TSTP Solution File: GRP362-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP362-1 : 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 : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:47:32 EDT 2024

% Result   : Unsatisfiable 0.68s 0.64s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  104
% Syntax   : Number of formulae    :  299 (  10 unt;   0 def)
%            Number of atoms       :  833 ( 373 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  971 ( 437   ~; 485   |;   0   &)
%                                         (  49 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   53 (  51 usr;  50 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   63 (  63   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f843,plain,
    $false,
    inference(avatar_sat_refutation,[],[f76,f81,f86,f91,f111,f116,f121,f122,f123,f124,f128,f129,f134,f135,f136,f137,f141,f142,f147,f148,f149,f150,f151,f152,f154,f155,f160,f161,f162,f163,f173,f174,f175,f176,f180,f181,f186,f191,f209,f211,f225,f230,f235,f236,f282,f287,f292,f297,f302,f305,f307,f323,f334,f360,f369,f377,f378,f379,f395,f397,f416,f467,f487,f492,f493,f494,f499,f504,f509,f535,f537,f574,f577,f610,f613,f620,f629,f667,f684,f749,f768,f827,f828,f833,f834,f835,f836,f837,f838,f842]) ).

fof(f842,plain,
    ( sk_c7 != multiply(sk_c9,identity)
    | sk_c4 != multiply(sk_c9,sk_c9)
    | sk_c2 != multiply(sk_c9,sk_c9)
    | identity != multiply(sk_c9,sk_c10)
    | sk_c3 != multiply(sk_c9,identity)
    | sk_c9 != multiply(sk_c10,sk_c4)
    | sk_c10 != multiply(sk_c10,sk_c4)
    | sk_c10 != multiply(sk_c7,sk_c8)
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f838,plain,
    ( sk_c9 != multiply(sk_c10,sk_c4)
    | sk_c10 != multiply(sk_c10,sk_c4)
    | sk_c9 = sk_c10 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f837,plain,
    ( sk_c7 != multiply(sk_c9,identity)
    | sk_c4 != multiply(sk_c9,sk_c9)
    | sk_c2 != multiply(sk_c9,sk_c9)
    | identity != multiply(sk_c9,sk_c10)
    | sk_c3 != multiply(sk_c9,identity)
    | sk_c9 != multiply(sk_c10,sk_c4)
    | sk_c10 != multiply(sk_c10,sk_c4)
    | sk_c10 != multiply(sk_c7,sk_c8)
    | sP1(sk_c10)
    | ~ sP1(multiply(sk_c9,sk_c8)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f836,plain,
    ( sk_c9 != multiply(sk_c10,sk_c8)
    | sk_c9 != multiply(sk_c10,sk_c4)
    | sk_c10 != multiply(sk_c10,sk_c4)
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f835,plain,
    ( sk_c9 != multiply(sk_c10,sk_c8)
    | sk_c9 != multiply(sk_c10,sk_c4)
    | sk_c10 != multiply(sk_c10,sk_c4)
    | sP1(sk_c10)
    | ~ sP1(multiply(sk_c9,sk_c8)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f834,plain,
    ( sk_c9 != inverse(sk_c10)
    | sk_c9 != multiply(sk_c10,sk_c4)
    | sk_c10 != multiply(sk_c10,sk_c4)
    | sk_c10 = inverse(sk_c9) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f833,plain,
    ( sk_c4 != multiply(sk_c9,sk_c9)
    | sk_c8 != multiply(sk_c9,sk_c9)
    | sk_c9 != multiply(sk_c10,sk_c4)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f828,plain,
    ( sk_c4 != multiply(sk_c9,sk_c9)
    | sk_c8 != multiply(sk_c9,sk_c9)
    | sk_c9 != multiply(sk_c10,sk_c4)
    | sP0(sk_c9)
    | ~ sP0(multiply(sk_c10,sk_c8)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f827,plain,
    ( ~ spl2_22
    | ~ spl2_41
    | ~ spl2_43
    | ~ spl2_47
    | ~ spl2_63 ),
    inference(avatar_contradiction_clause,[],[f826]) ).

fof(f826,plain,
    ( $false
    | ~ spl2_22
    | ~ spl2_41
    | ~ spl2_43
    | ~ spl2_47
    | ~ spl2_63 ),
    inference(subsumption_resolution,[],[f815,f466]) ).

fof(f466,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl2_47 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f464,plain,
    ( spl2_47
  <=> sk_c9 = inverse(sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).

fof(f815,plain,
    ( sk_c9 != inverse(sk_c9)
    | ~ spl2_22
    | ~ spl2_41
    | ~ spl2_43
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f812]) ).

fof(f812,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != inverse(sk_c9)
    | ~ spl2_22
    | ~ spl2_41
    | ~ spl2_43
    | ~ spl2_63 ),
    inference(superposition,[],[f638,f572]) ).

fof(f572,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | ~ spl2_63 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f571,plain,
    ( spl2_63
  <=> sk_c9 = multiply(sk_c9,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_63])]) ).

fof(f638,plain,
    ( ! [X9] :
        ( sk_c9 != multiply(X9,identity)
        | sk_c9 != inverse(X9) )
    | ~ spl2_22
    | ~ spl2_41
    | ~ spl2_43 ),
    inference(backward_demodulation,[],[f579,f412]) ).

fof(f412,plain,
    ( identity = sk_c8
    | ~ spl2_43 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl2_43
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).

fof(f579,plain,
    ( ! [X9] :
        ( sk_c9 != multiply(X9,sk_c8)
        | sk_c9 != inverse(X9) )
    | ~ spl2_22
    | ~ spl2_41 ),
    inference(forward_demodulation,[],[f578,f383]) ).

fof(f383,plain,
    ( sk_c9 = sk_c10
    | ~ spl2_41 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl2_41
  <=> sk_c9 = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).

fof(f578,plain,
    ( ! [X9] :
        ( sk_c9 != multiply(X9,sk_c8)
        | sk_c10 != inverse(X9) )
    | ~ spl2_22
    | ~ spl2_41 ),
    inference(forward_demodulation,[],[f208,f383]) ).

fof(f208,plain,
    ( ! [X9] :
        ( sk_c10 != multiply(X9,sk_c8)
        | sk_c10 != inverse(X9) )
    | ~ spl2_22 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl2_22
  <=> ! [X9] :
        ( sk_c10 != multiply(X9,sk_c8)
        | sk_c10 != inverse(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f768,plain,
    ( spl2_63
    | ~ spl2_53
    | ~ spl2_77 ),
    inference(avatar_split_clause,[],[f761,f746,f496,f571]) ).

fof(f496,plain,
    ( spl2_53
  <=> sk_c9 = multiply(sk_c9,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_53])]) ).

fof(f746,plain,
    ( spl2_77
  <=> identity = sk_c2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_77])]) ).

fof(f761,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | ~ spl2_53
    | ~ spl2_77 ),
    inference(backward_demodulation,[],[f498,f748]) ).

fof(f748,plain,
    ( identity = sk_c2
    | ~ spl2_77 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f498,plain,
    ( sk_c9 = multiply(sk_c9,sk_c2)
    | ~ spl2_53 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f749,plain,
    ( spl2_77
    | ~ spl2_33
    | ~ spl2_59 ),
    inference(avatar_split_clause,[],[f744,f526,f299,f746]) ).

