TSTP Solution File: GRP388-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP388-1 : 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 : n022.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 05:47:39 EDT 2024

% Result   : Unsatisfiable 1.03s 0.86s
% Output   : Refutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  231 (  10 unt;   0 def)
%            Number of atoms       :  652 ( 279 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  786 ( 365   ~; 381   |;   0   &)
%                                         (  40 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   43 (  41 usr;  41 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1708,plain,
    $false,
    inference(avatar_sat_refutation,[],[f47,f56,f66,f86,f91,f96,f97,f98,f99,f100,f101,f102,f103,f108,f109,f110,f120,f121,f122,f132,f146,f155,f170,f197,f205,f214,f219,f242,f244,f251,f263,f297,f339,f350,f373,f850,f859,f867,f873,f984,f1109,f1178,f1184,f1274,f1280,f1304,f1325,f1342,f1350,f1359,f1363,f1379,f1382,f1486,f1519,f1538,f1542,f1707]) ).

fof(f1707,plain,
    ( ~ spl1_12
    | spl1_29
    | ~ spl1_31
    | ~ spl1_65
    | ~ spl1_78 ),
    inference(avatar_contradiction_clause,[],[f1706]) ).

fof(f1706,plain,
    ( $false
    | ~ spl1_12
    | spl1_29
    | ~ spl1_31
    | ~ spl1_65
    | ~ spl1_78 ),
    inference(subsumption_resolution,[],[f1699,f240]) ).

fof(f240,plain,
    ( identity != sk_c8
    | spl1_29 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl1_29
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).

fof(f1699,plain,
    ( identity = sk_c8
    | ~ spl1_12
    | ~ spl1_31
    | ~ spl1_65
    | ~ spl1_78 ),
    inference(superposition,[],[f2,f1637]) ).

fof(f1637,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = X0
    | ~ spl1_12
    | ~ spl1_31
    | ~ spl1_65
    | ~ spl1_78 ),
    inference(superposition,[],[f186,f1613]) ).

fof(f1613,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl1_12
    | ~ spl1_31
    | ~ spl1_65
    | ~ spl1_78 ),
    inference(superposition,[],[f1583,f1606]) ).

fof(f1606,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = X0
    | ~ spl1_12
    | ~ spl1_65
    | ~ spl1_78 ),
    inference(forward_demodulation,[],[f1605,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',left_identity) ).

fof(f1605,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c10,X0))
    | ~ spl1_12
    | ~ spl1_65
    | ~ spl1_78 ),
    inference(forward_demodulation,[],[f1604,f613]) ).

fof(f613,plain,
    ( sk_c10 = sk_c1
    | ~ spl1_65 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f611,plain,
    ( spl1_65
  <=> sk_c10 = sk_c1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_65])]) ).

fof(f1604,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | ~ spl1_12
    | ~ spl1_78 ),
    inference(forward_demodulation,[],[f183,f796]) ).

fof(f796,plain,
    ( identity = sk_c2
    | ~ spl1_78 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f794,plain,
    ( spl1_78
  <=> identity = sk_c2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_78])]) ).

fof(f183,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sk_c2,X0)
    | ~ spl1_12 ),
    inference(superposition,[],[f3,f107]) ).

fof(f107,plain,
    ( sk_c2 = multiply(sk_c1,sk_c10)
    | ~ spl1_12 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl1_12
  <=> sk_c2 = multiply(sk_c1,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',associativity) ).

fof(f1583,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c10,X0))
    | ~ spl1_31 ),
    inference(superposition,[],[f3,f256]) ).

fof(f256,plain,
    ( sk_c10 = multiply(sk_c8,sk_c10)
    | ~ spl1_31 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl1_31
  <=> sk_c10 = multiply(sk_c8,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).

fof(f186,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f173,f1]) ).

fof(f173,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',left_inverse) ).

fof(f1542,plain,
    ( spl1_31
    | ~ spl1_2
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f1440,f202,f49,f254]) ).

fof(f49,plain,
    ( spl1_2
  <=> sk_c10 = multiply(sk_c8,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f202,plain,
    ( spl1_24
  <=> sk_c10 = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).

fof(f1440,plain,
    ( sk_c10 = multiply(sk_c8,sk_c10)
    | ~ spl1_2
    | ~ spl1_24 ),
    inference(forward_demodulation,[],[f51,f204]) ).

fof(f204,plain,
    ( sk_c10 = sk_c9
    | ~ spl1_24 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f51,plain,
    ( sk_c10 = multiply(sk_c8,sk_c9)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f1538,plain,
    ( sk_c8 != multiply(sk_c3,sk_c10)
    | identity != multiply(sk_c3,sk_c10)
    | identity = sk_c8 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1519,plain,
    ( inverse(sk_c10) != sk_c9
    | sk_c10 != sk_c9
    | sk_c10 != inverse(sk_c7)
    | sk_c3 != multiply(inverse(sk_c10),identity)
    | sk_c10 != multiply(sk_c10,identity)
    | sk_c10 = sk_c3 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1486,plain,
    ( ~ spl1_18
    | ~ spl1_28
    | ~ spl1_29
    | ~ spl1_35 ),
    inference(avatar_contradiction_clause,[],[f1485]) ).

fof(f1485,plain,
    ( $false
    | ~ spl1_18
    | ~ spl1_28
    | ~ spl1_29
    | ~ spl1_35 ),
    inference(subsumption_resolution,[],[f1475,f228]) ).

fof(f228,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl1_28 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl1_28
  <=> sk_c10 = inverse(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).

fof(f1475,plain,
    ( sk_c10 != inverse(sk_c10)
    | ~ spl1_18
    | ~ spl1_29
    | ~ spl1_35 ),
    inference(trivial_inequality_removal,[],[f1472]) ).

fof(f1472,plain,
    ( sk_c10 != sk_c10
    | sk_c10 != inverse(sk_c10)
    | ~ spl1_18
    | ~ spl1_29
    | ~ spl1_35 ),
    inference(superposition,[],[f1464,f293]) ).

fof(f293,plain,
    ( sk_c10 = multiply(sk_c10,identity)
    | ~ spl1_35 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f292,plain,
    ( spl1_35
  <=> sk_c10 = multiply(sk_c10,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).

fof(f1464,plain,
    ( ! [X9] :
        ( sk_c10 != multiply(X9,identity)
        | sk_c10 != inverse(X9) )
    | ~ spl1_18
    | ~ spl1_29 ),
    inference(forward_demodulation,[],[f145,f241]) ).

