TSTP Solution File: GRP296-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP296-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 05:47:16 EDT 2024

% Result   : Unsatisfiable 0.88s 0.91s
% Output   : Refutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   87
% Syntax   : Number of formulae    :  266 (  11 unt;   0 def)
%            Number of atoms       :  732 ( 282 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  865 ( 399   ~; 427   |;   0   &)
%                                         (  39 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   44 (  42 usr;  40 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f896,plain,
    $false,
    inference(avatar_sat_refutation,[],[f56,f61,f66,f71,f76,f81,f86,f89,f90,f91,f96,f99,f100,f101,f106,f107,f108,f109,f110,f111,f116,f117,f118,f119,f120,f121,f126,f127,f128,f129,f130,f131,f136,f141,f146,f171,f173,f186,f187,f199,f226,f229,f240,f248,f259,f264,f270,f317,f328,f363,f395,f420,f448,f464,f466,f505,f545,f548,f551,f552,f557,f561,f576,f577,f578,f582,f606,f632,f642,f683,f715,f839,f841,f852,f895]) ).

fof(f895,plain,
    ( ~ spl3_24
    | ~ spl3_66
    | spl3_70 ),
    inference(avatar_contradiction_clause,[],[f894]) ).

fof(f894,plain,
    ( $false
    | ~ spl3_24
    | ~ spl3_66
    | spl3_70 ),
    inference(subsumption_resolution,[],[f892,f816]) ).

fof(f816,plain,
    ( identity != sk_c5
    | spl3_70 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl3_70
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).

fof(f892,plain,
    ( identity = sk_c5
    | ~ spl3_24
    | ~ spl3_66 ),
    inference(backward_demodulation,[],[f184,f762]) ).

fof(f762,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl3_66 ),
    inference(forward_demodulation,[],[f756,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',left_identity) ).

fof(f756,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl3_66 ),
    inference(superposition,[],[f3,f725]) ).

fof(f725,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl3_66 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f723,plain,
    ( spl3_66
  <=> identity = multiply(sk_c6,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',associativity) ).

fof(f184,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f182,plain,
    ( spl3_24
  <=> identity = multiply(sk_c6,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f852,plain,
    ( spl3_66
    | ~ spl3_23
    | ~ spl3_31 ),
    inference(avatar_split_clause,[],[f849,f261,f177,f723]) ).

fof(f177,plain,
    ( spl3_23
  <=> identity = multiply(sk_c8,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f261,plain,
    ( spl3_31
  <=> sk_c8 = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).

fof(f849,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl3_23
    | ~ spl3_31 ),
    inference(superposition,[],[f284,f179]) ).

fof(f179,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl3_23 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f284,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl3_31 ),
    inference(superposition,[],[f3,f263]) ).

fof(f263,plain,
    ( sk_c8 = multiply(sk_c6,sk_c8)
    | ~ spl3_31 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f841,plain,
    ( spl3_24
    | ~ spl3_7 ),
    inference(avatar_split_clause,[],[f840,f78,f182]) ).

fof(f78,plain,
    ( spl3_7
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f840,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl3_7 ),
    inference(superposition,[],[f2,f80]) ).

fof(f80,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',left_inverse) ).

fof(f839,plain,
    ( ~ spl3_6
    | spl3_36
    | ~ spl3_70 ),
    inference(avatar_contradiction_clause,[],[f838]) ).

fof(f838,plain,
    ( $false
    | ~ spl3_6
    | spl3_36
    | ~ spl3_70 ),
    inference(subsumption_resolution,[],[f837,f300]) ).

fof(f300,plain,
    ( sk_c8 != sk_c6
    | spl3_36 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl3_36
  <=> sk_c8 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).

fof(f837,plain,
    ( sk_c8 = sk_c6
    | ~ spl3_6
    | ~ spl3_70 ),
    inference(forward_demodulation,[],[f836,f1]) ).

fof(f836,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | ~ spl3_6
    | ~ spl3_70 ),
    inference(forward_demodulation,[],[f75,f817]) ).

fof(f817,plain,
    ( identity = sk_c5
    | ~ spl3_70 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f75,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl3_6
  <=> sk_c8 = multiply(sk_c5,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f715,plain,
    ( ~ spl3_30
    | spl3_1
    | ~ spl3_29 ),
    inference(avatar_split_clause,[],[f714,f245,f49,f256]) ).

fof(f256,plain,
    ( spl3_30
  <=> sk_c6 = multiply(sk_c8,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f49,plain,
    ( spl3_1
  <=> multiply(sk_c8,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f245,plain,
    ( spl3_29
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f714,plain,
    ( sk_c6 != multiply(sk_c8,sk_c8)
    | spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f50,f247]) ).

fof(f247,plain,
    ( sk_c8 = sk_c7
    | ~ spl3_29 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f50,plain,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | spl3_1 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f683,plain,
    ( spl3_28
    | ~ spl3_30
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f682]) ).

fof(f682,plain,
    ( $false
    | spl3_28
    | ~ spl3_30
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f681,f238]) ).

fof(f238,plain,
    ( sk_c8 != multiply(sk_c8,sk_c6)
    | spl3_28 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl3_28
  <=> sk_c8 = multiply(sk_c8,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).

fof(f681,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl3_30
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f674,f263]) ).

fof(f674,plain,
    ( multiply(sk_c6,sk_c8) = multiply(sk_c8,sk_c6)
    | ~ spl3_30 ),
    inference(superposition,[],[f283,f258]) ).

