%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG058+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 : n018.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 15:39:17 EDT 2022

% Result   : Theorem 2.12s 0.70s
% Output   : Refutation 2.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  242
% Syntax   : Number of formulae    :  549 (  67 unt;   0 def)
%            Number of atoms       : 3618 (2634 equ)
%            Maximal formula atoms :  450 (   6 avg)
%            Number of connectives : 4800 (1731   ~;1436   |;1552   &)
%                                         (  81 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  237 ( 235 usr; 236 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3673,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1314,f1470,f1501,f1754,f1769,f1820,f1888,f1916,f1934,f2091,f2118,f2166,f2209,f2213,f2215,f2223,f2251,f2273,f2276,f2280,f2283,f2294,f2295,f2322,f2328,f2344,f2349,f2364,f2400,f2424,f2429,f2431,f2455,f2489,f2500,f2506,f2510,f2520,f2544,f2548,f2560,f2575,f2583,f2589,f2603,f2607,f2622,f2630,f2650,f2653,f2656,f2665,f2670,f2673,f2679,f2699,f2827,f2854,f2865,f2866,f2900,f2916,f2929,f2976,f3100,f3116,f3138,f3161,f3199,f3218,f3227,f3256,f3276,f3281,f3298,f3305,f3313,f3326,f3347,f3363,f3501,f3601,f3641]) ).

fof(f3641,plain,
    ( ~ spl154_82
    | ~ spl154_226 ),
    inference(avatar_contradiction_clause,[],[f3640]) ).

fof(f3640,plain,
    ( $false
    | ~ spl154_82
    | ~ spl154_226 ),
    inference(subsumption_resolution,[],[f3639,f826]) ).

fof(f826,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

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

fof(f3639,plain,
    ( e2 = e4
    | ~ spl154_82
    | ~ spl154_226 ),
    inference(backward_demodulation,[],[f1321,f2056]) ).

fof(f2056,plain,
    ( e2 = op(e3,e3)
    | ~ spl154_226 ),
    inference(avatar_component_clause,[],[f2054]) ).

fof(f2054,plain,
    ( spl154_226
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_226])]) ).

fof(f1321,plain,
    ( e4 = op(e3,e3)
    | ~ spl154_82 ),
    inference(avatar_component_clause,[],[f1320]) ).

fof(f1320,plain,
    ( spl154_82
  <=> e4 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_82])]) ).

fof(f3601,plain,
    ( spl154_181
    | ~ spl154_70 ),
    inference(avatar_split_clause,[],[f3593,f1266,f1806]) ).

fof(f1806,plain,
    ( spl154_181
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_181])]) ).

fof(f1266,plain,
    ( spl154_70
  <=> e0 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_70])]) ).

fof(f3593,plain,
    ( e1 = op(e1,e0)
    | ~ spl154_70 ),
    inference(backward_demodulation,[],[f959,f1267]) ).

fof(f1267,plain,
    ( e0 = unit
    | ~ spl154_70 ),
    inference(avatar_component_clause,[],[f1266]) ).

fof(f959,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f3501,plain,
    ( ~ spl154_7
    | spl154_120 ),
    inference(avatar_contradiction_clause,[],[f3500]) ).

fof(f3500,plain,
    ( $false
    | ~ spl154_7
    | spl154_120 ),
    inference(subsumption_resolution,[],[f3491,f1490]) ).

fof(f1490,plain,
    ( e0 != op(e0,e1)
    | spl154_120 ),
    inference(avatar_component_clause,[],[f1489]) ).

fof(f1489,plain,
    ( spl154_120
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_120])]) ).

fof(f3491,plain,
    ( e0 = op(e0,e1)
    | ~ spl154_7 ),
    inference(backward_demodulation,[],[f966,f998]) ).

fof(f998,plain,
    ( e1 = unit
    | ~ spl154_7 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f997,plain,
    ( spl154_7
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_7])]) ).

fof(f966,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f3363,plain,
    ( ~ spl154_1
    | spl154_174 ),
    inference(avatar_contradiction_clause,[],[f3362]) ).

fof(f3362,plain,
    ( $false
    | ~ spl154_1
    | spl154_174 ),
    inference(subsumption_resolution,[],[f3361,f1767]) ).

fof(f1767,plain,
    ( e0 != e3
    | spl154_174 ),
    inference(avatar_component_clause,[],[f1766]) ).

fof(f1766,plain,
    ( spl154_174
  <=> e0 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_174])]) ).

fof(f3361,plain,
    ( e0 = e3
    | ~ spl154_1 ),
    inference(forward_demodulation,[],[f973,f1756]) ).

fof(f1756,plain,
    e0 = op(e1,e1),
    inference(backward_demodulation,[],[f1500,f1755]) ).

fof(f1755,plain,
    e1 = op(e3,e2),
    inference(forward_demodulation,[],[f321,f320]) ).

fof(f320,plain,
    e3 = op(e2,e2),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f321,plain,
    e1 = op(op(e2,e2),e2),
    inference(cnf_transformation,[],[f6]) ).

fof(f1500,plain,
    e0 = op(op(e3,e2),op(e3,e2)),
    inference(backward_demodulation,[],[f319,f320]) ).

fof(f319,plain,
    e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f973,plain,
    ( e3 = op(e1,e1)
    | ~ spl154_1 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f971,plain,
    ( spl154_1
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_1])]) ).

fof(f3347,plain,
    ( ~ spl154_164
    | ~ spl154_172 ),
    inference(avatar_contradiction_clause,[],[f3346]) ).

fof(f3346,plain,
    ( $false
    | ~ spl154_164
    | ~ spl154_172 ),
    inference(subsumption_resolution,[],[f3345,f1715]) ).

fof(f1715,plain,
    ( e3 = op(e0,e3)
    | ~ spl154_164 ),
    inference(avatar_component_clause,[],[f1713]) ).

fof(f1713,plain,
    ( spl154_164
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_164])]) ).

fof(f3345,plain,
    ( e3 != op(e0,e3)
    | ~ spl154_172 ),
    inference(forward_demodulation,[],[f920,f1753]) ).

fof(f1753,plain,
    ( e3 = op(e1,e3)
    | ~ spl154_172 ),
    inference(avatar_component_clause,[],[f1751]) ).

fof(f1751,plain,
    ( spl154_172
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_172])]) ).

fof(f920,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f3326,plain,
    ( ~ spl154_70
    | spl154_152 ),
    inference(avatar_contradiction_clause,[],[f3325]) ).

fof(f3325,plain,
    ( $false
    | ~ spl154_70
    | spl154_152 ),
    inference(subsumption_resolution,[],[f3186,f1650]) ).

fof(f1650,plain,
    ( e2 != op(e2,e0)
    | spl154_152 ),
    inference(avatar_component_clause,[],[f1649]) ).

fof(f1649,plain,
    ( spl154_152
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_152])]) ).

fof(f3186,plain,
    ( e2 = op(e2,e0)
    | ~ spl154_70 ),
    inference(backward_demodulation,[],[f967,f1267]) ).

fof(f967,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f3313,plain,
    ( ~ spl154_70
    | ~ spl154_90 ),
    inference(avatar_contradiction_clause,[],[f3312]) ).

fof(f3312,plain,
    ( $false
    | ~ spl154_70
    | ~ spl154_90 ),
    inference(subsumption_resolution,[],[f3311,f833]) ).

fof(f833,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f3311,plain,
    ( e0 = e2
    | ~ spl154_70
    | ~ spl154_90 ),
    inference(forward_demodulation,[],[f3188,f1356]) ).

fof(f1356,plain,
    ( e0 = op(e0,e2)
    | ~ spl154_90 ),
    inference(avatar_component_clause,[],[f1354]) ).

fof(f1354,plain,
    ( spl154_90
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_90])]) ).

fof(f3188,plain,
    ( e2 = op(e0,e2)
    | ~ spl154_70 ),
    inference(backward_demodulation,[],[f969,f1267]) ).

fof(f969,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f3305,plain,
    ( ~ spl154_8
    | ~ spl154_119 ),
    inference(avatar_split_clause,[],[f3304,f1485,f1001]) ).

fof(f1001,plain,
    ( spl154_8
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_8])]) ).

fof(f1485,plain,
    ( spl154_119
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_119])]) ).

fof(f3304,plain,
    ( e1 != op(e0,e3)
    | ~ spl154_119 ),
    inference(forward_demodulation,[],[f872,f1487]) ).

fof(f1487,plain,
    ( e1 = op(e0,e1)
    | ~ spl154_119 ),
    inference(avatar_component_clause,[],[f1485]) ).

fof(f872,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3298,plain,
    ( ~ spl154_30
    | ~ spl154_27 ),
    inference(avatar_split_clause,[],[f3296,f1085,f1097]) ).

fof(f1097,plain,
    ( spl154_30
  <=> e0 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_30])]) ).

fof(f1085,plain,
    ( spl154_27
  <=> e0 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_27])]) ).

fof(f3296,plain,
    ( e0 != op(e4,e2)
    | ~ spl154_27 ),
    inference(backward_demodulation,[],[f869,f1087]) ).

fof(f1087,plain,
    ( e0 = op(e4,e0)
    | ~ spl154_27 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f869,plain,
    op(e4,e0) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f3281,plain,
    ( ~ spl154_62
    | ~ spl154_171 ),
    inference(avatar_contradiction_clause,[],[f3280]) ).

fof(f3280,plain,
    ( $false
    | ~ spl154_62
    | ~ spl154_171 ),
    inference(subsumption_resolution,[],[f3279,f1749]) ).

fof(f1749,plain,
    ( e3 = op(e1,e0)
    | ~ spl154_171 ),
    inference(avatar_component_clause,[],[f1747]) ).

fof(f1747,plain,
    ( spl154_171
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_171])]) ).

fof(f3279,plain,
    ( e3 != op(e1,e0)
    | ~ spl154_62 ),
    inference(forward_demodulation,[],[f951,f1233]) ).

fof(f1233,plain,
    ( e3 = op(e3,e0)
    | ~ spl154_62 ),
    inference(avatar_component_clause,[],[f1232]) ).

fof(f1232,plain,
    ( spl154_62
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_62])]) ).

fof(f951,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f3276,plain,
    ( spl154_158
    | ~ spl154_70 ),
    inference(avatar_split_clause,[],[f3185,f1266,f1679]) ).

fof(f1679,plain,
    ( spl154_158
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_158])]) ).

fof(f3185,plain,
    ( e0 = op(e0,e0)
    | ~ spl154_70 ),
    inference(backward_demodulation,[],[f966,f1267]) ).

fof(f3256,plain,
    ( spl154_119
    | ~ spl154_70 ),
    inference(avatar_split_clause,[],[f3187,f1266,f1485]) ).

fof(f3187,plain,
    ( e1 = op(e0,e1)
    | ~ spl154_70 ),
    inference(backward_demodulation,[],[f968,f1267]) ).

fof(f968,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f3227,plain,
    ( spl154_164
    | ~ spl154_70 ),
    inference(avatar_split_clause,[],[f3226,f1266,f1713]) ).

fof(f3226,plain,
    ( e3 = op(e0,e3)
    | ~ spl154_70 ),
    inference(forward_demodulation,[],[f962,f1267]) ).

fof(f962,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f3218,plain,
    ( spl154_62
    | ~ spl154_70 ),
    inference(avatar_split_clause,[],[f3217,f1266,f1232]) ).

fof(f3217,plain,
    ( e3 = op(e3,e0)
    | ~ spl154_70 ),
    inference(forward_demodulation,[],[f963,f1267]) ).

fof(f963,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f3199,plain,
    ( ~ spl154_70
    | spl154_262 ),
    inference(avatar_contradiction_clause,[],[f3198]) ).

