TSTP Solution File: GRP328-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP328-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 : Sun May  5 05:47:23 EDT 2024

% Result   : Unsatisfiable 0.88s 0.87s
% Output   : Refutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  105
% Syntax   : Number of formulae    :  283 (  11 unt;   0 def)
%            Number of atoms       :  777 ( 359 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  904 ( 410   ~; 445   |;   0   &)
%                                         (  49 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   53 (  51 usr;  50 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1428,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f55,f60,f65,f70,f75,f76,f77,f78,f79,f84,f85,f86,f87,f88,f95,f96,f97,f104,f105,f106,f112,f113,f114,f115,f120,f125,f140,f155,f167,f203,f209,f216,f240,f258,f268,f273,f333,f352,f478,f528,f569,f659,f669,f674,f687,f703,f725,f727,f728,f729,f730,f738,f761,f786,f956,f957,f958,f960,f979,f995,f1018,f1033,f1049,f1069,f1070,f1073,f1074,f1077,f1079,f1122,f1123,f1140,f1154,f1160,f1295,f1298,f1300,f1305,f1330,f1342,f1395,f1400,f1404,f1412,f1414,f1418,f1420,f1423]) ).

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

fof(f1420,plain,
    ( sk_c7 != sk_c8
    | sk_c8 != multiply(sk_c7,sk_c7)
    | identity != multiply(sk_c7,sk_c8)
    | sk_c8 != inverse(sk_c7)
    | sk_c8 = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1418,plain,
    ( identity != multiply(sk_c7,sk_c8)
    | sk_c7 != sk_c8
    | sk_c8 != multiply(sk_c7,sk_c7)
    | sk_c7 = multiply(sk_c8,identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1414,plain,
    ( sk_c8 != multiply(sk_c7,sk_c7)
    | sk_c7 != sk_c8
    | identity != multiply(sk_c7,sk_c8)
    | identity = multiply(sk_c8,identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1412,plain,
    ( sk_c8 != multiply(sk_c7,sk_c7)
    | identity != multiply(sk_c7,sk_c8)
    | sk_c8 != inverse(sk_c7)
    | sk_c7 != sk_c8
    | sk_c7 = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1404,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != sk_c8
    | sk_c8 != multiply(sk_c7,sk_c6)
    | sk_c7 = multiply(sk_c7,sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1400,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != sk_c8
    | sk_c8 != multiply(sk_c7,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1395,plain,
    ( spl2_41
    | ~ spl2_103 ),
    inference(avatar_contradiction_clause,[],[f1394]) ).

fof(f1394,plain,
    ( $false
    | spl2_41
    | ~ spl2_103 ),
    inference(subsumption_resolution,[],[f1393,f337]) ).

fof(f337,plain,
    ( identity != sk_c6
    | spl2_41 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f336,plain,
    ( spl2_41
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).

fof(f1393,plain,
    ( identity = sk_c6
    | ~ spl2_103 ),
    inference(forward_demodulation,[],[f1391,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',left_inverse) ).

fof(f1391,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl2_103 ),
    inference(superposition,[],[f183,f1341]) ).

fof(f1341,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl2_103 ),
    inference(avatar_component_clause,[],[f1339]) ).

fof(f1339,plain,
    ( spl2_103
  <=> sk_c7 = multiply(sk_c7,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_103])]) ).

fof(f183,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f170,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',left_identity) ).

fof(f170,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/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',associativity) ).

fof(f1342,plain,
    ( spl2_103
    | ~ spl2_2
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f1337,f200,f47,f1339]) ).

fof(f47,plain,
    ( spl2_2
  <=> sk_c8 = multiply(sk_c7,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f200,plain,
    ( spl2_23
  <=> sk_c7 = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f1337,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl2_2
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f49,f202]) ).

fof(f202,plain,
    ( sk_c7 = sk_c8
    | ~ spl2_23 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f49,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f1330,plain,
    ( ~ spl2_101
    | spl2_1
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f1325,f200,f43,f1327]) ).

fof(f1327,plain,
    ( spl2_101
  <=> sk_c6 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_101])]) ).

fof(f43,plain,
    ( spl2_1
  <=> multiply(sk_c7,sk_c8) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f1325,plain,
    ( sk_c6 != multiply(sk_c7,sk_c7)
    | spl2_1
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f44,f202]) ).

fof(f44,plain,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | spl2_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f1305,plain,
    ( ~ spl2_35
    | ~ spl2_23
    | spl2_43 ),
    inference(avatar_split_clause,[],[f1302,f347,f200,f291]) ).

fof(f291,plain,
    ( spl2_35
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).

fof(f347,plain,
    ( spl2_43
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).

fof(f1302,plain,
    ( identity != sk_c7
    | ~ spl2_23
    | spl2_43 ),
    inference(backward_demodulation,[],[f348,f202]) ).

fof(f348,plain,
    ( identity != sk_c8
    | spl2_43 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1300,plain,
    ( ~ spl2_35
    | ~ spl2_8
    | spl2_38 ),
    inference(avatar_split_clause,[],[f1299,f319,f81,f291]) ).

fof(f81,plain,
    ( spl2_8
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f319,plain,
    ( spl2_38
  <=> identity = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).

fof(f1299,plain,
    ( identity != sk_c7
    | ~ spl2_8
    | spl2_38 ),
    inference(forward_demodulation,[],[f320,f83]) ).

fof(f83,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f320,plain,
    ( identity != inverse(sk_c1)
    | spl2_38 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f1298,plain,
    ( spl2_20
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f1297,f81,f158]) ).

fof(f158,plain,
    ( spl2_20
  <=> identity = multiply(sk_c7,sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f1297,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl2_8 ),
    inference(superposition,[],[f2,f83]) ).

fof(f1295,plain,
    ( spl2_19
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f1294,f67,f151]) ).

fof(f151,plain,
    ( spl2_19
  <=> identity = multiply(sk_c8,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f67,plain,
    ( spl2_6
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f1294,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl2_6 ),
    inference(superposition,[],[f2,f69]) ).

