TSTP Solution File: GRP337-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP337-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 May  1 02:28:35 EDT 2024

% Result   : Unsatisfiable 0.80s 0.81s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   77
% Syntax   : Number of formulae    :  231 (  10 unt;   0 def)
%            Number of atoms       :  624 ( 259 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  720 ( 327   ~; 352   |;   0   &)
%                                         (  41 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   45 (  43 usr;  42 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1433,plain,
    $false,
    inference(avatar_sat_refutation,[],[f53,f58,f63,f84,f85,f86,f94,f95,f96,f103,f104,f105,f106,f113,f114,f115,f116,f123,f124,f125,f126,f133,f138,f159,f163,f183,f188,f232,f242,f269,f272,f294,f300,f348,f353,f429,f447,f486,f491,f503,f526,f532,f542,f544,f583,f698,f725,f730,f734,f764,f816,f836,f1340,f1343,f1344,f1378,f1380,f1404,f1419,f1423,f1426,f1429,f1430]) ).

fof(f1430,plain,
    ( sk_c8 != sk_c6
    | identity != sk_c7
    | identity != multiply(sk_c6,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1429,plain,
    ( sk_c8 != sk_c6
    | sk_c8 != multiply(sk_c7,sk_c6)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1426,plain,
    ( sk_c8 != multiply(sk_c7,sk_c6)
    | sk_c8 != sk_c6
    | ~ sP1(sk_c6)
    | sP1(multiply(sk_c7,sk_c8)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1423,plain,
    ( sk_c8 != sk_c6
    | sk_c6 != inverse(sk_c8)
    | identity != multiply(sk_c6,sk_c8)
    | identity != sk_c7
    | sk_c7 = multiply(sk_c8,inverse(sk_c8)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1419,plain,
    ( ~ spl2_62
    | ~ spl2_32
    | ~ spl2_20
    | ~ spl2_30
    | ~ spl2_126 ),
    inference(avatar_split_clause,[],[f1411,f1368,f239,f157,f254,f539]) ).

fof(f539,plain,
    ( spl2_62
  <=> sk_c8 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_62])]) ).

fof(f254,plain,
    ( spl2_32
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f157,plain,
    ( spl2_20
  <=> ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f239,plain,
    ( spl2_30
  <=> sk_c8 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).

fof(f1368,plain,
    ( spl2_126
  <=> identity = multiply(sk_c8,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_126])]) ).

fof(f1411,plain,
    ( identity != sk_c7
    | sk_c8 != inverse(sk_c8)
    | ~ spl2_20
    | ~ spl2_30
    | ~ spl2_126 ),
    inference(superposition,[],[f1406,f1370]) ).

fof(f1370,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl2_126 ),
    inference(avatar_component_clause,[],[f1368]) ).

fof(f1406,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(X7,sk_c8)
        | sk_c8 != inverse(X7) )
    | ~ spl2_20
    | ~ spl2_30 ),
    inference(forward_demodulation,[],[f1405,f240]) ).

fof(f240,plain,
    ( sk_c8 = sk_c6
    | ~ spl2_30 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f1405,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c6) )
    | ~ spl2_20
    | ~ spl2_30 ),
    inference(forward_demodulation,[],[f158,f240]) ).

fof(f158,plain,
    ( ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c6) )
    | ~ spl2_20 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f1404,plain,
    ( ~ spl2_128
    | ~ spl2_32
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f1394,f147,f254,f1401]) ).

fof(f1401,plain,
    ( spl2_128
  <=> sk_c7 = multiply(sk_c8,inverse(sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_128])]) ).

fof(f147,plain,
    ( spl2_17
  <=> ! [X4] :
        ( sk_c7 != multiply(inverse(X4),sk_c8)
        | sk_c7 != multiply(X4,inverse(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f1394,plain,
    ( identity != sk_c7
    | sk_c7 != multiply(sk_c8,inverse(sk_c8))
    | ~ spl2_17 ),
    inference(superposition,[],[f148,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',left_inverse) ).

fof(f148,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(inverse(X4),sk_c8)
        | sk_c7 != multiply(X4,inverse(X4)) )
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f1380,plain,
    ( spl2_62
    | ~ spl2_5
    | ~ spl2_30 ),
    inference(avatar_split_clause,[],[f1379,f239,f65,f539]) ).

fof(f65,plain,
    ( spl2_5
  <=> sk_c6 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f1379,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl2_5
    | ~ spl2_30 ),
    inference(forward_demodulation,[],[f67,f240]) ).

fof(f67,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f1378,plain,
    ( spl2_126
    | ~ spl2_23
    | ~ spl2_30 ),
    inference(avatar_split_clause,[],[f1377,f239,f180,f1368]) ).

fof(f180,plain,
    ( spl2_23
  <=> identity = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f1377,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl2_23
    | ~ spl2_30 ),
    inference(forward_demodulation,[],[f182,f240]) ).

fof(f182,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl2_23 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f1344,plain,
    ( spl2_32
    | ~ spl2_29 ),
    inference(avatar_split_clause,[],[f1321,f229,f254]) ).

fof(f229,plain,
    ( spl2_29
  <=> sk_c8 = multiply(sk_c8,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).