fof(f3198,plain,
    ( $false
    | ~ spl154_70
    | spl154_262 ),
    inference(subsumption_resolution,[],[f3188,f2368]) ).

fof(f2368,plain,
    ( e2 != op(e0,e2)
    | spl154_262 ),
    inference(avatar_component_clause,[],[f2366]) ).

fof(f2366,plain,
    ( spl154_262
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_262])]) ).

fof(f3161,plain,
    ( ~ spl154_229
    | ~ spl154_23 ),
    inference(avatar_split_clause,[],[f3160,f1068,f2069]) ).

fof(f2069,plain,
    ( spl154_229
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_229])]) ).

fof(f1068,plain,
    ( spl154_23
  <=> e3 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_23])]) ).

fof(f3160,plain,
    ( e3 != op(e4,e1)
    | ~ spl154_23 ),
    inference(forward_demodulation,[],[f871,f1070]) ).

fof(f1070,plain,
    ( e3 = op(e4,e4)
    | ~ spl154_23 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f871,plain,
    op(e4,e1) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3138,plain,
    ( ~ spl154_82
    | spl154_124
    | ~ spl154_169 ),
    inference(avatar_contradiction_clause,[],[f3137]) ).

fof(f3137,plain,
    ( $false
    | ~ spl154_82
    | spl154_124
    | ~ spl154_169 ),
    inference(subsumption_resolution,[],[f3136,f1518]) ).

fof(f1518,plain,
    ( e3 != e4
    | spl154_124 ),
    inference(avatar_component_clause,[],[f1516]) ).

fof(f1516,plain,
    ( spl154_124
  <=> e3 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_124])]) ).

fof(f3136,plain,
    ( e3 = e4
    | ~ spl154_82
    | ~ spl154_169 ),
    inference(forward_demodulation,[],[f1321,f1739]) ).

fof(f1739,plain,
    ( e3 = op(e3,e3)
    | ~ spl154_169 ),
    inference(avatar_component_clause,[],[f1737]) ).

fof(f1737,plain,
    ( spl154_169
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_169])]) ).

fof(f3116,plain,
    ( ~ spl154_33
    | spl154_87 ),
    inference(avatar_contradiction_clause,[],[f3115]) ).

fof(f3115,plain,
    ( $false
    | ~ spl154_33
    | spl154_87 ),
    inference(subsumption_resolution,[],[f3114,f1342]) ).

fof(f1342,plain,
    ( e0 != op(e0,e4)
    | spl154_87 ),
    inference(avatar_component_clause,[],[f1341]) ).

fof(f1341,plain,
    ( spl154_87
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_87])]) ).

fof(f3114,plain,
    ( e0 = op(e0,e4)
    | ~ spl154_33 ),
    inference(forward_demodulation,[],[f966,f1111]) ).

fof(f1111,plain,
    ( e4 = unit
    | ~ spl154_33 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f1110,plain,
    ( spl154_33
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_33])]) ).

fof(f3100,plain,
    ( spl154_27
    | ~ spl154_33 ),
    inference(avatar_contradiction_clause,[],[f3099]) ).

fof(f3099,plain,
    ( $false
    | spl154_27
    | ~ spl154_33 ),
    inference(subsumption_resolution,[],[f3098,f1086]) ).

fof(f1086,plain,
    ( e0 != op(e4,e0)
    | spl154_27 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f3098,plain,
    ( e0 = op(e4,e0)
    | ~ spl154_33 ),
    inference(forward_demodulation,[],[f964,f1111]) ).

fof(f964,plain,
    e0 = op(unit,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2976,plain,
    ( ~ spl154_82
    | ~ spl154_95 ),
    inference(avatar_contradiction_clause,[],[f2975]) ).

fof(f2975,plain,
    ( $false
    | ~ spl154_82
    | ~ spl154_95 ),
    inference(subsumption_resolution,[],[f2972,f830]) ).

fof(f830,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2972,plain,
    ( e0 = e4
    | ~ spl154_82
    | ~ spl154_95 ),
    inference(backward_demodulation,[],[f1321,f1378]) ).

fof(f1378,plain,
    ( e0 = op(e3,e3)
    | ~ spl154_95 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f1376,plain,
    ( spl154_95
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_95])]) ).

fof(f2929,plain,
    ( ~ spl154_30
    | ~ spl154_26 ),
    inference(avatar_split_clause,[],[f2928,f1081,f1097]) ).

fof(f1081,plain,
    ( spl154_26
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_26])]) ).

fof(f2928,plain,
    ( e0 != op(e4,e2)
    | ~ spl154_26 ),
    inference(forward_demodulation,[],[f927,f1083]) ).

fof(f1083,plain,
    ( e0 = op(e4,e4)
    | ~ spl154_26 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f927,plain,
    op(e4,e2) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2916,plain,
    ( ~ spl154_18
    | spl154_123 ),
    inference(avatar_contradiction_clause,[],[f2915]) ).

fof(f2915,plain,
    ( $false
    | ~ spl154_18
    | spl154_123 ),
    inference(subsumption_resolution,[],[f2914,f1512]) ).

fof(f1512,plain,
    ( e2 != e3
    | spl154_123 ),
    inference(avatar_component_clause,[],[f1510]) ).

fof(f1510,plain,
    ( spl154_123
  <=> e2 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_123])]) ).

fof(f2914,plain,
    ( e2 = e3
    | ~ spl154_18 ),
    inference(backward_demodulation,[],[f320,f2913]) ).

fof(f2913,plain,
    ( e2 = op(e2,e2)
    | ~ spl154_18 ),
    inference(forward_demodulation,[],[f967,f1047]) ).

fof(f1047,plain,
    ( e2 = unit
    | ~ spl154_18 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f1046,plain,
    ( spl154_18
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_18])]) ).

fof(f2900,plain,
    ( spl154_123
    | ~ spl154_130
    | ~ spl154_163 ),
    inference(avatar_contradiction_clause,[],[f2899]) ).

fof(f2899,plain,
    ( $false
    | spl154_123
    | ~ spl154_130
    | ~ spl154_163 ),
    inference(subsumption_resolution,[],[f2898,f1512]) ).

fof(f2898,plain,
    ( e2 = e3
    | ~ spl154_130
    | ~ spl154_163 ),
    inference(backward_demodulation,[],[f1710,f1544]) ).

fof(f1544,plain,
    ( e2 = op(e1,e4)
    | ~ spl154_130 ),
    inference(avatar_component_clause,[],[f1543]) ).

fof(f1543,plain,
    ( spl154_130
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_130])]) ).

fof(f1710,plain,
    ( e3 = op(e1,e4)
    | ~ spl154_163 ),
    inference(avatar_component_clause,[],[f1708]) ).

fof(f1708,plain,
    ( spl154_163
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_163])]) ).

fof(f2866,plain,
    ( ~ spl154_196
    | ~ spl154_181 ),
    inference(avatar_split_clause,[],[f2862,f1806,f1883]) ).

fof(f1883,plain,
    ( spl154_196
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_196])]) ).

fof(f2862,plain,
    ( op(e0,e0) != e1
    | ~ spl154_181 ),
    inference(backward_demodulation,[],[f929,f1808]) ).

fof(f1808,plain,
    ( e1 = op(e1,e0)
    | ~ spl154_181 ),
    inference(avatar_component_clause,[],[f1806]) ).

fof(f929,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2865,plain,
    ( ~ spl154_75
    | ~ spl154_181 ),
    inference(avatar_split_clause,[],[f2861,f1806,f1288]) ).

fof(f1288,plain,
    ( spl154_75
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_75])]) ).

fof(f2861,plain,
    ( e1 != op(e1,e3)
    | ~ spl154_181 ),
    inference(backward_demodulation,[],[f928,f1808]) ).

fof(f928,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2854,plain,
    ( ~ spl154_87
    | ~ spl154_90 ),
    inference(avatar_split_clause,[],[f2849,f1354,f1341]) ).

fof(f2849,plain,
    ( e0 != op(e0,e4)
    | ~ spl154_90 ),
    inference(backward_demodulation,[],[f900,f1356]) ).

fof(f900,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2827,plain,
    ( ~ spl154_262
    | ~ spl154_113 ),
    inference(avatar_split_clause,[],[f2820,f1459,f2366]) ).

fof(f1459,plain,
    ( spl154_113
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_113])]) ).

fof(f2820,plain,
    ( e2 != op(e0,e2)
    | ~ spl154_113 ),
    inference(backward_demodulation,[],[f888,f1461]) ).

fof(f1461,plain,
    ( e2 = op(e1,e2)
    | ~ spl154_113 ),
    inference(avatar_component_clause,[],[f1459]) ).

fof(f888,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2699,plain,
    ~ spl154_3,
    inference(avatar_contradiction_clause,[],[f2698]) ).

fof(f2698,plain,
    ( $false
    | ~ spl154_3 ),
    inference(subsumption_resolution,[],[f2697,f832]) ).

fof(f832,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f2697,plain,
    ( e1 = e2
    | ~ spl154_3 ),
    inference(forward_demodulation,[],[f2696,f1755]) ).

fof(f2696,plain,
    ( e2 = op(e3,e2)
    | ~ spl154_3 ),
    inference(backward_demodulation,[],[f969,f981]) ).

fof(f981,plain,
    ( e3 = unit
    | ~ spl154_3 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f980,plain,
    ( spl154_3
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_3])]) ).

fof(f2679,plain,
    ( spl154_124
    | ~ spl154_64 ),
    inference(avatar_split_clause,[],[f2678,f1240,f1516]) ).

fof(f1240,plain,
    ( spl154_64
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_64])]) ).

fof(f2678,plain,
    ( ~ sP1
    | e3 = e4 ),
    inference(forward_demodulation,[],[f766,f320]) ).

fof(f766,plain,
    ( ~ sP1
    | e4 = op(e2,e2) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f317,plain,
    ( ( e4 = op(e2,e2)
      & e2 != op(e2,e4)
      & e2 = op(e4,e4) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ( ( e4 = op(e2,e2)
      & e2 != op(e2,e4)
      & e2 = op(e4,e4) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f2673,plain,
    ( ~ spl154_9
    | spl154_243 ),
    inference(avatar_split_clause,[],[f331,f2161,f1006]) ).

fof(f1006,plain,
    ( spl154_9
  <=> sP153 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_9])]) ).

fof(f2161,plain,
    ( spl154_243
  <=> sP132 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_243])]) ).

fof(f331,plain,
    ( sP132
    | ~ sP153 ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ( ( sP148
      & sP147
      & sP146
      & sP145
      & sP144
      & sP143
      & sP142
      & sP141
      & sP140
      & sP139
      & sP138
      & sP137
      & sP136
      & sP135
      & sP134
      & sP133
      & sP132
      & sP131
      & sP130
      & sP129
      & sP128
      & sP127
      & sP126
      & sP125
      & sP124 )
    | ~ sP153 ),
    inference(nnf_transformation,[],[f163]) ).

fof(f163,plain,
    ( ( sP148
      & sP147
      & sP146
      & sP145
      & sP144
      & sP143
      & sP142
      & sP141
      & sP140
      & sP139
      & sP138
      & sP137
      & sP136
      & sP135
      & sP134
      & sP133
      & sP132
      & sP131
      & sP130
      & sP129
      & sP128
      & sP127
      & sP126
      & sP125
      & sP124 )
    | ~ sP153 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP153])]) ).

