = op(e2,e2)
            & e2 != unit )
          | e2 != op(e2,e1) )
        & ( e2 != op(e1,e4)
          | ( e4 = op(e1,e2)
            & e2 != unit ) )
        & ( op(e0,e0) != e2
          | ( e2 != unit
            & e0 = op(e0,e2) ) )
        & ( ( e2 != unit
            & e4 = op(e3,e2) )
          | e2 != op(e3,e4) )
        & ( e2 != op(e3,e3)
          | ( e3 = op(e3,e2)
            & e2 != unit ) )
        & ( ( e2 != unit
            & e0 = op(e4,e2) )
          | e2 != op(e4,e0) )
        & ( ( e4 = op(e0,e2)
            & e2 != unit )
          | e2 != op(e0,e4) )
        & ( ( e3 = op(e2,e2)
            & e2 != unit )
          | e2 != op(e2,e3) )
        & ( e2 != op(e2,e0)
          | ( e2 != unit
            & e0 = op(e2,e2) ) )
        & ( e2 != op(e2,e4)
          | ( e4 = op(e2,e2)
            & e2 != unit ) )
        & ( ( e1 = op(e3,e2)
            & e2 != unit )
          | e2 != op(e3,e1) )
        & ( ( e3 = op(e4,e2)
            & e2 != unit )
          | e2 != op(e4,e3) )
        & ( e2 != op(e0,e1)
          | ( e1 = op(e0,e2)
            & e2 != unit ) )
        & ( ( e2 != unit
            & e0 = op(e1,e2) )
          | e2 != op(e1,e0) ) )
      | ( ( ( op(e0,e0) = e3
            & e0 != unit )
          | e0 != op(e0,e3) )
        & ( e0 != op(e3,e2)
          | ( e0 != unit
            & e2 = op(e3,e0) ) )
        & ( ( e2 = op(e1,e0)
            & e0 != unit )
          | e0 != op(e1,e2) )
        & ( e0 != op(e4,e3)
          | ( e0 != unit
            & e3 = op(e4,e0) ) )
        & ( ( e0 != unit
            & e1 = op(e3,e0) )
          | e0 != op(e3,e1) )
        & ( ( e2 = op(e2,e0)
            & e0 != unit )
          | e0 != op(e2,e2) )
        & ( ( e0 != unit
            & e0 = op(e3,e0) )
          | e0 != op(e3,e0) )
        & ( ( e0 = op(e0,e0)
            & e0 != unit )
          | e0 != op(e0,e0) )
        & ( ( e4 = op(e1,e0)
            & e0 != unit )
          | e0 != op(e1,e4) )
        & ( e0 != op(e4,e4)
          | ( e0 != unit
            & e4 = op(e4,e0) ) )
        & ( ( e0 != unit
            & op(e0,e0) = e2 )
          | e0 != op(e0,e2) )
        & ( e0 != op(e0,e1)
          | ( op(e0,e0) = e1
            & e0 != unit ) )
        & ( e0 != op(e3,e3)
          | ( e3 = op(e3,e0)
            & e0 != unit ) )
        & ( e0 != op(e0,e4)
          | ( e0 != unit
            & op(e0,e0) = e4 ) )
        & ( ( e1 = op(e1,e0)
            & e0 != unit )
          | e0 != op(e1,e1) )
        & ( e0 != op(e2,e3)
          | ( e0 != unit
            & e3 = op(e2,e0) ) )
        & ( ( e0 != unit
            & e1 = op(e4,e0) )
          | e0 != op(e4,e1) )
        & ( ( e4 = op(e3,e0)
            & e0 != unit )
          | e0 != op(e3,e4) )
        & ( e0 != op(e4,e2)
          | ( e0 != unit
            & e2 = op(e4,e0) ) )
        & ( e0 != op(e1,e0)
          | ( e0 = op(e1,e0)
            & e0 != unit ) )
        & ( e0 != op(e4,e0)
          | ( e0 != unit
            & e0 = op(e4,e0) ) )
        & ( e0 != op(e2,e1)
          | ( e1 = op(e2,e0)
            & e0 != unit ) )
        & ( e0 != op(e2,e0)
          | ( e0 = op(e2,e0)
            & e0 != unit ) )
        & ( e0 != op(e1,e3)
          | ( e3 = op(e1,e0)
            & e0 != unit ) )
        & ( e0 != op(e2,e4)
          | ( e0 != unit
            & e4 = op(e2,e0) ) ) )
      | ( ( e4 != op(e4,e1)
          | ( e4 != unit
            & e1 = op(e4,e4) ) )
        & ( e4 != op(e4,e0)
          | ( e4 != unit
            & e0 = op(e4,e4) ) )
        & ( ( e3 = op(e0,e4)
            & e4 != unit )
          | e4 != op(e0,e3) )
        & ( ( e0 = op(e0,e4)
            & e4 != unit )
          | op(e0,e0) != e4 )
        & ( ( e0 = op(e3,e4)
            & e4 != unit )
          | e4 != op(e3,e0) )
        & ( e4 != op(e4,e3)
          | ( e4 != unit
            & e3 = op(e4,e4) ) )
        & ( ( e4 = op(e4,e4)
            & e4 != unit )
          | e4 != op(e4,e4) )
        & ( e4 != op(e4,e2)
          | ( e2 = op(e4,e4)
            & e4 != unit ) )
        & ( ( e4 != unit
            & e1 = op(e0,e4) )
          | e4 != op(e0,e1) )
        & ( e4 != op(e0,e4)
          | ( e4 != unit
            & e4 = op(e0,e4) ) )
        & ( e4 != op(e1,e2)
          | ( e4 != unit
            & e2 = op(e1,e4) ) )
        & ( e4 != op(e3,e4)
          | ( e4 != unit
            & e4 = op(e3,e4) ) )
        & ( ( e4 != unit
            & e1 = op(e3,e4) )
          | e4 != op(e3,e1) )
        & ( ( e4 != unit
            & e1 = op(e2,e4) )
          | e4 != op(e2,e1) )
        & ( e4 != op(e1,e3)
          | ( e3 = op(e1,e4)
            & e4 != unit ) )
        & ( ( e4 != unit
            & e0 = op(e1,e4) )
          | e4 != op(e1,e0) )
        & ( ( e4 = op(e2,e4)
            & e4 != unit )
          | e4 != op(e2,e4) )
        & ( e4 != op(e1,e4)
          | ( e4 != unit
            & e4 = op(e1,e4) ) )
        & ( ( e0 = op(e2,e4)
            & e4 != unit )
          | e4 != op(e2,e0) )
        & ( ( e4 != unit
            & e1 = op(e1,e4) )
          | e4 != op(e1,e1) )
        & ( ( e2 = op(e0,e4)
            & e4 != unit )
          | e4 != op(e0,e2) )
        & ( e4 != op(e3,e2)
          | ( e2 = op(e3,e4)
            & e4 != unit ) )
        & ( e4 != op(e3,e3)
          | ( e4 != unit
            & e3 = op(e3,e4) ) )
        & ( ( e4 != unit
            & e3 = op(e2,e4) )
          | e4 != op(e2,e3) )
        & ( ( e4 != unit
            & e2 = op(e2,e4) )
          | e4 != op(e2,e2) ) )
      | ( ( ( e0 = op(e1,e3)
            & e3 != unit )
          | e3 != op(e1,e0) )
        & ( ( e1 = op(e0,e3)
            & e3 != unit )
          | e3 != op(e0,e1) )
        & ( e3 != op(e3,e2)
          | ( e3 != unit
            & e2 = op(e3,e3) ) )
        & ( e3 != op(e2,e4)
          | ( e4 = op(e2,e3)
            & e3 != unit ) )
        & ( ( e3 != unit
            & e3 = op(e1,e3) )
          | e3 != op(e1,e3) )
        & ( ( e3 != unit
            & e1 = op(e4,e3) )
          | e3 != op(e4,e1) )
        & ( ( e3 != unit
            & e0 = op(e4,e3) )
          | e3 != op(e4,e0) )
        & ( ( e3 != unit
            & e4 = op(e3,e3) )
          | e3 != op(e3,e4) )
        & ( e3 != op(e1,e1)
          | ( e1 = op(e1,e3)
            & e3 != unit ) )
        & ( ( e4 = op(e1,e3)
            & e3 != unit )
          | e3 != op(e1,e4) )
        & ( ( e3 != unit
            & e4 = op(e4,e3) )
          | e3 != op(e4,e4) )
        & ( ( e0 = op(e0,e3)
            & e3 != unit )
          | op(e0,e0) != e3 )
        & ( e3 != op(e4,e2)
          | ( e3 != unit
            & e2 = op(e4,e3) ) )
        & ( ( e3 != unit
            & e0 = op(e3,e3) )
          | e3 != op(e3,e0) )
        & ( ( e3 != unit
            & e2 = op(e2,e3) )
          | e3 != op(e2,e2) )
        & ( e3 != op(e3,e1)
          | ( e1 = op(e3,e3)
            & e3 != unit ) )
        & ( e3 != op(e3,e3)
          | ( e3 = op(e3,e3)
            & e3 != unit ) )
        & ( ( e3 = op(e4,e3)
            & e3 != unit )
          | e3 != op(e4,e3) )
        & ( ( e2 = op(e1,e3)
            & e3 != unit )
          | e3 != op(e1,e2) )
        & ( ( e3 = op(e0,e3)
            & e3 != unit )
          | e3 != op(e0,e3) )
        & ( ( e2 = op(e0,e3)
            & e3 != unit )
          | e3 != op(e0,e2) )
        & ( ( e4 = op(e0,e3)
            & e3 != unit )
          | e3 != op(e0,e4) )
        & ( ( e3 = op(e2,e3)
            & e3 != unit )
          | e3 != op(e2,e3) )
        & ( ( e3 != unit
            & e1 = op(e2,e3) )
          | e3 != op(e2,e1) )
        & ( ( e0 = op(e2,e3)
            & e3 != unit )
          | e3 != op(e2,e0) ) )
      | ( ( ( e0 = op(e2,e1)
            & e1 != unit )
          | e1 != op(e2,e0) )
        & ( ( e1 != unit
            & e4 = op(e4,e1) )
          | e1 != op(e4,e4) )
        & ( e1 != op(e4,e2)
          | ( e2 = op(e4,e1)
            & e1 != unit ) )
        & ( e1 != op(e1,e1)
          | ( e1 = op(e1,e1)
            & e1 != unit ) )
        & ( e1 != op(e1,e2)
          | ( e2 = op(e1,e1)
            & e1 != unit ) )
        & ( ( e0 = op(e4,e1)
            & e1 != unit )
          | e1 != op(e4,e0) )
        & ( e1 != op(e3,e3)
          | ( e1 != unit
            & e3 = op(e3,e1) ) )
        & ( ( e1 != unit
            & e2 = op(e3,e1) )
          | e1 != op(e3,e2) )
        & ( e1 != op(e0,e2)
          | ( e2 = op(e0,e1)
            & e1 != unit ) )
        & ( ( e3 = op(e4,e1)
            & e1 != unit )
          | e1 != op(e4,e3) )
        & ( e1 != op(e3,e1)
          | ( e1 = op(e3,e1)
            & e1 != unit ) )
        & ( ( e1 != unit
            & e4 = op(e2,e1) )
          | e1 != op(e2,e4) )
        & ( ( e1 != unit
            & e4 = op(e1,e1) )
          | e1 != op(e1,e4) )
        & ( e1 != op(e0,e4)
          | ( e4 = op(e0,e1)
            & e1 != unit ) )
        & ( e1 != op(e0,e1)
          | ( e1 != unit
            & e1 = op(e0,e1) ) )
        & ( e1 != op(e1,e3)
          | ( e1 != unit
            & e3 = op(e1,e1) ) )
        & ( ( e1 != unit
            & e0 = op(e0,e1) )
          | op(e0,e0) != e1 )
        & ( ( e0 = op(e3,e1)
            & e1 != unit )
          | e1 != op(e3,e0) )
        & ( ( e1 != unit
            & e0 = op(e1,e1) )
          | e1 != op(e1,e0) )
        & ( e1 != op(e0,e3)
          | ( e1 != unit
            & e3 = op(e0,e1) ) )
        & ( e1 != op(e3,e4)
          | ( e1 != unit
            & e4 = op(e3,e1) ) )
        & ( e1 != op(e2,e2)
          | ( e2 = op(e2,e1)
            & e1 != unit ) )
        & ( ( e1 != unit
            & e1 = op(e2,e1) )
          | e1 != op(e2,e1) )
        & ( ( e1 = op(e4,e1)
            & e1 != unit )
          | e1 != op(e4,e1) )
        & ( ( e1 != unit
            & e3 = op(e2,e1) )
