TSTP Solution File: GRP363-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP363-1 : 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 : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:47:32 EDT 2024

% Result   : Unsatisfiable 0.82s 0.77s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   99
% Syntax   : Number of formulae    :  281 (  11 unt;   0 def)
%            Number of atoms       :  756 ( 338 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  874 ( 399   ~; 425   |;   0   &)
%                                         (  50 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   54 (  52 usr;  51 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1038,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f48,f53,f58,f63,f68,f73,f74,f75,f76,f77,f78,f83,f84,f85,f86,f87,f88,f93,f94,f95,f96,f97,f98,f103,f108,f126,f127,f129,f165,f172,f178,f190,f242,f259,f278,f297,f300,f311,f321,f339,f357,f378,f386,f400,f438,f467,f469,f483,f500,f501,f506,f513,f516,f526,f548,f597,f608,f619,f648,f653,f659,f674,f681,f690,f700,f736,f739,f740,f745,f766,f771,f776,f785,f827,f839,f947,f955,f978,f997,f1003,f1025,f1032,f1037]) ).

fof(f1037,plain,
    ( ~ spl2_62
    | spl2_73 ),
    inference(avatar_contradiction_clause,[],[f1036]) ).

fof(f1036,plain,
    ( $false
    | ~ spl2_62
    | spl2_73 ),
    inference(subsumption_resolution,[],[f1035,f633]) ).

fof(f633,plain,
    ( identity != sk_c6
    | spl2_73 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f632,plain,
    ( spl2_73
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_73])]) ).

fof(f1035,plain,
    ( identity = sk_c6
    | ~ spl2_62 ),
    inference(forward_demodulation,[],[f1033,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',left_inverse) ).

fof(f1033,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl2_62 ),
    inference(superposition,[],[f156,f555]) ).

fof(f555,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl2_62 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f553,plain,
    ( spl2_62
  <=> sk_c6 = multiply(sk_c6,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_62])]) ).

fof(f156,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f145,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',left_identity) ).

fof(f145,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.ZlvGokQAgh/Vampire---4.8_3255',associativity) ).

fof(f1032,plain,
    ( spl2_62
    | ~ spl2_4
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f1031,f212,f50,f553]) ).

fof(f50,plain,
    ( spl2_4
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f212,plain,
    ( spl2_26
  <=> sk_c6 = multiply(sk_c2,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f1031,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl2_4
    | ~ spl2_26 ),
    inference(forward_demodulation,[],[f1029,f52]) ).

fof(f52,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f1029,plain,
    ( sk_c6 = multiply(inverse(sk_c2),sk_c6)
    | ~ spl2_26 ),
    inference(superposition,[],[f156,f214]) ).

fof(f214,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f1025,plain,
    ( spl2_18
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f1024,f50,f134]) ).

fof(f134,plain,
    ( spl2_18
  <=> identity = multiply(sk_c6,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f1024,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl2_4 ),
    inference(superposition,[],[f2,f52]) ).

fof(f1003,plain,
    ( spl2_26
    | ~ spl2_3
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f1002,f187,f45,f212]) ).

fof(f45,plain,
    ( spl2_3
  <=> sk_c7 = multiply(sk_c2,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f187,plain,
    ( spl2_23
  <=> sk_c6 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f1002,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | ~ spl2_3
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f47,f189]) ).

fof(f189,plain,
    ( sk_c6 = sk_c7
    | ~ spl2_23 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f47,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f997,plain,
    ( spl2_29
    | ~ spl2_7
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f996,f187,f65,f227]) ).

fof(f227,plain,
    ( spl2_29
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).

fof(f65,plain,
    ( spl2_7
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f996,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl2_7
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f67,f189]) ).

fof(f67,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f978,plain,
    ( spl2_62
    | ~ spl2_23
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f977,f336,f187,f553]) ).

fof(f336,plain,
    ( spl2_44
  <=> sk_c7 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_44])]) ).

fof(f977,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl2_23
    | ~ spl2_44 ),
    inference(forward_demodulation,[],[f338,f189]) ).

fof(f338,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl2_44 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f955,plain,
    ( identity != sk_c2
    | sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c6 != multiply(sk_c6,sk_c7)
    | sk_c6 != sk_c7
    | identity != multiply(sk_c6,sk_c2)
    | identity = multiply(sk_c7,identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f947,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c6 != multiply(sk_c6,sk_c7)
    | sk_c6 = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f839,plain,
    ( spl2_23
    | ~ spl2_37
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f838,f605,f275,f187]) ).

fof(f275,plain,
    ( spl2_37
  <=> sk_c5 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).

fof(f605,plain,
    ( spl2_69
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_69])]) ).

fof(f838,plain,
    ( sk_c6 = sk_c7
    | ~ spl2_37
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f276,f607]) ).

fof(f607,plain,
    ( sk_c6 = sk_c5
    | ~ spl2_69 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f276,plain,
    ( sk_c5 = sk_c7
    | ~ spl2_37 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f827,plain,
    ( identity != inverse(identity)
    | sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c6 != multiply(sk_c6,sk_c7)
    | sk_c6 != sk_c7
    | sk_c7 != inverse(identity)
    | sk_c5 = inverse(sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f785,plain,
    ( identity != inverse(sk_c2)
    | sk_c6 != inverse(sk_c2)
    | sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c6 != multiply(sk_c6,sk_c7)
    | sk_c6 != sk_c7
    | sk_c7 != inverse(identity)
    | sk_c5 = inverse(sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f776,plain,
    ( identity != inverse(sk_c2)
    | sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c6 != inverse(sk_c2)
    | sk_c6 != multiply(sk_c6,sk_c7)
    | identity = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f771,plain,
    ( identity != sk_c6
    | sk_c6 != sk_c7
    | identity = sk_c7 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f766,plain,
    ( identity != sk_c6
    | sk_c6 != sk_c7
    | sk_c7 != multiply(sk_c2,sk_c6)
    | identity = multiply(sk_c2,sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f745,plain,
    ( sk_c5 != inverse(sk_c6)
    | sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c6 != multiply(sk_c6,sk_c7)
    | sk_c6 = inverse(sk_c5) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f740,plain,
    ( multiply(sk_c6,sk_c5) != sk_c7
    | sk_c6 != sk_c7
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f739,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c6 != sk_c7
    | sk_c6 != multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f736,plain,
    ( ~ spl2_14
    | ~ spl2_68
    | ~ spl2_73
    | ~ spl2_79 ),
    inference(avatar_contradiction_clause,[],[f735]) ).