fof(f1321,plain,
    ( identity = sk_c7
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f1309,f2]) ).

fof(f1309,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl2_29 ),
    inference(superposition,[],[f222,f231]) ).

fof(f231,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl2_29 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f222,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f210,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',left_identity) ).

fof(f210,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',associativity) ).

fof(f1343,plain,
    ( identity != sk_c7
    | sk_c1 != multiply(sk_c6,identity)
    | sk_c8 != multiply(sk_c8,sk_c7)
    | sk_c8 != inverse(sk_c1)
    | sk_c8 != sk_c6
    | sk_c6 = inverse(sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1340,plain,
    ( sk_c8 != sk_c6
    | identity != sk_c7
    | multiply(sk_c6,sk_c1) != multiply(sk_c7,identity)
    | identity != multiply(sk_c8,sk_c1)
    | identity = multiply(sk_c7,sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f836,plain,
    ( spl2_29
    | ~ spl2_26
    | ~ spl2_92 ),
    inference(avatar_split_clause,[],[f834,f813,f195,f229]) ).

fof(f195,plain,
    ( spl2_26
  <=> identity = multiply(sk_c8,sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f813,plain,
    ( spl2_92
  <=> sk_c7 = multiply(sk_c1,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_92])]) ).

fof(f834,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl2_26
    | ~ spl2_92 ),
    inference(superposition,[],[f354,f815]) ).

fof(f815,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl2_92 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f354,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl2_26 ),
    inference(forward_demodulation,[],[f343,f1]) ).

fof(f343,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl2_26 ),
    inference(superposition,[],[f3,f197]) ).

fof(f197,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f816,plain,
    ( spl2_92
    | ~ spl2_30
    | ~ spl2_58 ),
    inference(avatar_split_clause,[],[f756,f500,f239,f813]) ).

fof(f500,plain,
    ( spl2_58
  <=> sk_c7 = multiply(sk_c1,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_58])]) ).

fof(f756,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl2_30
    | ~ spl2_58 ),
    inference(backward_demodulation,[],[f502,f240]) ).

fof(f502,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl2_58 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f764,plain,
    ( spl2_81
    | ~ spl2_1
    | ~ spl2_30 ),
    inference(avatar_split_clause,[],[f741,f239,f46,f722]) ).

fof(f722,plain,
    ( spl2_81
  <=> sk_c8 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_81])]) ).

fof(f46,plain,
    ( spl2_1
  <=> multiply(sk_c7,sk_c8) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f741,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl2_1
    | ~ spl2_30 ),
    inference(backward_demodulation,[],[f48,f240]) ).

fof(f48,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f734,plain,
    ( sk_c8 != multiply(sk_c7,sk_c8)
    | multiply(sk_c7,sk_c8) != sk_c6
    | sk_c6 != multiply(sk_c7,sk_c6)
    | sk_c8 = multiply(sk_c7,sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f730,plain,
    ( sk_c8 != multiply(sk_c7,sk_c8)
    | multiply(sk_c7,sk_c8) != sk_c6
    | sk_c8 = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f725,plain,
    ( spl2_81
    | ~ spl2_9
    | ~ spl2_58
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f720,f695,f500,f90,f722]) ).

fof(f90,plain,
    ( spl2_9
  <=> sk_c8 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f695,plain,
    ( spl2_78
  <=> sk_c7 = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_78])]) ).

fof(f720,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl2_9
    | ~ spl2_58
    | ~ spl2_78 ),
    inference(forward_demodulation,[],[f713,f92]) ).

fof(f92,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f713,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c1,sk_c7)
    | ~ spl2_58
    | ~ spl2_78 ),
    inference(superposition,[],[f551,f697]) ).

fof(f697,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl2_78 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f551,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl2_58 ),
    inference(superposition,[],[f3,f502]) ).

fof(f698,plain,
    ( spl2_78
    | ~ spl2_1
    | ~ spl2_9
    | ~ spl2_12
    | ~ spl2_57
    | ~ spl2_58 ),
    inference(avatar_split_clause,[],[f693,f500,f488,f120,f90,f46,f695]) ).

fof(f120,plain,
    ( spl2_12
  <=> sk_c7 = multiply(sk_c3,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f488,plain,
    ( spl2_57
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_57])]) ).

fof(f693,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl2_1
    | ~ spl2_9
    | ~ spl2_12
    | ~ spl2_57
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f689,f490]) ).

fof(f490,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl2_57 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f689,plain,
    ( multiply(sk_c6,sk_c8) = multiply(sk_c3,sk_c6)
    | ~ spl2_1
    | ~ spl2_9
    | ~ spl2_12
    | ~ spl2_58 ),
    inference(superposition,[],[f671,f48]) ).

fof(f671,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl2_1
    | ~ spl2_9
    | ~ spl2_12
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f659,f211]) ).

fof(f211,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | ~ spl2_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f659,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl2_1
    | ~ spl2_9
    | ~ spl2_12
    | ~ spl2_58 ),
    inference(superposition,[],[f307,f629]) ).

fof(f629,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl2_1
    | ~ spl2_9
    | ~ spl2_58 ),
    inference(backward_demodulation,[],[f494,f551]) ).