fof(f69,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f1160,plain,
    ( identity != sk_c5
    | sk_c5 != multiply(sk_c4,sk_c8)
    | sk_c7 != multiply(sk_c4,sk_c8)
    | sk_c7 != inverse(identity)
    | identity = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1154,plain,
    ( identity != sk_c4
    | sk_c8 != inverse(sk_c4)
    | sk_c8 = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1140,plain,
    ( identity != sk_c4
    | sk_c8 != inverse(sk_c4)
    | identity != sk_c5
    | sk_c7 != sk_c8
    | sk_c7 != sk_c5
    | identity = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1123,plain,
    ( sk_c7 != sk_c8
    | sk_c6 != inverse(sk_c8)
    | identity != sk_c6
    | identity = inverse(sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1122,plain,
    ( identity != sk_c1
    | identity != sk_c6
    | identity != multiply(sk_c6,sk_c8)
    | sk_c8 != multiply(sk_c1,sk_c7)
    | sk_c7 != sk_c8
    | sk_c7 != inverse(sk_c1)
    | identity = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1079,plain,
    ( sk_c6 != inverse(sk_c8)
    | sk_c7 != inverse(sk_c8)
    | sk_c7 = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1077,plain,
    ( sk_c7 != inverse(sk_c8)
    | sk_c7 != sk_c8
    | sk_c8 = inverse(sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1074,plain,
    ( sk_c7 != sk_c8
    | sk_c7 != multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1073,plain,
    ( sk_c6 != inverse(sk_c8)
    | sk_c7 != sk_c6
    | sk_c7 != sk_c8
    | sk_c8 = inverse(sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1070,plain,
    ( sk_c6 != inverse(sk_c8)
    | multiply(sk_c7,sk_c8) != sk_c6
    | sk_c7 != multiply(sk_c7,sk_c8)
    | sk_c7 != sk_c8
    | sk_c8 = inverse(sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1069,plain,
    ( ~ spl2_15
    | ~ spl2_23
    | ~ spl2_35
    | ~ spl2_87 ),
    inference(avatar_contradiction_clause,[],[f1068]) ).

fof(f1068,plain,
    ( $false
    | ~ spl2_15
    | ~ spl2_23
    | ~ spl2_35
    | ~ spl2_87 ),
    inference(subsumption_resolution,[],[f1067,f994]) ).

fof(f994,plain,
    ( identity = inverse(identity)
    | ~ spl2_87 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f992,plain,
    ( spl2_87
  <=> identity = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_87])]) ).

fof(f1067,plain,
    ( identity != inverse(identity)
    | ~ spl2_15
    | ~ spl2_23
    | ~ spl2_35
    | ~ spl2_87 ),
    inference(forward_demodulation,[],[f1063,f994]) ).

fof(f1063,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl2_15
    | ~ spl2_23
    | ~ spl2_35 ),
    inference(trivial_inequality_removal,[],[f1062]) ).

fof(f1062,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl2_15
    | ~ spl2_23
    | ~ spl2_35 ),
    inference(superposition,[],[f1059,f2]) ).

fof(f1059,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl2_15
    | ~ spl2_23
    | ~ spl2_35 ),
    inference(forward_demodulation,[],[f1058,f293]) ).

fof(f293,plain,
    ( identity = sk_c7
    | ~ spl2_35 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f1058,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | sk_c7 != inverse(X3) )
    | ~ spl2_15
    | ~ spl2_23
    | ~ spl2_35 ),
    inference(forward_demodulation,[],[f1011,f293]) ).

fof(f1011,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl2_15
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f132,f202]) ).

fof(f132,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl2_15 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl2_15
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f1049,plain,
    ( spl2_88
    | ~ spl2_35
    | ~ spl2_71 ),
    inference(avatar_split_clause,[],[f1040,f656,f291,f1046]) ).

fof(f1046,plain,
    ( spl2_88
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_88])]) ).

fof(f656,plain,
    ( spl2_71
  <=> sk_c7 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_71])]) ).

fof(f1040,plain,
    ( identity = sk_c5
    | ~ spl2_35
    | ~ spl2_71 ),
    inference(backward_demodulation,[],[f658,f293]) ).

fof(f658,plain,
    ( sk_c7 = sk_c5
    | ~ spl2_71 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f1033,plain,
    ( spl2_35
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f1032,f982,f291]) ).

fof(f982,plain,
    ( spl2_86
  <=> identity = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_86])]) ).

fof(f1032,plain,
    ( identity = sk_c7
    | ~ spl2_86 ),
    inference(forward_demodulation,[],[f1029,f1]) ).

fof(f1029,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl2_86 ),
    inference(superposition,[],[f2,f984]) ).

fof(f984,plain,
    ( identity = inverse(sk_c7)
    | ~ spl2_86 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f1018,plain,
    ( spl2_35
    | ~ spl2_24
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f1017,f336,f213,f291]) ).

fof(f213,plain,
    ( spl2_24
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f1017,plain,
    ( identity = sk_c7
    | ~ spl2_24
    | ~ spl2_41 ),
    inference(backward_demodulation,[],[f215,f338]) ).

fof(f338,plain,
    ( identity = sk_c6
    | ~ spl2_41 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f215,plain,
    ( sk_c7 = sk_c6
    | ~ spl2_24 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f995,plain,
    ( spl2_87
    | ~ spl2_38
    | ~ spl2_40 ),
    inference(avatar_split_clause,[],[f990,f330,f319,f992]) ).

fof(f330,plain,
    ( spl2_40
  <=> identity = sk_c1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).

fof(f990,plain,
    ( identity = inverse(identity)
    | ~ spl2_38
    | ~ spl2_40 ),
    inference(forward_demodulation,[],[f321,f332]) ).

fof(f332,plain,
    ( identity = sk_c1
    | ~ spl2_40 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f321,plain,
    ( identity = inverse(sk_c1)
    | ~ spl2_38 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f979,plain,
    ( spl2_35
    | ~ spl2_7
    | ~ spl2_65
    | ~ spl2_81 ),
    inference(avatar_split_clause,[],[f945,f758,f566,f72,f291]) ).