fof(f735,plain,
    ( $false
    | ~ spl2_14
    | ~ spl2_68
    | ~ spl2_73
    | ~ spl2_79 ),
    inference(subsumption_resolution,[],[f734,f673]) ).

fof(f673,plain,
    ( identity = inverse(identity)
    | ~ spl2_79 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f671,plain,
    ( spl2_79
  <=> identity = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_79])]) ).

fof(f734,plain,
    ( identity != inverse(identity)
    | ~ spl2_14
    | ~ spl2_68
    | ~ spl2_73
    | ~ spl2_79 ),
    inference(forward_demodulation,[],[f730,f673]) ).

fof(f730,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl2_14
    | ~ spl2_68
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f729]) ).

fof(f729,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl2_14
    | ~ spl2_68
    | ~ spl2_73 ),
    inference(superposition,[],[f726,f2]) ).

fof(f726,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl2_14
    | ~ spl2_68
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f725,f596]) ).

fof(f596,plain,
    ( identity = sk_c5
    | ~ spl2_68 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f594,plain,
    ( spl2_68
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_68])]) ).

fof(f725,plain,
    ( ! [X3] :
        ( sk_c5 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl2_14
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f724,f634]) ).

fof(f634,plain,
    ( identity = sk_c6
    | ~ spl2_73 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f724,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c5 != multiply(X3,sk_c6) )
    | ~ spl2_14
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f115,f634]) ).

fof(f115,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c5 != multiply(X3,sk_c6) )
    | ~ spl2_14 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl2_14
  <=> ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c5 != multiply(X3,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f700,plain,
    ( spl2_79
    | ~ spl2_75
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f699,f656,f650,f671]) ).

fof(f650,plain,
    ( spl2_75
  <=> identity = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_75])]) ).

fof(f656,plain,
    ( spl2_76
  <=> identity = sk_c1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_76])]) ).

fof(f699,plain,
    ( identity = inverse(identity)
    | ~ spl2_75
    | ~ spl2_76 ),
    inference(forward_demodulation,[],[f652,f658]) ).

fof(f658,plain,
    ( identity = sk_c1
    | ~ spl2_76 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f652,plain,
    ( identity = inverse(sk_c1)
    | ~ spl2_75 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f690,plain,
    ( spl2_81
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f685,f645,f687]) ).

fof(f687,plain,
    ( spl2_81
  <=> identity = sk_c2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_81])]) ).

fof(f645,plain,
    ( spl2_74
  <=> identity = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_74])]) ).

fof(f685,plain,
    ( identity = sk_c2
    | ~ spl2_74 ),
    inference(forward_demodulation,[],[f684,f1]) ).

fof(f684,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl2_74 ),
    inference(superposition,[],[f2,f647]) ).

fof(f647,plain,
    ( identity = inverse(sk_c2)
    | ~ spl2_74 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f681,plain,
    ( spl2_79
    | ~ spl2_70
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f680,f632,f616,f671]) ).

fof(f616,plain,
    ( spl2_70
  <=> sk_c6 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_70])]) ).

fof(f680,plain,
    ( identity = inverse(identity)
    | ~ spl2_70
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f618,f634]) ).

fof(f618,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl2_70 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f674,plain,
    ( spl2_79
    | ~ spl2_61
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f642,f632,f545,f671]) ).

fof(f545,plain,
    ( spl2_61
  <=> sk_c6 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_61])]) ).

fof(f642,plain,
    ( identity = inverse(identity)
    | ~ spl2_61
    | ~ spl2_73 ),
    inference(backward_demodulation,[],[f547,f634]) ).

fof(f547,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl2_61 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f659,plain,
    ( spl2_76
    | ~ spl2_22
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f654,f632,f175,f656]) ).

fof(f175,plain,
    ( spl2_22
  <=> identity = multiply(sk_c6,sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f654,plain,
    ( identity = sk_c1
    | ~ spl2_22
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f638,f1]) ).

fof(f638,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl2_22
    | ~ spl2_73 ),
    inference(backward_demodulation,[],[f177,f634]) ).

fof(f177,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl2_22 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f653,plain,
    ( spl2_75
    | ~ spl2_10
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f637,f632,f90,f650]) ).

fof(f90,plain,
    ( spl2_10
  <=> sk_c6 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f637,plain,
    ( identity = inverse(sk_c1)
    | ~ spl2_10
    | ~ spl2_73 ),
    inference(backward_demodulation,[],[f92,f634]) ).

fof(f92,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f648,plain,
    ( spl2_74
    | ~ spl2_4
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f636,f632,f50,f645]) ).

fof(f636,plain,
    ( identity = inverse(sk_c2)
    | ~ spl2_4
    | ~ spl2_73 ),
    inference(backward_demodulation,[],[f52,f634]) ).

fof(f619,plain,
    ( spl2_70
    | ~ spl2_8
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f609,f605,f70,f616]) ).

fof(f70,plain,
    ( spl2_8
  <=> sk_c5 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f609,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl2_8
    | ~ spl2_69 ),
    inference(backward_demodulation,[],[f72,f607]) ).

fof(f72,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f608,plain,
    ( spl2_69
    | ~ spl2_2
    | ~ spl2_38
    | ~ spl2_50 ),
    inference(avatar_split_clause,[],[f603,f397,f290,f40,f605]) ).

fof(f40,plain,
    ( spl2_2
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f290,plain,
    ( spl2_38
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).

fof(f397,plain,
    ( spl2_50
  <=> sk_c6 = multiply(sk_c6,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).

