%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG121+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 15:39:48 EDT 2022

% Result   : Theorem 2.65s 0.81s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  171
% Syntax   : Number of formulae    :  623 ( 101 unt;   0 def)
%            Number of atoms       : 2837 (1923 equ)
%            Maximal formula atoms :  128 (   4 avg)
%            Number of connectives : 3459 (1245   ~;1431   |; 671   &)
%                                         ( 112 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  156 ( 154 usr; 155 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3383,plain,
    $false,
    inference(avatar_sat_refutation,[],[f860,f945,f1080,f1115,f1169,f1175,f1258,f1273,f1274,f1305,f1377,f1414,f1531,f1558,f1559,f1570,f1608,f1620,f1621,f1622,f1632,f1641,f1649,f1655,f1664,f1681,f1778,f1781,f1797,f1811,f1844,f1847,f1849,f1857,f1863,f1868,f1951,f1956,f1974,f2029,f2049,f2079,f2139,f2146,f2156,f2177,f2203,f2207,f2209,f2216,f2227,f2234,f2243,f2252,f2254,f2264,f2271,f2274,f2279,f2293,f2294,f2300,f2303,f2309,f2310,f2316,f2326,f2334,f2343,f2372,f2379,f2412,f2456,f2463,f2475,f2494,f2505,f2521,f2531,f2564,f2582,f2591,f2597,f2669,f2718,f2720,f2729,f2737,f2743,f2779,f2787,f2816,f2858,f2865,f2867,f2869,f2876,f2894,f2939,f2969,f2972,f2993,f3004,f3022,f3059,f3085,f3119,f3151,f3214,f3232,f3272,f3329,f3341]) ).

fof(f3341,plain,
    ( ~ spl42_1
    | ~ spl42_118
    | spl42_123
    | ~ spl42_168
    | ~ spl42_213 ),
    inference(avatar_contradiction_clause,[],[f3340]) ).

fof(f3340,plain,
    ( $false
    | ~ spl42_1
    | ~ spl42_118
    | spl42_123
    | ~ spl42_168
    | ~ spl42_213 ),
    inference(subsumption_resolution,[],[f3339,f547]) ).

fof(f547,plain,
    ( e23 = op2(e22,e21)
    | ~ spl42_1 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl42_1
  <=> e23 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).

fof(f3339,plain,
    ( e23 != op2(e22,e21)
    | ~ spl42_118
    | spl42_123
    | ~ spl42_168
    | ~ spl42_213 ),
    inference(forward_demodulation,[],[f3338,f469]) ).

fof(f469,plain,
    e23 = h4(e13),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ( op2(op2(e23,e23),op2(e23,e23)) = h4(e11)
    & e23 = h4(e13)
    & op2(e23,e23) = h4(e10)
    & op2(op2(op2(e23,e23),op2(e23,e23)),e23) = h4(e12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f3338,plain,
    ( op2(e22,e21) != h4(e13)
    | ~ spl42_118
    | spl42_123
    | ~ spl42_168
    | ~ spl42_213 ),
    inference(forward_demodulation,[],[f3337,f1526]) ).

fof(f1526,plain,
    ( e13 = op1(e12,e11)
    | ~ spl42_213 ),
    inference(avatar_component_clause,[],[f1524]) ).

fof(f1524,plain,
    ( spl42_213
  <=> e13 = op1(e12,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_213])]) ).

fof(f3337,plain,
    ( op2(e22,e21) != h4(op1(e12,e11))
    | ~ spl42_118
    | spl42_123
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f3336,f1058]) ).

fof(f1058,plain,
    ( e22 = h4(e12)
    | ~ spl42_118 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1057,plain,
    ( spl42_118
  <=> e22 = h4(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_118])]) ).

fof(f3336,plain,
    ( h4(op1(e12,e11)) != op2(h4(e12),e21)
    | spl42_123
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f1079,f1303]) ).

fof(f1303,plain,
    ( e21 = h4(e11)
    | ~ spl42_168 ),
    inference(avatar_component_clause,[],[f1302]) ).

fof(f1302,plain,
    ( spl42_168
  <=> e21 = h4(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_168])]) ).

fof(f1079,plain,
    ( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | spl42_123 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f1077,plain,
    ( spl42_123
  <=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_123])]) ).

fof(f3329,plain,
    ( spl42_121
    | ~ spl42_158
    | ~ spl42_168
    | ~ spl42_211
    | ~ spl42_234 ),
    inference(avatar_contradiction_clause,[],[f3328]) ).

fof(f3328,plain,
    ( $false
    | spl42_121
    | ~ spl42_158
    | ~ spl42_168
    | ~ spl42_211
    | ~ spl42_234 ),
    inference(subsumption_resolution,[],[f3327,f1517]) ).

fof(f1517,plain,
    ( op2(e20,e20) = e21
    | ~ spl42_211 ),
    inference(avatar_component_clause,[],[f1515]) ).

fof(f1515,plain,
    ( spl42_211
  <=> op2(e20,e20) = e21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_211])]) ).

fof(f3327,plain,
    ( op2(e20,e20) != e21
    | spl42_121
    | ~ spl42_158
    | ~ spl42_168
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3326,f1303]) ).

fof(f3326,plain,
    ( op2(e20,e20) != h4(e11)
    | spl42_121
    | ~ spl42_158
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3325,f1252]) ).

fof(f1252,plain,
    ( op1(e10,e10) = e11
    | ~ spl42_158 ),
    inference(avatar_component_clause,[],[f1251]) ).

fof(f1251,plain,
    ( spl42_158
  <=> op1(e10,e10) = e11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_158])]) ).

fof(f3325,plain,
    ( op2(e20,e20) != h4(op1(e10,e10))
    | spl42_121
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f1071,f1662]) ).

fof(f1662,plain,
    ( e20 = h4(e10)
    | ~ spl42_234 ),
    inference(avatar_component_clause,[],[f1661]) ).

fof(f1661,plain,
    ( spl42_234
  <=> e20 = h4(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_234])]) ).

fof(f1071,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | spl42_121 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1069,plain,
    ( spl42_121
  <=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_121])]) ).

fof(f3272,plain,
    ( ~ spl42_75
    | spl42_119
    | ~ spl42_168
    | ~ spl42_178 ),
    inference(avatar_contradiction_clause,[],[f3271]) ).

fof(f3271,plain,
    ( $false
    | ~ spl42_75
    | spl42_119
    | ~ spl42_168
    | ~ spl42_178 ),
    inference(subsumption_resolution,[],[f3270,f1354]) ).

fof(f1354,plain,
    ( e21 = op2(e21,e21)
    | ~ spl42_178 ),
    inference(avatar_component_clause,[],[f1352]) ).

fof(f1352,plain,
    ( spl42_178
  <=> e21 = op2(e21,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).

fof(f3270,plain,
    ( e21 != op2(e21,e21)
    | ~ spl42_75
    | spl42_119
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f3269,f1303]) ).

fof(f3269,plain,
    ( op2(e21,e21) != h4(e11)
    | ~ spl42_75
    | spl42_119
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f3268,f863]) ).

fof(f863,plain,
    ( e11 = op1(e11,e11)
    | ~ spl42_75 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f862,plain,
    ( spl42_75
  <=> e11 = op1(e11,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_75])]) ).

fof(f3268,plain,
    ( op2(e21,e21) != h4(op1(e11,e11))
    | spl42_119
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f1063,f1303]) ).

fof(f1063,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | spl42_119 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1061,plain,
    ( spl42_119
  <=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_119])]) ).

fof(f3232,plain,
    ( ~ spl42_66
    | spl42_115
    | ~ spl42_168
    | ~ spl42_188
    | ~ spl42_234 ),
    inference(avatar_contradiction_clause,[],[f3231]) ).

fof(f3231,plain,
    ( $false
    | ~ spl42_66
    | spl42_115
    | ~ spl42_168
    | ~ spl42_188
    | ~ spl42_234 ),
    inference(subsumption_resolution,[],[f3230,f822]) ).

fof(f822,plain,
    ( e20 = op2(e21,e20)
    | ~ spl42_66 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f820,plain,
    ( spl42_66
  <=> e20 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_66])]) ).

fof(f3230,plain,
    ( e20 != op2(e21,e20)
    | spl42_115
    | ~ spl42_168
    | ~ spl42_188
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3229,f1662]) ).

fof(f3229,plain,
    ( op2(e21,e20) != h4(e10)
    | spl42_115
    | ~ spl42_168
    | ~ spl42_188
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3228,f1405]) ).

fof(f1405,plain,
    ( e10 = op1(e11,e10)
    | ~ spl42_188 ),
    inference(avatar_component_clause,[],[f1403]) ).

fof(f1403,plain,
    ( spl42_188
  <=> e10 = op1(e11,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_188])]) ).

fof(f3228,plain,
    ( op2(e21,e20) != h4(op1(e11,e10))
    | spl42_115
    | ~ spl42_168
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3227,f1303]) ).

fof(f3227,plain,
    ( h4(op1(e11,e10)) != op2(h4(e11),e20)
    | spl42_115
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f1047,f1662]) ).

fof(f1047,plain,
    ( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | spl42_115 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1045,plain,
    ( spl42_115
  <=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_115])]) ).

fof(f3214,plain,
    ( spl42_122
    | ~ spl42_132
    | ~ spl42_199
    | ~ spl42_234 ),
    inference(avatar_contradiction_clause,[],[f3213]) ).

fof(f3213,plain,
    ( $false
    | spl42_122
    | ~ spl42_132
    | ~ spl42_199
    | ~ spl42_234 ),
    inference(subsumption_resolution,[],[f3212,f1459]) ).

fof(f1459,plain,
    ( e23 = op2(e20,e23)
    | ~ spl42_199 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f1457,plain,
    ( spl42_199
  <=> e23 = op2(e20,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_199])]) ).

fof(f3212,plain,
    ( e23 != op2(e20,e23)
    | spl42_122
    | ~ spl42_132
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3211,f469]) ).

fof(f3211,plain,
    ( op2(e20,e23) != h4(e13)
    | spl42_122
    | ~ spl42_132
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3210,f1119]) ).

fof(f1119,plain,
    ( e13 = op1(e10,e13)
    | ~ spl42_132 ),
    inference(avatar_component_clause,[],[f1117]) ).

fof(f1117,plain,
    ( spl42_132
  <=> e13 = op1(e10,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_132])]) ).

fof(f3210,plain,
    ( op2(e20,e23) != h4(op1(e10,e13))
    | spl42_122
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3209,f1662]) ).

fof(f3209,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),e23)
    | spl42_122 ),
    inference(forward_demodulation,[],[f1075,f469]) ).

fof(f1075,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | spl42_122 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1073,plain,
    ( spl42_122
  <=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_122])]) ).

fof(f3151,plain,
    ( ~ spl42_77
    | ~ spl42_118
    | spl42_120
    | ~ spl42_163
    | ~ spl42_234 ),
    inference(avatar_contradiction_clause,[],[f3150]) ).

fof(f3150,plain,
    ( $false
    | ~ spl42_77
    | ~ spl42_118
    | spl42_120
    | ~ spl42_163
    | ~ spl42_234 ),
    inference(subsumption_resolution,[],[f3149,f1278]) ).

fof(f1278,plain,
    ( e22 = op2(e20,e22)
    | ~ spl42_163 ),
    inference(avatar_component_clause,[],[f1276]) ).

fof(f1276,plain,
    ( spl42_163
  <=> e22 = op2(e20,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_163])]) ).

fof(f3149,plain,
    ( e22 != op2(e20,e22)
    | ~ spl42_77
    | ~ spl42_118
    | spl42_120
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3148,f1058]) ).

fof(f3148,plain,
    ( op2(e20,e22) != h4(e12)
    | ~ spl42_77
    | ~ spl42_118
    | spl42_120
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3147,f873]) ).

fof(f873,plain,
    ( e12 = op1(e10,e12)
    | ~ spl42_77 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f871,plain,
    ( spl42_77
  <=> e12 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_77])]) ).

fof(f3147,plain,
    ( op2(e20,e22) != h4(op1(e10,e12))
    | ~ spl42_118
    | spl42_120
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f3146,f1662]) ).

fof(f3146,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),e22)
    | ~ spl42_118
    | spl42_120 ),
    inference(forward_demodulation,[],[f1067,f1058]) ).

fof(f1067,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | spl42_120 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1065,plain,
    ( spl42_120
  <=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_120])]) ).

fof(f3119,plain,
    ( spl42_117
    | ~ spl42_118
    | ~ spl42_162
    | ~ spl42_168
    | ~ spl42_201 ),
    inference(avatar_contradiction_clause,[],[f3118]) ).

fof(f3118,plain,
    ( $false
    | spl42_117
    | ~ spl42_118
    | ~ spl42_162
    | ~ spl42_168
    | ~ spl42_201 ),
    inference(subsumption_resolution,[],[f3117,f1272]) ).

fof(f1272,plain,
    ( e23 = op2(e21,e22)
    | ~ spl42_162 ),
    inference(avatar_component_clause,[],[f1270]) ).

fof(f1270,plain,
    ( spl42_162
  <=> e23 = op2(e21,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_162])]) ).

fof(f3117,plain,
    ( e23 != op2(e21,e22)
    | spl42_117
    | ~ spl42_118
    | ~ spl42_168
    | ~ spl42_201 ),
    inference(forward_demodulation,[],[f3116,f469]) ).

fof(f3116,plain,
    ( op2(e21,e22) != h4(e13)
    | spl42_117
    | ~ spl42_118
    | ~ spl42_168
    | ~ spl42_201 ),
    inference(forward_demodulation,[],[f3115,f1470]) ).

fof(f1470,plain,
    ( e13 = op1(e11,e12)
    | ~ spl42_201 ),
    inference(avatar_component_clause,[],[f1468]) ).

fof(f1468,plain,
    ( spl42_201
  <=> e13 = op1(e11,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_201])]) ).

fof(f3115,plain,
    ( op2(e21,e22) != h4(op1(e11,e12))
    | spl42_117
    | ~ spl42_118
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f3114,f1303]) ).

fof(f3114,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),e22)
    | spl42_117
    | ~ spl42_118 ),
    inference(forward_demodulation,[],[f1055,f1058]) ).

fof(f1055,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | spl42_117 ),
    inference(avatar_component_clause,[],[f1053]) ).

fof(f1053,plain,
    ( spl42_117
  <=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_117])]) ).

fof(f3085,plain,
    ( ~ spl42_72
    | spl42_111
    | ~ spl42_118
    | ~ spl42_146
    | ~ spl42_168 ),
    inference(avatar_contradiction_clause,[],[f3084]) ).

fof(f3084,plain,
    ( $false
    | ~ spl42_72
    | spl42_111
    | ~ spl42_118
    | ~ spl42_146
    | ~ spl42_168 ),
    inference(subsumption_resolution,[],[f3083,f850]) ).

fof(f850,plain,
    ( e21 = op2(e22,e23)
    | ~ spl42_72 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f848,plain,
    ( spl42_72
  <=> e21 = op2(e22,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_72])]) ).

fof(f3083,plain,
    ( e21 != op2(e22,e23)
    | spl42_111
    | ~ spl42_118
    | ~ spl42_146
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f3082,f1303]) ).

fof(f3082,plain,
    ( op2(e22,e23) != h4(e11)
    | spl42_111
    | ~ spl42_118
    | ~ spl42_146 ),
    inference(forward_demodulation,[],[f3081,f1188]) ).

fof(f1188,plain,
    ( e11 = op1(e12,e13)
    | ~ spl42_146 ),
    inference(avatar_component_clause,[],[f1186]) ).

fof(f1186,plain,
    ( spl42_146
  <=> e11 = op1(e12,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_146])]) ).

fof(f3081,plain,
    ( op2(e22,e23) != h4(op1(e12,e13))
    | spl42_111
    | ~ spl42_118 ),
    inference(forward_demodulation,[],[f3080,f1058]) ).

fof(f3080,plain,
    ( h4(op1(e12,e13)) != op2(h4(e12),e23)
    | spl42_111 ),
    inference(forward_demodulation,[],[f1031,f469]) ).

fof(f1031,plain,
    ( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | spl42_111 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f1029,plain,
    ( spl42_111
  <=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_111])]) ).

fof(f3059,plain,
    ( ~ spl42_125
    | spl42_110
    | ~ spl42_118
    | ~ spl42_155
    | ~ spl42_168 ),
    inference(avatar_split_clause,[],[f3058,f1302,f1236,f1057,f1025,f1087]) ).

fof(f1087,plain,
    ( spl42_125
  <=> e22 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_125])]) ).

fof(f1025,plain,
    ( spl42_110
  <=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_110])]) ).

fof(f1236,plain,
    ( spl42_155
  <=> e12 = op1(e13,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_155])]) ).

fof(f3058,plain,
    ( e22 != op2(e23,e21)
    | spl42_110
    | ~ spl42_118
    | ~ spl42_155
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f3057,f1058]) ).

fof(f3057,plain,
    ( op2(e23,e21) != h4(e12)
    | spl42_110
    | ~ spl42_155
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f3056,f1238]) ).