fof(f299,plain,
    ( spl2_33
  <=> sk_c2 = multiply(sk_c9,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).

fof(f526,plain,
    ( spl2_59
  <=> identity = multiply(sk_c9,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_59])]) ).

fof(f744,plain,
    ( identity = sk_c2
    | ~ spl2_33
    | ~ spl2_59 ),
    inference(forward_demodulation,[],[f301,f528]) ).

fof(f528,plain,
    ( identity = multiply(sk_c9,sk_c9)
    | ~ spl2_59 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f301,plain,
    ( sk_c2 = multiply(sk_c9,sk_c9)
    | ~ spl2_33 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f684,plain,
    ( spl2_63
    | ~ spl2_72 ),
    inference(avatar_split_clause,[],[f681,f659,f571]) ).

fof(f659,plain,
    ( spl2_72
  <=> sk_c9 = multiply(sk_c7,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_72])]) ).

fof(f681,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | ~ spl2_72 ),
    inference(backward_demodulation,[],[f660,f669]) ).

fof(f669,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,X0)
    | ~ spl2_72 ),
    inference(forward_demodulation,[],[f668,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',left_identity) ).

fof(f668,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl2_72 ),
    inference(superposition,[],[f3,f660]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',associativity) ).

fof(f660,plain,
    ( sk_c9 = multiply(sk_c7,identity)
    | ~ spl2_72 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f667,plain,
    ( spl2_72
    | ~ spl2_10
    | ~ spl2_41
    | ~ spl2_43 ),
    inference(avatar_split_clause,[],[f666,f411,f382,f113,f659]) ).

fof(f113,plain,
    ( spl2_10
  <=> sk_c10 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f666,plain,
    ( sk_c9 = multiply(sk_c7,identity)
    | ~ spl2_10
    | ~ spl2_41
    | ~ spl2_43 ),
    inference(forward_demodulation,[],[f665,f383]) ).

fof(f665,plain,
    ( sk_c10 = multiply(sk_c7,identity)
    | ~ spl2_10
    | ~ spl2_43 ),
    inference(forward_demodulation,[],[f115,f412]) ).

fof(f115,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f629,plain,
    ( ~ spl2_52
    | spl2_10
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f628,f382,f113,f489]) ).

fof(f489,plain,
    ( spl2_52
  <=> sk_c9 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).

fof(f628,plain,
    ( sk_c9 != multiply(sk_c7,sk_c8)
    | spl2_10
    | ~ spl2_41 ),
    inference(forward_demodulation,[],[f114,f383]) ).

fof(f114,plain,
    ( sk_c10 != multiply(sk_c7,sk_c8)
    | spl2_10 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f620,plain,
    ( sk_c9 != multiply(sk_c9,sk_c8)
    | identity != multiply(sk_c9,sk_c10)
    | sk_c8 != multiply(sk_c9,sk_c9)
    | sk_c7 != multiply(sk_c9,identity)
    | multiply(sk_c9,sk_c8) != sk_c10
    | sk_c9 != multiply(sk_c10,sk_c8)
    | sk_c9 = multiply(sk_c7,sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f613,plain,
    ( sk_c9 != multiply(sk_c9,sk_c8)
    | multiply(sk_c9,sk_c8) != sk_c10
    | sk_c8 != multiply(sk_c9,sk_c9)
    | identity != multiply(sk_c9,sk_c10)
    | identity = sk_c8 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f610,plain,
    ( ~ spl2_22
    | ~ spl2_41
    | ~ spl2_51
    | ~ spl2_52 ),
    inference(avatar_contradiction_clause,[],[f609]) ).

fof(f609,plain,
    ( $false
    | ~ spl2_22
    | ~ spl2_41
    | ~ spl2_51
    | ~ spl2_52 ),
    inference(subsumption_resolution,[],[f585,f486]) ).

fof(f486,plain,
    ( sk_c9 = inverse(sk_c7)
    | ~ spl2_51 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl2_51
  <=> sk_c9 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_51])]) ).

fof(f585,plain,
    ( sk_c9 != inverse(sk_c7)
    | ~ spl2_22
    | ~ spl2_41
    | ~ spl2_52 ),
    inference(trivial_inequality_removal,[],[f584]) ).

fof(f584,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != inverse(sk_c7)
    | ~ spl2_22
    | ~ spl2_41
    | ~ spl2_52 ),
    inference(superposition,[],[f579,f491]) ).

fof(f491,plain,
    ( sk_c9 = multiply(sk_c7,sk_c8)
    | ~ spl2_52 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f577,plain,
    ( ~ spl2_20
    | ~ spl2_41
    | ~ spl2_53
    | ~ spl2_54
    | ~ spl2_55 ),
    inference(avatar_contradiction_clause,[],[f576]) ).

fof(f576,plain,
    ( $false
    | ~ spl2_20
    | ~ spl2_41
    | ~ spl2_53
    | ~ spl2_54
    | ~ spl2_55 ),
    inference(subsumption_resolution,[],[f575,f508]) ).

fof(f508,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl2_55 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f506,plain,
    ( spl2_55
  <=> sk_c9 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_55])]) ).

fof(f575,plain,
    ( sk_c9 != inverse(sk_c1)
    | ~ spl2_20
    | ~ spl2_41
    | ~ spl2_53
    | ~ spl2_54 ),
    inference(subsumption_resolution,[],[f558,f498]) ).

fof(f558,plain,
    ( sk_c9 != multiply(sk_c9,sk_c2)
    | sk_c9 != inverse(sk_c1)
    | ~ spl2_20
    | ~ spl2_41
    | ~ spl2_54 ),
    inference(superposition,[],[f548,f503]) ).

fof(f503,plain,
    ( sk_c2 = multiply(sk_c1,sk_c9)
    | ~ spl2_54 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl2_54
  <=> sk_c2 = multiply(sk_c1,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_54])]) ).

fof(f548,plain,
    ( ! [X4] :
        ( sk_c9 != multiply(sk_c9,multiply(X4,sk_c9))
        | sk_c9 != inverse(X4) )
    | ~ spl2_20
    | ~ spl2_41 ),
    inference(forward_demodulation,[],[f547,f383]) ).

fof(f547,plain,
    ( ! [X4] :
        ( sk_c9 != inverse(X4)
        | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10)) )
    | ~ spl2_20
    | ~ spl2_41 ),
    inference(forward_demodulation,[],[f202,f383]) ).

fof(f202,plain,
    ( ! [X4] :
        ( sk_c10 != inverse(X4)
        | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10)) )
    | ~ spl2_20 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f201,plain,
    ( spl2_20
  <=> ! [X4] :
        ( sk_c10 != inverse(X4)
        | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f574,plain,
    ( ~ spl2_63
    | ~ spl2_20
    | ~ spl2_41
    | ~ spl2_47 ),
    inference(avatar_split_clause,[],[f569,f464,f382,f201,f571]) ).

fof(f569,plain,
    ( sk_c9 != multiply(sk_c9,identity)
    | ~ spl2_20
    | ~ spl2_41
    | ~ spl2_47 ),
    inference(subsumption_resolution,[],[f568,f466]) ).