          | e1 != op(e2,e3) ) ) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( ( ( op(e1,e4) != op(e4,e1)
            & e1 != op(op(e4,e1),e4)
            & e4 = op(op(e4,e1),e1) )
          | ( op(e0,e4) != op(e4,e0)
            & e4 = op(op(e4,e0),e0)
            & e0 != op(op(e4,e0),e4) )
          | ( op(e0,e2) != op(e2,e0)
            & e2 = op(op(e2,e0),e0)
            & e0 != op(op(e2,e0),e2) )
          | ( e4 = op(op(e4,e2),e2)
            & op(e2,e4) != op(e4,e2)
            & e2 != op(op(e4,e2),e4) )
          | ( e1 != op(op(e0,e1),e0)
            & e0 = op(op(e0,e1),e1)
            & op(e0,e1) != op(e1,e0) )
          | ( e4 != op(op(e0,e4),e0)
            & op(e0,e4) != op(e4,e0)
            & e0 = op(op(e0,e4),e4) )
          | ( e1 = op(op(e1,e2),e2)
            & op(e1,e2) != op(e2,e1)
            & e2 != op(op(e1,e2),e1) )
          | ( e3 != op(op(e2,e3),e2)
            & e2 = op(op(e2,e3),e3)
            & op(e2,e3) != op(e3,e2) )
          | ( e2 = op(op(e2,e1),e1)
            & e1 != op(op(e2,e1),e2)
            & op(e1,e2) != op(e2,e1) )
          | ( e4 = op(op(e4,e3),e3)
            & e3 != op(op(e4,e3),e4)
            & op(e3,e4) != op(e4,e3) )
          | ( op(e3,e4) != op(e4,e3)
            & e3 = op(op(e3,e4),e4)
            & e4 != op(op(e3,e4),e3) )
          | ( e3 = op(op(e3,e1),e1)
            & op(e1,e3) != op(e3,e1)
            & e1 != op(op(e3,e1),e3) )
          | ( e3 = op(op(e3,e0),e0)
            & op(e0,e3) != op(e3,e0)
            & e0 != op(op(e3,e0),e3) )
          | ( e1 = op(op(e1,e1),e1)
            & e1 != op(op(e1,e1),e1)
            & op(e1,e1) != op(e1,e1) )
          | ( e2 != op(op(e3,e2),e3)
            & op(e2,e3) != op(e3,e2)
            & e3 = op(op(e3,e2),e2) )
          | ( op(e0,e3) != op(e3,e0)
            & e3 != op(op(e0,e3),e0)
            & e0 = op(op(e0,e3),e3) )
          | ( e2 = op(op(e2,e2),e2)
            & op(e2,e2) != op(e2,e2)
            & e2 != op(op(e2,e2),e2) )
          | ( op(e4,e4) != op(e4,e4)
            & e4 != op(op(e4,e4),e4)
            & e4 = op(op(e4,e4),e4) )
          | ( e2 != op(op(e0,e2),e0)
            & e0 = op(op(e0,e2),e2)
            & op(e0,e2) != op(e2,e0) )
          | ( e0 != op(op(e0,e0),e0)
            & e0 = op(op(e0,e0),e0)
            & op(e0,e0) != op(e0,e0) )
          | ( e4 != op(op(e2,e4),e2)
            & op(e2,e4) != op(e4,e2)
            & e2 = op(op(e2,e4),e4) )
          | ( e1 = op(op(e1,e0),e0)
            & op(e0,e1) != op(e1,e0)
            & e0 != op(op(e1,e0),e1) )
          | ( e4 != op(op(e1,e4),e1)
            & e1 = op(op(e1,e4),e4)
            & op(e1,e4) != op(e4,e1) )
          | ( op(e3,e3) != op(e3,e3)
            & e3 != op(op(e3,e3),e3)
            & e3 = op(op(e3,e3),e3) )
          | ( op(e1,e3) != op(e3,e1)
            & e3 != op(op(e1,e3),e1)
            & e1 = op(op(e1,e3),e3) ) )
        & ( ( ( ( e2 != unit
                & e1 = op(e4,e2) )
              | e2 != op(e4,e1) )
            & ( ( e2 = op(e0,e2)
                & e2 != unit )
              | e2 != op(e0,e2) )
            & ( e2 != op(e1,e3)
              | ( e2 != unit
                & e3 = op(e1,e2) ) )
            & ( e2 != op(e1,e1)
              | ( e1 = op(e1,e2)
                & e2 != unit ) )
            & ( ( e2 != unit
                & e0 = op(e3,e2) )
              | e2 != op(e3,e0) )
            & ( ( e2 != unit
                & e2 = op(e3,e2) )
              | e2 != op(e3,e2) )
            & ( ( e3 = op(e0,e2)
                & e2 != unit )
              | e2 != op(e0,e3) )
            & ( ( e2 != unit
                & e2 = op(e2,e2) )
              | e2 != op(e2,e2) )
            & ( ( e2 = op(e4,e2)
                & e2 != unit )
              | e2 != op(e4,e2) )
            & ( ( e2 != unit
                & e2 = op(e1,e2) )
              | e2 != op(e1,e2) )
            & ( ( e2 != unit
                & e4 = op(e4,e2) )
              | e2 != op(e4,e4) )
            & ( ( e1 = op(e2,e2)
                & e2 != unit )
              | e2 != op(e2,e1) )
            & ( e2 != op(e1,e4)
              | ( e4 = op(e1,e2)
                & e2 != unit ) )
            & ( op(e0,e0) != e2
              | ( e2 != unit
                & e0 = op(e0,e2) ) )
            & ( ( e2 != unit
                & e4 = op(e3,e2) )
              | e2 != op(e3,e4) )
            & ( e2 != op(e3,e3)
              | ( e3 = op(e3,e2)
                & e2 != unit ) )
            & ( ( e2 != unit
                & e0 = op(e4,e2) )
              | e2 != op(e4,e0) )
            & ( ( e4 = op(e0,e2)
                & e2 != unit )
              | e2 != op(e0,e4) )
            & ( ( e3 = op(e2,e2)
                & e2 != unit )
              | e2 != op(e2,e3) )
            & ( e2 != op(e2,e0)
              | ( e2 != unit
                & e0 = op(e2,e2) ) )
            & ( e2 != op(e2,e4)
              | ( e4 = op(e2,e2)
                & e2 != unit ) )
            & ( ( e1 = op(e3,e2)
                & e2 != unit )
              | e2 != op(e3,e1) )
            & ( ( e3 = op(e4,e2)
                & e2 != unit )
              | e2 != op(e4,e3) )
            & ( e2 != op(e0,e1)
              | ( e1 = op(e0,e2)
                & e2 != unit ) )
            & ( ( e2 != unit
                & e0 = op(e1,e2) )
              | e2 != op(e1,e0) ) )
          | ( ( ( op(e0,e0) = e3
                & e0 != unit )
              | e0 != op(e0,e3) )
            & ( e0 != op(e3,e2)
              | ( e0 != unit
                & e2 = op(e3,e0) ) )
            & ( ( e2 = op(e1,e0)
                & e0 != unit )
              | e0 != op(e1,e2) )
            & ( e0 != op(e4,e3)
              | ( e0 != unit
                & e3 = op(e4,e0) ) )
            & ( ( e0 != unit
                & e1 = op(e3,e0) )
              | e0 != op(e3,e1) )
            & ( ( e2 = op(e2,e0)
                & e0 != unit )
              | e0 != op(e2,e2) )
            & ( ( e0 != unit
                & e0 = op(e3,e0) )
              | e0 != op(e3,e0) )
            & ( ( e0 = op(e0,e0)
                & e0 != unit )
              | e0 != op(e0,e0) )
            & ( ( e4 = op(e1,e0)
                & e0 != unit )
              | e0 != op(e1,e4) )
            & ( e0 != op(e4,e4)
              | ( e0 != unit
                & e4 = op(e4,e0) ) )
            & ( ( e0 != unit
                & op(e0,e0) = e2 )
              | e0 != op(e0,e2) )
            & ( e0 != op(e0,e1)
              | ( op(e0,e0) = e1
                & e0 != unit ) )
            & ( e0 != op(e3,e3)
              | ( e3 = op(e3,e0)
                & e0 != unit ) )
            & ( e0 != op(e0,e4)
              | ( e0 != unit
                & op(e0,e0) = e4 ) )
            & ( ( e1 = op(e1,e0)
                & e0 != unit )
              | e0 != op(e1,e1) )
            & ( e0 != op(e2,e3)
              | ( e0 != unit
                & e3 = op(e2,e0) ) )
            & ( ( e0 != unit
                & e1 = op(e4,e0) )
              | e0 != op(e4,e1) )
            & ( ( e4 = op(e3,e0)
                & e0 != unit )
              | e0 != op(e3,e4) )
            & ( e0 != op(e4,e2)
              | ( e0 != unit
                & e2 = op(e4,e0) ) )
            & ( e0 != op(e1,e0)
              | ( e0 = op(e1,e0)
                & e0 != unit ) )
            & ( e0 != op(e4,e0)
              | ( e0 != unit
                & e0 = op(e4,e0) ) )
            & ( e0 != op(e2,e1)
              | ( e1 = op(e2,e0)
                & e0 != unit ) )
            & ( e0 != op(e2,e0)
              | ( e0 = op(e2,e0)
                & e0 != unit ) )
            & ( e0 != op(e1,e3)
              | ( e3 = op(e1,e0)
                & e0 != unit ) )
            & ( e0 != op(e2,e4)
              | ( e0 != unit
                & e4 = op(e2,e0) ) ) )
          | ( ( e4 != op(e4,e1)
              | ( e4 != unit
                & e1 = op(e4,e4) ) )
            & ( e4 != op(e4,e0)
              | ( e4 != unit
                & e0 = op(e4,e4) ) )
            & ( ( e3 = op(e0,e4)
                & e4 != unit )
              | e4 != op(e0,e3) )
            & ( ( e0 = op(e0,e4)
                & e4 != unit )
              | op(e0,e0) != e4 )
            & ( ( e0 = op(e3,e4)
                & e4 != unit )
              | e4 != op(e3,e0) )
            & ( e4 != op(e4,e3)
              | ( e4 != unit
                & e3 = op(e4,e4) ) )
            & ( ( e4 = op(e4,e4)
                & e4 != unit )
              | e4 != op(e4,e4) )
            & ( e4 != op(e4,e2)
              | ( e2 = op(e4,e4)
                & e4 != unit ) )
            & ( ( e4 != unit
                & e1 = op(e0,e4) )
              | e4 != op(e0,e1) )
            & ( e4 != op(e0,e4)
              | ( e4 != unit
                & e4 = op(e0,e4) ) )
            & ( e4 != op(e1,e2)
              | ( e4 != unit
                & e2 = op(e1,e4) ) )
            & ( e4 != op(e3,e4)
              | ( e4 != unit
                & e4 = op(e3,e4) ) )
            & ( ( e4 != unit
                & e1 = op(e3,e4) )
              | e4 != op(e3,e1) )
            & ( ( e4 != unit
                & e1 = op(e2,e4) )
              | e4 != op(e2,e1) )
            & ( e4 != op(e1,e3)
              | ( e3 = op(e1,e4)
                & e4 != unit ) )
            & ( ( e4 != unit
                & e0 = op(e1,e4) )
              | e4 != op(e1,e0) )
            & ( ( e4 = op(e2,e4)
                & e4 != unit )
              | e4 != op(e2,e4) )
            & ( e4 != op(e1,e4)
              | ( e4 != unit
                & e4 = op(e1,e4) ) )
            & ( ( e0 = op(e2,e4)
                & e4 != unit )
              | e4 != op(e2,e0) )
            & ( ( e4 != unit
                & e1 = op(e1,e4) )
              | e4 != op(e1,e1) )
            & ( ( e2 = op(e0,e4)
                & e4 != unit )
              | e4 != op(e0,e2) )
            & ( e4 != op(e3,e2)
