TSTP Solution File: ALG055+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG055+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n028.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 15:42:24 EDT 2022

% Result   : Theorem 2.21s 0.73s
% Output   : Refutation 2.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  188
% Syntax   : Number of formulae    :  346 (  23 unt;   0 def)
%            Number of atoms       : 2929 (2232 equ)
%            Maximal formula atoms :  425 (   8 avg)
%            Number of connectives : 4150 (1567   ~;1142   |;1399   &)
%                                         (  42 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  184 ( 182 usr; 183 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4169,plain,
    $false,
    inference(avatar_sat_refutation,[],[f984,f1164,f1353,f1493,f1538,f1553,f2008,f2179,f2245,f2288,f2313,f2369,f2379,f2386,f2476,f2478,f2503,f2509,f2542,f2545,f2619,f2640,f2654,f2656,f2708,f2709,f2710,f2711,f2714,f2715,f2842,f3140,f3156,f3203,f3207,f3301,f3541,f3549,f3596,f3653,f3782,f3805,f3915,f3965,f4038]) ).

fof(f4038,plain,
    ( spl140_105
    | ~ spl140_2 ),
    inference(avatar_split_clause,[],[f4022,f932,f1390]) ).

fof(f1390,plain,
    ( spl140_105
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_105])]) ).

fof(f932,plain,
    ( spl140_2
  <=> e0 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_2])]) ).

fof(f4022,plain,
    ( e1 = op(e0,e1)
    | ~ spl140_2 ),
    inference(backward_demodulation,[],[f434,f933]) ).

fof(f933,plain,
    ( e0 = unit
    | ~ spl140_2 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f434,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f3965,plain,
    ( ~ spl140_100
    | ~ spl140_101 ),
    inference(avatar_split_clause,[],[f3421,f1373,f1369]) ).

fof(f1369,plain,
    ( spl140_100
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_100])]) ).

fof(f1373,plain,
    ( spl140_101
  <=> e3 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_101])]) ).

fof(f3421,plain,
    ( e3 != op(e2,e1)
    | ~ spl140_101 ),
    inference(forward_demodulation,[],[f327,f1375]) ).

fof(f1375,plain,
    ( e3 = op(e2,e4)
    | ~ spl140_101 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f327,plain,
    op(e2,e1) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f3915,plain,
    ( ~ spl140_135
    | ~ spl140_227 ),
    inference(avatar_contradiction_clause,[],[f3914]) ).

fof(f3914,plain,
    ( $false
    | ~ spl140_135
    | ~ spl140_227 ),
    inference(subsumption_resolution,[],[f3911,f397]) ).

fof(f397,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

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

fof(f3911,plain,
    ( e1 = e4
    | ~ spl140_135
    | ~ spl140_227 ),
    inference(backward_demodulation,[],[f1974,f1529]) ).

fof(f1529,plain,
    ( e1 = op(e2,e2)
    | ~ spl140_135 ),
    inference(avatar_component_clause,[],[f1527]) ).

fof(f1527,plain,
    ( spl140_135
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_135])]) ).

fof(f1974,plain,
    ( e4 = op(e2,e2)
    | ~ spl140_227 ),
    inference(avatar_component_clause,[],[f1973]) ).

fof(f1973,plain,
    ( spl140_227
  <=> e4 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_227])]) ).

fof(f3805,plain,
    ( spl140_25
    | ~ spl140_61 ),
    inference(avatar_split_clause,[],[f3798,f1191,f1033]) ).

fof(f1033,plain,
    ( spl140_25
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_25])]) ).

fof(f1191,plain,
    ( spl140_61
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_61])]) ).

fof(f3798,plain,
    ( e4 = op(e4,e1)
    | ~ spl140_61 ),
    inference(backward_demodulation,[],[f439,f1192]) ).

fof(f1192,plain,
    ( e1 = unit
    | ~ spl140_61 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f439,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f3782,plain,
    ( ~ spl140_25
    | ~ spl140_152 ),
    inference(avatar_split_clause,[],[f3781,f1607,f1033]) ).

fof(f1607,plain,
    ( spl140_152
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_152])]) ).

fof(f3781,plain,
    ( e4 != op(e4,e1)
    | ~ spl140_152 ),
    inference(forward_demodulation,[],[f330,f1608]) ).

fof(f1608,plain,
    ( e4 = op(e4,e0)
    | ~ spl140_152 ),
    inference(avatar_component_clause,[],[f1607]) ).

fof(f330,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3653,plain,
    ( ~ spl140_52
    | ~ spl140_131 ),
    inference(avatar_contradiction_clause,[],[f3652]) ).

fof(f3652,plain,
    ( $false
    | ~ spl140_52
    | ~ spl140_131 ),
    inference(subsumption_resolution,[],[f3651,f401]) ).

fof(f401,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f3651,plain,
    ( e0 = e4
    | ~ spl140_52
    | ~ spl140_131 ),
    inference(forward_demodulation,[],[f3650,f1511]) ).

fof(f1511,plain,
    ( e0 = op(e4,e4)
    | ~ spl140_131 ),
    inference(avatar_component_clause,[],[f1509]) ).

fof(f1509,plain,
    ( spl140_131
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_131])]) ).

fof(f3650,plain,
    ( e4 = op(e4,e4)
    | ~ spl140_52 ),
    inference(forward_demodulation,[],[f439,f1153]) ).

fof(f1153,plain,
    ( e4 = unit
    | ~ spl140_52 ),
    inference(avatar_component_clause,[],[f1152]) ).

fof(f1152,plain,
    ( spl140_52
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_52])]) ).

fof(f3596,plain,
    ( ~ spl140_73
    | ~ spl140_227 ),
    inference(avatar_contradiction_clause,[],[f3595]) ).

fof(f3595,plain,
    ( $false
    | ~ spl140_73
    | ~ spl140_227 ),
    inference(subsumption_resolution,[],[f3594,f404]) ).

fof(f404,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f3594,plain,
    ( e3 = e4
    | ~ spl140_73
    | ~ spl140_227 ),
    inference(backward_demodulation,[],[f1974,f1245]) ).

fof(f1245,plain,
    ( e3 = op(e2,e2)
    | ~ spl140_73 ),
    inference(avatar_component_clause,[],[f1244]) ).

fof(f1244,plain,
    ( spl140_73
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_73])]) ).

fof(f3549,plain,
    ( ~ spl140_88
    | ~ spl140_227 ),
    inference(avatar_contradiction_clause,[],[f3548]) ).

fof(f3548,plain,
    ( $false
    | ~ spl140_88
    | ~ spl140_227 ),
    inference(subsumption_resolution,[],[f3547,f400]) ).

fof(f400,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f3547,plain,
    ( e2 = e4
    | ~ spl140_88
    | ~ spl140_227 ),
    inference(forward_demodulation,[],[f1974,f1314]) ).

fof(f1314,plain,
    ( e2 = op(e2,e2)
    | ~ spl140_88 ),
    inference(avatar_component_clause,[],[f1312]) ).

fof(f1312,plain,
    ( spl140_88
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_88])]) ).

fof(f3541,plain,
    ( ~ spl140_71
    | ~ spl140_170 ),
    inference(avatar_contradiction_clause,[],[f3540]) ).

fof(f3540,plain,
    ( $false
    | ~ spl140_71
    | ~ spl140_170 ),
    inference(subsumption_resolution,[],[f3539,f397]) ).