fof(f241,plain,
    ( identity = sk_c8
    | ~ spl1_29 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f145,plain,
    ( ! [X9] :
        ( sk_c10 != multiply(X9,sk_c8)
        | sk_c10 != inverse(X9) )
    | ~ spl1_18 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl1_18
  <=> ! [X9] :
        ( sk_c10 != multiply(X9,sk_c8)
        | sk_c10 != inverse(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).

fof(f1382,plain,
    ( spl1_20
    | ~ spl1_5 ),
    inference(avatar_split_clause,[],[f1381,f63,f157]) ).

fof(f157,plain,
    ( spl1_20
  <=> identity = multiply(sk_c10,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).

fof(f63,plain,
    ( spl1_5
  <=> sk_c10 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f1381,plain,
    ( identity = multiply(sk_c10,sk_c3)
    | ~ spl1_5 ),
    inference(superposition,[],[f2,f65]) ).

fof(f65,plain,
    ( sk_c10 = inverse(sk_c3)
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f1379,plain,
    ( spl1_28
    | ~ spl1_1
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f1378,f202,f44,f226]) ).

fof(f44,plain,
    ( spl1_1
  <=> inverse(sk_c10) = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f1378,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl1_1
    | ~ spl1_24 ),
    inference(forward_demodulation,[],[f46,f204]) ).

fof(f46,plain,
    ( inverse(sk_c10) = sk_c9
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f1363,plain,
    ( spl1_64
    | ~ spl1_35
    | ~ spl1_82 ),
    inference(avatar_split_clause,[],[f1362,f856,f292,f605]) ).

fof(f605,plain,
    ( spl1_64
  <=> sk_c10 = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_64])]) ).

fof(f856,plain,
    ( spl1_82
  <=> sk_c3 = multiply(sk_c10,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_82])]) ).

fof(f1362,plain,
    ( sk_c10 = sk_c3
    | ~ spl1_35
    | ~ spl1_82 ),
    inference(forward_demodulation,[],[f858,f293]) ).

fof(f858,plain,
    ( sk_c3 = multiply(sk_c10,identity)
    | ~ spl1_82 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f1359,plain,
    ( spl1_65
    | ~ spl1_35
    | ~ spl1_84 ),
    inference(avatar_split_clause,[],[f1358,f870,f292,f611]) ).

fof(f870,plain,
    ( spl1_84
  <=> sk_c1 = multiply(sk_c10,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_84])]) ).

fof(f1358,plain,
    ( sk_c10 = sk_c1
    | ~ spl1_35
    | ~ spl1_84 ),
    inference(forward_demodulation,[],[f872,f293]) ).

fof(f872,plain,
    ( sk_c1 = multiply(sk_c10,identity)
    | ~ spl1_84 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f1350,plain,
    ( sk_c9 != multiply(sk_c10,sk_c4)
    | sk_c10 != sk_c9
    | sk_c10 = multiply(sk_c10,sk_c4) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1342,plain,
    ( sk_c10 != sk_c9
    | sk_c10 != sk_c3
    | identity != sk_c8
    | identity != multiply(sk_c9,sk_c10)
    | sk_c8 = multiply(sk_c3,sk_c10) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1325,plain,
    ( sk_c10 != sk_c3
    | identity != sk_c8
    | sk_c4 != multiply(sk_c3,sk_c10)
    | identity != multiply(sk_c9,sk_c10)
    | inverse(sk_c10) != sk_c9
    | sk_c9 != multiply(sk_c10,sk_c4)
    | sk_c10 != multiply(sk_c10,sk_c4)
    | sk_c10 != inverse(sk_c7)
    | sk_c10 != multiply(sk_c10,identity)
    | multiply(sk_c4,sk_c10) != multiply(sk_c3,identity)
    | ~ sP0(sk_c10)
    | sP0(multiply(sk_c8,sk_c9)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1304,plain,
    ( spl1_107
    | ~ spl1_4
    | ~ spl1_91 ),
    inference(avatar_split_clause,[],[f1299,f981,f58,f1301]) ).

fof(f1301,plain,
    ( spl1_107
  <=> identity = multiply(sk_c3,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_107])]) ).

fof(f58,plain,
    ( spl1_4
  <=> sk_c4 = multiply(sk_c3,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f981,plain,
    ( spl1_91
  <=> identity = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_91])]) ).

fof(f1299,plain,
    ( identity = multiply(sk_c3,sk_c10)
    | ~ spl1_4
    | ~ spl1_91 ),
    inference(forward_demodulation,[],[f60,f982]) ).

fof(f982,plain,
    ( identity = sk_c4
    | ~ spl1_91 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f60,plain,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f1280,plain,
    ( spl1_30
    | ~ spl1_12
    | ~ spl1_13 ),
    inference(avatar_split_clause,[],[f885,f117,f105,f248]) ).

fof(f248,plain,
    ( spl1_30
  <=> sk_c10 = multiply(sk_c10,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).

fof(f117,plain,
    ( spl1_13
  <=> sk_c10 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).

fof(f885,plain,
    ( sk_c10 = multiply(sk_c10,sk_c2)
    | ~ spl1_12
    | ~ spl1_13 ),
    inference(forward_demodulation,[],[f843,f119]) ).

fof(f119,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl1_13 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f843,plain,
    ( sk_c10 = multiply(inverse(sk_c1),sk_c2)
    | ~ spl1_12 ),
    inference(superposition,[],[f186,f107]) ).

fof(f1274,plain,
    ( spl1_102
    | ~ spl1_20 ),
    inference(avatar_split_clause,[],[f833,f157,f1271]) ).

fof(f1271,plain,
    ( spl1_102
  <=> sk_c3 = multiply(inverse(sk_c10),identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_102])]) ).

fof(f833,plain,
    ( sk_c3 = multiply(inverse(sk_c10),identity)
    | ~ spl1_20 ),
    inference(superposition,[],[f186,f159]) ).

fof(f159,plain,
    ( identity = multiply(sk_c10,sk_c3)
    | ~ spl1_20 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f1184,plain,
    ( sk_c9 != multiply(sk_c10,sk_c2)
    | sk_c10 != multiply(sk_c10,sk_c2)
    | sk_c10 = sk_c9 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1178,plain,
    ( ~ spl1_20
    | spl1_29
    | ~ spl1_31 ),
    inference(avatar_contradiction_clause,[],[f1177]) ).