fof(f1238,plain,
    ( e12 = op1(e13,e11)
    | ~ spl42_155 ),
    inference(avatar_component_clause,[],[f1236]) ).

fof(f3056,plain,
    ( op2(e23,e21) != h4(op1(e13,e11))
    | spl42_110
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f3055,f469]) ).

fof(f3055,plain,
    ( h4(op1(e13,e11)) != op2(h4(e13),e21)
    | spl42_110
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f1027,f1303]) ).

fof(f1027,plain,
    ( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | spl42_110 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f3022,plain,
    ( ~ spl42_64
    | spl42_109
    | ~ spl42_118
    | ~ spl42_168
    | ~ spl42_171 ),
    inference(avatar_contradiction_clause,[],[f3021]) ).

fof(f3021,plain,
    ( $false
    | ~ spl42_64
    | spl42_109
    | ~ spl42_118
    | ~ spl42_168
    | ~ spl42_171 ),
    inference(subsumption_resolution,[],[f3020,f813]) ).

fof(f813,plain,
    ( e21 = op2(e23,e22)
    | ~ spl42_64 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f811,plain,
    ( spl42_64
  <=> e21 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_64])]) ).

fof(f3020,plain,
    ( e21 != op2(e23,e22)
    | spl42_109
    | ~ spl42_118
    | ~ spl42_168
    | ~ spl42_171 ),
    inference(forward_demodulation,[],[f3019,f1303]) ).

fof(f3019,plain,
    ( op2(e23,e22) != h4(e11)
    | spl42_109
    | ~ spl42_118
    | ~ spl42_171 ),
    inference(forward_demodulation,[],[f3018,f1318]) ).

fof(f1318,plain,
    ( e11 = op1(e13,e12)
    | ~ spl42_171 ),
    inference(avatar_component_clause,[],[f1316]) ).

fof(f1316,plain,
    ( spl42_171
  <=> e11 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_171])]) ).

fof(f3018,plain,
    ( op2(e23,e22) != h4(op1(e13,e12))
    | spl42_109
    | ~ spl42_118 ),
    inference(forward_demodulation,[],[f3017,f469]) ).

fof(f3017,plain,
    ( h4(op1(e13,e12)) != op2(h4(e13),e22)
    | spl42_109
    | ~ spl42_118 ),
    inference(forward_demodulation,[],[f1023,f1058]) ).

fof(f1023,plain,
    ( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | spl42_109 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1021,plain,
    ( spl42_109
  <=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_109])]) ).

fof(f3004,plain,
    ( ~ spl42_149
    | ~ spl42_228 ),
    inference(avatar_contradiction_clause,[],[f3003]) ).

fof(f3003,plain,
    ( $false
    | ~ spl42_149
    | ~ spl42_228 ),
    inference(subsumption_resolution,[],[f3002,f541]) ).

fof(f541,plain,
    e20 != e22,
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ( e21 != e23
    & e21 != e22
    & e20 != e22
    & e22 != e23
    & e20 != e23
    & e20 != e21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f3002,plain,
    ( e20 = e22
    | ~ spl42_149
    | ~ spl42_228 ),
    inference(forward_demodulation,[],[f1612,f1206]) ).

fof(f1206,plain,
    ( e20 = op2(e20,e21)
    | ~ spl42_149 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f1204,plain,
    ( spl42_149
  <=> e20 = op2(e20,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_149])]) ).

fof(f1612,plain,
    ( e22 = op2(e20,e21)
    | ~ spl42_228 ),
    inference(avatar_component_clause,[],[f1610]) ).

fof(f1610,plain,
    ( spl42_228
  <=> e22 = op2(e20,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_228])]) ).

fof(f2993,plain,
    ( ~ spl42_56
    | ~ spl42_149 ),
    inference(avatar_split_clause,[],[f2992,f1204,f774]) ).

fof(f774,plain,
    ( spl42_56
  <=> e20 = op2(e20,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_56])]) ).

fof(f2992,plain,
    ( e20 != op2(e20,e22)
    | ~ spl42_149 ),
    inference(forward_demodulation,[],[f137,f1206]) ).

fof(f137,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( op2(e22,e21) != op2(e22,e22)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e23,e22) != op2(e23,e23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f2972,plain,
    ( ~ spl42_180
    | ~ spl42_150 ),
    inference(avatar_split_clause,[],[f2971,f1209,f1361]) ).

fof(f1361,plain,
    ( spl42_180
  <=> e21 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_180])]) ).

fof(f1209,plain,
    ( spl42_150
  <=> e21 = h2(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_150])]) ).

fof(f2971,plain,
    ( e21 != op2(e23,e21)
    | ~ spl42_150 ),
    inference(forward_demodulation,[],[f2189,f1210]) ).

fof(f1210,plain,
    ( e21 = h2(e10)
    | ~ spl42_150 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f2189,plain,
    op2(e23,e21) != h2(e10),
    inference(forward_demodulation,[],[f156,f127]) ).

fof(f127,plain,
    op2(e21,e21) = h2(e10),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ( op2(e21,e21) = h2(e10)
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),e21)
    & e21 = h2(e13)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f156,plain,
    op2(e21,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2969,plain,
    ( ~ spl42_161
    | ~ spl42_199 ),
    inference(avatar_split_clause,[],[f2968,f1457,f1266]) ).

fof(f1266,plain,
    ( spl42_161
  <=> e23 = op2(e20,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_161])]) ).

fof(f2968,plain,
    ( e23 != op2(e20,e22)
    | ~ spl42_199 ),
    inference(forward_demodulation,[],[f153,f1459]) ).

fof(f153,plain,
    op2(e20,e22) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2939,plain,
    ( ~ spl42_55
    | ~ spl42_93
    | spl42_108
    | ~ spl42_118
    | ~ spl42_234 ),
    inference(avatar_contradiction_clause,[],[f2938]) ).

fof(f2938,plain,
    ( $false
    | ~ spl42_55
    | ~ spl42_93
    | spl42_108
    | ~ spl42_118
    | ~ spl42_234 ),
    inference(subsumption_resolution,[],[f2937,f772]) ).

fof(f772,plain,
    ( e20 = op2(e22,e22)
    | ~ spl42_55 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl42_55
  <=> e20 = op2(e22,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_55])]) ).

fof(f2937,plain,
    ( e20 != op2(e22,e22)
    | ~ spl42_93
    | spl42_108
    | ~ spl42_118
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f2936,f1662]) ).

fof(f2936,plain,
    ( op2(e22,e22) != h4(e10)
    | ~ spl42_93
    | spl42_108
    | ~ spl42_118 ),
    inference(forward_demodulation,[],[f2935,f949]) ).

fof(f949,plain,
    ( e10 = op1(e12,e12)
    | ~ spl42_93 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f947,plain,
    ( spl42_93
  <=> e10 = op1(e12,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_93])]) ).

fof(f2935,plain,
    ( op2(e22,e22) != h4(op1(e12,e12))
    | spl42_108
    | ~ spl42_118 ),
    inference(forward_demodulation,[],[f1019,f1058]) ).

fof(f1019,plain,
    ( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | spl42_108 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1017,plain,
    ( spl42_108
  <=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_108])]) ).

fof(f2894,plain,
    ( ~ spl42_219
    | ~ spl42_171 ),
    inference(avatar_split_clause,[],[f2893,f1316,f1563]) ).

fof(f1563,plain,
    ( spl42_219
  <=> e11 = op1(e13,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_219])]) ).

fof(f2893,plain,
    ( e11 != op1(e13,e11)
    | ~ spl42_171 ),
    inference(forward_demodulation,[],[f512,f1318]) ).

fof(f512,plain,
    op1(e13,e11) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( op1(e10,e12) != op1(e13,e12)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e13,e12) != op1(e13,e13)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f2876,plain,
    ( ~ spl42_172
    | ~ spl42_158 ),
    inference(avatar_split_clause,[],[f2875,f1251,f1320]) ).

fof(f1320,plain,
    ( spl42_172
  <=> e11 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_172])]) ).

fof(f2875,plain,
    ( e11 != op1(e10,e12)
    | ~ spl42_158 ),
    inference(backward_demodulation,[],[f507,f1252]) ).

fof(f507,plain,
    op1(e10,e10) != op1(e10,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2869,plain,
    ( ~ spl42_170
    | ~ spl42_171 ),
    inference(avatar_split_clause,[],[f2868,f1316,f1312]) ).

fof(f1312,plain,
    ( spl42_170
  <=> e11 = op1(e12,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_170])]) ).

fof(f2868,plain,
    ( e11 != op1(e12,e12)
    | ~ spl42_171 ),
    inference(forward_demodulation,[],[f531,f1318]) ).

fof(f531,plain,
    op1(e12,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2867,plain,
    ( ~ spl42_145
    | ~ spl42_132 ),
    inference(avatar_split_clause,[],[f2866,f1117,f1182]) ).

fof(f1182,plain,
    ( spl42_145
  <=> e13 = op1(e12,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_145])]) ).

fof(f2866,plain,
    ( e13 != op1(e12,e13)
    | ~ spl42_132 ),
    inference(backward_demodulation,[],[f517,f1119]) ).

fof(f517,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2865,plain,
    ( spl42_107
    | ~ spl42_141
    | ~ spl42_185
    | ~ spl42_234 ),
    inference(avatar_contradiction_clause,[],[f2864]) ).

fof(f2864,plain,
    ( $false
    | spl42_107
    | ~ spl42_141
    | ~ spl42_185
    | ~ spl42_234 ),
    inference(subsumption_resolution,[],[f2863,f1164]) ).

fof(f1164,plain,
    ( e23 = op2(e23,e20)
    | ~ spl42_141 ),
    inference(avatar_component_clause,[],[f1162]) ).

fof(f1162,plain,
    ( spl42_141
  <=> e23 = op2(e23,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_141])]) ).

fof(f2863,plain,
    ( e23 != op2(e23,e20)
    | spl42_107
    | ~ spl42_185
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f2862,f469]) ).

fof(f2862,plain,
    ( op2(e23,e20) != h4(e13)
    | spl42_107
    | ~ spl42_185
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f2861,f1390]) ).

fof(f1390,plain,
    ( e13 = op1(e13,e10)
    | ~ spl42_185 ),
    inference(avatar_component_clause,[],[f1388]) ).

fof(f1388,plain,
    ( spl42_185
  <=> e13 = op1(e13,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_185])]) ).

fof(f2861,plain,
    ( op2(e23,e20) != h4(op1(e13,e10))
    | spl42_107
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f2860,f469]) ).

fof(f2860,plain,
    ( h4(op1(e13,e10)) != op2(h4(e13),e20)
    | spl42_107
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f1015,f1662]) ).

fof(f1015,plain,
    ( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | spl42_107 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f1013,plain,
    ( spl42_107
  <=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_107])]) ).

fof(f2858,plain,
    ( ~ spl42_131
    | ~ spl42_185 ),
    inference(avatar_split_clause,[],[f2437,f1388,f1112]) ).

fof(f1112,plain,
    ( spl42_131
  <=> e13 = op1(e12,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_131])]) ).

fof(f2437,plain,
    ( e13 != op1(e12,e10)
    | ~ spl42_185 ),
    inference(forward_demodulation,[],[f511,f1390]) ).

fof(f511,plain,
    op1(e12,e10) != op1(e13,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2816,plain,
    ( ~ spl42_188
    | ~ spl42_128 ),
    inference(avatar_split_clause,[],[f2815,f1100,f1403]) ).

fof(f1100,plain,
    ( spl42_128
  <=> e10 = op1(e12,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_128])]) ).

fof(f2815,plain,
    ( e10 != op1(e11,e10)
    | ~ spl42_128 ),
    inference(forward_demodulation,[],[f508,f1102]) ).

fof(f1102,plain,
    ( e10 = op1(e12,e10)
    | ~ spl42_128 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f508,plain,
    op1(e11,e10) != op1(e12,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2787,plain,
    ( spl42_158
    | ~ spl42_101 ),
    inference(avatar_split_clause,[],[f2405,f985,f1251]) ).

fof(f985,plain,
    ( spl42_101
  <=> e10 = op1(e13,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_101])]) ).

fof(f2405,plain,
    ( op1(e10,e10) = e11
    | ~ spl42_101 ),
    inference(backward_demodulation,[],[f537,f987]) ).

fof(f987,plain,
    ( e10 = op1(e13,e13)
    | ~ spl42_101 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f537,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ( e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    & e10 = op1(e13,e13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f2779,plain,
    ( ~ spl42_67
    | ~ spl42_159 ),
    inference(avatar_split_clause,[],[f2778,f1255,f825]) ).

fof(f825,plain,
    ( spl42_67
  <=> e10 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_67])]) ).

fof(f1255,plain,
    ( spl42_159
  <=> e10 = op1(e10,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_159])]) ).

fof(f2778,plain,
    ( e10 != op1(e10,e12)
    | ~ spl42_159 ),
    inference(forward_demodulation,[],[f499,f1257]) ).

fof(f1257,plain,
    ( e10 = op1(e10,e11)
    | ~ spl42_159 ),
    inference(avatar_component_clause,[],[f1255]) ).

fof(f499,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2743,plain,
    ( spl42_106
    | ~ spl42_118
    | ~ spl42_130
    | ~ spl42_217
    | ~ spl42_234 ),
    inference(avatar_contradiction_clause,[],[f2742]) ).

fof(f2742,plain,
    ( $false
    | spl42_106
    | ~ spl42_118
    | ~ spl42_130
    | ~ spl42_217
    | ~ spl42_234 ),
    inference(subsumption_resolution,[],[f2741,f1551]) ).

fof(f1551,plain,
    ( e22 = op2(e22,e20)
    | ~ spl42_217 ),
    inference(avatar_component_clause,[],[f1549]) ).

fof(f1549,plain,
    ( spl42_217
  <=> e22 = op2(e22,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_217])]) ).

fof(f2741,plain,
    ( e22 != op2(e22,e20)
    | spl42_106
    | ~ spl42_118
    | ~ spl42_130
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f2740,f1058]) ).

fof(f2740,plain,
    ( op2(e22,e20) != h4(e12)
    | spl42_106
    | ~ spl42_118
    | ~ spl42_130
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f2739,f1110]) ).

fof(f1110,plain,
    ( e12 = op1(e12,e10)
    | ~ spl42_130 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f1108,plain,
    ( spl42_130
  <=> e12 = op1(e12,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_130])]) ).

fof(f2739,plain,
    ( op2(e22,e20) != h4(op1(e12,e10))
    | spl42_106
    | ~ spl42_118
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f2738,f1058]) ).

fof(f2738,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),e20)
    | spl42_106
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f1011,f1662]) ).

fof(f1011,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | spl42_106 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1009,plain,
    ( spl42_106
  <=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_106])]) ).

fof(f2737,plain,
    ( ~ spl42_60
    | ~ spl42_30 ),
    inference(avatar_split_clause,[],[f2731,f665,f794]) ).

fof(f794,plain,
    ( spl42_60
  <=> e21 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_60])]) ).

fof(f665,plain,
    ( spl42_30
  <=> e21 = h1(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_30])]) ).

fof(f2731,plain,
    ( e21 != op2(e21,e20)
    | ~ spl42_30 ),
    inference(backward_demodulation,[],[f2086,f666]) ).

fof(f666,plain,
    ( e21 = h1(e10)
    | ~ spl42_30 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f2086,plain,
    op2(e21,e20) != h1(e10),
    inference(backward_demodulation,[],[f147,f431]) ).

fof(f431,plain,
    op2(e20,e20) = h1(e10),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ( e20 = h1(e13)
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & op2(e20,e20) = h1(e10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f147,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f2729,plain,
    ( spl42_211
    | ~ spl42_234 ),
    inference(avatar_split_clause,[],[f2588,f1661,f1515]) ).

fof(f2588,plain,
    ( op2(e20,e20) = e21
    | ~ spl42_234 ),
    inference(backward_demodulation,[],[f1830,f1662]) ).

fof(f1830,plain,
    e21 = op2(h4(e10),h4(e10)),
    inference(backward_demodulation,[],[f321,f468]) ).

fof(f468,plain,
    op2(e23,e23) = h4(e10),
    inference(cnf_transformation,[],[f17]) ).

fof(f321,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ( e20 = op2(e23,e23)
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f2720,plain,
    ( ~ spl42_256
    | ~ spl42_158 ),
    inference(avatar_split_clause,[],[f2719,f1251,f1775]) ).

fof(f1775,plain,
    ( spl42_256
  <=> e11 = op1(e10,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_256])]) ).

fof(f2719,plain,
    ( e11 != op1(e10,e13)
    | ~ spl42_158 ),
    inference(forward_demodulation,[],[f501,f1252]) ).

fof(f501,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2718,plain,
    ( ~ spl42_102
    | ~ spl42_101 ),
    inference(avatar_split_clause,[],[f2717,f985,f989]) ).

fof(f989,plain,
    ( spl42_102
  <=> e10 = op1(e10,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_102])]) ).