              | ( e2 = op(e3,e4)
                & e4 != unit ) )
            & ( e4 != op(e3,e3)
              | ( e4 != unit
                & e3 = op(e3,e4) ) )
            & ( ( e4 != unit
                & e3 = op(e2,e4) )
              | e4 != op(e2,e3) )
            & ( ( e4 != unit
                & e2 = op(e2,e4) )
              | e4 != op(e2,e2) ) )
          | ( ( ( e0 = op(e1,e3)
                & e3 != unit )
              | e3 != op(e1,e0) )
            & ( ( e1 = op(e0,e3)
                & e3 != unit )
              | e3 != op(e0,e1) )
            & ( e3 != op(e3,e2)
              | ( e3 != unit
                & e2 = op(e3,e3) ) )
            & ( e3 != op(e2,e4)
              | ( e4 = op(e2,e3)
                & e3 != unit ) )
            & ( ( e3 != unit
                & e3 = op(e1,e3) )
              | e3 != op(e1,e3) )
            & ( ( e3 != unit
                & e1 = op(e4,e3) )
              | e3 != op(e4,e1) )
            & ( ( e3 != unit
                & e0 = op(e4,e3) )
              | e3 != op(e4,e0) )
            & ( ( e3 != unit
                & e4 = op(e3,e3) )
              | e3 != op(e3,e4) )
            & ( e3 != op(e1,e1)
              | ( e1 = op(e1,e3)
                & e3 != unit ) )
            & ( ( e4 = op(e1,e3)
                & e3 != unit )
              | e3 != op(e1,e4) )
            & ( ( e3 != unit
                & e4 = op(e4,e3) )
              | e3 != op(e4,e4) )
            & ( ( e0 = op(e0,e3)
                & e3 != unit )
              | op(e0,e0) != e3 )
            & ( e3 != op(e4,e2)
              | ( e3 != unit
                & e2 = op(e4,e3) ) )
            & ( ( e3 != unit
                & e0 = op(e3,e3) )
              | e3 != op(e3,e0) )
            & ( ( e3 != unit
                & e2 = op(e2,e3) )
              | e3 != op(e2,e2) )
            & ( e3 != op(e3,e1)
              | ( e1 = op(e3,e3)
                & e3 != unit ) )
            & ( e3 != op(e3,e3)
              | ( e3 = op(e3,e3)
                & e3 != unit ) )
            & ( ( e3 = op(e4,e3)
                & e3 != unit )
              | e3 != op(e4,e3) )
            & ( ( e2 = op(e1,e3)
                & e3 != unit )
              | e3 != op(e1,e2) )
            & ( ( e3 = op(e0,e3)
                & e3 != unit )
              | e3 != op(e0,e3) )
            & ( ( e2 = op(e0,e3)
                & e3 != unit )
              | e3 != op(e0,e2) )
            & ( ( e4 = op(e0,e3)
                & e3 != unit )
              | e3 != op(e0,e4) )
            & ( ( e3 = op(e2,e3)
                & e3 != unit )
              | e3 != op(e2,e3) )
            & ( ( e3 != unit
                & e1 = op(e2,e3) )
              | e3 != op(e2,e1) )
            & ( ( e0 = op(e2,e3)
                & e3 != unit )
              | e3 != op(e2,e0) ) )
          | ( ( ( e0 = op(e2,e1)
                & e1 != unit )
              | e1 != op(e2,e0) )
            & ( ( e1 != unit
                & e4 = op(e4,e1) )
              | e1 != op(e4,e4) )
            & ( e1 != op(e4,e2)
              | ( e2 = op(e4,e1)
                & e1 != unit ) )
            & ( e1 != op(e1,e1)
              | ( e1 = op(e1,e1)
                & e1 != unit ) )
            & ( e1 != op(e1,e2)
              | ( e2 = op(e1,e1)
                & e1 != unit ) )
            & ( ( e0 = op(e4,e1)
                & e1 != unit )
              | e1 != op(e4,e0) )
            & ( e1 != op(e3,e3)
              | ( e1 != unit
                & e3 = op(e3,e1) ) )
            & ( ( e1 != unit
                & e2 = op(e3,e1) )
              | e1 != op(e3,e2) )
            & ( e1 != op(e0,e2)
              | ( e2 = op(e0,e1)
                & e1 != unit ) )
            & ( ( e3 = op(e4,e1)
                & e1 != unit )
              | e1 != op(e4,e3) )
            & ( e1 != op(e3,e1)
              | ( e1 = op(e3,e1)
                & e1 != unit ) )
            & ( ( e1 != unit
                & e4 = op(e2,e1) )
              | e1 != op(e2,e4) )
            & ( ( e1 != unit
                & e4 = op(e1,e1) )
              | e1 != op(e1,e4) )
            & ( e1 != op(e0,e4)
              | ( e4 = op(e0,e1)
                & e1 != unit ) )
            & ( e1 != op(e0,e1)
              | ( e1 != unit
                & e1 = op(e0,e1) ) )
            & ( e1 != op(e1,e3)
              | ( e1 != unit
                & e3 = op(e1,e1) ) )
            & ( ( e1 != unit
                & e0 = op(e0,e1) )
              | op(e0,e0) != e1 )
            & ( ( e0 = op(e3,e1)
                & e1 != unit )
              | e1 != op(e3,e0) )
            & ( ( e1 != unit
                & e0 = op(e1,e1) )
              | e1 != op(e1,e0) )
            & ( e1 != op(e0,e3)
              | ( e1 != unit
                & e3 = op(e0,e1) ) )
            & ( e1 != op(e3,e4)
              | ( e1 != unit
                & e4 = op(e3,e1) ) )
            & ( e1 != op(e2,e2)
              | ( e2 = op(e2,e1)
                & e1 != unit ) )
            & ( ( e1 != unit
                & e1 = op(e2,e1) )
              | e1 != op(e2,e1) )
            & ( ( e1 = op(e4,e1)
                & e1 != unit )
              | e1 != op(e4,e1) )
            & ( ( e1 != unit
                & e3 = op(e2,e1) )
              | e1 != op(e2,e3) ) ) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( ( ( op(e1,e4) != op(e4,e1)
          & e1 != op(op(e4,e1),e4)
          & e4 = op(op(e4,e1),e1) )
        | ( op(e0,e4) != op(e4,e0)
          & e4 = op(op(e4,e0),e0)
          & e0 != op(op(e4,e0),e4) )
        | ( op(e0,e2) != op(e2,e0)
          & e2 = op(op(e2,e0),e0)
          & e0 != op(op(e2,e0),e2) )
        | ( e4 = op(op(e4,e2),e2)
          & op(e2,e4) != op(e4,e2)
          & e2 != op(op(e4,e2),e4) )
        | ( e1 != op(op(e0,e1),e0)
          & e0 = op(op(e0,e1),e1)
          & op(e0,e1) != op(e1,e0) )
        | ( e4 != op(op(e0,e4),e0)
          & op(e0,e4) != op(e4,e0)
          & e0 = op(op(e0,e4),e4) )
        | ( e1 = op(op(e1,e2),e2)
          & op(e1,e2) != op(e2,e1)
          & e2 != op(op(e1,e2),e1) )
        | ( e3 != op(op(e2,e3),e2)
          & e2 = op(op(e2,e3),e3)
          & op(e2,e3) != op(e3,e2) )
        | ( e2 = op(op(e2,e1),e1)
          & e1 != op(op(e2,e1),e2)
          & op(e1,e2) != op(e2,e1) )
        | ( e4 = op(op(e4,e3),e3)
          & e3 != op(op(e4,e3),e4)
          & op(e3,e4) != op(e4,e3) )
        | ( op(e3,e4) != op(e4,e3)
          & e3 = op(op(e3,e4),e4)
          & e4 != op(op(e3,e4),e3) )
        | ( e3 = op(op(e3,e1),e1)
          & op(e1,e3) != op(e3,e1)
          & e1 != op(op(e3,e1),e3) )
        | ( e3 = op(op(e3,e0),e0)
          & op(e0,e3) != op(e3,e0)
          & e0 != op(op(e3,e0),e3) )
        | ( e1 = op(op(e1,e1),e1)
          & e1 != op(op(e1,e1),e1)
          & op(e1,e1) != op(e1,e1) )
        | ( e2 != op(op(e3,e2),e3)
          & op(e2,e3) != op(e3,e2)
          & e3 = op(op(e3,e2),e2) )
        | ( op(e0,e3) != op(e3,e0)
          & e3 != op(op(e0,e3),e0)
          & e0 = op(op(e0,e3),e3) )
        | ( e2 = op(op(e2,e2),e2)
          & op(e2,e2) != op(e2,e2)
          & e2 != op(op(e2,e2),e2) )
        | ( op(e4,e4) != op(e4,e4)
          & e4 != op(op(e4,e4),e4)
          & e4 = op(op(e4,e4),e4) )
        | ( e2 != op(op(e0,e2),e0)
          & e0 = op(op(e0,e2),e2)
          & op(e0,e2) != op(e2,e0) )
        | ( e0 != op(op(e0,e0),e0)
          & e0 = op(op(e0,e0),e0)
          & op(e0,e0) != op(e0,e0) )
        | ( e4 != op(op(e2,e4),e2)
          & op(e2,e4) != op(e4,e2)
          & e2 = op(op(e2,e4),e4) )
        | ( e1 = op(op(e1,e0),e0)
          & op(e0,e1) != op(e1,e0)
          & e0 != op(op(e1,e0),e1) )
        | ( e4 != op(op(e1,e4),e1)
          & e1 = op(op(e1,e4),e4)
          & op(e1,e4) != op(e4,e1) )
        | ( op(e3,e3) != op(e3,e3)
          & e3 != op(op(e3,e3),e3)
          & e3 = op(op(e3,e3),e3) )
        | ( op(e1,e3) != op(e3,e1)
          & e3 != op(op(e1,e3),e1)
          & e1 = op(op(e1,e3),e3) ) )
      & ( ( ( ( e2 != unit
              & e1 = op(e4,e2) )
            | e2 != op(e4,e1) )
          & ( ( e2 = op(e0,e2)
              & e2 != unit )
            | e2 != op(e0,e2) )
          & ( e2 != op(e1,e3)
            | ( e2 != unit
              & e3 = op(e1,e2) ) )
          & ( e2 != op(e1,e1)
            | ( e1 = op(e1,e2)
              & e2 != unit ) )
          & ( ( e2 != unit
              & e0 = op(e3,e2) )
            | e2 != op(e3,e0) )
          & ( ( e2 != unit
              & e2 = op(e3,e2) )
            | e2 != op(e3,e2) )
          & ( ( e3 = op(e0,e2)
              & e2 != unit )
            | e2 != op(e0,e3) )
          & ( ( e2 != unit
              & e2 = op(e2,e2) )
            | e2 != op(e2,e2) )
          & ( ( e2 = op(e4,e2)
              & e2 != unit )
            | e2 != op(e4,e2) )
          & ( ( e2 != unit
              & e2 = op(e1,e2) )
            | e2 != op(e1,e2) )
          & ( ( e2 != unit
              & e4 = op(e4,e2) )
            | e2 != op(e4,e4) )
          & ( ( e1 = op(e2,e2)
              & e2 != unit )
            | e2 != op(e2,e1) )
          & ( e2 != op(e1,e4)
            | ( e4 = op(e1,e2)
              & e2 != unit ) )
          & ( op(e0,e0) != e2
            | ( e2 != unit
              & e0 = op(e0,e2) ) )
          & ( ( e2 != unit
              & e4 = op(e3,e2) )
            | e2 != op(e3,e4) )
          & ( e2 != op(e3,e3)
            | ( e3 = op(e3,e2)
              & e2 != unit ) )
          & ( ( e2 != unit
              & e0 = op(e4,e2) )
            | e2 != op(e4,e0) )
          & ( ( e4 = op(e0,e2)
              & e2 != unit )
            | e2 != op(e0,e4) )
          & ( ( e3 = op(e2,e2)
              & e2 != unit )
            | e2 != op(e2,e3) )
          & ( e2 != op(e2,e0)
            | ( e2 != unit
              & e0 = op(e2,e2) ) )