fof(f2670,plain,
    ( spl154_53
    | spl154_63
    | spl154_2
    | spl154_60
    | spl154_95
    | spl154_56
    | spl154_65
    | spl154_54
    | spl154_45
    | spl154_48
    | spl154_64
    | spl154_44
    | spl154_43
    | spl154_49
    | spl154_57
    | spl154_52
    | spl154_61
    | spl154_46
    | spl154_51
    | spl154_55
    | spl154_58
    | spl154_50
    | spl154_66
    | spl154_59
    | spl154_47 ),
    inference(avatar_split_clause,[],[f770,f1172,f1220,f1248,f1184,f1216,f1204,f1188,f1168,f1228,f1192,f1212,f1180,f1156,f1160,f1240,f1176,f1164,f1200,f1244,f1208,f1376,f1224,f975,f1236,f1196]) ).

fof(f1196,plain,
    ( spl154_53
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_53])]) ).

fof(f1236,plain,
    ( spl154_63
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_63])]) ).

fof(f975,plain,
    ( spl154_2
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_2])]) ).

fof(f1224,plain,
    ( spl154_60
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_60])]) ).

fof(f1208,plain,
    ( spl154_56
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_56])]) ).

fof(f1244,plain,
    ( spl154_65
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_65])]) ).

fof(f1200,plain,
    ( spl154_54
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_54])]) ).

fof(f1164,plain,
    ( spl154_45
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_45])]) ).

fof(f1176,plain,
    ( spl154_48
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_48])]) ).

fof(f1160,plain,
    ( spl154_44
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_44])]) ).

fof(f1156,plain,
    ( spl154_43
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_43])]) ).

fof(f1180,plain,
    ( spl154_49
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_49])]) ).

fof(f1212,plain,
    ( spl154_57
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_57])]) ).

fof(f1192,plain,
    ( spl154_52
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_52])]) ).

fof(f1228,plain,
    ( spl154_61
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_61])]) ).

fof(f1168,plain,
    ( spl154_46
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_46])]) ).

fof(f1188,plain,
    ( spl154_51
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_51])]) ).

fof(f1204,plain,
    ( spl154_55
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_55])]) ).

fof(f1216,plain,
    ( spl154_58
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_58])]) ).

fof(f1184,plain,
    ( spl154_50
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_50])]) ).

fof(f1248,plain,
    ( spl154_66
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_66])]) ).

fof(f1220,plain,
    ( spl154_59
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_59])]) ).

fof(f1172,plain,
    ( spl154_47
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_47])]) ).

fof(f770,plain,
    ( sP6
    | sP22
    | sP20
    | sP19
    | sP23
    | sP11
    | sP17
    | sP18
    | sP9
    | sP15
    | sP2
    | sP16
    | sP3
    | sP12
    | sP1
    | sP14
    | sP5
    | sP21
    | sP10
    | sP0
    | e0 = op(e3,e3)
    | sP7
    | sP8
    | sP13
    | sP4 ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ( ( sP153
      | sP152
      | sP151
      | sP150
      | sP149 )
    & ( ( op(e0,e0) = e3
        & e3 != op(e3,e0)
        & e0 = op(e3,e3) )
      | sP23
      | sP22
      | sP21
      | sP20
      | sP19
      | sP18
      | sP17
      | sP16
      | sP15
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 ) ),
    inference(definition_folding,[],[f9,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    ( ( e0 = op(e4,e4)
      & op(e0,e0) = e4
      & e4 != op(e4,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f12,plain,
    ( ( e4 != op(e4,e2)
      & e4 = op(e2,e2)
      & e2 = op(e4,e4) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f13,plain,
    ( ( e4 = op(e3,e3)
      & e3 = op(e4,e4)
      & e3 != op(e3,e4) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f14,plain,
    ( ( op(e0,e0) = e3
      & e0 = op(e3,e3)
      & e0 != op(e0,e3) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

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

fof(f16,plain,
    ( ( e2 = op(e3,e3)
      & e3 = op(e2,e2)
      & e2 != op(e2,e3) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

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

fof(f18,plain,
    ( ( e3 != op(e3,e1)
      & e3 = op(e1,e1)
      & e1 = op(e3,e3) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

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

fof(f20,plain,
    ( ( e4 = op(e1,e1)
      & e4 != op(e4,e1)
      & e1 = op(e4,e4) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f21,plain,
    ( ( e4 = op(e3,e3)
      & e3 = op(e4,e4)
      & e4 != op(e4,e3) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f22,plain,
    ( ( e2 != op(e2,e2)
      & e2 = op(e2,e2)
      & e2 = op(e2,e2) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

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

fof(f24,plain,
    ( ( e2 != op(e2,e0)
      & op(e0,e0) = e2
      & e0 = op(e2,e2) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f25,plain,
    ( ( e0 != op(e0,e2)
      & e0 = op(e2,e2)
      & op(e0,e0) = e2 )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f26,plain,
    ( ( e0 != op(e0,e4)
      & op(e0,e0) = e4
      & e0 = op(e4,e4) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f27,plain,
    ( ( e0 = op(e1,e1)
      & op(e0,e0) = e1
      & e0 != op(e0,e1) )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f28,plain,
    ( ( e2 != op(e2,e1)
      & e1 = op(e2,e2)
      & e2 = op(e1,e1) )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

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

fof(f30,plain,
    ( ( e3 = op(e1,e1)
      & e1 = op(e3,e3)
      & e1 != op(e1,e3) )
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f31,plain,
    ( ( e1 != op(e1,e2)
      & e1 = op(e2,e2)
      & e2 = op(e1,e1) )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f32,plain,
    ( ( e2 = op(e3,e3)
      & e3 != op(e3,e2)
      & e3 = op(e2,e2) )
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f33,plain,
    ( ( e0 = op(e0,e0)
      & e0 = op(e0,e0)
      & e0 != op(e0,e0) )
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

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

fof(f35,plain,
    ( e0 != op(e4,e4)
    | ( e4 = op(e4,e0)
      & e0 != unit )
    | ~ sP25 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f36,plain,
    ( ( e0 != unit
      & op(e0,e0) = e3 )
    | e0 != op(e0,e3)
    | ~ sP26 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f37,plain,
    ( ( op(e0,e0) = e1
      & e0 != unit )
    | e0 != op(e0,e1)
    | ~ sP27 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

fof(f38,plain,
    ( ( e0 != unit
      & e1 = op(e3,e0) )
    | e0 != op(e3,e1)
    | ~ sP28 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).

fof(f39,plain,
    ( e0 != op(e3,e4)
    | ( e4 = op(e3,e0)
      & e0 != unit )
    | ~ sP29 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).

fof(f40,plain,
    ( ( e0 = op(e1,e0)
      & e0 != unit )
    | e0 != op(e1,e0)
    | ~ sP30 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f41,plain,
    ( ( e3 = op(e3,e0)
      & e0 != unit )
    | e0 != op(e3,e3)
    | ~ sP31 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

fof(f42,plain,
    ( e0 != op(e1,e4)
    | ( e0 != unit
      & e4 = op(e1,e0) )
    | ~ sP32 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).

fof(f43,plain,
    ( ( e0 != unit
      & e1 = op(e4,e0) )
    | e0 != op(e4,e1)
    | ~ sP33 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f44,plain,
    ( e0 != op(e1,e3)
    | ( e0 != unit
      & e3 = op(e1,e0) )
    | ~ sP34 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).

fof(f45,plain,
    ( ( e0 != unit
      & e2 = op(e3,e0) )
    | e0 != op(e3,e2)
    | ~ sP35 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).

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

fof(f47,plain,
    ( ( e1 = op(e1,e0)
      & e0 != unit )
    | e0 != op(e1,e1)
    | ~ sP37 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

fof(f48,plain,
    ( e0 != op(e1,e2)
    | ( e2 = op(e1,e0)
      & e0 != unit )
    | ~ sP38 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f49,plain,
    ( e0 != op(e0,e0)
    | ( e0 != unit
      & e0 = op(e0,e0) )
    | ~ sP39 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

fof(f50,plain,
    ( e0 != op(e2,e3)
    | ( e3 = op(e2,e0)
      & e0 != unit )
    | ~ sP40 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f51,plain,
    ( ( e4 = op(e2,e0)
      & e0 != unit )
    | e0 != op(e2,e4)
    | ~ sP41 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).

fof(f52,plain,
    ( ( e0 != unit
      & e2 = op(e4,e0) )
    | e0 != op(e4,e2)
    | ~ sP42 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).

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

fof(f54,plain,
    ( e0 != op(e0,e4)
    | ( op(e0,e0) = e4
      & e0 != unit )
    | ~ sP44 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).

fof(f55,plain,
    ( e0 != op(e0,e2)
    | ( op(e0,e0) = e2
      & e0 != unit )
    | ~ sP45 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).

fof(f56,plain,
    ( ( e1 = op(e2,e0)
      & e0 != unit )
    | e0 != op(e2,e1)
    | ~ sP46 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).

fof(f57,plain,
    ( ( e2 = op(e2,e0)
      & e0 != unit )
    | e0 != op(e2,e2)
    | ~ sP47 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).

fof(f58,plain,
    ( ( e0 != unit
      & e0 = op(e4,e0) )
    | e0 != op(e4,e0)
    | ~ sP48 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).

fof(f59,plain,
    ( ( e2 != unit
      & e2 = op(e3,e2) )
    | e2 != op(e3,e2)
    | ~ sP49 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).

fof(f60,plain,
    ( ( e2 = op(e0,e2)
      & e2 != unit )
    | e2 != op(e0,e2)
    | ~ sP50 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).

fof(f61,plain,
    ( ( e2 != unit
      & e1 = op(e2,e2) )
    | e2 != op(e2,e1)
    | ~ sP51 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).

fof(f62,plain,
    ( ( e2 != unit
      & e4 = op(e3,e2) )
    | e2 != op(e3,e4)
    | ~ sP52 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).

fof(f63,plain,
    ( ( e2 != unit
      & e2 = op(e1,e2) )
    | e2 != op(e1,e2)
    | ~ sP53 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).

fof(f64,plain,
    ( ( e3 = op(e2,e2)
      & e2 != unit )
    | e2 != op(e2,e3)
    | ~ sP54 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).

fof(f65,plain,
    ( e2 != op(e2,e4)
    | ( e4 = op(e2,e2)
      & e2 != unit )
    | ~ sP55 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).

