TSTP Solution File: GRP238-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP238-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 16:14:59 EDT 2022

% Result   : Unsatisfiable 2.32s 0.64s
% Output   : Refutation 2.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  307 (   6 unt;   0 def)
%            Number of atoms       : 1227 ( 380 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives : 1821 ( 901   ~; 894   |;   0   &)
%                                         (  26 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   28 (  26 usr;  27 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :   89 (  89   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f979,plain,
    $false,
    inference(avatar_sat_refutation,[],[f94,f104,f113,f114,f124,f125,f130,f131,f136,f148,f149,f152,f153,f155,f156,f157,f159,f161,f162,f163,f165,f166,f168,f185,f186,f187,f189,f192,f193,f196,f197,f200,f201,f202,f204,f205,f206,f402,f422,f453,f482,f518,f547,f558,f644,f677,f710,f718,f747,f754,f814,f826,f872,f873,f913,f916,f934,f978]) ).

fof(f978,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f977]) ).

fof(f977,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f976,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f976,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f968,f914]) ).

fof(f914,plain,
    ( identity = inverse(identity)
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f850,f854]) ).

fof(f854,plain,
    ( identity = sk_c11
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f853,plain,
    ( spl0_35
  <=> identity = sk_c11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f850,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f849,plain,
    ( spl0_34
  <=> sk_c11 = inverse(sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f968,plain,
    ( identity != inverse(identity)
    | identity != multiply(identity,identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(superposition,[],[f961,f1]) ).

fof(f961,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f960,f854]) ).

fof(f960,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c11 != multiply(identity,multiply(X5,identity)) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f959,f854]) ).

fof(f959,plain,
    ( ! [X5] :
        ( sk_c11 != inverse(X5)
        | sk_c11 != multiply(identity,multiply(X5,identity)) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f958,f763]) ).

fof(f763,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f597,f84]) ).

fof(f84,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f82,plain,
    ( spl0_4
  <=> sk_c10 = multiply(sk_c11,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f597,plain,
    ( sk_c11 = multiply(sk_c11,sk_c3)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f595,f112]) ).

fof(f112,plain,
    ( sk_c11 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl0_10
  <=> sk_c11 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f595,plain,
    ( sk_c11 = multiply(inverse(sk_c2),sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f221,f93]) ).

fof(f93,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl0_6
  <=> sk_c3 = multiply(sk_c2,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f221,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f214,f1]) ).

fof(f214,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
    inference(superposition,[],[f3,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f958,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(identity,multiply(X5,identity))
        | sk_c11 != inverse(X5) )
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f172,f854]) ).

fof(f172,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
        | sk_c11 != inverse(X5) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl0_17
  <=> ! [X5] :
        ( sk_c11 != inverse(X5)
        | sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f934,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f933]) ).

fof(f933,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f932,f1]) ).

fof(f932,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f931,f854]) ).

fof(f931,plain,
    ( identity != multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f930,f763]) ).

fof(f930,plain,
    ( identity != multiply(sk_c10,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f929,f854]) ).

fof(f929,plain,
    ( identity != multiply(sk_c10,identity)
    | identity != sk_c11
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f928,f816]) ).

fof(f816,plain,
    ( sk_c11 = multiply(sk_c11,sk_c11)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f613,f763]) ).

fof(f613,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f612,plain,
    ( spl0_26
  <=> sk_c10 = multiply(sk_c11,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f928,plain,
    ( identity != multiply(sk_c11,sk_c11)
    | identity != multiply(sk_c10,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f920,f763]) ).

fof(f920,plain,
    ( identity != multiply(sk_c11,sk_c10)
    | identity != multiply(sk_c10,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(superposition,[],[f919,f71]) ).

fof(f71,plain,
    ( inverse(sk_c11) = sk_c10
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_1
  <=> inverse(sk_c11) = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f919,plain,
    ( ! [X6] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(X6,inverse(X6)) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f918,f854]) ).

fof(f918,plain,
    ( ! [X6] :
        ( sk_c11 != multiply(inverse(X6),sk_c11)
        | identity != multiply(X6,inverse(X6)) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f917,f763]) ).

fof(f917,plain,
    ( ! [X6] :
        ( sk_c11 != multiply(inverse(X6),sk_c10)
        | identity != multiply(X6,inverse(X6)) )
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f181,f854]) ).

fof(f181,plain,
    ( ! [X6] :
        ( sk_c11 != multiply(X6,inverse(X6))
        | sk_c11 != multiply(inverse(X6),sk_c10) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f180,plain,
    ( spl0_20
  <=> ! [X6] :
        ( sk_c11 != multiply(X6,inverse(X6))
        | sk_c11 != multiply(inverse(X6),sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f916,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_18
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f915]) ).

fof(f915,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_18
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f914,f910]) ).

fof(f910,plain,
    ( identity != inverse(identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_18
    | ~ spl0_35 ),
    inference(trivial_inequality_removal,[],[f907]) ).

fof(f907,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_18
    | ~ spl0_35 ),
    inference(superposition,[],[f906,f1]) ).

fof(f906,plain,
    ( ! [X11] :
        ( identity != multiply(X11,identity)
        | identity != inverse(X11) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_18
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f905,f854]) ).

fof(f905,plain,
    ( ! [X11] :
        ( identity != inverse(X11)
        | sk_c11 != multiply(X11,sk_c11) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_18
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f875,f854]) ).

fof(f875,plain,
    ( ! [X11] :
        ( sk_c11 != inverse(X11)
        | sk_c11 != multiply(X11,sk_c11) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f874,f763]) ).

fof(f874,plain,
    ( ! [X11] :
        ( sk_c11 != inverse(X11)
        | sk_c10 != multiply(X11,sk_c11) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f175,f763]) ).

fof(f175,plain,
    ( ! [X11] :
        ( sk_c10 != inverse(X11)
        | sk_c10 != multiply(X11,sk_c11) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f174,plain,
    ( spl0_18
  <=> ! [X11] :
        ( sk_c10 != inverse(X11)
        | sk_c10 != multiply(X11,sk_c11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f913,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | spl0_34
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f912]) ).