fof(f568,plain,
    ( sk_c9 != inverse(sk_c9)
    | sk_c9 != multiply(sk_c9,identity)
    | ~ spl2_20
    | ~ spl2_41
    | ~ spl2_47 ),
    inference(forward_demodulation,[],[f557,f466]) ).

fof(f557,plain,
    ( sk_c9 != multiply(sk_c9,identity)
    | sk_c9 != inverse(inverse(sk_c9))
    | ~ spl2_20
    | ~ spl2_41 ),
    inference(superposition,[],[f548,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',left_inverse) ).

fof(f537,plain,
    ( spl2_59
    | ~ spl2_47 ),
    inference(avatar_split_clause,[],[f536,f464,f526]) ).

fof(f536,plain,
    ( identity = multiply(sk_c9,sk_c9)
    | ~ spl2_47 ),
    inference(superposition,[],[f2,f466]) ).

fof(f535,plain,
    ( spl2_29
    | ~ spl2_35
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f461,f382,f331,f279]) ).

fof(f279,plain,
    ( spl2_29
  <=> sk_c8 = multiply(sk_c9,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).

fof(f331,plain,
    ( spl2_35
  <=> sk_c8 = multiply(sk_c10,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).

fof(f461,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | ~ spl2_35
    | ~ spl2_41 ),
    inference(backward_demodulation,[],[f333,f383]) ).

fof(f333,plain,
    ( sk_c8 = multiply(sk_c10,sk_c10)
    | ~ spl2_35 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f509,plain,
    ( spl2_55
    | ~ spl2_15
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f449,f382,f170,f506]) ).

fof(f170,plain,
    ( spl2_15
  <=> sk_c10 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f449,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl2_15
    | ~ spl2_41 ),
    inference(backward_demodulation,[],[f172,f383]) ).

fof(f172,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl2_15 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f504,plain,
    ( spl2_54
    | ~ spl2_14
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f448,f382,f157,f501]) ).

fof(f157,plain,
    ( spl2_14
  <=> sk_c2 = multiply(sk_c1,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f448,plain,
    ( sk_c2 = multiply(sk_c1,sk_c9)
    | ~ spl2_14
    | ~ spl2_41 ),
    inference(backward_demodulation,[],[f159,f383]) ).

fof(f159,plain,
    ( sk_c2 = multiply(sk_c1,sk_c10)
    | ~ spl2_14 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f499,plain,
    ( spl2_53
    | ~ spl2_13
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f447,f382,f144,f496]) ).

fof(f144,plain,
    ( spl2_13
  <=> sk_c9 = multiply(sk_c10,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f447,plain,
    ( sk_c9 = multiply(sk_c9,sk_c2)
    | ~ spl2_13
    | ~ spl2_41 ),
    inference(backward_demodulation,[],[f146,f383]) ).

fof(f146,plain,
    ( sk_c9 = multiply(sk_c10,sk_c2)
    | ~ spl2_13 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f494,plain,
    ( spl2_40
    | ~ spl2_12
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f446,f382,f131,f374]) ).

fof(f374,plain,
    ( spl2_40
  <=> sk_c9 = multiply(sk_c9,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).

fof(f131,plain,
    ( spl2_12
  <=> sk_c9 = multiply(sk_c10,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f446,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl2_12
    | ~ spl2_41 ),
    inference(backward_demodulation,[],[f133,f383]) ).

fof(f133,plain,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f493,plain,
    ( spl2_47
    | ~ spl2_11
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f445,f382,f118,f464]) ).

fof(f118,plain,
    ( spl2_11
  <=> sk_c10 = inverse(sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f445,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl2_11
    | ~ spl2_41 ),
    inference(backward_demodulation,[],[f120,f383]) ).

fof(f120,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f492,plain,
    ( spl2_52
    | ~ spl2_10
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f444,f382,f113,f489]) ).

fof(f444,plain,
    ( sk_c9 = multiply(sk_c7,sk_c8)
    | ~ spl2_10
    | ~ spl2_41 ),
    inference(backward_demodulation,[],[f115,f383]) ).

fof(f487,plain,
    ( spl2_51
    | ~ spl2_9
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f443,f382,f108,f484]) ).

fof(f108,plain,
    ( spl2_9
  <=> sk_c10 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f443,plain,
    ( sk_c9 = inverse(sk_c7)
    | ~ spl2_9
    | ~ spl2_41 ),
    inference(backward_demodulation,[],[f110,f383]) ).

fof(f110,plain,
    ( sk_c10 = inverse(sk_c7)
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f467,plain,
    ( spl2_47
    | ~ spl2_2
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f439,f382,f73,f464]) ).

fof(f73,plain,
    ( spl2_2
  <=> sk_c9 = inverse(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f439,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl2_2
    | ~ spl2_41 ),
    inference(backward_demodulation,[],[f75,f383]) ).

fof(f75,plain,
    ( sk_c9 = inverse(sk_c10)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f416,plain,
    ( ~ spl2_29
    | ~ spl2_43
    | ~ spl2_2
    | ~ spl2_21
    | ~ spl2_27 ),
    inference(avatar_split_clause,[],[f415,f239,f204,f73,f411,f279]) ).

fof(f204,plain,
    ( spl2_21
  <=> ! [X7] :
        ( sk_c8 != multiply(inverse(X7),sk_c9)
        | sk_c8 != multiply(X7,inverse(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f239,plain,
    ( spl2_27
  <=> identity = multiply(sk_c10,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).

fof(f415,plain,
    ( identity != sk_c8
    | sk_c8 != multiply(sk_c9,sk_c9)
    | ~ spl2_2
    | ~ spl2_21
    | ~ spl2_27 ),
    inference(forward_demodulation,[],[f399,f241]) ).

fof(f241,plain,
    ( identity = multiply(sk_c10,sk_c9)
    | ~ spl2_27 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f399,plain,
    ( sk_c8 != multiply(sk_c9,sk_c9)
    | sk_c8 != multiply(sk_c10,sk_c9)
    | ~ spl2_2
    | ~ spl2_21 ),
    inference(superposition,[],[f205,f75]) ).

fof(f205,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(inverse(X7),sk_c9)
        | sk_c8 != multiply(X7,inverse(X7)) )
    | ~ spl2_21 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f397,plain,
    ( spl2_23
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f396,f73,f217]) ).

fof(f217,plain,
    ( spl2_23
  <=> identity = multiply(sk_c9,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f396,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl2_2 ),
    inference(superposition,[],[f2,f75]) ).

fof(f395,plain,
    ( spl2_41
    | ~ spl2_13
    | ~ spl2_14
    | ~ spl2_28 ),
    inference(avatar_split_clause,[],[f391,f245,f157,f144,f382]) ).

fof(f245,plain,
    ( spl2_28
  <=> identity = multiply(sk_c10,sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).

fof(f391,plain,
    ( sk_c9 = sk_c10
    | ~ spl2_13
    | ~ spl2_14
    | ~ spl2_28 ),
    inference(forward_demodulation,[],[f389,f146]) ).

fof(f389,plain,
    ( sk_c10 = multiply(sk_c10,sk_c2)
    | ~ spl2_14
    | ~ spl2_28 ),
    inference(superposition,[],[f316,f159]) ).