fof(f603,plain,
    ( sk_c6 = sk_c5
    | ~ spl2_2
    | ~ spl2_38
    | ~ spl2_50 ),
    inference(forward_demodulation,[],[f602,f399]) ).

fof(f399,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl2_50 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f602,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl2_2
    | ~ spl2_38 ),
    inference(forward_demodulation,[],[f42,f291]) ).

fof(f291,plain,
    ( identity = sk_c7
    | ~ spl2_38 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f42,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f597,plain,
    ( spl2_68
    | ~ spl2_37
    | ~ spl2_38 ),
    inference(avatar_split_clause,[],[f592,f290,f275,f594]) ).

fof(f592,plain,
    ( identity = sk_c5
    | ~ spl2_37
    | ~ spl2_38 ),
    inference(backward_demodulation,[],[f276,f291]) ).

fof(f548,plain,
    ( spl2_61
    | ~ spl2_29
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f543,f375,f227,f545]) ).

fof(f375,plain,
    ( spl2_48
  <=> identity = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).

fof(f543,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl2_29
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f229,f377]) ).

fof(f377,plain,
    ( identity = sk_c3
    | ~ spl2_48 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f229,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl2_29 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f526,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c6 != multiply(sk_c6,sk_c7)
    | sk_c6 != sk_c7
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f516,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c6 != multiply(sk_c6,sk_c7)
    | sk_c6 != sk_c7
    | sk_c5 = sk_c7 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f513,plain,
    ( multiply(sk_c6,sk_c5) != sk_c7
    | sk_c5 != sk_c7
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f506,plain,
    ( multiply(sk_c6,sk_c5) != sk_c7
    | sk_c5 != sk_c7
    | ~ sP0(multiply(sk_c6,sk_c7))
    | sP0(sk_c5) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f501,plain,
    ( sk_c1 != multiply(sk_c5,identity)
    | sk_c5 != multiply(sk_c5,identity)
    | sk_c5 != multiply(sk_c1,sk_c6)
    | multiply(sk_c6,sk_c5) != sk_c7
    | identity != multiply(sk_c5,sk_c6)
    | identity != multiply(sk_c6,sk_c1)
    | sk_c5 = sk_c7 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f500,plain,
    ( sk_c1 != multiply(sk_c5,identity)
    | sk_c5 != multiply(sk_c5,identity)
    | multiply(sk_c6,sk_c5) != sk_c7
    | identity != multiply(sk_c6,sk_c1)
    | identity = sk_c7 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f483,plain,
    ( spl2_57
    | ~ spl2_9
    | ~ spl2_50 ),
    inference(avatar_split_clause,[],[f478,f397,f80,f480]) ).

fof(f480,plain,
    ( spl2_57
  <=> sk_c5 = multiply(sk_c5,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_57])]) ).

fof(f80,plain,
    ( spl2_9
  <=> sk_c5 = multiply(sk_c1,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f478,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl2_9
    | ~ spl2_50 ),
    inference(forward_demodulation,[],[f473,f82]) ).

fof(f82,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f473,plain,
    ( multiply(sk_c1,sk_c6) = multiply(sk_c5,identity)
    | ~ spl2_9
    | ~ spl2_50 ),
    inference(superposition,[],[f153,f399]) ).

fof(f153,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl2_9 ),
    inference(superposition,[],[f3,f82]) ).

fof(f469,plain,
    ( sk_c1 != multiply(sk_c5,identity)
    | sk_c5 != multiply(sk_c5,sk_c7)
    | sk_c5 != multiply(sk_c1,sk_c6)
    | sk_c7 != multiply(sk_c2,sk_c6)
    | identity != multiply(sk_c5,sk_c6)
    | identity != multiply(sk_c2,sk_c6)
    | sk_c5 = sk_c7 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f467,plain,
    ( sk_c1 != multiply(sk_c5,identity)
    | sk_c5 != multiply(sk_c5,sk_c7)
    | sk_c5 != multiply(sk_c1,sk_c6)
    | sk_c7 != multiply(sk_c2,sk_c6)
    | identity != multiply(sk_c5,sk_c6)
    | identity != multiply(sk_c2,sk_c6)
    | sk_c7 = multiply(sk_c5,sk_c5) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f438,plain,
    ( spl2_2
    | ~ spl2_1
    | ~ spl2_41
    | ~ spl2_46 ),
    inference(avatar_split_clause,[],[f437,f354,f313,f36,f40]) ).

fof(f36,plain,
    ( spl2_1
  <=> multiply(sk_c6,sk_c5) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f313,plain,
    ( spl2_41
  <=> sk_c7 = multiply(sk_c5,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).

fof(f354,plain,
    ( spl2_46
  <=> identity = multiply(sk_c7,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_46])]) ).

fof(f437,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl2_1
    | ~ spl2_41
    | ~ spl2_46 ),
    inference(forward_demodulation,[],[f342,f362]) ).

fof(f362,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl2_46 ),
    inference(forward_demodulation,[],[f361,f1]) ).

fof(f361,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl2_46 ),
    inference(superposition,[],[f3,f356]) ).

fof(f356,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl2_46 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f342,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c5)
    | ~ spl2_1
    | ~ spl2_41 ),
    inference(superposition,[],[f146,f315]) ).

fof(f315,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | ~ spl2_41 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f146,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
    | ~ spl2_1 ),
    inference(superposition,[],[f3,f38]) ).

fof(f38,plain,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f400,plain,
    ( spl2_50
    | ~ spl2_1
    | ~ spl2_21
    | ~ spl2_46 ),
    inference(avatar_split_clause,[],[f392,f354,f169,f36,f397]) ).

fof(f169,plain,
    ( spl2_21
  <=> identity = multiply(sk_c5,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f392,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl2_1
    | ~ spl2_21
    | ~ spl2_46 ),
    inference(superposition,[],[f363,f171]) ).

fof(f171,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl2_21 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f363,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl2_1
    | ~ spl2_46 ),
    inference(backward_demodulation,[],[f146,f362]) ).