fof(f72,plain,
    ( spl2_7
  <=> sk_c8 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f566,plain,
    ( spl2_65
  <=> identity = multiply(sk_c8,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_65])]) ).

fof(f758,plain,
    ( spl2_81
  <=> sk_c7 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_81])]) ).

fof(f945,plain,
    ( identity = sk_c7
    | ~ spl2_7
    | ~ spl2_65
    | ~ spl2_81 ),
    inference(superposition,[],[f940,f2]) ).

fof(f940,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | ~ spl2_7
    | ~ spl2_65
    | ~ spl2_81 ),
    inference(superposition,[],[f183,f781]) ).

fof(f781,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl2_7
    | ~ spl2_65
    | ~ spl2_81 ),
    inference(forward_demodulation,[],[f779,f645]) ).

fof(f645,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl2_7
    | ~ spl2_65 ),
    inference(backward_demodulation,[],[f208,f605]) ).

fof(f605,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl2_65 ),
    inference(forward_demodulation,[],[f594,f1]) ).

fof(f594,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl2_65 ),
    inference(superposition,[],[f3,f568]) ).

fof(f568,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl2_65 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f208,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl2_7 ),
    inference(superposition,[],[f3,f74]) ).

fof(f74,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f779,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl2_81 ),
    inference(superposition,[],[f3,f760]) ).

fof(f760,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl2_81 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f960,plain,
    ( identity != sk_c7
    | sk_c8 != inverse(identity)
    | multiply(sk_c7,sk_c8) != sk_c6
    | sk_c7 != sk_c8
    | sk_c7 != multiply(sk_c7,sk_c8)
    | sk_c6 = inverse(sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f958,plain,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | sk_c7 != multiply(sk_c7,sk_c8)
    | identity != sk_c7
    | identity = multiply(sk_c6,sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f957,plain,
    ( identity != sk_c7
    | sk_c7 != multiply(sk_c7,sk_c8)
    | identity = multiply(sk_c7,sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f956,plain,
    ( identity != sk_c7
    | sk_c8 != inverse(identity)
    | sk_c7 != sk_c8
    | sk_c7 = inverse(sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f786,plain,
    ( spl2_40
    | ~ spl2_7
    | ~ spl2_20
    | ~ spl2_65
    | ~ spl2_81 ),
    inference(avatar_split_clause,[],[f784,f758,f566,f158,f72,f330]) ).

fof(f784,plain,
    ( identity = sk_c1
    | ~ spl2_7
    | ~ spl2_20
    | ~ spl2_65
    | ~ spl2_81 ),
    inference(backward_demodulation,[],[f160,f781]) ).

fof(f160,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl2_20 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f761,plain,
    ( spl2_81
    | ~ spl2_7
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f751,f200,f72,f758]) ).

fof(f751,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl2_7
    | ~ spl2_23 ),
    inference(backward_demodulation,[],[f74,f202]) ).

fof(f738,plain,
    ( spl2_72
    | ~ spl2_19
    | ~ spl2_65 ),
    inference(avatar_split_clause,[],[f733,f566,f151,f661]) ).

fof(f661,plain,
    ( spl2_72
  <=> identity = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_72])]) ).

fof(f733,plain,
    ( identity = sk_c4
    | ~ spl2_19
    | ~ spl2_65 ),
    inference(forward_demodulation,[],[f153,f605]) ).

fof(f153,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f151]) ).

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

fof(f729,plain,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | sk_c7 != multiply(sk_c7,sk_c8)
    | sk_c7 != sk_c8
    | sk_c8 = multiply(sk_c7,sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f728,plain,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | sk_c7 != multiply(sk_c7,sk_c8)
    | sk_c7 != sk_c8
    | ~ sP0(multiply(sk_c7,sk_c6))
    | sP0(sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f727,plain,
    ( spl2_23
    | ~ spl2_74
    | ~ spl2_77 ),
    inference(avatar_split_clause,[],[f726,f700,f671,f200]) ).

fof(f671,plain,
    ( spl2_74
  <=> identity = sk_c2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_74])]) ).

fof(f700,plain,
    ( spl2_77
  <=> sk_c7 = multiply(sk_c2,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_77])]) ).

fof(f726,plain,
    ( sk_c7 = sk_c8
    | ~ spl2_74
    | ~ spl2_77 ),
    inference(forward_demodulation,[],[f724,f1]) ).

fof(f724,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl2_74
    | ~ spl2_77 ),
    inference(backward_demodulation,[],[f702,f673]) ).

fof(f673,plain,
    ( identity = sk_c2
    | ~ spl2_74 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f702,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | ~ spl2_77 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f725,plain,
    ( spl2_29
    | ~ spl2_11
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f723,f671,f108,f251]) ).

fof(f251,plain,
    ( spl2_29
  <=> sk_c8 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).

fof(f108,plain,
    ( spl2_11
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f723,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl2_11
    | ~ spl2_74 ),
    inference(backward_demodulation,[],[f110,f673]) ).

fof(f110,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f703,plain,
    ( spl2_77
    | ~ spl2_10
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f696,f666,f99,f700]) ).

fof(f99,plain,
    ( spl2_10
  <=> sk_c3 = multiply(sk_c2,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f666,plain,
    ( spl2_73
  <=> sk_c7 = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_73])]) ).

fof(f696,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | ~ spl2_10
    | ~ spl2_73 ),
    inference(backward_demodulation,[],[f101,f668]) ).

fof(f668,plain,
    ( sk_c7 = sk_c3
    | ~ spl2_73 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f101,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f687,plain,
    ( spl2_75
    | ~ spl2_5
    | ~ spl2_71 ),
    inference(avatar_split_clause,[],[f675,f656,f62,f684]) ).

fof(f684,plain,
    ( spl2_75
  <=> sk_c7 = multiply(sk_c4,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_75])]) ).

fof(f62,plain,
    ( spl2_5
  <=> sk_c5 = multiply(sk_c4,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f675,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl2_5
    | ~ spl2_71 ),
    inference(backward_demodulation,[],[f64,f658]) ).