fof(f258,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl3_30 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f283,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl3_30 ),
    inference(superposition,[],[f3,f258]) ).

fof(f642,plain,
    ( sk_c8 != sk_c6
    | sk_c7 != multiply(sk_c6,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f632,plain,
    ( ~ spl3_4
    | ~ spl3_5
    | ~ spl3_21
    | ~ spl3_27
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f631]) ).

fof(f631,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_5
    | ~ spl3_21
    | ~ spl3_27
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f630,f70]) ).

fof(f70,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f68,plain,
    ( spl3_5
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f630,plain,
    ( sk_c8 != inverse(sk_c3)
    | ~ spl3_4
    | ~ spl3_21
    | ~ spl3_27
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f621,f225]) ).

fof(f225,plain,
    ( sk_c8 = multiply(sk_c8,sk_c4)
    | ~ spl3_27 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl3_27
  <=> sk_c8 = multiply(sk_c8,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).

fof(f621,plain,
    ( sk_c8 != multiply(sk_c8,sk_c4)
    | sk_c8 != inverse(sk_c3)
    | ~ spl3_4
    | ~ spl3_21
    | ~ spl3_29 ),
    inference(superposition,[],[f607,f65]) ).

fof(f65,plain,
    ( sk_c4 = multiply(sk_c3,sk_c8)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl3_4
  <=> sk_c4 = multiply(sk_c3,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f607,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(sk_c8,multiply(X6,sk_c8))
        | sk_c8 != inverse(X6) )
    | ~ spl3_21
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f167,f247]) ).

fof(f167,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X6,sk_c8)) )
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl3_21
  <=> ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X6,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f606,plain,
    ( ~ spl3_17
    | ~ spl3_29
    | ~ spl3_46
    | ~ spl3_47 ),
    inference(avatar_contradiction_clause,[],[f605]) ).

fof(f605,plain,
    ( $false
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_46
    | ~ spl3_47 ),
    inference(subsumption_resolution,[],[f602,f389]) ).

fof(f389,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl3_47 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f387,plain,
    ( spl3_47
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).

fof(f602,plain,
    ( sk_c8 != inverse(sk_c5)
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_46 ),
    inference(trivial_inequality_removal,[],[f599]) ).

fof(f599,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c5)
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_46 ),
    inference(superposition,[],[f584,f383]) ).

fof(f383,plain,
    ( sk_c8 = multiply(sk_c5,sk_c8)
    | ~ spl3_46 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl3_46
  <=> sk_c8 = multiply(sk_c5,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).

fof(f584,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl3_17
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f153,f247]) ).

fof(f153,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) )
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl3_17
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f582,plain,
    ( sk_c8 != sk_c6
    | sk_c8 != multiply(sk_c8,sk_c4)
    | sk_c7 != multiply(sk_c8,sk_c4)
    | sk_c7 != multiply(sk_c8,sk_c6)
    | sk_c6 = multiply(sk_c8,sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f578,plain,
    ( sk_c8 != multiply(sk_c8,sk_c4)
    | sk_c7 != multiply(sk_c8,sk_c4)
    | sk_c7 != multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c8,sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f577,plain,
    ( sk_c8 != multiply(sk_c8,sk_c4)
    | sk_c7 != multiply(sk_c8,sk_c4)
    | sk_c8 = sk_c7 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f576,plain,
    ( ~ spl3_19
    | ~ spl3_36
    | ~ spl3_46
    | ~ spl3_47 ),
    inference(avatar_contradiction_clause,[],[f575]) ).

fof(f575,plain,
    ( $false
    | ~ spl3_19
    | ~ spl3_36
    | ~ spl3_46
    | ~ spl3_47 ),
    inference(subsumption_resolution,[],[f572,f389]) ).

fof(f572,plain,
    ( sk_c8 != inverse(sk_c5)
    | ~ spl3_19
    | ~ spl3_36
    | ~ spl3_46 ),
    inference(trivial_inequality_removal,[],[f569]) ).

fof(f569,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c5)
    | ~ spl3_19
    | ~ spl3_36
    | ~ spl3_46 ),
    inference(superposition,[],[f553,f383]) ).

fof(f553,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl3_19
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f160,f299]) ).

fof(f299,plain,
    ( sk_c8 = sk_c6
    | ~ spl3_36 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f160,plain,
    ( ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c8) )
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl3_19
  <=> ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f561,plain,
    ( spl3_23
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f560,f68,f177]) ).

fof(f560,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl3_5 ),
    inference(superposition,[],[f2,f70]) ).

fof(f557,plain,
    ( spl3_47
    | ~ spl3_7
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f556,f298,f78,f387]) ).

fof(f556,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl3_7
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f80,f299]) ).

fof(f552,plain,
    ( sk_c8 != sk_c6
    | sk_c7 != multiply(sk_c8,sk_c6)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f551,plain,
    ( sk_c8 != sk_c6
    | sk_c8 != multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c6,sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f548,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | sk_c8 != multiply(sk_c8,sk_c6)
    | sk_c8 != multiply(sk_c6,sk_c8)
    | sP0(multiply(sk_c6,sk_c8))
    | ~ sP0(sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f545,plain,
    ( ~ spl3_12
    | ~ spl3_21
    | ~ spl3_26
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f544]) ).

fof(f544,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_21
    | ~ spl3_26
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f528,f125]) ).

fof(f125,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl3_12
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f528,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl3_21
    | ~ spl3_26
    | ~ spl3_29 ),
    inference(trivial_inequality_removal,[],[f523]) ).