fof(f494,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl2_1
    | ~ spl2_9 ),
    inference(superposition,[],[f305,f211]) ).

fof(f305,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl2_9 ),
    inference(superposition,[],[f3,f92]) ).

fof(f307,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl2_12 ),
    inference(superposition,[],[f3,f122]) ).

fof(f122,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f583,plain,
    ( spl2_67
    | ~ spl2_10
    | ~ spl2_50
    | ~ spl2_57 ),
    inference(avatar_split_clause,[],[f578,f488,f426,f100,f580]) ).

fof(f580,plain,
    ( spl2_67
  <=> sk_c6 = multiply(sk_c7,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_67])]) ).

fof(f100,plain,
    ( spl2_10
  <=> sk_c7 = multiply(sk_c2,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f426,plain,
    ( spl2_50
  <=> sk_c6 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).

fof(f578,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl2_10
    | ~ spl2_50
    | ~ spl2_57 ),
    inference(forward_demodulation,[],[f576,f428]) ).

fof(f428,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl2_50 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f576,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c2,sk_c7)
    | ~ spl2_10
    | ~ spl2_57 ),
    inference(superposition,[],[f218,f490]) ).

fof(f218,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | ~ spl2_10 ),
    inference(superposition,[],[f3,f102]) ).

fof(f102,plain,
    ( sk_c7 = multiply(sk_c2,sk_c3)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f544,plain,
    ( spl2_23
    | ~ spl2_1
    | ~ spl2_52
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f543,f463,f444,f46,f180]) ).

fof(f444,plain,
    ( spl2_52
  <=> sk_c7 = multiply(sk_c8,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).

fof(f463,plain,
    ( spl2_54
  <=> identity = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_54])]) ).

fof(f543,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl2_1
    | ~ spl2_52
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f450,f465]) ).

fof(f465,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl2_54 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f450,plain,
    ( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c7)
    | ~ spl2_1
    | ~ spl2_52 ),
    inference(superposition,[],[f211,f446]) ).

fof(f446,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl2_52 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f542,plain,
    ( ~ spl2_62
    | ~ spl2_19
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f454,f444,f154,f539]) ).

fof(f154,plain,
    ( spl2_19
  <=> ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f454,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl2_19
    | ~ spl2_52 ),
    inference(trivial_inequality_removal,[],[f452]) ).

fof(f452,plain,
    ( sk_c7 != sk_c7
    | sk_c8 != inverse(sk_c8)
    | ~ spl2_19
    | ~ spl2_52 ),
    inference(superposition,[],[f155,f446]) ).

fof(f155,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X6) )
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f532,plain,
    ( sk_c3 != multiply(sk_c3,sk_c7)
    | identity != multiply(sk_c6,sk_c8)
    | sk_c7 != multiply(sk_c3,sk_c8)
    | sk_c1 != multiply(sk_c6,identity)
    | sk_c8 != multiply(sk_c1,sk_c7)
    | sk_c6 != multiply(sk_c3,sk_c7)
    | sk_c8 = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f526,plain,
    ( spl2_61
    | ~ spl2_1
    | ~ spl2_12
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f521,f444,f120,f46,f523]) ).

fof(f523,plain,
    ( spl2_61
  <=> sk_c6 = multiply(sk_c3,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_61])]) ).

fof(f521,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | ~ spl2_1
    | ~ spl2_12
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f513,f48]) ).

fof(f513,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c3,sk_c7)
    | ~ spl2_12
    | ~ spl2_52 ),
    inference(superposition,[],[f307,f446]) ).

fof(f503,plain,
    ( spl2_58
    | ~ spl2_1
    | ~ spl2_9
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f498,f444,f90,f46,f500]) ).

fof(f498,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl2_1
    | ~ spl2_9
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f493,f446]) ).

fof(f493,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c1,sk_c6)
    | ~ spl2_1
    | ~ spl2_9 ),
    inference(superposition,[],[f305,f48]) ).

fof(f491,plain,
    ( spl2_57
    | ~ spl2_37
    | ~ spl2_50 ),
    inference(avatar_split_clause,[],[f479,f426,f297,f488]) ).

fof(f297,plain,
    ( spl2_37
  <=> identity = multiply(sk_c3,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).

fof(f479,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl2_37
    | ~ spl2_50 ),
    inference(superposition,[],[f374,f428]) ).

fof(f374,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | ~ spl2_37 ),
    inference(forward_demodulation,[],[f373,f1]) ).

fof(f373,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
    | ~ spl2_37 ),
    inference(superposition,[],[f3,f299]) ).

fof(f299,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl2_37 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f486,plain,
    ( spl2_56
    | ~ spl2_10
    | ~ spl2_37 ),
    inference(avatar_split_clause,[],[f477,f297,f100,f483]) ).

fof(f483,plain,
    ( spl2_56
  <=> sk_c3 = multiply(sk_c3,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_56])]) ).

fof(f477,plain,
    ( sk_c3 = multiply(sk_c3,sk_c7)
    | ~ spl2_10
    | ~ spl2_37 ),
    inference(superposition,[],[f374,f102]) ).

fof(f447,plain,
    ( spl2_52
    | ~ spl2_9
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f438,f195,f90,f444]) ).