fof(f912,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | spl0_34
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f891,f904]) ).

fof(f904,plain,
    ( identity != inverse(identity)
    | spl0_34
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f851,f854]) ).

fof(f851,plain,
    ( sk_c11 != inverse(sk_c11)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f891,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f890,f854]) ).

fof(f890,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f876,f763]) ).

fof(f876,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(superposition,[],[f71,f854]) ).

fof(f873,plain,
    ( ~ spl0_35
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f845,f177,f110,f91,f82,f853]) ).

fof(f177,plain,
    ( spl0_19
  <=> ! [X3] :
        ( sk_c11 != inverse(X3)
        | sk_c11 != multiply(X3,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f845,plain,
    ( identity != sk_c11
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f844,f767]) ).

fof(f767,plain,
    ( identity = sk_c3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f765,f2]) ).

fof(f765,plain,
    ( sk_c3 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f221,f597]) ).

fof(f844,plain,
    ( sk_c11 != sk_c3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f841,f112]) ).

fof(f841,plain,
    ( sk_c11 != inverse(sk_c2)
    | sk_c11 != sk_c3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(superposition,[],[f835,f93]) ).

fof(f835,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,sk_c11)
        | sk_c11 != inverse(X3) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f178,f763]) ).

fof(f178,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,sk_c10)
        | sk_c11 != inverse(X3) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f872,plain,
    ( spl0_35
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f868,f626,f110,f91,f82,f853]) ).

fof(f626,plain,
    ( spl0_29
  <=> identity = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f868,plain,
    ( identity = sk_c11
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(superposition,[],[f763,f627]) ).

fof(f627,plain,
    ( identity = sk_c10
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f826,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_26
    | spl0_29 ),
    inference(avatar_contradiction_clause,[],[f825]) ).

fof(f825,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_26
    | spl0_29 ),
    inference(subsumption_resolution,[],[f824,f775]) ).

fof(f775,plain,
    ( identity != sk_c11
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | spl0_29 ),
    inference(superposition,[],[f628,f763]) ).

fof(f628,plain,
    ( identity != sk_c10
    | spl0_29 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f824,plain,
    ( identity = sk_c11
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f822,f2]) ).

fof(f822,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(superposition,[],[f221,f816]) ).

fof(f814,plain,
    ( ~ spl0_7
    | ~ spl0_12
    | spl0_26 ),
    inference(avatar_contradiction_clause,[],[f813]) ).

fof(f813,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_12
    | spl0_26 ),
    inference(subsumption_resolution,[],[f600,f614]) ).

fof(f614,plain,
    ( sk_c10 != multiply(sk_c11,sk_c11)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f600,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f598,f98]) ).

fof(f98,plain,
    ( sk_c11 = inverse(sk_c1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl0_7
  <=> sk_c11 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f598,plain,
    ( sk_c10 = multiply(inverse(sk_c1),sk_c11)
    | ~ spl0_12 ),
    inference(superposition,[],[f221,f123]) ).

fof(f123,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl0_12
  <=> sk_c11 = multiply(sk_c1,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f754,plain,
    ( ~ spl0_29
    | ~ spl0_1
    | spl0_30 ),
    inference(avatar_split_clause,[],[f753,f631,f69,f626]) ).

fof(f631,plain,
    ( spl0_30
  <=> sk_c10 = multiply(sk_c10,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f753,plain,
    ( identity != sk_c10
    | ~ spl0_1
    | spl0_30 ),
    inference(forward_demodulation,[],[f633,f585]) ).

fof(f585,plain,
    ( identity = multiply(sk_c10,sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f71]) ).

fof(f633,plain,
    ( sk_c10 != multiply(sk_c10,sk_c11)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f747,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_28
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f746]) ).

fof(f746,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | spl0_28
    | ~ spl0_29 ),
    inference(trivial_inequality_removal,[],[f739]) ).

fof(f739,plain,
    ( sk_c10 != sk_c10
    | ~ spl0_1
    | ~ spl0_4
    | spl0_28
    | ~ spl0_29 ),
    inference(superposition,[],[f624,f731]) ).

fof(f731,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f730,f1]) ).

fof(f730,plain,
    ( ! [X0] : multiply(sk_c11,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f727,f725]) ).

fof(f725,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f724,f1]) ).

fof(f724,plain,
    ( sk_c3 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f594,f627]) ).

fof(f594,plain,
    ( sk_c3 = multiply(sk_c10,sk_c10)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f592,f71]) ).

fof(f592,plain,
    ( sk_c3 = multiply(inverse(sk_c11),sk_c10)
    | ~ spl0_4 ),
    inference(superposition,[],[f221,f84]) ).

fof(f727,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f726,f1]) ).

fof(f726,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f593,f627]) ).

fof(f593,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = multiply(sk_c10,X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f84]) ).

fof(f624,plain,
    ( sk_c10 != multiply(sk_c11,sk_c10)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f622,plain,
    ( spl0_28
  <=> sk_c10 = multiply(sk_c11,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f718,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_28
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f717]) ).

fof(f717,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_15
    | spl0_28
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f704,f1]) ).

fof(f704,plain,
    ( sk_c10 != multiply(identity,sk_c10)
    | ~ spl0_14
    | ~ spl0_15
    | spl0_28
    | ~ spl0_29 ),
    inference(superposition,[],[f624,f689]) ).

fof(f689,plain,
    ( identity = sk_c11
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f685,f1]) ).

fof(f685,plain,
    ( sk_c11 = multiply(identity,identity)
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_29 ),
    inference(superposition,[],[f316,f627]) ).

fof(f316,plain,
    ( sk_c11 = multiply(sk_c10,sk_c10)
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f306,f135]) ).

fof(f135,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl0_14
  <=> sk_c10 = inverse(sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f306,plain,
    ( sk_c11 = multiply(inverse(sk_c9),sk_c10)
    | ~ spl0_15 ),
    inference(superposition,[],[f221,f140]) ).