fof(f316,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
    | ~ spl2_28 ),
    inference(forward_demodulation,[],[f315,f1]) ).

fof(f315,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
    | ~ spl2_28 ),
    inference(superposition,[],[f3,f247]) ).

fof(f247,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl2_28 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f379,plain,
    ( sk_c9 != multiply(sk_c9,sk_c8)
    | multiply(sk_c9,sk_c8) != sk_c10
    | sk_c10 != inverse(sk_c9)
    | sk_c9 = inverse(sk_c10) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f378,plain,
    ( sk_c9 != multiply(sk_c9,sk_c8)
    | multiply(sk_c9,sk_c8) != sk_c10
    | identity != multiply(sk_c10,sk_c9)
    | identity = multiply(sk_c9,sk_c10) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f377,plain,
    ( spl2_40
    | ~ spl2_12
    | ~ spl2_39 ),
    inference(avatar_split_clause,[],[f372,f366,f131,f374]) ).

fof(f366,plain,
    ( spl2_39
  <=> sk_c8 = multiply(sk_c8,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).

fof(f372,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl2_12
    | ~ spl2_39 ),
    inference(forward_demodulation,[],[f370,f133]) ).

fof(f370,plain,
    ( multiply(sk_c9,sk_c8) = multiply(sk_c10,sk_c8)
    | ~ spl2_12
    | ~ spl2_39 ),
    inference(superposition,[],[f254,f368]) ).

fof(f368,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl2_39 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f254,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
    | ~ spl2_12 ),
    inference(superposition,[],[f3,f133]) ).

fof(f369,plain,
    ( spl2_39
    | ~ spl2_6
    | ~ spl2_38 ),
    inference(avatar_split_clause,[],[f364,f357,f93,f366]) ).

fof(f93,plain,
    ( spl2_6
  <=> sk_c8 = multiply(sk_c5,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f357,plain,
    ( spl2_38
  <=> sk_c6 = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).

fof(f364,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl2_6
    | ~ spl2_38 ),
    inference(forward_demodulation,[],[f362,f95]) ).

fof(f95,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f362,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c8,sk_c8)
    | ~ spl2_6
    | ~ spl2_38 ),
    inference(superposition,[],[f260,f359]) ).

fof(f359,plain,
    ( sk_c6 = multiply(sk_c6,sk_c8)
    | ~ spl2_38 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f260,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl2_6 ),
    inference(superposition,[],[f3,f95]) ).

fof(f360,plain,
    ( spl2_38
    | ~ spl2_6
    | ~ spl2_25 ),
    inference(avatar_split_clause,[],[f352,f227,f93,f357]) ).

fof(f227,plain,
    ( spl2_25
  <=> identity = multiply(sk_c6,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).

fof(f352,plain,
    ( sk_c6 = multiply(sk_c6,sk_c8)
    | ~ spl2_6
    | ~ spl2_25 ),
    inference(superposition,[],[f271,f95]) ).

fof(f271,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl2_25 ),
    inference(forward_demodulation,[],[f262,f1]) ).

fof(f262,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl2_25 ),
    inference(superposition,[],[f3,f229]) ).

fof(f229,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl2_25 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f334,plain,
    ( spl2_35
    | ~ spl2_10
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f328,f232,f113,f331]) ).

fof(f232,plain,
    ( spl2_26
  <=> identity = multiply(sk_c10,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f328,plain,
    ( sk_c8 = multiply(sk_c10,sk_c10)
    | ~ spl2_10
    | ~ spl2_26 ),
    inference(superposition,[],[f270,f115]) ).

fof(f270,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
    | ~ spl2_26 ),
    inference(forward_demodulation,[],[f257,f1]) ).

fof(f257,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
    | ~ spl2_26 ),
    inference(superposition,[],[f3,f234]) ).

fof(f234,plain,
    ( identity = multiply(sk_c10,sk_c7)
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f323,plain,
    ( spl2_34
    | ~ spl2_4
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f317,f222,f83,f320]) ).

fof(f320,plain,
    ( spl2_34
  <=> sk_c10 = multiply(sk_c10,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).

fof(f83,plain,
    ( spl2_4
  <=> sk_c4 = multiply(sk_c3,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f222,plain,
    ( spl2_24
  <=> identity = multiply(sk_c10,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f317,plain,
    ( sk_c10 = multiply(sk_c10,sk_c4)
    | ~ spl2_4
    | ~ spl2_24 ),
    inference(superposition,[],[f269,f85]) ).

fof(f85,plain,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f269,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f256,f1]) ).

fof(f256,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
    | ~ spl2_24 ),
    inference(superposition,[],[f3,f224]) ).

fof(f224,plain,
    ( identity = multiply(sk_c10,sk_c3)
    | ~ spl2_24 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f307,plain,
    ( spl2_28
    | ~ spl2_15 ),
    inference(avatar_split_clause,[],[f306,f170,f245]) ).

fof(f306,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl2_15 ),
    inference(superposition,[],[f2,f172]) ).

fof(f305,plain,
    ( spl2_27
    | ~ spl2_11 ),
    inference(avatar_split_clause,[],[f304,f118,f239]) ).

fof(f304,plain,
    ( identity = multiply(sk_c10,sk_c9)
    | ~ spl2_11 ),
    inference(superposition,[],[f2,f120]) ).

fof(f302,plain,
    ( spl2_33
    | ~ spl2_13
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f276,f217,f144,f299]) ).

fof(f276,plain,
    ( sk_c2 = multiply(sk_c9,sk_c9)
    | ~ spl2_13
    | ~ spl2_23 ),
    inference(superposition,[],[f268,f146]) ).

fof(f268,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f253,f1]) ).

fof(f253,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c10,X0))
    | ~ spl2_23 ),
    inference(superposition,[],[f3,f219]) ).

fof(f219,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl2_23 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f297,plain,
    ( spl2_32
    | ~ spl2_23
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f275,f232,f217,f294]) ).

fof(f294,plain,
    ( spl2_32
  <=> sk_c7 = multiply(sk_c9,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f275,plain,
    ( sk_c7 = multiply(sk_c9,identity)
    | ~ spl2_23
    | ~ spl2_26 ),
    inference(superposition,[],[f268,f234]) ).

fof(f292,plain,
    ( spl2_31
    | ~ spl2_23
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f274,f222,f217,f289]) ).

fof(f289,plain,
    ( spl2_31
  <=> sk_c3 = multiply(sk_c9,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f274,plain,
    ( sk_c3 = multiply(sk_c9,identity)
    | ~ spl2_23
    | ~ spl2_24 ),
    inference(superposition,[],[f268,f224]) ).

fof(f287,plain,
    ( spl2_30
    | ~ spl2_3
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f273,f217,f78,f284]) ).

fof(f284,plain,
    ( spl2_30
  <=> sk_c4 = multiply(sk_c9,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).

fof(f78,plain,
    ( spl2_3
  <=> sk_c9 = multiply(sk_c10,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f273,plain,
    ( sk_c4 = multiply(sk_c9,sk_c9)
    | ~ spl2_3
    | ~ spl2_23 ),
    inference(superposition,[],[f268,f80]) ).