fof(f386,plain,
    ( spl2_32
    | ~ spl2_7
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f385,f375,f65,f252]) ).

fof(f252,plain,
    ( spl2_32
  <=> sk_c7 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f385,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl2_7
    | ~ spl2_48 ),
    inference(backward_demodulation,[],[f67,f377]) ).

fof(f378,plain,
    ( spl2_48
    | ~ spl2_19
    | ~ spl2_46 ),
    inference(avatar_split_clause,[],[f366,f354,f139,f375]) ).

fof(f139,plain,
    ( spl2_19
  <=> identity = multiply(sk_c7,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f366,plain,
    ( identity = sk_c3
    | ~ spl2_19
    | ~ spl2_46 ),
    inference(backward_demodulation,[],[f141,f362]) ).

fof(f141,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f357,plain,
    ( spl2_46
    | ~ spl2_1
    | ~ spl2_22
    | ~ spl2_42 ),
    inference(avatar_split_clause,[],[f352,f318,f175,f36,f354]) ).

fof(f318,plain,
    ( spl2_42
  <=> sk_c1 = multiply(sk_c5,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).

fof(f352,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl2_1
    | ~ spl2_22
    | ~ spl2_42 ),
    inference(forward_demodulation,[],[f350,f177]) ).

fof(f350,plain,
    ( multiply(sk_c6,sk_c1) = multiply(sk_c7,identity)
    | ~ spl2_1
    | ~ spl2_42 ),
    inference(superposition,[],[f146,f320]) ).

fof(f320,plain,
    ( sk_c1 = multiply(sk_c5,identity)
    | ~ spl2_42 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f339,plain,
    ( spl2_44
    | ~ spl2_1
    | ~ spl2_40 ),
    inference(avatar_split_clause,[],[f334,f308,f36,f336]) ).

fof(f308,plain,
    ( spl2_40
  <=> sk_c5 = multiply(sk_c5,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).

fof(f334,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl2_1
    | ~ spl2_40 ),
    inference(forward_demodulation,[],[f326,f38]) ).

fof(f326,plain,
    ( multiply(sk_c6,sk_c5) = multiply(sk_c7,sk_c7)
    | ~ spl2_1
    | ~ spl2_40 ),
    inference(superposition,[],[f146,f310]) ).

fof(f310,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl2_40 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f321,plain,
    ( spl2_42
    | ~ spl2_21
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f305,f175,f169,f318]) ).

fof(f305,plain,
    ( sk_c1 = multiply(sk_c5,identity)
    | ~ spl2_21
    | ~ spl2_22 ),
    inference(superposition,[],[f180,f177]) ).

fof(f180,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl2_21 ),
    inference(forward_demodulation,[],[f179,f1]) ).

fof(f179,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl2_21 ),
    inference(superposition,[],[f3,f171]) ).

fof(f311,plain,
    ( spl2_40
    | ~ spl2_1
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f303,f169,f36,f308]) ).

fof(f303,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl2_1
    | ~ spl2_21 ),
    inference(superposition,[],[f180,f38]) ).

fof(f300,plain,
    ( ~ spl2_37
    | ~ spl2_9
    | ~ spl2_10
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f299,f121,f90,f80,f275]) ).

fof(f121,plain,
    ( spl2_16
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f299,plain,
    ( sk_c5 != sk_c7
    | ~ spl2_9
    | ~ spl2_10
    | ~ spl2_16 ),
    inference(subsumption_resolution,[],[f286,f92]) ).

fof(f286,plain,
    ( sk_c5 != sk_c7
    | sk_c6 != inverse(sk_c1)
    | ~ spl2_9
    | ~ spl2_16 ),
    inference(superposition,[],[f122,f82]) ).

fof(f122,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f297,plain,
    ( ~ spl2_38
    | ~ spl2_39
    | ~ spl2_8
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f288,f121,f70,f294,f290]) ).

fof(f294,plain,
    ( spl2_39
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).

fof(f288,plain,
    ( sk_c6 != inverse(sk_c5)
    | identity != sk_c7
    | ~ spl2_8
    | ~ spl2_16 ),
    inference(forward_demodulation,[],[f283,f72]) ).

fof(f283,plain,
    ( identity != sk_c7
    | sk_c6 != inverse(inverse(sk_c6))
    | ~ spl2_16 ),
    inference(superposition,[],[f122,f2]) ).

fof(f278,plain,
    ( ~ spl2_36
    | ~ spl2_37
    | ~ spl2_2
    | ~ spl2_8
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f269,f124,f70,f40,f275,f271]) ).

fof(f271,plain,
    ( spl2_36
  <=> sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).

fof(f124,plain,
    ( spl2_17
  <=> ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f269,plain,
    ( sk_c5 != sk_c7
    | sk_c6 != multiply(sk_c7,sk_c5)
    | ~ spl2_2
    | ~ spl2_8
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f250,f72]) ).

fof(f250,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | sk_c7 != inverse(sk_c6)
    | ~ spl2_2
    | ~ spl2_17 ),
    inference(superposition,[],[f125,f42]) ).

fof(f125,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != inverse(X6) )
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f259,plain,
    ( ~ spl2_32
    | ~ spl2_33
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f247,f124,f256,f252]) ).

fof(f256,plain,
    ( spl2_33
  <=> sk_c6 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).

fof(f247,plain,
    ( sk_c6 != multiply(sk_c7,sk_c7)
    | sk_c7 != inverse(identity)
    | ~ spl2_17 ),
    inference(superposition,[],[f125,f1]) ).

fof(f242,plain,
    ( spl2_19
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f241,f65,f139]) ).

fof(f241,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl2_7 ),
    inference(superposition,[],[f2,f67]) ).

fof(f190,plain,
    ( spl2_23
    | ~ spl2_5
    | ~ spl2_6
    | ~ spl2_19 ),
    inference(avatar_split_clause,[],[f185,f139,f60,f55,f187]) ).