fof(f1177,plain,
    ( $false
    | ~ spl1_20
    | spl1_29
    | ~ spl1_31 ),
    inference(subsumption_resolution,[],[f1170,f240]) ).

fof(f1170,plain,
    ( identity = sk_c8
    | ~ spl1_20
    | ~ spl1_31 ),
    inference(superposition,[],[f2,f837]) ).

fof(f837,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = X0
    | ~ spl1_20
    | ~ spl1_31 ),
    inference(superposition,[],[f186,f510]) ).

fof(f510,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl1_20
    | ~ spl1_31 ),
    inference(superposition,[],[f266,f187]) ).

fof(f187,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
    | ~ spl1_20 ),
    inference(forward_demodulation,[],[f175,f1]) ).

fof(f175,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
    | ~ spl1_20 ),
    inference(superposition,[],[f3,f159]) ).

fof(f266,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c10,X0))
    | ~ spl1_31 ),
    inference(superposition,[],[f3,f256]) ).

fof(f1109,plain,
    ( spl1_91
    | ~ spl1_23 ),
    inference(avatar_split_clause,[],[f1090,f194,f981]) ).

fof(f194,plain,
    ( spl1_23
  <=> sk_c10 = multiply(sk_c10,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).

fof(f1090,plain,
    ( identity = sk_c4
    | ~ spl1_23 ),
    inference(forward_demodulation,[],[f1085,f2]) ).

fof(f1085,plain,
    ( sk_c4 = multiply(inverse(sk_c10),sk_c10)
    | ~ spl1_23 ),
    inference(superposition,[],[f186,f196]) ).

fof(f196,plain,
    ( sk_c10 = multiply(sk_c10,sk_c4)
    | ~ spl1_23 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f984,plain,
    ( ~ spl1_91
    | spl1_4
    | ~ spl1_25
    | ~ spl1_64 ),
    inference(avatar_split_clause,[],[f979,f605,f211,f58,f981]) ).

fof(f211,plain,
    ( spl1_25
  <=> identity = multiply(sk_c10,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).

fof(f979,plain,
    ( identity != sk_c4
    | spl1_4
    | ~ spl1_25
    | ~ spl1_64 ),
    inference(forward_demodulation,[],[f974,f213]) ).

fof(f213,plain,
    ( identity = multiply(sk_c10,sk_c10)
    | ~ spl1_25 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f974,plain,
    ( sk_c4 != multiply(sk_c10,sk_c10)
    | spl1_4
    | ~ spl1_64 ),
    inference(backward_demodulation,[],[f59,f607]) ).

fof(f607,plain,
    ( sk_c10 = sk_c3
    | ~ spl1_64 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f59,plain,
    ( sk_c4 != multiply(sk_c3,sk_c10)
    | spl1_4 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f873,plain,
    ( spl1_84
    | ~ spl1_28
    | ~ spl1_32 ),
    inference(avatar_split_clause,[],[f868,f260,f226,f870]) ).

fof(f260,plain,
    ( spl1_32
  <=> identity = multiply(sk_c10,sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).

fof(f868,plain,
    ( sk_c1 = multiply(sk_c10,identity)
    | ~ spl1_28
    | ~ spl1_32 ),
    inference(forward_demodulation,[],[f836,f228]) ).

fof(f836,plain,
    ( sk_c1 = multiply(inverse(sk_c10),identity)
    | ~ spl1_32 ),
    inference(superposition,[],[f186,f262]) ).

fof(f262,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl1_32 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f867,plain,
    ( spl1_78
    | ~ spl1_30 ),
    inference(avatar_split_clause,[],[f866,f248,f794]) ).

fof(f866,plain,
    ( identity = sk_c2
    | ~ spl1_30 ),
    inference(forward_demodulation,[],[f835,f2]) ).

fof(f835,plain,
    ( sk_c2 = multiply(inverse(sk_c10),sk_c10)
    | ~ spl1_30 ),
    inference(superposition,[],[f186,f250]) ).

fof(f250,plain,
    ( sk_c10 = multiply(sk_c10,sk_c2)
    | ~ spl1_30 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f859,plain,
    ( spl1_82
    | ~ spl1_20
    | ~ spl1_28 ),
    inference(avatar_split_clause,[],[f854,f226,f157,f856]) ).

fof(f854,plain,
    ( sk_c3 = multiply(sk_c10,identity)
    | ~ spl1_20
    | ~ spl1_28 ),
    inference(forward_demodulation,[],[f833,f228]) ).

fof(f850,plain,
    ( spl1_35
    | ~ spl1_25
    | ~ spl1_28 ),
    inference(avatar_split_clause,[],[f849,f226,f211,f292]) ).

fof(f849,plain,
    ( sk_c10 = multiply(sk_c10,identity)
    | ~ spl1_25
    | ~ spl1_28 ),
    inference(forward_demodulation,[],[f831,f228]) ).

fof(f831,plain,
    ( sk_c10 = multiply(inverse(sk_c10),identity)
    | ~ spl1_25 ),
    inference(superposition,[],[f186,f213]) ).

fof(f373,plain,
    ( spl1_42
    | ~ spl1_4
    | ~ spl1_25 ),
    inference(avatar_split_clause,[],[f362,f211,f58,f370]) ).

fof(f370,plain,
    ( spl1_42
  <=> multiply(sk_c4,sk_c10) = multiply(sk_c3,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).

fof(f362,plain,
    ( multiply(sk_c4,sk_c10) = multiply(sk_c3,identity)
    | ~ spl1_4
    | ~ spl1_25 ),
    inference(superposition,[],[f178,f213]) ).

fof(f178,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,multiply(sk_c10,X0))
    | ~ spl1_4 ),
    inference(superposition,[],[f3,f60]) ).

fof(f350,plain,
    ( ~ spl1_29
    | ~ spl1_17
    | ~ spl1_24
    | ~ spl1_25
    | ~ spl1_28 ),
    inference(avatar_split_clause,[],[f349,f226,f211,f202,f141,f239]) ).

fof(f141,plain,
    ( spl1_17
  <=> ! [X7] :
        ( sk_c8 != multiply(inverse(X7),sk_c9)
        | sk_c8 != multiply(X7,inverse(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).