fof(f80,plain,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f282,plain,
    ( spl2_29
    | ~ spl2_12
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f272,f217,f131,f279]) ).

fof(f272,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | ~ spl2_12
    | ~ spl2_23 ),
    inference(superposition,[],[f268,f133]) ).

fof(f236,plain,
    ( multiply(sk_c9,sk_c8) != sk_c10
    | sP1(sk_c10)
    | ~ sP1(multiply(sk_c9,sk_c8)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f235,plain,
    ( spl2_26
    | ~ spl2_9 ),
    inference(avatar_split_clause,[],[f215,f108,f232]) ).

fof(f215,plain,
    ( identity = multiply(sk_c10,sk_c7)
    | ~ spl2_9 ),
    inference(superposition,[],[f2,f110]) ).

fof(f230,plain,
    ( spl2_25
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f214,f98,f227]) ).

fof(f98,plain,
    ( spl2_7
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f214,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl2_7 ),
    inference(superposition,[],[f2,f100]) ).

fof(f100,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f225,plain,
    ( spl2_24
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f213,f88,f222]) ).

fof(f88,plain,
    ( spl2_5
  <=> sk_c10 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f213,plain,
    ( identity = multiply(sk_c10,sk_c3)
    | ~ spl2_5 ),
    inference(superposition,[],[f2,f90]) ).

fof(f90,plain,
    ( sk_c10 = inverse(sk_c3)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f211,plain,
    ( spl2_19
    | ~ spl2_12
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f210,f188,f131,f197]) ).

fof(f197,plain,
    ( spl2_19
  <=> sP0(sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f188,plain,
    ( spl2_17
  <=> sP0(multiply(sk_c10,sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f210,plain,
    ( sP0(sk_c9)
    | ~ spl2_12
    | ~ spl2_17 ),
    inference(backward_demodulation,[],[f190,f133]) ).

fof(f190,plain,
    ( sP0(multiply(sk_c10,sk_c8))
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f209,plain,
    ( ~ spl2_18
    | ~ spl2_11
    | ~ spl2_19
    | spl2_20
    | ~ spl2_2
    | spl2_20
    | spl2_21
    | spl2_22 ),
    inference(avatar_split_clause,[],[f67,f207,f204,f201,f73,f201,f197,f118,f193]) ).

fof(f193,plain,
    ( spl2_18
  <=> sP1(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f67,plain,
    ! [X6,X9,X7,X4] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(inverse(X7),sk_c9)
      | sk_c8 != multiply(X7,inverse(X7))
      | sk_c10 != inverse(X6)
      | sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
      | sk_c9 != inverse(sk_c10)
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
      | ~ sP0(sk_c9)
      | sk_c10 != inverse(sk_c9)
      | ~ sP1(sk_c10) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f64,plain,
    ! [X6,X9,X7,X4] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(inverse(X7),sk_c9)
      | sk_c8 != multiply(X7,inverse(X7))
      | sk_c10 != inverse(X6)
      | sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
      | sk_c9 != inverse(sk_c10)
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
      | sP0(sk_c9)
      | sk_c10 != inverse(sk_c9)
      | sP1(sk_c10) ),
    inference(equality_resolution,[],[f63]) ).

fof(f63,plain,
    ! [X3,X6,X9,X7,X4] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(inverse(X7),sk_c9)
      | sk_c8 != multiply(X7,inverse(X7))
      | sk_c10 != inverse(X6)
      | sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
      | sk_c9 != inverse(sk_c10)
      | sk_c10 != inverse(X4)
      | multiply(X4,sk_c10) != X3
      | sk_c9 != multiply(sk_c10,X3)
      | sP0(sk_c9)
      | sk_c10 != inverse(sk_c9)
      | sP1(sk_c10) ),
    inference(equality_resolution,[],[f62]) ).

fof(f62,plain,
    ! [X3,X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(inverse(X7),sk_c9)
      | sk_c8 != multiply(X7,inverse(X7))
      | sk_c10 != inverse(X6)
      | multiply(X6,sk_c10) != X5
      | sk_c9 != multiply(sk_c10,X5)
      | sk_c9 != inverse(sk_c10)
      | sk_c10 != inverse(X4)
      | multiply(X4,sk_c10) != X3
      | sk_c9 != multiply(sk_c10,X3)
      | sP0(sk_c9)
      | sk_c10 != inverse(sk_c9)
      | sP1(sk_c10) ),
    inference(equality_resolution,[],[f61]) ).

fof(f61,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(X8,sk_c9)
      | inverse(X7) != X8
      | sk_c8 != multiply(X7,X8)
      | sk_c10 != inverse(X6)
      | multiply(X6,sk_c10) != X5
      | sk_c9 != multiply(sk_c10,X5)
      | sk_c9 != inverse(sk_c10)
      | sk_c10 != inverse(X4)
      | multiply(X4,sk_c10) != X3
      | sk_c9 != multiply(sk_c10,X3)
      | sP0(sk_c9)
      | sk_c10 != inverse(sk_c9)
      | sP1(sk_c10) ),
    inference(inequality_splitting,[],[f58,f60,f59]) ).

fof(f59,plain,
    ~ sP0(multiply(sk_c10,sk_c8)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f60,plain,
    ~ sP1(multiply(sk_c9,sk_c8)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f58,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(X9,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != multiply(X8,sk_c9)
      | inverse(X7) != X8
      | sk_c8 != multiply(X7,X8)
      | sk_c10 != inverse(X6)
      | multiply(X6,sk_c10) != X5
      | sk_c9 != multiply(sk_c10,X5)
      | sk_c9 != inverse(sk_c10)
      | sk_c10 != inverse(X4)
      | multiply(X4,sk_c10) != X3
      | sk_c9 != multiply(sk_c10,X3)
      | sk_c9 != multiply(sk_c10,sk_c8)
      | sk_c10 != inverse(sk_c9)
      | multiply(sk_c9,sk_c8) != sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_55) ).

fof(f191,plain,
    spl2_17,
    inference(avatar_split_clause,[],[f66,f188]) ).

fof(f66,plain,
    sP0(multiply(sk_c10,sk_c8)),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f186,plain,
    spl2_16,
    inference(avatar_split_clause,[],[f65,f183]) ).

fof(f183,plain,
    ( spl2_16
  <=> sP1(multiply(sk_c9,sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f65,plain,
    sP1(multiply(sk_c9,sk_c8)),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f181,plain,
    ( spl2_15
    | spl2_10 ),
    inference(avatar_split_clause,[],[f57,f113,f170]) ).

fof(f57,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_54) ).

fof(f180,plain,
    ( spl2_15
    | spl2_9 ),
    inference(avatar_split_clause,[],[f56,f108,f170]) ).

fof(f56,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_53) ).

fof(f176,plain,
    ( spl2_15
    | spl2_5 ),
    inference(avatar_split_clause,[],[f52,f88,f170]) ).

fof(f52,axiom,
    ( sk_c10 = inverse(sk_c3)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_49) ).

fof(f175,plain,
    ( spl2_15
    | spl2_4 ),
    inference(avatar_split_clause,[],[f51,f83,f170]) ).

fof(f51,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_48) ).

fof(f174,plain,
    ( spl2_15
    | spl2_3 ),
    inference(avatar_split_clause,[],[f50,f78,f170]) ).