          & ( e2 != op(e2,e4)
            | ( e4 = op(e2,e2)
              & e2 != unit ) )
          & ( ( e1 = op(e3,e2)
              & e2 != unit )
            | e2 != op(e3,e1) )
          & ( ( e3 = op(e4,e2)
              & e2 != unit )
            | e2 != op(e4,e3) )
          & ( e2 != op(e0,e1)
            | ( e1 = op(e0,e2)
              & e2 != unit ) )
          & ( ( e2 != unit
              & e0 = op(e1,e2) )
            | e2 != op(e1,e0) ) )
        | ( ( ( op(e0,e0) = e3
              & e0 != unit )
            | e0 != op(e0,e3) )
          & ( e0 != op(e3,e2)
            | ( e0 != unit
              & e2 = op(e3,e0) ) )
          & ( ( e2 = op(e1,e0)
              & e0 != unit )
            | e0 != op(e1,e2) )
          & ( e0 != op(e4,e3)
            | ( e0 != unit
              & e3 = op(e4,e0) ) )
          & ( ( e0 != unit
              & e1 = op(e3,e0) )
            | e0 != op(e3,e1) )
          & ( ( e2 = op(e2,e0)
              & e0 != unit )
            | e0 != op(e2,e2) )
          & ( ( e0 != unit
              & e0 = op(e3,e0) )
            | e0 != op(e3,e0) )
          & ( ( e0 = op(e0,e0)
              & e0 != unit )
            | e0 != op(e0,e0) )
          & ( ( e4 = op(e1,e0)
              & e0 != unit )
            | e0 != op(e1,e4) )
          & ( e0 != op(e4,e4)
            | ( e0 != unit
              & e4 = op(e4,e0) ) )
          & ( ( e0 != unit
              & op(e0,e0) = e2 )
            | e0 != op(e0,e2) )
          & ( e0 != op(e0,e1)
            | ( op(e0,e0) = e1
              & e0 != unit ) )
          & ( e0 != op(e3,e3)
            | ( e3 = op(e3,e0)
              & e0 != unit ) )
          & ( e0 != op(e0,e4)
            | ( e0 != unit
              & op(e0,e0) = e4 ) )
          & ( ( e1 = op(e1,e0)
              & e0 != unit )
            | e0 != op(e1,e1) )
          & ( e0 != op(e2,e3)
            | ( e0 != unit
              & e3 = op(e2,e0) ) )
          & ( ( e0 != unit
              & e1 = op(e4,e0) )
            | e0 != op(e4,e1) )
          & ( ( e4 = op(e3,e0)
              & e0 != unit )
            | e0 != op(e3,e4) )
          & ( e0 != op(e4,e2)
            | ( e0 != unit
              & e2 = op(e4,e0) ) )
          & ( e0 != op(e1,e0)
            | ( e0 = op(e1,e0)
              & e0 != unit ) )
          & ( e0 != op(e4,e0)
            | ( e0 != unit
              & e0 = op(e4,e0) ) )
          & ( e0 != op(e2,e1)
            | ( e1 = op(e2,e0)
              & e0 != unit ) )
          & ( e0 != op(e2,e0)
            | ( e0 = op(e2,e0)
              & e0 != unit ) )
          & ( e0 != op(e1,e3)
            | ( e3 = op(e1,e0)
              & e0 != unit ) )
          & ( e0 != op(e2,e4)
            | ( e0 != unit
              & e4 = op(e2,e0) ) ) )
        | ( ( e4 != op(e4,e1)
            | ( e4 != unit
              & e1 = op(e4,e4) ) )
          & ( e4 != op(e4,e0)
            | ( e4 != unit
              & e0 = op(e4,e4) ) )
          & ( ( e3 = op(e0,e4)
              & e4 != unit )
            | e4 != op(e0,e3) )
          & ( ( e0 = op(e0,e4)
              & e4 != unit )
            | op(e0,e0) != e4 )
          & ( ( e0 = op(e3,e4)
              & e4 != unit )
            | e4 != op(e3,e0) )
          & ( e4 != op(e4,e3)
            | ( e4 != unit
              & e3 = op(e4,e4) ) )
          & ( ( e4 = op(e4,e4)
              & e4 != unit )
            | e4 != op(e4,e4) )
          & ( e4 != op(e4,e2)
            | ( e2 = op(e4,e4)
              & e4 != unit ) )
          & ( ( e4 != unit
              & e1 = op(e0,e4) )
            | e4 != op(e0,e1) )
          & ( e4 != op(e0,e4)
            | ( e4 != unit
              & e4 = op(e0,e4) ) )
          & ( e4 != op(e1,e2)
            | ( e4 != unit
              & e2 = op(e1,e4) ) )
          & ( e4 != op(e3,e4)
            | ( e4 != unit
              & e4 = op(e3,e4) ) )
          & ( ( e4 != unit
              & e1 = op(e3,e4) )
            | e4 != op(e3,e1) )
          & ( ( e4 != unit
              & e1 = op(e2,e4) )
            | e4 != op(e2,e1) )
          & ( e4 != op(e1,e3)
            | ( e3 = op(e1,e4)
              & e4 != unit ) )
          & ( ( e4 != unit
              & e0 = op(e1,e4) )
            | e4 != op(e1,e0) )
          & ( ( e4 = op(e2,e4)
              & e4 != unit )
            | e4 != op(e2,e4) )
          & ( e4 != op(e1,e4)
            | ( e4 != unit
              & e4 = op(e1,e4) ) )
          & ( ( e0 = op(e2,e4)
              & e4 != unit )
            | e4 != op(e2,e0) )
          & ( ( e4 != unit
              & e1 = op(e1,e4) )
            | e4 != op(e1,e1) )
          & ( ( e2 = op(e0,e4)
              & e4 != unit )
            | e4 != op(e0,e2) )
          & ( e4 != op(e3,e2)
            | ( e2 = op(e3,e4)
              & e4 != unit ) )
          & ( e4 != op(e3,e3)
            | ( e4 != unit
              & e3 = op(e3,e4) ) )
          & ( ( e4 != unit
              & e3 = op(e2,e4) )
            | e4 != op(e2,e3) )
          & ( ( e4 != unit
              & e2 = op(e2,e4) )
            | e4 != op(e2,e2) ) )
        | ( ( ( e0 = op(e1,e3)
              & e3 != unit )
            | e3 != op(e1,e0) )
          & ( ( e1 = op(e0,e3)
              & e3 != unit )
            | e3 != op(e0,e1) )
          & ( e3 != op(e3,e2)
            | ( e3 != unit
              & e2 = op(e3,e3) ) )
          & ( e3 != op(e2,e4)
            | ( e4 = op(e2,e3)
              & e3 != unit ) )
          & ( ( e3 != unit
              & e3 = op(e1,e3) )
            | e3 != op(e1,e3) )
          & ( ( e3 != unit
              & e1 = op(e4,e3) )
            | e3 != op(e4,e1) )
          & ( ( e3 != unit
              & e0 = op(e4,e3) )
            | e3 != op(e4,e0) )
          & ( ( e3 != unit
              & e4 = op(e3,e3) )
            | e3 != op(e3,e4) )
          & ( e3 != op(e1,e1)
            | ( e1 = op(e1,e3)
              & e3 != unit ) )
          & ( ( e4 = op(e1,e3)
              & e3 != unit )
            | e3 != op(e1,e4) )
          & ( ( e3 != unit
              & e4 = op(e4,e3) )
            | e3 != op(e4,e4) )
          & ( ( e0 = op(e0,e3)
              & e3 != unit )
            | op(e0,e0) != e3 )
          & ( e3 != op(e4,e2)
            | ( e3 != unit
              & e2 = op(e4,e3) ) )
          & ( ( e3 != unit
              & e0 = op(e3,e3) )
            | e3 != op(e3,e0) )
          & ( ( e3 != unit
              & e2 = op(e2,e3) )
            | e3 != op(e2,e2) )
          & ( e3 != op(e3,e1)
            | ( e1 = op(e3,e3)
              & e3 != unit ) )
          & ( e3 != op(e3,e3)
            | ( e3 = op(e3,e3)
              & e3 != unit ) )
          & ( ( e3 = op(e4,e3)
              & e3 != unit )
            | e3 != op(e4,e3) )
          & ( ( e2 = op(e1,e3)
              & e3 != unit )
            | e3 != op(e1,e2) )
          & ( ( e3 = op(e0,e3)
              & e3 != unit )
            | e3 != op(e0,e3) )
          & ( ( e2 = op(e0,e3)
              & e3 != unit )
            | e3 != op(e0,e2) )
          & ( ( e4 = op(e0,e3)
              & e3 != unit )
            | e3 != op(e0,e4) )
          & ( ( e3 = op(e2,e3)
              & e3 != unit )
            | e3 != op(e2,e3) )
          & ( ( e3 != unit
              & e1 = op(e2,e3) )
            | e3 != op(e2,e1) )
          & ( ( e0 = op(e2,e3)
              & e3 != unit )
            | e3 != op(e2,e0) ) )
        | ( ( ( e0 = op(e2,e1)
              & e1 != unit )
            | e1 != op(e2,e0) )
          & ( ( e1 != unit
              & e4 = op(e4,e1) )
            | e1 != op(e4,e4) )
          & ( e1 != op(e4,e2)
            | ( e2 = op(e4,e1)
              & e1 != unit ) )
          & ( e1 != op(e1,e1)
            | ( e1 = op(e1,e1)
              & e1 != unit ) )
          & ( e1 != op(e1,e2)
            | ( e2 = op(e1,e1)
              & e1 != unit ) )
          & ( ( e0 = op(e4,e1)
              & e1 != unit )
            | e1 != op(e4,e0) )
          & ( e1 != op(e3,e3)
            | ( e1 != unit
              & e3 = op(e3,e1) ) )
          & ( ( e1 != unit
              & e2 = op(e3,e1) )
            | e1 != op(e3,e2) )
          & ( e1 != op(e0,e2)
            | ( e2 = op(e0,e1)
              & e1 != unit ) )
          & ( ( e3 = op(e4,e1)
              & e1 != unit )
            | e1 != op(e4,e3) )
          & ( e1 != op(e3,e1)
            | ( e1 = op(e3,e1)
              & e1 != unit ) )
          & ( ( e1 != unit
              & e4 = op(e2,e1) )
            | e1 != op(e2,e4) )
          & ( ( e1 != unit
              & e4 = op(e1,e1) )
            | e1 != op(e1,e4) )
          & ( e1 != op(e0,e4)
            | ( e4 = op(e0,e1)
              & e1 != unit ) )
          & ( e1 != op(e0,e1)
            | ( e1 != unit
              & e1 = op(e0,e1) ) )
          & ( e1 != op(e1,e3)
            | ( e1 != unit
              & e3 = op(e1,e1) ) )
          & ( ( e1 != unit
              & e0 = op(e0,e1) )
            | op(e0,e0) != e1 )
          & ( ( e0 = op(e3,e1)
              & e1 != unit )
            | e1 != op(e3,e0) )
          & ( ( e1 != unit
              & e0 = op(e1,e1) )
            | e1 != op(e1,e0) )
          & ( e1 != op(e0,e3)
            | ( e1 != unit
              & e3 = op(e0,e1) ) )
          & ( e1 != op(e3,e4)
            | ( e1 != unit
              & e4 = op(e3,e1) ) )
          & ( e1 != op(e2,e2)
            | ( e2 = op(e2,e1)
              & e1 != unit ) )
          & ( ( e1 != unit
              & e1 = op(e2,e1) )
            | e1 != op(e2,e1) )
          & ( ( e1 = op(e4,e1)
              & e1 != unit )
            | e1 != op(e4,e1) )
          & ( ( e1 != unit
              & e3 = op(e2,e1) )
            | e1 != op(e2,e3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2688,plain,
    ( ~ spl154_68
    | spl154_274 ),
    inference(avatar_split_clause,[],[f650,f2276,f1271]) ).