fof(f3539,plain,
    ( e1 = e4
    | ~ spl140_71
    | ~ spl140_170 ),
    inference(forward_demodulation,[],[f3521,f1691]) ).

fof(f1691,plain,
    ( e1 = op(e3,e4)
    | ~ spl140_170 ),
    inference(avatar_component_clause,[],[f1689]) ).

fof(f1689,plain,
    ( spl140_170
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_170])]) ).

fof(f3521,plain,
    ( e4 = op(e3,e4)
    | ~ spl140_71 ),
    inference(backward_demodulation,[],[f437,f1237]) ).

fof(f1237,plain,
    ( e3 = unit
    | ~ spl140_71 ),
    inference(avatar_component_clause,[],[f1236]) ).

fof(f1236,plain,
    ( spl140_71
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_71])]) ).

fof(f437,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f3301,plain,
    ( ~ spl140_6
    | spl140_223 ),
    inference(avatar_contradiction_clause,[],[f3300]) ).

fof(f3300,plain,
    ( $false
    | ~ spl140_6
    | spl140_223 ),
    inference(subsumption_resolution,[],[f3289,f1949]) ).

fof(f1949,plain,
    ( e4 != op(e2,e4)
    | spl140_223 ),
    inference(avatar_component_clause,[],[f1948]) ).

fof(f1948,plain,
    ( spl140_223
  <=> e4 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_223])]) ).

fof(f3289,plain,
    ( e4 = op(e2,e4)
    | ~ spl140_6 ),
    inference(backward_demodulation,[],[f437,f950]) ).

fof(f950,plain,
    ( e2 = unit
    | ~ spl140_6 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f949,plain,
    ( spl140_6
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_6])]) ).

fof(f3207,plain,
    ( ~ spl140_136
    | ~ spl140_105 ),
    inference(avatar_split_clause,[],[f3206,f1390,f1531]) ).

fof(f1531,plain,
    ( spl140_136
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_136])]) ).

fof(f3206,plain,
    ( e1 != op(e2,e1)
    | ~ spl140_105 ),
    inference(forward_demodulation,[],[f347,f1392]) ).

fof(f1392,plain,
    ( e1 = op(e0,e1)
    | ~ spl140_105 ),
    inference(avatar_component_clause,[],[f1390]) ).

fof(f347,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3203,plain,
    ( ~ spl140_139
    | ~ spl140_227 ),
    inference(avatar_contradiction_clause,[],[f3202]) ).

fof(f3202,plain,
    ( $false
    | ~ spl140_139
    | ~ spl140_227 ),
    inference(subsumption_resolution,[],[f3201,f401]) ).

fof(f3201,plain,
    ( e0 = e4
    | ~ spl140_139
    | ~ spl140_227 ),
    inference(backward_demodulation,[],[f1974,f1546]) ).

fof(f1546,plain,
    ( e0 = op(e2,e2)
    | ~ spl140_139 ),
    inference(avatar_component_clause,[],[f1545]) ).

fof(f1545,plain,
    ( spl140_139
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_139])]) ).

fof(f3156,plain,
    ( ~ spl140_62
    | ~ spl140_153 ),
    inference(avatar_contradiction_clause,[],[f3155]) ).

fof(f3155,plain,
    ( $false
    | ~ spl140_62
    | ~ spl140_153 ),
    inference(subsumption_resolution,[],[f3154,f403]) ).

fof(f403,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f3154,plain,
    ( e1 = e2
    | ~ spl140_62
    | ~ spl140_153 ),
    inference(forward_demodulation,[],[f1614,f1196]) ).

fof(f1196,plain,
    ( e1 = op(e2,e0)
    | ~ spl140_62 ),
    inference(avatar_component_clause,[],[f1195]) ).

fof(f1195,plain,
    ( spl140_62
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_62])]) ).

fof(f1614,plain,
    ( e2 = op(e2,e0)
    | ~ spl140_153 ),
    inference(avatar_component_clause,[],[f1612]) ).

fof(f1612,plain,
    ( spl140_153
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_153])]) ).

fof(f3140,plain,
    ( ~ spl140_101
    | ~ spl140_245 ),
    inference(avatar_contradiction_clause,[],[f3139]) ).

fof(f3139,plain,
    ( $false
    | ~ spl140_101
    | ~ spl140_245 ),
    inference(subsumption_resolution,[],[f3138,f399]) ).

fof(f399,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f3138,plain,
    ( e2 = e3
    | ~ spl140_101
    | ~ spl140_245 ),
    inference(forward_demodulation,[],[f1375,f2066]) ).

fof(f2066,plain,
    ( e2 = op(e2,e4)
    | ~ spl140_245 ),
    inference(avatar_component_clause,[],[f2065]) ).

fof(f2065,plain,
    ( spl140_245
  <=> e2 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_245])]) ).

fof(f2842,plain,
    ( spl140_153
    | ~ spl140_2 ),
    inference(avatar_split_clause,[],[f2827,f932,f1612]) ).

fof(f2827,plain,
    ( e2 = op(e2,e0)
    | ~ spl140_2 ),
    inference(backward_demodulation,[],[f436,f933]) ).

fof(f436,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f2715,plain,
    ( spl140_131
    | ~ spl140_227 ),
    inference(avatar_split_clause,[],[f2696,f1973,f1509]) ).

fof(f2696,plain,
    ( e0 = op(e4,e4)
    | ~ spl140_227 ),
    inference(backward_demodulation,[],[f292,f1974]) ).

fof(f292,plain,
    e0 = op(op(e2,e2),op(e2,e2)),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f2714,plain,
    ( ~ spl140_226
    | ~ spl140_227 ),
    inference(avatar_split_clause,[],[f2704,f1973,f1966]) ).

fof(f1966,plain,
    ( spl140_226
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_226])]) ).

fof(f2704,plain,
    ( e4 != op(e2,e3)
    | ~ spl140_227 ),
    inference(backward_demodulation,[],[f383,f1974]) ).

fof(f383,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2711,plain,
    ( spl140_170
    | ~ spl140_227 ),
    inference(avatar_split_clause,[],[f2705,f1973,f1689]) ).

fof(f2705,plain,
    ( e1 = op(e3,e4)
    | ~ spl140_227 ),
    inference(backward_demodulation,[],[f1909,f1974]) ).

fof(f1909,plain,
    e1 = op(e3,op(e2,e2)),
    inference(forward_demodulation,[],[f291,f293]) ).

fof(f293,plain,
    e3 = op(e2,op(e2,e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f291,plain,
    e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f2710,plain,
    ( spl140_101
    | ~ spl140_227 ),
    inference(avatar_split_clause,[],[f2697,f1973,f1373]) ).

fof(f2697,plain,
    ( e3 = op(e2,e4)
    | ~ spl140_227 ),
    inference(backward_demodulation,[],[f293,f1974]) ).

fof(f2709,plain,
    ( ~ spl140_223
    | ~ spl140_227 ),
    inference(avatar_split_clause,[],[f2701,f1973,f1948]) ).

fof(f2701,plain,
    ( e4 != op(e2,e4)
    | ~ spl140_227 ),
    inference(backward_demodulation,[],[f315,f1974]) ).

fof(f315,plain,
    op(e2,e2) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2708,plain,
    ( ~ spl140_95
    | ~ spl140_227 ),
    inference(avatar_split_clause,[],[f2703,f1973,f1346]) ).

fof(f1346,plain,
    ( spl140_95
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_95])]) ).

fof(f2703,plain,
    ( e4 != op(e2,e1)
    | ~ spl140_227 ),
    inference(backward_demodulation,[],[f360,f1974]) ).

fof(f360,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2656,plain,
    ( spl140_152
    | ~ spl140_127
    | ~ spl140_131 ),
    inference(avatar_split_clause,[],[f620,f1509,f1490,f1607]) ).

fof(f1490,plain,
    ( spl140_127
  <=> sP107 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_127])]) ).

fof(f620,plain,
    ( e0 != op(e4,e4)
    | ~ sP107
    | e4 = op(e4,e0) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ( ( e0 != unit
      & e4 = op(e4,e0) )
    | e0 != op(e4,e4)
    | ~ sP107 ),
    inference(nnf_transformation,[],[f117]) ).