fof(f349,plain,
    ( identity != sk_c8
    | ~ spl1_17
    | ~ spl1_24
    | ~ spl1_25
    | ~ spl1_28 ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f348,plain,
    ( identity != sk_c8
    | identity != sk_c8
    | ~ spl1_17
    | ~ spl1_24
    | ~ spl1_25
    | ~ spl1_28 ),
    inference(forward_demodulation,[],[f347,f213]) ).

fof(f347,plain,
    ( sk_c8 != multiply(sk_c10,sk_c10)
    | identity != sk_c8
    | ~ spl1_17
    | ~ spl1_24
    | ~ spl1_28 ),
    inference(forward_demodulation,[],[f326,f228]) ).

fof(f326,plain,
    ( identity != sk_c8
    | sk_c8 != multiply(sk_c10,inverse(sk_c10))
    | ~ spl1_17
    | ~ spl1_24 ),
    inference(superposition,[],[f321,f2]) ).

fof(f321,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(inverse(X7),sk_c10)
        | sk_c8 != multiply(X7,inverse(X7)) )
    | ~ spl1_17
    | ~ spl1_24 ),
    inference(forward_demodulation,[],[f142,f204]) ).

fof(f142,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(inverse(X7),sk_c9)
        | sk_c8 != multiply(X7,inverse(X7)) )
    | ~ spl1_17 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f339,plain,
    ( ~ spl1_6
    | ~ spl1_7
    | ~ spl1_17
    | ~ spl1_24
    | ~ spl1_26 ),
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f338,plain,
    ( $false
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_17
    | ~ spl1_24
    | ~ spl1_26 ),
    inference(subsumption_resolution,[],[f337,f70]) ).

fof(f70,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f68,plain,
    ( spl1_6
  <=> sk_c8 = multiply(sk_c5,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f337,plain,
    ( sk_c8 != multiply(sk_c5,sk_c6)
    | ~ spl1_7
    | ~ spl1_17
    | ~ spl1_24
    | ~ spl1_26 ),
    inference(subsumption_resolution,[],[f324,f218]) ).

fof(f218,plain,
    ( sk_c8 = multiply(sk_c6,sk_c10)
    | ~ spl1_26 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl1_26
  <=> sk_c8 = multiply(sk_c6,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).

fof(f324,plain,
    ( sk_c8 != multiply(sk_c6,sk_c10)
    | sk_c8 != multiply(sk_c5,sk_c6)
    | ~ spl1_7
    | ~ spl1_17
    | ~ spl1_24 ),
    inference(superposition,[],[f321,f75]) ).

fof(f75,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl1_7
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f297,plain,
    ( ~ spl1_35
    | ~ spl1_16
    | ~ spl1_24
    | ~ spl1_25
    | ~ spl1_28 ),
    inference(avatar_split_clause,[],[f296,f226,f211,f202,f138,f292]) ).

fof(f138,plain,
    ( spl1_16
  <=> ! [X4] :
        ( sk_c10 != inverse(X4)
        | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).

fof(f296,plain,
    ( sk_c10 != multiply(sk_c10,identity)
    | ~ spl1_16
    | ~ spl1_24
    | ~ spl1_25
    | ~ spl1_28 ),
    inference(subsumption_resolution,[],[f272,f228]) ).

fof(f272,plain,
    ( sk_c10 != multiply(sk_c10,identity)
    | sk_c10 != inverse(sk_c10)
    | ~ spl1_16
    | ~ spl1_24
    | ~ spl1_25 ),
    inference(superposition,[],[f245,f213]) ).

fof(f245,plain,
    ( ! [X4] :
        ( sk_c10 != multiply(sk_c10,multiply(X4,sk_c10))
        | sk_c10 != inverse(X4) )
    | ~ spl1_16
    | ~ spl1_24 ),
    inference(forward_demodulation,[],[f139,f204]) ).

fof(f139,plain,
    ( ! [X4] :
        ( sk_c10 != inverse(X4)
        | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10)) )
    | ~ spl1_16 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f263,plain,
    ( spl1_32
    | ~ spl1_13 ),
    inference(avatar_split_clause,[],[f258,f117,f260]) ).

fof(f258,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl1_13 ),
    inference(superposition,[],[f2,f119]) ).

fof(f251,plain,
    ( spl1_30
    | ~ spl1_11
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f246,f202,f93,f248]) ).

fof(f93,plain,
    ( spl1_11
  <=> sk_c9 = multiply(sk_c10,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).

fof(f246,plain,
    ( sk_c10 = multiply(sk_c10,sk_c2)
    | ~ spl1_11
    | ~ spl1_24 ),
    inference(forward_demodulation,[],[f95,f204]) ).

fof(f95,plain,
    ( sk_c9 = multiply(sk_c10,sk_c2)
    | ~ spl1_11 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f244,plain,
    ( sk_c10 != multiply(sk_c8,sk_c9)
    | sP0(multiply(sk_c8,sk_c9))
    | ~ sP0(sk_c10) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f242,plain,
    ( spl1_29
    | ~ spl1_10
    | ~ spl1_22
    | ~ spl1_25 ),
    inference(avatar_split_clause,[],[f237,f211,f167,f88,f239]) ).

fof(f88,plain,
    ( spl1_10
  <=> sk_c10 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f167,plain,
    ( spl1_22
  <=> identity = multiply(sk_c10,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).

fof(f237,plain,
    ( identity = sk_c8
    | ~ spl1_10
    | ~ spl1_22
    | ~ spl1_25 ),
    inference(forward_demodulation,[],[f235,f213]) ).

fof(f235,plain,
    ( sk_c8 = multiply(sk_c10,sk_c10)
    | ~ spl1_10
    | ~ spl1_22 ),
    inference(superposition,[],[f188,f90]) ).

fof(f90,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f188,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
    | ~ spl1_22 ),
    inference(forward_demodulation,[],[f176,f1]) ).

fof(f176,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
    | ~ spl1_22 ),
    inference(superposition,[],[f3,f169]) ).

fof(f169,plain,
    ( identity = multiply(sk_c10,sk_c7)
    | ~ spl1_22 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f219,plain,
    ( spl1_26
    | ~ spl1_8
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f207,f202,f78,f216]) ).

fof(f78,plain,
    ( spl1_8
  <=> sk_c8 = multiply(sk_c6,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f207,plain,
    ( sk_c8 = multiply(sk_c6,sk_c10)
    | ~ spl1_8
    | ~ spl1_24 ),
    inference(backward_demodulation,[],[f80,f204]) ).