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

fof(f67,plain,
    ( e2 != op(e4,e1)
    | ( e2 != unit
      & e1 = op(e4,e2) )
    | ~ sP57 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).

fof(f68,plain,
    ( e2 != op(e1,e3)
    | ( e3 = op(e1,e2)
      & e2 != unit )
    | ~ sP58 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).

fof(f69,plain,
    ( ( e2 != unit
      & e4 = op(e0,e2) )
    | e2 != op(e0,e4)
    | ~ sP59 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).

fof(f70,plain,
    ( op(e0,e0) != e2
    | ( e0 = op(e0,e2)
      & e2 != unit )
    | ~ sP60 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).

fof(f71,plain,
    ( ( e2 != unit
      & e0 = op(e3,e2) )
    | e2 != op(e3,e0)
    | ~ sP61 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).

fof(f72,plain,
    ( ( e2 != unit
      & e3 = op(e0,e2) )
    | e2 != op(e0,e3)
    | ~ sP62 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).

fof(f73,plain,
    ( ( e2 = op(e4,e2)
      & e2 != unit )
    | e2 != op(e4,e2)
    | ~ sP63 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).

fof(f74,plain,
    ( e2 != op(e2,e0)
    | ( e2 != unit
      & e0 = op(e2,e2) )
    | ~ sP64 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).

fof(f75,plain,
    ( ( e3 = op(e4,e2)
      & e2 != unit )
    | e2 != op(e4,e3)
    | ~ sP65 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).

fof(f76,plain,
    ( ( e2 != unit
      & e0 = op(e1,e2) )
    | e2 != op(e1,e0)
    | ~ sP66 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).

fof(f77,plain,
    ( e2 != op(e3,e3)
    | ( e3 = op(e3,e2)
      & e2 != unit )
    | ~ sP67 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).

fof(f78,plain,
    ( ( e2 != unit
      & e1 = op(e3,e2) )
    | e2 != op(e3,e1)
    | ~ sP68 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).

fof(f79,plain,
    ( ( e2 != unit
      & e1 = op(e1,e2) )
    | e2 != op(e1,e1)
    | ~ sP69 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).

fof(f80,plain,
    ( ( e2 != unit
      & e4 = op(e1,e2) )
    | e2 != op(e1,e4)
    | ~ sP70 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).

fof(f81,plain,
    ( e2 != op(e2,e2)
    | ( e2 = op(e2,e2)
      & e2 != unit )
    | ~ sP71 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).

fof(f82,plain,
    ( e2 != op(e0,e1)
    | ( e1 = op(e0,e2)
      & e2 != unit )
    | ~ sP72 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).

fof(f83,plain,
    ( e2 != op(e4,e0)
    | ( e2 != unit
      & e0 = op(e4,e2) )
    | ~ sP73 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).

fof(f84,plain,
    ( e4 != op(e3,e1)
    | ( e1 = op(e3,e4)
      & e4 != unit )
    | ~ sP74 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).

fof(f85,plain,
    ( e4 != op(e3,e4)
    | ( e4 = op(e3,e4)
      & e4 != unit )
    | ~ sP75 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).

fof(f86,plain,
    ( e4 != op(e0,e4)
    | ( e4 != unit
      & e4 = op(e0,e4) )
    | ~ sP76 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).

fof(f87,plain,
    ( e4 != op(e3,e0)
    | ( e0 = op(e3,e4)
      & e4 != unit )
    | ~ sP77 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).

fof(f88,plain,
    ( ( e4 != unit
      & e3 = op(e3,e4) )
    | e4 != op(e3,e3)
    | ~ sP78 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).

fof(f89,plain,
    ( ( e4 != unit
      & e0 = op(e1,e4) )
    | e4 != op(e1,e0)
    | ~ sP79 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).

fof(f90,plain,
    ( ( e2 = op(e1,e4)
      & e4 != unit )
    | e4 != op(e1,e2)
    | ~ sP80 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).

fof(f91,plain,
    ( e4 != op(e1,e4)
    | ( e4 = op(e1,e4)
      & e4 != unit )
    | ~ sP81 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).

fof(f92,plain,
    ( ( e2 = op(e0,e4)
      & e4 != unit )
    | e4 != op(e0,e2)
    | ~ sP82 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).

fof(f93,plain,
    ( e4 != op(e0,e3)
    | ( e4 != unit
      & e3 = op(e0,e4) )
    | ~ sP83 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).

fof(f94,plain,
    ( ( e1 = op(e0,e4)
      & e4 != unit )
    | e4 != op(e0,e1)
    | ~ sP84 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).

fof(f95,plain,
    ( ( e4 != unit
      & e1 = op(e4,e4) )
    | e4 != op(e4,e1)
    | ~ sP85 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).

fof(f96,plain,
    ( e4 != op(e2,e2)
    | ( e2 = op(e2,e4)
      & e4 != unit )
    | ~ sP86 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).

fof(f97,plain,
    ( ( e4 != unit
      & e3 = op(e1,e4) )
    | e4 != op(e1,e3)
    | ~ sP87 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).

fof(f98,plain,
    ( ( e0 = op(e0,e4)
      & e4 != unit )
    | op(e0,e0) != e4
    | ~ sP88 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).

fof(f99,plain,
    ( ( e3 = op(e4,e4)
      & e4 != unit )
    | e4 != op(e4,e3)
    | ~ sP89 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).

fof(f100,plain,
    ( ( e4 != unit
      & e2 = op(e4,e4) )
    | e4 != op(e4,e2)
    | ~ sP90 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).

fof(f101,plain,
    ( ( e1 = op(e2,e4)
      & e4 != unit )
    | e4 != op(e2,e1)
    | ~ sP91 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).

fof(f102,plain,
    ( e4 != op(e2,e0)
    | ( e0 = op(e2,e4)
      & e4 != unit )
    | ~ sP92 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).

fof(f103,plain,
    ( ( e4 != unit
      & e2 = op(e3,e4) )
    | e4 != op(e3,e2)
    | ~ sP93 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).

fof(f104,plain,
    ( e4 != op(e4,e0)
    | ( e0 = op(e4,e4)
      & e4 != unit )
    | ~ sP94 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).

fof(f105,plain,
    ( e4 != op(e2,e4)
    | ( e4 != unit
      & e4 = op(e2,e4) )
    | ~ sP95 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).

fof(f106,plain,
    ( e4 != op(e2,e3)
    | ( e3 = op(e2,e4)
      & e4 != unit )
    | ~ sP96 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).

fof(f107,plain,
    ( ( e4 = op(e4,e4)
      & e4 != unit )
    | e4 != op(e4,e4)
    | ~ sP97 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).

fof(f108,plain,
    ( e4 != op(e1,e1)
    | ( e1 = op(e1,e4)
      & e4 != unit )
    | ~ sP98 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).

fof(f109,plain,
    ( ( e3 != unit
      & e1 = op(e0,e3) )
    | e3 != op(e0,e1)
    | ~ sP99 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).

fof(f110,plain,
    ( e3 != op(e3,e2)
    | ( e2 = op(e3,e3)
      & e3 != unit )
    | ~ sP100 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).

fof(f111,plain,
    ( e3 != op(e3,e0)
    | ( e0 = op(e3,e3)
      & e3 != unit )
    | ~ sP101 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).

fof(f112,plain,
    ( ( e0 = op(e4,e3)
      & e3 != unit )
    | e3 != op(e4,e0)
    | ~ sP102 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).

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

fof(f114,plain,
    ( e3 != op(e2,e1)
    | ( e3 != unit
      & e1 = op(e2,e3) )
    | ~ sP104 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).

fof(f115,plain,
    ( e3 != op(e0,e4)
    | ( e3 != unit
      & e4 = op(e0,e3) )
    | ~ sP105 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).

fof(f116,plain,
    ( ( e3 != unit
      & e4 = op(e2,e3) )
    | e3 != op(e2,e4)
    | ~ sP106 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).

fof(f117,plain,
    ( e3 != op(e2,e3)
    | ( e3 != unit
      & e3 = op(e2,e3) )
    | ~ sP107 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).

fof(f118,plain,
    ( ( e3 = op(e3,e3)
      & e3 != unit )
    | e3 != op(e3,e3)
    | ~ sP108 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).

fof(f119,plain,
    ( e3 != op(e0,e3)
    | ( e3 != unit
      & e3 = op(e0,e3) )
    | ~ sP109 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).

fof(f120,plain,
    ( ( e3 != unit
      & e2 = op(e0,e3) )
    | e3 != op(e0,e2)
    | ~ sP110 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).

fof(f121,plain,
    ( ( e3 != unit
      & e4 = op(e1,e3) )
    | e3 != op(e1,e4)
    | ~ sP111 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).

fof(f122,plain,
    ( ( e3 != unit
      & e2 = op(e4,e3) )
    | e3 != op(e4,e2)
    | ~ sP112 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).

fof(f123,plain,
    ( e3 != op(e4,e1)
    | ( e3 != unit
      & e1 = op(e4,e3) )
    | ~ sP113 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).

fof(f124,plain,
    ( ( e0 = op(e2,e3)
      & e3 != unit )
    | e3 != op(e2,e0)
    | ~ sP114 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).

fof(f125,plain,
    ( e3 != op(e3,e4)
    | ( e3 != unit
      & e4 = op(e3,e3) )
    | ~ sP115 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).

fof(f126,plain,
    ( e3 != op(e1,e2)
    | ( e3 != unit
      & e2 = op(e1,e3) )
    | ~ sP116 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).

fof(f127,plain,
    ( op(e0,e0) != e3
    | ( e3 != unit
      & e0 = op(e0,e3) )
    | ~ sP117 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).

fof(f128,plain,
    ( e3 != op(e1,e0)
    | ( e0 = op(e1,e3)
      & e3 != unit )
    | ~ sP118 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).

fof(f129,plain,
    ( ( e3 != unit
      & e1 = op(e1,e3) )
    | e3 != op(e1,e1)
    | ~ sP119 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).

fof(f130,plain,
    ( ( e3 != unit
      & e1 = op(e3,e3) )
    | e3 != op(e3,e1)
    | ~ sP120 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).

fof(f131,plain,
    ( ( e4 = op(e4,e3)
      & e3 != unit )
    | e3 != op(e4,e4)
    | ~ sP121 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).

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

fof(f133,plain,
    ( e3 != op(e4,e3)
    | ( e3 != unit
      & e3 = op(e4,e3) )
    | ~ sP123 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).

fof(f134,plain,
    ( ( e1 != unit
      & e3 = op(e0,e1) )
    | e1 != op(e0,e3)
    | ~ sP124 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).

fof(f135,plain,
    ( ( e1 = op(e2,e1)
      & e1 != unit )
    | e1 != op(e2,e1)
    | ~ sP125 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).

fof(f136,plain,
    ( ( e3 = op(e3,e1)
      & e1 != unit )
    | e1 != op(e3,e3)
    | ~ sP126 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).

fof(f137,plain,
    ( ( e1 != unit
      & e2 = op(e1,e1) )
    | e1 != op(e1,e2)
    | ~ sP127 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).

fof(f138,plain,
    ( e1 != op(e1,e1)
    | ( e1 = op(e1,e1)
      & e1 != unit )
    | ~ sP128 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).

fof(f139,plain,
    ( ( e1 != unit
      & e4 = op(e1,e1) )
    | e1 != op(e1,e4)
    | ~ sP129 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).

fof(f140,plain,
    ( e1 != op(e4,e1)
    | ( e1 != unit
      & e1 = op(e4,e1) )
    | ~ sP130 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).

fof(f141,plain,
    ( ( e2 = op(e4,e1)
      & e1 != unit )
    | e1 != op(e4,e2)
    | ~ sP131 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).

fof(f142,plain,
    ( e1 != op(e4,e3)
    | ( e1 != unit
      & e3 = op(e4,e1) )
    | ~ sP132 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).

fof(f143,plain,
    ( e1 != op(e3,e0)
    | ( e0 = op(e3,e1)
      & e1 != unit )
    | ~ sP133 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).

fof(f144,plain,
    ( ( e1 != unit
      & e3 = op(e2,e1) )
    | e1 != op(e2,e3)
    | ~ sP134 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).

fof(f145,plain,
    ( e1 != op(e0,e1)
    | ( e1 = op(e0,e1)
      & e1 != unit )
    | ~ sP135 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).

fof(f146,plain,
    ( ( e1 != unit
      & e2 = op(e0,e1) )
    | e1 != op(e0,e2)
    | ~ sP136 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).

fof(f147,plain,
    ( ( e2 = op(e3,e1)
      & e1 != unit )
    | e1 != op(e3,e2)
    | ~ sP137 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).

fof(f148,plain,
    ( ( e4 = op(e3,e1)
      & e1 != unit )
    | e1 != op(e3,e4)
    | ~ sP138 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).

fof(f149,plain,
    ( e1 != op(e1,e3)
    | ( e1 != unit
      & e3 = op(e1,e1) )
    | ~ sP139 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).

fof(f150,plain,
    ( e1 != op(e0,e4)
    | ( e1 != unit
      & e4 = op(e0,e1) )
    | ~ sP140 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).