fof(f523,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c2)
    | ~ spl3_21
    | ~ spl3_26
    | ~ spl3_29 ),
    inference(superposition,[],[f506,f218]) ).

fof(f218,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f207,f1]) ).

fof(f207,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl3_26 ),
    inference(superposition,[],[f3,f198]) ).

fof(f198,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl3_26 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl3_26
  <=> identity = multiply(sk_c8,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f506,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(sk_c8,multiply(X6,sk_c8))
        | sk_c8 != inverse(X6) )
    | ~ spl3_21
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f167,f247]) ).

fof(f505,plain,
    ( ~ spl3_12
    | ~ spl3_19
    | ~ spl3_36
    | ~ spl3_48 ),
    inference(avatar_contradiction_clause,[],[f504]) ).

fof(f504,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_19
    | ~ spl3_36
    | ~ spl3_48 ),
    inference(subsumption_resolution,[],[f488,f125]) ).

fof(f488,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl3_19
    | ~ spl3_36
    | ~ spl3_48 ),
    inference(trivial_inequality_removal,[],[f487]) ).

fof(f487,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c2)
    | ~ spl3_19
    | ~ spl3_36
    | ~ spl3_48 ),
    inference(superposition,[],[f467,f394]) ).

fof(f394,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | ~ spl3_48 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f392,plain,
    ( spl3_48
  <=> sk_c8 = multiply(sk_c2,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).

fof(f467,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl3_19
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f160,f299]) ).

fof(f466,plain,
    ( ~ spl3_12
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_48 ),
    inference(avatar_contradiction_clause,[],[f465]) ).

fof(f465,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_48 ),
    inference(subsumption_resolution,[],[f458,f125]) ).

fof(f458,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_48 ),
    inference(trivial_inequality_removal,[],[f457]) ).

fof(f457,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c2)
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_48 ),
    inference(superposition,[],[f449,f394]) ).

fof(f449,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl3_17
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f153,f247]) ).

fof(f464,plain,
    ( ~ spl3_9
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f463]) ).

fof(f463,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f459,f95]) ).

fof(f95,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl3_9
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f459,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_32 ),
    inference(trivial_inequality_removal,[],[f456]) ).

fof(f456,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c1)
    | ~ spl3_17
    | ~ spl3_29
    | ~ spl3_32 ),
    inference(superposition,[],[f449,f269]) ).

fof(f269,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl3_32 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl3_32
  <=> sk_c8 = multiply(sk_c1,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).

fof(f448,plain,
    ( ~ spl3_12
    | ~ spl3_22
    | ~ spl3_36
    | ~ spl3_48 ),
    inference(avatar_contradiction_clause,[],[f447]) ).

fof(f447,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_22
    | ~ spl3_36
    | ~ spl3_48 ),
    inference(subsumption_resolution,[],[f440,f125]) ).

fof(f440,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl3_22
    | ~ spl3_36
    | ~ spl3_48 ),
    inference(trivial_inequality_removal,[],[f439]) ).

fof(f439,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c2)
    | ~ spl3_22
    | ~ spl3_36
    | ~ spl3_48 ),
    inference(superposition,[],[f401,f394]) ).

fof(f401,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(X7,sk_c8)
        | sk_c8 != inverse(X7) )
    | ~ spl3_22
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f374,f299]) ).

fof(f374,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(X7,sk_c8)
        | sk_c6 != inverse(X7) )
    | ~ spl3_22
    | ~ spl3_36 ),
    inference(backward_demodulation,[],[f170,f299]) ).

fof(f170,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(X7,sk_c6)
        | sk_c6 != inverse(X7) )
    | ~ spl3_22 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl3_22
  <=> ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c8 != multiply(X7,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f420,plain,
    ( spl3_46
    | ~ spl3_6
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f419,f298,f73,f382]) ).

fof(f419,plain,
    ( sk_c8 = multiply(sk_c5,sk_c8)
    | ~ spl3_6
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f75,f299]) ).

fof(f395,plain,
    ( spl3_48
    | ~ spl3_11
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f372,f298,f113,f392]) ).

fof(f113,plain,
    ( spl3_11
  <=> sk_c6 = multiply(sk_c2,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f372,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | ~ spl3_11
    | ~ spl3_36 ),
    inference(backward_demodulation,[],[f115,f299]) ).

fof(f115,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f363,plain,
    ( spl3_36
    | ~ spl3_30
    | ~ spl3_40 ),
    inference(avatar_split_clause,[],[f360,f325,f256,f298]) ).

fof(f325,plain,
    ( spl3_40
  <=> sk_c8 = multiply(sk_c8,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).

fof(f360,plain,
    ( sk_c8 = sk_c6
    | ~ spl3_30
    | ~ spl3_40 ),
    inference(backward_demodulation,[],[f258,f327]) ).

fof(f327,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl3_40 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f328,plain,
    ( spl3_40
    | ~ spl3_25
    | ~ spl3_32 ),
    inference(avatar_split_clause,[],[f322,f267,f190,f325]) ).

fof(f190,plain,
    ( spl3_25
  <=> identity = multiply(sk_c8,sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f322,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl3_25
    | ~ spl3_32 ),
    inference(superposition,[],[f233,f269]) ).

fof(f233,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f232,f1]) ).

fof(f232,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl3_25 ),
    inference(superposition,[],[f3,f192]) ).

fof(f192,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f317,plain,
    ( ~ spl3_6
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f316]) ).

fof(f316,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f291,f80]) ).

fof(f291,plain,
    ( sk_c6 != inverse(sk_c5)
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(trivial_inequality_removal,[],[f290]) ).