fof(f2276,plain,
    ( spl154_274
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_274])]) ).

fof(f650,plain,
    ( sP9
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f2686,plain,
    ( ~ spl154_161
    | ~ spl154_171
    | spl154_228 ),
    inference(avatar_split_clause,[],[f768,f2018,f1747,f1700]) ).

fof(f1747,plain,
    ( spl154_171
  <=> sP73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_171])]) ).

fof(f768,plain,
    ( e0 = op(e4,e4)
    | ~ sP73
    | e4 != op(e4,e0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f245,plain,
    ( e4 != op(e4,e0)
    | ( e4 != unit
      & e0 = op(e4,e4) )
    | ~ sP73 ),
    inference(nnf_transformation,[],[f83]) ).

fof(f2667,plain,
    ( spl154_70
    | spl154_103
    | spl154_210
    | spl154_297
    | spl154_269 ),
    inference(avatar_split_clause,[],[f426,f2251,f2422,f1933,f1427,f1280]) ).

fof(f426,plain,
    ( e1 = op(e2,e1)
    | e1 = op(e2,e4)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2646,plain,
    ( ~ spl154_173
    | spl154_321 ),
    inference(avatar_split_clause,[],[f497,f2643,f1756]) ).

fof(f1756,plain,
    ( spl154_173
  <=> sP144 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_173])]) ).

fof(f497,plain,
    ( e3 = op(op(e3,e4),e4)
    | ~ sP144 ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ( ( op(e3,e4) != op(e4,e3)
      & e3 = op(op(e3,e4),e4)
      & e4 != op(op(e3,e4),e3) )
    | ~ sP144 ),
    inference(nnf_transformation,[],[f154]) ).

fof(f2633,plain,
    ( spl154_95
    | spl154_164
    | spl154_209
    | ~ spl154_277
    | spl154_177
    | spl154_216
    | spl154_1
    | spl154_120
    | spl154_50
    | spl154_218
    | spl154_31
    | spl154_204
    | spl154_73
    | spl154_217
    | spl154_116
    | spl154_215
    | spl154_222
    | spl154_27
    | spl154_173
    | spl154_114
    | spl154_221
    | spl154_214
    | spl154_220 ),
    inference(avatar_split_clause,[],[f2632,f1977,f1953,f1981,f1477,f1756,f1089,f1985,f1957,f1486,f1965,f1293,f1905,f1107,f1969,f1191,f1505,f976,f1961,f1775,f2290,f1928,f1713,f1391]) ).

fof(f1713,plain,
    ( spl154_164
  <=> sP133 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_164])]) ).

fof(f1928,plain,
    ( spl154_209
  <=> sP152 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_209])]) ).

fof(f1775,plain,
    ( spl154_177
  <=> sP146 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_177])]) ).

fof(f1961,plain,
    ( spl154_216
  <=> sP147 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_216])]) ).

fof(f1969,plain,
    ( spl154_218
  <=> sP149 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_218])]) ).

fof(f1107,plain,
    ( spl154_31
  <=> sP142 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_31])]) ).

fof(f1905,plain,
    ( spl154_204
  <=> sP134 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_204])]) ).

fof(f1293,plain,
    ( spl154_73
  <=> sP136 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_73])]) ).

fof(f1965,plain,
    ( spl154_217
  <=> sP132 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_217])]) ).

fof(f1486,plain,
    ( spl154_116
  <=> sP153 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_116])]) ).

fof(f1985,plain,
    ( spl154_222
  <=> sP148 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_222])]) ).

fof(f1089,plain,
    ( spl154_27
  <=> sP140 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_27])]) ).

fof(f1477,plain,
    ( spl154_114
  <=> sP143 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_114])]) ).

fof(f1981,plain,
    ( spl154_221
  <=> sP130 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_221])]) ).

fof(f1953,plain,
    ( spl154_214
  <=> sP138 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_214])]) ).

fof(f1977,plain,
    ( spl154_220
  <=> sP151 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_220])]) ).

fof(f2632,plain,
    ( sP151
    | sP138
    | sP130
    | sP143
    | sP144
    | sP140
    | sP148
    | sP135
    | sP153
    | sP132
    | sP136
    | sP134
    | sP142
    | sP149
    | sP145
    | sP150
    | sP131
    | sP147
    | sP146
    | op(e1,e4) != op(e4,e1)
    | sP152
    | sP133
    | sP139 ),
    inference(subsumption_resolution,[],[f2631,f973]) ).

fof(f973,plain,
    ~ sP141,
    inference(trivial_inequality_removal,[],[f505]) ).

fof(f505,plain,
    ( ~ sP141
    | op(e1,e1) != op(e1,e1) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ( ( e1 = op(op(e1,e1),e1)
      & e1 != op(op(e1,e1),e1)
      & op(e1,e1) != op(e1,e1) )
    | ~ sP141 ),
    inference(nnf_transformation,[],[f151]) ).

fof(f2631,plain,
    ( sP148
    | sP145
    | sP140
    | sP142
    | sP147
    | sP153
    | sP141
    | op(e1,e4) != op(e4,e1)
    | sP130
    | sP133
    | sP134
    | sP144
    | sP143
    | sP150
    | sP132
    | sP131
    | sP152
    | sP139
    | sP136
    | sP146
    | sP135
    | sP138
    | sP149
    | sP151 ),
    inference(subsumption_resolution,[],[f919,f974]) ).

fof(f974,plain,
    ~ sP137,
    inference(trivial_inequality_removal,[],[f519]) ).

fof(f519,plain,
    ( ~ sP137
    | op(e4,e4) != op(e4,e4) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ( ( op(e4,e4) != op(e4,e4)
      & e4 != op(op(e4,e4),e4)
      & e4 = op(op(e4,e4),e4) )
    | ~ sP137 ),
    inference(nnf_transformation,[],[f147]) ).

fof(f919,plain,
    ( op(e1,e4) != op(e4,e1)
    | sP143
    | sP131
    | sP151
    | sP138
    | sP130
    | sP133
    | sP153
    | sP139
    | sP152
    | sP134
    | sP147
    | sP137
    | sP140
    | sP150
    | sP145
    | sP135
    | sP148
    | sP136
    | sP142
    | sP146
    | sP132
    | sP141
    | sP144
    | sP149 ),
    inference(cnf_transformation,[],[f164]) ).

fof(f2626,plain,
    ( spl154_276
    | spl154_145
    | spl154_184
    | spl154_65
    | spl154_37 ),
    inference(avatar_split_clause,[],[f456,f1135,f1257,f1809,f1623,f2285]) ).

fof(f456,plain,
    ( e3 = op(e2,e4)
    | e3 = op(e3,e4)
    | e3 = op(e1,e4)
    | e3 = op(e0,e4)
    | e3 = op(e4,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2625,plain,
    ( spl154_38
    | ~ spl154_72
    | ~ spl154_70 ),
    inference(avatar_split_clause,[],[f914,f1280,f1288,f1139]) ).

fof(f1288,plain,
    ( spl154_72
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_72])]) ).

fof(f914,plain,
    ( e1 != op(e2,e3)
    | ~ sP0
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f318]) ).

fof(f318,plain,
    ( ( e1 != unit
      & e3 = op(e2,e1) )
    | e1 != op(e2,e3)
    | ~ sP0 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f2595,plain,
    ( ~ spl154_164
    | ~ spl154_119 ),
    inference(avatar_split_clause,[],[f530,f1501,f1713]) ).

fof(f530,plain,
    ( op(e0,e1) != op(e1,e0)
    | ~ sP133 ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ( ( e1 = op(op(e1,e0),e0)
      & op(e0,e1) != op(e1,e0)
      & e0 != op(op(e1,e0),e1) )
    | ~ sP133 ),
    inference(nnf_transformation,[],[f143]) ).

fof(f2573,plain,
    ~ spl154_239,
    inference(avatar_split_clause,[],[f961,f2079]) ).

fof(f961,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f2571,plain,
    ( ~ spl154_115
    | ~ spl154_218 ),
    inference(avatar_split_clause,[],[f482,f1969,f1482]) ).

fof(f482,plain,
    ( ~ sP149
    | op(e0,e4) != op(e4,e0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ( ( e4 != op(op(e0,e4),e0)
      & op(e0,e4) != op(e4,e0)
      & e0 = op(op(e0,e4),e4) )
    | ~ sP149 ),
    inference(nnf_transformation,[],[f159]) ).

fof(f2554,plain,
    ( ~ spl154_69
    | spl154_154
    | ~ spl154_227 ),
    inference(avatar_split_clause,[],[f880,f2013,f1667,f1275]) ).

fof(f1275,plain,
    ( spl154_69
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_69])]) ).

fof(f880,plain,
    ( e1 != op(e3,e2)
    | e2 = op(e3,e1)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f301]) ).