fof(f55,plain,
    ( spl2_5
  <=> sk_c6 = multiply(sk_c7,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f60,plain,
    ( spl2_6
  <=> sk_c4 = multiply(sk_c3,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f185,plain,
    ( sk_c6 = sk_c7
    | ~ spl2_5
    | ~ spl2_6
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f183,f57]) ).

fof(f57,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f183,plain,
    ( sk_c7 = multiply(sk_c7,sk_c4)
    | ~ spl2_6
    | ~ spl2_19 ),
    inference(superposition,[],[f158,f62]) ).

fof(f62,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f158,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f150,f1]) ).

fof(f150,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl2_19 ),
    inference(superposition,[],[f3,f141]) ).

fof(f178,plain,
    ( spl2_22
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f173,f90,f175]) ).

fof(f173,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl2_10 ),
    inference(superposition,[],[f2,f92]) ).

fof(f172,plain,
    ( spl2_21
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f167,f70,f169]) ).

fof(f167,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl2_8 ),
    inference(superposition,[],[f2,f72]) ).

fof(f165,plain,
    ( spl2_20
    | ~ spl2_3
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f159,f134,f45,f162]) ).

fof(f162,plain,
    ( spl2_20
  <=> sk_c6 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f159,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl2_3
    | ~ spl2_18 ),
    inference(superposition,[],[f157,f47]) ).

fof(f157,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl2_18 ),
    inference(forward_demodulation,[],[f148,f1]) ).

fof(f148,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl2_18 ),
    inference(superposition,[],[f3,f136]) ).

fof(f136,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl2_18 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f129,plain,
    ( ~ spl2_13
    | ~ spl2_1
    | spl2_11 ),
    inference(avatar_split_clause,[],[f128,f100,f36,f110]) ).

fof(f110,plain,
    ( spl2_13
  <=> sP1(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f100,plain,
    ( spl2_11
  <=> sP1(multiply(sk_c6,sk_c5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f128,plain,
    ( ~ sP1(sk_c7)
    | ~ spl2_1
    | spl2_11 ),
    inference(backward_demodulation,[],[f102,f38]) ).

fof(f102,plain,
    ( ~ sP1(multiply(sk_c6,sk_c5))
    | spl2_11 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f127,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | ~ sP0(multiply(sk_c6,sk_c7))
    | sP0(sk_c5) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f126,plain,
    ( spl2_13
    | ~ spl2_8
    | spl2_14
    | ~ spl2_15
    | spl2_16
    | spl2_17 ),
    inference(avatar_split_clause,[],[f34,f124,f121,f117,f114,f70,f110]) ).

fof(f117,plain,
    ( spl2_15
  <=> sP0(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f34,plain,
    ! [X3,X6,X4] :
      ( sk_c7 != inverse(X6)
      | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | ~ sP0(sk_c5)
      | sk_c6 != inverse(X3)
      | sk_c5 != multiply(X3,sk_c6)
      | sk_c5 != inverse(sk_c6)
      | sP1(sk_c7) ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f32,plain,
    ! [X3,X6,X4] :
      ( sk_c7 != inverse(X6)
      | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | sP0(sk_c5)
      | sk_c6 != inverse(X3)
      | sk_c5 != multiply(X3,sk_c6)
      | sk_c5 != inverse(sk_c6)
      | sP1(sk_c7) ),
    inference(equality_resolution,[],[f31]) ).

fof(f31,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != inverse(X6)
      | multiply(X6,sk_c7) != X5
      | sk_c6 != multiply(sk_c7,X5)
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | sP0(sk_c5)
      | sk_c6 != inverse(X3)
      | sk_c5 != multiply(X3,sk_c6)
      | sk_c5 != inverse(sk_c6)
      | sP1(sk_c7) ),
    inference(inequality_splitting,[],[f28,f30,f29]) ).

fof(f29,plain,
    ~ sP0(multiply(sk_c6,sk_c7)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f30,plain,
    ~ sP1(multiply(sk_c6,sk_c5)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f28,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != inverse(X6)
      | multiply(X6,sk_c7) != X5
      | sk_c6 != multiply(sk_c7,X5)
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != inverse(X3)
      | sk_c5 != multiply(X3,sk_c6)
      | sk_c5 != inverse(sk_c6)
      | multiply(sk_c6,sk_c5) != sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_25) ).

fof(f108,plain,
    spl2_12,
    inference(avatar_split_clause,[],[f33,f105]) ).

fof(f105,plain,
    ( spl2_12
  <=> sP0(multiply(sk_c6,sk_c7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f33,plain,
    sP0(multiply(sk_c6,sk_c7)),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f103,plain,
    ~ spl2_11,
    inference(avatar_split_clause,[],[f30,f100]) ).

fof(f98,plain,
    ( spl2_10
    | spl2_7 ),
    inference(avatar_split_clause,[],[f27,f65,f90]) ).

fof(f27,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_24) ).

fof(f97,plain,
    ( spl2_10
    | spl2_6 ),
    inference(avatar_split_clause,[],[f26,f60,f90]) ).

fof(f26,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_23) ).

fof(f96,plain,
    ( spl2_10
    | spl2_5 ),
    inference(avatar_split_clause,[],[f25,f55,f90]) ).

fof(f25,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_22) ).

fof(f95,plain,
    ( spl2_10
    | spl2_4 ),
    inference(avatar_split_clause,[],[f24,f50,f90]) ).

fof(f24,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_21) ).

fof(f94,plain,
    ( spl2_10
    | spl2_3 ),
    inference(avatar_split_clause,[],[f23,f45,f90]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_20) ).

fof(f93,plain,
    ( spl2_10
    | spl2_2 ),
    inference(avatar_split_clause,[],[f22,f40,f90]) ).

fof(f22,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_19) ).

fof(f88,plain,
    ( spl2_9
    | spl2_7 ),
    inference(avatar_split_clause,[],[f21,f65,f80]) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_18) ).

fof(f87,plain,
    ( spl2_9
    | spl2_6 ),
    inference(avatar_split_clause,[],[f20,f60,f80]) ).

fof(f20,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_17) ).