fof(f80,plain,
    ( sk_c8 = multiply(sk_c6,sk_c9)
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f214,plain,
    ( spl1_25
    | ~ spl1_19
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f206,f202,f152,f211]) ).

fof(f152,plain,
    ( spl1_19
  <=> identity = multiply(sk_c9,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).

fof(f206,plain,
    ( identity = multiply(sk_c10,sk_c10)
    | ~ spl1_19
    | ~ spl1_24 ),
    inference(backward_demodulation,[],[f154,f204]) ).

fof(f154,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl1_19 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f205,plain,
    ( spl1_24
    | ~ spl1_3
    | ~ spl1_23 ),
    inference(avatar_split_clause,[],[f199,f194,f53,f202]) ).

fof(f53,plain,
    ( spl1_3
  <=> sk_c9 = multiply(sk_c10,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f199,plain,
    ( sk_c10 = sk_c9
    | ~ spl1_3
    | ~ spl1_23 ),
    inference(backward_demodulation,[],[f55,f196]) ).

fof(f55,plain,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f197,plain,
    ( spl1_23
    | ~ spl1_4
    | ~ spl1_20 ),
    inference(avatar_split_clause,[],[f191,f157,f58,f194]) ).

fof(f191,plain,
    ( sk_c10 = multiply(sk_c10,sk_c4)
    | ~ spl1_4
    | ~ spl1_20 ),
    inference(superposition,[],[f187,f60]) ).

fof(f170,plain,
    ( spl1_22
    | ~ spl1_9 ),
    inference(avatar_split_clause,[],[f150,f83,f167]) ).

fof(f83,plain,
    ( spl1_9
  <=> sk_c10 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f150,plain,
    ( identity = multiply(sk_c10,sk_c7)
    | ~ spl1_9 ),
    inference(superposition,[],[f2,f85]) ).

fof(f85,plain,
    ( sk_c10 = inverse(sk_c7)
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f155,plain,
    ( spl1_19
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f147,f44,f152]) ).

fof(f147,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl1_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f146,plain,
    ( ~ spl1_1
    | spl1_15
    | spl1_16
    | spl1_16
    | spl1_17
    | spl1_18 ),
    inference(avatar_split_clause,[],[f42,f144,f141,f138,f138,f134,f44]) ).

fof(f134,plain,
    ( spl1_15
  <=> sP0(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).

fof(f42,plain,
    ! [X6,X9,X7,X4] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(inverse(X7),sk_c9)
      | sk_c8 != multiply(X7,inverse(X7))
      | sk_c10 != inverse(X6)
      | sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
      | sP0(sk_c10)
      | inverse(sk_c10) != sk_c9 ),
    inference(equality_resolution,[],[f41]) ).

fof(f41,plain,
    ! [X3,X6,X9,X7,X4] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(inverse(X7),sk_c9)
      | sk_c8 != multiply(X7,inverse(X7))
      | sk_c10 != inverse(X6)
      | sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
      | sk_c10 != inverse(X4)
      | multiply(X4,sk_c10) != X3
      | sk_c9 != multiply(sk_c10,X3)
      | sP0(sk_c10)
      | inverse(sk_c10) != sk_c9 ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,plain,
    ! [X3,X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(inverse(X7),sk_c9)
      | sk_c8 != multiply(X7,inverse(X7))
      | sk_c10 != inverse(X6)
      | multiply(X6,sk_c10) != X5
      | sk_c9 != multiply(sk_c10,X5)
      | sk_c10 != inverse(X4)
      | multiply(X4,sk_c10) != X3
      | sk_c9 != multiply(sk_c10,X3)
      | sP0(sk_c10)
      | inverse(sk_c10) != sk_c9 ),
    inference(equality_resolution,[],[f39]) ).

fof(f39,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(X8,sk_c9)
      | inverse(X7) != X8
      | sk_c8 != multiply(X7,X8)
      | sk_c10 != inverse(X6)
      | multiply(X6,sk_c10) != X5
      | sk_c9 != multiply(sk_c10,X5)
      | sk_c10 != inverse(X4)
      | multiply(X4,sk_c10) != X3
      | sk_c9 != multiply(sk_c10,X3)
      | sP0(sk_c10)
      | inverse(sk_c10) != sk_c9 ),
    inference(inequality_splitting,[],[f37,f38]) ).

fof(f38,plain,
    ~ sP0(multiply(sk_c8,sk_c9)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f37,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(X8,sk_c9)
      | inverse(X7) != X8
      | sk_c8 != multiply(X7,X8)
      | sk_c10 != inverse(X6)
      | multiply(X6,sk_c10) != X5
      | sk_c9 != multiply(sk_c10,X5)
      | sk_c10 != inverse(X4)
      | multiply(X4,sk_c10) != X3
      | sk_c9 != multiply(sk_c10,X3)
      | sk_c10 != multiply(sk_c8,sk_c9)
      | inverse(sk_c10) != sk_c9 ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_34) ).

fof(f132,plain,
    ~ spl1_14,
    inference(avatar_split_clause,[],[f38,f129]) ).

fof(f129,plain,
    ( spl1_14
  <=> sP0(multiply(sk_c8,sk_c9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).

fof(f122,plain,
    ( spl1_13
    | spl1_5 ),
    inference(avatar_split_clause,[],[f31,f63,f117]) ).

fof(f31,axiom,
    ( sk_c10 = inverse(sk_c3)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_28) ).

fof(f121,plain,
    ( spl1_13
    | spl1_4 ),
    inference(avatar_split_clause,[],[f30,f58,f117]) ).

fof(f30,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_27) ).

fof(f120,plain,
    ( spl1_13
    | spl1_3 ),
    inference(avatar_split_clause,[],[f29,f53,f117]) ).

fof(f29,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_26) ).

fof(f110,plain,
    ( spl1_12
    | spl1_5 ),
    inference(avatar_split_clause,[],[f23,f63,f105]) ).

fof(f23,axiom,
    ( sk_c10 = inverse(sk_c3)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_20) ).

fof(f109,plain,
    ( spl1_12
    | spl1_4 ),
    inference(avatar_split_clause,[],[f22,f58,f105]) ).

fof(f22,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_19) ).

fof(f108,plain,
    ( spl1_12
    | spl1_3 ),
    inference(avatar_split_clause,[],[f21,f53,f105]) ).

fof(f21,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_18) ).