fof(f64,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f674,plain,
    ( spl2_74
    | ~ spl2_21
    | ~ spl2_65 ),
    inference(avatar_split_clause,[],[f653,f566,f164,f671]) ).

fof(f164,plain,
    ( spl2_21
  <=> identity = multiply(sk_c8,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f653,plain,
    ( identity = sk_c2
    | ~ spl2_21
    | ~ spl2_65 ),
    inference(backward_demodulation,[],[f166,f605]) ).

fof(f166,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl2_21 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f669,plain,
    ( spl2_73
    | ~ spl2_9
    | ~ spl2_65 ),
    inference(avatar_split_clause,[],[f652,f566,f90,f666]) ).

fof(f90,plain,
    ( spl2_9
  <=> sk_c7 = multiply(sk_c8,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f652,plain,
    ( sk_c7 = sk_c3
    | ~ spl2_9
    | ~ spl2_65 ),
    inference(backward_demodulation,[],[f92,f605]) ).

fof(f92,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f659,plain,
    ( spl2_71
    | ~ spl2_4
    | ~ spl2_65 ),
    inference(avatar_split_clause,[],[f650,f566,f57,f656]) ).

fof(f57,plain,
    ( spl2_4
  <=> sk_c7 = multiply(sk_c8,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f650,plain,
    ( sk_c7 = sk_c5
    | ~ spl2_4
    | ~ spl2_65 ),
    inference(backward_demodulation,[],[f59,f605]) ).

fof(f59,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f569,plain,
    ( spl2_65
    | ~ spl2_1
    | ~ spl2_7
    | ~ spl2_21
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f561,f213,f164,f72,f43,f566]) ).

fof(f561,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl2_1
    | ~ spl2_7
    | ~ spl2_21
    | ~ spl2_24 ),
    inference(superposition,[],[f489,f166]) ).

fof(f489,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl2_1
    | ~ spl2_7
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f472,f208]) ).

fof(f472,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl2_1
    | ~ spl2_7
    | ~ spl2_24 ),
    inference(superposition,[],[f208,f429]) ).

fof(f429,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl2_1
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f206,f215]) ).

fof(f206,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl2_1 ),
    inference(superposition,[],[f3,f45]) ).

fof(f45,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f528,plain,
    ( spl2_33
    | ~ spl2_4
    | ~ spl2_7
    | ~ spl2_56 ),
    inference(avatar_split_clause,[],[f527,f475,f72,f57,f270]) ).

fof(f270,plain,
    ( spl2_33
  <=> sk_c7 = multiply(sk_c8,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).

fof(f475,plain,
    ( spl2_56
  <=> multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_56])]) ).

fof(f527,plain,
    ( sk_c7 = multiply(sk_c8,sk_c7)
    | ~ spl2_4
    | ~ spl2_7
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f526,f59]) ).

fof(f526,plain,
    ( multiply(sk_c8,sk_c5) = multiply(sk_c8,sk_c7)
    | ~ spl2_7
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f524,f208]) ).

fof(f524,plain,
    ( multiply(sk_c8,sk_c5) = multiply(sk_c1,multiply(sk_c7,sk_c7))
    | ~ spl2_7
    | ~ spl2_56 ),
    inference(superposition,[],[f208,f477]) ).

fof(f477,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c5)
    | ~ spl2_56 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f478,plain,
    ( spl2_56
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f469,f213,f57,f43,f475]) ).

fof(f469,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c5)
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_24 ),
    inference(superposition,[],[f429,f59]) ).

fof(f352,plain,
    ( ~ spl2_43
    | spl2_27
    | ~ spl2_35 ),
    inference(avatar_split_clause,[],[f351,f291,f232,f347]) ).

fof(f232,plain,
    ( spl2_27
  <=> sk_c8 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).

fof(f351,plain,
    ( identity != sk_c8
    | spl2_27
    | ~ spl2_35 ),
    inference(forward_demodulation,[],[f305,f1]) ).

fof(f305,plain,
    ( sk_c8 != multiply(identity,identity)
    | spl2_27
    | ~ spl2_35 ),
    inference(backward_demodulation,[],[f233,f293]) ).

fof(f233,plain,
    ( sk_c8 != multiply(sk_c7,sk_c7)
    | spl2_27 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f333,plain,
    ( spl2_40
    | ~ spl2_20
    | ~ spl2_35 ),
    inference(avatar_split_clause,[],[f328,f291,f158,f330]) ).

fof(f328,plain,
    ( identity = sk_c1
    | ~ spl2_20
    | ~ spl2_35 ),
    inference(forward_demodulation,[],[f300,f1]) ).

fof(f300,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl2_20
    | ~ spl2_35 ),
    inference(backward_demodulation,[],[f160,f293]) ).

fof(f273,plain,
    ( ~ spl2_32
    | ~ spl2_33
    | ~ spl2_16
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f247,f191,f134,f270,f265]) ).

fof(f265,plain,
    ( spl2_32
  <=> sk_c8 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f134,plain,
    ( spl2_16
  <=> ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f191,plain,
    ( spl2_22
  <=> sk_c7 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f247,plain,
    ( sk_c7 != multiply(sk_c8,sk_c7)
    | sk_c8 != inverse(sk_c7)
    | ~ spl2_16
    | ~ spl2_22 ),
    inference(superposition,[],[f135,f193]) ).

fof(f193,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl2_22 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f135,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != inverse(X5) )
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f268,plain,
    ( ~ spl2_31
    | ~ spl2_32
    | ~ spl2_16
    | ~ spl2_28 ),
    inference(avatar_split_clause,[],[f259,f237,f134,f265,f261]) ).

fof(f261,plain,
    ( spl2_31
  <=> sk_c7 = multiply(sk_c8,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f237,plain,
    ( spl2_28
  <=> sk_c7 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).

fof(f259,plain,
    ( sk_c8 != inverse(sk_c7)
    | sk_c7 != multiply(sk_c8,identity)
    | ~ spl2_16
    | ~ spl2_28 ),
    inference(forward_demodulation,[],[f246,f239]) ).