fof(f140,plain,
    ( sk_c10 = multiply(sk_c9,sk_c11)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl0_15
  <=> sk_c10 = multiply(sk_c9,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f710,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_26
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f709]) ).

fof(f709,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_15
    | spl0_26
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f708,f627]) ).

fof(f708,plain,
    ( identity != sk_c10
    | ~ spl0_14
    | ~ spl0_15
    | spl0_26
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f703,f1]) ).

fof(f703,plain,
    ( sk_c10 != multiply(identity,identity)
    | ~ spl0_14
    | ~ spl0_15
    | spl0_26
    | ~ spl0_29 ),
    inference(superposition,[],[f614,f689]) ).

fof(f677,plain,
    ( spl0_29
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f674,f145,f78,f626]) ).

fof(f78,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f145,plain,
    ( spl0_16
  <=> sk_c10 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f674,plain,
    ( identity = sk_c10
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f671,f2]) ).

fof(f671,plain,
    ( sk_c10 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(superposition,[],[f221,f318]) ).

fof(f318,plain,
    ( sk_c8 = multiply(sk_c8,sk_c10)
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f301,f80]) ).

fof(f80,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f301,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c10)
    | ~ spl0_16 ),
    inference(superposition,[],[f221,f147]) ).

fof(f147,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f644,plain,
    ( ~ spl0_28
    | ~ spl0_30
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f601,f183,f69,f631,f622]) ).

fof(f183,plain,
    ( spl0_21
  <=> ! [X9] :
        ( sk_c10 != multiply(X9,inverse(X9))
        | sk_c10 != multiply(inverse(X9),sk_c11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f601,plain,
    ( sk_c10 != multiply(sk_c10,sk_c11)
    | sk_c10 != multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(superposition,[],[f184,f71]) ).

fof(f184,plain,
    ( ! [X9] :
        ( sk_c10 != multiply(inverse(X9),sk_c11)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f558,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f557]) ).

fof(f557,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f556,f1]) ).

fof(f556,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f555,f367]) ).

fof(f367,plain,
    ( identity = sk_c6
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f366,f2]) ).

fof(f366,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f288,f311]) ).

fof(f311,plain,
    ( identity = sk_c11
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f296,f2]) ).

fof(f296,plain,
    ( sk_c11 = multiply(inverse(sk_c5),sk_c5)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f221,f232]) ).

fof(f232,plain,
    ( sk_c5 = multiply(sk_c5,sk_c11)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f225,f108]) ).

fof(f108,plain,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl0_9
  <=> sk_c11 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f225,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f224,f1]) ).

fof(f224,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f208]) ).

fof(f208,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_13 ),
    inference(superposition,[],[f2,f129]) ).

fof(f129,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl0_13
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f288,plain,
    ( sk_c6 = multiply(inverse(sk_c11),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f221,f209]) ).

fof(f209,plain,
    ( identity = multiply(sk_c11,sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f89]) ).

fof(f89,plain,
    ( sk_c11 = inverse(sk_c6)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f87,plain,
    ( spl0_5
  <=> sk_c11 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f555,plain,
    ( identity != multiply(sk_c6,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f554,f311]) ).

fof(f554,plain,
    ( identity != multiply(sk_c6,sk_c11)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f553,f1]) ).

fof(f553,plain,
    ( identity != multiply(identity,identity)
    | identity != multiply(sk_c6,sk_c11)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f526,f311]) ).

fof(f526,plain,
    ( identity != multiply(sk_c11,identity)
    | identity != multiply(sk_c6,sk_c11)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(superposition,[],[f523,f89]) ).

fof(f523,plain,
    ( ! [X9] :
        ( identity != multiply(X9,inverse(X9))
        | identity != multiply(inverse(X9),identity) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f522,f311]) ).

fof(f522,plain,
    ( ! [X9] :
        ( identity != multiply(X9,inverse(X9))
        | sk_c11 != multiply(inverse(X9),identity) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f521,f313]) ).

fof(f313,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f312,f244]) ).

fof(f244,plain,
    ( sk_c11 = multiply(sk_c11,sk_c11)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f237,f108]) ).

fof(f237,plain,
    ( multiply(sk_c4,sk_c5) = multiply(sk_c11,sk_c11)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f215,f232]) ).

fof(f215,plain,
    ( ! [X8] : multiply(sk_c4,multiply(sk_c5,X8)) = multiply(sk_c11,X8)
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f108]) ).

fof(f312,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f299,f89]) ).

fof(f299,plain,
    ( sk_c10 = multiply(inverse(sk_c6),sk_c11)
    | ~ spl0_8 ),
    inference(superposition,[],[f221,f103]) ).

fof(f103,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_8
  <=> sk_c11 = multiply(sk_c6,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f521,plain,
    ( ! [X9] :
        ( sk_c10 != multiply(inverse(X9),identity)
        | identity != multiply(X9,inverse(X9)) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f520,f311]) ).

fof(f520,plain,
    ( ! [X9] :
        ( sk_c10 != multiply(inverse(X9),sk_c11)
        | identity != multiply(X9,inverse(X9)) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f519,f311]) ).

fof(f519,plain,
    ( ! [X9] :
        ( sk_c11 != multiply(X9,inverse(X9))
        | sk_c10 != multiply(inverse(X9),sk_c11) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f184,f313]) ).

fof(f547,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f546]) ).

fof(f546,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f545,f1]) ).

fof(f545,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f544,f353]) ).

fof(f353,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f352,f311]) ).

fof(f352,plain,
    ( sk_c11 = sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f351,f313]) ).

fof(f351,plain,
    ( sk_c10 = sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f350,f75]) ).

fof(f75,plain,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl0_2
  <=> sk_c10 = multiply(sk_c8,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f350,plain,
    ( sk_c8 = multiply(sk_c8,sk_c11)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f318,f313]) ).

fof(f544,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f543,f311]) ).

fof(f543,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != sk_c11
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f542,f313]) ).