fof(f103,plain,
    ( spl1_11
    | spl1_10 ),
    inference(avatar_split_clause,[],[f20,f88,f93]) ).

fof(f20,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_17) ).

fof(f102,plain,
    ( spl1_11
    | spl1_9 ),
    inference(avatar_split_clause,[],[f19,f83,f93]) ).

fof(f19,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_16) ).

fof(f101,plain,
    ( spl1_11
    | spl1_8 ),
    inference(avatar_split_clause,[],[f18,f78,f93]) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c6,sk_c9)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_15) ).

fof(f100,plain,
    ( spl1_11
    | spl1_7 ),
    inference(avatar_split_clause,[],[f17,f73,f93]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_14) ).

fof(f99,plain,
    ( spl1_11
    | spl1_6 ),
    inference(avatar_split_clause,[],[f16,f68,f93]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_13) ).

fof(f98,plain,
    ( spl1_11
    | spl1_5 ),
    inference(avatar_split_clause,[],[f15,f63,f93]) ).

fof(f15,axiom,
    ( sk_c10 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_12) ).

fof(f97,plain,
    ( spl1_11
    | spl1_4 ),
    inference(avatar_split_clause,[],[f14,f58,f93]) ).

fof(f14,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_11) ).

fof(f96,plain,
    ( spl1_11
    | spl1_3 ),
    inference(avatar_split_clause,[],[f13,f53,f93]) ).

fof(f13,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_10) ).

fof(f91,plain,
    ( spl1_2
    | spl1_10 ),
    inference(avatar_split_clause,[],[f12,f88,f49]) ).

fof(f12,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c10 = multiply(sk_c8,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_9) ).

fof(f86,plain,
    ( spl1_2
    | spl1_9 ),
    inference(avatar_split_clause,[],[f11,f83,f49]) ).

fof(f11,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c10 = multiply(sk_c8,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_8) ).

fof(f66,plain,
    ( spl1_2
    | spl1_5 ),
    inference(avatar_split_clause,[],[f7,f63,f49]) ).

fof(f7,axiom,
    ( sk_c10 = inverse(sk_c3)
    | sk_c10 = multiply(sk_c8,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_4) ).

fof(f56,plain,
    ( spl1_2
    | spl1_3 ),
    inference(avatar_split_clause,[],[f5,f53,f49]) ).

fof(f5,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | sk_c10 = multiply(sk_c8,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_2) ).

fof(f47,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f4,f44]) ).