fof(f438,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl2_9
    | ~ spl2_26 ),
    inference(superposition,[],[f354,f92]) ).

fof(f429,plain,
    ( spl2_50
    | ~ spl2_1
    | ~ spl2_10
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f424,f120,f100,f46,f426]) ).

fof(f424,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl2_1
    | ~ spl2_10
    | ~ spl2_12 ),
    inference(forward_demodulation,[],[f421,f48]) ).

fof(f421,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c2,sk_c7)
    | ~ spl2_10
    | ~ spl2_12 ),
    inference(superposition,[],[f218,f122]) ).

fof(f353,plain,
    ( spl2_42
    | ~ spl2_23
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f342,f195,f180,f350]) ).

fof(f350,plain,
    ( spl2_42
  <=> sk_c1 = multiply(sk_c6,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).

fof(f342,plain,
    ( sk_c1 = multiply(sk_c6,identity)
    | ~ spl2_23
    | ~ spl2_26 ),
    inference(superposition,[],[f224,f197]) ).

fof(f224,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f214,f1]) ).

fof(f214,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl2_23 ),
    inference(superposition,[],[f3,f182]) ).

fof(f348,plain,
    ( spl2_41
    | ~ spl2_1
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f341,f195,f46,f345]) ).

fof(f345,plain,
    ( spl2_41
  <=> multiply(sk_c6,sk_c1) = multiply(sk_c7,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).

fof(f341,plain,
    ( multiply(sk_c6,sk_c1) = multiply(sk_c7,identity)
    | ~ spl2_1
    | ~ spl2_26 ),
    inference(superposition,[],[f211,f197]) ).

fof(f300,plain,
    ( spl2_37
    | ~ spl2_11 ),
    inference(avatar_split_clause,[],[f295,f110,f297]) ).

fof(f110,plain,
    ( spl2_11
  <=> sk_c3 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f295,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl2_11 ),
    inference(superposition,[],[f2,f112]) ).

fof(f112,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f294,plain,
    ( spl2_26
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f293,f80,f195]) ).

fof(f80,plain,
    ( spl2_8
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f293,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl2_8 ),
    inference(superposition,[],[f2,f82]) ).

fof(f82,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f272,plain,
    ( ~ spl2_2
    | spl2_30
    | ~ spl2_32 ),
    inference(avatar_contradiction_clause,[],[f271]) ).

fof(f271,plain,
    ( $false
    | ~ spl2_2
    | spl2_30
    | ~ spl2_32 ),
    inference(subsumption_resolution,[],[f270,f241]) ).

fof(f241,plain,
    ( sk_c8 != sk_c6
    | spl2_30 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f270,plain,
    ( sk_c8 = sk_c6
    | ~ spl2_2
    | ~ spl2_32 ),
    inference(forward_demodulation,[],[f260,f1]) ).

fof(f260,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | ~ spl2_2
    | ~ spl2_32 ),
    inference(backward_demodulation,[],[f52,f256]) ).

fof(f256,plain,
    ( identity = sk_c7
    | ~ spl2_32 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f52,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl2_2
  <=> sk_c8 = multiply(sk_c7,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f269,plain,
    ( ~ spl2_1
    | spl2_30
    | ~ spl2_32 ),
    inference(avatar_contradiction_clause,[],[f268]) ).

fof(f268,plain,
    ( $false
    | ~ spl2_1
    | spl2_30
    | ~ spl2_32 ),
    inference(subsumption_resolution,[],[f267,f241]) ).

fof(f267,plain,
    ( sk_c8 = sk_c6
    | ~ spl2_1
    | ~ spl2_32 ),
    inference(forward_demodulation,[],[f259,f1]) ).

fof(f259,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | ~ spl2_1
    | ~ spl2_32 ),
    inference(backward_demodulation,[],[f48,f256]) ).

fof(f242,plain,
    ( ~ spl2_30
    | ~ spl2_5
    | ~ spl2_16
    | ~ spl2_29 ),
    inference(avatar_split_clause,[],[f237,f229,f144,f65,f239]) ).

fof(f144,plain,
    ( spl2_16
  <=> ! [X3] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f237,plain,
    ( sk_c8 != sk_c6
    | ~ spl2_5
    | ~ spl2_16
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f236,f67]) ).

fof(f236,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl2_16
    | ~ spl2_29 ),
    inference(trivial_inequality_removal,[],[f234]) ).

fof(f234,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c8)
    | ~ spl2_16
    | ~ spl2_29 ),
    inference(superposition,[],[f145,f231]) ).

fof(f145,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != inverse(X3) )
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f232,plain,
    ( spl2_29
    | ~ spl2_3
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f226,f185,f55,f229]) ).

fof(f55,plain,
    ( spl2_3
  <=> sk_c7 = multiply(sk_c4,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f185,plain,
    ( spl2_24
  <=> identity = multiply(sk_c8,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f226,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl2_3
    | ~ spl2_24 ),
    inference(superposition,[],[f223,f57]) ).

fof(f57,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f223,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f213,f1]) ).

fof(f213,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl2_24 ),
    inference(superposition,[],[f3,f187]) ).

fof(f187,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl2_24 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f188,plain,
    ( spl2_24
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f175,f60,f185]) ).