fof(f86,plain,
    ( spl2_9
    | spl2_5 ),
    inference(avatar_split_clause,[],[f19,f55,f80]) ).

fof(f19,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_16) ).

fof(f85,plain,
    ( spl2_9
    | spl2_4 ),
    inference(avatar_split_clause,[],[f18,f50,f80]) ).

fof(f18,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_15) ).

fof(f84,plain,
    ( spl2_9
    | spl2_3 ),
    inference(avatar_split_clause,[],[f17,f45,f80]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_14) ).

fof(f83,plain,
    ( spl2_9
    | spl2_2 ),
    inference(avatar_split_clause,[],[f16,f40,f80]) ).

fof(f16,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_13) ).

fof(f78,plain,
    ( spl2_8
    | spl2_7 ),
    inference(avatar_split_clause,[],[f15,f65,f70]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_12) ).

fof(f77,plain,
    ( spl2_8
    | spl2_6 ),
    inference(avatar_split_clause,[],[f14,f60,f70]) ).

fof(f14,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | sk_c5 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_11) ).

fof(f76,plain,
    ( spl2_8
    | spl2_5 ),
    inference(avatar_split_clause,[],[f13,f55,f70]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | sk_c5 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_10) ).

fof(f75,plain,
    ( spl2_8
    | spl2_4 ),
    inference(avatar_split_clause,[],[f12,f50,f70]) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c5 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_9) ).

fof(f74,plain,
    ( spl2_8
    | spl2_3 ),
    inference(avatar_split_clause,[],[f11,f45,f70]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c5 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_8) ).

fof(f73,plain,
    ( spl2_8
    | spl2_2 ),
    inference(avatar_split_clause,[],[f10,f40,f70]) ).

fof(f10,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c5 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_7) ).

fof(f68,plain,
    ( spl2_1
    | spl2_7 ),
    inference(avatar_split_clause,[],[f9,f65,f36]) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_6) ).

fof(f63,plain,
    ( spl2_1
    | spl2_6 ),
    inference(avatar_split_clause,[],[f8,f60,f36]) ).

fof(f8,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_5) ).

fof(f58,plain,
    ( spl2_1
    | spl2_5 ),
    inference(avatar_split_clause,[],[f7,f55,f36]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_4) ).

fof(f53,plain,
    ( spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f6,f50,f36]) ).

fof(f6,axiom,
    ( sk_c6 = inverse(sk_c2)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_3) ).

fof(f48,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[],[f5,f45,f36]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_2) ).

fof(f43,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f4,f40,f36]) ).