fof(f4,axiom,
    inverse(sk_c10) = sk_c9,
    file('/export/starexec/sandbox2/tmp/tmp.FmhmCqfDe8/Vampire---4.8_15517',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP388-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:48:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36  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.FmhmCqfDe8/Vampire---4.8_15517
% 0.57/0.78  % (15879)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)
% 0.57/0.78  % (15872)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)
% 0.57/0.78  % (15874)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.78  % (15873)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)
% 0.57/0.78  % (15875)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)
% 0.57/0.78  % (15876)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)
% 0.57/0.78  % (15877)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)
% 0.57/0.78  % (15879)Refutation not found, incomplete strategy% (15879)------------------------------
% 0.57/0.78  % (15879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (15879)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (15879)Memory used [KB]: 993
% 0.57/0.78  % (15879)Time elapsed: 0.002 s
% 0.57/0.78  % (15879)Instructions burned: 4 (million)
% 0.57/0.78  % (15878)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)
% 0.57/0.78  % (15879)------------------------------
% 0.57/0.78  % (15879)------------------------------
% 0.57/0.78  % (15872)Refutation not found, incomplete strategy% (15872)------------------------------
% 0.57/0.78  % (15872)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (15872)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (15872)Memory used [KB]: 1009
% 0.57/0.78  % (15872)Time elapsed: 0.004 s
% 0.57/0.78  % (15872)Instructions burned: 4 (million)
% 0.57/0.78  % (15876)Refutation not found, incomplete strategy% (15876)------------------------------
% 0.57/0.78  % (15876)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (15876)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  % (15875)Refutation not found, incomplete strategy% (15875)------------------------------
% 0.57/0.78  % (15875)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (15875)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (15875)Memory used [KB]: 991
% 0.57/0.78  % (15875)Time elapsed: 0.004 s
% 0.57/0.78  % (15875)Instructions burned: 4 (million)
% 0.57/0.78  
% 0.57/0.78  % (15876)Memory used [KB]: 1008
% 0.57/0.78  % (15876)Time elapsed: 0.004 s
% 0.57/0.78  % (15876)Instructions burned: 4 (million)
% 0.57/0.78  % (15872)------------------------------
% 0.57/0.78  % (15872)------------------------------
% 0.57/0.78  % (15875)------------------------------
% 0.57/0.78  % (15875)------------------------------
% 0.57/0.78  % (15876)------------------------------
% 0.57/0.78  % (15876)------------------------------
% 0.57/0.78  % (15883)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)
% 0.57/0.78  % (15874)Refutation not found, incomplete strategy% (15874)------------------------------
% 0.57/0.78  % (15874)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (15874)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (15874)Memory used [KB]: 1067
% 0.57/0.78  % (15874)Time elapsed: 0.005 s
% 0.57/0.78  % (15874)Instructions burned: 7 (million)
% 0.57/0.78  % (15874)------------------------------
% 0.57/0.78  % (15874)------------------------------
% 0.57/0.78  % (15878)Refutation not found, incomplete strategy% (15878)------------------------------
% 0.57/0.78  % (15878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (15878)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (15878)Memory used [KB]: 1083
% 0.57/0.78  % (15878)Time elapsed: 0.006 s
% 0.57/0.78  % (15878)Instructions burned: 7 (million)
% 0.57/0.78  % (15878)------------------------------
% 0.57/0.78  % (15878)------------------------------
% 0.57/0.78  % (15883)Refutation not found, incomplete strategy% (15883)------------------------------
% 0.57/0.78  % (15883)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (15883)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (15883)Memory used [KB]: 1069
% 0.57/0.78  % (15883)Time elapsed: 0.003 s
% 0.57/0.78  % (15883)Instructions burned: 7 (million)
% 0.57/0.78  % (15883)------------------------------
% 0.57/0.78  % (15883)------------------------------
% 0.57/0.78  % (15885)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)
% 0.57/0.78  % (15886)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)
% 0.57/0.78  % (15887)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)
% 0.57/0.78  % (15889)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)
% 0.57/0.78  % (15891)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)
% 0.57/0.79  % (15890)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)
% 0.57/0.79  % (15885)Refutation not found, incomplete strategy% (15885)------------------------------
% 0.57/0.79  % (15885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (15885)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79  
% 0.57/0.79  % (15885)Memory used [KB]: 997
% 0.57/0.79  % (15885)Time elapsed: 0.004 s
% 0.57/0.79  % (15885)Instructions burned: 6 (million)
% 0.57/0.79  % (15885)------------------------------
% 0.57/0.79  % (15885)------------------------------
% 0.57/0.79  % (15887)Refutation not found, incomplete strategy% (15887)------------------------------
% 0.57/0.79  % (15887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (15887)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79  
% 0.57/0.79  % (15887)Memory used [KB]: 1067
% 0.57/0.79  % (15887)Time elapsed: 0.005 s
% 0.57/0.79  % (15887)Instructions burned: 7 (million)
% 0.57/0.79  % (15887)------------------------------
% 0.57/0.79  % (15887)------------------------------
% 0.57/0.79  % (15890)Refutation not found, incomplete strategy% (15890)------------------------------
% 0.57/0.79  % (15890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (15890)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79  
% 0.57/0.79  % (15890)Memory used [KB]: 1007
% 0.57/0.79  % (15890)Time elapsed: 0.004 s
% 0.57/0.79  % (15890)Instructions burned: 4 (million)
% 0.57/0.79  % (15890)------------------------------
% 0.57/0.79  % (15890)------------------------------
% 0.68/0.79  % (15892)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)
% 0.68/0.79  % (15894)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)
% 0.68/0.79  % (15895)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)
% 0.68/0.79  % (15892)Refutation not found, incomplete strategy% (15892)------------------------------
% 0.68/0.79  % (15892)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (15892)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79  
% 0.68/0.79  % (15892)Memory used [KB]: 994
% 0.68/0.79  % (15892)Time elapsed: 0.003 s
% 0.68/0.79  % (15892)Instructions burned: 4 (million)
% 0.68/0.79  % (15892)------------------------------
% 0.68/0.79  % (15892)------------------------------
% 0.68/0.79  % (15894)Refutation not found, incomplete strategy% (15894)------------------------------
% 0.68/0.79  % (15894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (15894)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79  
% 0.68/0.79  % (15894)Memory used [KB]: 1011
% 0.68/0.79  % (15894)Time elapsed: 0.005 s
% 0.68/0.79  % (15894)Instructions burned: 4 (million)
% 0.68/0.79  % (15894)------------------------------
% 0.68/0.79  % (15894)------------------------------
% 0.68/0.80  % (15898)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)
% 0.68/0.80  % (15877)Instruction limit reached!
% 0.68/0.80  % (15877)------------------------------
% 0.68/0.80  % (15877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (15877)Termination reason: Unknown
% 0.68/0.80  % (15877)Termination phase: Saturation
% 0.68/0.80  
% 0.68/0.80  % (15877)Memory used [KB]: 1627
% 0.68/0.80  % (15877)Time elapsed: 0.023 s
% 0.68/0.80  % (15877)Instructions burned: 45 (million)
% 0.68/0.80  % (15877)------------------------------
% 0.68/0.80  % (15877)------------------------------
% 0.68/0.80  % (15899)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)
% 0.68/0.80  % (15898)Refutation not found, incomplete strategy% (15898)------------------------------
% 0.68/0.80  % (15898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (15898)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.80  
% 0.68/0.80  % (15898)Memory used [KB]: 993
% 0.68/0.80  % (15898)Time elapsed: 0.004 s
% 0.68/0.80  % (15898)Instructions burned: 3 (million)
% 0.68/0.80  % (15898)------------------------------
% 0.68/0.80  % (15898)------------------------------
% 0.68/0.80  % (15901)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)
% 0.68/0.80  % (15873)Instruction limit reached!
% 0.68/0.80  % (15873)------------------------------