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

fof(f2654,plain,
    ( ~ spl140_8
    | spl140_293 ),
    inference(avatar_split_clause,[],[f465,f2366,f958]) ).

fof(f958,plain,
    ( spl140_8
  <=> sP139 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_8])]) ).

fof(f2366,plain,
    ( spl140_293
  <=> sP134 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_293])]) ).

fof(f465,plain,
    ( sP134
    | ~ sP139 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ( sP134
      & sP133
      & sP132
      & sP131
      & sP130
      & sP129
      & sP128
      & sP127
      & sP126
      & sP125
      & sP124
      & sP123
      & sP122
      & sP121
      & sP120
      & sP119
      & sP118
      & sP117
      & sP116
      & sP115
      & sP114
      & sP113
      & sP112
      & sP111
      & sP110 )
    | ~ sP139 ),
    inference(nnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( ( sP134
      & sP133
      & sP132
      & sP131
      & sP130
      & sP129
      & sP128
      & sP127
      & sP126
      & sP125
      & sP124
      & sP123
      & sP122
      & sP121
      & sP120
      & sP119
      & sP118
      & sP117
      & sP116
      & sP115
      & sP114
      & sP113
      & sP112
      & sP111
      & sP110 )
    | ~ sP139 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).

fof(f2640,plain,
    ( ~ spl140_140
    | ~ spl140_137
    | spl140_100 ),
    inference(avatar_split_clause,[],[f723,f1369,f1535,f1550]) ).

fof(f1550,plain,
    ( spl140_140
  <=> sP56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_140])]) ).

fof(f1535,plain,
    ( spl140_137
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_137])]) ).

fof(f723,plain,
    ( e3 = op(e2,e1)
    | e1 != op(e2,e3)
    | ~ sP56 ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ( ( e3 = op(e2,e1)
      & e1 != unit )
    | e1 != op(e2,e3)
    | ~ sP56 ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( ( e3 = op(e2,e1)
      & e1 != unit )
    | e1 != op(e2,e3)
    | ~ sP56 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).

fof(f2619,plain,
    ( ~ spl140_288
    | spl140_226
    | ~ spl140_101 ),
    inference(avatar_split_clause,[],[f674,f1373,f1966,f2336]) ).

fof(f2336,plain,
    ( spl140_288
  <=> sP80 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_288])]) ).

fof(f674,plain,
    ( e3 != op(e2,e4)
    | e4 = op(e2,e3)
    | ~ sP80 ),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ( ( e3 != unit
      & e4 = op(e2,e3) )
    | e3 != op(e2,e4)
    | ~ sP80 ),
    inference(nnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( ( e3 != unit
      & e4 = op(e2,e3) )
    | e3 != op(e2,e4)
    | ~ sP80 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).

fof(f2545,plain,
    ( spl140_139
    | ~ spl140_13
    | ~ spl140_153 ),
    inference(avatar_split_clause,[],[f568,f1612,f981,f1545]) ).

fof(f981,plain,
    ( spl140_13
  <=> sP133 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_13])]) ).

fof(f568,plain,
    ( e2 != op(e2,e0)
    | ~ sP133
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ( ( e2 != unit
      & e0 = op(e2,e2) )
    | e2 != op(e2,e0)
    | ~ sP133 ),
    inference(nnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( ( e2 != unit
      & e0 = op(e2,e2) )
    | e2 != op(e2,e0)
    | ~ sP133 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).

fof(f2542,plain,
    spl140_227,
    inference(avatar_split_clause,[],[f294,f1973]) ).

fof(f294,plain,
    e4 = op(e2,e2),
    inference(cnf_transformation,[],[f6]) ).

fof(f2509,plain,
    ( spl140_61
    | spl140_6
    | spl140_52
    | spl140_71
    | spl140_2 ),
    inference(avatar_split_clause,[],[f435,f932,f1236,f1152,f949,f1191]) ).

fof(f435,plain,
    ( e0 = unit
    | e3 = unit
    | e4 = unit
    | e2 = unit
    | e1 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2503,plain,
    ( spl140_245
    | spl140_200
    | spl140_88
    | spl140_153
    | spl140_178 ),
    inference(avatar_split_clause,[],[f907,f1727,f1612,f1312,f1834,f2065]) ).

fof(f1834,plain,
    ( spl140_200
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_200])]) ).

fof(f1727,plain,
    ( spl140_178
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_178])]) ).

fof(f907,plain,
    ( e2 = op(e2,e1)
    | e2 = op(e2,e0)
    | e2 = op(e2,e2)
    | e2 = op(e2,e3)
    | e2 = op(e2,e4) ),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f2478,plain,
    ( spl140_288
    | ~ spl140_106 ),
    inference(avatar_split_clause,[],[f511,f1395,f2336]) ).

fof(f1395,plain,
    ( spl140_106
  <=> sP137 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_106])]) ).

fof(f511,plain,
    ( ~ sP137
    | sP80 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( ( sP84
      & sP83
      & sP82
      & sP81
      & sP80
      & sP79
      & sP78
      & sP77
      & sP76
      & sP75
      & sP74
      & sP73
      & sP72
      & sP71
      & sP70
      & sP69
      & sP68
      & sP67
      & sP66
      & sP65
      & sP64
      & sP63
      & sP62
      & sP61
      & sP60 )
    | ~ sP137 ),
    inference(nnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ( sP84
      & sP83
      & sP82
      & sP81
      & sP80
      & sP79
      & sP78
      & sP77
      & sP76
      & sP75
      & sP74
      & sP73
      & sP72
      & sP71
      & sP70
      & sP69
      & sP68
      & sP67
      & sP66
      & sP65
      & sP64
      & sP63
      & sP62
      & sP61
      & sP60 )
    | ~ sP137 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).

fof(f2476,plain,
    ( ~ spl140_2
    | ~ spl140_127
    | ~ spl140_131 ),
    inference(avatar_split_clause,[],[f621,f1509,f1490,f932]) ).

fof(f621,plain,
    ( e0 != op(e4,e4)
    | ~ sP107
    | e0 != unit ),
    inference(cnf_transformation,[],[f183]) ).

fof(f2386,plain,
    ( spl140_245
    | ~ spl140_228
    | ~ spl140_227 ),
    inference(avatar_split_clause,[],[f802,f1973,f1977,f2065]) ).

fof(f1977,plain,
    ( spl140_228
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_228])]) ).