fof(f301,plain,
    ( ( e1 != unit
      & e2 = op(e3,e1) )
    | e1 != op(e3,e2)
    | ~ sP17 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f2518,plain,
    ( ~ spl154_222
    | ~ spl154_307 ),
    inference(avatar_split_clause,[],[f485,f2498,f1985]) ).

fof(f485,plain,
    ( op(e1,e2) != op(e2,e1)
    | ~ sP148 ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ( ( e1 = op(op(e1,e2),e2)
      & op(e1,e2) != op(e2,e1)
      & e2 != op(op(e1,e2),e1) )
    | ~ sP148 ),
    inference(nnf_transformation,[],[f158]) ).

fof(f2509,plain,
    ( spl154_231
    | ~ spl154_61 ),
    inference(avatar_split_clause,[],[f626,f1239,f2035]) ).

fof(f626,plain,
    ( ~ sP126
    | sP35 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ( ( sP49
      & sP48
      & sP47
      & sP46
      & sP45
      & sP44
      & sP43
      & sP42
      & sP41
      & sP40
      & sP39
      & sP38
      & sP37
      & sP36
      & sP35
      & sP34
      & sP33
      & sP32
      & sP31
      & sP30
      & sP29
      & sP28
      & sP27
      & sP26
      & sP25 )
    | ~ sP126 ),
    inference(nnf_transformation,[],[f136]) ).

fof(f2506,plain,
    ( ~ spl154_308
    | ~ spl154_204 ),
    inference(avatar_split_clause,[],[f528,f1905,f2503]) ).

fof(f528,plain,
    ( ~ sP134
    | e4 != op(op(e2,e4),e2) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ( ( e4 != op(op(e2,e4),e2)
      & op(e2,e4) != op(e4,e2)
      & e2 = op(op(e2,e4),e4) )
    | ~ sP134 ),
    inference(nnf_transformation,[],[f144]) ).

fof(f2483,plain,
    ( ~ spl154_12
    | spl154_87 ),
    inference(avatar_split_clause,[],[f543,f1356,f1023]) ).

fof(f1356,plain,
    ( spl154_87
  <=> sP102 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_87])]) ).

fof(f543,plain,
    ( sP102
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ( ( sP124
      & sP123
      & sP122
      & sP121
      & sP120
      & sP119
      & sP118
      & sP117
      & sP116
      & sP115
      & sP114
      & sP113
      & sP112
      & sP111
      & sP110
      & sP109
      & sP108
      & sP107
      & sP106
      & sP105
      & sP104
      & sP103
      & sP102
      & sP101
      & sP100 )
    | ~ sP129 ),
    inference(nnf_transformation,[],[f139]) ).

fof(f2472,plain,
    ( ~ spl154_168
    | ~ spl154_209 ),
    inference(avatar_split_clause,[],[f474,f1928,f1732]) ).

fof(f474,plain,
    ( ~ sP152
    | op(e0,e2) != op(e2,e0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ( ( op(e0,e2) != op(e2,e0)
      & e2 = op(op(e2,e0),e0)
      & e0 != op(op(e2,e0),e2) )
    | ~ sP152 ),
    inference(nnf_transformation,[],[f162]) ).

fof(f2445,plain,
    ( spl154_90
    | spl154_71
    | spl154_92
    | spl154_66
    | spl154_84 ),
    inference(avatar_split_clause,[],[f929,f1342,f1261,f1378,f1284,f1369]) ).

fof(f929,plain,
    ( e2 = unit
    | e3 = unit
    | e4 = unit
    | e1 = unit
    | e0 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2415,plain,
    ( spl154_295
    | ~ spl154_220 ),
    inference(avatar_split_clause,[],[f477,f1977,f2412]) ).

fof(f477,plain,
    ( ~ sP151
    | e4 = op(op(e4,e2),e2) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ( ( e4 = op(op(e4,e2),e2)
      & op(e2,e4) != op(e4,e2)
      & e2 != op(op(e4,e2),e4) )
    | ~ sP151 ),
    inference(nnf_transformation,[],[f161]) ).

fof(f2398,plain,
    ( ~ spl154_214
    | spl154_239 ),
    inference(avatar_split_clause,[],[f2397,f2079,f1953]) ).

fof(f2397,plain,
    ( e1 = e2
    | ~ sP138 ),
    inference(forward_demodulation,[],[f516,f957]) ).

fof(f516,plain,
    ( ~ sP138
    | e2 = op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ( ( e2 = op(op(e2,e2),e2)
      & op(e2,e2) != op(e2,e2)
      & e2 != op(op(e2,e2),e2) )
    | ~ sP138 ),
    inference(nnf_transformation,[],[f148]) ).

fof(f2378,plain,
    ( spl154_130
    | spl154_24
    | spl154_4
    | spl154_15
    | spl154_122 ),
    inference(avatar_split_clause,[],[f420,f1515,f1036,f989,f1076,f1552]) ).

fof(f420,plain,
    ( e0 = op(e1,e2)
    | e0 = op(e2,e2)
    | e0 = op(e0,e2)
    | e0 = op(e3,e2)
    | e0 = op(e4,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2362,plain,
    ( ~ spl154_12
    | spl154_288 ),
    inference(avatar_split_clause,[],[f555,f2359,f1023]) ).

fof(f555,plain,
    ( sP114
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f2351,plain,
    ( spl154_286
    | ~ spl154_216 ),
    inference(avatar_split_clause,[],[f488,f1961,f2348]) ).

fof(f488,plain,
    ( ~ sP147
    | e2 = op(op(e2,e3),e3) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ( ( e3 != op(op(e2,e3),e2)
      & e2 = op(op(e2,e3),e3)
      & op(e2,e3) != op(e3,e2) )
    | ~ sP147 ),
    inference(nnf_transformation,[],[f157]) ).

fof(f2346,plain,
    ( ~ spl154_285
    | ~ spl154_31 ),
    inference(avatar_split_clause,[],[f503,f1107,f2343]) ).

fof(f503,plain,
    ( ~ sP142
    | op(e0,e3) != op(e3,e0) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ( ( e3 = op(op(e3,e0),e0)
      & op(e0,e3) != op(e3,e0)
      & e0 != op(op(e3,e0),e3) )
    | ~ sP142 ),
    inference(nnf_transformation,[],[f152]) ).

fof(f2317,plain,
    ( ~ spl154_221
    | ~ spl154_113 ),
    inference(avatar_split_clause,[],[f540,f1473,f1981]) ).

fof(f540,plain,
    ( op(e1,e3) != op(e3,e1)
    | ~ sP130 ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ( ( op(e1,e3) != op(e3,e1)
      & e3 != op(op(e1,e3),e1)
      & e1 = op(op(e1,e3),e3) )
    | ~ sP130 ),
    inference(nnf_transformation,[],[f140]) ).

fof(f2293,plain,
    ( ~ spl154_217
    | ~ spl154_277 ),
    inference(avatar_split_clause,[],[f532,f2290,f1965]) ).

fof(f532,plain,
    ( op(e1,e4) != op(e4,e1)
    | ~ sP132 ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ( ( e4 != op(op(e1,e4),e1)
      & e1 = op(op(e1,e4),e4)
      & op(e1,e4) != op(e4,e1) )
    | ~ sP132 ),
    inference(nnf_transformation,[],[f142]) ).

fof(f2279,plain,
    ( ~ spl154_81
    | ~ spl154_274
    | spl154_197 ),
    inference(avatar_split_clause,[],[f896,f1871,f2276,f1328]) ).

fof(f896,plain,
    ( e3 = op(e1,e1)
    | ~ sP9
    | e1 != op(e1,e3) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f309,plain,
    ( e1 != op(e1,e3)
    | ( e1 != unit
      & e3 = op(e1,e1) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f2242,plain,
    spl154_39,
    inference(avatar_split_clause,[],[f959,f1143]) ).

fof(f959,plain,
    e3 = op(e2,e2),
    inference(cnf_transformation,[],[f6]) ).

fof(f2231,plain,
    ( spl154_72
    | ~ spl154_68 ),
    inference(avatar_split_clause,[],[f641,f1271,f1288]) ).

fof(f641,plain,
    ( ~ sP125
    | sP0 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f2230,plain,
    spl154_75,
    inference(avatar_split_clause,[],[f2229,f1302]) ).

fof(f2229,plain,
    e0 = op(e1,e1),
    inference(forward_demodulation,[],[f956,f957]) ).

fof(f956,plain,
    e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f2159,plain,
    ( ~ spl154_73
    | spl154_254 ),
    inference(avatar_split_clause,[],[f521,f2156,f1293]) ).

fof(f521,plain,
    ( e0 = op(op(e0,e2),e2)
    | ~ sP136 ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ( ( e2 != op(op(e0,e2),e0)
      & e0 = op(op(e0,e2),e2)
      & op(e0,e2) != op(e2,e0) )
    | ~ sP136 ),
    inference(nnf_transformation,[],[f146]) ).

fof(f1917,plain,
    ( ~ spl154_114
    | spl154_206 ),
    inference(avatar_split_clause,[],[f501,f1914,f1477]) ).

fof(f501,plain,
    ( e3 = op(op(e3,e1),e1)
    | ~ sP143 ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ( ( e3 = op(op(e3,e1),e1)
      & op(e1,e3) != op(e3,e1)
      & e1 != op(op(e3,e1),e3) )
    | ~ sP143 ),
    inference(nnf_transformation,[],[f153]) ).

fof(f1884,plain,
    ( spl154_76
    | spl154_199
    | spl154_104
    | spl154_140
    | spl154_15 ),
    inference(avatar_split_clause,[],[f442,f1036,f1600,f1431,f1881,f1306]) ).

fof(f442,plain,
    ( e0 = op(e2,e2)
    | e0 = op(e2,e3)
    | e0 = op(e2,e0)
    | e0 = op(e2,e4)
    | e0 = op(e2,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1865,plain,
    ( spl154_195
    | ~ spl154_27 ),
    inference(avatar_split_clause,[],[f508,f1089,f1862]) ).

fof(f508,plain,
    ( ~ sP140
    | e3 = op(op(e3,e2),e2) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ( ( e2 != op(op(e3,e2),e3)
      & op(e2,e3) != op(e3,e2)
      & e3 = op(op(e3,e2),e2) )
    | ~ sP140 ),
    inference(nnf_transformation,[],[f150]) ).

fof(f1797,plain,
    ( spl154_179
    | spl154_180
    | spl154_181
    | spl154_10
    | spl154_118 ),
    inference(avatar_split_clause,[],[f436,f1496,f1014,f1794,f1790,f1786]) ).

fof(f1014,plain,
    ( spl154_10
  <=> e2 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_10])]) ).

fof(f436,plain,
    ( e2 = op(e4,e0)
    | e2 = op(e4,e3)
    | e2 = op(e4,e1)
    | e2 = op(e4,e2)
    | e2 = op(e4,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1784,plain,
    ( spl154_178
    | ~ spl154_68 ),
    inference(avatar_split_clause,[],[f654,f1271,f1781]) ).

fof(f654,plain,
    ( ~ sP125
    | sP13 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1778,plain,
    ( spl154_176
    | ~ spl154_177 ),
    inference(avatar_split_clause,[],[f492,f1775,f1771]) ).

fof(f492,plain,
    ( ~ sP146
    | e2 = op(op(e2,e1),e1) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f172,plain,
    ( ( e2 = op(op(e2,e1),e1)
      & e1 != op(op(e2,e1),e2)
      & op(e1,e2) != op(e2,e1) )
    | ~ sP146 ),
    inference(nnf_transformation,[],[f156]) ).