fof(f4,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.ZlvGokQAgh/Vampire---4.8_3255',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP363-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14  % 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
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 20:48:53 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.36  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.ZlvGokQAgh/Vampire---4.8_3255
% 0.51/0.68  % (3363)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.51/0.68  % (3366)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.51/0.68  % (3365)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.68  % (3368)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.51/0.68  % (3364)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.51/0.68  % (3369)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.51/0.68  % (3367)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.51/0.68  % (3370)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.51/0.68  % (3363)Refutation not found, incomplete strategy% (3363)------------------------------
% 0.51/0.68  % (3363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68  % (3363)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68  
% 0.51/0.68  % (3363)Memory used [KB]: 994
% 0.51/0.68  % (3363)Time elapsed: 0.002 s
% 0.51/0.68  % (3363)Instructions burned: 3 (million)
% 0.51/0.68  % (3363)------------------------------
% 0.51/0.68  % (3363)------------------------------
% 0.51/0.68  % (3366)Refutation not found, incomplete strategy% (3366)------------------------------
% 0.51/0.68  % (3366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68  % (3366)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68  
% 0.51/0.68  % (3366)Memory used [KB]: 977
% 0.51/0.68  % (3366)Time elapsed: 0.003 s
% 0.51/0.68  % (3366)Instructions burned: 3 (million)
% 0.51/0.68  % (3366)------------------------------
% 0.51/0.68  % (3366)------------------------------
% 0.51/0.68  % (3367)Refutation not found, incomplete strategy% (3367)------------------------------
% 0.51/0.68  % (3367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68  % (3367)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68  
% 0.51/0.68  % (3367)Memory used [KB]: 994
% 0.51/0.68  % (3367)Time elapsed: 0.003 s
% 0.51/0.68  % (3367)Instructions burned: 4 (million)
% 0.51/0.68  % (3370)Refutation not found, incomplete strategy% (3370)------------------------------
% 0.51/0.68  % (3370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68  % (3370)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68  
% 0.51/0.68  % (3370)Memory used [KB]: 979
% 0.51/0.68  % (3370)Time elapsed: 0.003 s
% 0.51/0.68  % (3370)Instructions burned: 3 (million)
% 0.51/0.68  % (3367)------------------------------
% 0.51/0.68  % (3367)------------------------------
% 0.51/0.68  % (3370)------------------------------
% 0.51/0.68  % (3370)------------------------------
% 0.51/0.68  % (3371)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.51/0.68  % (3373)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.51/0.68  % (3374)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.51/0.69  % (3372)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.51/0.69  % (3372)Refutation not found, incomplete strategy% (3372)------------------------------
% 0.51/0.69  % (3372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (3372)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.69  
% 0.51/0.69  % (3372)Memory used [KB]: 988
% 0.51/0.69  % (3372)Time elapsed: 0.004 s
% 0.51/0.69  % (3372)Instructions burned: 4 (million)
% 0.51/0.69  % (3372)------------------------------
% 0.51/0.69  % (3372)------------------------------
% 0.51/0.69  % (3371)Instruction limit reached!
% 0.51/0.69  % (3371)------------------------------
% 0.51/0.69  % (3371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (3371)Termination reason: Unknown
% 0.51/0.69  % (3371)Termination phase: Saturation
% 0.51/0.69  
% 0.51/0.69  % (3371)Memory used [KB]: 1631
% 0.51/0.69  % (3371)Time elapsed: 0.015 s
% 0.51/0.69  % (3371)Instructions burned: 56 (million)
% 0.51/0.69  % (3371)------------------------------
% 0.51/0.69  % (3371)------------------------------
% 0.51/0.69  % (3375)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.51/0.70  % (3368)Instruction limit reached!
% 0.51/0.70  % (3368)------------------------------
% 0.51/0.70  % (3368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.70  % (3368)Termination reason: Unknown
% 0.51/0.70  % (3368)Termination phase: Saturation
% 0.51/0.70  
% 0.51/0.70  % (3368)Memory used [KB]: 1603
% 0.51/0.70  % (3368)Time elapsed: 0.021 s
% 0.51/0.70  % (3368)Instructions burned: 46 (million)
% 0.51/0.70  % (3368)------------------------------
% 0.51/0.70  % (3368)------------------------------
% 0.51/0.70  % (3376)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.51/0.70  % (3376)Refutation not found, incomplete strategy% (3376)------------------------------
% 0.51/0.70  % (3376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.70  % (3376)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.70  
% 0.51/0.70  % (3376)Memory used [KB]: 1001
% 0.51/0.70  % (3376)Time elapsed: 0.001 s
% 0.51/0.70  % (3376)Instructions burned: 3 (million)
% 0.51/0.70  % (3376)------------------------------
% 0.51/0.70  % (3376)------------------------------
% 0.51/0.70  % (3377)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.51/0.70  % (3364)Instruction limit reached!
% 0.51/0.70  % (3364)------------------------------
% 0.51/0.70  % (3364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.70  % (3364)Termination reason: Unknown
% 0.51/0.70  % (3364)Termination phase: Saturation
% 0.51/0.70  
% 0.51/0.70  % (3364)Memory used [KB]: 1671
% 0.51/0.70  % (3364)Time elapsed: 0.027 s
% 0.51/0.70  % (3364)Instructions burned: 52 (million)
% 0.51/0.70  % (3364)------------------------------
% 0.51/0.70  % (3364)------------------------------
% 0.51/0.70  % (3378)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.51/0.70  % (3378)Refutation not found, incomplete strategy% (3378)------------------------------
% 0.51/0.70  % (3378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.70  % (3378)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.70  
% 0.51/0.70  % (3378)Memory used [KB]: 980
% 0.51/0.70  % (3378)Time elapsed: 0.003 s
% 0.51/0.70  % (3378)Instructions burned: 3 (million)
% 0.51/0.70  % (3378)------------------------------
% 0.51/0.70  % (3378)------------------------------
% 0.51/0.71  % (3380)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.51/0.71  % (3374)Instruction limit reached!
% 0.51/0.71  % (3374)------------------------------
% 0.51/0.71  % (3374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.71  % (3374)Termination reason: Unknown
% 0.51/0.71  % (3374)Termination phase: Saturation
% 0.51/0.71  
% 0.51/0.71  % (3374)Memory used [KB]: 1595
% 0.51/0.71  % (3374)Time elapsed: 0.027 s
% 0.51/0.71  % (3374)Instructions burned: 53 (million)
% 0.51/0.71  % (3374)------------------------------
% 0.51/0.71  % (3374)------------------------------
% 0.51/0.71  % (3369)Instruction limit reached!
% 0.51/0.71  % (3369)------------------------------
% 0.51/0.71  % (3369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.71  % (3379)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.51/0.71  % (3369)Termination reason: Unknown
% 0.51/0.71  % (3369)Termination phase: Saturation
% 0.51/0.71  
% 0.51/0.71  % (3369)Memory used [KB]: 1824
% 0.51/0.71  % (3369)Time elapsed: 0.035 s
% 0.51/0.71  % (3369)Instructions burned: 83 (million)
% 0.51/0.71  % (3369)------------------------------
% 0.51/0.71  % (3369)------------------------------
% 0.51/0.71  % (3365)Instruction limit reached!
% 0.51/0.71  % (3365)------------------------------
% 0.51/0.71  % (3365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.71  % (3365)Termination reason: Unknown
% 0.51/0.71  % (3365)Termination phase: Saturation