fof(f802,plain,
    ( e4 != op(e2,e2)
    | ~ sP16
    | e2 = op(e2,e4) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f274,plain,
    ( ( e4 != unit
      & e2 = op(e2,e4) )
    | e4 != op(e2,e2)
    | ~ sP16 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( ( e4 != unit
      & e2 = op(e2,e4) )
    | e4 != op(e2,e2)
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f2379,plain,
    ( spl140_106
    | spl140_108
    | spl140_8
    | spl140_14
    | spl140_36 ),
    inference(avatar_split_clause,[],[f876,f1081,f986,f958,f1404,f1395]) ).

fof(f1404,plain,
    ( spl140_108
  <=> sP138 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_108])]) ).

fof(f986,plain,
    ( spl140_14
  <=> sP136 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_14])]) ).

fof(f1081,plain,
    ( spl140_36
  <=> sP135 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_36])]) ).

fof(f876,plain,
    ( sP135
    | sP136
    | sP139
    | sP138
    | sP137 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ( sP139
      | sP138
      | sP137
      | sP136
      | sP135 )
    & ( ( e0 = op(e0,op(e0,e0))
        & e0 != op(e0,op(e0,e0)) )
      | ( e0 != op(e1,op(e1,e0))
        & e1 = op(e0,op(e1,e0)) )
      | ( e0 != op(e4,op(e4,e0))
        & e4 = op(e0,op(e4,e0)) )
      | sP9
      | sP8 )
    & ( ( e1 != op(e3,op(e3,e1))
        & e3 = op(e1,op(e3,e1)) )
      | ( e1 != op(e4,op(e4,e1))
        & e4 = op(e1,op(e4,e1)) )
      | ( e1 != op(e1,op(e1,e1))
        & e1 = op(e1,op(e1,e1)) )
      | sP7
      | sP6 )
    & ( ( e4 != op(e4,op(e4,e4))
        & e4 = op(e4,op(e4,e4)) )
      | ( e1 = op(e4,op(e1,e4))
        & e4 != op(e1,op(e1,e4)) )
      | ( e4 != op(e0,op(e0,e4))
        & e0 = op(e4,op(e0,e4)) )
      | sP5
      | sP4 )
    & ( ( e1 = op(e3,op(e1,e3))
        & e3 != op(e1,op(e1,e3)) )
      | ( e3 != op(e0,op(e0,e3))
        & e0 = op(e3,op(e0,e3)) )
      | ( e2 = op(e3,op(e2,e3))
        & e3 != op(e2,op(e2,e3)) )
      | sP3
      | sP2 )
    & ( ( e2 != op(e1,op(e1,e2))
        & e1 = op(e2,op(e1,e2)) )
      | ( e2 = op(e2,op(e2,e2))
        & e2 != op(e2,op(e2,e2)) )
      | ( e0 = op(e2,op(e0,e2))
        & e2 != op(e0,op(e0,e2)) )
      | sP1
      | sP0 ) ),
    inference(definition_folding,[],[f9,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,
    ( ( e2 != op(e4,op(e4,e2))
      & e4 = op(e2,op(e4,e2)) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f11,plain,
    ( ( e3 = op(e2,op(e3,e2))
      & e2 != op(e3,op(e3,e2)) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f12,plain,
    ( ( e3 != op(e3,op(e3,e3))
      & e3 = op(e3,op(e3,e3)) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

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

fof(f14,plain,
    ( ( e2 = op(e4,op(e2,e4))
      & e4 != op(e2,op(e2,e4)) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f15,plain,
    ( ( e3 = op(e4,op(e3,e4))
      & e4 != op(e3,op(e3,e4)) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

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

fof(f17,plain,
    ( ( e2 = op(e1,op(e2,e1))
      & e1 != op(e2,op(e2,e1)) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f18,plain,
    ( ( e3 = op(e0,op(e3,e0))
      & e0 != op(e3,op(e3,e0)) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f19,plain,
    ( ( e0 != op(e2,op(e2,e0))
      & e2 = op(e0,op(e2,e0)) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

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

fof(f21,plain,
    ( e4 != op(e4,e2)
    | ( e4 != unit
      & e2 = op(e4,e4) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f22,plain,
    ( ( e3 = op(e2,e4)
      & e4 != unit )
    | e4 != op(e2,e3)
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

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

fof(f24,plain,
    ( ( e2 = op(e3,e4)
      & e4 != unit )
    | e4 != op(e3,e2)
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

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

fof(f27,plain,
    ( ( e2 = op(e0,e4)
      & e4 != unit )
    | e4 != op(e0,e2)
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f28,plain,
    ( op(e0,e0) != e4
    | ( e0 = op(e0,e4)
      & e4 != unit )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

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

fof(f30,plain,
    ( ( e4 != unit
      & e4 = op(e0,e4) )
    | e4 != op(e0,e4)
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f31,plain,
    ( e4 != op(e2,e0)
    | ( e0 = op(e2,e4)
      & e4 != unit )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f32,plain,
    ( e4 != op(e3,e0)
    | ( e4 != unit
      & e0 = op(e3,e4) )
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f33,plain,
    ( e4 != op(e2,e1)
    | ( e4 != unit
      & e1 = op(e2,e4) )
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f34,plain,
    ( ( e4 = op(e3,e4)
      & e4 != unit )
    | e4 != op(e3,e4)
    | ~ sP24 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

fof(f35,plain,
    ( ( e4 = op(e2,e4)
      & e4 != unit )
    | e4 != op(e2,e4)
    | ~ sP25 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f36,plain,
    ( e4 != op(e1,e2)
    | ( e4 != unit
      & e2 = op(e1,e4) )
    | ~ sP26 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f37,plain,
    ( ( e1 = op(e0,e4)
      & e4 != unit )
    | e4 != op(e0,e1)
    | ~ sP27 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

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

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

fof(f40,plain,
    ( ( e4 != unit
      & e3 = op(e4,e4) )
    | e4 != op(e4,e3)
    | ~ sP30 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f41,plain,
    ( e4 != op(e0,e3)
    | ( e4 != unit
      & e3 = op(e0,e4) )
    | ~ sP31 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

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

fof(f43,plain,
    ( ( e1 = op(e3,e4)
      & e4 != unit )
    | e4 != op(e3,e1)
    | ~ sP33 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f44,plain,
    ( ( e4 != unit
      & e3 = op(e1,e4) )
    | e4 != op(e1,e3)
    | ~ sP34 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).

fof(f45,plain,
    ( e1 != op(e3,e3)
    | ( e1 != unit
      & e3 = op(e3,e1) )
    | ~ sP35 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).

fof(f46,plain,
    ( e1 != op(e3,e2)
    | ( e1 != unit
      & e2 = op(e3,e1) )
    | ~ sP36 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f47,plain,
    ( e1 != op(e2,e4)
    | ( e4 = op(e2,e1)
      & e1 != unit )
    | ~ sP37 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

fof(f48,plain,
    ( ( e1 != unit
      & e4 = op(e3,e1) )
    | e1 != op(e3,e4)
    | ~ sP38 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f49,plain,
    ( ( e1 = op(e0,e1)
      & e1 != unit )
    | e1 != op(e0,e1)
    | ~ sP39 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

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

fof(f51,plain,
    ( e1 != op(e4,e0)
    | ( e1 != unit
      & e0 = op(e4,e1) )
    | ~ sP41 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).

fof(f52,plain,
    ( ( e1 != unit
      & e0 = op(e2,e1) )
    | e1 != op(e2,e0)
    | ~ sP42 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).

fof(f53,plain,
    ( ( e4 = op(e0,e1)
      & e1 != unit )
    | e1 != op(e0,e4)
    | ~ sP43 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).