fof(f60,plain,
    ( spl2_4
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f175,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl2_4 ),
    inference(superposition,[],[f2,f62]) ).

fof(f62,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f183,plain,
    ( spl2_23
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f174,f65,f180]) ).

fof(f174,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl2_5 ),
    inference(superposition,[],[f2,f67]) ).

fof(f163,plain,
    ( ~ spl2_18
    | ~ spl2_2
    | spl2_14 ),
    inference(avatar_split_clause,[],[f162,f135,f50,f150]) ).

fof(f150,plain,
    ( spl2_18
  <=> sP0(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f135,plain,
    ( spl2_14
  <=> sP0(multiply(sk_c7,sk_c6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f162,plain,
    ( ~ sP0(sk_c8)
    | ~ spl2_2
    | spl2_14 ),
    inference(backward_demodulation,[],[f137,f52]) ).

fof(f137,plain,
    ( ~ sP0(multiply(sk_c7,sk_c6))
    | spl2_14 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f159,plain,
    ( spl2_15
    | spl2_16
    | spl2_17
    | spl2_18
    | spl2_19
    | ~ spl2_5
    | spl2_20 ),
    inference(avatar_split_clause,[],[f44,f157,f65,f154,f150,f147,f144,f140]) ).

fof(f140,plain,
    ( spl2_15
  <=> sP1(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f44,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c6 != inverse(X7)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c6 != inverse(sk_c8)
      | sk_c8 != inverse(X6)
      | sk_c7 != multiply(X6,sk_c8)
      | sP0(sk_c8)
      | sk_c7 != multiply(inverse(X4),sk_c8)
      | sk_c7 != multiply(X4,inverse(X4))
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3)
      | sP1(sk_c6) ),
    inference(equality_resolution,[],[f43]) ).

fof(f43,plain,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != inverse(X7)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c6 != inverse(sk_c8)
      | sk_c8 != inverse(X6)
      | sk_c7 != multiply(X6,sk_c8)
      | sP0(sk_c8)
      | sk_c7 != multiply(X5,sk_c8)
      | inverse(X4) != X5
      | sk_c7 != multiply(X4,X5)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3)
      | sP1(sk_c6) ),
    inference(inequality_splitting,[],[f40,f42,f41]) ).

fof(f41,plain,
    ~ sP0(multiply(sk_c7,sk_c6)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f42,plain,
    ~ sP1(multiply(sk_c7,sk_c8)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f40,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != inverse(X7)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c6 != inverse(sk_c8)
      | sk_c8 != inverse(X6)
      | sk_c7 != multiply(X6,sk_c8)
      | sk_c8 != multiply(sk_c7,sk_c6)
      | sk_c7 != multiply(X5,sk_c8)
      | inverse(X4) != X5
      | sk_c7 != multiply(X4,X5)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3)
      | multiply(sk_c7,sk_c8) != sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_37) ).

fof(f138,plain,
    ~ spl2_14,
    inference(avatar_split_clause,[],[f41,f135]) ).

fof(f133,plain,
    ~ spl2_13,
    inference(avatar_split_clause,[],[f42,f130]) ).

fof(f130,plain,
    ( spl2_13
  <=> sP1(multiply(sk_c7,sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f126,plain,
    ( spl2_12
    | spl2_5 ),
    inference(avatar_split_clause,[],[f37,f65,f120]) ).

fof(f37,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_34) ).

fof(f125,plain,
    ( spl2_12
    | spl2_4 ),
    inference(avatar_split_clause,[],[f36,f60,f120]) ).

fof(f36,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_33) ).

fof(f124,plain,
    ( spl2_12
    | spl2_3 ),
    inference(avatar_split_clause,[],[f35,f55,f120]) ).

fof(f35,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_32) ).

fof(f123,plain,
    ( spl2_12
    | spl2_2 ),
    inference(avatar_split_clause,[],[f34,f50,f120]) ).

fof(f34,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_31) ).

fof(f116,plain,
    ( spl2_11
    | spl2_5 ),
    inference(avatar_split_clause,[],[f31,f65,f110]) ).

fof(f31,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_28) ).

fof(f115,plain,
    ( spl2_11
    | spl2_4 ),
    inference(avatar_split_clause,[],[f30,f60,f110]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_27) ).

fof(f114,plain,
    ( spl2_11
    | spl2_3 ),
    inference(avatar_split_clause,[],[f29,f55,f110]) ).