fof(f290,plain,
    ( sk_c8 != sk_c8
    | sk_c6 != inverse(sk_c5)
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(superposition,[],[f170,f75]) ).

fof(f270,plain,
    ( spl3_32
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(avatar_split_clause,[],[f252,f245,f83,f267]) ).

fof(f83,plain,
    ( spl3_8
  <=> sk_c7 = multiply(sk_c1,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f252,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f85,f247]) ).

fof(f85,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f264,plain,
    ( spl3_31
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(avatar_split_clause,[],[f250,f245,f53,f261]) ).

fof(f53,plain,
    ( spl3_2
  <=> sk_c7 = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f250,plain,
    ( sk_c8 = multiply(sk_c6,sk_c8)
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f55,f247]) ).

fof(f55,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f259,plain,
    ( spl3_30
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(avatar_split_clause,[],[f249,f245,f49,f256]) ).

fof(f249,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f51,f247]) ).

fof(f51,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f248,plain,
    ( spl3_29
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(avatar_split_clause,[],[f242,f237,f103,f245]) ).

fof(f103,plain,
    ( spl3_10
  <=> sk_c7 = multiply(sk_c8,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f242,plain,
    ( sk_c8 = sk_c7
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f105,f239]) ).

fof(f239,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl3_28 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f105,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f240,plain,
    ( spl3_28
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f234,f196,f113,f237]) ).

fof(f234,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(superposition,[],[f218,f115]) ).

fof(f229,plain,
    ( spl3_25
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f228,f93,f190]) ).

fof(f228,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl3_9 ),
    inference(superposition,[],[f2,f95]) ).

fof(f226,plain,
    ( spl3_27
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f220,f177,f63,f223]) ).

fof(f220,plain,
    ( sk_c8 = multiply(sk_c8,sk_c4)
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(superposition,[],[f217,f65]) ).

fof(f217,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f206,f1]) ).

fof(f206,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl3_23 ),
    inference(superposition,[],[f3,f179]) ).

fof(f199,plain,
    ( spl3_26
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f194,f123,f196]) ).

fof(f194,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl3_12 ),
    inference(superposition,[],[f2,f125]) ).

fof(f187,plain,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | ~ sP2(sk_c6)
    | sP2(multiply(sk_c8,sk_c7)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f186,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | ~ sP1(multiply(sk_c8,sk_c6))
    | sP1(sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f173,plain,
    ( ~ spl3_20
    | ~ spl3_2
    | spl3_15 ),
    inference(avatar_split_clause,[],[f172,f143,f53,f162]) ).

fof(f162,plain,
    ( spl3_20
  <=> sP0(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f143,plain,
    ( spl3_15
  <=> sP0(multiply(sk_c6,sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f172,plain,
    ( ~ sP0(sk_c7)
    | ~ spl3_2
    | spl3_15 ),
    inference(backward_demodulation,[],[f145,f55]) ).

fof(f145,plain,
    ( ~ sP0(multiply(sk_c6,sk_c8))
    | spl3_15 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f171,plain,
    ( spl3_16
    | spl3_17
    | ~ spl3_18
    | spl3_19
    | spl3_20
    | spl3_21
    | spl3_22 ),
    inference(avatar_split_clause,[],[f47,f169,f166,f162,f159,f155,f152,f148]) ).

fof(f148,plain,
    ( spl3_16
  <=> sP2(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f155,plain,
    ( spl3_18
  <=> sP1(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f47,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c6 != inverse(X7)
      | sk_c8 != multiply(X7,sk_c6)
      | sk_c8 != inverse(X6)
      | sk_c7 != multiply(sk_c8,multiply(X6,sk_c8))
      | sP0(sk_c7)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | ~ sP1(sk_c7)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8)
      | sP2(sk_c6) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f45,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c6 != inverse(X7)
      | sk_c8 != multiply(X7,sk_c6)
      | sk_c8 != inverse(X6)
      | sk_c7 != multiply(sk_c8,multiply(X6,sk_c8))
      | sP0(sk_c7)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sP1(sk_c7)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8)
      | sP2(sk_c6) ),
    inference(equality_resolution,[],[f44]) ).

fof(f44,plain,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != inverse(X7)
      | sk_c8 != multiply(X7,sk_c6)
      | sk_c8 != inverse(X6)
      | multiply(X6,sk_c8) != X5
      | sk_c7 != multiply(sk_c8,X5)
      | sP0(sk_c7)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sP1(sk_c7)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8)
      | sP2(sk_c6) ),
    inference(inequality_splitting,[],[f40,f43,f42,f41]) ).

fof(f41,plain,
    ~ sP0(multiply(sk_c6,sk_c8)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f42,plain,
    ~ sP1(multiply(sk_c8,sk_c6)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f43,plain,
    ~ sP2(multiply(sk_c8,sk_c7)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f40,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != inverse(X7)
      | sk_c8 != multiply(X7,sk_c6)
      | sk_c8 != inverse(X6)
      | multiply(X6,sk_c8) != X5
      | sk_c7 != multiply(sk_c8,X5)
      | sk_c7 != multiply(sk_c6,sk_c8)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8)
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_37) ).

fof(f146,plain,
    ~ spl3_15,
    inference(avatar_split_clause,[],[f41,f143]) ).

fof(f141,plain,
    spl3_14,
    inference(avatar_split_clause,[],[f46,f138]) ).