fof(f239,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl2_28 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f246,plain,
    ( sk_c7 != multiply(sk_c8,identity)
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl2_16 ),
    inference(superposition,[],[f135,f2]) ).

fof(f258,plain,
    ( ~ spl2_29
    | ~ spl2_30
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f244,f134,f255,f251]) ).

fof(f255,plain,
    ( spl2_30
  <=> sk_c7 = multiply(sk_c8,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).

fof(f244,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | sk_c8 != inverse(identity)
    | ~ spl2_16 ),
    inference(superposition,[],[f135,f1]) ).

fof(f240,plain,
    ( spl2_28
    | ~ spl2_3
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f220,f213,f52,f237]) ).

fof(f52,plain,
    ( spl2_3
  <=> sk_c6 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f220,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl2_3
    | ~ spl2_24 ),
    inference(backward_demodulation,[],[f54,f215]) ).

fof(f54,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f216,plain,
    ( spl2_24
    | ~ spl2_1
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f210,f191,f43,f213]) ).

fof(f210,plain,
    ( sk_c7 = sk_c6
    | ~ spl2_1
    | ~ spl2_22 ),
    inference(backward_demodulation,[],[f45,f193]) ).

fof(f209,plain,
    ( spl2_22
    | ~ spl2_7
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f207,f158,f72,f191]) ).

fof(f207,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl2_7
    | ~ spl2_20 ),
    inference(superposition,[],[f184,f74]) ).

fof(f184,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl2_20 ),
    inference(forward_demodulation,[],[f172,f1]) ).

fof(f172,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl2_20 ),
    inference(superposition,[],[f3,f160]) ).

fof(f203,plain,
    ( spl2_23
    | ~ spl2_4
    | ~ spl2_5
    | ~ spl2_19 ),
    inference(avatar_split_clause,[],[f198,f151,f62,f57,f200]) ).

fof(f198,plain,
    ( sk_c7 = sk_c8
    | ~ spl2_4
    | ~ spl2_5
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f196,f59]) ).

fof(f196,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | ~ spl2_5
    | ~ spl2_19 ),
    inference(superposition,[],[f185,f64]) ).

fof(f185,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f174,f1]) ).

fof(f174,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl2_19 ),
    inference(superposition,[],[f3,f153]) ).

fof(f167,plain,
    ( spl2_21
    | ~ spl2_11 ),
    inference(avatar_split_clause,[],[f162,f108,f164]) ).

fof(f162,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl2_11 ),
    inference(superposition,[],[f2,f110]) ).

fof(f155,plain,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | sP1(multiply(sk_c7,sk_c8))
    | ~ sP1(sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f140,plain,
    ( spl2_14
    | spl2_15
    | spl2_16
    | ~ spl2_17
    | ~ spl2_3
    | spl2_16 ),
    inference(avatar_split_clause,[],[f41,f134,f52,f137,f134,f131,f127]) ).

fof(f127,plain,
    ( spl2_14
  <=> sP1(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f137,plain,
    ( spl2_17
  <=> sP0(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f41,plain,
    ! [X3,X7,X5] :
      ( sk_c8 != inverse(X7)
      | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
      | sk_c6 != inverse(sk_c8)
      | ~ sP0(sk_c8)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c7 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c7)
      | sP1(sk_c6) ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f39,plain,
    ! [X3,X7,X5] :
      ( sk_c8 != inverse(X7)
      | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
      | sk_c6 != inverse(sk_c8)
      | sP0(sk_c8)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c7 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c7)
      | sP1(sk_c6) ),
    inference(equality_resolution,[],[f38]) ).

fof(f38,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c8 != inverse(X7)
      | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
      | sk_c6 != inverse(sk_c8)
      | sP0(sk_c8)
      | sk_c8 != inverse(X5)
      | multiply(X5,sk_c8) != X4
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c7 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c7)
      | sP1(sk_c6) ),
    inference(equality_resolution,[],[f37]) ).

fof(f37,plain,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X7)
      | multiply(X7,sk_c8) != X6
      | sk_c7 != multiply(sk_c8,X6)
      | sk_c6 != inverse(sk_c8)
      | sP0(sk_c8)
      | sk_c8 != inverse(X5)
      | multiply(X5,sk_c8) != X4
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c7 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c7)
      | sP1(sk_c6) ),
    inference(inequality_splitting,[],[f34,f36,f35]) ).

fof(f35,plain,
    ~ sP0(multiply(sk_c7,sk_c6)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f36,plain,
    ~ sP1(multiply(sk_c7,sk_c8)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X7)
      | multiply(X7,sk_c8) != X6
      | sk_c7 != multiply(sk_c8,X6)
      | sk_c6 != inverse(sk_c8)
      | sk_c8 != multiply(sk_c7,sk_c6)
      | sk_c8 != inverse(X5)
      | multiply(X5,sk_c8) != X4
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c7 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c7)
      | multiply(sk_c7,sk_c8) != sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_31) ).

fof(f125,plain,
    spl2_13,
    inference(avatar_split_clause,[],[f40,f122]) ).

fof(f122,plain,
    ( spl2_13
  <=> sP0(multiply(sk_c7,sk_c6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f40,plain,
    sP0(multiply(sk_c7,sk_c6)),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f120,plain,
    ~ spl2_12,
    inference(avatar_split_clause,[],[f36,f117]) ).

fof(f117,plain,
    ( spl2_12
  <=> sP1(multiply(sk_c7,sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f115,plain,
    ( spl2_11
    | spl2_6 ),
    inference(avatar_split_clause,[],[f33,f67,f108]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_30) ).

fof(f114,plain,
    ( spl2_11
    | spl2_5 ),
    inference(avatar_split_clause,[],[f32,f62,f108]) ).

fof(f32,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_29) ).

fof(f113,plain,
    ( spl2_11
    | spl2_4 ),
    inference(avatar_split_clause,[],[f31,f57,f108]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_28) ).

fof(f112,plain,
    ( spl2_11
    | spl2_3 ),
    inference(avatar_split_clause,[],[f30,f52,f108]) ).

fof(f30,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_27) ).