fof(f2717,plain,
    ( e10 != op1(e10,e13)
    | ~ spl42_101 ),
    inference(forward_demodulation,[],[f491,f987]) ).

fof(f491,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2669,plain,
    ( ~ spl42_101
    | spl42_112
    | ~ spl42_142
    | ~ spl42_234 ),
    inference(avatar_contradiction_clause,[],[f2668]) ).

fof(f2668,plain,
    ( $false
    | ~ spl42_101
    | spl42_112
    | ~ spl42_142
    | ~ spl42_234 ),
    inference(subsumption_resolution,[],[f2667,f1167]) ).

fof(f1167,plain,
    ( e20 = op2(e23,e23)
    | ~ spl42_142 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f1166,plain,
    ( spl42_142
  <=> e20 = op2(e23,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_142])]) ).

fof(f2667,plain,
    ( e20 != op2(e23,e23)
    | ~ spl42_101
    | spl42_112
    | ~ spl42_234 ),
    inference(forward_demodulation,[],[f2666,f1662]) ).

fof(f2666,plain,
    ( op2(e23,e23) != h4(e10)
    | ~ spl42_101
    | spl42_112 ),
    inference(forward_demodulation,[],[f2665,f987]) ).

fof(f2665,plain,
    ( op2(e23,e23) != h4(op1(e13,e13))
    | spl42_112 ),
    inference(forward_demodulation,[],[f1035,f469]) ).

fof(f1035,plain,
    ( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | spl42_112 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1033,plain,
    ( spl42_112
  <=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_112])]) ).

fof(f2597,plain,
    ( ~ spl42_259
    | ~ spl42_146 ),
    inference(avatar_split_clause,[],[f2596,f1186,f1794]) ).

fof(f1794,plain,
    ( spl42_259
  <=> e11 = op1(e12,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_259])]) ).

fof(f2596,plain,
    ( e11 != op1(e12,e11)
    | ~ spl42_146 ),
    inference(forward_demodulation,[],[f492,f1188]) ).

fof(f492,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2591,plain,
    ( spl42_116
    | ~ spl42_149
    | ~ spl42_159
    | ~ spl42_168
    | ~ spl42_234 ),
    inference(avatar_contradiction_clause,[],[f2590]) ).

fof(f2590,plain,
    ( $false
    | spl42_116
    | ~ spl42_149
    | ~ spl42_159
    | ~ spl42_168
    | ~ spl42_234 ),
    inference(subsumption_resolution,[],[f2589,f1206]) ).

fof(f2589,plain,
    ( e20 != op2(e20,e21)
    | spl42_116
    | ~ spl42_159
    | ~ spl42_168
    | ~ spl42_234 ),
    inference(backward_demodulation,[],[f2502,f1662]) ).

fof(f2502,plain,
    ( h4(e10) != op2(h4(e10),e21)
    | spl42_116
    | ~ spl42_159
    | ~ spl42_168 ),
    inference(backward_demodulation,[],[f2442,f1257]) ).

fof(f2442,plain,
    ( h4(op1(e10,e11)) != op2(h4(e10),e21)
    | spl42_116
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f1051,f1303]) ).

fof(f1051,plain,
    ( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | spl42_116 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1049,plain,
    ( spl42_116
  <=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_116])]) ).

fof(f2582,plain,
    ( ~ spl42_139
    | ~ spl42_64 ),
    inference(avatar_split_clause,[],[f2581,f811,f1152]) ).

fof(f1152,plain,
    ( spl42_139
  <=> e21 = h3(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_139])]) ).

fof(f2581,plain,
    ( e21 != h3(e10)
    | ~ spl42_64 ),
    inference(forward_demodulation,[],[f1972,f813]) ).

fof(f1972,plain,
    op2(e23,e22) != h3(e10),
    inference(backward_demodulation,[],[f157,f424]) ).

fof(f424,plain,
    op2(e22,e22) = h3(e10),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ( op2(e22,e22) = h3(e10)
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22)
    & e22 = h3(e13)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f157,plain,
    op2(e22,e22) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2564,plain,
    ( spl42_139
    | ~ spl42_63 ),
    inference(avatar_split_clause,[],[f2563,f807,f1152]) ).

fof(f807,plain,
    ( spl42_63
  <=> e21 = op2(e22,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_63])]) ).

fof(f2563,plain,
    ( e21 = h3(e10)
    | ~ spl42_63 ),
    inference(forward_demodulation,[],[f424,f809]) ).

fof(f809,plain,
    ( e21 = op2(e22,e22)
    | ~ spl42_63 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f2531,plain,
    ( ~ spl42_158
    | ~ spl42_190 ),
    inference(avatar_split_clause,[],[f2530,f1411,f1251]) ).

fof(f1411,plain,
    ( spl42_190
  <=> e11 = op1(e11,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_190])]) ).

fof(f2530,plain,
    ( op1(e10,e10) != e11
    | ~ spl42_190 ),
    inference(forward_demodulation,[],[f528,f1413]) ).

fof(f1413,plain,
    ( e11 = op1(e11,e10)
    | ~ spl42_190 ),
    inference(avatar_component_clause,[],[f1411]) ).

fof(f528,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2521,plain,
    ( ~ spl42_94
    | ~ spl42_101 ),
    inference(avatar_split_clause,[],[f2520,f985,f951]) ).

fof(f951,plain,
    ( spl42_94
  <=> e10 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).

fof(f2520,plain,
    ( e10 != op1(e13,e12)
    | ~ spl42_101 ),
    inference(forward_demodulation,[],[f498,f987]) ).

fof(f498,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2505,plain,
    ( ~ spl42_167
    | ~ spl42_125 ),
    inference(avatar_split_clause,[],[f2504,f1087,f1297]) ).

fof(f1297,plain,
    ( spl42_167
  <=> e22 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_167])]) ).

fof(f2504,plain,
    ( e22 != op2(e22,e21)
    | ~ spl42_125 ),
    inference(forward_demodulation,[],[f142,f1089]) ).

fof(f1089,plain,
    ( e22 = op2(e23,e21)
    | ~ spl42_125 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f142,plain,
    op2(e22,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2494,plain,
    ( ~ spl42_265
    | ~ spl42_149 ),
    inference(avatar_split_clause,[],[f2493,f1204,f1860]) ).

fof(f1860,plain,
    ( spl42_265
  <=> e20 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_265])]) ).

fof(f2493,plain,
    ( e20 != op2(e22,e21)
    | ~ spl42_149 ),
    inference(forward_demodulation,[],[f140,f1206]) ).

fof(f140,plain,
    op2(e20,e21) != op2(e22,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2475,plain,
    ( ~ spl42_233
    | ~ spl42_30 ),
    inference(avatar_split_clause,[],[f2474,f665,f1652]) ).

fof(f1652,plain,
    ( spl42_233
  <=> e21 = op2(e20,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_233])]) ).

fof(f2474,plain,
    ( e21 != op2(e20,e23)
    | ~ spl42_30 ),
    inference(forward_demodulation,[],[f2084,f666]) ).

fof(f2084,plain,
    op2(e20,e23) != h1(e10),
    inference(backward_demodulation,[],[f132,f431]) ).

fof(f132,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2463,plain,
    ( ~ spl42_86
    | ~ spl42_141 ),
    inference(avatar_split_clause,[],[f2462,f1162,f911]) ).

fof(f911,plain,
    ( spl42_86
  <=> e23 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).

fof(f2462,plain,
    ( e23 != op2(e23,e22)
    | ~ spl42_141 ),
    inference(forward_demodulation,[],[f151,f1164]) ).

fof(f151,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2456,plain,
    ( ~ spl42_142
    | ~ spl42_144 ),
    inference(avatar_contradiction_clause,[],[f2455]) ).

fof(f2455,plain,
    ( $false
    | ~ spl42_142
    | ~ spl42_144 ),
    inference(subsumption_resolution,[],[f2454,f539]) ).

fof(f539,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f2454,plain,
    ( e20 = e23
    | ~ spl42_142
    | ~ spl42_144 ),
    inference(forward_demodulation,[],[f1179,f1167]) ).

fof(f1179,plain,
    ( e23 = op2(e23,e23)
    | ~ spl42_144 ),
    inference(avatar_component_clause,[],[f1177]) ).

fof(f1177,plain,
    ( spl42_144
  <=> e23 = op2(e23,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_144])]) ).

fof(f2412,plain,
    ( ~ spl42_220
    | ~ spl42_101 ),
    inference(avatar_split_clause,[],[f2404,f985,f1567]) ).

fof(f1567,plain,
    ( spl42_220
  <=> e10 = op1(e13,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_220])]) ).

fof(f2404,plain,
    ( e10 != op1(e13,e11)
    | ~ spl42_101 ),
    inference(backward_demodulation,[],[f503,f987]) ).

fof(f503,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2379,plain,
    ( ~ spl42_126
    | ~ spl42_141 ),
    inference(avatar_contradiction_clause,[],[f2378]) ).

fof(f2378,plain,
    ( $false
    | ~ spl42_126
    | ~ spl42_141 ),
    inference(subsumption_resolution,[],[f2377,f540]) ).

fof(f540,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f2377,plain,
    ( e22 = e23
    | ~ spl42_126
    | ~ spl42_141 ),
    inference(backward_demodulation,[],[f1164,f1093]) ).

fof(f1093,plain,
    ( e22 = op2(e23,e20)
    | ~ spl42_126 ),
    inference(avatar_component_clause,[],[f1091]) ).

fof(f1091,plain,
    ( spl42_126
  <=> e22 = op2(e23,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_126])]) ).

fof(f2372,plain,
    ( ~ spl42_27
    | spl42_138
    | ~ spl42_142 ),
    inference(avatar_contradiction_clause,[],[f2371]) ).

fof(f2371,plain,
    ( $false
    | ~ spl42_27
    | spl42_138
    | ~ spl42_142 ),
    inference(subsumption_resolution,[],[f2370,f1149]) ).

fof(f1149,plain,
    ( e20 != e21
    | spl42_138 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f1147,plain,
    ( spl42_138
  <=> e20 = e21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_138])]) ).

fof(f2370,plain,
    ( e20 = e21
    | ~ spl42_27
    | ~ spl42_142 ),
    inference(forward_demodulation,[],[f653,f1167]) ).

fof(f653,plain,
    ( e21 = op2(e23,e23)
    | ~ spl42_27 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f652,plain,
    ( spl42_27
  <=> e21 = op2(e23,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_27])]) ).

fof(f2343,plain,
    ( ~ spl42_158
    | ~ spl42_96 ),
    inference(avatar_split_clause,[],[f2336,f960,f1251]) ).

fof(f960,plain,
    ( spl42_96
  <=> e11 = op1(e10,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_96])]) ).

fof(f2336,plain,
    ( op1(e10,e10) != e11
    | ~ spl42_96 ),
    inference(backward_demodulation,[],[f521,f962]) ).

fof(f962,plain,
    ( e11 = op1(e10,e11)
    | ~ spl42_96 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f521,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2334,plain,
    ( ~ spl42_184
    | ~ spl42_185 ),
    inference(avatar_split_clause,[],[f2332,f1388,f1384]) ).

fof(f1384,plain,
    ( spl42_184
  <=> e13 = op1(e13,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_184])]) ).

fof(f2332,plain,
    ( e13 != op1(e13,e11)
    | ~ spl42_185 ),
    inference(backward_demodulation,[],[f502,f1390]) ).

fof(f502,plain,
    op1(e13,e10) != op1(e13,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2326,plain,
    ( ~ spl42_185
    | ~ spl42_85 ),
    inference(avatar_split_clause,[],[f2317,f906,f1388]) ).

fof(f906,plain,
    ( spl42_85
  <=> e13 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_85])]) ).

fof(f2317,plain,
    ( e13 != op1(e13,e10)
    | ~ spl42_85 ),
    inference(backward_demodulation,[],[f489,f908]) ).

fof(f908,plain,
    ( e13 = op1(e13,e12)
    | ~ spl42_85 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f489,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2316,plain,
    ( ~ spl42_134
    | spl42_151 ),
    inference(avatar_contradiction_clause,[],[f2315]) ).

fof(f2315,plain,
    ( $false
    | ~ spl42_134
    | spl42_151 ),
    inference(subsumption_resolution,[],[f2314,f1217]) ).

fof(f1217,plain,
    ( e21 != e22
    | spl42_151 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f1215,plain,
    ( spl42_151
  <=> e21 = e22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_151])]) ).

fof(f2314,plain,
    ( e21 = e22
    | ~ spl42_134 ),
    inference(backward_demodulation,[],[f788,f1129]) ).

fof(f1129,plain,
    ( e21 = op2(e21,e23)
    | ~ spl42_134 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1127,plain,
    ( spl42_134
  <=> e21 = op2(e21,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_134])]) ).

fof(f788,plain,
    e22 = op2(e21,e23),
    inference(backward_demodulation,[],[f322,f321]) ).

fof(f322,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(cnf_transformation,[],[f13]) ).

fof(f2310,plain,
    ( ~ spl42_143
    | ~ spl42_141 ),
    inference(avatar_split_clause,[],[f2308,f1162,f1172]) ).

fof(f1172,plain,
    ( spl42_143
  <=> e23 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_143])]) ).

fof(f2308,plain,
    ( e23 != op2(e21,e20)
    | ~ spl42_141 ),
    inference(backward_demodulation,[],[f145,f1164]) ).

fof(f145,plain,
    op2(e21,e20) != op2(e23,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f2309,plain,
    ( ~ spl42_28
    | ~ spl42_141 ),
    inference(avatar_split_clause,[],[f2307,f1162,f656]) ).

fof(f656,plain,
    ( spl42_28
  <=> e23 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_28])]) ).

fof(f2307,plain,
    ( e23 != op2(e23,e21)
    | ~ spl42_141 ),
    inference(backward_demodulation,[],[f143,f1164]) ).

fof(f143,plain,
    op2(e23,e20) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2303,plain,
    ( ~ spl42_78
    | ~ spl42_77 ),
    inference(avatar_split_clause,[],[f2297,f871,f875]) ).

fof(f875,plain,
    ( spl42_78
  <=> e12 = op1(e12,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_78])]) ).

fof(f2297,plain,
    ( e12 != op1(e12,e12)
    | ~ spl42_77 ),
    inference(backward_demodulation,[],[f506,f873]) ).

fof(f506,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2300,plain,
    ( ~ spl42_79
    | ~ spl42_77 ),
    inference(avatar_split_clause,[],[f2299,f871,f879]) ).

fof(f879,plain,
    ( spl42_79
  <=> e12 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_79])]) ).

fof(f2299,plain,
    ( e12 != op1(e13,e12)
    | ~ spl42_77 ),
    inference(backward_demodulation,[],[f534,f873]) ).

fof(f534,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2294,plain,
    ( ~ spl42_82
    | ~ spl42_149 ),
    inference(avatar_split_clause,[],[f2289,f1204,f893]) ).

fof(f893,plain,
    ( spl42_82
  <=> e20 = h1(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_82])]) ).

fof(f2289,plain,
    ( e20 != h1(e10)
    | ~ spl42_149 ),
    inference(backward_demodulation,[],[f2088,f1206]) ).

fof(f2088,plain,
    op2(e20,e21) != h1(e10),
    inference(backward_demodulation,[],[f152,f431]) ).

fof(f152,plain,
    op2(e20,e20) != op2(e20,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2293,plain,
    ( ~ spl42_231
    | ~ spl42_149 ),
    inference(avatar_split_clause,[],[f2291,f1204,f1638]) ).

fof(f1638,plain,
    ( spl42_231
  <=> e20 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_231])]) ).

fof(f2291,plain,
    ( e20 != op2(e23,e21)
    | ~ spl42_149 ),
    inference(backward_demodulation,[],[f129,f1206]) ).

fof(f129,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2279,plain,
    ( ~ spl42_150
    | ~ spl42_61 ),
    inference(avatar_split_clause,[],[f2277,f799,f1209]) ).

fof(f799,plain,
    ( spl42_61
  <=> e21 = op2(e21,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_61])]) ).

fof(f2277,plain,
    ( e21 != h2(e10)
    | ~ spl42_61 ),
    inference(backward_demodulation,[],[f2082,f801]) ).

fof(f801,plain,
    ( e21 = op2(e21,e22)
    | ~ spl42_61 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f2082,plain,
    op2(e21,e22) != h2(e10),
    inference(backward_demodulation,[],[f164,f127]) ).

fof(f164,plain,
    op2(e21,e21) != op2(e21,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2274,plain,
    ( spl42_30
    | ~ spl42_211 ),
    inference(avatar_split_clause,[],[f2273,f1515,f665]) ).

fof(f2273,plain,
    ( e21 = h1(e10)
    | ~ spl42_211 ),
    inference(backward_demodulation,[],[f431,f1517]) ).

fof(f2271,plain,
    ( ~ spl42_185
    | ~ spl42_187 ),
    inference(avatar_split_clause,[],[f2267,f1399,f1388]) ).