fof(f138,plain,
    ( spl3_14
  <=> sP1(multiply(sk_c8,sk_c6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f46,plain,
    sP1(multiply(sk_c8,sk_c6)),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f136,plain,
    ~ spl3_13,
    inference(avatar_split_clause,[],[f43,f133]) ).

fof(f133,plain,
    ( spl3_13
  <=> sP2(multiply(sk_c8,sk_c7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f131,plain,
    ( spl3_12
    | spl3_7 ),
    inference(avatar_split_clause,[],[f39,f78,f123]) ).

fof(f39,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_36) ).

fof(f130,plain,
    ( spl3_12
    | spl3_6 ),
    inference(avatar_split_clause,[],[f38,f73,f123]) ).

fof(f38,axiom,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_35) ).

fof(f129,plain,
    ( spl3_12
    | spl3_5 ),
    inference(avatar_split_clause,[],[f37,f68,f123]) ).

fof(f37,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_34) ).

fof(f128,plain,
    ( spl3_12
    | spl3_4 ),
    inference(avatar_split_clause,[],[f36,f63,f123]) ).

fof(f36,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_33) ).

fof(f127,plain,
    ( spl3_12
    | spl3_3 ),
    inference(avatar_split_clause,[],[f35,f58,f123]) ).

fof(f58,plain,
    ( spl3_3
  <=> sk_c7 = multiply(sk_c8,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f35,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_32) ).

fof(f126,plain,
    ( spl3_12
    | spl3_2 ),
    inference(avatar_split_clause,[],[f34,f53,f123]) ).

fof(f34,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_31) ).

fof(f121,plain,
    ( spl3_11
    | spl3_7 ),
    inference(avatar_split_clause,[],[f33,f78,f113]) ).

fof(f33,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_30) ).

fof(f120,plain,
    ( spl3_11
    | spl3_6 ),
    inference(avatar_split_clause,[],[f32,f73,f113]) ).

fof(f32,axiom,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_29) ).

fof(f119,plain,
    ( spl3_11
    | spl3_5 ),
    inference(avatar_split_clause,[],[f31,f68,f113]) ).

fof(f31,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_28) ).

fof(f118,plain,
    ( spl3_11
    | spl3_4 ),
    inference(avatar_split_clause,[],[f30,f63,f113]) ).

fof(f30,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_27) ).

fof(f117,plain,
    ( spl3_11
    | spl3_3 ),
    inference(avatar_split_clause,[],[f29,f58,f113]) ).

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_26) ).

fof(f116,plain,
    ( spl3_11
    | spl3_2 ),
    inference(avatar_split_clause,[],[f28,f53,f113]) ).

fof(f28,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_25) ).

fof(f111,plain,
    ( spl3_10
    | spl3_7 ),
    inference(avatar_split_clause,[],[f27,f78,f103]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_24) ).

fof(f110,plain,
    ( spl3_10
    | spl3_6 ),
    inference(avatar_split_clause,[],[f26,f73,f103]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_23) ).

fof(f109,plain,
    ( spl3_10
    | spl3_5 ),
    inference(avatar_split_clause,[],[f25,f68,f103]) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_22) ).

fof(f108,plain,
    ( spl3_10
    | spl3_4 ),
    inference(avatar_split_clause,[],[f24,f63,f103]) ).

fof(f24,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_21) ).

fof(f107,plain,
    ( spl3_10
    | spl3_3 ),
    inference(avatar_split_clause,[],[f23,f58,f103]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_20) ).

fof(f106,plain,
    ( spl3_10
    | spl3_2 ),
    inference(avatar_split_clause,[],[f22,f53,f103]) ).

fof(f22,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_19) ).

fof(f101,plain,
    ( spl3_9
    | spl3_7 ),
    inference(avatar_split_clause,[],[f21,f78,f93]) ).

fof(f21,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_18) ).

fof(f100,plain,
    ( spl3_9
    | spl3_6 ),
    inference(avatar_split_clause,[],[f20,f73,f93]) ).

fof(f20,axiom,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_17) ).

fof(f99,plain,
    ( spl3_9
    | spl3_5 ),
    inference(avatar_split_clause,[],[f19,f68,f93]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_16) ).

fof(f96,plain,
    ( spl3_9
    | spl3_2 ),
    inference(avatar_split_clause,[],[f16,f53,f93]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_13) ).

fof(f91,plain,
    ( spl3_8
    | spl3_7 ),
    inference(avatar_split_clause,[],[f15,f78,f83]) ).

fof(f15,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_12) ).

fof(f90,plain,
    ( spl3_8
    | spl3_6 ),
    inference(avatar_split_clause,[],[f14,f73,f83]) ).

fof(f14,axiom,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_11) ).

fof(f89,plain,
    ( spl3_8
    | spl3_5 ),
    inference(avatar_split_clause,[],[f13,f68,f83]) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_10) ).

fof(f86,plain,
    ( spl3_8
    | spl3_2 ),
    inference(avatar_split_clause,[],[f10,f53,f83]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_7) ).

fof(f81,plain,
    ( spl3_1
    | spl3_7 ),
    inference(avatar_split_clause,[],[f9,f78,f49]) ).

fof(f9,axiom,
    ( sk_c6 = inverse(sk_c5)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_6) ).

fof(f76,plain,
    ( spl3_1
    | spl3_6 ),
    inference(avatar_split_clause,[],[f8,f73,f49]) ).

fof(f8,axiom,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_5) ).

fof(f71,plain,
    ( spl3_1
    | spl3_5 ),
    inference(avatar_split_clause,[],[f7,f68,f49]) ).