fof(f106,plain,
    ( spl2_10
    | spl2_6 ),
    inference(avatar_split_clause,[],[f28,f67,f99]) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_25) ).

fof(f105,plain,
    ( spl2_10
    | spl2_5 ),
    inference(avatar_split_clause,[],[f27,f62,f99]) ).

fof(f27,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_24) ).

fof(f104,plain,
    ( spl2_10
    | spl2_4 ),
    inference(avatar_split_clause,[],[f26,f57,f99]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_23) ).

fof(f97,plain,
    ( spl2_9
    | spl2_6 ),
    inference(avatar_split_clause,[],[f23,f67,f90]) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_20) ).

fof(f96,plain,
    ( spl2_9
    | spl2_5 ),
    inference(avatar_split_clause,[],[f22,f62,f90]) ).

fof(f22,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_19) ).

fof(f95,plain,
    ( spl2_9
    | spl2_4 ),
    inference(avatar_split_clause,[],[f21,f57,f90]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_18) ).

fof(f88,plain,
    ( spl2_8
    | spl2_6 ),
    inference(avatar_split_clause,[],[f18,f67,f81]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_15) ).

fof(f87,plain,
    ( spl2_8
    | spl2_5 ),
    inference(avatar_split_clause,[],[f17,f62,f81]) ).

fof(f17,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_14) ).

fof(f86,plain,
    ( spl2_8
    | spl2_4 ),
    inference(avatar_split_clause,[],[f16,f57,f81]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_13) ).

fof(f85,plain,
    ( spl2_8
    | spl2_3 ),
    inference(avatar_split_clause,[],[f15,f52,f81]) ).

fof(f15,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_12) ).

fof(f84,plain,
    ( spl2_8
    | spl2_2 ),
    inference(avatar_split_clause,[],[f14,f47,f81]) ).

fof(f14,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_11) ).

fof(f79,plain,
    ( spl2_7
    | spl2_6 ),
    inference(avatar_split_clause,[],[f13,f67,f72]) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_10) ).

fof(f78,plain,
    ( spl2_7
    | spl2_5 ),
    inference(avatar_split_clause,[],[f12,f62,f72]) ).

fof(f12,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_9) ).

fof(f77,plain,
    ( spl2_7
    | spl2_4 ),
    inference(avatar_split_clause,[],[f11,f57,f72]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_8) ).

fof(f76,plain,
    ( spl2_7
    | spl2_3 ),
    inference(avatar_split_clause,[],[f10,f52,f72]) ).

fof(f10,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_7) ).

fof(f75,plain,
    ( spl2_7
    | spl2_2 ),
    inference(avatar_split_clause,[],[f9,f47,f72]) ).

fof(f9,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_6) ).

fof(f70,plain,
    ( spl2_1
    | spl2_6 ),
    inference(avatar_split_clause,[],[f8,f67,f43]) ).

fof(f8,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_5) ).

fof(f65,plain,
    ( spl2_1
    | spl2_5 ),
    inference(avatar_split_clause,[],[f7,f62,f43]) ).

fof(f7,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_4) ).

fof(f60,plain,
    ( spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f6,f57,f43]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_3) ).

fof(f55,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[],[f5,f52,f43]) ).

fof(f5,axiom,
    ( sk_c6 = inverse(sk_c8)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_2) ).

fof(f50,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f4,f47,f43]) ).