fof(f542,plain,
    ( identity != sk_c10
    | identity != multiply(sk_c8,identity)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f527,f147]) ).

fof(f527,plain,
    ( identity != multiply(sk_c7,sk_c8)
    | identity != multiply(sk_c8,identity)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(superposition,[],[f523,f80]) ).

fof(f518,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f517]) ).

fof(f517,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f516,f373]) ).

fof(f373,plain,
    ( identity = inverse(identity)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f372,f311]) ).

fof(f372,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f89,f367]) ).

fof(f516,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f492,f2]) ).

fof(f492,plain,
    ( identity != multiply(inverse(identity),identity)
    | identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(superposition,[],[f485,f1]) ).

fof(f485,plain,
    ( ! [X6] :
        ( identity != multiply(X6,inverse(X6))
        | identity != multiply(inverse(X6),identity) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f484,f311]) ).

fof(f484,plain,
    ( ! [X6] :
        ( sk_c11 != multiply(inverse(X6),sk_c11)
        | identity != multiply(X6,inverse(X6)) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f483,f313]) ).

fof(f483,plain,
    ( ! [X6] :
        ( sk_c11 != multiply(inverse(X6),sk_c10)
        | identity != multiply(X6,inverse(X6)) )
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f181,f311]) ).

fof(f482,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f481]) ).

fof(f481,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f480,f1]) ).

fof(f480,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f479,f367]) ).

fof(f479,plain,
    ( identity != multiply(sk_c6,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f469,f311]) ).

fof(f469,plain,
    ( identity != sk_c11
    | identity != multiply(sk_c6,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(superposition,[],[f466,f89]) ).

fof(f466,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | identity != multiply(X3,identity) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f465,f311]) ).

fof(f465,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,sk_c11)
        | identity != inverse(X3) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f464,f311]) ).

fof(f464,plain,
    ( ! [X3] :
        ( sk_c11 != inverse(X3)
        | sk_c11 != multiply(X3,sk_c11) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f178,f313]) ).

fof(f453,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f452]) ).

fof(f452,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f451,f1]) ).

fof(f451,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f450,f367]) ).

fof(f450,plain,
    ( identity != multiply(sk_c6,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f439,f311]) ).

fof(f439,plain,
    ( identity != multiply(sk_c6,identity)
    | identity != sk_c11
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(superposition,[],[f436,f89]) ).

fof(f436,plain,
    ( ! [X11] :
        ( identity != inverse(X11)
        | identity != multiply(X11,identity) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f435,f311]) ).

fof(f435,plain,
    ( ! [X11] :
        ( identity != multiply(X11,identity)
        | sk_c11 != inverse(X11) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f434,f311]) ).

fof(f434,plain,
    ( ! [X11] :
        ( sk_c11 != multiply(X11,identity)
        | sk_c11 != inverse(X11) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f433,f313]) ).

fof(f433,plain,
    ( ! [X11] :
        ( sk_c10 != multiply(X11,identity)
        | sk_c11 != inverse(X11) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f432,f311]) ).

fof(f432,plain,
    ( ! [X11] :
        ( sk_c10 != multiply(X11,sk_c11)
        | sk_c11 != inverse(X11) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f175,f313]) ).

fof(f422,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f421,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f420,f1]) ).

fof(f420,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f411,f373]) ).

fof(f411,plain,
    ( identity != inverse(identity)
    | identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(superposition,[],[f408,f1]) ).

fof(f408,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f407,f311]) ).

fof(f407,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c11 != multiply(identity,multiply(X5,identity)) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f406,f313]) ).

fof(f406,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f405,f311]) ).

fof(f405,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) )
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f172,f311]) ).

fof(f402,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f401]) ).

fof(f401,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f336,f373]) ).

fof(f336,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f335,f311]) ).

fof(f335,plain,
    ( sk_c11 != inverse(identity)
    | spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f326,f313]) ).

fof(f326,plain,
    ( sk_c10 != inverse(identity)
    | spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f70,f311]) ).

fof(f70,plain,
    ( inverse(sk_c11) != sk_c10
    | spl0_1 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f206,plain,
    ( spl0_5
    | spl0_12 ),
    inference(avatar_split_clause,[],[f27,f121,f87]) ).

fof(f27,axiom,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | sk_c11 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f205,plain,
    ( spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f38,f101,f82]) ).

fof(f38,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f204,plain,
    ( spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f58,f101,f110]) ).

fof(f58,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).

fof(f202,plain,
    ( spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f37,f82,f87]) ).

fof(f37,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | sk_c11 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

fof(f201,plain,
    ( spl0_13
    | spl0_6 ),
    inference(avatar_split_clause,[],[f45,f91,f127]) ).

fof(f45,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).

fof(f200,plain,
    ( spl0_12
    | spl0_15 ),
    inference(avatar_split_clause,[],[f33,f138,f121]) ).

fof(f33,axiom,
    ( sk_c10 = multiply(sk_c9,sk_c11)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f197,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f25,f127,f121]) ).

fof(f25,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f196,plain,
    ( spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f50,f78,f91]) ).

fof(f50,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).

fof(f193,plain,
    ( spl0_10
    | spl0_13 ),
    inference(avatar_split_clause,[],[f55,f127,f110]) ).

fof(f55,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).

fof(f192,plain,
    ( spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f31,f73,f121]) ).

fof(f31,axiom,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f189,plain,
    ( spl0_7
    | spl0_16 ),
    inference(avatar_split_clause,[],[f19,f145,f96]) ).

fof(f19,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f187,plain,
    ( spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f42,f133,f82]) ).

fof(f42,axiom,
    ( sk_c10 = inverse(sk_c9)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

fof(f186,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f101,f69]) ).

fof(f8,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f185,plain,
    ( ~ spl0_1
    | spl0_17
    | spl0_18
    | spl0_19
    | spl0_19
    | spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f67,f183,f180,f177,f177,f174,f171,f69]) ).