fof(f7,axiom,
    ( sk_c8 = inverse(sk_c3)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_4) ).

fof(f66,plain,
    ( spl3_1
    | spl3_4 ),
    inference(avatar_split_clause,[],[f6,f63,f49]) ).

fof(f6,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_3) ).

fof(f61,plain,
    ( spl3_1
    | spl3_3 ),
    inference(avatar_split_clause,[],[f5,f58,f49]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c4)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_2) ).

fof(f56,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f4,f53,f49]) ).

fof(f4,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP296-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 20:50:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.aa0BM0FOcC/Vampire---4.8_31142
% 0.61/0.84  % (31408)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)
% 0.61/0.84  % (31402)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)
% 0.61/0.84  % (31404)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.84  % (31403)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)
% 0.61/0.84  % (31405)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)
% 0.61/0.84  % (31406)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)
% 0.61/0.84  % (31407)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)
% 0.61/0.84  % (31402)Refutation not found, incomplete strategy% (31402)------------------------------
% 0.61/0.84  % (31402)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (31402)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  % (31405)Refutation not found, incomplete strategy% (31405)------------------------------
% 0.61/0.84  % (31405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (31405)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (31405)Memory used [KB]: 983
% 0.61/0.84  % (31405)Time elapsed: 0.003 s
% 0.61/0.84  % (31405)Instructions burned: 4 (million)
% 0.61/0.84  
% 0.61/0.84  % (31402)Memory used [KB]: 1002
% 0.61/0.84  % (31409)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)
% 0.61/0.84  % (31402)Time elapsed: 0.004 s
% 0.61/0.84  % (31402)Instructions burned: 4 (million)
% 0.61/0.84  % (31406)Refutation not found, incomplete strategy% (31406)------------------------------
% 0.61/0.84  % (31406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (31406)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (31406)Memory used [KB]: 1001
% 0.61/0.84  % (31405)------------------------------
% 0.61/0.84  % (31405)------------------------------
% 0.61/0.84  % (31406)Time elapsed: 0.004 s
% 0.61/0.84  % (31406)Instructions burned: 5 (million)
% 0.61/0.84  % (31402)------------------------------
% 0.61/0.84  % (31402)------------------------------
% 0.61/0.84  % (31406)------------------------------
% 0.61/0.84  % (31406)------------------------------
% 0.61/0.84  % (31408)Refutation not found, incomplete strategy% (31408)------------------------------
% 0.61/0.84  % (31408)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (31408)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (31408)Memory used [KB]: 1077
% 0.61/0.84  % (31408)Time elapsed: 0.005 s
% 0.61/0.84  % (31408)Instructions burned: 8 (million)
% 0.61/0.84  % (31408)------------------------------
% 0.61/0.84  % (31408)------------------------------
% 0.61/0.84  % (31404)Refutation not found, incomplete strategy% (31404)------------------------------
% 0.61/0.84  % (31404)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (31404)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (31404)Memory used [KB]: 1064
% 0.61/0.84  % (31404)Time elapsed: 0.005 s
% 0.61/0.84  % (31404)Instructions burned: 7 (million)
% 0.61/0.84  % (31409)Refutation not found, incomplete strategy% (31409)------------------------------
% 0.61/0.84  % (31409)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (31409)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (31409)Memory used [KB]: 987
% 0.61/0.84  % (31409)Time elapsed: 0.004 s
% 0.61/0.84  % (31409)Instructions burned: 4 (million)
% 0.61/0.84  % (31404)------------------------------
% 0.61/0.84  % (31404)------------------------------
% 0.61/0.84  % (31409)------------------------------
% 0.61/0.84  % (31409)------------------------------
% 0.61/0.84  % (31413)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)
% 0.61/0.84  % (31410)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)
% 0.61/0.84  % (31411)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)
% 0.61/0.84  % (31412)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)
% 0.61/0.84  % (31414)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)
% 0.61/0.84  % (31415)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)
% 0.61/0.85  % (31411)Refutation not found, incomplete strategy% (31411)------------------------------
% 0.61/0.85  % (31411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (31411)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.85  
% 0.61/0.85  % (31411)Memory used [KB]: 993
% 0.61/0.85  % (31411)Time elapsed: 0.004 s
% 0.61/0.85  % (31411)Instructions burned: 6 (million)
% 0.61/0.85  % (31411)------------------------------
% 0.61/0.85  % (31411)------------------------------
% 0.61/0.85  % (31415)Refutation not found, incomplete strategy% (31415)------------------------------
% 0.61/0.85  % (31415)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (31415)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.85  
% 0.61/0.85  % (31415)Memory used [KB]: 1008
% 0.61/0.85  % (31415)Time elapsed: 0.004 s
% 0.61/0.85  % (31415)Instructions burned: 4 (million)
% 0.61/0.85  % (31410)Refutation not found, incomplete strategy% (31410)------------------------------
% 0.61/0.85  % (31410)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (31410)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.85  