fof(f4,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : GRP328-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33  % Computer : n005.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 20:40:38 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.yIybr42mgQ/Vampire---4.8_4969
% 0.60/0.80  % (5086)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80  % (5081)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 (2995ds/34Mi)
% 0.60/0.80  % (5083)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (5084)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80  % (5085)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 (2995ds/34Mi)
% 0.60/0.80  % (5082)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 (2995ds/51Mi)
% 0.60/0.80  % (5087)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 (2995ds/83Mi)
% 0.60/0.80  % (5088)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 (2995ds/56Mi)
% 0.60/0.80  % (5081)Refutation not found, incomplete strategy% (5081)------------------------------
% 0.60/0.80  % (5081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (5085)Refutation not found, incomplete strategy% (5085)------------------------------
% 0.60/0.80  % (5085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (5085)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (5085)Memory used [KB]: 1003
% 0.60/0.80  % (5085)Time elapsed: 0.003 s
% 0.60/0.80  % (5085)Instructions burned: 4 (million)
% 0.60/0.80  % (5081)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  % (5084)Refutation not found, incomplete strategy% (5084)------------------------------
% 0.60/0.80  % (5084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (5084)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (5084)Memory used [KB]: 987
% 0.60/0.80  % (5084)Time elapsed: 0.003 s
% 0.60/0.80  % (5084)Instructions burned: 4 (million)
% 0.60/0.80  
% 0.60/0.80  % (5081)Memory used [KB]: 1004
% 0.60/0.80  % (5081)Time elapsed: 0.004 s
% 0.60/0.80  % (5081)Instructions burned: 4 (million)
% 0.60/0.80  % (5088)Refutation not found, incomplete strategy% (5088)------------------------------
% 0.60/0.80  % (5088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (5088)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (5088)Memory used [KB]: 989
% 0.60/0.80  % (5088)Time elapsed: 0.003 s
% 0.60/0.80  % (5085)------------------------------
% 0.60/0.80  % (5085)------------------------------
% 0.60/0.80  % (5088)Instructions burned: 4 (million)
% 0.60/0.80  % (5084)------------------------------
% 0.60/0.80  % (5084)------------------------------
% 0.60/0.80  % (5081)------------------------------
% 0.60/0.80  % (5081)------------------------------
% 0.60/0.80  % (5088)------------------------------
% 0.60/0.80  % (5088)------------------------------
% 0.60/0.80  % (5083)Refutation not found, incomplete strategy% (5083)------------------------------
% 0.60/0.80  % (5083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (5083)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (5083)Memory used [KB]: 1066
% 0.60/0.80  % (5083)Time elapsed: 0.005 s
% 0.60/0.80  % (5083)Instructions burned: 6 (million)
% 0.60/0.80  % (5083)------------------------------
% 0.60/0.80  % (5083)------------------------------
% 0.60/0.80  % (5087)Refutation not found, incomplete strategy% (5087)------------------------------
% 0.60/0.80  % (5087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (5087)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (5087)Memory used [KB]: 1078
% 0.60/0.80  % (5087)Time elapsed: 0.005 s
% 0.60/0.80  % (5087)Instructions burned: 7 (million)
% 0.60/0.81  % (5087)------------------------------
% 0.60/0.81  % (5087)------------------------------
% 0.60/0.81  % (5091)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 (2995ds/208Mi)
% 0.60/0.81  % (5089)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 (2995ds/55Mi)
% 0.60/0.81  % (5090)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 (2995ds/50Mi)
% 0.60/0.81  % (5092)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 (2995ds/52Mi)
% 0.60/0.81  % (5093)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 (2995ds/518Mi)
% 0.60/0.81  % (5094)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 (2995ds/42Mi)
% 0.60/0.81  % (5090)Refutation not found, incomplete strategy% (5090)------------------------------
% 0.60/0.81  % (5090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (5090)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (5090)Memory used [KB]: 993
% 0.60/0.81  % (5090)Time elapsed: 0.004 s
% 0.60/0.81  % (5090)Instructions burned: 5 (million)
% 0.60/0.81  % (5090)------------------------------
% 0.60/0.81  % (5090)------------------------------
% 0.60/0.81  % (5092)Refutation not found, incomplete strategy% (5092)------------------------------
% 0.60/0.81  % (5092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (5089)Refutation not found, incomplete strategy% (5089)------------------------------
% 0.60/0.81  % (5089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (5089)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (5089)Memory used [KB]: 1076
% 0.60/0.81  % (5089)Time elapsed: 0.005 s
% 0.60/0.81  % (5089)Instructions burned: 6 (million)
% 0.60/0.81  % (5094)Refutation not found, incomplete strategy% (5094)------------------------------
% 0.60/0.81  % (5094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (5094)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (5094)Memory used [KB]: 1004
% 0.60/0.81  % (5094)Time elapsed: 0.003 s
% 0.60/0.81  % (5094)Instructions burned: 4 (million)
% 0.60/0.81  % (5092)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (5092)Memory used [KB]: 1066
% 0.60/0.81  % (5092)Time elapsed: 0.005 s
% 0.60/0.81  % (5092)Instructions burned: 6 (million)
% 0.60/0.81  % (5089)------------------------------
% 0.60/0.81  % (5089)------------------------------
% 0.60/0.81  % (5094)------------------------------
% 0.60/0.81  % (5094)------------------------------
% 0.60/0.81  % (5092)------------------------------
% 0.60/0.81  % (5092)------------------------------
% 0.60/0.81  % (5095)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 (2995ds/243Mi)
% 0.60/0.81  % (5098)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 (2995ds/93Mi)
% 0.60/0.81  % (5097)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 (2995ds/143Mi)
% 0.60/0.81  % (5096)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 (2995ds/117Mi)
% 0.60/0.82  % (5096)Refutation not found, incomplete strategy% (5096)------------------------------
% 0.60/0.82  % (5096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (5096)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (5096)Memory used [KB]: 990
% 0.60/0.82  % (5096)Time elapsed: 0.003 s
% 0.60/0.82  % (5096)Instructions burned: 4 (million)
% 0.60/0.82  % (5097)Refutation not found, incomplete strategy% (5097)------------------------------
% 0.60/0.82  % (5097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (5097)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (5097)Memory used [KB]: 1006
% 0.60/0.82  % (5097)Time elapsed: 0.003 s
% 0.60/0.82  % (5097)Instructions burned: 4 (million)
% 0.60/0.82  % (5096)------------------------------
% 0.60/0.82  % (5096)------------------------------
% 0.60/0.82  % (5097)------------------------------
% 0.60/0.82  % (5097)------------------------------
% 0.60/0.82  % (5099)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 (2995ds/62Mi)
% 0.60/0.82  % (5100)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 (2995ds/32Mi)
% 0.60/0.82  % (5086)Instruction limit reached!
% 0.60/0.82  % (5086)------------------------------
% 0.60/0.82  % (5086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (5086)Termination reason: Unknown
% 0.60/0.82  % (5086)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (5086)Memory used [KB]: 1526
% 0.60/0.82  % (5086)Time elapsed: 0.021 s