fof(f67,plain,
    ! [X3,X11,X8,X6,X9,X5] :
      ( sk_c10 != multiply(X9,inverse(X9))
      | sk_c11 != multiply(X6,inverse(X6))
      | sk_c11 != multiply(inverse(X6),sk_c10)
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c10 != multiply(inverse(X9),sk_c11)
      | sk_c11 != inverse(X3)
      | sk_c10 != inverse(X11)
      | sk_c11 != inverse(X8)
      | sk_c11 != inverse(X5)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c10 != multiply(X11,sk_c11)
      | inverse(sk_c11) != sk_c10
      | sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X3,X11,X8,X6,X9,X7,X5] :
      ( sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
      | sk_c10 != multiply(X9,inverse(X9))
      | sk_c11 != multiply(X7,sk_c10)
      | sk_c11 != inverse(X5)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != multiply(X6,X7)
      | inverse(sk_c11) != sk_c10
      | sk_c11 != multiply(X8,sk_c10)
      | inverse(X6) != X7
      | sk_c11 != inverse(X3)
      | sk_c10 != inverse(X11)
      | sk_c11 != inverse(X8)
      | sk_c10 != multiply(X11,sk_c11)
      | sk_c10 != multiply(inverse(X9),sk_c11) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X11,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(sk_c11,X4)
      | sk_c10 != multiply(X9,inverse(X9))
      | sk_c11 != multiply(X7,sk_c10)
      | sk_c11 != inverse(X5)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != multiply(X6,X7)
      | inverse(sk_c11) != sk_c10
      | sk_c11 != multiply(X8,sk_c10)
      | multiply(X5,sk_c11) != X4
      | inverse(X6) != X7
      | sk_c11 != inverse(X3)
      | sk_c10 != inverse(X11)
      | sk_c11 != inverse(X8)
      | sk_c10 != multiply(X11,sk_c11)
      | sk_c10 != multiply(inverse(X9),sk_c11) ),
    inference(equality_resolution,[],[f64]) ).

fof(f64,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(sk_c11,X4)
      | sk_c10 != multiply(X9,X10)
      | sk_c11 != multiply(X7,sk_c10)
      | sk_c11 != inverse(X5)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != multiply(X6,X7)
      | inverse(sk_c11) != sk_c10
      | inverse(X9) != X10
      | sk_c11 != multiply(X8,sk_c10)
      | multiply(X5,sk_c11) != X4
      | inverse(X6) != X7
      | sk_c11 != inverse(X3)
      | sk_c10 != inverse(X11)
      | sk_c11 != inverse(X8)
      | sk_c10 != multiply(X11,sk_c11)
      | sk_c10 != multiply(X10,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).

fof(f168,plain,
    ( spl0_16
    | spl0_10 ),
    inference(avatar_split_clause,[],[f59,f110,f145]) ).

fof(f59,axiom,
    ( sk_c11 = inverse(sk_c2)
    | sk_c10 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).

fof(f166,plain,
    ( spl0_16
    | spl0_4 ),
    inference(avatar_split_clause,[],[f39,f82,f145]) ).

fof(f39,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | sk_c10 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f165,plain,
    ( spl0_1
    | spl0_9 ),
    inference(avatar_split_clause,[],[f4,f106,f69]) ).

fof(f4,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f163,plain,
    ( spl0_4
    | spl0_15 ),
    inference(avatar_split_clause,[],[f43,f138,f82]) ).

fof(f43,axiom,
    ( sk_c10 = multiply(sk_c9,sk_c11)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).

fof(f162,plain,
    ( spl0_15
    | spl0_7 ),
    inference(avatar_split_clause,[],[f23,f96,f138]) ).

fof(f23,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c9,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f161,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f57,f87,f110]) ).

fof(f57,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).

fof(f159,plain,
    ( spl0_14
    | spl0_7 ),
    inference(avatar_split_clause,[],[f22,f96,f133]) ).

fof(f22,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f157,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f44,f91,f106]) ).

fof(f44,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | sk_c11 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

fof(f156,plain,
    ( spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f60,f110,f78]) ).

fof(f60,axiom,
    ( sk_c11 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).

fof(f155,plain,
    ( spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f7,f69,f87]) ).

fof(f7,axiom,
    ( inverse(sk_c11) = sk_c10
    | sk_c11 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f153,plain,
    ( spl0_6
    | spl0_16 ),
    inference(avatar_split_clause,[],[f49,f145,f91]) ).

fof(f49,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).

fof(f152,plain,
    ( spl0_13
    | spl0_4 ),
    inference(avatar_split_clause,[],[f35,f82,f127]) ).

fof(f35,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

fof(f149,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f20,f78,f96]) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f148,plain,
    ( spl0_12
    | spl0_16 ),
    inference(avatar_split_clause,[],[f29,f145,f121]) ).

fof(f29,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f136,plain,
    ( spl0_14
    | spl0_12 ),
    inference(avatar_split_clause,[],[f32,f121,f133]) ).

fof(f32,axiom,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f131,plain,
    ( spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f30,f121,f78]) ).

fof(f30,axiom,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f130,plain,
    ( spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f5,f127,f69]) ).

fof(f5,axiom,
    ( sk_c5 = inverse(sk_c4)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f125,plain,
    ( spl0_12
    | spl0_9 ),
    inference(avatar_split_clause,[],[f24,f106,f121]) ).

fof(f24,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f124,plain,
    ( spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f28,f101,f121]) ).

fof(f28,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f114,plain,
    ( spl0_4
    | spl0_9 ),
    inference(avatar_split_clause,[],[f34,f106,f82]) ).

fof(f34,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f113,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f54,f110,f106]) ).

fof(f54,axiom,
    ( sk_c11 = inverse(sk_c2)
    | sk_c11 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).

fof(f104,plain,
    ( spl0_6
    | spl0_8 ),
    inference(avatar_split_clause,[],[f48,f101,f91]) ).

fof(f48,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).

fof(f94,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f47,f91,f87]) ).