fof(f50,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_47) ).

fof(f173,plain,
    ( spl2_15
    | spl2_2 ),
    inference(avatar_split_clause,[],[f49,f73,f170]) ).

fof(f49,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_46) ).

fof(f163,plain,
    ( spl2_14
    | spl2_5 ),
    inference(avatar_split_clause,[],[f43,f88,f157]) ).

fof(f43,axiom,
    ( sk_c10 = inverse(sk_c3)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_40) ).

fof(f162,plain,
    ( spl2_14
    | spl2_4 ),
    inference(avatar_split_clause,[],[f42,f83,f157]) ).

fof(f42,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_39) ).

fof(f161,plain,
    ( spl2_14
    | spl2_3 ),
    inference(avatar_split_clause,[],[f41,f78,f157]) ).

fof(f41,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_38) ).

fof(f160,plain,
    ( spl2_14
    | spl2_2 ),
    inference(avatar_split_clause,[],[f40,f73,f157]) ).

fof(f40,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_37) ).

fof(f155,plain,
    ( spl2_13
    | spl2_10 ),
    inference(avatar_split_clause,[],[f39,f113,f144]) ).

fof(f39,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_36) ).

fof(f154,plain,
    ( spl2_13
    | spl2_9 ),
    inference(avatar_split_clause,[],[f38,f108,f144]) ).

fof(f38,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_35) ).

fof(f152,plain,
    ( spl2_13
    | spl2_7 ),
    inference(avatar_split_clause,[],[f36,f98,f144]) ).

fof(f36,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_33) ).

fof(f151,plain,
    ( spl2_13
    | spl2_6 ),
    inference(avatar_split_clause,[],[f35,f93,f144]) ).

fof(f35,axiom,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_32) ).

fof(f150,plain,
    ( spl2_13
    | spl2_5 ),
    inference(avatar_split_clause,[],[f34,f88,f144]) ).

fof(f34,axiom,
    ( sk_c10 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_31) ).

fof(f149,plain,
    ( spl2_13
    | spl2_4 ),
    inference(avatar_split_clause,[],[f33,f83,f144]) ).

fof(f33,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_30) ).

fof(f148,plain,
    ( spl2_13
    | spl2_3 ),
    inference(avatar_split_clause,[],[f32,f78,f144]) ).

fof(f32,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_29) ).

fof(f147,plain,
    ( spl2_13
    | spl2_2 ),
    inference(avatar_split_clause,[],[f31,f73,f144]) ).

fof(f31,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_28) ).

fof(f142,plain,
    ( spl2_12
    | spl2_10 ),
    inference(avatar_split_clause,[],[f30,f113,f131]) ).

fof(f30,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_27) ).

fof(f141,plain,
    ( spl2_12
    | spl2_9 ),
    inference(avatar_split_clause,[],[f29,f108,f131]) ).

fof(f29,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_26) ).

fof(f137,plain,
    ( spl2_12
    | spl2_5 ),
    inference(avatar_split_clause,[],[f25,f88,f131]) ).

fof(f25,axiom,
    ( sk_c10 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_22) ).

fof(f136,plain,
    ( spl2_12
    | spl2_4 ),
    inference(avatar_split_clause,[],[f24,f83,f131]) ).

fof(f24,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_21) ).

fof(f135,plain,
    ( spl2_12
    | spl2_3 ),
    inference(avatar_split_clause,[],[f23,f78,f131]) ).

fof(f23,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_20) ).

fof(f134,plain,
    ( spl2_12
    | spl2_2 ),
    inference(avatar_split_clause,[],[f22,f73,f131]) ).

fof(f22,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_19) ).

fof(f129,plain,
    ( spl2_11
    | spl2_10 ),
    inference(avatar_split_clause,[],[f21,f113,f118]) ).

fof(f21,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_18) ).

fof(f128,plain,
    ( spl2_11
    | spl2_9 ),
    inference(avatar_split_clause,[],[f20,f108,f118]) ).

fof(f20,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_17) ).

fof(f124,plain,
    ( spl2_11
    | spl2_5 ),
    inference(avatar_split_clause,[],[f16,f88,f118]) ).

fof(f16,axiom,
    ( sk_c10 = inverse(sk_c3)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_13) ).

fof(f123,plain,
    ( spl2_11
    | spl2_4 ),
    inference(avatar_split_clause,[],[f15,f83,f118]) ).

fof(f15,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_12) ).

fof(f122,plain,
    ( spl2_11
    | spl2_3 ),
    inference(avatar_split_clause,[],[f14,f78,f118]) ).

fof(f14,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_11) ).

fof(f121,plain,
    ( spl2_11
    | spl2_2 ),
    inference(avatar_split_clause,[],[f13,f73,f118]) ).

fof(f13,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_10) ).

fof(f116,plain,
    ( spl2_1
    | spl2_10 ),
    inference(avatar_split_clause,[],[f12,f113,f69]) ).

fof(f69,plain,
    ( spl2_1
  <=> multiply(sk_c9,sk_c8) = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f12,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_9) ).

fof(f111,plain,
    ( spl2_1
    | spl2_9 ),
    inference(avatar_split_clause,[],[f11,f108,f69]) ).

fof(f11,axiom,
    ( sk_c10 = inverse(sk_c7)
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_8) ).

fof(f91,plain,
    ( spl2_1
    | spl2_5 ),
    inference(avatar_split_clause,[],[f7,f88,f69]) ).

fof(f7,axiom,
    ( sk_c10 = inverse(sk_c3)
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_4) ).

fof(f86,plain,
    ( spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f6,f83,f69]) ).

fof(f6,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c10)
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_3) ).

fof(f81,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[],[f5,f78,f69]) ).

fof(f5,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c4)
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_2) ).

fof(f76,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f4,f73,f69]) ).