% 0.61/0.85  % (31410)Memory used [KB]: 1075
% 0.61/0.85  % (31410)Time elapsed: 0.006 s
% 0.61/0.85  % (31410)Instructions burned: 7 (million)
% 0.61/0.85  % (31415)------------------------------
% 0.61/0.85  % (31415)------------------------------
% 0.61/0.85  % (31410)------------------------------
% 0.61/0.85  % (31410)------------------------------
% 0.61/0.85  % (31416)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)
% 0.61/0.85  % (31417)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)
% 0.73/0.85  % (31417)Refutation not found, incomplete strategy% (31417)------------------------------
% 0.73/0.85  % (31417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.85  % (31417)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.85  
% 0.73/0.85  % (31417)Memory used [KB]: 988
% 0.73/0.85  % (31417)Time elapsed: 0.004 s
% 0.73/0.85  % (31417)Instructions burned: 4 (million)
% 0.73/0.85  % (31417)------------------------------
% 0.73/0.85  % (31417)------------------------------
% 0.73/0.85  % (31412)Refutation not found, incomplete strategy% (31412)------------------------------
% 0.73/0.85  % (31412)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.85  % (31412)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.85  
% 0.73/0.85  % (31412)Memory used [KB]: 1208
% 0.73/0.85  % (31412)Time elapsed: 0.012 s
% 0.73/0.85  % (31412)Instructions burned: 19 (million)
% 0.73/0.85  % (31412)------------------------------
% 0.73/0.85  % (31412)------------------------------
% 0.73/0.86  % (31418)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)
% 0.73/0.86  % (31407)Instruction limit reached!
% 0.73/0.86  % (31407)------------------------------
% 0.73/0.86  % (31407)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.86  % (31407)Termination reason: Unknown
% 0.73/0.86  % (31407)Termination phase: Saturation
% 0.73/0.86  
% 0.73/0.86  % (31407)Memory used [KB]: 1636
% 0.73/0.86  % (31407)Time elapsed: 0.023 s
% 0.73/0.86  % (31407)Instructions burned: 45 (million)
% 0.73/0.86  % (31407)------------------------------
% 0.73/0.86  % (31407)------------------------------
% 0.73/0.86  % (31419)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)
% 0.73/0.86  % (31420)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)
% 0.73/0.86  % (31418)Refutation not found, incomplete strategy% (31418)------------------------------
% 0.73/0.86  % (31418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.86  % (31418)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.86  
% 0.73/0.86  % (31418)Memory used [KB]: 1003
% 0.73/0.86  % (31418)Time elapsed: 0.004 s
% 0.73/0.86  % (31418)Instructions burned: 4 (million)
% 0.73/0.86  % (31418)------------------------------
% 0.73/0.86  % (31418)------------------------------
% 0.73/0.86  % (31420)Refutation not found, incomplete strategy% (31420)------------------------------
% 0.73/0.86  % (31420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.86  % (31420)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.86  
% 0.73/0.86  % (31420)Memory used [KB]: 988
% 0.73/0.86  % (31420)Time elapsed: 0.004 s
% 0.73/0.86  % (31420)Instructions burned: 3 (million)
% 0.73/0.86  % (31420)------------------------------
% 0.73/0.86  % (31420)------------------------------
% 0.73/0.86  % (31413)Instruction limit reached!
% 0.73/0.86  % (31413)------------------------------
% 0.73/0.86  % (31413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.86  % (31413)Termination reason: Unknown
% 0.73/0.86  % (31413)Termination phase: Saturation
% 0.73/0.86  
% 0.73/0.86  % (31413)Memory used [KB]: 1506
% 0.73/0.86  % (31413)Time elapsed: 0.021 s
% 0.73/0.86  % (31413)Instructions burned: 54 (million)
% 0.73/0.86  % (31413)------------------------------
% 0.73/0.86  % (31413)------------------------------
% 0.73/0.86  % (31421)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 (2994ds/32Mi)
% 0.73/0.86  % (31403)Instruction limit reached!
% 0.73/0.86  % (31403)------------------------------
% 0.73/0.86  % (31403)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.86  % (31403)Termination reason: Unknown
% 0.73/0.86  % (31403)Termination phase: Saturation
% 0.73/0.86  
% 0.73/0.86  % (31403)Memory used [KB]: 1640
% 0.73/0.86  % (31403)Time elapsed: 0.028 s
% 0.73/0.86  % (31403)Instructions burned: 51 (million)
% 0.73/0.86  % (31403)------------------------------
% 0.73/0.86  % (31403)------------------------------
% 0.73/0.86  % (31422)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 (2994ds/1919Mi)
% 0.73/0.87  % (31423)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 (2994ds/55Mi)
% 0.73/0.87  % (31426)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 (2994ds/46Mi)
% 0.73/0.87  % (31423)Refutation not found, incomplete strategy% (31423)------------------------------
% 0.73/0.87  % (31423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.87  % (31423)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.87  
% 0.73/0.87  % (31423)Memory used [KB]: 1004
% 0.73/0.87  % (31423)Time elapsed: 0.005 s
% 0.73/0.87  % (31423)Instructions burned: 5 (million)
% 0.73/0.87  % (31422)Refutation not found, incomplete strategy% (31422)------------------------------
% 0.73/0.87  % (31422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.87  % (31422)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.87  
% 0.73/0.87  % (31422)Memory used [KB]: 1065
% 0.73/0.87  % (31422)Time elapsed: 0.006 s
% 0.73/0.87  % (31422)Instructions burned: 8 (million)
% 0.73/0.87  % (31423)------------------------------
% 0.73/0.87  % (31423)------------------------------
% 0.73/0.87  % (31422)------------------------------
% 0.73/0.87  % (31422)------------------------------