fof(f47,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | sk_c11 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP238-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32  % Computer : n005.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Aug 29 22:22:03 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.18/0.42  % (7598)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.44  % (7598)Refutation not found, incomplete strategy% (7598)------------------------------
% 0.18/0.44  % (7598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.44  % (7598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.44  % (7598)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.44  
% 0.18/0.44  % (7598)Memory used [KB]: 6012
% 0.18/0.44  % (7598)Time elapsed: 0.071 s
% 0.18/0.44  % (7598)Instructions burned: 6 (million)
% 0.18/0.44  % (7598)------------------------------
% 0.18/0.44  % (7598)------------------------------
% 0.18/0.44  % (7608)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.18/0.44  % (7617)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.47  % (7601)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48  % (7618)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.48  % (7610)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.48  % (7608)Instruction limit reached!
% 0.18/0.48  % (7608)------------------------------
% 0.18/0.48  % (7608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (7618)Refutation not found, incomplete strategy% (7618)------------------------------
% 0.18/0.48  % (7618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (7608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (7608)Termination reason: Unknown
% 0.18/0.48  % (7608)Termination phase: Saturation
% 0.18/0.48  
% 0.18/0.48  % (7608)Memory used [KB]: 1663
% 0.18/0.48  % (7608)Time elapsed: 0.106 s
% 0.18/0.48  % (7608)Instructions burned: 30 (million)
% 0.18/0.48  % (7608)------------------------------
% 0.18/0.48  % (7608)------------------------------
% 0.18/0.48  % (7610)Instruction limit reached!
% 0.18/0.48  % (7610)------------------------------
% 0.18/0.48  % (7610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (7610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (7610)Termination reason: Unknown
% 0.18/0.48  % (7610)Termination phase: Finite model building preprocessing
% 0.18/0.48  
% 0.18/0.48  % (7610)Memory used [KB]: 1535
% 0.18/0.48  % (7610)Time elapsed: 0.004 s
% 0.18/0.48  % (7610)Instructions burned: 6 (million)
% 0.18/0.48  % (7610)------------------------------
% 0.18/0.48  % (7610)------------------------------
% 0.18/0.48  % (7618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (7618)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48  
% 0.18/0.48  % (7618)Memory used [KB]: 5884
% 0.18/0.48  % (7618)Time elapsed: 0.073 s
% 0.18/0.48  % (7618)Instructions burned: 6 (million)
% 0.18/0.48  % (7618)------------------------------
% 0.18/0.48  % (7618)------------------------------
% 0.18/0.49  % (7601)Refutation not found, incomplete strategy% (7601)------------------------------
% 0.18/0.49  % (7601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (7601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (7601)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49  
% 0.18/0.49  % (7601)Memory used [KB]: 6012
% 0.18/0.49  % (7601)Time elapsed: 0.078 s
% 0.18/0.49  % (7601)Instructions burned: 5 (million)
% 0.18/0.49  % (7601)------------------------------
% 0.18/0.49  % (7601)------------------------------
% 0.18/0.49  % (7600)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.50  % (7597)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.50  % (7599)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.50  % (7594)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.51  % (7604)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.51  % (7614)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51  % (7602)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51  % (7604)Instruction limit reached!
% 0.18/0.51  % (7604)------------------------------
% 0.18/0.51  % (7604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (7604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (7604)Termination reason: Unknown
% 0.18/0.51  % (7604)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (7604)Memory used [KB]: 5884
% 0.18/0.51  % (7604)Time elapsed: 0.125 s
% 0.18/0.51  % (7604)Instructions burned: 7 (million)
% 0.18/0.51  % (7604)------------------------------
% 0.18/0.51  % (7604)------------------------------
% 0.18/0.51  % (7602)Instruction limit reached!
% 0.18/0.51  % (7602)------------------------------
% 0.18/0.51  % (7602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (7602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (7602)Termination reason: Unknown
% 0.18/0.51  % (7602)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (7602)Memory used [KB]: 5884
% 0.18/0.51  % (7602)Time elapsed: 0.004 s
% 0.18/0.51  % (7602)Instructions burned: 4 (million)
% 0.18/0.51  % (7602)------------------------------
% 0.18/0.51  % (7602)------------------------------
% 0.18/0.51  % (7595)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.51  % (7607)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51  % (7624)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (7606)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.51  % (7603)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (7613)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.18/0.51  % (7606)Instruction limit reached!
% 0.18/0.51  % (7606)------------------------------
% 0.18/0.51  % (7606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (7606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (7606)Termination reason: Unknown
% 0.18/0.51  % (7606)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (7606)Memory used [KB]: 6012
% 0.18/0.51  % (7606)Time elapsed: 0.140 s
% 0.18/0.51  % (7606)Instructions burned: 6 (million)
% 0.18/0.51  % (7606)------------------------------
% 0.18/0.51  % (7606)------------------------------
% 0.18/0.52  % (7611)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52  % (7611)Instruction limit reached!
% 0.18/0.52  % (7611)------------------------------
% 0.18/0.52  % (7611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (7611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (7611)Termination reason: Unknown
% 0.18/0.52  % (7611)Termination phase: Property scanning
% 0.18/0.52  
% 0.18/0.52  % (7611)Memory used [KB]: 1279
% 0.18/0.52  % (7611)Time elapsed: 0.002 s
% 0.18/0.52  % (7611)Instructions burned: 2 (million)
% 0.18/0.52  % (7611)------------------------------