fof(f1399,plain,
    ( spl42_187
  <=> e13 = op1(e11,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_187])]) ).

fof(f2267,plain,
    ( e13 != op1(e13,e10)
    | ~ spl42_187 ),
    inference(backward_demodulation,[],[f526,f1401]) ).

fof(f1401,plain,
    ( e13 = op1(e11,e10)
    | ~ spl42_187 ),
    inference(avatar_component_clause,[],[f1399]) ).

fof(f526,plain,
    op1(e11,e10) != op1(e13,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2264,plain,
    ( ~ spl42_234
    | ~ spl42_53 ),
    inference(avatar_split_clause,[],[f2258,f762,f1661]) ).

fof(f762,plain,
    ( spl42_53
  <=> e20 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_53])]) ).

fof(f2258,plain,
    ( e20 != h4(e10)
    | ~ spl42_53 ),
    inference(backward_demodulation,[],[f1829,f764]) ).

fof(f764,plain,
    ( e20 = op2(e23,e22)
    | ~ spl42_53 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f1829,plain,
    op2(e23,e22) != h4(e10),
    inference(backward_demodulation,[],[f128,f468]) ).

fof(f128,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2254,plain,
    ( ~ spl42_31
    | ~ spl42_163 ),
    inference(avatar_split_clause,[],[f2248,f1276,f670]) ).

fof(f670,plain,
    ( spl42_31
  <=> e22 = h3(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_31])]) ).

fof(f2248,plain,
    ( e22 != h3(e10)
    | ~ spl42_163 ),
    inference(backward_demodulation,[],[f1971,f1278]) ).

fof(f1971,plain,
    op2(e20,e22) != h3(e10),
    inference(backward_demodulation,[],[f155,f424]) ).

fof(f155,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2252,plain,
    ( ~ spl42_127
    | ~ spl42_163 ),
    inference(avatar_split_clause,[],[f2247,f1276,f1095]) ).

fof(f1095,plain,
    ( spl42_127
  <=> e22 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_127])]) ).

fof(f2247,plain,
    ( e22 != op2(e23,e22)
    | ~ spl42_163 ),
    inference(backward_demodulation,[],[f159,f1278]) ).

fof(f159,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2243,plain,
    ( ~ spl42_158
    | ~ spl42_129 ),
    inference(avatar_split_clause,[],[f2236,f1104,f1251]) ).

fof(f1104,plain,
    ( spl42_129
  <=> e11 = op1(e12,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_129])]) ).

fof(f2236,plain,
    ( op1(e10,e10) != e11
    | ~ spl42_129 ),
    inference(backward_demodulation,[],[f516,f1106]) ).

fof(f1106,plain,
    ( e11 = op1(e12,e10)
    | ~ spl42_129 ),
    inference(avatar_component_clause,[],[f1104]) ).

fof(f516,plain,
    op1(e10,e10) != op1(e12,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2234,plain,
    ( ~ spl42_118
    | spl42_105
    | ~ spl42_168 ),
    inference(avatar_split_clause,[],[f2233,f1302,f1005,f1057]) ).

fof(f1005,plain,
    ( spl42_105
  <=> h4(e12) = op2(h4(e11),h4(e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_105])]) ).

fof(f2233,plain,
    ( e22 != h4(e12)
    | spl42_105
    | ~ spl42_168 ),
    inference(forward_demodulation,[],[f2232,f788]) ).

fof(f2232,plain,
    ( op2(e21,e23) != h4(e12)
    | spl42_105
    | ~ spl42_168 ),
    inference(backward_demodulation,[],[f2205,f1303]) ).

fof(f2205,plain,
    ( h4(e12) != op2(h4(e11),e23)
    | spl42_105 ),
    inference(forward_demodulation,[],[f1007,f469]) ).

fof(f1007,plain,
    ( h4(e12) != op2(h4(e11),h4(e13))
    | spl42_105 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f2227,plain,
    ( ~ spl42_150
    | ~ spl42_5 ),
    inference(avatar_split_clause,[],[f2220,f562,f1209]) ).

fof(f562,plain,
    ( spl42_5
  <=> e21 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_5])]) ).

fof(f2220,plain,
    ( e21 != h2(e10)
    | ~ spl42_5 ),
    inference(backward_demodulation,[],[f2121,f564]) ).

fof(f564,plain,
    ( e21 = op2(e22,e21)
    | ~ spl42_5 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f2121,plain,
    op2(e22,e21) != h2(e10),
    inference(forward_demodulation,[],[f170,f127]) ).

fof(f170,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2216,plain,
    ( ~ spl42_218
    | ~ spl42_132 ),
    inference(avatar_split_clause,[],[f2211,f1117,f1555]) ).

fof(f1555,plain,
    ( spl42_218
  <=> e13 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_218])]) ).

fof(f2211,plain,
    ( e13 != op1(e10,e12)
    | ~ spl42_132 ),
    inference(backward_demodulation,[],[f533,f1119]) ).

fof(f533,plain,
    op1(e10,e12) != op1(e10,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2209,plain,
    ( spl42_31
    | ~ spl42_74 ),
    inference(avatar_split_clause,[],[f2208,f857,f670]) ).

fof(f857,plain,
    ( spl42_74
  <=> e22 = op2(e22,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_74])]) ).

fof(f2208,plain,
    ( e22 = h3(e10)
    | ~ spl42_74 ),
    inference(backward_demodulation,[],[f424,f859]) ).

fof(f859,plain,
    ( e22 = op2(e22,e22)
    | ~ spl42_74 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f2207,plain,
    ( spl42_234
    | ~ spl42_142 ),
    inference(avatar_split_clause,[],[f2206,f1166,f1661]) ).

fof(f2206,plain,
    ( e20 = h4(e10)
    | ~ spl42_142 ),
    inference(backward_demodulation,[],[f468,f1167]) ).

fof(f2203,plain,
    ( ~ spl42_234
    | ~ spl42_153 ),
    inference(avatar_split_clause,[],[f2196,f1227,f1661]) ).

fof(f1227,plain,
    ( spl42_153
  <=> e20 = op2(e20,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_153])]) ).

fof(f2196,plain,
    ( e20 != h4(e10)
    | ~ spl42_153 ),
    inference(backward_demodulation,[],[f1827,f1229]) ).

fof(f1229,plain,
    ( e20 = op2(e20,e23)
    | ~ spl42_153 ),
    inference(avatar_component_clause,[],[f1227]) ).

fof(f1827,plain,
    op2(e20,e23) != h4(e10),
    inference(backward_demodulation,[],[f148,f468]) ).

fof(f148,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2177,plain,
    ( ~ spl42_222
    | spl42_184 ),
    inference(avatar_split_clause,[],[f243,f1384,f1580]) ).

fof(f1580,plain,
    ( spl42_222
  <=> e11 = op1(e13,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_222])]) ).

fof(f243,plain,
    ( e13 = op1(e13,e11)
    | e11 != op1(e13,e13) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ( e12 = op1(e12,e13)
      | e13 != op1(e12,e12) )
    & ( ( e10 != op1(e10,e10)
        & e10 = op1(e10,e10)
        & e10 = op1(e10,e10) )
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 )
    & ( e13 = op1(e13,e10)
      | e10 != op1(e13,e13) )
    & ( e11 != op1(e11,e11)
      | e11 = op1(e11,e11) )
    & ( e12 != op1(e13,e13)
      | e13 = op1(e13,e12) )
    & ( e12 = op1(e12,e10)
      | e10 != op1(e12,e12) )
    & ( e12 = op1(e12,e12)
      | e11 = op1(e11,e11)
      | e13 = op1(e13,e13)
      | e10 = op1(e10,e10) )
    & ( e13 != op1(e13,e13)
      | e13 = op1(e13,e13) )
    & ( op1(e10,e10) != e11
      | e10 = op1(e10,e11) )
    & ( e12 != op1(e12,e12)
      | e12 = op1(e12,e12) )
    & ( e13 != op1(e11,e11)
      | e11 = op1(e11,e13) )
    & ( e13 = op1(e13,e11)
      | e11 != op1(e13,e13) )
    & ( op1(e10,e10) != e12
      | e10 = op1(e10,e12) )
    & ( e11 != op1(e12,e12)
      | e12 = op1(e12,e11) )
    & ( e10 != op1(e11,e11)
      | e11 = op1(e11,e10) )
    & ( e10 = op1(e10,e13)
      | op1(e10,e10) != e13 )
    & ( e11 = op1(e11,e12)
      | e12 != op1(e11,e11) )
    & ( e10 = op1(e10,e10)
      | e10 != op1(e10,e10) ) ),
    inference(definition_folding,[],[f10,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).

fof(f21,plain,
    ( ( e10 = op1(e10,e13)
      & e13 != op1(e13,e13)
      & e10 = op1(e13,e10) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f22,plain,
    ( ( e13 = op1(e11,e13)
      & e13 = op1(e13,e11)
      & e11 != op1(e11,e11) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f23,plain,
    ( ( e11 = op1(e10,e11)
      & e11 = op1(e11,e10)
      & e10 != op1(e10,e10) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f24,plain,
    ( ( e11 = op1(e11,e13)
      & e13 != op1(e13,e13)
      & e11 = op1(e13,e11) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f25,plain,
    ( ( e13 = op1(e10,e13)
      & e10 != op1(e10,e10)
      & e13 = op1(e13,e10) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f26,plain,
    ( ( e12 != op1(e12,e12)
      & e12 = op1(e12,e12)
      & e12 = op1(e12,e12) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f27,plain,
    ( ( e11 != op1(e11,e11)
      & e11 = op1(e11,e11)
      & e11 = op1(e11,e11) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f28,plain,
    ( ( e12 = op1(e13,e12)
      & e12 = op1(e12,e13)
      & e13 != op1(e13,e13) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f29,plain,
    ( ( e13 = op1(e13,e13)
      & e13 != op1(e13,e13)
      & e13 = op1(e13,e13) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f30,plain,
    ( ( e12 != op1(e12,e12)
      & e11 = op1(e11,e12)
      & e11 = op1(e12,e11) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f31,plain,
    ( ( e12 != op1(e12,e12)
      & e13 = op1(e13,e12)
      & e13 = op1(e12,e13) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f32,plain,
    ( ( e12 = op1(e12,e11)
      & e11 != op1(e11,e11)
      & e12 = op1(e11,e12) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f33,plain,
    ( ( e10 = op1(e10,e12)
      & e12 != op1(e12,e12)
      & e10 = op1(e12,e10) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f34,plain,
    ( ( e12 = op1(e10,e12)
      & e10 != op1(e10,e10)
      & e12 = op1(e12,e10) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f35,plain,
    ( ( e11 != op1(e11,e11)
      & e10 = op1(e11,e10)
      & e10 = op1(e10,e11) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f10,axiom,
    ( ( e12 = op1(e12,e13)
      | e13 != op1(e12,e12) )
    & ( ( e10 != op1(e10,e10)
        & e10 = op1(e10,e10)
        & e10 = op1(e10,e10) )
      | ( e11 != op1(e11,e11)
        & e10 = op1(e11,e10)
        & e10 = op1(e10,e11) )
      | ( e12 = op1(e10,e12)
        & e10 != op1(e10,e10)
        & e12 = op1(e12,e10) )
      | ( e10 = op1(e10,e12)
        & e12 != op1(e12,e12)
        & e10 = op1(e12,e10) )
      | ( e12 = op1(e12,e11)
        & e11 != op1(e11,e11)
        & e12 = op1(e11,e12) )
      | ( e12 != op1(e12,e12)
        & e13 = op1(e13,e12)
        & e13 = op1(e12,e13) )
      | ( e12 != op1(e12,e12)
        & e11 = op1(e11,e12)
        & e11 = op1(e12,e11) )
      | ( e13 = op1(e13,e13)
        & e13 != op1(e13,e13)
        & e13 = op1(e13,e13) )
      | ( e12 = op1(e13,e12)
        & e12 = op1(e12,e13)
        & e13 != op1(e13,e13) )
      | ( e11 != op1(e11,e11)
        & e11 = op1(e11,e11)
        & e11 = op1(e11,e11) )
      | ( e12 != op1(e12,e12)
        & e12 = op1(e12,e12)
        & e12 = op1(e12,e12) )
      | ( e13 = op1(e10,e13)
        & e10 != op1(e10,e10)
        & e13 = op1(e13,e10) )
      | ( e11 = op1(e11,e13)
        & e13 != op1(e13,e13)
        & e11 = op1(e13,e11) )
      | ( e11 = op1(e10,e11)
        & e11 = op1(e11,e10)
        & e10 != op1(e10,e10) )
      | ( e13 = op1(e11,e13)
        & e13 = op1(e13,e11)
        & e11 != op1(e11,e11) )
      | ( e10 = op1(e10,e13)
        & e13 != op1(e13,e13)
        & e10 = op1(e13,e10) ) )
    & ( e13 = op1(e13,e10)
      | e10 != op1(e13,e13) )
    & ( e11 != op1(e11,e11)
      | e11 = op1(e11,e11) )
    & ( e12 != op1(e13,e13)
      | e13 = op1(e13,e12) )
    & ( e12 = op1(e12,e10)
      | e10 != op1(e12,e12) )
    & ( e12 = op1(e12,e12)
      | e11 = op1(e11,e11)
      | e13 = op1(e13,e13)
      | e10 = op1(e10,e10) )
    & ( e13 != op1(e13,e13)
      | e13 = op1(e13,e13) )
    & ( op1(e10,e10) != e11
      | e10 = op1(e10,e11) )
    & ( e12 != op1(e12,e12)
      | e12 = op1(e12,e12) )
    & ( e13 != op1(e11,e11)
      | e11 = op1(e11,e13) )
    & ( e13 = op1(e13,e11)
      | e11 != op1(e13,e13) )
    & ( op1(e10,e10) != e12
      | e10 = op1(e10,e12) )
    & ( e11 != op1(e12,e12)
      | e12 = op1(e12,e11) )
    & ( e10 != op1(e11,e11)
      | e11 = op1(e11,e10) )
    & ( e10 = op1(e10,e13)
      | op1(e10,e10) != e13 )
    & ( e11 = op1(e11,e12)
      | e12 != op1(e11,e11) )
    & ( e10 = op1(e10,e10)
      | e10 != op1(e10,e10) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f2156,plain,
    ( spl42_82
    | spl42_144
    | spl42_150
    | spl42_31 ),
    inference(avatar_split_clause,[],[f2155,f670,f1209,f1177,f893]) ).

fof(f2155,plain,
    ( e22 = h3(e10)
    | e21 = h2(e10)
    | e23 = op2(e23,e23)
    | e20 = h1(e10) ),
    inference(forward_demodulation,[],[f2154,f424]) ).

fof(f2154,plain,
    ( e23 = op2(e23,e23)
    | e22 = op2(e22,e22)
    | e20 = h1(e10)
    | e21 = h2(e10) ),
    inference(forward_demodulation,[],[f2153,f431]) ).

fof(f2153,plain,
    ( e23 = op2(e23,e23)
    | e21 = h2(e10)
    | e20 = op2(e20,e20)
    | e22 = op2(e22,e22) ),
    inference(forward_demodulation,[],[f376,f127]) ).

fof(f376,plain,
    ( e21 = op2(e21,e21)
    | e23 = op2(e23,e23)
    | e22 = op2(e22,e22)
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ( ( e22 = op2(e22,e20)
      | e20 != op2(e22,e22) )
    & ( ( e22 != op2(e22,e22)
        & e22 = op2(e22,e22)
        & e22 = op2(e22,e22) )
      | sP41
      | sP40
      | sP39
      | sP38
      | sP37
      | sP36
      | sP35
      | sP34
      | sP33
      | sP32
      | sP31
      | sP30
      | sP29
      | sP28
      | sP27 )
    & ( e22 = op2(e22,e22)
      | e22 != op2(e22,e22) )
    & ( e21 = op2(e21,e22)
      | e22 != op2(e21,e21) )
    & ( e21 != op2(e21,e21)
      | e21 = op2(e21,e21) )
    & ( e23 = op2(e23,e20)
      | e20 != op2(e23,e23) )
    & ( e23 != op2(e22,e22)
      | e22 = op2(e22,e23) )
    & ( e21 != op2(e23,e23)
      | e23 = op2(e23,e21) )
    & ( e20 = op2(e20,e21)
      | op2(e20,e20) != e21 )
    & ( e23 = op2(e23,e22)
      | e22 != op2(e23,e23) )
    & ( e23 = op2(e23,e23)
      | e22 = op2(e22,e22)
      | e20 = op2(e20,e20)
      | e21 = op2(e21,e21) )
    & ( e23 != op2(e21,e21)
      | e21 = op2(e21,e23) )
    & ( op2(e20,e20) != e23
      | e20 = op2(e20,e23) )
    & ( e21 = op2(e21,e20)
      | e20 != op2(e21,e21) )
    & ( e20 != op2(e20,e20)
      | e20 = op2(e20,e20) )
    & ( e23 != op2(e23,e23)
      | e23 = op2(e23,e23) )
    & ( e21 != op2(e22,e22)
      | e22 = op2(e22,e21) )
    & ( op2(e20,e20) != e22
      | e20 = op2(e20,e22) ) ),
    inference(definition_folding,[],[f11,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50]) ).