fof(f151,plain,
    ( e1 != op(e4,e4)
    | ( e1 != unit
      & e4 = op(e4,e1) )
    | ~ sP141 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).

fof(f152,plain,
    ( e1 != op(e4,e0)
    | ( e0 = op(e4,e1)
      & e1 != unit )
    | ~ sP142 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).

fof(f153,plain,
    ( ( e4 = op(e2,e1)
      & e1 != unit )
    | e1 != op(e2,e4)
    | ~ sP143 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).

fof(f154,plain,
    ( e1 != op(e2,e0)
    | ( e0 = op(e2,e1)
      & e1 != unit )
    | ~ sP144 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP144])]) ).

fof(f155,plain,
    ( ( e2 = op(e2,e1)
      & e1 != unit )
    | e1 != op(e2,e2)
    | ~ sP145 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP145])]) ).

fof(f156,plain,
    ( ( e1 != unit
      & e0 = op(e1,e1) )
    | e1 != op(e1,e0)
    | ~ sP146 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP146])]) ).

fof(f157,plain,
    ( ( e1 = op(e3,e1)
      & e1 != unit )
    | e1 != op(e3,e1)
    | ~ sP147 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP147])]) ).

fof(f158,plain,
    ( ( e1 != unit
      & e0 = op(e0,e1) )
    | op(e0,e0) != e1
    | ~ sP148 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP148])]) ).

fof(f159,plain,
    ( ( sP48
      & sP47
      & sP46
      & sP45
      & sP44
      & sP43
      & sP42
      & sP41
      & sP40
      & sP39
      & sP38
      & sP37
      & sP36
      & sP35
      & sP34
      & sP33
      & sP32
      & sP31
      & sP30
      & sP29
      & sP28
      & sP27
      & sP26
      & sP25
      & sP24 )
    | ~ sP149 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP149])]) ).

fof(f160,plain,
    ( ( sP73
      & sP72
      & sP71
      & sP70
      & sP69
      & sP68
      & sP67
      & sP66
      & sP65
      & sP64
      & sP63
      & sP62
      & sP61
      & sP60
      & sP59
      & sP58
      & sP57
      & sP56
      & sP55
      & sP54
      & sP53
      & sP52
      & sP51
      & sP50
      & sP49 )
    | ~ sP150 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP150])]) ).

fof(f161,plain,
    ( ( sP98
      & sP97
      & sP96
      & sP95
      & sP94
      & sP93
      & sP92
      & sP91
      & sP90
      & sP89
      & sP88
      & sP87
      & sP86
      & sP85
      & sP84
      & sP83
      & sP82
      & sP81
      & sP80
      & sP79
      & sP78
      & sP77
      & sP76
      & sP75
      & sP74 )
    | ~ sP151 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP151])]) ).

fof(f162,plain,
    ( ( sP123
      & sP122
      & sP121
      & sP120
      & sP119
      & sP118
      & sP117
      & sP116
      & sP115
      & sP114
      & sP113
      & sP112
      & sP111
      & sP110
      & sP109
      & sP108
      & sP107
      & sP106
      & sP105
      & sP104
      & sP103
      & sP102
      & sP101
      & sP100
      & sP99 )
    | ~ sP152 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP152])]) ).

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

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

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

fof(f2665,plain,
    spl154_82,
    inference(avatar_split_clause,[],[f2664,f1320]) ).

fof(f2664,plain,
    e4 = op(e3,e3),
    inference(forward_demodulation,[],[f322,f320]) ).

fof(f322,plain,
    e4 = op(op(e2,e2),op(e2,e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f2656,plain,
    ( ~ spl154_38
    | spl154_121 ),
    inference(avatar_split_clause,[],[f379,f1494,f1133]) ).

fof(f1133,plain,
    ( spl154_38
  <=> sP151 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_38])]) ).

fof(f1494,plain,
    ( spl154_121
  <=> sP80 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_121])]) ).

fof(f379,plain,
    ( sP80
    | ~ sP151 ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ( ( sP98
      & sP97
      & sP96
      & sP95
      & sP94
      & sP93
      & sP92
      & sP91
      & sP90
      & sP89
      & sP88
      & sP87
      & sP86
      & sP85
      & sP84
      & sP83
      & sP82
      & sP81
      & sP80
      & sP79
      & sP78
      & sP77
      & sP76
      & sP75
      & sP74 )
    | ~ sP151 ),
    inference(nnf_transformation,[],[f161]) ).

fof(f2653,plain,
    ~ spl154_123,
    inference(avatar_split_clause,[],[f828,f1510]) ).

fof(f828,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2650,plain,
    ( ~ spl154_16
    | spl154_182 ),
    inference(avatar_split_clause,[],[f436,f1810,f1037]) ).

fof(f1037,plain,
    ( spl154_16
  <=> sP149 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_16])]) ).

fof(f1810,plain,
    ( spl154_182
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_182])]) ).

fof(f436,plain,
    ( sP37
    | ~ sP149 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ( ( sP48
      & sP47
      & sP46
      & sP45
      & sP44
      & sP43
      & sP42
      & sP41
      & sP40
      & sP39
      & sP38
      & sP37
      & sP36
      & sP35
      & sP34
      & sP33
      & sP32
      & sP31
      & sP30
      & sP29
      & sP28
      & sP27
      & sP26
      & sP25
      & sP24 )
    | ~ sP149 ),
    inference(nnf_transformation,[],[f159]) ).

fof(f2630,plain,
    ( ~ spl154_240
    | spl154_231
    | ~ spl154_270 ),
    inference(avatar_split_clause,[],[f476,f2459,f2078,f2143]) ).

fof(f2143,plain,
    ( spl154_240
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_240])]) ).

fof(f2078,plain,
    ( spl154_231
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_231])]) ).

fof(f2459,plain,
    ( spl154_270
  <=> sP134 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_270])]) ).

fof(f476,plain,
    ( ~ sP134
    | e3 = op(e2,e1)
    | e1 != op(e2,e3) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ( ( e1 != unit
      & e3 = op(e2,e1) )
    | e1 != op(e2,e3)
    | ~ sP134 ),
    inference(nnf_transformation,[],[f144]) ).

fof(f2622,plain,
    ( spl154_169
    | ~ spl154_61 ),
    inference(avatar_split_clause,[],[f741,f1228,f1737]) ).

fof(f741,plain,
    ( ~ sP9
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f309]) ).

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

fof(f2607,plain,
    ( ~ spl154_9
    | spl154_270 ),
    inference(avatar_split_clause,[],[f333,f2459,f1006]) ).

fof(f333,plain,
    ( sP134
    | ~ sP153 ),
    inference(cnf_transformation,[],[f165]) ).

fof(f2603,plain,
    ( ~ spl154_45
    | ~ spl154_181 ),
    inference(avatar_split_clause,[],[f752,f1806,f1164]) ).

fof(f752,plain,
    ( e1 != op(e1,e0)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f313]) ).

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

fof(f2589,plain,
    ( ~ spl154_55
    | spl154_23 ),
    inference(avatar_split_clause,[],[f735,f1068,f1204]) ).

fof(f735,plain,
    ( e3 = op(e4,e4)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f307]) ).

fof(f307,plain,
    ( ( e4 = op(e3,e3)
      & e3 = op(e4,e4)
      & e4 != op(e4,e3) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f2583,plain,
    ( spl154_174
    | ~ spl154_48 ),
    inference(avatar_split_clause,[],[f2582,f1176,f1766]) ).

fof(f2582,plain,
    ( ~ sP14
    | e0 = e3 ),
    inference(forward_demodulation,[],[f725,f320]) ).

fof(f725,plain,
    ( ~ sP14
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f304]) ).

fof(f304,plain,
    ( ( e2 != op(e2,e0)
      & op(e0,e0) = e2
      & e0 = op(e2,e2) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f2575,plain,
    ~ spl154_54,
    inference(avatar_split_clause,[],[f2574,f1200]) ).

fof(f2574,plain,
    ~ sP21,
    inference(subsumption_resolution,[],[f2573,f833]) ).

fof(f2573,plain,
    ( ~ sP21
    | e0 = e2 ),
    inference(forward_demodulation,[],[f704,f1756]) ).

fof(f704,plain,
    ( e2 = op(e1,e1)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f297]) ).

fof(f297,plain,
    ( ( e1 != op(e1,e2)
      & e1 = op(e2,e2)
      & e2 = op(e1,e1) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f31]) ).

fof(f2560,plain,
    ( ~ spl154_52
    | spl154_174 ),
    inference(avatar_split_clause,[],[f2559,f1766,f1192]) ).

fof(f2559,plain,
    ( e0 = e3
    | ~ sP15 ),
    inference(forward_demodulation,[],[f723,f320]) ).

fof(f723,plain,
    ( ~ sP15
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f303]) ).

fof(f303,plain,
    ( ( e0 != op(e0,e2)
      & e0 = op(e2,e2)
      & op(e0,e0) = e2 )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f25]) ).

fof(f2548,plain,
    ( ~ spl154_182
    | ~ spl154_70 ),
    inference(avatar_split_clause,[],[f2547,f1266,f1810]) ).

fof(f2547,plain,
    ( e0 != unit
    | ~ sP37 ),
    inference(subsumption_resolution,[],[f670,f1756]) ).

fof(f670,plain,
    ( e0 != unit
    | ~ sP37
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f281,plain,
    ( ( e1 = op(e1,e0)
      & e0 != unit )
    | e0 != op(e1,e1)
    | ~ sP37 ),
    inference(nnf_transformation,[],[f47]) ).

fof(f2544,plain,
    ( ~ spl154_259
    | spl154_95
    | ~ spl154_62 ),
    inference(avatar_split_clause,[],[f543,f1232,f1376,f2325]) ).

fof(f2325,plain,
    ( spl154_259
  <=> sP101 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_259])]) ).

fof(f543,plain,
    ( e3 != op(e3,e0)
    | e0 = op(e3,e3)
    | ~ sP101 ),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,plain,
    ( e3 != op(e3,e0)
    | ( e0 = op(e3,e3)
      & e3 != unit )
    | ~ sP101 ),
    inference(nnf_transformation,[],[f111]) ).

fof(f2520,plain,
    ( spl154_26
    | ~ spl154_49 ),
    inference(avatar_split_clause,[],[f719,f1180,f1081]) ).

fof(f719,plain,
    ( ~ sP16
    | e0 = op(e4,e4) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f302,plain,
    ( ( e0 != op(e0,e4)
      & op(e0,e0) = e4
      & e0 = op(e4,e4) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f2510,plain,
    ( spl154_132
    | ~ spl154_2 ),
    inference(avatar_split_clause,[],[f743,f975,f1555]) ).

fof(f1555,plain,
    ( spl154_132
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_132])]) ).

fof(f743,plain,
    ( ~ sP8
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f310,plain,
    ( ( e3 != op(e3,e1)
      & e3 = op(e1,e1)
      & e1 = op(e3,e3) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f18]) ).

fof(f2506,plain,
    ( spl154_202
    | ~ spl154_36 ),
    inference(avatar_split_clause,[],[f413,f1124,f1918]) ).

fof(f1918,plain,
    ( spl154_202
  <=> sP64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_202])]) ).

fof(f1124,plain,
    ( spl154_36
  <=> sP150 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_36])]) ).

fof(f413,plain,
    ( ~ sP150
    | sP64 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ( ( sP73
      & sP72
      & sP71
      & sP70
      & sP69
      & sP68
      & sP67
      & sP66
      & sP65
      & sP64
      & sP63
      & sP62
      & sP61
      & sP60
      & sP59
      & sP58
      & sP57
      & sP56
      & sP55
      & sP54
      & sP53
      & sP52
      & sP51
      & sP50
      & sP49 )
    | ~ sP150 ),
    inference(nnf_transformation,[],[f160]) ).