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

fof(f55,plain,
    ( ( e1 != unit
      & e4 = op(e4,e1) )
    | e1 != op(e4,e4)
    | ~ sP45 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).

fof(f56,plain,
    ( ( e3 = op(e0,e1)
      & e1 != unit )
    | e1 != op(e0,e3)
    | ~ sP46 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).

fof(f57,plain,
    ( ( e4 = op(e1,e1)
      & e1 != unit )
    | e1 != op(e1,e4)
    | ~ sP47 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).

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

fof(f59,plain,
    ( e1 != op(e4,e2)
    | ( e1 != unit
      & e2 = op(e4,e1) )
    | ~ sP49 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).

fof(f60,plain,
    ( ( e2 = op(e2,e1)
      & e1 != unit )
    | e1 != op(e2,e2)
    | ~ sP50 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).

fof(f61,plain,
    ( ( e1 != unit
      & e3 = op(e4,e1) )
    | e1 != op(e4,e3)
    | ~ sP51 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).

fof(f62,plain,
    ( ( e1 != unit
      & e0 = op(e1,e1) )
    | e1 != op(e1,e0)
    | ~ sP52 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).

fof(f63,plain,
    ( ( e1 != unit
      & e3 = op(e1,e1) )
    | e1 != op(e1,e3)
    | ~ sP53 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).

fof(f64,plain,
    ( e1 != op(e3,e0)
    | ( e1 != unit
      & e0 = op(e3,e1) )
    | ~ sP54 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).

fof(f65,plain,
    ( ( e2 = op(e0,e1)
      & e1 != unit )
    | e1 != op(e0,e2)
    | ~ sP55 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).

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

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

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

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

fof(f71,plain,
    ( ( e3 != unit
      & e0 = op(e4,e3) )
    | e3 != op(e4,e0)
    | ~ sP61 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).

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

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

fof(f74,plain,
    ( e3 != op(e2,e3)
    | ( e3 = op(e2,e3)
      & e3 != unit )
    | ~ sP64 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).

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

fof(f76,plain,
    ( ( e3 != unit
      & e4 = op(e1,e3) )
    | e3 != op(e1,e4)
    | ~ sP66 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).

fof(f77,plain,
    ( ( e3 != unit
      & e1 = op(e3,e3) )
    | e3 != op(e3,e1)
    | ~ sP67 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).

fof(f78,plain,
    ( e3 != op(e1,e0)
    | ( e0 = op(e1,e3)
      & e3 != unit )
    | ~ sP68 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).

fof(f79,plain,
    ( e3 != op(e3,e0)
    | ( e3 != unit
      & e0 = op(e3,e3) )
    | ~ sP69 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).

fof(f80,plain,
    ( ( e1 = op(e2,e3)
      & e3 != unit )
    | e3 != op(e2,e1)
    | ~ sP70 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).

fof(f81,plain,
    ( ( e2 = op(e1,e3)
      & e3 != unit )
    | e3 != op(e1,e2)
    | ~ sP71 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).

fof(f82,plain,
    ( e3 != op(e1,e1)
    | ( e1 = op(e1,e3)
      & e3 != unit )
    | ~ sP72 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).

fof(f83,plain,
    ( ( e3 != unit
      & e4 = op(e0,e3) )
    | e3 != op(e0,e4)
    | ~ sP73 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).

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

fof(f85,plain,
    ( e3 != op(e0,e3)
    | ( e3 = op(e0,e3)
      & e3 != unit )
    | ~ sP75 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).

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

fof(f87,plain,
    ( ( e2 = op(e2,e3)
      & e3 != unit )
    | e3 != op(e2,e2)
    | ~ sP77 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).

fof(f88,plain,
    ( ( e0 = op(e0,e3)
      & e3 != unit )
    | op(e0,e0) != e3
    | ~ sP78 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).

fof(f89,plain,
    ( e3 != op(e4,e2)
    | ( e3 != unit
      & e2 = op(e4,e3) )
    | ~ sP79 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).

fof(f91,plain,
    ( ( e3 != unit
      & e1 = op(e4,e3) )
    | e3 != op(e4,e1)
    | ~ sP81 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).

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

fof(f93,plain,
    ( ( e2 = op(e0,e3)
      & e3 != unit )
    | e3 != op(e0,e2)
    | ~ sP83 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).

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

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

fof(f96,plain,
    ( e0 != op(e3,e1)
    | ( e0 != unit
      & e1 = op(e3,e0) )
    | ~ sP86 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).

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

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

fof(f99,plain,
    ( e0 != op(e2,e3)
    | ( e3 = op(e2,e0)
      & e0 != unit )
    | ~ sP89 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).

fof(f100,plain,
    ( ( e1 = op(e4,e0)
      & e0 != unit )
    | e0 != op(e4,e1)
    | ~ sP90 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).

fof(f101,plain,
    ( e0 != op(e1,e2)
    | ( e2 = op(e1,e0)
      & e0 != unit )
    | ~ sP91 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).

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

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

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

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

fof(f106,plain,
    ( e0 != op(e4,e2)
    | ( e0 != unit
      & e2 = op(e4,e0) )
    | ~ sP96 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).

fof(f107,plain,
    ( ( e4 = op(e1,e0)
      & e0 != unit )
    | e0 != op(e1,e4)
    | ~ sP97 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).

fof(f108,plain,
    ( e0 != op(e0,e1)
    | ( op(e0,e0) = e1
      & e0 != unit )
    | ~ sP98 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).

fof(f109,plain,
    ( e0 != op(e4,e3)
    | ( e3 = op(e4,e0)
      & e0 != unit )
    | ~ sP99 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).

fof(f110,plain,
    ( ( op(e0,e0) = e4
      & e0 != unit )
    | e0 != op(e0,e4)
    | ~ sP100 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).

fof(f111,plain,
    ( e0 != op(e1,e3)
    | ( e3 = op(e1,e0)
      & e0 != unit )
    | ~ sP101 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).

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

fof(f113,plain,
    ( e0 != op(e1,e0)
    | ( e0 = op(e1,e0)
      & e0 != unit )
    | ~ sP103 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).

fof(f114,plain,
    ( e0 != op(e3,e2)
    | ( e2 = op(e3,e0)
      & e0 != unit )
    | ~ sP104 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).

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

fof(f116,plain,
    ( e0 != op(e2,e2)
    | ( e0 != unit
      & e2 = op(e2,e0) )
    | ~ sP106 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).

fof(f118,plain,
    ( ( e0 != unit
      & e1 = op(e2,e0) )
    | e0 != op(e2,e1)
    | ~ sP108 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).

fof(f119,plain,
    ( e0 != op(e0,e2)
    | ( e0 != unit
      & op(e0,e0) = e2 )
    | ~ sP109 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).

fof(f120,plain,
    ( e2 != op(e3,e1)
    | ( e2 != unit
      & e1 = op(e3,e2) )
    | ~ sP110 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).

fof(f121,plain,
    ( e2 != op(e3,e0)
    | ( e2 != unit
      & e0 = op(e3,e2) )
    | ~ sP111 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).