fof(f1750,plain,
    ( ~ spl154_17
    | spl154_171 ),
    inference(avatar_split_clause,[],[f614,f1747,f1045]) ).

fof(f614,plain,
    ( sP73
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ( ( sP74
      & sP73
      & sP72
      & sP71
      & sP70
      & sP69
      & sP68
      & sP67
      & sP66
      & sP65
      & sP64
      & sP63
      & sP62
      & sP61
      & sP60
      & sP59
      & sP58
      & sP57
      & sP56
      & sP55
      & sP54
      & sP53
      & sP52
      & sP51
      & sP50 )
    | ~ sP127 ),
    inference(nnf_transformation,[],[f137]) ).

fof(f1489,plain,
    ( ~ spl154_115
    | ~ spl154_116 ),
    inference(avatar_split_clause,[],[f471,f1486,f1482]) ).

fof(f471,plain,
    ( ~ sP153
    | op(e0,e4) != op(e4,e0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ( ( op(e0,e4) != op(e4,e0)
      & e4 = op(op(e4,e0),e0)
      & e0 != op(op(e4,e0),e4) )
    | ~ sP153 ),
    inference(nnf_transformation,[],[f163]) ).

fof(f1359,plain,
    ( ~ spl154_87
    | ~ spl154_10
    | spl154_8 ),
    inference(avatar_split_clause,[],[f711,f1006,f1014,f1356]) ).

fof(f711,plain,
    ( e3 = op(e4,e2)
    | e2 != op(e4,e3)
    | ~ sP102 ),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,plain,
    ( ( e3 = op(e4,e2)
      & e2 != unit )
    | e2 != op(e4,e3)
    | ~ sP102 ),
    inference(nnf_transformation,[],[f112]) ).

fof(f1335,plain,
    ( spl154_22
    | spl154_52
    | spl154_80
    | spl154_81
    | spl154_82 ),
    inference(avatar_split_clause,[],[f935,f1332,f1328,f1324,f1200,f1067]) ).

fof(f935,plain,
    ( e3 = op(e1,e3)
    | e1 = op(e1,e3)
    | e4 = op(e1,e3)
    | e2 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1278,plain,
    ( ~ spl154_68
    | spl154_69 ),
    inference(avatar_split_clause,[],[f658,f1275,f1271]) ).

fof(f658,plain,
    ( sP17
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1251,plain,
    ( spl154_63
    | ~ spl154_12 ),
    inference(avatar_split_clause,[],[f565,f1023,f1248]) ).

fof(f565,plain,
    ( ~ sP129
    | sP124 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1237,plain,
    ( ~ spl154_59
    | spl154_60
    | ~ spl154_55 ),
    inference(avatar_split_clause,[],[f904,f1213,f1234,f1230]) ).

fof(f904,plain,
    ( e1 != op(e0,e3)
    | e3 = op(e0,e1)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f313]) ).