fof(f2500,plain,
    ~ spl154_50,
    inference(avatar_split_clause,[],[f2499,f1184]) ).

fof(f2499,plain,
    ~ sP19,
    inference(subsumption_resolution,[],[f2498,f830]) ).

fof(f2498,plain,
    ( e0 = e4
    | ~ sP19 ),
    inference(forward_demodulation,[],[f712,f1756]) ).

fof(f712,plain,
    ( e4 = op(e1,e1)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f299]) ).

fof(f299,plain,
    ( ( e4 = op(e1,e1)
      & e1 = op(e4,e4)
      & e1 != op(e1,e4) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f2489,plain,
    ( ~ spl154_56
    | spl154_26 ),
    inference(avatar_split_clause,[],[f769,f1081,f1208]) ).

fof(f769,plain,
    ( e0 = op(e4,e4)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f318]) ).

fof(f318,plain,
    ( ( e0 = op(e4,e4)
      & op(e0,e0) = e4
      & e4 != op(e4,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f2455,plain,
    ( ~ spl154_158
    | ~ spl154_58 ),
    inference(avatar_split_clause,[],[f698,f1216,f1679]) ).

fof(f698,plain,
    ( ~ sP23
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f295,plain,
    ( ( e0 = op(e0,e0)
      & e0 = op(e0,e0)
      & e0 != op(e0,e0) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f33]) ).

fof(f2431,plain,
    ~ spl154_120,
    inference(avatar_split_clause,[],[f2430,f1489]) ).

fof(f2430,plain,
    e0 != op(e0,e1),
    inference(forward_demodulation,[],[f908,f1756]) ).

fof(f908,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2429,plain,
    ~ spl154_124,
    inference(avatar_split_clause,[],[f827,f1516]) ).

fof(f827,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2424,plain,
    ~ spl154_231,
    inference(avatar_split_clause,[],[f2423,f2078]) ).

fof(f2423,plain,
    e3 != op(e2,e1),
    inference(forward_demodulation,[],[f859,f320]) ).

fof(f859,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2400,plain,
    ( spl154_90
    | spl154_30
    | spl154_71
    | spl154_174
    | spl154_173 ),
    inference(avatar_split_clause,[],[f2399,f1760,f1766,f1270,f1097,f1354]) ).

fof(f1270,plain,
    ( spl154_71
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_71])]) ).

fof(f1760,plain,
    ( spl154_173
  <=> e0 = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_173])]) ).

fof(f2399,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e1,e2)
    | e0 = op(e4,e2)
    | e0 = op(e0,e2) ),
    inference(forward_demodulation,[],[f2398,f320]) ).

fof(f2398,plain,
    ( e0 = e1
    | e0 = op(e4,e2)
    | e0 = op(e0,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2) ),
    inference(forward_demodulation,[],[f787,f1755]) ).

fof(f787,plain,
    ( e0 = op(e4,e2)
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f2364,plain,
    ( spl154_7
    | spl154_33
    | spl154_3
    | spl154_18
    | spl154_70 ),
    inference(avatar_split_clause,[],[f965,f1266,f1046,f980,f1110,f997]) ).

fof(f965,plain,
    ( e0 = unit
    | e2 = unit
    | e3 = unit
    | e4 = unit
    | e1 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2349,plain,
    ( ~ spl154_243
    | spl154_229
    | ~ spl154_74 ),
    inference(avatar_split_clause,[],[f480,f1283,f2069,f2161]) ).

fof(f1283,plain,
    ( spl154_74
  <=> e1 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_74])]) ).

fof(f480,plain,
    ( e1 != op(e4,e3)
    | e3 = op(e4,e1)
    | ~ sP132 ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ( e1 != op(e4,e3)
    | ( e1 != unit
      & e3 = op(e4,e1) )
    | ~ sP132 ),
    inference(nnf_transformation,[],[f142]) ).

fof(f2344,plain,
    ( spl154_226
    | ~ spl154_59 ),
    inference(avatar_split_clause,[],[f703,f1220,f2054]) ).

fof(f703,plain,
    ( ~ sP22
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f296,plain,
    ( ( e2 = op(e3,e3)
      & e3 != op(e3,e2)
      & e3 = op(e2,e2) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f32]) ).

fof(f2328,plain,
    ( spl154_259
    | ~ spl154_35 ),
    inference(avatar_split_clause,[],[f350,f1119,f2325]) ).

fof(f1119,plain,
    ( spl154_35
  <=> sP152 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_35])]) ).

fof(f350,plain,
    ( ~ sP152
    | sP101 ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ( ( sP123
      & sP122
      & sP121
      & sP120
      & sP119
      & sP118
      & sP117
      & sP116
      & sP115
      & sP114
      & sP113
      & sP112
      & sP111
      & sP110
      & sP109
      & sP108
      & sP107
      & sP106
      & sP105
      & sP104
      & sP103
      & sP102
      & sP101
      & sP100
      & sP99 )
    | ~ sP152 ),
    inference(nnf_transformation,[],[f162]) ).

fof(f2322,plain,
    ( ~ spl154_44
    | spl154_123 ),
    inference(avatar_split_clause,[],[f2321,f1510,f1160]) ).

fof(f2321,plain,
    ( e2 = e3
    | ~ sP12 ),
    inference(forward_demodulation,[],[f732,f320]) ).

fof(f732,plain,
    ( e2 = op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f306]) ).

fof(f306,plain,
    ( ( e2 != op(e2,e2)
      & e2 = op(e2,e2)
      & e2 = op(e2,e2) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f22]) ).

fof(f2295,plain,
    ( spl154_132
    | spl154_240
    | spl154_74
    | spl154_75
    | spl154_8 ),
    inference(avatar_split_clause,[],[f782,f1001,f1288,f1283,f2143,f1555]) ).

fof(f782,plain,
    ( e1 = op(e0,e3)
    | e1 = op(e1,e3)
    | e1 = op(e4,e3)
    | e1 = op(e2,e3)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2294,plain,
    ( spl154_124
    | ~ spl154_57 ),
    inference(avatar_split_clause,[],[f2293,f1212,f1516]) ).

fof(f2293,plain,
    ( ~ sP2
    | e3 = e4 ),
    inference(forward_demodulation,[],[f762,f320]) ).

fof(f762,plain,
    ( ~ sP2
    | e4 = op(e2,e2) ),
    inference(cnf_transformation,[],[f316]) ).

fof(f316,plain,
    ( ( e4 != op(e4,e2)
      & e4 = op(e2,e2)
      & e2 = op(e4,e4) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f2283,plain,
    ~ spl154_112,
    inference(avatar_split_clause,[],[f2282,f1455]) ).

fof(f1455,plain,
    ( spl154_112
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_112])]) ).

fof(f2282,plain,
    e1 != op(e1,e2),
    inference(forward_demodulation,[],[f946,f1755]) ).

fof(f946,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2280,plain,
    ( spl154_226
    | ~ spl154_47 ),
    inference(avatar_split_clause,[],[f751,f1172,f2054]) ).

fof(f751,plain,
    ( ~ sP6
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f312,plain,
    ( ( e2 = op(e3,e3)
      & e3 = op(e2,e2)
      & e2 != op(e2,e3) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f2276,plain,
    ~ spl154_65,
    inference(avatar_split_clause,[],[f2275,f1244]) ).

fof(f2275,plain,
    ~ sP10,
    inference(subsumption_resolution,[],[f2274,f830]) ).

fof(f2274,plain,
    ( e0 = e4
    | ~ sP10 ),
    inference(forward_demodulation,[],[f739,f1756]) ).

fof(f739,plain,
    ( ~ sP10
    | e4 = op(e1,e1) ),
    inference(cnf_transformation,[],[f308]) ).

fof(f308,plain,
    ( ( e4 = op(e1,e1)
      & e4 != op(e4,e1)
      & e1 = op(e4,e4) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f20]) ).

fof(f2273,plain,
    ( spl154_9
    | spl154_16
    | spl154_35
    | spl154_36
    | spl154_38 ),
    inference(avatar_split_clause,[],[f773,f1133,f1124,f1119,f1037,f1006]) ).

fof(f773,plain,
    ( sP151
    | sP150
    | sP152
    | sP149
    | sP153 ),
    inference(cnf_transformation,[],[f164]) ).

fof(f2251,plain,
    ~ spl154_71,
    inference(avatar_split_clause,[],[f2250,f1270]) ).

fof(f2250,plain,
    e0 != op(e1,e2),
    inference(forward_demodulation,[],[f899,f1756]) ).

fof(f899,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2223,plain,
    ~ spl154_46,
    inference(avatar_split_clause,[],[f2222,f1168]) ).

fof(f2222,plain,
    ~ sP18,
    inference(subsumption_resolution,[],[f2221,f833]) ).

fof(f2221,plain,
    ( e0 = e2
    | ~ sP18 ),
    inference(forward_demodulation,[],[f713,f1756]) ).

fof(f713,plain,
    ( ~ sP18
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f300]) ).

fof(f300,plain,
    ( ( e2 != op(e2,e1)
      & e1 = op(e2,e2)
      & e2 = op(e1,e1) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f2215,plain,
    ( ~ spl154_121
    | ~ spl154_114
    | spl154_130 ),
    inference(avatar_split_clause,[],[f585,f1543,f1463,f1494]) ).

fof(f1463,plain,
    ( spl154_114
  <=> e4 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_114])]) ).

fof(f585,plain,
    ( e2 = op(e1,e4)
    | e4 != op(e1,e2)
    | ~ sP80 ),
    inference(cnf_transformation,[],[f238]) ).

fof(f238,plain,
    ( ( e2 = op(e1,e4)
      & e4 != unit )
    | e4 != op(e1,e2)
    | ~ sP80 ),
    inference(nnf_transformation,[],[f90]) ).

fof(f2213,plain,
    ~ spl154_173,
    inference(avatar_split_clause,[],[f831,f1760]) ).

fof(f831,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f2209,plain,
    ( ~ spl154_152
    | spl154_174
    | ~ spl154_202 ),
    inference(avatar_split_clause,[],[f2208,f1918,f1766,f1649]) ).

fof(f2208,plain,
    ( ~ sP64
    | e0 = e3
    | e2 != op(e2,e0) ),
    inference(forward_demodulation,[],[f616,f320]) ).

fof(f616,plain,
    ( e0 = op(e2,e2)
    | e2 != op(e2,e0)
    | ~ sP64 ),
    inference(cnf_transformation,[],[f254]) ).

fof(f254,plain,
    ( e2 != op(e2,e0)
    | ( e2 != unit
      & e0 = op(e2,e2) )
    | ~ sP64 ),
    inference(nnf_transformation,[],[f74]) ).

fof(f2166,plain,
    ( ~ spl154_53
    | spl154_95 ),
    inference(avatar_split_clause,[],[f756,f1376,f1196]) ).

fof(f756,plain,
    ( e0 = op(e3,e3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f314]) ).

fof(f314,plain,
    ( ( op(e0,e0) = e3
      & e0 = op(e3,e3)
      & e0 != op(e0,e3) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f2118,plain,
    ( ~ spl154_60
    | spl154_173 ),
    inference(avatar_split_clause,[],[f2117,f1760,f1224]) ).

fof(f2117,plain,
    ( e0 = e1
    | ~ sP7 ),
    inference(forward_demodulation,[],[f747,f1756]) ).

fof(f747,plain,
    ( e1 = op(e1,e1)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f311]) ).

fof(f311,plain,
    ( ( e1 = op(e1,e1)
      & e1 = op(e1,e1)
      & e1 != op(e1,e1) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f2091,plain,
    ~ spl154_132,
    inference(avatar_split_clause,[],[f2090,f1555]) ).

fof(f2090,plain,
    e1 != op(e3,e3),
    inference(forward_demodulation,[],[f889,f1755]) ).

fof(f889,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1934,plain,
    ( ~ spl154_43
    | spl154_23 ),
    inference(avatar_split_clause,[],[f759,f1068,f1156]) ).

fof(f759,plain,
    ( e3 = op(e4,e4)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f315]) ).

fof(f315,plain,
    ( ( e4 = op(e3,e3)
      & e3 = op(e4,e4)
      & e3 != op(e3,e4) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f1916,plain,
    ( ~ spl154_63
    | spl154_80 ),
    inference(avatar_split_clause,[],[f728,f1311,f1236]) ).

fof(f1311,plain,
    ( spl154_80
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_80])]) ).

fof(f728,plain,
    ( e4 = op(e4,e4)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f305]) ).