% 0.73/0.87  % (31426)Refutation not found, incomplete strategy% (31426)------------------------------
% 0.73/0.87  % (31426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.87  % (31426)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.87  
% 0.73/0.87  % (31426)Memory used [KB]: 1001
% 0.73/0.87  % (31426)Time elapsed: 0.004 s
% 0.73/0.87  % (31426)Instructions burned: 4 (million)
% 0.73/0.87  % (31426)------------------------------
% 0.73/0.87  % (31426)------------------------------
% 0.73/0.87  % (31427)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 (2994ds/102Mi)
% 0.73/0.87  % (31428)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 (2994ds/35Mi)
% 0.73/0.87  % (31424)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 (2994ds/53Mi)
% 0.73/0.88  % (31433)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 0.73/0.88  % (31421)Instruction limit reached!
% 0.73/0.88  % (31421)------------------------------
% 0.73/0.88  % (31421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.88  % (31421)Termination reason: Unknown
% 0.73/0.88  % (31421)Termination phase: Saturation
% 0.73/0.88  
% 0.73/0.88  % (31421)Memory used [KB]: 1317
% 0.73/0.88  % (31421)Time elapsed: 0.018 s
% 0.73/0.88  % (31421)Instructions burned: 33 (million)
% 0.73/0.88  % (31421)------------------------------
% 0.73/0.88  % (31421)------------------------------
% 0.73/0.89  % (31444)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 (2994ds/109Mi)
% 0.88/0.90  % (31428)Instruction limit reached!
% 0.88/0.90  % (31428)------------------------------
% 0.88/0.90  % (31428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.90  % (31428)Termination reason: Unknown
% 0.88/0.90  % (31428)Termination phase: Saturation
% 0.88/0.90  
% 0.88/0.90  % (31428)Memory used [KB]: 1177
% 0.88/0.90  % (31428)Time elapsed: 0.029 s
% 0.88/0.90  % (31428)Instructions burned: 36 (million)
% 0.88/0.90  % (31428)------------------------------
% 0.88/0.90  % (31428)------------------------------
% 0.88/0.90  % (31419)Instruction limit reached!
% 0.88/0.90  % (31419)------------------------------
% 0.88/0.90  % (31419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.90  % (31419)Termination reason: Unknown
% 0.88/0.90  % (31419)Termination phase: Saturation
% 0.88/0.90  
% 0.88/0.90  % (31419)Memory used [KB]: 2188
% 0.88/0.90  % (31419)Time elapsed: 0.044 s
% 0.88/0.90  % (31419)Instructions burned: 93 (million)
% 0.88/0.90  % (31419)------------------------------
% 0.88/0.90  % (31419)------------------------------
% 0.88/0.90  % (31450)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 0.88/0.90  % (31449)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 0.88/0.90  % (31450)Refutation not found, incomplete strategy% (31450)------------------------------
% 0.88/0.90  % (31450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.90  % (31450)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.90  
% 0.88/0.90  % (31450)Memory used [KB]: 1011
% 0.88/0.90  % (31450)Time elapsed: 0.002 s
% 0.88/0.90  % (31450)Instructions burned: 4 (million)
% 0.88/0.91  % (31450)------------------------------
% 0.88/0.91  % (31450)------------------------------
% 0.88/0.91  % (31433)Instruction limit reached!
% 0.88/0.91  % (31433)------------------------------
% 0.88/0.91  % (31433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.91  % (31433)Termination reason: Unknown
% 0.88/0.91  % (31433)Termination phase: Saturation
% 0.88/0.91  
% 0.88/0.91  % (31433)Memory used [KB]: 1404
% 0.88/0.91  % (31433)Time elapsed: 0.054 s
% 0.88/0.91  % (31433)Instructions burned: 87 (million)
% 0.88/0.91  % (31433)------------------------------
% 0.88/0.91  % (31433)------------------------------
% 0.88/0.91  % (31449)Refutation not found, incomplete strategy% (31449)------------------------------
% 0.88/0.91  % (31449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.91  % (31449)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.91  
% 0.88/0.91  % (31449)Memory used [KB]: 982
% 0.88/0.91  % (31449)Time elapsed: 0.003 s
% 0.88/0.91  % (31449)Instructions burned: 4 (million)
% 0.88/0.91  % (31449)------------------------------
% 0.88/0.91  % (31449)------------------------------
% 0.88/0.91  % (31451)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 0.88/0.91  % (31424)Instruction limit reached!
% 0.88/0.91  % (31424)------------------------------
% 0.88/0.91  % (31424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.91  % (31424)Termination reason: Unknown
% 0.88/0.91  % (31424)Termination phase: Saturation
% 0.88/0.91  
% 0.88/0.91  % (31424)Memory used [KB]: 1184
% 0.88/0.91  % (31424)Time elapsed: 0.060 s
% 0.88/0.91  % (31424)Instructions burned: 55 (million)
% 0.88/0.91  % (31424)------------------------------
% 0.88/0.91  % (31424)------------------------------
% 0.88/0.91  % (31452)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 0.88/0.91  % (31444)First to succeed.
% 0.88/0.91  % (31453)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 0.88/0.91  % (31454)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 (2994ds/80Mi)
% 0.88/0.91  % (31444)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31398"
% 0.88/0.91  % (31444)Refutation found. Thanks to Tanya!
% 0.88/0.91  % SZS status Unsatisfiable for Vampire---4
% 0.88/0.91  % SZS output start Proof for Vampire---4
% See solution above
% 0.88/0.91  % (31444)------------------------------
% 0.88/0.91  % (31444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.91  % (31444)Termination reason: Refutation
% 0.88/0.91  
% 0.88/0.91  % (31444)Memory used [KB]: 1304
% 0.88/0.91  % (31444)Time elapsed: 0.030 s
% 0.88/0.91  % (31444)Instructions burned: 38 (million)
% 0.88/0.91  % (31398)Success in time 0.549 s
% 0.88/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------