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_26) ).

fof(f113,plain,
    ( spl2_11
    | spl2_2 ),
    inference(avatar_split_clause,[],[f28,f50,f110]) ).

fof(f28,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_25) ).

fof(f106,plain,
    ( spl2_10
    | spl2_5 ),
    inference(avatar_split_clause,[],[f25,f65,f100]) ).

fof(f25,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c7 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_22) ).

fof(f105,plain,
    ( spl2_10
    | spl2_4 ),
    inference(avatar_split_clause,[],[f24,f60,f100]) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_21) ).

fof(f104,plain,
    ( spl2_10
    | spl2_3 ),
    inference(avatar_split_clause,[],[f23,f55,f100]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_20) ).

fof(f103,plain,
    ( spl2_10
    | spl2_2 ),
    inference(avatar_split_clause,[],[f22,f50,f100]) ).

fof(f22,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_19) ).

fof(f96,plain,
    ( spl2_9
    | spl2_5 ),
    inference(avatar_split_clause,[],[f19,f65,f90]) ).

fof(f19,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_16) ).

fof(f95,plain,
    ( spl2_9
    | spl2_4 ),
    inference(avatar_split_clause,[],[f18,f60,f90]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_15) ).

fof(f94,plain,
    ( spl2_9
    | spl2_3 ),
    inference(avatar_split_clause,[],[f17,f55,f90]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_14) ).

fof(f86,plain,
    ( spl2_8
    | spl2_5 ),
    inference(avatar_split_clause,[],[f13,f65,f80]) ).

fof(f13,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_10) ).

fof(f85,plain,
    ( spl2_8
    | spl2_4 ),
    inference(avatar_split_clause,[],[f12,f60,f80]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_9) ).

fof(f84,plain,
    ( spl2_8
    | spl2_3 ),
    inference(avatar_split_clause,[],[f11,f55,f80]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_8) ).

fof(f63,plain,
    ( spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f6,f60,f46]) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_3) ).

fof(f58,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[],[f5,f55,f46]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_2) ).

fof(f53,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f4,f50,f46]) ).