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

fof(f1888,plain,
    ( spl154_196
    | ~ spl154_51 ),
    inference(avatar_split_clause,[],[f717,f1188,f1883]) ).

fof(f717,plain,
    ( ~ sP17
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f301]) ).

fof(f301,plain,
    ( ( e0 = op(e1,e1)
      & op(e0,e0) = e1
      & e0 != op(e0,e1) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f1820,plain,
    ~ spl154_174,
    inference(avatar_split_clause,[],[f825,f1766]) ).

fof(f825,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1769,plain,
    ( ~ spl154_66
    | spl154_174 ),
    inference(avatar_split_clause,[],[f1764,f1766,f1248]) ).

fof(f1764,plain,
    ( e0 = e3
    | ~ sP20 ),
    inference(forward_demodulation,[],[f709,f1756]) ).

fof(f709,plain,
    ( e3 = op(e1,e1)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f298]) ).

fof(f298,plain,
    ( ( e3 = op(e1,e1)
      & e1 = op(e3,e3)
      & e1 != op(e1,e3) )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f30]) ).

fof(f1754,plain,
    ( spl154_171
    | spl154_163
    | spl154_1
    | spl154_172
    | spl154_115 ),
    inference(avatar_split_clause,[],[f776,f1467,f1751,f971,f1708,f1747]) ).

fof(f1467,plain,
    ( spl154_115
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_115])]) ).

fof(f776,plain,
    ( e3 = op(e1,e2)
    | e3 = op(e1,e3)
    | e3 = op(e1,e1)
    | e3 = op(e1,e4)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1501,plain,
    ~ spl154_115,
    inference(avatar_split_clause,[],[f1498,f1467]) ).

fof(f1498,plain,
    e3 != op(e1,e2),
    inference(backward_demodulation,[],[f923,f320]) ).

fof(f923,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1470,plain,
    ( spl154_112
    | spl154_113
    | spl154_71
    | spl154_114
    | spl154_115 ),
    inference(avatar_split_clause,[],[f842,f1467,f1463,f1270,f1459,f1455]) ).

fof(f842,plain,
    ( e3 = op(e1,e2)
    | e4 = op(e1,e2)
    | e0 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f1314,plain,
    ( ~ spl154_63
    | ~ spl154_80 ),
    inference(avatar_split_clause,[],[f730,f1311,f1236]) ).