fof(f50,plain,
    ( ( e20 = op2(e20,e20)
      & e20 = op2(e20,e20)
      & e20 != op2(e20,e20) )
    | ~ sP27 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

fof(f51,plain,
    ( ( e23 = op2(e23,e22)
      & e22 != op2(e22,e22)
      & e23 = op2(e22,e23) )
    | ~ sP28 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).

fof(f52,plain,
    ( ( e22 = op2(e22,e21)
      & e22 = op2(e21,e22)
      & e21 != op2(e21,e21) )
    | ~ sP29 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).

fof(f53,plain,
    ( ( e20 = op2(e20,e23)
      & e20 = op2(e23,e20)
      & e23 != op2(e23,e23) )
    | ~ sP30 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f54,plain,
    ( ( e23 = op2(e21,e23)
      & e21 != op2(e21,e21)
      & e23 = op2(e23,e21) )
    | ~ sP31 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

fof(f55,plain,
    ( ( e20 = op2(e22,e20)
      & e20 = op2(e20,e22)
      & e22 != op2(e22,e22) )
    | ~ sP32 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).

fof(f56,plain,
    ( ( e21 != op2(e21,e21)
      & e21 = op2(e21,e21)
      & e21 = op2(e21,e21) )
    | ~ sP33 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f57,plain,
    ( ( e21 = op2(e21,e23)
      & e23 != op2(e23,e23)
      & e21 = op2(e23,e21) )
    | ~ sP34 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).

fof(f58,plain,
    ( ( e22 = op2(e22,e23)
      & e22 = op2(e23,e22)
      & e23 != op2(e23,e23) )
    | ~ sP35 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).

fof(f59,plain,
    ( ( e20 = op2(e20,e21)
      & e21 != op2(e21,e21)
      & e20 = op2(e21,e20) )
    | ~ sP36 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f60,plain,
    ( ( e21 = op2(e21,e22)
      & e21 = op2(e22,e21)
      & e22 != op2(e22,e22) )
    | ~ sP37 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

fof(f61,plain,
    ( ( e23 = op2(e20,e23)
      & e20 != op2(e20,e20)
      & e23 = op2(e23,e20) )
    | ~ sP38 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f62,plain,
    ( ( e23 = op2(e23,e23)
      & e23 = op2(e23,e23)
      & e23 != op2(e23,e23) )
    | ~ sP39 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

fof(f63,plain,
    ( ( e21 = op2(e21,e20)
      & e21 = op2(e20,e21)
      & e20 != op2(e20,e20) )
    | ~ sP40 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f64,plain,
    ( ( e22 = op2(e20,e22)
      & e20 != op2(e20,e20)
      & e22 = op2(e22,e20) )
    | ~ sP41 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).

fof(f11,axiom,
    ( ( e22 = op2(e22,e20)
      | e20 != op2(e22,e22) )
    & ( ( e22 != op2(e22,e22)
        & e22 = op2(e22,e22)
        & e22 = op2(e22,e22) )
      | ( e22 = op2(e20,e22)
        & e20 != op2(e20,e20)
        & e22 = op2(e22,e20) )
      | ( e21 = op2(e21,e20)
        & e21 = op2(e20,e21)
        & e20 != op2(e20,e20) )
      | ( e23 = op2(e23,e23)
        & e23 = op2(e23,e23)
        & e23 != op2(e23,e23) )
      | ( e23 = op2(e20,e23)
        & e20 != op2(e20,e20)
        & e23 = op2(e23,e20) )
      | ( e21 = op2(e21,e22)
        & e21 = op2(e22,e21)
        & e22 != op2(e22,e22) )
      | ( e20 = op2(e20,e21)
        & e21 != op2(e21,e21)
        & e20 = op2(e21,e20) )
      | ( e22 = op2(e22,e23)
        & e22 = op2(e23,e22)
        & e23 != op2(e23,e23) )
      | ( e21 = op2(e21,e23)
        & e23 != op2(e23,e23)
        & e21 = op2(e23,e21) )
      | ( e21 != op2(e21,e21)
        & e21 = op2(e21,e21)
        & e21 = op2(e21,e21) )
      | ( e20 = op2(e22,e20)
        & e20 = op2(e20,e22)
        & e22 != op2(e22,e22) )
      | ( e23 = op2(e21,e23)
        & e21 != op2(e21,e21)
        & e23 = op2(e23,e21) )
      | ( e20 = op2(e20,e23)
        & e20 = op2(e23,e20)
        & e23 != op2(e23,e23) )
      | ( e22 = op2(e22,e21)
        & e22 = op2(e21,e22)
        & e21 != op2(e21,e21) )
      | ( e23 = op2(e23,e22)
        & e22 != op2(e22,e22)
        & e23 = op2(e22,e23) )
      | ( e20 = op2(e20,e20)
        & e20 = op2(e20,e20)
        & e20 != op2(e20,e20) ) )
    & ( e22 = op2(e22,e22)
      | e22 != op2(e22,e22) )
    & ( e21 = op2(e21,e22)
      | e22 != op2(e21,e21) )
    & ( e21 != op2(e21,e21)
      | e21 = op2(e21,e21) )
    & ( e23 = op2(e23,e20)
      | e20 != op2(e23,e23) )
    & ( e23 != op2(e22,e22)
      | e22 = op2(e22,e23) )
    & ( e21 != op2(e23,e23)
      | e23 = op2(e23,e21) )
    & ( e20 = op2(e20,e21)
      | op2(e20,e20) != e21 )
    & ( e23 = op2(e23,e22)
      | e22 != op2(e23,e23) )
    & ( e23 = op2(e23,e23)
      | e22 = op2(e22,e22)
      | e20 = op2(e20,e20)
      | e21 = op2(e21,e21) )
    & ( e23 != op2(e21,e21)
      | e21 = op2(e21,e23) )
    & ( op2(e20,e20) != e23
      | e20 = op2(e20,e23) )
    & ( e21 = op2(e21,e20)
      | e20 != op2(e21,e21) )
    & ( e20 != op2(e20,e20)
      | e20 = op2(e20,e20) )
    & ( e23 != op2(e23,e23)
      | e23 = op2(e23,e23) )
    & ( e21 != op2(e22,e22)
      | e22 = op2(e22,e21) )
    & ( op2(e20,e20) != e22
      | e20 = op2(e20,e22) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f2146,plain,
    spl42_101,
    inference(avatar_split_clause,[],[f535,f985]) ).

fof(f535,plain,
    e10 = op1(e13,e13),
    inference(cnf_transformation,[],[f12]) ).

fof(f2139,plain,
    ( spl42_256
    | spl42_132
    | spl42_207
    | spl42_102 ),
    inference(avatar_split_clause,[],[f191,f989,f1497,f1117,f1775]) ).

fof(f1497,plain,
    ( spl42_207
  <=> e12 = op1(e10,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_207])]) ).

fof(f191,plain,
    ( e10 = op1(e10,e13)
    | e12 = op1(e10,e13)
    | e13 = op1(e10,e13)
    | e11 = op1(e10,e13) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e11 = op1(e10,e13)
      | e13 = op1(e10,e13)
      | e10 = op1(e10,e13)
      | e12 = op1(e10,e13) )
    & ( e10 = op1(e12,e12)
      | e12 = op1(e12,e12)
      | e13 = op1(e12,e12)
      | e11 = op1(e12,e12) )
    & ( op1(e10,e10) = e11
      | op1(e10,e10) = e13
      | op1(e10,e10) = e12
      | e10 = op1(e10,e10) )
    & ( e10 = op1(e13,e11)
      | e13 = op1(e13,e11)
      | e12 = op1(e13,e11)
      | e11 = op1(e13,e11) )
    & ( e10 = op1(e11,e10)
      | e12 = op1(e11,e10)
      | e13 = op1(e11,e10)
      | e11 = op1(e11,e10) )
    & ( e10 = op1(e12,e13)
      | e11 = op1(e12,e13)
      | e12 = op1(e12,e13)
      | e13 = op1(e12,e13) )
    & ( e13 = op1(e13,e12)
      | e11 = op1(e13,e12)
      | e10 = op1(e13,e12)
      | e12 = op1(e13,e12) )
    & ( e11 = op1(e11,e13)
      | e10 = op1(e11,e13)
      | e12 = op1(e11,e13)
      | e13 = op1(e11,e13) )
    & ( e12 = op1(e11,e12)
      | e10 = op1(e11,e12)
      | e11 = op1(e11,e12)
      | e13 = op1(e11,e12) )
    & ( e11 = op1(e10,e11)
      | e10 = op1(e10,e11)
      | e13 = op1(e10,e11)
      | e12 = op1(e10,e11) )
    & ( e10 = op1(e13,e13)
      | e13 = op1(e13,e13)
      | e11 = op1(e13,e13)
      | e12 = op1(e13,e13) )
    & ( e11 = op1(e13,e10)
      | e12 = op1(e13,e10)
      | e10 = op1(e13,e10)
      | e13 = op1(e13,e10) )
    & ( e12 = op1(e12,e11)
      | e11 = op1(e12,e11)
      | e13 = op1(e12,e11)
      | e10 = op1(e12,e11) )
    & ( e10 = op1(e11,e11)
      | e13 = op1(e11,e11)
      | e11 = op1(e11,e11)
      | e12 = op1(e11,e11) )
    & ( e13 = op1(e12,e10)
      | e11 = op1(e12,e10)
      | e12 = op1(e12,e10)
      | e10 = op1(e12,e10) )
    & ( e12 = op1(e10,e12)
      | e10 = op1(e10,e12)
      | e13 = op1(e10,e12)
      | e11 = op1(e10,e12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f2079,plain,
    ~ spl42_151,
    inference(avatar_split_clause,[],[f542,f1215]) ).

fof(f542,plain,
    e21 != e22,
    inference(cnf_transformation,[],[f8]) ).

fof(f2049,plain,
    ( spl42_94
    | spl42_171
    | spl42_85
    | spl42_79 ),
    inference(avatar_split_clause,[],[f185,f879,f906,f1316,f951]) ).

fof(f185,plain,
    ( e12 = op1(e13,e12)
    | e13 = op1(e13,e12)
    | e11 = op1(e13,e12)
    | e10 = op1(e13,e12) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2029,plain,
    ( spl42_56
    | ~ spl42_232 ),
    inference(avatar_split_clause,[],[f369,f1646,f774]) ).

fof(f1646,plain,
    ( spl42_232
  <=> op2(e20,e20) = e22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_232])]) ).

fof(f369,plain,
    ( op2(e20,e20) != e22
    | e20 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f1974,plain,
    ~ spl42_282,
    inference(avatar_split_clause,[],[f1973,f1948]) ).

fof(f1948,plain,
    ( spl42_282
  <=> e22 = op2(e20,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_282])]) ).

fof(f1973,plain,
    e22 != op2(e20,e23),
    inference(forward_demodulation,[],[f133,f788]) ).

fof(f133,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f1956,plain,
    ( spl42_282
    | spl42_153
    | spl42_199
    | spl42_233 ),
    inference(avatar_split_clause,[],[f112,f1652,f1457,f1227,f1948]) ).

fof(f112,plain,
    ( e21 = op2(e20,e23)
    | e23 = op2(e20,e23)
    | e20 = op2(e20,e23)
    | e22 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( op2(e20,e20) = e23
      | op2(e20,e20) = e21
      | e20 = op2(e20,e20)
      | op2(e20,e20) = e22 )
    & ( e23 = op2(e23,e20)
      | e21 = op2(e23,e20)
      | e22 = op2(e23,e20)
      | e20 = op2(e23,e20) )
    & ( e20 = op2(e20,e22)
      | e23 = op2(e20,e22)
      | e22 = op2(e20,e22)
      | e21 = op2(e20,e22) )
    & ( e20 = op2(e23,e23)
      | e23 = op2(e23,e23)
      | e21 = op2(e23,e23)
      | e22 = op2(e23,e23) )
    & ( e23 = op2(e23,e21)
      | e21 = op2(e23,e21)
      | e22 = op2(e23,e21)
      | e20 = op2(e23,e21) )
    & ( e20 = op2(e21,e22)
      | e23 = op2(e21,e22)
      | e22 = op2(e21,e22)
      | e21 = op2(e21,e22) )
    & ( e21 = op2(e21,e20)
      | e23 = op2(e21,e20)
      | e20 = op2(e21,e20)
      | e22 = op2(e21,e20) )
    & ( e20 = op2(e23,e22)
      | e22 = op2(e23,e22)
      | e23 = op2(e23,e22)
      | e21 = op2(e23,e22) )
    & ( e23 = op2(e22,e23)
      | e21 = op2(e22,e23)
      | e22 = op2(e22,e23)
      | e20 = op2(e22,e23) )
    & ( e20 = op2(e22,e22)
      | e21 = op2(e22,e22)
      | e23 = op2(e22,e22)
      | e22 = op2(e22,e22) )
    & ( e21 = op2(e21,e21)
      | e22 = op2(e21,e21)
      | e23 = op2(e21,e21)
      | e20 = op2(e21,e21) )
    & ( e21 = op2(e20,e23)
      | e20 = op2(e20,e23)
      | e23 = op2(e20,e23)
      | e22 = op2(e20,e23) )
    & ( e21 = op2(e20,e21)
      | e20 = op2(e20,e21)
      | e22 = op2(e20,e21)
      | e23 = op2(e20,e21) )
    & ( e23 = op2(e22,e20)
      | e22 = op2(e22,e20)
      | e20 = op2(e22,e20)
      | e21 = op2(e22,e20) )
    & ( e22 = op2(e21,e23)
      | e23 = op2(e21,e23)
      | e20 = op2(e21,e23)
      | e21 = op2(e21,e23) )
    & ( e23 = op2(e22,e21)
      | e21 = op2(e22,e21)
      | e22 = op2(e22,e21)
      | e20 = op2(e22,e21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f1951,plain,
    ( spl42_282
    | spl42_228
    | spl42_232
    | spl42_163 ),
    inference(avatar_split_clause,[],[f408,f1276,f1646,f1610,f1948]) ).

fof(f408,plain,
    ( e22 = op2(e20,e22)
    | op2(e20,e20) = e22
    | e22 = op2(e20,e21)
    | e22 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( ( e22 = op2(e21,e22)
      | e22 = op2(e21,e20)
      | e22 = op2(e21,e21)
      | e22 = op2(e21,e23) )
    & ( e23 = op2(e23,e21)
      | e23 = op2(e23,e23)
      | e23 = op2(e23,e20)
      | e23 = op2(e23,e22) )
    & ( e22 = op2(e21,e21)
      | e22 = op2(e22,e21)
      | e22 = op2(e23,e21)
      | e22 = op2(e20,e21) )
    & ( e20 = op2(e21,e20)
      | e20 = op2(e23,e20)
      | e20 = op2(e20,e20)
      | e20 = op2(e22,e20) )
    & ( e21 = op2(e23,e22)
      | e21 = op2(e23,e21)
      | e21 = op2(e23,e23)
      | e21 = op2(e23,e20) )
    & ( op2(e20,e20) = e23
      | e23 = op2(e23,e20)
      | e23 = op2(e22,e20)
      | e23 = op2(e21,e20) )
    & ( e20 = op2(e23,e23)
      | e20 = op2(e23,e21)
      | e20 = op2(e23,e22)
      | e20 = op2(e23,e20) )
    & ( e23 = op2(e23,e22)
      | e23 = op2(e21,e22)
      | e23 = op2(e22,e22)
      | e23 = op2(e20,e22) )
    & ( e21 = op2(e22,e20)
      | op2(e20,e20) = e21
      | e21 = op2(e23,e20)
      | e21 = op2(e21,e20) )
    & ( e20 = op2(e20,e23)
      | e20 = op2(e23,e23)
      | e20 = op2(e22,e23)
      | e20 = op2(e21,e23) )
    & ( e20 = op2(e21,e22)
      | e20 = op2(e21,e21)
      | e20 = op2(e21,e23)
      | e20 = op2(e21,e20) )
    & ( e21 = op2(e20,e23)
      | e21 = op2(e22,e23)
      | e21 = op2(e21,e23)
      | e21 = op2(e23,e23) )
    & ( e22 = op2(e20,e22)
      | e22 = op2(e20,e23)
      | op2(e20,e20) = e22
      | e22 = op2(e20,e21) )
    & ( e23 = op2(e20,e21)
      | e23 = op2(e22,e21)
      | e23 = op2(e23,e21)
      | e23 = op2(e21,e21) )
    & ( e20 = op2(e20,e20)
      | e20 = op2(e20,e21)
      | e20 = op2(e20,e23)
      | e20 = op2(e20,e22) )
    & ( e21 = op2(e21,e21)
      | e21 = op2(e21,e22)
      | e21 = op2(e21,e20)
      | e21 = op2(e21,e23) )
    & ( e23 = op2(e22,e23)
      | e23 = op2(e21,e23)
      | e23 = op2(e23,e23)
      | e23 = op2(e20,e23) )
    & ( e20 = op2(e22,e23)
      | e20 = op2(e22,e21)
      | e20 = op2(e22,e22)
      | e20 = op2(e22,e20) )
    & ( e22 = op2(e22,e20)
      | e22 = op2(e22,e21)
      | e22 = op2(e22,e23)
      | e22 = op2(e22,e22) )
    & ( e22 = op2(e23,e22)
      | e22 = op2(e22,e22)
      | e22 = op2(e20,e22)
      | e22 = op2(e21,e22) )
    & ( e21 = op2(e22,e21)
      | e21 = op2(e20,e21)
      | e21 = op2(e21,e21)
      | e21 = op2(e23,e21) )
    & ( e22 = op2(e22,e20)
      | op2(e20,e20) = e22
      | e22 = op2(e21,e20)
      | e22 = op2(e23,e20) )
    & ( e23 = op2(e21,e22)
      | e23 = op2(e21,e20)
      | e23 = op2(e21,e23)
      | e23 = op2(e21,e21) )
    & ( e22 = op2(e22,e23)
      | e22 = op2(e23,e23)
      | e22 = op2(e21,e23)
      | e22 = op2(e20,e23) )
    & ( e21 = op2(e20,e21)
      | op2(e20,e20) = e21
      | e21 = op2(e20,e23)
      | e21 = op2(e20,e22) )
    & ( e21 = op2(e22,e22)
      | e21 = op2(e20,e22)
      | e21 = op2(e21,e22)
      | e21 = op2(e23,e22) )
    & ( e21 = op2(e22,e22)
      | e21 = op2(e22,e20)
      | e21 = op2(e22,e23)
      | e21 = op2(e22,e21) )
    & ( e20 = op2(e23,e21)
      | e20 = op2(e20,e21)
      | e20 = op2(e21,e21)
      | e20 = op2(e22,e21) )
    & ( op2(e20,e20) = e23
      | e23 = op2(e20,e23)
      | e23 = op2(e20,e21)
      | e23 = op2(e20,e22) )
    & ( e23 = op2(e22,e22)
      | e23 = op2(e22,e23)
      | e23 = op2(e22,e20)
      | e23 = op2(e22,e21) )
    & ( e22 = op2(e23,e21)
      | e22 = op2(e23,e23)
      | e22 = op2(e23,e22)
      | e22 = op2(e23,e20) )
    & ( e20 = op2(e21,e22)
      | e20 = op2(e22,e22)
      | e20 = op2(e23,e22)
      | e20 = op2(e20,e22) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f1868,plain,
    ~ spl42_113,
    inference(avatar_split_clause,[],[f1867,f1037]) ).