fof(f4,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : GRP337-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n029.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 18:43:20 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.kYwxkbZ8Af/Vampire---4.8_17131
% 0.60/0.76  % (17383)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.76  % (17377)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76  % (17380)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.76  % (17379)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (17378)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.76  % (17381)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76  % (17382)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.76  % (17383)Refutation not found, incomplete strategy% (17383)------------------------------
% 0.60/0.76  % (17383)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (17383)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (17383)Memory used [KB]: 1068
% 0.60/0.76  % (17383)Time elapsed: 0.003 s
% 0.60/0.76  % (17383)Instructions burned: 6 (million)
% 0.60/0.76  % (17383)------------------------------
% 0.60/0.76  % (17383)------------------------------
% 0.60/0.77  % (17377)Refutation not found, incomplete strategy% (17377)------------------------------
% 0.60/0.77  % (17377)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17377)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17377)Memory used [KB]: 1001
% 0.60/0.77  % (17377)Time elapsed: 0.004 s
% 0.60/0.77  % (17380)Refutation not found, incomplete strategy% (17380)------------------------------
% 0.60/0.77  % (17380)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17377)Instructions burned: 4 (million)
% 0.60/0.77  % (17380)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  % (17377)------------------------------
% 0.60/0.77  % (17377)------------------------------
% 0.60/0.77  
% 0.60/0.77  % (17380)Memory used [KB]: 983
% 0.60/0.77  % (17380)Time elapsed: 0.003 s
% 0.60/0.77  % (17380)Instructions burned: 4 (million)
% 0.60/0.77  % (17380)------------------------------
% 0.60/0.77  % (17380)------------------------------
% 0.60/0.77  % (17381)Refutation not found, incomplete strategy% (17381)------------------------------
% 0.60/0.77  % (17381)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17381)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17381)Memory used [KB]: 1001
% 0.60/0.77  % (17381)Time elapsed: 0.004 s
% 0.60/0.77  % (17381)Instructions burned: 5 (million)
% 0.60/0.77  % (17381)------------------------------
% 0.60/0.77  % (17381)------------------------------
% 0.60/0.77  % (17379)Refutation not found, incomplete strategy% (17379)------------------------------
% 0.60/0.77  % (17379)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17379)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17379)Memory used [KB]: 1054
% 0.60/0.77  % (17379)Time elapsed: 0.004 s
% 0.60/0.77  % (17379)Instructions burned: 5 (million)
% 0.60/0.77  % (17379)------------------------------
% 0.60/0.77  % (17379)------------------------------
% 0.60/0.77  % (17382)Refutation not found, incomplete strategy% (17382)------------------------------
% 0.60/0.77  % (17382)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17382)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17382)Memory used [KB]: 989
% 0.60/0.77  % (17382)Time elapsed: 0.004 s
% 0.60/0.77  % (17382)Instructions burned: 5 (million)
% 0.60/0.77  % (17382)------------------------------
% 0.60/0.77  % (17382)------------------------------
% 0.60/0.77  % (17384)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.77  % (17384)Refutation not found, incomplete strategy% (17384)------------------------------
% 0.60/0.77  % (17384)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17384)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17384)Memory used [KB]: 986
% 0.60/0.77  % (17384)Time elapsed: 0.002 s
% 0.60/0.77  % (17384)Instructions burned: 4 (million)
% 0.60/0.77  % (17384)------------------------------
% 0.60/0.77  % (17384)------------------------------
% 0.60/0.77  % (17387)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.77  % (17385)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.77  % (17386)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.77  % (17388)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.77  % (17390)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.60/0.77  % (17389)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.60/0.77  % (17391)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.60/0.77  % (17385)Refutation not found, incomplete strategy% (17385)------------------------------
% 0.60/0.77  % (17385)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17385)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17385)Memory used [KB]: 1064
% 0.60/0.77  % (17385)Time elapsed: 0.005 s
% 0.60/0.77  % (17385)Instructions burned: 5 (million)
% 0.60/0.77  % (17385)------------------------------
% 0.60/0.77  % (17385)------------------------------
% 0.60/0.77  % (17386)Refutation not found, incomplete strategy% (17386)------------------------------
% 0.60/0.77  % (17386)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17386)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17386)Memory used [KB]: 992
% 0.60/0.77  % (17386)Time elapsed: 0.004 s
% 0.60/0.77  % (17390)Refutation not found, incomplete strategy% (17390)------------------------------
% 0.60/0.77  % (17390)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17386)Instructions burned: 6 (million)
% 0.60/0.77  % (17386)------------------------------
% 0.60/0.77  % (17386)------------------------------
% 0.60/0.77  % (17388)Refutation not found, incomplete strategy% (17388)------------------------------
% 0.60/0.77  % (17388)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17388)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17388)Memory used [KB]: 1054
% 0.60/0.77  % (17388)Time elapsed: 0.005 s
% 0.60/0.77  % (17388)Instructions burned: 5 (million)
% 0.60/0.77  % (17388)------------------------------
% 0.60/0.77  % (17388)------------------------------
% 0.60/0.77  % (17390)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17390)Memory used [KB]: 1008
% 0.60/0.77  % (17390)Time elapsed: 0.003 s
% 0.60/0.77  % (17390)Instructions burned: 4 (million)
% 0.60/0.77  % (17390)------------------------------
% 0.60/0.77  % (17390)------------------------------
% 0.60/0.77  % (17387)Refutation not found, incomplete strategy% (17387)------------------------------
% 0.60/0.77  % (17387)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17387)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17387)Memory used [KB]: 1069
% 0.60/0.77  % (17387)Time elapsed: 0.006 s
% 0.60/0.77  % (17389)Refutation not found, incomplete strategy% (17389)------------------------------
% 0.60/0.77  % (17389)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (17389)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (17389)Memory used [KB]: 1052
% 0.60/0.77  % (17389)Time elapsed: 0.004 s
% 0.60/0.77  % (17389)Instructions burned: 5 (million)
% 0.60/0.77  % (17389)------------------------------
% 0.60/0.77  % (17389)------------------------------
% 0.60/0.77  % (17387)Instructions burned: 8 (million)
% 0.60/0.77  % (17387)------------------------------
% 0.60/0.77  % (17387)------------------------------
% 0.60/0.78  % (17391)Refutation not found, incomplete strategy% (17391)------------------------------
% 0.60/0.78  % (17391)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (17391)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (17391)Memory used [KB]: 1087
% 0.60/0.78  % (17391)Time elapsed: 0.005 s
% 0.60/0.78  % (17391)Instructions burned: 12 (million)
% 0.60/0.78  % (17391)------------------------------
% 0.60/0.78  % (17391)------------------------------