% 0.51/0.71  
% 0.51/0.71  % (3365)Memory used [KB]: 1788
% 0.51/0.71  % (3365)Time elapsed: 0.036 s
% 0.51/0.71  % (3365)Instructions burned: 78 (million)
% 0.51/0.71  % (3365)------------------------------
% 0.51/0.71  % (3365)------------------------------
% 0.51/0.71  % (3379)Refutation not found, incomplete strategy% (3379)------------------------------
% 0.51/0.71  % (3379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.71  % (3379)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.71  
% 0.51/0.71  % (3379)Memory used [KB]: 996
% 0.51/0.71  % (3379)Time elapsed: 0.003 s
% 0.51/0.71  % (3379)Instructions burned: 4 (million)
% 0.51/0.71  % (3379)------------------------------
% 0.51/0.71  % (3379)------------------------------
% 0.51/0.71  % (3381)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.51/0.71  % (3381)Refutation not found, incomplete strategy% (3381)------------------------------
% 0.51/0.71  % (3381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.71  % (3381)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.71  
% 0.51/0.71  % (3381)Memory used [KB]: 980
% 0.51/0.71  % (3381)Time elapsed: 0.003 s
% 0.51/0.71  % (3381)Instructions burned: 3 (million)
% 0.51/0.71  % (3381)------------------------------
% 0.51/0.71  % (3381)------------------------------
% 0.51/0.71  % (3383)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.51/0.71  % (3384)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.51/0.71  % (3382)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.51/0.72  % (3384)Refutation not found, incomplete strategy% (3384)------------------------------
% 0.51/0.72  % (3384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (3384)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.72  
% 0.51/0.72  % (3384)Memory used [KB]: 998
% 0.51/0.72  % (3384)Time elapsed: 0.003 s
% 0.51/0.72  % (3384)Instructions burned: 4 (million)
% 0.51/0.72  % (3384)------------------------------
% 0.51/0.72  % (3384)------------------------------
% 0.51/0.72  % (3386)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.51/0.72  % (3385)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.51/0.72  % (3386)Refutation not found, incomplete strategy% (3386)------------------------------
% 0.51/0.72  % (3386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (3386)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.72  
% 0.51/0.72  % (3386)Memory used [KB]: 984
% 0.51/0.72  % (3386)Time elapsed: 0.003 s
% 0.51/0.72  % (3386)Instructions burned: 3 (million)
% 0.51/0.72  % (3386)------------------------------
% 0.51/0.72  % (3386)------------------------------
% 0.51/0.72  % (3382)Refutation not found, incomplete strategy% (3382)------------------------------
% 0.51/0.72  % (3382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (3382)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.72  
% 0.51/0.72  % (3382)Memory used [KB]: 1201
% 0.51/0.72  % (3382)Time elapsed: 0.010 s
% 0.51/0.72  % (3382)Instructions burned: 19 (million)
% 0.51/0.72  % (3382)------------------------------
% 0.51/0.72  % (3382)------------------------------
% 0.51/0.73  % (3387)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.51/0.73  % (3388)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.74/0.75  % (3385)Instruction limit reached!
% 0.74/0.75  % (3385)------------------------------
% 0.74/0.75  % (3385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.75  % (3385)Termination reason: Unknown
% 0.74/0.75  % (3385)Termination phase: Saturation
% 0.74/0.75  
% 0.74/0.75  % (3385)Memory used [KB]: 1182
% 0.74/0.75  % (3385)Time elapsed: 0.049 s
% 0.74/0.75  % (3385)Instructions burned: 54 (million)
% 0.74/0.75  % (3385)------------------------------
% 0.74/0.75  % (3385)------------------------------
% 0.74/0.75  % (3380)Instruction limit reached!
% 0.74/0.75  % (3380)------------------------------
% 0.74/0.75  % (3380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.75  % (3380)Termination reason: Unknown
% 0.74/0.75  % (3380)Termination phase: Saturation
% 0.74/0.75  
% 0.74/0.75  % (3380)Memory used [KB]: 2113
% 0.74/0.75  % (3380)Time elapsed: 0.042 s
% 0.74/0.75  % (3380)Instructions burned: 93 (million)
% 0.74/0.75  % (3380)------------------------------
% 0.74/0.75  % (3380)------------------------------
% 0.74/0.75  % (3390)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 (2996ds/109Mi)
% 0.74/0.75  % (3388)Instruction limit reached!
% 0.74/0.75  % (3388)------------------------------
% 0.74/0.75  % (3388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.75  % (3388)Termination reason: Unknown
% 0.74/0.75  % (3388)Termination phase: Saturation
% 0.74/0.75  
% 0.74/0.75  % (3388)Memory used [KB]: 1141
% 0.74/0.75  % (3388)Time elapsed: 0.043 s
% 0.74/0.75  % (3388)Instructions burned: 37 (million)
% 0.74/0.75  % (3388)------------------------------
% 0.74/0.75  % (3388)------------------------------
% 0.74/0.75  % (3389)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.74/0.75  % (3391)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 (2996ds/161Mi)
% 0.74/0.76  % (3391)Refutation not found, incomplete strategy% (3391)------------------------------
% 0.74/0.76  % (3391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.76  % (3391)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.76  
% 0.74/0.76  % (3391)Memory used [KB]: 976
% 0.74/0.76  % (3391)Time elapsed: 0.003 s
% 0.74/0.76  % (3391)Instructions burned: 3 (million)
% 0.74/0.76  % (3391)------------------------------
% 0.74/0.76  % (3391)------------------------------
% 0.82/0.76  % (3392)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 (2996ds/69Mi)
% 0.82/0.76  % (3377)Instruction limit reached!
% 0.82/0.76  % (3377)------------------------------
% 0.82/0.76  % (3377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.76  % (3392)Refutation not found, incomplete strategy% (3392)------------------------------
% 0.82/0.76  % (3392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.76  % (3392)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.76  
% 0.82/0.76  % (3392)Memory used [KB]: 997
% 0.82/0.76  % (3392)Time elapsed: 0.027 s
% 0.82/0.76  % (3392)Instructions burned: 4 (million)
% 0.82/0.76  % (3377)Termination reason: Unknown
% 0.82/0.76  % (3377)Termination phase: Saturation
% 0.82/0.76  
% 0.82/0.76  % (3377)Memory used [KB]: 2866
% 0.82/0.76  % (3377)Time elapsed: 0.065 s
% 0.82/0.76  % (3377)Instructions burned: 247 (million)
% 0.82/0.76  % (3377)------------------------------
% 0.82/0.76  % (3377)------------------------------
% 0.82/0.76  % (3392)------------------------------
% 0.82/0.76  % (3392)------------------------------
% 0.82/0.77  % (3393)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 (2996ds/40Mi)
% 0.82/0.77  % (3390)First to succeed.
% 0.82/0.77  % (3390)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3362"
% 0.82/0.77  % (3373)Instruction limit reached!
% 0.82/0.77  % (3373)------------------------------
% 0.82/0.77  % (3373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.77  % (3373)Termination reason: Unknown
% 0.82/0.77  % (3373)Termination phase: Saturation
% 0.82/0.77  
% 0.82/0.77  % (3373)Memory used [KB]: 3164
% 0.82/0.77  % (3373)Time elapsed: 0.093 s
% 0.82/0.77  % (3373)Instructions burned: 209 (million)
% 0.82/0.77  % (3373)------------------------------
% 0.82/0.77  % (3373)------------------------------
% 0.82/0.77  % (3390)Refutation found. Thanks to Tanya!
% 0.82/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.82/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.82/0.78  % (3390)------------------------------
% 0.82/0.78  % (3390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.78  % (3390)Termination reason: Refutation
% 0.82/0.78  
% 0.82/0.78  % (3390)Memory used [KB]: 1370
% 0.82/0.78  % (3390)Time elapsed: 0.045 s
% 0.82/0.78  % (3390)Instructions burned: 42 (million)
% 0.82/0.78  % (3362)Success in time 0.399 s
% 0.82/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------