fof(f1037,plain,
    ( spl42_113
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_113])]) ).

fof(f1867,plain,
    ~ sP22,
    inference(subsumption_resolution,[],[f275,f469]) ).

fof(f275,plain,
    ( e23 != h4(e13)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ( ( e23 != h4(e10)
      & e23 != h4(e13)
      & e23 != h4(e11)
      & e23 != h4(e12) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ( e23 != h4(e10)
      & e23 != h4(e13)
      & e23 != h4(e11)
      & e23 != h4(e12) )
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f1863,plain,
    ( spl42_5
    | spl42_167
    | spl42_1
    | spl42_265 ),
    inference(avatar_split_clause,[],[f108,f1860,f545,f1297,f562]) ).

fof(f108,plain,
    ( e20 = op2(e22,e21)
    | e23 = op2(e22,e21)
    | e22 = op2(e22,e21)
    | e21 = op2(e22,e21) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1857,plain,
    ~ spl42_189,
    inference(avatar_split_clause,[],[f1856,f1407]) ).

fof(f1407,plain,
    ( spl42_189
  <=> e12 = op1(e11,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_189])]) ).

fof(f1856,plain,
    e12 != op1(e11,e10),
    inference(forward_demodulation,[],[f532,f943]) ).

fof(f943,plain,
    e12 = op1(e11,e13),
    inference(backward_demodulation,[],[f536,f537]) ).

fof(f536,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(cnf_transformation,[],[f12]) ).

fof(f532,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1849,plain,
    ~ spl42_73,
    inference(avatar_split_clause,[],[f1848,f852]) ).

fof(f852,plain,
    ( spl42_73
  <=> e22 = op2(e22,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_73])]) ).

fof(f1848,plain,
    e22 != op2(e22,e23),
    inference(forward_demodulation,[],[f162,f788]) ).

fof(f162,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f1847,plain,
    ( ~ spl42_211
    | spl42_149 ),
    inference(avatar_split_clause,[],[f378,f1204,f1515]) ).

fof(f378,plain,
    ( e20 = op2(e20,e21)
    | op2(e20,e20) != e21 ),
    inference(cnf_transformation,[],[f65]) ).

fof(f1844,plain,
    ~ spl42_207,
    inference(avatar_split_clause,[],[f1843,f1497]) ).

fof(f1843,plain,
    e12 != op1(e10,e13),
    inference(forward_demodulation,[],[f497,f943]) ).

fof(f497,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1811,plain,
    spl42_142,
    inference(avatar_split_clause,[],[f323,f1166]) ).

fof(f323,plain,
    e20 = op2(e23,e23),
    inference(cnf_transformation,[],[f13]) ).

fof(f1797,plain,
    ( spl42_219
    | spl42_75
    | spl42_259
    | spl42_96 ),
    inference(avatar_split_clause,[],[f438,f960,f1794,f862,f1563]) ).

fof(f438,plain,
    ( e11 = op1(e10,e11)
    | e11 = op1(e12,e11)
    | e11 = op1(e11,e11)
    | e11 = op1(e13,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e13 = op1(e13,e10)
      | e13 = op1(e13,e13)
      | e13 = op1(e13,e11)
      | e13 = op1(e13,e12) )
    & ( e13 = op1(e11,e10)
      | e13 = op1(e11,e11)
      | e13 = op1(e11,e13)
      | e13 = op1(e11,e12) )
    & ( e12 = op1(e10,e12)
      | e12 = op1(e13,e12)
      | e12 = op1(e12,e12)
      | e12 = op1(e11,e12) )
    & ( e13 = op1(e11,e10)
      | op1(e10,e10) = e13
      | e13 = op1(e13,e10)
      | e13 = op1(e12,e10) )
    & ( e11 = op1(e11,e10)
      | e11 = op1(e12,e10)
      | e11 = op1(e13,e10)
      | op1(e10,e10) = e11 )
    & ( e13 = op1(e12,e10)
      | e13 = op1(e12,e11)
      | e13 = op1(e12,e13)
      | e13 = op1(e12,e12) )
    & ( e11 = op1(e13,e13)
      | e11 = op1(e13,e12)
      | e11 = op1(e13,e11)
      | e11 = op1(e13,e10) )
    & ( e11 = op1(e12,e11)
      | e11 = op1(e12,e13)
      | e11 = op1(e12,e12)
      | e11 = op1(e12,e10) )
    & ( e12 = op1(e11,e10)
      | op1(e10,e10) = e12
      | e12 = op1(e12,e10)
      | e12 = op1(e13,e10) )
    & ( e10 = op1(e10,e11)
      | e10 = op1(e12,e11)
      | e10 = op1(e11,e11)
      | e10 = op1(e13,e11) )
    & ( e13 = op1(e10,e11)
      | e13 = op1(e10,e13)
      | op1(e10,e10) = e13
      | e13 = op1(e10,e12) )
    & ( e11 = op1(e11,e10)
      | e11 = op1(e11,e13)
      | e11 = op1(e11,e12)
      | e11 = op1(e11,e11) )
    & ( e11 = op1(e10,e12)
      | e11 = op1(e11,e12)
      | e11 = op1(e12,e12)
      | e11 = op1(e13,e12) )
    & ( e10 = op1(e11,e10)
      | e10 = op1(e12,e10)
      | e10 = op1(e13,e10)
      | e10 = op1(e10,e10) )
    & ( e12 = op1(e13,e10)
      | e12 = op1(e13,e13)
      | e12 = op1(e13,e12)
      | e12 = op1(e13,e11) )
    & ( e10 = op1(e11,e12)
      | e10 = op1(e11,e13)
      | e10 = op1(e11,e10)
      | e10 = op1(e11,e11) )
    & ( e10 = op1(e10,e13)
      | e10 = op1(e13,e13)
      | e10 = op1(e11,e13)
      | e10 = op1(e12,e13) )
    & ( e12 = op1(e12,e11)
      | e12 = op1(e12,e13)
      | e12 = op1(e12,e12)
      | e12 = op1(e12,e10) )
    & ( e12 = op1(e11,e11)
      | e12 = op1(e11,e10)
      | e12 = op1(e11,e12)
      | e12 = op1(e11,e13) )
    & ( e13 = op1(e12,e13)
      | e13 = op1(e13,e13)
      | e13 = op1(e10,e13)
      | e13 = op1(e11,e13) )
    & ( e10 = op1(e13,e11)
      | e10 = op1(e13,e13)
      | e10 = op1(e13,e10)
      | e10 = op1(e13,e12) )
    & ( e13 = op1(e12,e11)
      | e13 = op1(e10,e11)
      | e13 = op1(e11,e11)
      | e13 = op1(e13,e11) )
    & ( e12 = op1(e10,e13)
      | op1(e10,e10) = e12
      | e12 = op1(e10,e12)
      | e12 = op1(e10,e11) )
    & ( e11 = op1(e10,e13)
      | e11 = op1(e10,e11)
      | op1(e10,e10) = e11
      | e11 = op1(e10,e12) )
    & ( e12 = op1(e10,e11)
      | e12 = op1(e13,e11)
      | e12 = op1(e11,e11)
      | e12 = op1(e12,e11) )
    & ( e10 = op1(e11,e12)
      | e10 = op1(e12,e12)
      | e10 = op1(e13,e12)
      | e10 = op1(e10,e12) )
    & ( e10 = op1(e12,e11)
      | e10 = op1(e12,e13)
      | e10 = op1(e12,e12)
      | e10 = op1(e12,e10) )
    & ( e11 = op1(e12,e13)
      | e11 = op1(e13,e13)
      | e11 = op1(e11,e13)
      | e11 = op1(e10,e13) )
    & ( e11 = op1(e12,e11)
      | e11 = op1(e13,e11)
      | e11 = op1(e10,e11)
      | e11 = op1(e11,e11) )
    & ( e12 = op1(e10,e13)
      | e12 = op1(e11,e13)
      | e12 = op1(e12,e13)
      | e12 = op1(e13,e13) )
    & ( e13 = op1(e10,e12)
      | e13 = op1(e11,e12)
      | e13 = op1(e13,e12)
      | e13 = op1(e12,e12) )
    & ( e10 = op1(e10,e11)
      | e10 = op1(e10,e10)
      | e10 = op1(e10,e13)
      | e10 = op1(e10,e12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f1781,plain,
    spl42_168,
    inference(avatar_split_clause,[],[f1780,f1302]) ).

fof(f1780,plain,
    e21 = h4(e11),
    inference(forward_demodulation,[],[f470,f321]) ).

fof(f470,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h4(e11),
    inference(cnf_transformation,[],[f17]) ).

fof(f1778,plain,
    ( spl42_256
    | spl42_222
    | spl42_146 ),
    inference(avatar_split_clause,[],[f1773,f1186,f1580,f1775]) ).

fof(f1773,plain,
    ( e11 = op1(e12,e13)
    | e11 = op1(e13,e13)
    | e11 = op1(e10,e13) ),
    inference(subsumption_resolution,[],[f1772,f428]) ).

fof(f428,plain,
    e11 != e12,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ( e10 != e11
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13
    & e10 != e12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f1772,plain,
    ( e11 = e12
    | e11 = op1(e13,e13)
    | e11 = op1(e12,e13)
    | e11 = op1(e10,e13) ),
    inference(forward_demodulation,[],[f439,f943]) ).

fof(f439,plain,
    ( e11 = op1(e11,e13)
    | e11 = op1(e12,e13)
    | e11 = op1(e10,e13)
    | e11 = op1(e13,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1681,plain,
    ( spl42_53
    | spl42_64
    | spl42_86
    | spl42_127 ),
    inference(avatar_split_clause,[],[f116,f1095,f911,f811,f762]) ).

fof(f116,plain,
    ( e22 = op2(e23,e22)
    | e23 = op2(e23,e22)
    | e21 = op2(e23,e22)
    | e20 = op2(e23,e22) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1664,plain,
    ( ~ spl42_234
    | ~ spl42_80 ),
    inference(avatar_split_clause,[],[f277,f884,f1661]) ).

fof(f884,plain,
    ( spl42_80
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_80])]) ).

fof(f277,plain,
    ( ~ sP21
    | e20 != h4(e10) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ( e20 != h4(e13)
      & e20 != h4(e12)
      & e20 != h4(e11)
      & e20 != h4(e10) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ( e20 != h4(e13)
      & e20 != h4(e12)
      & e20 != h4(e11)
      & e20 != h4(e10) )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f1655,plain,
    ( spl42_151
    | spl42_233
    | spl42_72
    | spl42_27 ),
    inference(avatar_split_clause,[],[f1650,f652,f848,f1652,f1215]) ).

fof(f1650,plain,
    ( e21 = op2(e23,e23)
    | e21 = op2(e22,e23)
    | e21 = op2(e20,e23)
    | e21 = e22 ),
    inference(forward_demodulation,[],[f409,f788]) ).

fof(f409,plain,
    ( e21 = op2(e22,e23)
    | e21 = op2(e23,e23)
    | e21 = op2(e21,e23)
    | e21 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1649,plain,
    ( spl42_126
    | spl42_232
    | spl42_217 ),
    inference(avatar_split_clause,[],[f1644,f1549,f1646,f1091]) ).

fof(f1644,plain,
    ( e22 = op2(e22,e20)
    | op2(e20,e20) = e22
    | e22 = op2(e23,e20) ),
    inference(subsumption_resolution,[],[f399,f965]) ).

fof(f965,plain,
    e22 != op2(e21,e20),
    inference(forward_demodulation,[],[f136,f788]) ).

fof(f136,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f399,plain,
    ( op2(e20,e20) = e22
    | e22 = op2(e23,e20)
    | e22 = op2(e22,e20)
    | e22 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1641,plain,
    ( spl42_231
    | spl42_125
    | spl42_28
    | spl42_180 ),
    inference(avatar_split_clause,[],[f119,f1361,f656,f1087,f1638]) ).

fof(f119,plain,
    ( e21 = op2(e23,e21)
    | e23 = op2(e23,e21)
    | e22 = op2(e23,e21)
    | e20 = op2(e23,e21) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1632,plain,
    ( spl42_85
    | spl42_201
    | spl42_218
    | spl42_214 ),
    inference(avatar_split_clause,[],[f436,f1528,f1555,f1468,f906]) ).

fof(f1528,plain,
    ( spl42_214
  <=> e13 = op1(e12,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_214])]) ).

fof(f436,plain,
    ( e13 = op1(e12,e12)
    | e13 = op1(e10,e12)
    | e13 = op1(e11,e12)
    | e13 = op1(e13,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1622,plain,
    ( spl42_170
    | spl42_78
    | spl42_93
    | spl42_214 ),
    inference(avatar_split_clause,[],[f190,f1528,f947,f875,f1312]) ).

fof(f190,plain,
    ( e13 = op1(e12,e12)
    | e10 = op1(e12,e12)
    | e12 = op1(e12,e12)
    | e11 = op1(e12,e12) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1621,plain,
    ( ~ spl42_101
    | spl42_185 ),
    inference(avatar_split_clause,[],[f252,f1388,f985]) ).

fof(f252,plain,
    ( e13 = op1(e13,e10)
    | e10 != op1(e13,e13) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f1620,plain,
    ( spl42_90
    | ~ spl42_214 ),
    inference(avatar_split_clause,[],[f256,f1528,f930]) ).

fof(f930,plain,
    ( spl42_90
  <=> e12 = op1(e12,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_90])]) ).

fof(f256,plain,
    ( e13 != op1(e12,e12)
    | e12 = op1(e12,e13) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f1608,plain,
    ( spl42_178
    | spl42_60
    | spl42_134
    | spl42_61 ),
    inference(avatar_split_clause,[],[f405,f799,f1127,f794,f1352]) ).

fof(f405,plain,
    ( e21 = op2(e21,e22)
    | e21 = op2(e21,e23)
    | e21 = op2(e21,e20)
    | e21 = op2(e21,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1570,plain,
    ( spl42_155
    | spl42_184
    | spl42_219
    | spl42_220 ),
    inference(avatar_split_clause,[],[f188,f1567,f1563,f1384,f1236]) ).

fof(f188,plain,
    ( e10 = op1(e13,e11)
    | e11 = op1(e13,e11)
    | e13 = op1(e13,e11)
    | e12 = op1(e13,e11) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1559,plain,
    ~ spl42_138,
    inference(avatar_split_clause,[],[f538,f1147]) ).