% 0.68/0.80  % (15873)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (15873)Termination reason: Unknown
% 0.68/0.80  % (15873)Termination phase: Saturation
% 0.68/0.80  
% 0.68/0.80  % (15873)Memory used [KB]: 1646
% 0.68/0.80  % (15873)Time elapsed: 0.029 s
% 0.68/0.80  % (15873)Instructions burned: 51 (million)
% 0.68/0.80  % (15873)------------------------------
% 0.68/0.80  % (15873)------------------------------
% 0.68/0.80  % (15902)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)
% 0.68/0.81  % (15901)Refutation not found, incomplete strategy% (15901)------------------------------
% 0.68/0.81  % (15901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (15901)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.81  
% 0.68/0.81  % (15901)Memory used [KB]: 1068
% 0.68/0.81  % (15901)Time elapsed: 0.006 s
% 0.68/0.81  % (15901)Instructions burned: 7 (million)
% 0.68/0.81  % (15901)------------------------------
% 0.68/0.81  % (15901)------------------------------
% 0.68/0.81  % (15902)Refutation not found, incomplete strategy% (15902)------------------------------
% 0.68/0.81  % (15902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (15902)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.81  
% 0.68/0.81  % (15902)Memory used [KB]: 1011
% 0.68/0.81  % (15902)Time elapsed: 0.004 s
% 0.68/0.81  % (15902)Instructions burned: 5 (million)
% 0.68/0.81  % (15902)------------------------------
% 0.68/0.81  % (15902)------------------------------
% 0.68/0.81  % (15906)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)
% 0.68/0.81  % (15909)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)
% 0.68/0.81  % (15910)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)
% 0.68/0.81  % (15909)Refutation not found, incomplete strategy% (15909)------------------------------
% 0.68/0.81  % (15909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (15909)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.81  
% 0.68/0.81  % (15909)Memory used [KB]: 1063
% 0.68/0.81  % (15909)Time elapsed: 0.004 s
% 0.68/0.81  % (15909)Instructions burned: 4 (million)
% 0.68/0.81  % (15909)------------------------------
% 0.68/0.81  % (15909)------------------------------
% 0.68/0.81  % (15899)Instruction limit reached!
% 0.68/0.81  % (15899)------------------------------
% 0.68/0.81  % (15899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (15899)Termination reason: Unknown
% 0.68/0.81  % (15899)Termination phase: Saturation
% 0.68/0.81  
% 0.68/0.81  % (15899)Memory used [KB]: 1392
% 0.68/0.81  % (15899)Time elapsed: 0.017 s
% 0.68/0.81  % (15899)Instructions burned: 33 (million)
% 0.68/0.81  % (15899)------------------------------
% 0.68/0.81  % (15899)------------------------------
% 0.68/0.82  % (15910)Refutation not found, incomplete strategy% (15910)------------------------------
% 0.68/0.82  % (15910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82  % (15910)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.82  
% 0.68/0.82  % (15910)Memory used [KB]: 1086
% 0.68/0.82  % (15910)Time elapsed: 0.006 s
% 0.68/0.82  % (15910)Instructions burned: 7 (million)
% 0.68/0.82  % (15910)------------------------------
% 0.68/0.82  % (15910)------------------------------
% 0.68/0.82  % (15916)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)
% 0.68/0.82  % (15918)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)
% 0.68/0.82  % (15920)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)
% 0.68/0.83  % (15906)Refutation not found, incomplete strategy% (15906)------------------------------
% 0.68/0.83  % (15906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (15906)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.83  
% 0.68/0.83  % (15906)Memory used [KB]: 1130
% 0.68/0.83  % (15906)Time elapsed: 0.023 s
% 0.68/0.83  % (15906)Instructions burned: 45 (million)
% 0.68/0.83  % (15906)------------------------------
% 0.68/0.83  % (15906)------------------------------
% 0.68/0.83  % (15932)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)
% 0.68/0.83  % (15916)Instruction limit reached!
% 0.68/0.83  % (15916)------------------------------
% 0.68/0.83  % (15916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (15916)Termination reason: Unknown
% 0.68/0.83  % (15916)Termination phase: Saturation
% 0.68/0.83  
% 0.68/0.83  % (15916)Memory used [KB]: 1179
% 0.68/0.83  % (15916)Time elapsed: 0.019 s
% 0.68/0.83  % (15916)Instructions burned: 35 (million)
% 0.68/0.83  % (15916)------------------------------
% 0.68/0.83  % (15916)------------------------------
% 0.68/0.84  % (15932)Refutation not found, incomplete strategy% (15932)------------------------------
% 0.68/0.84  % (15932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (15932)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.84  
% 0.68/0.84  % (15932)Memory used [KB]: 989
% 0.68/0.84  % (15932)Time elapsed: 0.003 s
% 0.68/0.84  % (15932)Instructions burned: 4 (million)
% 0.68/0.84  % (15932)------------------------------
% 0.68/0.84  % (15932)------------------------------
% 0.68/0.84  % (15937)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)
% 0.68/0.84  % (15895)Instruction limit reached!
% 0.68/0.84  % (15895)------------------------------
% 0.68/0.84  % (15895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (15895)Termination reason: Unknown
% 0.68/0.84  % (15895)Termination phase: Saturation
% 0.68/0.84  
% 0.68/0.84  % (15895)Memory used [KB]: 2176
% 0.68/0.84  % (15895)Time elapsed: 0.049 s
% 0.68/0.84  % (15895)Instructions burned: 94 (million)
% 0.68/0.84  % (15895)------------------------------
% 0.68/0.84  % (15895)------------------------------
% 0.68/0.84  % (15939)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)
% 0.68/0.84  % (15937)Refutation not found, incomplete strategy% (15937)------------------------------
% 0.68/0.84  % (15937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (15937)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.84  
% 0.68/0.84  % (15937)Memory used [KB]: 1083
% 0.68/0.84  % (15937)Time elapsed: 0.004 s
% 0.68/0.84  % (15937)Instructions burned: 4 (million)
% 0.68/0.84  % (15937)------------------------------
% 0.68/0.84  % (15937)------------------------------
% 0.68/0.84  % (15943)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)
% 0.68/0.85  % (15945)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)
% 0.68/0.85  % (15891)Instruction limit reached!
% 0.68/0.85  % (15891)------------------------------
% 0.68/0.85  % (15891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85  % (15891)Termination reason: Unknown
% 0.68/0.85  % (15891)Termination phase: Saturation
% 0.68/0.85  
% 0.68/0.85  % (15891)Memory used [KB]: 2483
% 0.68/0.85  % (15891)Time elapsed: 0.070 s
% 0.68/0.85  % (15891)Instructions burned: 244 (million)
% 0.68/0.85  % (15891)------------------------------
% 0.68/0.85  % (15891)------------------------------
% 0.68/0.86  % (15949)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)
% 0.68/0.86  % (15918)Instruction limit reached!
% 0.68/0.86  % (15918)------------------------------
% 0.68/0.86  % (15918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.86  % (15918)Termination reason: Unknown
% 0.68/0.86  % (15918)Termination phase: Saturation
% 0.68/0.86  
% 0.68/0.86  % (15918)Memory used [KB]: 1543
% 0.68/0.86  % (15918)Time elapsed: 0.042 s
% 0.68/0.86  % (15918)Instructions burned: 87 (million)
% 0.68/0.86  % (15918)------------------------------
% 0.68/0.86  % (15918)------------------------------
% 0.68/0.86  % (15920)First to succeed.
% 1.03/0.86  % (15939)Instruction limit reached!
% 1.03/0.86  % (15939)------------------------------
% 1.03/0.86  % (15939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.86  % (15939)Termination reason: Unknown
% 1.03/0.86  % (15939)Termination phase: Saturation
% 1.03/0.86  
% 1.03/0.86  % (15939)Memory used [KB]: 1526
% 1.03/0.86  % (15939)Time elapsed: 0.022 s
% 1.03/0.86  % (15939)Instructions burned: 40 (million)
% 1.03/0.86  % (15939)------------------------------
% 1.03/0.86  % (15939)------------------------------
% 1.03/0.86  % (15952)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 1.03/0.86  % (15920)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15698"
% 1.03/0.86  % (15920)Refutation found. Thanks to Tanya!
% 1.03/0.86  % SZS status Unsatisfiable for Vampire---4
% 1.03/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 1.03/0.87  % (15920)------------------------------
% 1.03/0.87  % (15920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.87  % (15920)Termination reason: Refutation
% 1.03/0.87  
% 1.03/0.87  % (15920)Memory used [KB]: 1642
% 1.03/0.87  % (15920)Time elapsed: 0.044 s
% 1.03/0.87  % (15920)Instructions burned: 70 (million)
% 1.03/0.87  % (15698)Success in time 0.479 s
% 1.03/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------