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

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

fof(f124,plain,
    ( e2 != op(e1,e4)
    | ( e4 = op(e1,e2)
      & e2 != unit )
    | ~ sP114 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).

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

fof(f126,plain,
    ( ( e2 = op(e0,e2)
      & e2 != unit )
    | e2 != op(e0,e2)
    | ~ sP116 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).

fof(f127,plain,
    ( e2 != op(e0,e1)
    | ( e1 = op(e0,e2)
      & e2 != unit )
    | ~ sP117 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).

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

fof(f129,plain,
    ( ( e2 != unit
      & e4 = op(e0,e2) )
    | e2 != op(e0,e4)
    | ~ sP119 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).

fof(f130,plain,
    ( ( e2 = op(e4,e2)
      & e2 != unit )
    | e2 != op(e4,e2)
    | ~ sP120 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).

fof(f131,plain,
    ( e2 != op(e4,e3)
    | ( e3 = op(e4,e2)
      & e2 != unit )
    | ~ sP121 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).

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

fof(f133,plain,
    ( ( e0 = op(e1,e2)
      & e2 != unit )
    | e2 != op(e1,e0)
    | ~ sP123 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).

fof(f134,plain,
    ( e2 != op(e3,e3)
    | ( e3 = op(e3,e2)
      & e2 != unit )
    | ~ sP124 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).

fof(f135,plain,
    ( ( e4 = op(e3,e2)
      & e2 != unit )
    | e2 != op(e3,e4)
    | ~ sP125 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).

fof(f136,plain,
    ( e2 != op(e4,e0)
    | ( e0 = op(e4,e2)
      & e2 != unit )
    | ~ sP126 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).

fof(f137,plain,
    ( ( e3 = op(e1,e2)
      & e2 != unit )
    | e2 != op(e1,e3)
    | ~ sP127 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).

fof(f138,plain,
    ( e2 != op(e4,e4)
    | ( e2 != unit
      & e4 = op(e4,e2) )
    | ~ sP128 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).

fof(f139,plain,
    ( ( e2 != unit
      & e1 = op(e4,e2) )
    | e2 != op(e4,e1)
    | ~ sP129 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).

fof(f140,plain,
    ( e2 != op(e0,e3)
    | ( e3 = op(e0,e2)
      & e2 != unit )
    | ~ sP130 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).

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

fof(f142,plain,
    ( e2 != op(e3,e2)
    | ( e2 != unit
      & e2 = op(e3,e2) )
    | ~ sP132 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).

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

fof(f145,plain,
    ( ( sP34
      & sP33
      & sP32
      & sP31
      & sP30
      & sP29
      & sP28
      & sP27
      & sP26
      & sP25
      & sP24
      & sP23
      & sP22
      & sP21
      & sP20
      & sP19
      & sP18
      & sP17
      & sP16
      & sP15
      & sP14
      & sP13
      & sP12
      & sP11
      & sP10 )
    | ~ sP135 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).

fof(f146,plain,
    ( ( sP59
      & sP58
      & sP57
      & sP56
      & sP55
      & sP54
      & sP53
      & sP52
      & sP51
      & sP50
      & sP49
      & sP48
      & sP47
      & sP46
      & sP45
      & sP44
      & sP43
      & sP42
      & sP41
      & sP40
      & sP39
      & sP38
      & sP37
      & sP36
      & sP35 )
    | ~ sP136 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).

fof(f148,plain,
    ( ( sP109
      & sP108
      & sP107
      & sP106
      & sP105
      & sP104
      & sP103
      & sP102
      & sP101
      & sP100
      & sP99
      & sP98
      & sP97
      & sP96
      & sP95
      & sP94
      & sP93
      & sP92
      & sP91
      & sP90
      & sP89
      & sP88
      & sP87
      & sP86
      & sP85 )
    | ~ sP138 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).

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

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

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

fof(f2369,plain,
    ( spl140_73
    | ~ spl140_200
    | ~ spl140_293 ),
    inference(avatar_split_clause,[],[f566,f2366,f1834,f1244]) ).

fof(f566,plain,
    ( ~ sP134
    | e2 != op(e2,e3)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( e2 != op(e2,e3)
    | ( e2 != unit
      & e3 = op(e2,e2) )
    | ~ sP134 ),
    inference(nnf_transformation,[],[f144]) ).

fof(f2313,plain,
    ( spl140_96
    | ~ spl140_14 ),
    inference(avatar_split_clause,[],[f518,f986,f1350]) ).

fof(f1350,plain,
    ( spl140_96
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_96])]) ).

fof(f518,plain,
    ( ~ sP136
    | sP37 ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ( ( sP59
      & sP58
      & sP57
      & sP56
      & sP55
      & sP54
      & sP53
      & sP52
      & sP51
      & sP50
      & sP49
      & sP48
      & sP47
      & sP46
      & sP45
      & sP44
      & sP43
      & sP42
      & sP41
      & sP40
      & sP39
      & sP38
      & sP37
      & sP36
      & sP35 )
    | ~ sP136 ),
    inference(nnf_transformation,[],[f146]) ).

fof(f2288,plain,
    ( ~ spl140_178
    | ~ spl140_54
    | spl140_135 ),
    inference(avatar_split_clause,[],[f590,f1527,f1161,f1727]) ).

fof(f1161,plain,
    ( spl140_54
  <=> sP122 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_54])]) ).

fof(f590,plain,
    ( e1 = op(e2,e2)
    | ~ sP122
    | e2 != op(e2,e1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ( e2 != op(e2,e1)
    | ( e2 != unit
      & e1 = op(e2,e2) )
    | ~ sP122 ),
    inference(nnf_transformation,[],[f132]) ).

fof(f2245,plain,
    ( ~ spl140_187
    | ~ spl140_61
    | ~ spl140_170 ),
    inference(avatar_split_clause,[],[f759,f1689,f1191,f1770]) ).

fof(f1770,plain,
    ( spl140_187
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_187])]) ).

fof(f759,plain,
    ( e1 != op(e3,e4)
    | e1 != unit
    | ~ sP38 ),
    inference(cnf_transformation,[],[f252]) ).

fof(f252,plain,
    ( ( e1 != unit
      & e4 = op(e3,e1) )
    | e1 != op(e3,e4)
    | ~ sP38 ),
    inference(nnf_transformation,[],[f48]) ).

fof(f2179,plain,
    ( spl140_228
    | ~ spl140_36 ),
    inference(avatar_split_clause,[],[f547,f1081,f1977]) ).

fof(f547,plain,
    ( ~ sP135
    | sP16 ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ( sP34
      & sP33
      & sP32
      & sP31
      & sP30
      & sP29
      & sP28
      & sP27
      & sP26
      & sP25
      & sP24
      & sP23
      & sP22
      & sP21
      & sP20
      & sP19
      & sP18
      & sP17
      & sP16
      & sP15
      & sP14
      & sP13
      & sP12
      & sP11
      & sP10 )
    | ~ sP135 ),
    inference(nnf_transformation,[],[f145]) ).

fof(f2008,plain,
    ( ~ spl140_14
    | spl140_187 ),
    inference(avatar_split_clause,[],[f519,f1770,f986]) ).

fof(f519,plain,
    ( sP38
    | ~ sP136 ),
    inference(cnf_transformation,[],[f154]) ).