fof(f538,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f8]) ).

fof(f1558,plain,
    ( spl42_218
    | spl42_172
    | spl42_67
    | spl42_77 ),
    inference(avatar_split_clause,[],[f176,f871,f825,f1320,f1555]) ).

fof(f176,plain,
    ( e12 = op1(e10,e12)
    | e10 = op1(e10,e12)
    | e11 = op1(e10,e12)
    | e13 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1531,plain,
    ( spl42_213
    | spl42_131
    | spl42_214
    | spl42_145 ),
    inference(avatar_split_clause,[],[f461,f1182,f1528,f1112,f1524]) ).

fof(f461,plain,
    ( e13 = op1(e12,e13)
    | e13 = op1(e12,e12)
    | e13 = op1(e12,e10)
    | e13 = op1(e12,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1414,plain,
    ( spl42_187
    | spl42_188
    | spl42_189
    | spl42_190 ),
    inference(avatar_split_clause,[],[f187,f1411,f1407,f1403,f1399]) ).

fof(f187,plain,
    ( e11 = op1(e11,e10)
    | e12 = op1(e11,e10)
    | e10 = op1(e11,e10)
    | e13 = op1(e11,e10) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1377,plain,
    spl42_118,
    inference(avatar_split_clause,[],[f1376,f1057]) ).

fof(f1376,plain,
    e22 = h4(e12),
    inference(forward_demodulation,[],[f1375,f788]) ).

fof(f1375,plain,
    op2(e21,e23) = h4(e12),
    inference(forward_demodulation,[],[f467,f321]) ).

fof(f467,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = h4(e12),
    inference(cnf_transformation,[],[f17]) ).

fof(f1305,plain,
    ( ~ spl42_114
    | ~ spl42_168 ),
    inference(avatar_split_clause,[],[f271,f1302,f1041]) ).

fof(f1041,plain,
    ( spl42_114
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_114])]) ).

fof(f271,plain,
    ( e21 != h4(e11)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ( e21 != h4(e13)
      & e21 != h4(e11)
      & e21 != h4(e10)
      & e21 != h4(e12) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( ( e21 != h4(e13)
      & e21 != h4(e11)
      & e21 != h4(e10)
      & e21 != h4(e12) )
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f1274,plain,
    ( spl42_73
    | ~ spl42_4 ),
    inference(avatar_split_clause,[],[f380,f557,f852]) ).

fof(f557,plain,
    ( spl42_4
  <=> e23 = op2(e22,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).

fof(f380,plain,
    ( e23 != op2(e22,e22)
    | e22 = op2(e22,e23) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f1273,plain,
    ( spl42_4
    | spl42_86
    | spl42_161
    | spl42_162 ),
    inference(avatar_split_clause,[],[f413,f1270,f1266,f911,f557]) ).

fof(f413,plain,
    ( e23 = op2(e21,e22)
    | e23 = op2(e20,e22)
    | e23 = op2(e23,e22)
    | e23 = op2(e22,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1258,plain,
    ( ~ spl42_158
    | spl42_159 ),
    inference(avatar_split_clause,[],[f246,f1255,f1251]) ).

fof(f246,plain,
    ( e10 = op1(e10,e11)
    | op1(e10,e10) != e11 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f1175,plain,
    ( spl42_60
    | spl42_143
    | spl42_66 ),
    inference(avatar_split_clause,[],[f1170,f820,f1172,f794]) ).

fof(f1170,plain,
    ( e20 = op2(e21,e20)
    | e23 = op2(e21,e20)
    | e21 = op2(e21,e20) ),
    inference(subsumption_resolution,[],[f117,f965]) ).

fof(f117,plain,
    ( e21 = op2(e21,e20)
    | e20 = op2(e21,e20)
    | e23 = op2(e21,e20)
    | e22 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1169,plain,
    ( spl42_141
    | ~ spl42_142 ),
    inference(avatar_split_clause,[],[f381,f1166,f1162]) ).

fof(f381,plain,
    ( e20 != op2(e23,e23)
    | e23 = op2(e23,e20) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f1115,plain,
    ( spl42_128
    | spl42_129
    | spl42_130
    | spl42_131 ),
    inference(avatar_split_clause,[],[f177,f1112,f1108,f1104,f1100]) ).

fof(f177,plain,
    ( e13 = op1(e12,e10)
    | e12 = op1(e12,e10)
    | e11 = op1(e12,e10)
    | e10 = op1(e12,e10) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1080,plain,
    ( ~ spl42_105
    | ~ spl42_106
    | ~ spl42_107
    | ~ spl42_108
    | ~ spl42_109
    | ~ spl42_110
    | ~ spl42_111
    | spl42_80
    | ~ spl42_112
    | spl42_113
    | spl42_114
    | ~ spl42_115
    | ~ spl42_116
    | ~ spl42_117
    | ~ spl42_118
    | ~ spl42_119
    | ~ spl42_120
    | ~ spl42_121
    | ~ spl42_122
    | ~ spl42_123 ),
    inference(avatar_split_clause,[],[f1003,f1077,f1073,f1069,f1065,f1061,f1057,f1053,f1049,f1045,f1041,f1037,f1033,f884,f1029,f1025,f1021,f1017,f1013,f1009,f1005]) ).

fof(f1003,plain,
    ( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | e22 != h4(e12)
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | sP23
    | sP22
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | sP21
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(e12) != op2(h4(e11),h4(e13)) ),
    inference(forward_demodulation,[],[f316,f943]) ).

fof(f316,plain,
    ( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | sP22
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | sP23
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | sP21
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | e22 != h4(e12)
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | ( e22 != h2(e12)
        & e22 != h2(e11)
        & e22 != h2(e10)
        & e22 != h2(e13) )
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | sP26
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | sP25
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | sP24 )
    & ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | ( e22 != h4(e12)
        & e22 != h4(e10)
        & e22 != h4(e11)
        & e22 != h4(e13) )
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | sP23
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | sP22
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | sP21
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) )
    & ( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | ( e23 != h1(e11)
        & e23 != h1(e13)
        & e23 != h1(e10)
        & e23 != h1(e12) )
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | sP20
      | sP19
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | sP18 )
    & ( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | ( e20 != h3(e10)
        & e20 != h3(e13)
        & e20 != h3(e12)
        & e20 != h3(e11) )
      | sP17
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | sP16
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | sP15
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ) ),
    inference(definition_folding,[],[f20,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37]) ).

fof(f37,plain,
    ( ( e21 != h3(e10)
      & e21 != h3(e11)
      & e21 != h3(e12)
      & e21 != h3(e13) )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f38,plain,
    ( ( e23 != h3(e10)
      & e23 != h3(e12)
      & e23 != h3(e13)
      & e23 != h3(e11) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f39,plain,
    ( ( e22 != h3(e12)
      & e22 != h3(e11)
      & e22 != h3(e13)
      & e22 != h3(e10) )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f40,plain,
    ( ( e22 != h1(e12)
      & e22 != h1(e13)
      & e22 != h1(e10)
      & e22 != h1(e11) )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f41,plain,
    ( ( e21 != h1(e10)
      & e21 != h1(e13)
      & e21 != h1(e12)
      & e21 != h1(e11) )
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f42,plain,
    ( ( e20 != h1(e12)
      & e20 != h1(e10)
      & e20 != h1(e11)
      & e20 != h1(e13) )
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f46,plain,
    ( ( e20 != h2(e10)
      & e20 != h2(e13)
      & e20 != h2(e11)
      & e20 != h2(e12) )
    | ~ sP24 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

fof(f47,plain,
    ( ( e23 != h2(e12)
      & e23 != h2(e11)
      & e23 != h2(e10)
      & e23 != h2(e13) )
    | ~ sP25 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f48,plain,
    ( ( e21 != h2(e10)
      & e21 != h2(e11)
      & e21 != h2(e12)
      & e21 != h2(e13) )
    | ~ sP26 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f20,plain,
    ( ( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | ( e22 != h2(e12)
        & e22 != h2(e11)
        & e22 != h2(e10)
        & e22 != h2(e13) )
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | ( e21 != h2(e10)
        & e21 != h2(e11)
        & e21 != h2(e12)
        & e21 != h2(e13) )
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( e23 != h2(e12)
        & e23 != h2(e11)
        & e23 != h2(e10)
        & e23 != h2(e13) )
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | ( e20 != h2(e10)
        & e20 != h2(e13)
        & e20 != h2(e11)
        & e20 != h2(e12) ) )
    & ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | ( e22 != h4(e12)
        & e22 != h4(e10)
        & e22 != h4(e11)
        & e22 != h4(e13) )
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | ( e21 != h4(e13)
        & e21 != h4(e11)
        & e21 != h4(e10)
        & e21 != h4(e12) )
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | ( e23 != h4(e10)
        & e23 != h4(e13)
        & e23 != h4(e11)
        & e23 != h4(e12) )
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | ( e20 != h4(e13)
        & e20 != h4(e12)
        & e20 != h4(e11)
        & e20 != h4(e10) )
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) )
    & ( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | ( e23 != h1(e11)
        & e23 != h1(e13)
        & e23 != h1(e10)
        & e23 != h1(e12) )
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | ( e20 != h1(e12)
        & e20 != h1(e10)
        & e20 != h1(e11)
        & e20 != h1(e13) )
      | ( e21 != h1(e10)
        & e21 != h1(e13)
        & e21 != h1(e12)
        & e21 != h1(e11) )
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | ( e22 != h1(e12)
        & e22 != h1(e13)
        & e22 != h1(e10)
        & e22 != h1(e11) ) )
    & ( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | ( e20 != h3(e10)
        & e20 != h3(e13)
        & e20 != h3(e12)
        & e20 != h3(e11) )
      | ( e22 != h3(e12)
        & e22 != h3(e11)
        & e22 != h3(e13)
        & e22 != h3(e10) )
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | ( e23 != h3(e10)
        & e23 != h3(e12)
        & e23 != h3(e13)
        & e23 != h3(e11) )
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | ( e21 != h3(e10)
        & e21 != h3(e11)
        & e21 != h3(e12)
        & e21 != h3(e13) )
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ( ( h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
        & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
        & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
        & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
        & h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
        & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
        & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
        & ( e22 = h1(e12)
          | e22 = h1(e10)
          | e22 = h1(e13)
          | e22 = h1(e11) )
        & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
        & ( e23 = h1(e11)
          | e23 = h1(e10)
          | e23 = h1(e12)
          | e23 = h1(e13) )
        & ( e21 = h1(e11)
          | e21 = h1(e12)
          | e21 = h1(e13)
          | e21 = h1(e10) )
        & ( e20 = h1(e12)
          | e20 = h1(e13)
          | e20 = h1(e10)
          | e20 = h1(e11) )
        & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
        & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
        & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
        & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
        & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
        & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
        & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
        & h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) )
      | ( h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & ( e21 = h4(e11)
          | e21 = h4(e13)
          | e21 = h4(e10)
          | e21 = h4(e12) )
        & ( e22 = h4(e10)
          | e22 = h4(e11)
          | e22 = h4(e12)
          | e22 = h4(e13) )
        & ( e20 = h4(e10)
          | e20 = h4(e11)
          | e20 = h4(e12)
          | e20 = h4(e13) )
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & ( e23 = h4(e13)
          | e23 = h4(e10)
          | e23 = h4(e11)
          | e23 = h4(e12) )
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
      | ( ( e20 = h3(e11)
          | e20 = h3(e10)
          | e20 = h3(e13)
          | e20 = h3(e12) )
        & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
        & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
        & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
        & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
        & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
        & ( e22 = h3(e13)
          | e22 = h3(e10)
          | e22 = h3(e11)
          | e22 = h3(e12) )
        & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
        & ( e23 = h3(e10)
          | e23 = h3(e13)
          | e23 = h3(e12)
          | e23 = h3(e11) )
        & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
        & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
        & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
        & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
        & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
        & ( e21 = h3(e10)
          | e21 = h3(e11)
          | e21 = h3(e12)
          | e21 = h3(e13) )
        & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
        & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
        & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
        & h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
        & h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) )
      | ( ( e22 = h2(e13)
          | e22 = h2(e10)
          | e22 = h2(e11)
          | e22 = h2(e12) )
        & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
        & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
        & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
        & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
        & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
        & h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
        & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
        & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
        & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
        & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
        & ( e20 = h2(e13)
          | e20 = h2(e10)
          | e20 = h2(e11)
          | e20 = h2(e12) )
        & ( e21 = h2(e11)
          | e21 = h2(e12)
          | e21 = h2(e10)
          | e21 = h2(e13) )
        & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
        & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
        & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
        & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
        & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
        & ( e23 = h2(e11)
          | e23 = h2(e12)
          | e23 = h2(e13)
          | e23 = h2(e10) )
        & h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ( ( h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & ( e22 = h1(e12)
        | e22 = h1(e10)
        | e22 = h1(e13)
        | e22 = h1(e11) )
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & ( e23 = h1(e11)
        | e23 = h1(e10)
        | e23 = h1(e12)
        | e23 = h1(e13) )
      & ( e21 = h1(e11)
        | e21 = h1(e12)
        | e21 = h1(e13)
        | e21 = h1(e10) )
      & ( e20 = h1(e12)
        | e20 = h1(e13)
        | e20 = h1(e10)
        | e20 = h1(e11) )
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) )
    | ( h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & ( e21 = h4(e11)
        | e21 = h4(e13)
        | e21 = h4(e10)
        | e21 = h4(e12) )
      & ( e22 = h4(e10)
        | e22 = h4(e11)
        | e22 = h4(e12)
        | e22 = h4(e13) )
      & ( e20 = h4(e10)
        | e20 = h4(e11)
        | e20 = h4(e12)
        | e20 = h4(e13) )
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & ( e23 = h4(e13)
        | e23 = h4(e10)
        | e23 = h4(e11)
        | e23 = h4(e12) )
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
    | ( ( e20 = h3(e11)
        | e20 = h3(e10)
        | e20 = h3(e13)
        | e20 = h3(e12) )
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & ( e22 = h3(e13)
        | e22 = h3(e10)
        | e22 = h3(e11)
        | e22 = h3(e12) )
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & ( e23 = h3(e10)
        | e23 = h3(e13)
        | e23 = h3(e12)
        | e23 = h3(e11) )
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & ( e21 = h3(e10)
        | e21 = h3(e11)
        | e21 = h3(e12)
        | e21 = h3(e13) )
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) )
    | ( ( e22 = h2(e13)
        | e22 = h2(e10)
        | e22 = h2(e11)
        | e22 = h2(e12) )
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & ( e20 = h2(e13)
        | e20 = h2(e10)
        | e20 = h2(e11)
        | e20 = h2(e12) )
      & ( e21 = h2(e11)
        | e21 = h2(e12)
        | e21 = h2(e10)
        | e21 = h2(e13) )
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & ( e23 = h2(e11)
        | e23 = h2(e12)
        | e23 = h2(e13)
        | e23 = h2(e10) )
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f945,plain,
    ~ spl42_90,
    inference(avatar_split_clause,[],[f944,f930]) ).

fof(f944,plain,
    e12 != op1(e12,e13),
    inference(backward_demodulation,[],[f490,f943]) ).

fof(f490,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f860,plain,
    ( spl42_74
    | spl42_63
    | spl42_4
    | spl42_55 ),
    inference(avatar_split_clause,[],[f114,f770,f557,f807,f857]) ).