% 0.18/0.52  % (7611)------------------------------
% 0.18/0.52  % (7596)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.52  % (7616)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.52  % (7596)Instruction limit reached!
% 0.18/0.52  % (7596)------------------------------
% 0.18/0.52  % (7596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (7596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (7596)Termination reason: Unknown
% 0.18/0.52  % (7596)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (7596)Memory used [KB]: 5884
% 0.18/0.52  % (7596)Time elapsed: 0.004 s
% 0.18/0.52  % (7596)Instructions burned: 4 (million)
% 0.18/0.52  % (7596)------------------------------
% 0.18/0.52  % (7596)------------------------------
% 0.18/0.52  % (7619)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.52  % (7615)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.52  % (7616)Refutation not found, incomplete strategy% (7616)------------------------------
% 0.18/0.52  % (7616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (7616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (7616)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (7616)Memory used [KB]: 5884
% 0.18/0.52  % (7616)Time elapsed: 0.138 s
% 0.18/0.52  % (7616)Instructions burned: 5 (million)
% 0.18/0.52  % (7616)------------------------------
% 0.18/0.52  % (7616)------------------------------
% 0.18/0.52  % (7621)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.18/0.52  % (7622)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.18/0.52  % (7615)Instruction limit reached!
% 0.18/0.52  % (7615)------------------------------
% 0.18/0.52  % (7615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (7615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (7615)Termination reason: Unknown
% 0.18/0.52  % (7615)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (7615)Memory used [KB]: 1407
% 0.18/0.52  % (7615)Time elapsed: 0.004 s
% 0.18/0.52  % (7615)Instructions burned: 7 (million)
% 0.18/0.52  % (7615)------------------------------
% 0.18/0.52  % (7615)------------------------------
% 0.18/0.52  % (7597)Refutation not found, incomplete strategy% (7597)------------------------------
% 0.18/0.52  % (7597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (7597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (7597)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (7597)Memory used [KB]: 5884
% 0.18/0.52  % (7597)Time elapsed: 0.144 s
% 0.18/0.52  % (7597)Instructions burned: 5 (million)
% 0.18/0.52  % (7597)------------------------------
% 0.18/0.52  % (7597)------------------------------
% 0.18/0.52  % (7620)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.18/0.53  % (7605)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.53  % (7612)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.53  % (7607)Instruction limit reached!
% 0.18/0.53  % (7607)------------------------------
% 0.18/0.53  % (7607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (7607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (7607)Termination reason: Unknown
% 0.18/0.53  % (7607)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (7607)Memory used [KB]: 5884
% 0.18/0.53  % (7607)Time elapsed: 0.004 s
% 0.18/0.53  % (7607)Instructions burned: 4 (million)
% 0.18/0.53  % (7607)------------------------------
% 0.18/0.53  % (7607)------------------------------
% 0.18/0.53  % (7623)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.53  % (7614)Instruction limit reached!
% 0.18/0.53  % (7614)------------------------------
% 0.18/0.53  % (7614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (7614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (7614)Termination reason: Unknown
% 0.18/0.53  % (7614)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (7614)Memory used [KB]: 6012
% 0.18/0.53  % (7614)Time elapsed: 0.158 s
% 0.18/0.53  % (7614)Instructions burned: 7 (million)
% 0.18/0.53  % (7614)------------------------------
% 0.18/0.53  % (7614)------------------------------
% 0.18/0.54  % (7599)Instruction limit reached!
% 0.18/0.54  % (7599)------------------------------
% 0.18/0.54  % (7599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (7599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (7599)Termination reason: Unknown
% 0.18/0.54  % (7599)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (7599)Memory used [KB]: 6140
% 0.18/0.54  % (7599)Time elapsed: 0.137 s
% 0.18/0.54  % (7599)Instructions burned: 25 (million)
% 0.18/0.54  % (7599)------------------------------
% 0.18/0.54  % (7599)------------------------------
% 0.18/0.54  % (7623)Refutation not found, incomplete strategy% (7623)------------------------------
% 0.18/0.54  % (7623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (7623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (7623)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (7623)Memory used [KB]: 6012
% 0.18/0.54  % (7623)Time elapsed: 0.166 s
% 0.18/0.54  % (7623)Instructions burned: 5 (million)
% 0.18/0.54  % (7623)------------------------------
% 0.18/0.54  % (7623)------------------------------
% 0.18/0.54  % (7613)Refutation not found, incomplete strategy% (7613)------------------------------
% 0.18/0.54  % (7613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (7613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (7613)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (7613)Memory used [KB]: 10490
% 0.18/0.54  % (7613)Time elapsed: 0.173 s
% 0.18/0.54  % (7613)Instructions burned: 10 (million)
% 0.18/0.54  % (7613)------------------------------
% 0.18/0.54  % (7613)------------------------------
% 0.18/0.55  % (7656)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 0.18/0.55  % (7612)Instruction limit reached!
% 0.18/0.55  % (7612)------------------------------
% 0.18/0.55  % (7612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (7612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (7612)Termination reason: Unknown
% 0.18/0.55  % (7612)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (7612)Memory used [KB]: 6012
% 0.18/0.55  % (7612)Time elapsed: 0.160 s
% 0.18/0.55  % (7612)Instructions burned: 9 (million)
% 0.18/0.55  % (7612)------------------------------
% 0.18/0.55  % (7612)------------------------------
% 0.18/0.56  % (7656)Instruction limit reached!
% 0.18/0.56  % (7656)------------------------------
% 0.18/0.56  % (7656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.56  % (7600)Instruction limit reached!
% 1.80/0.56  % (7600)------------------------------
% 1.80/0.56  % (7600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.56  % (7600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.56  % (7600)Termination reason: Unknown