fof(f1553,plain,
    ( spl140_140
    | ~ spl140_14 ),
    inference(avatar_split_clause,[],[f537,f986,f1550]) ).

fof(f537,plain,
    ( ~ sP136
    | sP56 ),
    inference(cnf_transformation,[],[f154]) ).

fof(f1538,plain,
    ( spl140_62
    | spl140_135
    | spl140_136
    | spl140_94
    | spl140_137 ),
    inference(avatar_split_clause,[],[f883,f1535,f1342,f1531,f1527,f1195]) ).

fof(f1342,plain,
    ( spl140_94
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl140_94])]) ).

fof(f883,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e2,e4)
    | e1 = op(e2,e1)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1493,plain,
    ( spl140_127
    | ~ spl140_108 ),
    inference(avatar_split_clause,[],[f488,f1404,f1490]) ).

fof(f488,plain,
    ( ~ sP138
    | sP107 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( ( sP109
      & sP108
      & sP107
      & sP106
      & sP105
      & sP104
      & sP103
      & sP102
      & sP101
      & sP100
      & sP99
      & sP98
      & sP97
      & sP96
      & sP95
      & sP94
      & sP93
      & sP92
      & sP91
      & sP90
      & sP89
      & sP88
      & sP87
      & sP86
      & sP85 )
    | ~ sP138 ),
    inference(nnf_transformation,[],[f148]) ).

fof(f1353,plain,
    ( ~ spl140_94
    | spl140_95
    | ~ spl140_96 ),
    inference(avatar_split_clause,[],[f761,f1350,f1346,f1342]) ).

fof(f761,plain,
    ( ~ sP37
    | e4 = op(e2,e1)
    | e1 != op(e2,e4) ),
    inference(cnf_transformation,[],[f253]) ).

fof(f253,plain,
    ( e1 != op(e2,e4)
    | ( e4 = op(e2,e1)
      & e1 != unit )
    | ~ sP37 ),
    inference(nnf_transformation,[],[f47]) ).

fof(f1164,plain,
    ( ~ spl140_8
    | spl140_54 ),
    inference(avatar_split_clause,[],[f453,f1161,f958]) ).

fof(f453,plain,
    ( sP122
    | ~ sP139 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f984,plain,
    ( spl140_13
    | ~ spl140_8 ),
    inference(avatar_split_clause,[],[f464,f958,f981]) ).