% 0.60/0.82  % (5086)Instructions burned: 46 (million)
% 0.60/0.82  % (5086)------------------------------
% 0.60/0.82  % (5086)------------------------------
% 0.60/0.82  % (5099)Refutation not found, incomplete strategy% (5099)------------------------------
% 0.60/0.82  % (5099)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (5099)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (5099)Memory used [KB]: 990
% 0.60/0.82  % (5099)Time elapsed: 0.003 s
% 0.60/0.82  % (5099)Instructions burned: 3 (million)
% 0.60/0.82  % (5099)------------------------------
% 0.60/0.82  % (5099)------------------------------
% 0.60/0.82  % (5082)Instruction limit reached!
% 0.60/0.82  % (5082)------------------------------
% 0.60/0.82  % (5082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (5082)Termination reason: Unknown
% 0.60/0.82  % (5082)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (5082)Memory used [KB]: 1635
% 0.60/0.82  % (5082)Time elapsed: 0.023 s
% 0.60/0.82  % (5082)Instructions burned: 51 (million)
% 0.60/0.82  % (5082)------------------------------
% 0.60/0.82  % (5082)------------------------------
% 0.60/0.82  % (5101)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 (2995ds/1919Mi)
% 0.60/0.82  % (5102)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 (2995ds/55Mi)
% 0.60/0.83  % (5103)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 (2995ds/53Mi)
% 0.60/0.83  % (5102)Refutation not found, incomplete strategy% (5102)------------------------------
% 0.60/0.83  % (5102)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (5102)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (5102)Memory used [KB]: 1012
% 0.60/0.83  % (5102)Time elapsed: 0.004 s
% 0.60/0.83  % (5102)Instructions burned: 5 (million)
% 0.60/0.83  % (5102)------------------------------
% 0.60/0.83  % (5102)------------------------------
% 0.60/0.83  % (5101)Refutation not found, incomplete strategy% (5101)------------------------------
% 0.60/0.83  % (5101)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (5101)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (5101)Memory used [KB]: 1066
% 0.60/0.83  % (5101)Time elapsed: 0.004 s
% 0.60/0.83  % (5101)Instructions burned: 6 (million)
% 0.60/0.83  % (5101)------------------------------
% 0.60/0.83  % (5101)------------------------------
% 0.60/0.83  % (5104)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 (2995ds/46Mi)
% 0.60/0.83  % (5105)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 (2995ds/102Mi)
% 0.60/0.83  % (5104)Refutation not found, incomplete strategy% (5104)------------------------------
% 0.60/0.83  % (5104)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (5104)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (5104)Memory used [KB]: 993
% 0.60/0.83  % (5104)Time elapsed: 0.003 s
% 0.60/0.83  % (5104)Instructions burned: 3 (million)
% 0.60/0.83  % (5104)------------------------------
% 0.60/0.83  % (5104)------------------------------
% 0.60/0.83  % (5105)Refutation not found, incomplete strategy% (5105)------------------------------
% 0.60/0.83  % (5105)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (5105)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (5105)Memory used [KB]: 1075
% 0.60/0.83  % (5105)Time elapsed: 0.005 s
% 0.60/0.83  % (5105)Instructions burned: 7 (million)
% 0.60/0.83  % (5105)------------------------------
% 0.60/0.83  % (5105)------------------------------
% 0.60/0.83  % (5100)Instruction limit reached!
% 0.60/0.83  % (5100)------------------------------
% 0.60/0.83  % (5100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (5100)Termination reason: Unknown
% 0.60/0.83  % (5100)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (5100)Memory used [KB]: 1397
% 0.60/0.83  % (5100)Time elapsed: 0.017 s
% 0.60/0.83  % (5100)Instructions burned: 32 (million)
% 0.60/0.83  % (5100)------------------------------
% 0.60/0.83  % (5100)------------------------------
% 0.60/0.84  % (5106)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 (2995ds/35Mi)
% 0.60/0.84  % (5107)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)
% 0.60/0.84  % (5108)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)
% 0.60/0.84  % (5103)Instruction limit reached!
% 0.60/0.84  % (5103)------------------------------
% 0.60/0.84  % (5103)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (5103)Termination reason: Unknown
% 0.60/0.84  % (5103)Termination phase: Saturation
% 0.60/0.84  
% 0.60/0.84  % (5103)Memory used [KB]: 1178
% 0.60/0.84  % (5103)Time elapsed: 0.020 s
% 0.60/0.84  % (5103)Instructions burned: 54 (million)
% 0.60/0.84  % (5103)------------------------------
% 0.60/0.84  % (5103)------------------------------
% 0.60/0.85  % (5109)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 (2994ds/161Mi)
% 0.60/0.85  % (5109)Refutation not found, incomplete strategy% (5109)------------------------------
% 0.60/0.85  % (5109)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (5109)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.85  
% 0.60/0.85  % (5109)Memory used [KB]: 985
% 0.60/0.85  % (5109)Time elapsed: 0.003 s
% 0.60/0.85  % (5109)Instructions burned: 4 (million)
% 0.60/0.85  % (5109)------------------------------
% 0.60/0.85  % (5109)------------------------------
% 0.60/0.85  % (5106)Instruction limit reached!
% 0.60/0.85  % (5106)------------------------------
% 0.60/0.85  % (5106)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (5106)Termination reason: Unknown
% 0.60/0.85  % (5106)Termination phase: Saturation
% 0.60/0.85  
% 0.60/0.85  % (5106)Memory used [KB]: 1185
% 0.60/0.85  % (5106)Time elapsed: 0.018 s
% 0.60/0.85  % (5106)Instructions burned: 36 (million)
% 0.60/0.85  % (5106)------------------------------
% 0.60/0.85  % (5106)------------------------------
% 0.60/0.85  % (5110)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 (2994ds/69Mi)
% 0.60/0.85  % (5110)Refutation not found, incomplete strategy% (5110)------------------------------
% 0.60/0.85  % (5110)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (5110)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.85  
% 0.60/0.85  % (5110)Memory used [KB]: 1073
% 0.60/0.85  % (5110)Time elapsed: 0.003 s
% 0.60/0.85  % (5110)Instructions burned: 4 (million)
% 0.60/0.85  % (5110)------------------------------
% 0.60/0.85  % (5110)------------------------------
% 0.60/0.85  % (5111)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 (2994ds/40Mi)
% 0.60/0.86  % (5098)Instruction limit reached!
% 0.60/0.86  % (5098)------------------------------
% 0.60/0.86  % (5098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.86  % (5098)Termination reason: Unknown
% 0.60/0.86  % (5098)Termination phase: Saturation
% 0.60/0.86  
% 0.60/0.86  % (5098)Memory used [KB]: 2245
% 0.60/0.86  % (5098)Time elapsed: 0.043 s
% 0.60/0.86  % (5098)Instructions burned: 94 (million)
% 0.60/0.86  % (5098)------------------------------
% 0.60/0.86  % (5098)------------------------------
% 0.88/0.86  % (5112)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 (2994ds/360Mi)
% 0.88/0.86  % (5113)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 (2994ds/161Mi)
% 0.88/0.86  % (5108)First to succeed.
% 0.88/0.87  % (5108)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5078"
% 0.88/0.87  % (5108)Refutation found. Thanks to Tanya!
% 0.88/0.87  % SZS status Unsatisfiable for Vampire---4
% 0.88/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.88/0.87  % (5108)------------------------------
% 0.88/0.87  % (5108)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.87  % (5108)Termination reason: Refutation
% 0.88/0.87  
% 0.88/0.87  % (5108)Memory used [KB]: 1543
% 0.88/0.87  % (5108)Time elapsed: 0.032 s
% 0.88/0.87  % (5108)Instructions burned: 55 (million)
% 0.88/0.87  % (5078)Success in time 0.527 s
% 0.88/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------