% 1.80/0.56  % (7600)Termination phase: Saturation
% 1.80/0.56  
% 1.80/0.56  % (7600)Memory used [KB]: 1663
% 1.80/0.56  % (7600)Time elapsed: 0.185 s
% 1.80/0.56  % (7600)Instructions burned: 49 (million)
% 1.80/0.56  % (7600)------------------------------
% 1.80/0.56  % (7600)------------------------------
% 1.80/0.57  % (7656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.57  % (7656)Termination reason: Unknown
% 1.80/0.57  % (7656)Termination phase: Saturation
% 1.80/0.57  
% 1.80/0.57  % (7656)Memory used [KB]: 6140
% 1.80/0.57  % (7656)Time elapsed: 0.074 s
% 1.80/0.57  % (7656)Instructions burned: 15 (million)
% 1.80/0.57  % (7656)------------------------------
% 1.80/0.57  % (7656)------------------------------
% 1.80/0.57  % (7605)Instruction limit reached!
% 1.80/0.57  % (7605)------------------------------
% 1.80/0.57  % (7605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.57  % (7605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.57  % (7605)Termination reason: Unknown
% 1.80/0.57  % (7605)Termination phase: Saturation
% 1.80/0.57  
% 1.80/0.57  % (7605)Memory used [KB]: 6268
% 1.80/0.57  % (7605)Time elapsed: 0.181 s
% 1.80/0.57  % (7605)Instructions burned: 24 (million)
% 1.80/0.57  % (7605)------------------------------
% 1.80/0.57  % (7605)------------------------------
% 1.80/0.57  % (7617)Instruction limit reached!
% 1.80/0.57  % (7617)------------------------------
% 1.80/0.57  % (7617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.57  % (7617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.57  % (7617)Termination reason: Unknown
% 1.80/0.57  % (7617)Termination phase: Saturation
% 1.80/0.57  
% 1.80/0.57  % (7617)Memory used [KB]: 6780
% 1.80/0.57  % (7617)Time elapsed: 0.194 s
% 1.80/0.57  % (7617)Instructions burned: 97 (million)
% 1.80/0.57  % (7617)------------------------------
% 1.80/0.57  % (7617)------------------------------
% 1.99/0.58  % (7595)Instruction limit reached!
% 1.99/0.58  % (7595)------------------------------
% 1.99/0.58  % (7595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.58  % (7595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.58  % (7595)Termination reason: Unknown
% 1.99/0.58  % (7595)Termination phase: Saturation
% 1.99/0.58  
% 1.99/0.58  % (7595)Memory used [KB]: 1791
% 1.99/0.58  % (7595)Time elapsed: 0.208 s
% 1.99/0.58  % (7595)Instructions burned: 42 (million)
% 1.99/0.58  % (7595)------------------------------
% 1.99/0.58  % (7595)------------------------------
% 1.99/0.59  % (7675)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 1.99/0.59  % (7603)Instruction limit reached!
% 1.99/0.59  % (7603)------------------------------
% 1.99/0.59  % (7603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.59  % (7603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.59  % (7603)Termination reason: Unknown
% 1.99/0.59  % (7603)Termination phase: Saturation
% 1.99/0.59  
% 1.99/0.59  % (7603)Memory used [KB]: 6780
% 1.99/0.59  % (7603)Time elapsed: 0.207 s
% 1.99/0.59  % (7603)Instructions burned: 52 (million)
% 1.99/0.59  % (7603)------------------------------
% 1.99/0.59  % (7603)------------------------------
% 1.99/0.59  % (7671)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.99/0.60  % (7672)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.99/0.60  % (7672)Instruction limit reached!
% 1.99/0.60  % (7672)------------------------------
% 1.99/0.60  % (7672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.60  % (7672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60  % (7672)Termination reason: Unknown
% 1.99/0.60  % (7672)Termination phase: Saturation
% 1.99/0.60  
% 1.99/0.60  % (7672)Memory used [KB]: 5884
% 1.99/0.60  % (7672)Time elapsed: 0.004 s
% 1.99/0.60  % (7672)Instructions burned: 4 (million)
% 1.99/0.60  % (7672)------------------------------
% 1.99/0.60  % (7672)------------------------------
% 1.99/0.60  % (7619)Instruction limit reached!
% 1.99/0.60  % (7619)------------------------------
% 1.99/0.60  % (7619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.60  % (7619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60  % (7619)Termination reason: Unknown
% 1.99/0.60  % (7619)Termination phase: Saturation
% 1.99/0.60  
% 1.99/0.60  % (7619)Memory used [KB]: 6908
% 1.99/0.60  % (7619)Time elapsed: 0.230 s
% 1.99/0.60  % (7619)Instructions burned: 47 (million)
% 1.99/0.60  % (7619)------------------------------
% 1.99/0.60  % (7619)------------------------------
% 1.99/0.60  % (7677)dis+21_1:2_av=off:bd=off:fd=off:lcm=predicate:nwc=10.0:s2a=on:s2at=2.0:sp=reverse_arity:spb=goal:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 1.99/0.60  % (7622)Refutation not found, non-redundant clauses discarded% (7622)------------------------------
% 1.99/0.60  % (7622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.60  % (7622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60  % (7622)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.99/0.60  
% 1.99/0.60  % (7622)Memory used [KB]: 1791
% 1.99/0.60  % (7622)Time elapsed: 0.229 s
% 1.99/0.60  % (7622)Instructions burned: 63 (million)
% 1.99/0.60  % (7622)------------------------------
% 1.99/0.60  % (7622)------------------------------
% 1.99/0.61  % (7671)Refutation not found, incomplete strategy% (7671)------------------------------
% 1.99/0.61  % (7671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61  % (7671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61  % (7671)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.61  
% 1.99/0.61  % (7671)Memory used [KB]: 6012
% 1.99/0.61  % (7671)Time elapsed: 0.063 s
% 1.99/0.61  % (7671)Instructions burned: 10 (million)
% 1.99/0.61  % (7671)------------------------------
% 1.99/0.61  % (7671)------------------------------
% 1.99/0.63  % (7675)First to succeed.
% 2.32/0.64  % (7675)Refutation found. Thanks to Tanya!
% 2.32/0.64  % SZS status Unsatisfiable for theBenchmark
% 2.32/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.64  % (7675)------------------------------
% 2.32/0.64  % (7675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.64  % (7675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.64  % (7675)Termination reason: Refutation
% 2.32/0.64  
% 2.32/0.64  % (7675)Memory used [KB]: 6396
% 2.32/0.64  % (7675)Time elapsed: 0.107 s
% 2.32/0.64  % (7675)Instructions burned: 27 (million)
% 2.32/0.64  % (7675)------------------------------
% 2.32/0.64  % (7675)------------------------------
% 2.32/0.64  % (7590)Success in time 0.313 s
%------------------------------------------------------------------------------