fof(f730,plain,
    ( e4 != op(e4,e4)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f305]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ALG058+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33  % Computer : n018.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon Aug 29 14:56:39 EDT 2022
% 0.14/0.33  % CPUTime    : 
% 0.19/0.46  % (2238)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47  % (2246)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (2229)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51  % (2236)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (2236)Instruction limit reached!
% 0.19/0.51  % (2236)------------------------------
% 0.19/0.51  % (2236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (2236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (2236)Termination reason: Unknown
% 0.19/0.51  % (2236)Termination phase: Preprocessing 3
% 0.19/0.51  
% 0.19/0.51  % (2236)Memory used [KB]: 1663
% 0.19/0.51  % (2236)Time elapsed: 0.004 s
% 0.19/0.51  % (2236)Instructions burned: 8 (million)
% 0.19/0.51  % (2236)------------------------------
% 0.19/0.51  % (2236)------------------------------
% 1.22/0.52  % (2243)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.22/0.52  % (2243)Instruction limit reached!
% 1.22/0.52  % (2243)------------------------------
% 1.22/0.52  % (2243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.52  % (2243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.52  % (2243)Termination reason: Unknown
% 1.22/0.52  % (2243)Termination phase: SInE selection
% 1.22/0.52  
% 1.22/0.52  % (2243)Memory used [KB]: 1535
% 1.22/0.52  % (2243)Time elapsed: 0.004 s
% 1.22/0.52  % (2243)Instructions burned: 3 (million)
% 1.22/0.52  % (2243)------------------------------
% 1.22/0.52  % (2243)------------------------------
% 1.22/0.52  % (2229)Instruction limit reached!
% 1.22/0.52  % (2229)------------------------------
% 1.22/0.52  % (2229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.52  % (2229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.52  % (2229)Termination reason: Unknown
% 1.22/0.52  % (2229)Termination phase: Clausification
% 1.22/0.52  
% 1.22/0.52  % (2229)Memory used [KB]: 7675
% 1.22/0.52  % (2229)Time elapsed: 0.011 s
% 1.22/0.52  % (2229)Instructions burned: 14 (million)
% 1.22/0.52  % (2229)------------------------------
% 1.22/0.52  % (2229)------------------------------
% 1.22/0.52  % (2239)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)
% 1.22/0.52  % (2233)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)
% 1.22/0.52  % (2239)Instruction limit reached!
% 1.22/0.52  % (2239)------------------------------
% 1.22/0.52  % (2239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.52  % (2239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.52  % (2239)Termination reason: Unknown
% 1.22/0.52  % (2239)Termination phase: Preprocessing 2
% 1.22/0.52  
% 1.22/0.52  % (2239)Memory used [KB]: 1535
% 1.22/0.52  % (2239)Time elapsed: 0.002 s
% 1.22/0.52  % (2239)Instructions burned: 3 (million)
% 1.22/0.52  % (2239)------------------------------
% 1.22/0.52  % (2239)------------------------------
% 1.33/0.53  % (2247)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)
% 1.33/0.53  % (2228)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)
% 1.33/0.53  % (2235)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)
% 1.33/0.53  % (2238)Instruction limit reached!
% 1.33/0.53  % (2238)------------------------------
% 1.33/0.53  % (2238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (2238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (2238)Termination reason: Unknown
% 1.33/0.53  % (2238)Termination phase: Saturation
% 1.33/0.53  
% 1.33/0.53  % (2238)Memory used [KB]: 7675
% 1.33/0.53  % (2238)Time elapsed: 0.035 s
% 1.33/0.53  % (2238)Instructions burned: 51 (million)
% 1.33/0.53  % (2238)------------------------------
% 1.33/0.53  % (2238)------------------------------
% 1.33/0.53  % (2226)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)
% 1.33/0.53  % (2235)Instruction limit reached!
% 1.33/0.53  % (2235)------------------------------
% 1.33/0.53  % (2235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (2235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (2235)Termination reason: Unknown
% 1.33/0.53  % (2235)Termination phase: Property scanning
% 1.33/0.53  
% 1.33/0.53  % (2235)Memory used [KB]: 1791
% 1.33/0.53  % (2235)Time elapsed: 0.007 s
% 1.33/0.53  % (2235)Instructions burned: 14 (million)
% 1.33/0.53  % (2235)------------------------------
% 1.33/0.53  % (2235)------------------------------
% 1.33/0.53  % (2252)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)
% 1.33/0.54  % (2230)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)
% 1.33/0.54  % (2240)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)
% 1.33/0.54  % (2232)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)
% 1.33/0.54  % (2254)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)
% 1.33/0.54  % (2234)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)
% 1.33/0.54  % (2230)Instruction limit reached!
% 1.33/0.54  % (2230)------------------------------
% 1.33/0.54  % (2230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54  % (2230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54  % (2230)Termination reason: Unknown
% 1.33/0.54  % (2230)Termination phase: shuffling
% 1.33/0.54  
% 1.33/0.54  % (2230)Memory used [KB]: 1791
% 1.33/0.54  % (2230)Time elapsed: 0.007 s
% 1.33/0.54  % (2230)Instructions burned: 15 (million)
% 1.33/0.54  % (2230)------------------------------
% 1.33/0.54  % (2230)------------------------------
% 1.33/0.55  % (2231)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)
% 1.33/0.55  % (2244)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)
% 1.33/0.55  % (2242)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.33/0.55  % (2225)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.33/0.55  % (2245)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)
% 1.33/0.55  % (2227)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.33/0.55  % (2227)Instruction limit reached!
% 1.33/0.55  % (2227)------------------------------
% 1.33/0.55  % (2227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.55  % (2227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.55  % (2227)Termination reason: Unknown
% 1.33/0.55  % (2227)Termination phase: shuffling
% 1.33/0.55  
% 1.33/0.55  % (2227)Memory used [KB]: 1535
% 1.33/0.55  % (2227)Time elapsed: 0.002 s
% 1.33/0.55  % (2227)Instructions burned: 3 (million)
% 1.33/0.55  % (2227)------------------------------
% 1.33/0.55  % (2227)------------------------------
% 1.33/0.55  % (2237)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)
% 1.33/0.56  % (2226)Instruction limit reached!
% 1.33/0.56  % (2226)------------------------------
% 1.33/0.56  % (2226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.56  % (2226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.56  % (2226)Termination reason: Unknown
% 1.33/0.56  % (2226)Termination phase: Property scanning
% 1.33/0.56  
% 1.33/0.56  % (2226)Memory used [KB]: 1791
% 1.33/0.56  % (2226)Time elapsed: 0.007 s
% 1.33/0.56  % (2226)Instructions burned: 13 (million)
% 1.33/0.56  % (2226)------------------------------
% 1.33/0.56  % (2226)------------------------------
% 1.33/0.56  % (2241)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)
% 1.33/0.56  % (2240)Instruction limit reached!
% 1.33/0.56  % (2240)------------------------------
% 1.33/0.56  % (2240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.56  % (2240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.56  % (2240)Termination reason: Unknown
% 1.33/0.56  % (2240)Termination phase: Property scanning
% 1.33/0.56  
% 1.33/0.56  % (2240)Memory used [KB]: 1791
% 1.33/0.56  % (2240)Time elapsed: 0.005 s
% 1.33/0.56  % (2240)Instructions burned: 8 (million)
% 1.33/0.56  % (2240)------------------------------
% 1.33/0.56  % (2240)------------------------------
% 1.33/0.56  % (2253)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)
% 1.33/0.56  % (2253)Instruction limit reached!
% 1.33/0.56  % (2253)------------------------------
% 1.33/0.56  % (2253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.56  % (2253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.56  % (2253)Termination reason: Unknown
% 1.33/0.56  % (2253)Termination phase: Property scanning
% 1.33/0.56  
% 1.33/0.56  % (2253)Memory used [KB]: 1791
% 1.33/0.56  % (2253)Time elapsed: 0.005 s
% 1.33/0.56  % (2253)Instructions burned: 8 (million)
% 1.33/0.56  % (2253)------------------------------
% 1.33/0.56  % (2253)------------------------------
% 1.33/0.56  % (2249)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)
% 1.33/0.56  % (2251)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.56  % (2248)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)
% 1.33/0.56  % (2244)Instruction limit reached!
% 1.33/0.56  % (2244)------------------------------
% 1.33/0.56  % (2244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.56  % (2244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.56  % (2244)Termination reason: Unknown
% 1.33/0.56  % (2244)Termination phase: Property scanning
% 1.33/0.56  
% 1.33/0.56  % (2244)Memory used [KB]: 1791
% 1.33/0.56  % (2244)Time elapsed: 0.007 s
% 1.33/0.56  % (2244)Instructions burned: 13 (million)
% 1.33/0.56  % (2244)------------------------------
% 1.33/0.56  % (2244)------------------------------
% 1.33/0.56  % (2250)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)
% 1.33/0.57  % (2242)Instruction limit reached!
% 1.33/0.57  % (2242)------------------------------
% 1.33/0.57  % (2242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.57  % (2242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.57  % (2242)Termination reason: Unknown
% 1.33/0.57  % (2242)Termination phase: Preprocessing 2
% 1.33/0.57  
% 1.33/0.57  % (2242)Memory used [KB]: 1535
% 1.33/0.57  % (2242)Time elapsed: 0.002 s
% 1.33/0.57  % (2242)Instructions burned: 3 (million)
% 1.33/0.57  % (2242)------------------------------
% 1.33/0.57  % (2242)------------------------------
% 1.33/0.57  % (2237)Instruction limit reached!
% 1.33/0.57  % (2237)------------------------------
% 1.33/0.57  % (2237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.57  % (2237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.57  % (2237)Termination reason: Unknown
% 1.33/0.57  % (2237)Termination phase: Equality proxy
% 1.33/0.57  
% 1.33/0.57  % (2237)Memory used [KB]: 1918
% 1.33/0.57  % (2237)Time elapsed: 0.008 s
% 1.33/0.57  % (2237)Instructions burned: 16 (million)
% 1.33/0.57  % (2237)------------------------------
% 1.33/0.57  % (2237)------------------------------
% 1.33/0.59  % (2252)Instruction limit reached!
% 1.33/0.59  % (2252)------------------------------
% 1.33/0.59  % (2252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.59  % (2252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.59  % (2252)Termination reason: Unknown
% 1.33/0.59  % (2252)Termination phase: Saturation
% 1.33/0.59  
% 1.33/0.59  % (2252)Memory used [KB]: 7164
% 1.33/0.59  % (2252)Time elapsed: 0.013 s
% 1.33/0.59  % (2252)Instructions burned: 26 (million)
% 1.33/0.59  % (2252)------------------------------
% 1.33/0.59  % (2252)------------------------------
% 1.33/0.59  % (2232)Instruction limit reached!
% 1.33/0.59  % (2232)------------------------------
% 1.33/0.59  % (2232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.59  % (2232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.59  % (2232)Termination reason: Unknown
% 1.33/0.59  % (2232)Termination phase: Saturation
% 1.33/0.59  
% 1.33/0.59  % (2232)Memory used [KB]: 7291
% 1.33/0.59  % (2232)Time elapsed: 0.166 s
% 1.33/0.59  % (2232)Instructions burned: 40 (million)
% 1.33/0.59  % (2232)------------------------------
% 1.33/0.59  % (2232)------------------------------
% 1.33/0.59  % (2234)Instruction limit reached!
% 1.33/0.59  % (2234)------------------------------
% 1.33/0.59  % (2234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.59  % (2234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.59  % (2234)Termination reason: Unknown
% 1.33/0.59  % (2234)Termination phase: Saturation
% 1.33/0.59  
% 1.33/0.59  % (2234)Memory used [KB]: 7164
% 1.33/0.59  % (2234)Time elapsed: 0.175 s
% 1.33/0.59  % (2234)Instructions burned: 34 (million)
% 1.33/0.59  % (2234)------------------------------
% 1.33/0.59  % (2234)------------------------------
% 1.33/0.60  % (2246)Instruction limit reached!
% 1.33/0.60  % (2246)------------------------------
% 1.33/0.60  % (2246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.60  % (2246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.60  % (2246)Termination reason: Unknown
% 1.33/0.60  % (2246)Termination phase: Saturation
% 1.33/0.60  
% 1.33/0.60  % (2246)Memory used [KB]: 7291
% 1.33/0.60  % (2246)Time elapsed: 0.191 s
% 1.33/0.60  % (2246)Instructions burned: 99 (million)
% 1.33/0.60  % (2246)------------------------------
% 1.33/0.60  % (2246)------------------------------
% 1.33/0.60  % (2254)Instruction limit reached!
% 1.33/0.60  % (2254)------------------------------
% 1.33/0.60  % (2254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.60  % (2254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.60  % (2254)Termination reason: Unknown
% 1.33/0.60  % (2254)Termination phase: Clausification
% 1.33/0.60  
% 1.33/0.60  % (2254)Memory used [KB]: 16375
% 1.33/0.60  % (2254)Time elapsed: 0.018 s
% 1.33/0.60  % (2254)Instructions burned: 25 (million)
% 1.33/0.60  % (2254)------------------------------
% 1.33/0.60  % (2254)------------------------------
% 1.33/0.60  % (2245)Instruction limit reached!
% 1.33/0.60  % (2245)------------------------------
% 1.33/0.60  % (2245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.60  % (2245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.60  % (2245)Termination reason: Unknown
% 1.33/0.60  % (2245)Termination phase: Saturation
% 1.33/0.60  
% 1.33/0.60  % (2245)Memory used [KB]: 7036
% 1.33/0.60  % (2245)Time elapsed: 0.015 s
% 1.33/0.60  % (2245)Instructions burned: 32 (million)
% 1.33/0.60  % (2245)------------------------------
% 1.33/0.60  % (2245)------------------------------
% 1.33/0.60  % (2231)Instruction limit reached!
% 1.33/0.60  % (2231)------------------------------
% 1.33/0.60  % (2231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.60  % (2231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.60  % (2231)Termination reason: Unknown
% 1.33/0.60  % (2231)Termination phase: Saturation
% 1.33/0.60  
% 1.33/0.60  % (2231)Memory used [KB]: 7419
% 1.33/0.60  % (2231)Time elapsed: 0.151 s
% 1.33/0.60  % (2231)Instructions burned: 39 (million)
% 1.33/0.60  % (2231)------------------------------
% 1.33/0.60  % (2231)------------------------------
% 1.33/0.61  % (2233)Instruction limit reached!
% 1.33/0.61  % (2233)------------------------------
% 1.33/0.61  % (2233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.61  % (2233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.61  % (2233)Termination reason: Unknown
% 1.33/0.61  % (2233)Termination phase: Saturation
% 1.33/0.61  
% 1.33/0.61  % (2233)Memory used [KB]: 7291
% 1.33/0.61  % (2233)Time elapsed: 0.189 s
% 1.33/0.61  % (2233)Instructions burned: 49 (million)
% 1.33/0.61  % (2233)------------------------------
% 1.33/0.61  % (2233)------------------------------
% 1.33/0.61  % (2249)Refutation not found, incomplete strategy% (2249)------------------------------
% 1.33/0.61  % (2249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.61  % (2249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.61  % (2249)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.61  
% 1.33/0.61  % (2249)Memory used [KB]: 7547
% 1.33/0.61  % (2249)Time elapsed: 0.198 s
% 1.33/0.61  % (2249)Instructions burned: 39 (million)
% 1.33/0.61  % (2249)------------------------------
% 1.33/0.61  % (2249)------------------------------
% 1.94/0.62  % (2255)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.94/0.64  % (2258)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 1.94/0.64  % (2248)Instruction limit reached!
% 1.94/0.64  % (2248)------------------------------
% 1.94/0.64  % (2248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.64  % (2248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.64  % (2248)Termination reason: Unknown
% 1.94/0.64  % (2248)Termination phase: Saturation
% 1.94/0.64  
% 1.94/0.64  % (2248)Memory used [KB]: 2686
% 1.94/0.64  % (2248)Time elapsed: 0.246 s
% 1.94/0.64  % (2248)Instructions burned: 47 (million)
% 1.94/0.64  % (2248)------------------------------
% 1.94/0.64  % (2248)------------------------------
% 1.94/0.64  % (2256)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.94/0.64  % (2228)Instruction limit reached!
% 1.94/0.64  % (2228)------------------------------
% 1.94/0.64  % (2228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.64  % (2228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.64  % (2228)Termination reason: Unknown
% 1.94/0.64  % (2228)Termination phase: Saturation
% 1.94/0.64  
% 1.94/0.64  % (2228)Memory used [KB]: 7547
% 1.94/0.64  % (2228)Time elapsed: 0.186 s
% 1.94/0.64  % (2228)Instructions burned: 52 (million)
% 1.94/0.64  % (2228)------------------------------
% 1.94/0.64  % (2228)------------------------------
% 1.94/0.65  % (2256)Instruction limit reached!
% 1.94/0.65  % (2256)------------------------------
% 1.94/0.65  % (2256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.65  % (2256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.65  % (2256)Termination reason: Unknown
% 1.94/0.65  % (2256)Termination phase: Preprocessing 3
% 1.94/0.65  
% 1.94/0.65  % (2256)Memory used [KB]: 1663
% 1.94/0.65  % (2256)Time elapsed: 0.004 s
% 1.94/0.65  % (2256)Instructions burned: 8 (million)
% 1.94/0.65  % (2256)------------------------------
% 1.94/0.65  % (2256)------------------------------
% 1.94/0.65  % (2255)Refutation not found, incomplete strategy% (2255)------------------------------
% 1.94/0.65  % (2255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.65  % (2255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.65  % (2255)Termination reason: Refutation not found, incomplete strategy
% 1.94/0.65  
% 1.94/0.65  % (2255)Memory used [KB]: 6652
% 1.94/0.65  % (2255)Time elapsed: 0.112 s
% 1.94/0.65  % (2255)Instructions burned: 21 (million)
% 1.94/0.65  % (2255)------------------------------
% 1.94/0.65  % (2255)------------------------------
% 1.94/0.65  % (2257)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 1.94/0.66  % (2241)Instruction limit reached!
% 1.94/0.66  % (2241)------------------------------
% 1.94/0.66  % (2241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.66  % (2241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66  % (2241)Termination reason: Unknown
% 1.94/0.66  % (2241)Termination phase: Saturation
% 1.94/0.66  
% 1.94/0.66  % (2241)Memory used [KB]: 7419
% 1.94/0.66  % (2241)Time elapsed: 0.243 s
% 1.94/0.66  % (2241)Instructions burned: 51 (million)
% 1.94/0.66  % (2241)------------------------------
% 1.94/0.66  % (2241)------------------------------
% 1.94/0.66  % (2261)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 1.94/0.67  % (2250)First to succeed.
% 1.94/0.68  % (2262)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 1.94/0.68  % (2260)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 1.94/0.68  % (2266)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 1.94/0.69  % (2265)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 1.94/0.69  % (2263)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 1.94/0.69  % (2264)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 1.94/0.69  % (2259)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.12/0.70  % (2250)Refutation found. Thanks to Tanya!
% 2.12/0.70  % SZS status Theorem for theBenchmark
% 2.12/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.71  % (2250)------------------------------
% 2.12/0.71  % (2250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.71  % (2250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.71  % (2250)Termination reason: Refutation
% 2.12/0.71  
% 2.12/0.71  % (2250)Memory used [KB]: 8315
% 2.12/0.71  % (2250)Time elapsed: 0.043 s
% 2.12/0.71  % (2250)Instructions burned: 61 (million)
% 2.12/0.71  % (2250)------------------------------
% 2.12/0.71  % (2250)------------------------------
% 2.12/0.71  % (2224)Success in time 0.372 s
%------------------------------------------------------------------------------