% 0.60/0.78  % (17392)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.60/0.78  % (17393)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.60/0.78  % (17394)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.60/0.78  % (17395)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.60/0.78  % (17396)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.60/0.78  % (17398)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.78  % (17397)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.60/0.78  % (17392)Refutation not found, incomplete strategy% (17392)------------------------------
% 0.60/0.78  % (17392)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (17392)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (17392)Memory used [KB]: 988
% 0.60/0.78  % (17392)Time elapsed: 0.004 s
% 0.60/0.78  % (17392)Instructions burned: 4 (million)
% 0.60/0.78  % (17392)------------------------------
% 0.60/0.78  % (17392)------------------------------
% 0.60/0.78  % (17398)Refutation not found, incomplete strategy% (17398)------------------------------
% 0.60/0.78  % (17398)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (17395)Refutation not found, incomplete strategy% (17395)------------------------------
% 0.60/0.78  % (17395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (17395)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (17395)Memory used [KB]: 987
% 0.60/0.78  % (17395)Time elapsed: 0.004 s
% 0.60/0.78  % (17395)Instructions burned: 3 (million)
% 0.60/0.78  % (17395)------------------------------
% 0.60/0.78  % (17395)------------------------------
% 0.60/0.78  % (17398)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (17398)Memory used [KB]: 1004
% 0.60/0.78  % (17398)Time elapsed: 0.002 s
% 0.60/0.78  % (17398)Instructions burned: 5 (million)
% 0.60/0.78  % (17398)------------------------------
% 0.60/0.78  % (17398)------------------------------
% 0.60/0.78  % (17393)Refutation not found, incomplete strategy% (17393)------------------------------
% 0.60/0.78  % (17393)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (17393)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (17393)Memory used [KB]: 1003
% 0.60/0.78  % (17393)Time elapsed: 0.004 s
% 0.60/0.78  % (17393)Instructions burned: 4 (million)
% 0.60/0.78  % (17393)------------------------------
% 0.60/0.78  % (17393)------------------------------
% 0.60/0.78  % (17397)Refutation not found, incomplete strategy% (17397)------------------------------
% 0.60/0.78  % (17397)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (17397)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (17397)Memory used [KB]: 1054
% 0.60/0.78  % (17397)Time elapsed: 0.004 s
% 0.60/0.78  % (17400)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.60/0.78  % (17397)Instructions burned: 5 (million)
% 0.60/0.78  % (17397)------------------------------
% 0.60/0.78  % (17397)------------------------------
% 0.60/0.78  % (17400)Refutation not found, incomplete strategy% (17400)------------------------------
% 0.60/0.78  % (17400)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (17400)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (17400)Memory used [KB]: 1000
% 0.60/0.78  % (17400)Time elapsed: 0.002 s
% 0.60/0.78  % (17400)Instructions burned: 4 (million)
% 0.60/0.78  % (17400)------------------------------
% 0.60/0.78  % (17400)------------------------------
% 0.60/0.78  % (17399)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.60/0.78  % (17401)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.60/0.78  % (17402)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.60/0.79  % (17403)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.60/0.79  % (17404)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.60/0.79  % (17378)Instruction limit reached!
% 0.60/0.79  % (17378)------------------------------
% 0.60/0.79  % (17378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (17378)Termination reason: Unknown
% 0.60/0.79  % (17378)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (17378)Memory used [KB]: 1627
% 0.60/0.79  % (17378)Time elapsed: 0.030 s
% 0.60/0.79  % (17378)Instructions burned: 51 (million)
% 0.60/0.79  % (17378)------------------------------
% 0.60/0.79  % (17378)------------------------------
% 0.60/0.79  % (17396)Instruction limit reached!
% 0.60/0.79  % (17396)------------------------------
% 0.60/0.79  % (17396)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (17396)Termination reason: Unknown
% 0.60/0.79  % (17396)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (17396)Memory used [KB]: 1453
% 0.60/0.79  % (17396)Time elapsed: 0.018 s
% 0.60/0.79  % (17396)Instructions burned: 32 (million)
% 0.60/0.79  % (17396)------------------------------
% 0.60/0.79  % (17396)------------------------------
% 0.60/0.80  % (17405)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.60/0.80  % (17399)Refutation not found, incomplete strategy% (17399)------------------------------
% 0.60/0.80  % (17399)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (17399)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (17399)Memory used [KB]: 1118
% 0.60/0.80  % (17399)Time elapsed: 0.016 s
% 0.60/0.80  % (17399)Instructions burned: 28 (million)
% 0.60/0.80  % (17399)------------------------------
% 0.60/0.80  % (17399)------------------------------
% 0.60/0.80  % (17406)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.60/0.80  % (17405)Refutation not found, incomplete strategy% (17405)------------------------------
% 0.60/0.80  % (17405)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (17405)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (17405)Memory used [KB]: 981
% 0.60/0.80  % (17405)Time elapsed: 0.004 s
% 0.60/0.80  % (17405)Instructions burned: 4 (million)
% 0.60/0.80  % (17405)------------------------------
% 0.60/0.80  % (17405)------------------------------
% 0.80/0.80  % (17406)Refutation not found, incomplete strategy% (17406)------------------------------
% 0.80/0.80  % (17406)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.80  % (17406)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.80  
% 0.80/0.80  % (17406)Memory used [KB]: 1069
% 0.80/0.80  % (17406)Time elapsed: 0.004 s
% 0.80/0.80  % (17406)Instructions burned: 4 (million)
% 0.80/0.80  % (17406)------------------------------
% 0.80/0.80  % (17406)------------------------------
% 0.80/0.80  % (17402)Instruction limit reached!
% 0.80/0.80  % (17402)------------------------------
% 0.80/0.80  % (17402)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.80  % (17402)Termination reason: Unknown
% 0.80/0.80  % (17402)Termination phase: Saturation
% 0.80/0.80  
% 0.80/0.80  % (17407)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.80/0.80  % (17402)Memory used [KB]: 1147
% 0.80/0.80  % (17402)Time elapsed: 0.019 s
% 0.80/0.80  % (17402)Instructions burned: 37 (million)
% 0.80/0.80  % (17402)------------------------------
% 0.80/0.80  % (17402)------------------------------
% 0.80/0.80  % (17408)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.80/0.80  % (17409)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.80/0.81  % (17410)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.80/0.81  % (17404)First to succeed.
% 0.80/0.81  % (17407)Refutation not found, incomplete strategy% (17407)------------------------------
% 0.80/0.81  % (17407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.81  % (17407)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.81  
% 0.80/0.81  % (17407)Memory used [KB]: 1154
% 0.80/0.81  % (17407)Time elapsed: 0.008 s
% 0.80/0.81  % (17407)Instructions burned: 10 (million)
% 0.80/0.81  % (17407)------------------------------
% 0.80/0.81  % (17407)------------------------------
% 0.80/0.81  % (17404)Refutation found. Thanks to Tanya!
% 0.80/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.80/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.80/0.81  % (17404)------------------------------
% 0.80/0.81  % (17404)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.81  % (17404)Termination reason: Refutation
% 0.80/0.81  
% 0.80/0.81  % (17404)Memory used [KB]: 1519
% 0.80/0.81  % (17404)Time elapsed: 0.045 s
% 0.80/0.81  % (17404)Instructions burned: 56 (million)
% 0.80/0.81  % (17404)------------------------------
% 0.80/0.81  % (17404)------------------------------
% 0.80/0.81  % (17373)Success in time 0.423 s
% 0.80/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------