fof(f4,axiom,
    ( sk_c9 = inverse(sk_c10)
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.eGyW70VayH/Vampire---4.8_6068',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : GRP362-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.08  % 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
% 0.07/0.27  % Computer : n005.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit   : 300
% 0.07/0.27  % WCLimit    : 300
% 0.07/0.27  % DateTime   : Fri May  3 20:40:52 EDT 2024
% 0.07/0.27  % CPUTime    : 
% 0.07/0.27  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.12/0.27  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.eGyW70VayH/Vampire---4.8_6068
% 0.12/0.57  % (6419)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 (2997ds/56Mi)
% 0.12/0.57  % (6412)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 (2997ds/34Mi)
% 0.12/0.57  % (6414)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.12/0.57  % (6415)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.12/0.57  % (6416)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 (2997ds/34Mi)
% 0.12/0.57  % (6417)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.12/0.57  % (6418)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 (2997ds/83Mi)
% 0.12/0.57  % (6419)Refutation not found, incomplete strategy% (6419)------------------------------
% 0.12/0.57  % (6419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.57  % (6419)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.57  
% 0.12/0.57  % (6419)Memory used [KB]: 1087
% 0.12/0.57  % (6419)Time elapsed: 0.003 s
% 0.12/0.57  % (6419)Instructions burned: 5 (million)
% 0.12/0.57  % (6419)------------------------------
% 0.12/0.57  % (6419)------------------------------
% 0.12/0.58  % (6412)Refutation not found, incomplete strategy% (6412)------------------------------
% 0.12/0.58  % (6412)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.58  % (6415)Refutation not found, incomplete strategy% (6415)------------------------------
% 0.12/0.58  % (6415)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.58  % (6415)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.58  
% 0.12/0.58  % (6415)Memory used [KB]: 1018
% 0.12/0.58  % (6415)Time elapsed: 0.004 s
% 0.12/0.58  % (6415)Instructions burned: 5 (million)
% 0.12/0.58  % (6412)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.58  
% 0.12/0.58  % (6412)Memory used [KB]: 1085
% 0.12/0.58  % (6412)Time elapsed: 0.004 s
% 0.12/0.58  % (6412)Instructions burned: 5 (million)
% 0.12/0.58  % (6415)------------------------------
% 0.12/0.58  % (6415)------------------------------
% 0.12/0.58  % (6416)Refutation not found, incomplete strategy% (6416)------------------------------
% 0.12/0.58  % (6416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.58  % (6416)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.58  
% 0.12/0.58  % (6416)Memory used [KB]: 1101
% 0.12/0.58  % (6416)Time elapsed: 0.004 s
% 0.12/0.58  % (6416)Instructions burned: 6 (million)
% 0.12/0.58  % (6412)------------------------------
% 0.12/0.58  % (6412)------------------------------
% 0.12/0.58  % (6416)------------------------------
% 0.12/0.58  % (6416)------------------------------
% 0.12/0.58  % (6421)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 (2997ds/55Mi)
% 0.12/0.58  % (6414)Refutation not found, incomplete strategy% (6414)------------------------------
% 0.12/0.58  % (6414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.58  % (6414)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.58  
% 0.12/0.58  % (6414)Memory used [KB]: 1094
% 0.12/0.58  % (6414)Time elapsed: 0.005 s
% 0.12/0.58  % (6414)Instructions burned: 7 (million)
% 0.12/0.58  % (6414)------------------------------
% 0.12/0.58  % (6414)------------------------------
% 0.12/0.58  % (6418)Refutation not found, incomplete strategy% (6418)------------------------------
% 0.12/0.58  % (6418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.58  % (6418)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.58  
% 0.12/0.58  % (6418)Memory used [KB]: 1109
% 0.12/0.58  % (6418)Time elapsed: 0.006 s
% 0.12/0.58  % (6418)Instructions burned: 9 (million)
% 0.12/0.58  % (6418)------------------------------
% 0.12/0.58  % (6418)------------------------------
% 0.12/0.58  % (6421)Refutation not found, incomplete strategy% (6421)------------------------------
% 0.12/0.58  % (6421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.58  % (6421)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.58  
% 0.12/0.58  % (6421)Memory used [KB]: 1096
% 0.12/0.58  % (6421)Time elapsed: 0.003 s
% 0.12/0.58  % (6421)Instructions burned: 8 (million)
% 0.12/0.58  % (6421)------------------------------
% 0.12/0.58  % (6421)------------------------------
% 0.12/0.58  % (6423)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 (2997ds/50Mi)
% 0.12/0.58  % (6424)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 (2997ds/208Mi)
% 0.12/0.58  % (6425)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 (2997ds/52Mi)
% 0.12/0.58  % (6427)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 (2997ds/518Mi)
% 0.12/0.58  % (6430)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)
% 0.12/0.58  % (6423)Refutation not found, incomplete strategy% (6423)------------------------------
% 0.12/0.58  % (6423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.58  % (6423)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.58  
% 0.12/0.58  % (6423)Memory used [KB]: 1072
% 0.12/0.58  % (6423)Time elapsed: 0.005 s
% 0.12/0.58  % (6423)Instructions burned: 8 (million)
% 0.12/0.58  % (6423)------------------------------
% 0.12/0.58  % (6423)------------------------------
% 0.12/0.58  % (6425)Refutation not found, incomplete strategy% (6425)------------------------------
% 0.12/0.58  % (6425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.58  % (6425)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.58  
% 0.12/0.58  % (6425)Memory used [KB]: 1094
% 0.12/0.58  % (6425)Time elapsed: 0.005 s
% 0.12/0.58  % (6425)Instructions burned: 7 (million)
% 0.12/0.59  % (6425)------------------------------
% 0.12/0.59  % (6425)------------------------------
% 0.12/0.59  % (6429)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)
% 0.12/0.59  % (6413)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 (2997ds/51Mi)
% 0.12/0.59  % (6424)Refutation not found, incomplete strategy% (6424)------------------------------
% 0.12/0.59  % (6424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.59  % (6424)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.59  
% 0.12/0.59  % (6424)Memory used [KB]: 1131
% 0.12/0.59  % (6424)Time elapsed: 0.010 s
% 0.12/0.59  % (6424)Instructions burned: 15 (million)
% 0.12/0.59  % (6424)------------------------------
% 0.12/0.59  % (6424)------------------------------
% 0.12/0.59  % (6429)Refutation not found, incomplete strategy% (6429)------------------------------
% 0.12/0.59  % (6429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.59  % (6429)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.59  
% 0.12/0.59  % (6429)Memory used [KB]: 1104
% 0.12/0.59  % (6429)Time elapsed: 0.004 s
% 0.12/0.59  % (6434)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)
% 0.12/0.59  % (6429)Instructions burned: 5 (million)
% 0.12/0.59  % (6429)------------------------------
% 0.12/0.59  % (6429)------------------------------
% 0.12/0.59  % (6435)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)
% 0.12/0.59  % (6434)Refutation not found, incomplete strategy% (6434)------------------------------
% 0.12/0.59  % (6434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.59  % (6434)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.59  
% 0.12/0.59  % (6434)Memory used [KB]: 1024
% 0.12/0.59  % (6434)Time elapsed: 0.005 s
% 0.12/0.59  % (6434)Instructions burned: 5 (million)
% 0.12/0.59  % (6434)------------------------------
% 0.12/0.59  % (6434)------------------------------
% 0.12/0.59  % (6435)Refutation not found, incomplete strategy% (6435)------------------------------
% 0.12/0.59  % (6435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.59  % (6435)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.59  
% 0.12/0.59  % (6435)Memory used [KB]: 1088