fof(f313,plain,
    ( e1 != op(e0,e3)
    | ( e1 != unit
      & e3 = op(e0,e1) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ALG059+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.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 14:51:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.56  % (8458)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.57  % (8474)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.57  % (8456)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.58  % (8466)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.58  % (8472)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.59  % (8464)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.59  % (8464)Instruction limit reached!
% 0.19/0.59  % (8464)------------------------------
% 0.19/0.59  % (8464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (8464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (8464)Termination reason: Unknown
% 0.19/0.60  % (8464)Termination phase: Naming
% 0.19/0.60  
% 0.19/0.60  % (8464)Memory used [KB]: 1535
% 0.19/0.60  % (8464)Time elapsed: 0.004 s
% 0.19/0.60  % (8464)Instructions burned: 4 (million)
% 0.19/0.60  % (8464)------------------------------
% 0.19/0.60  % (8464)------------------------------
% 1.62/0.61  % (8465)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.62/0.62  % (8450)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.62/0.62  % (8452)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.62/0.62  % (8454)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.62/0.62  % (8452)Instruction limit reached!
% 1.62/0.62  % (8452)------------------------------
% 1.62/0.62  % (8452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.63  % (8453)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.92/0.63  % (8455)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.92/0.63  % (8473)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.92/0.63  % (8457)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.92/0.63  % (8456)Instruction limit reached!
% 1.92/0.63  % (8456)------------------------------
% 1.92/0.63  % (8456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.63  % (8456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.63  % (8452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.63  % (8452)Termination reason: Unknown
% 1.92/0.63  % (8452)Termination phase: Unused predicate definition removal
% 1.92/0.63  
% 1.92/0.63  % (8452)Memory used [KB]: 1535
% 1.92/0.63  % (8452)Time elapsed: 0.003 s
% 1.92/0.63  % (8452)Instructions burned: 3 (million)
% 1.92/0.63  % (8452)------------------------------
% 1.92/0.63  % (8452)------------------------------
% 1.92/0.63  % (8456)Termination reason: Unknown
% 1.92/0.63  % (8456)Termination phase: Saturation
% 1.92/0.63  
% 1.92/0.63  % (8456)Memory used [KB]: 7547
% 1.92/0.64  % (8456)Time elapsed: 0.179 s
% 1.92/0.64  % (8456)Instructions burned: 39 (million)
% 1.92/0.64  % (8456)------------------------------
% 1.92/0.64  % (8456)------------------------------
% 1.92/0.64  % (8468)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.92/0.64  % (8463)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.92/0.64  % (8476)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.92/0.64  % (8460)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.92/0.64  % (8470)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.92/0.64  % (8471)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.92/0.64  % (8465)Instruction limit reached!
% 1.92/0.64  % (8465)------------------------------
% 1.92/0.64  % (8465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64  % (8465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64  % (8465)Termination reason: Unknown
% 1.92/0.64  % (8465)Termination phase: Preprocessing 3
% 1.92/0.64  
% 1.92/0.64  % (8465)Memory used [KB]: 1791
% 1.92/0.64  % (8465)Time elapsed: 0.007 s
% 1.92/0.64  % (8465)Instructions burned: 7 (million)
% 1.92/0.64  % (8465)------------------------------
% 1.92/0.64  % (8465)------------------------------
% 1.92/0.64  % (8468)Instruction limit reached!
% 1.92/0.64  % (8468)------------------------------
% 1.92/0.64  % (8468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64  % (8461)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.92/0.65  % (8479)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.92/0.65  % (8468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65  % (8468)Termination reason: Unknown
% 1.92/0.65  % (8468)Termination phase: SInE selection
% 1.92/0.65  
% 1.92/0.65  % (8468)Memory used [KB]: 1535
% 1.92/0.65  % (8468)Time elapsed: 0.004 s
% 1.92/0.65  % (8468)Instructions burned: 3 (million)
% 1.92/0.65  % (8468)------------------------------
% 1.92/0.65  % (8468)------------------------------
% 1.92/0.65  % (8461)Instruction limit reached!
% 1.92/0.65  % (8461)------------------------------
% 1.92/0.65  % (8461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.65  % (8461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65  % (8461)Termination reason: Unknown
% 1.92/0.65  % (8461)Termination phase: Preprocessing 3
% 1.92/0.65  
% 1.92/0.65  % (8461)Memory used [KB]: 1791
% 1.92/0.65  % (8461)Time elapsed: 0.007 s
% 1.92/0.65  % (8461)Instructions burned: 8 (million)
% 1.92/0.65  % (8461)------------------------------
% 1.92/0.65  % (8461)------------------------------
% 1.92/0.65  % (8469)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.92/0.65  % (8477)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.92/0.65  % (8474)Refutation not found, incomplete strategy% (8474)------------------------------
% 1.92/0.65  % (8474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.65  % (8474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65  % (8474)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.65  
% 1.92/0.65  % (8474)Memory used [KB]: 7675
% 1.92/0.65  % (8474)Time elapsed: 0.193 s
% 1.92/0.65  % (8474)Instructions burned: 41 (million)
% 1.92/0.65  % (8474)------------------------------
% 1.92/0.65  % (8474)------------------------------
% 1.92/0.65  % (8454)Instruction limit reached!
% 1.92/0.65  % (8454)------------------------------
% 1.92/0.65  % (8454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.65  % (8454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65  % (8454)Termination reason: Unknown
% 1.92/0.65  % (8454)Termination phase: Clausification
% 1.92/0.65  
% 1.92/0.65  % (8454)Memory used [KB]: 6524
% 1.92/0.65  % (8454)Time elapsed: 0.012 s
% 1.92/0.65  % (8454)Instructions burned: 13 (million)
% 1.92/0.65  % (8454)------------------------------
% 1.92/0.65  % (8454)------------------------------
% 1.92/0.65  % (8478)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.92/0.65  % (8460)Instruction limit reached!
% 1.92/0.65  % (8460)------------------------------
% 1.92/0.65  % (8460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.65  % (8460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65  % (8460)Termination reason: Unknown
% 1.92/0.65  % (8460)Termination phase: Property scanning
% 1.92/0.65  
% 1.92/0.65  % (8460)Memory used [KB]: 1918
% 1.92/0.65  % (8460)Time elapsed: 0.013 s
% 1.92/0.65  % (8460)Instructions burned: 12 (million)
% 1.92/0.65  % (8460)------------------------------
% 1.92/0.65  % (8460)------------------------------
% 1.92/0.66  % (8459)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.92/0.66  % (8478)Instruction limit reached!
% 1.92/0.66  % (8478)------------------------------
% 1.92/0.66  % (8478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66  % (8478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66  % (8478)Termination reason: Unknown
% 1.92/0.66  % (8478)Termination phase: Property scanning
% 1.92/0.66  
% 1.92/0.66  % (8478)Memory used [KB]: 1918
% 1.92/0.66  % (8478)Time elapsed: 0.007 s
% 1.92/0.66  % (8478)Instructions burned: 8 (million)
% 1.92/0.66  % (8478)------------------------------
% 1.92/0.66  % (8478)------------------------------
% 1.92/0.66  % (8455)Instruction limit reached!
% 1.92/0.66  % (8455)------------------------------
% 1.92/0.66  % (8455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66  % (8455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66  % (8455)Termination reason: Unknown
% 1.92/0.66  % (8455)Termination phase: Saturation
% 1.92/0.66  
% 1.92/0.66  % (8455)Memory used [KB]: 1918
% 1.92/0.66  % (8455)Time elapsed: 0.011 s
% 1.92/0.66  % (8455)Instructions burned: 16 (million)
% 1.92/0.66  % (8455)------------------------------
% 1.92/0.66  % (8455)------------------------------
% 1.92/0.66  % (8458)Instruction limit reached!
% 1.92/0.66  % (8458)------------------------------
% 1.92/0.66  % (8458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66  % (8462)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.92/0.66  % (8458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66  % (8458)Termination reason: Unknown
% 1.92/0.66  % (8458)Termination phase: Saturation
% 1.92/0.66  
% 1.92/0.66  % (8458)Memory used [KB]: 7419
% 1.92/0.66  % (8458)Time elapsed: 0.188 s
% 1.92/0.66  % (8458)Instructions burned: 50 (million)
% 1.92/0.66  % (8458)------------------------------
% 1.92/0.66  % (8458)------------------------------
% 2.26/0.66  % (8475)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 2.26/0.67  % (8466)Instruction limit reached!
% 2.26/0.67  % (8466)------------------------------
% 2.26/0.67  % (8466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.67  % (8466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.67  % (8466)Termination reason: Unknown
% 2.26/0.67  % (8466)Termination phase: Saturation
% 2.26/0.67  
% 2.26/0.67  % (8466)Memory used [KB]: 7419
% 2.26/0.67  % (8466)Time elapsed: 0.206 s
% 2.26/0.67  % (8466)Instructions burned: 50 (million)
% 2.26/0.67  % (8466)------------------------------
% 2.26/0.67  % (8466)------------------------------
% 2.26/0.67  % (8451)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 2.26/0.67  % (8469)Instruction limit reached!
% 2.26/0.67  % (8469)------------------------------
% 2.26/0.67  % (8469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.67  % (8469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.67  % (8469)Termination reason: Unknown
% 2.26/0.67  % (8469)Termination phase: Property scanning
% 2.26/0.67  
% 2.26/0.67  % (8469)Memory used [KB]: 1918
% 2.26/0.67  % (8469)Time elapsed: 0.011 s
% 2.26/0.67  % (8469)Instructions burned: 12 (million)
% 2.26/0.67  % (8469)------------------------------
% 2.26/0.67  % (8469)------------------------------
% 2.26/0.68  % (8467)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.26/0.68  % (8462)Instruction limit reached!
% 2.26/0.68  % (8462)------------------------------
% 2.26/0.68  % (8462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.68  % (8462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.68  % (8462)Termination reason: Unknown
% 2.26/0.68  % (8462)Termination phase: Equality proxy
% 2.26/0.68  
% 2.26/0.68  % (8462)Memory used [KB]: 2046
% 2.26/0.68  % (8462)Time elapsed: 0.013 s
% 2.26/0.68  % (8462)Instructions burned: 17 (million)
% 2.26/0.68  % (8462)------------------------------
% 2.26/0.68  % (8462)------------------------------
% 2.26/0.68  % (8467)Instruction limit reached!
% 2.26/0.68  % (8467)------------------------------
% 2.26/0.68  % (8467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.68  % (8467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.68  % (8467)Termination reason: Unknown
% 2.26/0.68  % (8467)Termination phase: Preprocessing 2
% 2.26/0.68  
% 2.26/0.68  % (8467)Memory used [KB]: 1535
% 2.26/0.68  % (8467)Time elapsed: 0.004 s
% 2.26/0.68  % (8467)Instructions burned: 3 (million)
% 2.26/0.68  % (8467)------------------------------
% 2.26/0.68  % (8467)------------------------------
% 2.26/0.69  % (8451)Instruction limit reached!
% 2.26/0.69  % (8451)------------------------------
% 2.26/0.69  % (8451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.69  % (8451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.69  % (8451)Termination reason: Unknown
% 2.26/0.69  % (8451)Termination phase: Property scanning
% 2.26/0.69  
% 2.26/0.69  % (8451)Memory used [KB]: 1918
% 2.26/0.69  % (8451)Time elapsed: 0.011 s
% 2.26/0.69  % (8451)Instructions burned: 14 (million)
% 2.26/0.69  % (8451)------------------------------
% 2.26/0.69  % (8451)------------------------------
% 2.26/0.69  % (8477)Instruction limit reached!
% 2.26/0.69  % (8477)------------------------------
% 2.26/0.69  % (8477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.69  % (8477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.69  % (8477)Termination reason: Unknown
% 2.26/0.69  % (8477)Termination phase: Saturation
% 2.26/0.69  
% 2.26/0.69  % (8477)Memory used [KB]: 7164
% 2.26/0.69  % (8477)Time elapsed: 0.020 s
% 2.26/0.69  % (8477)Instructions burned: 25 (million)
% 2.26/0.69  % (8477)------------------------------
% 2.26/0.69  % (8477)------------------------------
% 2.26/0.71  % (8470)Instruction limit reached!
% 2.26/0.71  % (8470)------------------------------
% 2.26/0.71  % (8470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.71  % (8470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.72  % (8470)Termination reason: Unknown
% 2.26/0.72  % (8470)Termination phase: Saturation
% 2.26/0.72  
% 2.26/0.72  % (8470)Memory used [KB]: 7036
% 2.26/0.72  % (8470)Time elapsed: 0.022 s
% 2.26/0.72  % (8470)Instructions burned: 31 (million)
% 2.26/0.72  % (8470)------------------------------
% 2.26/0.72  % (8470)------------------------------
% 2.26/0.72  % (8479)Instruction limit reached!
% 2.26/0.72  % (8479)------------------------------
% 2.26/0.72  % (8479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.72  % (8479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.72  % (8479)Termination reason: Unknown
% 2.26/0.72  % (8479)Termination phase: Clausification
% 2.26/0.72  
% 2.26/0.72  % (8479)Memory used [KB]: 15735
% 2.26/0.72  % (8479)Time elapsed: 0.025 s
% 2.26/0.72  % (8479)Instructions burned: 24 (million)
% 2.26/0.72  % (8479)------------------------------
% 2.26/0.72  % (8479)------------------------------
% 2.56/0.74  % (8459)Instruction limit reached!
% 2.56/0.74  % (8459)------------------------------
% 2.56/0.74  % (8459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.74  % (8459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.74  % (8459)Termination reason: Unknown
% 2.56/0.74  % (8459)Termination phase: Saturation
% 2.56/0.74  
% 2.56/0.74  % (8459)Memory used [KB]: 7164
% 2.56/0.74  % (8459)Time elapsed: 0.220 s
% 2.56/0.74  % (8459)Instructions burned: 34 (million)
% 2.56/0.74  % (8459)------------------------------
% 2.56/0.74  % (8459)------------------------------
% 2.56/0.74  % (8473)Instruction limit reached!
% 2.56/0.74  % (8473)------------------------------
% 2.56/0.74  % (8473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.74  % (8473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.74  % (8473)Termination reason: Unknown
% 2.56/0.74  % (8473)Termination phase: Saturation
% 2.56/0.74  
% 2.56/0.74  % (8473)Memory used [KB]: 2686
% 2.56/0.74  % (8473)Time elapsed: 0.279 s
% 2.56/0.74  % (8473)Instructions burned: 47 (million)
% 2.56/0.74  % (8473)------------------------------
% 2.56/0.74  % (8473)------------------------------
% 2.56/0.75  % (8457)Instruction limit reached!
% 2.56/0.75  % (8457)------------------------------
% 2.56/0.75  % (8457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.75  % (8457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.75  % (8457)Termination reason: Unknown
% 2.56/0.75  % (8457)Termination phase: Saturation
% 2.56/0.75  
% 2.56/0.75  % (8457)Memory used [KB]: 7419
% 2.56/0.75  % (8457)Time elapsed: 0.289 s
% 2.56/0.75  % (8457)Instructions burned: 39 (million)
% 2.56/0.75  % (8457)------------------------------
% 2.56/0.75  % (8457)------------------------------
% 2.56/0.76  % (8463)Instruction limit reached!
% 2.56/0.76  % (8463)------------------------------
% 2.56/0.76  % (8463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.76  % (8463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.76  % (8463)Termination reason: Unknown
% 2.56/0.76  % (8463)Termination phase: Saturation
% 2.56/0.76  
% 2.56/0.76  % (8463)Memory used [KB]: 7803
% 2.56/0.76  % (8463)Time elapsed: 0.039 s
% 2.56/0.76  % (8463)Instructions burned: 53 (million)
% 2.56/0.76  % (8463)------------------------------
% 2.56/0.76  % (8463)------------------------------
% 2.56/0.77  % (8453)Instruction limit reached!
% 2.56/0.77  % (8453)------------------------------
% 2.56/0.77  % (8453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.77  % (8453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.77  % (8453)Termination reason: Unknown
% 2.56/0.77  % (8453)Termination phase: Saturation
% 2.56/0.77  
% 2.56/0.77  % (8453)Memory used [KB]: 7419
% 2.56/0.77  % (8453)Time elapsed: 0.271 s
% 2.56/0.77  % (8453)Instructions burned: 51 (million)
% 2.56/0.77  % (8453)------------------------------
% 2.56/0.77  % (8453)------------------------------
% 2.56/0.77  % (8500)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.68/0.77  % (8484)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.68/0.78  % (8501)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 2.68/0.79  % (8472)Instruction limit reached!
% 2.68/0.79  % (8472)------------------------------
% 2.68/0.79  % (8472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.79  % (8472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.79  % (8472)Termination reason: Unknown
% 2.68/0.79  % (8472)Termination phase: Clausification
% 2.68/0.79  
% 2.68/0.79  % (8472)Memory used [KB]: 62045
% 2.68/0.79  % (8472)Time elapsed: 0.091 s
% 2.68/0.79  % (8472)Instructions burned: 82 (million)
% 2.68/0.79  % (8472)------------------------------
% 2.68/0.79  % (8472)------------------------------
% 2.68/0.79  % (8491)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.68/0.80  % (8488)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.68/0.80  % (8484)Refutation not found, incomplete strategy% (8484)------------------------------
% 2.68/0.80  % (8484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.80  % (8484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.80  % (8484)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.80  
% 2.68/0.80  % (8484)Memory used [KB]: 6780
% 2.68/0.80  % (8484)Time elapsed: 0.133 s
% 2.68/0.80  % (8484)Instructions burned: 22 (million)
% 2.68/0.80  % (8484)------------------------------
% 2.68/0.80  % (8484)------------------------------
% 2.68/0.80  % (8475)First to succeed.
% 2.68/0.81  % (8499)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.68/0.81  % (8493)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.68/0.82  % (8476)Instruction limit reached!
% 2.68/0.82  % (8476)------------------------------
% 2.68/0.82  % (8476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.82  % (8476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.82  % (8476)Termination reason: Unknown
% 2.68/0.82  % (8476)Termination phase: Saturation
% 2.68/0.82  
% 2.68/0.82  % (8476)Memory used [KB]: 7931
% 2.68/0.82  % (8476)Time elapsed: 0.298 s
% 2.68/0.82  % (8476)Instructions burned: 99 (million)
% 2.68/0.82  % (8476)------------------------------
% 2.68/0.82  % (8476)------------------------------
% 2.68/0.82  % (8498)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.68/0.82  % (8505)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 2.68/0.82  % (8489)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.68/0.82  % (8490)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.68/0.83  % (8504)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/86Mi)
% 2.68/0.83  % (8497)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.68/0.83  % (8487)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.68/0.83  % (8503)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/109Mi)
% 2.85/0.83  % (8487)Instruction limit reached!
% 2.85/0.83  % (8487)------------------------------
% 2.85/0.83  % (8487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.83  % (8487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.83  % (8487)Termination reason: Unknown
% 2.85/0.83  % (8487)Termination phase: Clausification
% 2.85/0.83  
% 2.85/0.83  % (8487)Memory used [KB]: 1791
% 2.85/0.83  % (8487)Time elapsed: 0.005 s
% 2.85/0.83  % (8487)Instructions burned: 9 (million)
% 2.85/0.83  % (8487)------------------------------
% 2.85/0.83  % (8487)------------------------------
% 2.85/0.83  % (8496)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.85/0.83  % (8475)Refutation found. Thanks to Tanya!
% 2.85/0.83  % SZS status Theorem for theBenchmark
% 2.85/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 2.85/0.84  % (8475)------------------------------
% 2.85/0.84  % (8475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.84  % (8475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.84  % (8475)Termination reason: Refutation
% 2.85/0.84  
% 2.85/0.84  % (8475)Memory used [KB]: 8699
% 2.85/0.84  % (8475)Time elapsed: 0.060 s
% 2.85/0.84  % (8475)Instructions burned: 77 (million)
% 2.85/0.84  % (8475)------------------------------
% 2.85/0.84  % (8475)------------------------------
% 2.85/0.84  % (8449)Success in time 0.49 s
%------------------------------------------------------------------------------