fof(f114,plain,
    ( e20 = op2(e22,e22)
    | e23 = op2(e22,e22)
    | e21 = op2(e22,e22)
    | e22 = op2(e22,e22) ),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG121+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 14:54:25 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.53  % (21439)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53  % (21437)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.55  % (21439)Instruction limit reached!
% 0.18/0.55  % (21439)------------------------------
% 0.18/0.55  % (21439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (21439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (21439)Termination reason: Unknown
% 0.18/0.55  % (21439)Termination phase: Preprocessing 2
% 0.18/0.55  
% 0.18/0.55  % (21439)Memory used [KB]: 1535
% 0.18/0.55  % (21439)Time elapsed: 0.004 s
% 0.18/0.55  % (21439)Instructions burned: 3 (million)
% 0.18/0.55  % (21439)------------------------------
% 0.18/0.55  % (21439)------------------------------
% 0.18/0.55  % (21438)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.56  % (21455)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.57  % (21463)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.57  % (21455)Instruction limit reached!
% 0.18/0.57  % (21455)------------------------------
% 0.18/0.57  % (21455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (21455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (21455)Termination reason: Unknown
% 0.18/0.57  % (21455)Termination phase: SInE selection
% 0.18/0.57  
% 0.18/0.57  % (21455)Memory used [KB]: 1535
% 0.18/0.57  % (21455)Time elapsed: 0.006 s
% 0.18/0.57  % (21455)Instructions burned: 3 (million)
% 0.18/0.57  % (21455)------------------------------
% 0.18/0.57  % (21455)------------------------------
% 1.55/0.58  % (21447)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)
% 1.55/0.58  % (21438)Instruction limit reached!
% 1.55/0.58  % (21438)------------------------------
% 1.55/0.58  % (21438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58  % (21461)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)
% 1.55/0.58  % (21454)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.55/0.58  % (21438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58  % (21438)Termination reason: Unknown
% 1.55/0.58  % (21438)Termination phase: Property scanning
% 1.55/0.58  
% 1.55/0.58  % (21438)Memory used [KB]: 1663
% 1.55/0.58  % (21438)Time elapsed: 0.009 s
% 1.55/0.58  % (21438)Instructions burned: 13 (million)
% 1.55/0.58  % (21438)------------------------------
% 1.55/0.58  % (21438)------------------------------
% 1.55/0.58  % (21446)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)
% 1.55/0.58  % (21445)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)
% 1.55/0.58  % (21447)Instruction limit reached!
% 1.55/0.58  % (21447)------------------------------
% 1.55/0.58  % (21447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59  % (21454)Instruction limit reached!
% 1.55/0.59  % (21454)------------------------------
% 1.55/0.59  % (21454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59  % (21454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59  % (21454)Termination reason: Unknown
% 1.55/0.59  % (21454)Termination phase: Preprocessing 2
% 1.55/0.59  
% 1.55/0.59  % (21454)Memory used [KB]: 1535
% 1.55/0.59  % (21454)Time elapsed: 0.005 s
% 1.55/0.59  % (21454)Instructions burned: 3 (million)
% 1.55/0.59  % (21454)------------------------------
% 1.55/0.59  % (21454)------------------------------
% 1.82/0.59  % (21443)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)
% 1.82/0.59  % (21449)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)
% 1.82/0.59  % (21450)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)
% 1.82/0.59  % (21448)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)
% 1.82/0.60  % (21448)Instruction limit reached!
% 1.82/0.60  % (21448)------------------------------
% 1.82/0.60  % (21448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60  % (21448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60  % (21448)Termination reason: Unknown
% 1.82/0.60  % (21448)Termination phase: Property scanning
% 1.82/0.60  
% 1.82/0.60  % (21448)Memory used [KB]: 1663
% 1.82/0.60  % (21448)Time elapsed: 0.005 s
% 1.82/0.60  % (21448)Instructions burned: 7 (million)
% 1.82/0.60  % (21448)------------------------------
% 1.82/0.60  % (21448)------------------------------
% 1.82/0.60  % (21447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60  % (21447)Termination reason: Unknown
% 1.82/0.60  % (21447)Termination phase: Property scanning
% 1.82/0.60  
% 1.82/0.60  % (21447)Memory used [KB]: 1663
% 1.82/0.60  % (21447)Time elapsed: 0.013 s
% 1.82/0.60  % (21447)Instructions burned: 14 (million)
% 1.82/0.60  % (21447)------------------------------
% 1.82/0.60  % (21447)------------------------------
% 1.82/0.60  % (21460)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)
% 1.82/0.61  % (21452)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)
% 1.82/0.61  % (21452)Instruction limit reached!
% 1.82/0.61  % (21452)------------------------------
% 1.82/0.61  % (21452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61  % (21452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (21452)Termination reason: Unknown
% 1.82/0.61  % (21452)Termination phase: Property scanning
% 1.82/0.61  
% 1.82/0.61  % (21452)Memory used [KB]: 1663
% 1.82/0.61  % (21452)Time elapsed: 0.006 s
% 1.82/0.61  % (21452)Instructions burned: 7 (million)
% 1.82/0.61  % (21452)------------------------------
% 1.82/0.61  % (21452)------------------------------
% 1.82/0.61  % (21441)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)
% 1.82/0.61  % (21462)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)
% 1.82/0.61  % (21442)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)
% 1.82/0.62  % (21444)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)
% 1.82/0.62  % (21440)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)
% 1.82/0.62  % (21449)Instruction limit reached!
% 1.82/0.62  % (21449)------------------------------
% 1.82/0.62  % (21449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62  % (21449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62  % (21449)Termination reason: Unknown
% 1.82/0.62  % (21449)Termination phase: Equality proxy
% 1.82/0.62  
% 1.82/0.62  % (21449)Memory used [KB]: 1791
% 1.82/0.62  % (21449)Time elapsed: 0.011 s
% 1.82/0.62  % (21449)Instructions burned: 16 (million)
% 1.82/0.62  % (21449)------------------------------
% 1.82/0.62  % (21449)------------------------------
% 1.82/0.62  % (21465)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)
% 1.82/0.63  % (21457)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)
% 1.82/0.63  % (21466)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)
% 1.82/0.63  % (21464)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)
% 1.82/0.63  % (21441)Instruction limit reached!
% 1.82/0.63  % (21441)------------------------------
% 1.82/0.63  % (21441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.63  % (21465)Instruction limit reached!
% 1.82/0.63  % (21465)------------------------------
% 1.82/0.63  % (21465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64  % (21458)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)
% 1.82/0.64  % (21441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64  % (21441)Termination reason: Unknown
% 1.82/0.64  % (21441)Termination phase: Clausification
% 1.82/0.64  
% 1.82/0.64  % (21441)Memory used [KB]: 6140
% 1.82/0.64  % (21441)Time elapsed: 0.012 s
% 1.82/0.64  % (21441)Instructions burned: 13 (million)
% 1.82/0.64  % (21441)------------------------------
% 1.82/0.64  % (21441)------------------------------
% 1.82/0.64  % (21465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64  % (21465)Termination reason: Unknown
% 1.82/0.64  % (21465)Termination phase: Property scanning
% 1.82/0.64  
% 1.82/0.64  % (21465)Memory used [KB]: 1663
% 1.82/0.64  % (21465)Time elapsed: 0.009 s
% 1.82/0.64  % (21465)Instructions burned: 9 (million)
% 1.82/0.64  % (21465)------------------------------
% 1.82/0.64  % (21465)------------------------------
% 1.82/0.64  % (21456)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)
% 1.82/0.64  % (21446)Instruction limit reached!
% 1.82/0.64  % (21446)------------------------------
% 1.82/0.64  % (21446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64  % (21446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64  % (21446)Termination reason: Unknown
% 1.82/0.64  % (21446)Termination phase: Saturation
% 1.82/0.64  
% 1.82/0.64  % (21446)Memory used [KB]: 6780
% 1.82/0.64  % (21446)Time elapsed: 0.032 s
% 1.82/0.64  % (21446)Instructions burned: 33 (million)
% 1.82/0.64  % (21446)------------------------------
% 1.82/0.64  % (21446)------------------------------
% 1.82/0.64  % (21442)Instruction limit reached!
% 1.82/0.64  % (21442)------------------------------
% 1.82/0.64  % (21442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64  % (21442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64  % (21442)Termination reason: Unknown
% 1.82/0.64  % (21442)Termination phase: Saturation
% 1.82/0.64  
% 1.82/0.64  % (21442)Memory used [KB]: 1791
% 1.82/0.64  % (21442)Time elapsed: 0.011 s
% 1.82/0.64  % (21442)Instructions burned: 15 (million)
% 1.82/0.64  % (21442)------------------------------
% 1.82/0.64  % (21442)------------------------------
% 1.82/0.64  % (21459)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)
% 2.27/0.65  % (21461)Refutation not found, incomplete strategy% (21461)------------------------------
% 2.27/0.65  % (21461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65  % (21461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (21461)Termination reason: Refutation not found, incomplete strategy
% 2.27/0.65  
% 2.27/0.65  % (21461)Memory used [KB]: 7291
% 2.27/0.65  % (21461)Time elapsed: 0.217 s
% 2.27/0.65  % (21461)Instructions burned: 40 (million)
% 2.27/0.65  % (21461)------------------------------
% 2.27/0.65  % (21461)------------------------------
% 2.27/0.65  % (21451)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)
% 2.27/0.65  % (21451)Instruction limit reached!
% 2.27/0.65  % (21451)------------------------------
% 2.27/0.65  % (21451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65  % (21451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (21451)Termination reason: Unknown
% 2.27/0.65  % (21451)Termination phase: Naming
% 2.27/0.65  
% 2.27/0.65  % (21451)Memory used [KB]: 1535
% 2.27/0.65  % (21451)Time elapsed: 0.004 s
% 2.27/0.65  % (21451)Instructions burned: 4 (million)
% 2.27/0.65  % (21451)------------------------------
% 2.27/0.65  % (21451)------------------------------
% 2.27/0.65  % (21453)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)
% 2.31/0.66  % (21456)Instruction limit reached!
% 2.31/0.66  % (21456)------------------------------
% 2.31/0.66  % (21456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.66  % (21456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.66  % (21456)Termination reason: Unknown
% 2.31/0.66  % (21456)Termination phase: Property scanning
% 2.31/0.66  
% 2.31/0.66  % (21456)Memory used [KB]: 1663
% 2.31/0.66  % (21456)Time elapsed: 0.008 s
% 2.31/0.66  % (21456)Instructions burned: 11 (million)
% 2.31/0.66  % (21456)------------------------------
% 2.31/0.66  % (21456)------------------------------
% 2.31/0.67  % (21445)Instruction limit reached!
% 2.31/0.67  % (21445)------------------------------
% 2.31/0.67  % (21445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67  % (21445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67  % (21445)Termination reason: Unknown
% 2.31/0.67  % (21445)Termination phase: Saturation
% 2.31/0.67  
% 2.31/0.67  % (21445)Memory used [KB]: 6908
% 2.31/0.67  % (21445)Time elapsed: 0.053 s
% 2.31/0.67  % (21445)Instructions burned: 49 (million)
% 2.31/0.67  % (21445)------------------------------
% 2.31/0.67  % (21445)------------------------------
% 2.31/0.67  % (21457)Instruction limit reached!
% 2.31/0.67  % (21457)------------------------------
% 2.31/0.67  % (21457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67  % (21457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67  % (21457)Termination reason: Unknown
% 2.31/0.67  % (21457)Termination phase: Equality proxy
% 2.31/0.67  
% 2.31/0.67  % (21457)Memory used [KB]: 1918
% 2.31/0.67  % (21457)Time elapsed: 0.020 s
% 2.31/0.67  % (21457)Instructions burned: 30 (million)
% 2.31/0.67  % (21457)------------------------------
% 2.31/0.67  % (21457)------------------------------
% 2.31/0.68  % (21464)Instruction limit reached!
% 2.31/0.68  % (21464)------------------------------
% 2.31/0.68  % (21464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68  % (21464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68  % (21464)Termination reason: Unknown
% 2.31/0.68  % (21464)Termination phase: Saturation
% 2.31/0.68  
% 2.31/0.68  % (21464)Memory used [KB]: 6908
% 2.31/0.68  % (21464)Time elapsed: 0.254 s
% 2.31/0.68  % (21464)Instructions burned: 25 (million)
% 2.31/0.68  % (21464)------------------------------
% 2.31/0.68  % (21464)------------------------------
% 2.31/0.68  % (21466)Instruction limit reached!
% 2.31/0.68  % (21466)------------------------------
% 2.31/0.68  % (21466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68  % (21466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68  % (21466)Termination reason: Unknown
% 2.31/0.68  % (21466)Termination phase: Clausification
% 2.31/0.68  
% 2.31/0.68  % (21466)Memory used [KB]: 13176
% 2.31/0.68  % (21466)Time elapsed: 0.021 s
% 2.31/0.68  % (21466)Instructions burned: 24 (million)
% 2.31/0.68  % (21466)------------------------------
% 2.31/0.68  % (21466)------------------------------
% 2.31/0.70  % (21450)Instruction limit reached!
% 2.31/0.70  % (21450)------------------------------
% 2.31/0.70  % (21450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.70  % (21450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.70  % (21450)Termination reason: Unknown
% 2.31/0.70  % (21450)Termination phase: Saturation
% 2.31/0.70  
% 2.31/0.70  % (21450)Memory used [KB]: 7036
% 2.31/0.70  % (21450)Time elapsed: 0.036 s
% 2.31/0.70  % (21450)Instructions burned: 52 (million)
% 2.31/0.70  % (21450)------------------------------
% 2.31/0.70  % (21450)------------------------------
% 2.31/0.70  % (21443)Instruction limit reached!
% 2.31/0.70  % (21443)------------------------------
% 2.31/0.70  % (21443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.70  % (21443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.70  % (21443)Termination reason: Unknown
% 2.31/0.70  % (21443)Termination phase: Saturation
% 2.31/0.70  
% 2.31/0.70  % (21443)Memory used [KB]: 7164
% 2.31/0.70  % (21443)Time elapsed: 0.277 s
% 2.31/0.70  % (21443)Instructions burned: 39 (million)
% 2.31/0.70  % (21443)------------------------------
% 2.31/0.70  % (21443)------------------------------
% 2.52/0.71  % (21444)Instruction limit reached!
% 2.52/0.71  % (21444)------------------------------
% 2.52/0.71  % (21444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.71  % (21444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.71  % (21444)Termination reason: Unknown
% 2.52/0.71  % (21444)Termination phase: Saturation
% 2.52/0.71  
% 2.52/0.71  % (21444)Memory used [KB]: 6908
% 2.52/0.71  % (21444)Time elapsed: 0.030 s
% 2.52/0.71  % (21444)Instructions burned: 40 (million)
% 2.52/0.71  % (21444)------------------------------
% 2.52/0.71  % (21444)------------------------------
% 2.52/0.72  % (21463)Refutation not found, incomplete strategy% (21463)------------------------------
% 2.52/0.72  % (21463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72  % (21463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72  % (21463)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.72  
% 2.52/0.72  % (21463)Memory used [KB]: 7164
% 2.52/0.72  % (21463)Time elapsed: 0.306 s
% 2.52/0.72  % (21463)Instructions burned: 67 (million)
% 2.52/0.72  % (21463)------------------------------
% 2.52/0.72  % (21463)------------------------------
% 2.52/0.72  % (21460)Instruction limit reached!
% 2.52/0.72  % (21460)------------------------------
% 2.52/0.72  % (21460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72  % (21460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72  % (21460)Termination reason: Unknown
% 2.52/0.72  % (21460)Termination phase: Saturation
% 2.52/0.72  
% 2.52/0.72  % (21460)Memory used [KB]: 2302
% 2.52/0.72  % (21460)Time elapsed: 0.252 s
% 2.52/0.72  % (21460)Instructions burned: 46 (million)
% 2.52/0.72  % (21460)------------------------------
% 2.52/0.72  % (21460)------------------------------
% 2.52/0.72  % (21440)Instruction limit reached!
% 2.52/0.72  % (21440)------------------------------
% 2.52/0.72  % (21440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72  % (21440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72  % (21440)Termination reason: Unknown
% 2.52/0.72  % (21440)Termination phase: Saturation
% 2.52/0.72  
% 2.52/0.72  % (21440)Memory used [KB]: 6908
% 2.52/0.72  % (21440)Time elapsed: 0.038 s
% 2.52/0.72  % (21440)Instructions burned: 52 (million)
% 2.52/0.72  % (21440)------------------------------
% 2.52/0.72  % (21440)------------------------------
% 2.65/0.77  % (21458)Refutation not found, incomplete strategy% (21458)------------------------------
% 2.65/0.77  % (21458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.77  % (21462)First to succeed.
% 2.65/0.78  % (21458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.78  % (21458)Termination reason: Refutation not found, incomplete strategy
% 2.65/0.78  
% 2.65/0.78  % (21453)Instruction limit reached!
% 2.65/0.78  % (21453)------------------------------
% 2.65/0.78  % (21453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.78  % (21453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.78  % (21453)Termination reason: Unknown
% 2.65/0.78  % (21453)Termination phase: Saturation
% 2.65/0.78  
% 2.65/0.78  % (21453)Memory used [KB]: 7036
% 2.65/0.78  % (21453)Time elapsed: 0.041 s
% 2.65/0.78  % (21453)Instructions burned: 50 (million)
% 2.65/0.78  % (21453)------------------------------
% 2.65/0.78  % (21453)------------------------------
% 2.65/0.78  % (21458)Memory used [KB]: 6908
% 2.65/0.78  % (21458)Time elapsed: 0.355 s
% 2.65/0.78  % (21458)Instructions burned: 70 (million)
% 2.65/0.78  % (21458)------------------------------
% 2.65/0.78  % (21458)------------------------------
% 2.65/0.80  % (21505)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)
% 2.65/0.81  % (21462)Refutation found. Thanks to Tanya!
% 2.65/0.81  % SZS status Theorem for theBenchmark
% 2.65/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 2.65/0.81  % (21462)------------------------------
% 2.65/0.81  % (21462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.81  % (21462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.81  % (21462)Termination reason: Refutation
% 2.65/0.81  
% 2.65/0.81  % (21462)Memory used [KB]: 7931
% 2.65/0.81  % (21462)Time elapsed: 0.098 s
% 2.65/0.81  % (21462)Instructions burned: 73 (million)
% 2.65/0.81  % (21462)------------------------------
% 2.65/0.81  % (21462)------------------------------
% 2.65/0.81  % (21436)Success in time 0.472 s
%------------------------------------------------------------------------------