% 0.12/0.59  % (6435)Time elapsed: 0.004 s
% 0.12/0.59  % (6435)Instructions burned: 5 (million)
% 0.12/0.59  % (6435)------------------------------
% 0.12/0.59  % (6435)------------------------------
% 0.12/0.59  % (6438)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)
% 0.12/0.59  % (6441)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)
% 0.12/0.59  % (6417)Instruction limit reached!
% 0.12/0.59  % (6417)------------------------------
% 0.12/0.59  % (6417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.59  % (6417)Termination reason: Unknown
% 0.12/0.59  % (6417)Termination phase: Saturation
% 0.12/0.59  
% 0.12/0.59  % (6417)Memory used [KB]: 1649
% 0.12/0.59  % (6417)Time elapsed: 0.023 s
% 0.12/0.59  % (6417)Instructions burned: 45 (million)
% 0.12/0.59  % (6417)------------------------------
% 0.12/0.59  % (6417)------------------------------
% 0.12/0.59  % (6441)Refutation not found, incomplete strategy% (6441)------------------------------
% 0.12/0.59  % (6441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.59  % (6441)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.60  
% 0.12/0.60  % (6441)Memory used [KB]: 1022
% 0.12/0.60  % (6441)Time elapsed: 0.003 s
% 0.12/0.60  % (6441)Instructions burned: 4 (million)
% 0.12/0.60  % (6441)------------------------------
% 0.12/0.60  % (6441)------------------------------
% 0.12/0.60  % (6444)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)
% 0.12/0.60  % (6447)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)
% 0.12/0.60  % (6450)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)
% 0.12/0.60  % (6451)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)
% 0.52/0.60  % (6447)Refutation not found, incomplete strategy% (6447)------------------------------
% 0.52/0.60  % (6447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.60  % (6447)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.60  
% 0.52/0.60  % (6447)Memory used [KB]: 1094
% 0.52/0.60  % (6447)Time elapsed: 0.005 s
% 0.52/0.60  % (6447)Instructions burned: 8 (million)
% 0.52/0.60  % (6447)------------------------------
% 0.52/0.60  % (6447)------------------------------
% 0.52/0.60  % (6450)Refutation not found, incomplete strategy% (6450)------------------------------
% 0.52/0.60  % (6450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.60  % (6450)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.60  
% 0.52/0.60  % (6450)Memory used [KB]: 1109
% 0.52/0.60  % (6450)Time elapsed: 0.005 s
% 0.52/0.60  % (6450)Instructions burned: 6 (million)
% 0.52/0.60  % (6450)------------------------------
% 0.52/0.60  % (6450)------------------------------
% 0.52/0.60  % (6444)Refutation not found, incomplete strategy% (6444)------------------------------
% 0.52/0.60  % (6444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.60  % (6444)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.60  
% 0.52/0.60  % (6444)Memory used [KB]: 1132
% 0.52/0.60  % (6444)Time elapsed: 0.008 s
% 0.52/0.60  % (6444)Instructions burned: 13 (million)
% 0.52/0.60  % (6444)------------------------------
% 0.52/0.60  % (6444)------------------------------
% 0.52/0.61  % (6457)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)
% 0.52/0.61  % (6458)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)
% 0.52/0.61  % (6459)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)
% 0.52/0.61  % (6457)Refutation not found, incomplete strategy% (6457)------------------------------
% 0.52/0.61  % (6457)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.61  % (6457)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.61  
% 0.52/0.61  % (6457)Memory used [KB]: 1092
% 0.52/0.61  % (6457)Time elapsed: 0.004 s
% 0.52/0.61  % (6457)Instructions burned: 5 (million)
% 0.52/0.61  % (6457)------------------------------
% 0.52/0.61  % (6457)------------------------------
% 0.52/0.61  % (6458)Refutation not found, incomplete strategy% (6458)------------------------------
% 0.52/0.61  % (6458)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.61  % (6458)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.61  
% 0.52/0.61  % (6458)Memory used [KB]: 1107
% 0.52/0.61  % (6458)Time elapsed: 0.007 s
% 0.52/0.61  % (6458)Instructions burned: 8 (million)
% 0.52/0.61  % (6458)------------------------------
% 0.52/0.61  % (6458)------------------------------
% 0.52/0.61  % (6460)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)
% 0.59/0.62  % (6462)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)
% 0.59/0.62  % (6413)Instruction limit reached!
% 0.59/0.62  % (6413)------------------------------
% 0.59/0.62  % (6413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.62  % (6413)Termination reason: Unknown
% 0.59/0.62  % (6413)Termination phase: Saturation
% 0.59/0.62  
% 0.59/0.62  % (6413)Memory used [KB]: 1705
% 0.59/0.62  % (6413)Time elapsed: 0.032 s
% 0.59/0.62  % (6413)Instructions burned: 52 (million)
% 0.59/0.62  % (6413)------------------------------
% 0.59/0.62  % (6413)------------------------------
% 0.59/0.62  % (6451)Instruction limit reached!
% 0.59/0.62  % (6451)------------------------------
% 0.59/0.62  % (6451)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.62  % (6451)Termination reason: Unknown
% 0.59/0.62  % (6451)Termination phase: Saturation
% 0.59/0.62  
% 0.59/0.62  % (6451)Memory used [KB]: 1191
% 0.59/0.62  % (6451)Time elapsed: 0.026 s
% 0.59/0.62  % (6451)Instructions burned: 53 (million)
% 0.59/0.62  % (6451)------------------------------
% 0.59/0.62  % (6451)------------------------------
% 0.59/0.62  % (6459)Instruction limit reached!
% 0.59/0.62  % (6459)------------------------------
% 0.59/0.62  % (6459)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.62  % (6459)Termination reason: Unknown
% 0.59/0.62  % (6459)Termination phase: Saturation
% 0.59/0.62  
% 0.59/0.62  % (6459)Memory used [KB]: 1205
% 0.59/0.62  % (6459)Time elapsed: 0.019 s
% 0.59/0.62  % (6459)Instructions burned: 36 (million)
% 0.59/0.62  % (6459)------------------------------
% 0.59/0.62  % (6459)------------------------------
% 0.59/0.63  % (6467)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)
% 0.59/0.63  % (6467)Refutation not found, incomplete strategy% (6467)------------------------------
% 0.59/0.63  % (6467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.63  % (6467)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.63  
% 0.59/0.63  % (6467)Memory used [KB]: 999
% 0.59/0.63  % (6467)Time elapsed: 0.004 s
% 0.59/0.63  % (6467)Instructions burned: 5 (million)
% 0.59/0.63  % (6470)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)
% 0.59/0.63  % (6467)------------------------------
% 0.59/0.63  % (6467)------------------------------
% 0.59/0.63  % (6472)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)
% 0.59/0.63  % (6470)Refutation not found, incomplete strategy% (6470)------------------------------
% 0.59/0.63  % (6470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.63  % (6470)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.63  
% 0.59/0.63  % (6470)Memory used [KB]: 1108
% 0.59/0.63  % (6470)Time elapsed: 0.004 s
% 0.59/0.63  % (6470)Instructions burned: 5 (million)
% 0.59/0.63  % (6470)------------------------------
% 0.59/0.63  % (6470)------------------------------
% 0.59/0.63  % (6476)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 (2996ds/360Mi)
% 0.59/0.63  % (6462)First to succeed.
% 0.59/0.64  % (6479)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 (2996ds/161Mi)
% 0.68/0.64  % (6462)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6304"
% 0.68/0.64  % (6462)Refutation found. Thanks to Tanya!
% 0.68/0.64  % SZS status Unsatisfiable for Vampire---4
% 0.68/0.64  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.64  % (6462)------------------------------
% 0.68/0.64  % (6462)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.64  % (6462)Termination reason: Refutation
% 0.68/0.64  
% 0.68/0.64  % (6462)Memory used [KB]: 1342
% 0.68/0.64  % (6462)Time elapsed: 0.024 s
% 0.68/0.64  % (6462)Instructions burned: 37 (million)
% 0.68/0.64  % (6304)Success in time 0.351 s
% 0.68/0.64  % Vampire---4.8 exiting
%------------------------------------------------------------------------------