fof(f464,plain,
    ( ~ sP139
    | sP133 ),
    inference(cnf_transformation,[],[f151]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ALG055+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 15:03:32 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.52  % (21042)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (21038)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (21050)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (21061)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55  % (21053)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.55  % (21051)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (21058)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.56  % (21048)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (21063)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56  % (21045)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56  % (21067)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.56  % (21041)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (21039)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (21043)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.57  % (21059)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.57  % (21040)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.57  % (21046)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57  % (21066)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.57  % (21045)Instruction limit reached!
% 0.20/0.57  % (21045)------------------------------
% 0.20/0.57  % (21045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (21045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (21045)Termination reason: Unknown
% 0.20/0.57  % (21045)Termination phase: Clausification
% 0.20/0.57  
% 0.20/0.57  % (21045)Memory used [KB]: 1279
% 0.20/0.57  % (21045)Time elapsed: 0.007 s
% 0.20/0.57  % (21045)Instructions burned: 7 (million)
% 0.20/0.57  % (21045)------------------------------
% 0.20/0.57  % (21045)------------------------------
% 0.20/0.57  % (21052)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.57  % (21049)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57  % (21064)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.58  % (21054)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.70/0.58  % (21060)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.70/0.58  % (21057)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.70/0.58  % (21062)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.70/0.58  % (21042)Instruction limit reached!
% 1.70/0.58  % (21042)------------------------------
% 1.70/0.58  % (21042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58  % (21042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58  % (21042)Termination reason: Unknown
% 1.70/0.58  % (21042)Termination phase: Saturation
% 1.70/0.58  
% 1.70/0.58  % (21042)Memory used [KB]: 6908
% 1.70/0.58  % (21042)Time elapsed: 0.027 s
% 1.70/0.58  % (21042)Instructions burned: 51 (million)
% 1.70/0.58  % (21042)------------------------------
% 1.70/0.58  % (21042)------------------------------
% 1.70/0.58  % (21056)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.70/0.58  % (21044)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.70/0.59  % (21047)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.70/0.59  % (21046)Instruction limit reached!
% 1.70/0.59  % (21046)------------------------------
% 1.70/0.59  % (21046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59  % (21046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59  % (21046)Termination reason: Unknown
% 1.70/0.59  % (21046)Termination phase: shuffling
% 1.70/0.59  
% 1.70/0.59  % (21046)Memory used [KB]: 1023
% 1.70/0.59  % (21046)Time elapsed: 0.003 s
% 1.70/0.59  % (21046)Instructions burned: 3 (million)
% 1.70/0.59  % (21046)------------------------------
% 1.70/0.59  % (21046)------------------------------
% 1.70/0.59  % (21065)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.70/0.60  % (21055)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.89/0.62  % (21040)Instruction limit reached!
% 1.89/0.62  % (21040)------------------------------
% 1.89/0.62  % (21040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62  % (21040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62  % (21040)Termination reason: Unknown
% 1.89/0.62  % (21040)Termination phase: Saturation
% 1.89/0.62  
% 1.89/0.62  % (21040)Memory used [KB]: 1535
% 1.89/0.62  % (21040)Time elapsed: 0.025 s
% 1.89/0.62  % (21040)Instructions burned: 38 (million)
% 1.89/0.62  % (21040)------------------------------
% 1.89/0.62  % (21040)------------------------------
% 1.89/0.62  % (21041)Instruction limit reached!
% 1.89/0.62  % (21041)------------------------------
% 1.89/0.62  % (21041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62  % (21041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62  % (21041)Termination reason: Unknown
% 1.89/0.62  % (21041)Termination phase: Saturation
% 1.89/0.62  
% 1.89/0.62  % (21041)Memory used [KB]: 7036
% 1.89/0.62  % (21041)Time elapsed: 0.024 s
% 1.89/0.62  % (21041)Instructions burned: 52 (million)
% 1.89/0.62  % (21041)------------------------------
% 1.89/0.62  % (21041)------------------------------
% 1.89/0.63  % (21039)Instruction limit reached!
% 1.89/0.63  % (21039)------------------------------
% 1.89/0.63  % (21039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63  % (21039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63  % (21039)Termination reason: Unknown
% 1.89/0.63  % (21039)Termination phase: Saturation
% 1.89/0.63  
% 1.89/0.63  % (21039)Memory used [KB]: 7164
% 1.89/0.63  % (21039)Time elapsed: 0.031 s
% 1.89/0.63  % (21039)Instructions burned: 50 (million)
% 1.89/0.63  % (21039)------------------------------
% 1.89/0.63  % (21039)------------------------------
% 1.89/0.64  TRYING [5]
% 1.89/0.64  % (21048)Instruction limit reached!
% 1.89/0.64  % (21048)------------------------------
% 1.89/0.64  % (21048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.64  % (21048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.64  % (21048)Termination reason: Unknown
% 1.89/0.64  % (21048)Termination phase: Saturation
% 1.89/0.64  
% 1.89/0.64  % (21048)Memory used [KB]: 7291
% 1.89/0.64  % (21048)Time elapsed: 0.028 s
% 1.89/0.64  % (21048)Instructions burned: 50 (million)
% 1.89/0.64  % (21048)------------------------------
% 1.89/0.64  % (21048)------------------------------
% 1.89/0.65  % (21043)Instruction limit reached!
% 1.89/0.65  % (21043)------------------------------
% 1.89/0.65  % (21043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.65  % (21043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.65  % (21043)Termination reason: Unknown
% 1.89/0.65  % (21043)Termination phase: Saturation
% 1.89/0.65  
% 1.89/0.65  % (21043)Memory used [KB]: 7036
% 1.89/0.65  % (21043)Time elapsed: 0.214 s
% 1.89/0.65  % (21043)Instructions burned: 48 (million)
% 1.89/0.65  % (21043)------------------------------
% 1.89/0.65  % (21043)------------------------------
% 2.21/0.67  % (21047)Instruction limit reached!
% 2.21/0.67  % (21047)------------------------------
% 2.21/0.67  % (21047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.67  % (21044)Instruction limit reached!
% 2.21/0.67  % (21044)------------------------------
% 2.21/0.67  % (21044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.67  % (21044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.67  % (21044)Termination reason: Unknown
% 2.21/0.67  % (21044)Termination phase: Finite model building preprocessing
% 2.21/0.67  
% 2.21/0.67  % (21044)Memory used [KB]: 2686
% 2.21/0.67  % (21044)Time elapsed: 0.034 s
% 2.21/0.67  % (21044)Instructions burned: 52 (million)
% 2.21/0.67  % (21044)------------------------------
% 2.21/0.67  % (21044)------------------------------
% 2.21/0.68  % (21050)Instruction limit reached!
% 2.21/0.68  % (21050)------------------------------
% 2.21/0.68  % (21050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.68  % (21050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.68  % (21050)Termination reason: Unknown
% 2.21/0.68  % (21050)Termination phase: Saturation
% 2.21/0.68  
% 2.21/0.68  % (21050)Memory used [KB]: 7675
% 2.21/0.68  % (21050)Time elapsed: 0.251 s
% 2.21/0.68  % (21050)Instructions burned: 102 (million)
% 2.21/0.68  % (21050)------------------------------
% 2.21/0.68  % (21050)------------------------------
% 2.21/0.68  % (21064)Instruction limit reached!
% 2.21/0.68  % (21064)------------------------------
% 2.21/0.68  % (21064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.68  % (21064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.68  % (21064)Termination reason: Unknown
% 2.21/0.68  % (21064)Termination phase: Saturation
% 2.21/0.68  
% 2.21/0.68  % (21064)Memory used [KB]: 7164
% 2.21/0.68  % (21064)Time elapsed: 0.041 s
% 2.21/0.68  % (21064)Instructions burned: 69 (million)
% 2.21/0.68  % (21064)------------------------------
% 2.21/0.68  % (21064)------------------------------
% 2.21/0.68  % (21047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.68  % (21047)Termination reason: Unknown
% 2.21/0.68  % (21047)Termination phase: Saturation
% 2.21/0.68  
% 2.21/0.68  % (21047)Memory used [KB]: 1791
% 2.21/0.68  % (21047)Time elapsed: 0.232 s
% 2.21/0.68  % (21047)Instructions burned: 52 (million)
% 2.21/0.68  % (21047)------------------------------
% 2.21/0.68  % (21047)------------------------------
% 2.21/0.69  % (21053)Instruction limit reached!
% 2.21/0.69  % (21053)------------------------------
% 2.21/0.69  % (21053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.69  % (21053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.69  % (21053)Termination reason: Unknown
% 2.21/0.69  % (21053)Termination phase: Saturation
% 2.21/0.69  
% 2.21/0.69  % (21053)Memory used [KB]: 1791
% 2.21/0.69  % (21053)Time elapsed: 0.047 s
% 2.21/0.69  % (21053)Instructions burned: 76 (million)
% 2.21/0.69  % (21053)------------------------------
% 2.21/0.69  % (21053)------------------------------
% 2.21/0.69  % (21052)Instruction limit reached!
% 2.21/0.69  % (21052)------------------------------
% 2.21/0.69  % (21052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.69  % (21052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.69  % (21052)Termination reason: Unknown
% 2.21/0.69  % (21052)Termination phase: Saturation
% 2.21/0.69  
% 2.21/0.69  % (21052)Memory used [KB]: 7164
% 2.21/0.69  % (21052)Time elapsed: 0.056 s
% 2.21/0.69  % (21052)Instructions burned: 69 (million)
% 2.21/0.69  % (21052)------------------------------
% 2.21/0.69  % (21052)------------------------------
% 2.21/0.70  % (21055)Instruction limit reached!
% 2.21/0.70  % (21055)------------------------------
% 2.21/0.70  % (21055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.70  % (21055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.70  % (21055)Termination reason: Unknown
% 2.21/0.70  % (21055)Termination phase: Finite model building preprocessing
% 2.21/0.70  
% 2.21/0.70  % (21055)Memory used [KB]: 2814
% 2.21/0.70  % (21055)Time elapsed: 0.048 s
% 2.21/0.70  % (21055)Instructions burned: 59 (million)
% 2.21/0.70  % (21055)------------------------------
% 2.21/0.70  % (21055)------------------------------
% 2.21/0.71  % (21059)First to succeed.
% 2.21/0.71  % (21051)Instruction limit reached!
% 2.21/0.71  % (21051)------------------------------
% 2.21/0.71  % (21051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.71  % (21051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.71  % (21051)Termination reason: Unknown
% 2.21/0.71  % (21051)Termination phase: Saturation
% 2.21/0.71  
% 2.21/0.71  % (21051)Memory used [KB]: 7675
% 2.21/0.71  % (21051)Time elapsed: 0.300 s
% 2.21/0.71  % (21051)Instructions burned: 99 (million)
% 2.21/0.71  % (21051)------------------------------
% 2.21/0.71  % (21051)------------------------------
% 2.21/0.72  % (21072)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.21/0.73  % (21054)Instruction limit reached!
% 2.21/0.73  % (21054)------------------------------
% 2.21/0.73  % (21054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.73  % (21054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.73  % (21054)Termination reason: Unknown
% 2.21/0.73  % (21054)Termination phase: Saturation
% 2.21/0.73  
% 2.21/0.73  % (21054)Memory used [KB]: 7291
% 2.21/0.73  % (21054)Time elapsed: 0.306 s
% 2.21/0.73  % (21054)Instructions burned: 99 (million)
% 2.21/0.73  % (21054)------------------------------
% 2.21/0.73  % (21054)------------------------------
% 2.21/0.73  % (21073)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.21/0.73  % (21059)Refutation found. Thanks to Tanya!
% 2.21/0.73  % SZS status Theorem for theBenchmark
% 2.21/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.74  % (21059)------------------------------
% 2.21/0.74  % (21059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.74  % (21059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.74  % (21059)Termination reason: Refutation
% 2.21/0.74  
% 2.21/0.74  % (21059)Memory used [KB]: 7931
% 2.21/0.74  % (21059)Time elapsed: 0.045 s
% 2.21/0.74  % (21059)Instructions burned: 70 (million)
% 2.21/0.74  % (21059)------------------------------
% 2.21/0.74  % (21059)------------------------------
% 2.21/0.74  % (21037)Success in time 0.375 s
%------------------------------------------------------------------------------