%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP329-1 : 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 : n026.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 16:15:23 EDT 2022

% Result   : Unsatisfiable 2.25s 0.67s
% Output   : Refutation 2.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   81
% Syntax   : Number of formulae    :  415 (  35 unt;   0 def)
%            Number of atoms       : 1754 ( 499 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives : 2586 (1247   ~;1317   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  23 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  23 con; 0-2 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2225,plain,
    $false,
    inference(avatar_sat_refutation,[],[f112,f117,f122,f131,f136,f145,f150,f151,f156,f157,f158,f159,f160,f165,f178,f179,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f355,f433,f451,f489,f525,f853,f1414,f1882,f2121,f2143,f2150,f2158,f2180,f2188,f2210,f2224]) ).

fof(f2224,plain,
    ( ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_16 ),
    inference(avatar_contradiction_clause,[],[f2223]) ).

fof(f2223,plain,
    ( $false
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_16 ),
    inference(subsumption_resolution,[],[f2222,f2123]) ).

fof(f2123,plain,
    ( identity = inverse(identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f2083,f2087]) ).

fof(f2087,plain,
    ( identity = sk_c8
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f2084,f2085]) ).

fof(f2085,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f2061,f2068]) ).

fof(f2068,plain,
    ( sk_c8 = sk_c9
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f2067,f2060]) ).

fof(f2060,plain,
    ( sk_c8 = multiply(sk_c8,sk_c9)
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f541,f1947]) ).

fof(f1947,plain,
    ( sk_c9 = sk_c7
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f1144,f164]) ).

fof(f164,plain,
    ( sk_c9 = sF8
    | ~ spl13_12 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl13_12
  <=> sk_c9 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).

fof(f1144,plain,
    ( sk_c7 = sF8
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9 ),
    inference(backward_demodulation,[],[f551,f593]) ).

fof(f593,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl13_9 ),
    inference(forward_demodulation,[],[f60,f144]) ).

fof(f144,plain,
    ( sk_c7 = sF7
    | ~ spl13_9 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl13_9
  <=> sk_c7 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).

fof(f60,plain,
    multiply(sk_c4,sk_c8) = sF7,
    introduced(function_definition,[]) ).

fof(f551,plain,
    ( multiply(sk_c4,sk_c8) = sF8
    | ~ spl13_6
    | ~ spl13_7 ),
    inference(backward_demodulation,[],[f62,f547]) ).

fof(f547,plain,
    ( sk_c4 = sk_c5
    | ~ spl13_6
    | ~ spl13_7 ),
    inference(forward_demodulation,[],[f543,f532]) ).

fof(f532,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl13_6 ),
    inference(backward_demodulation,[],[f264,f130]) ).

fof(f130,plain,
    ( sk_c8 = sF12
    | ~ spl13_6 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl13_6
  <=> sk_c8 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).

fof(f264,plain,
    sk_c4 = multiply(inverse(sF12),identity),
    inference(superposition,[],[f236,f218]) ).

fof(f218,plain,
    identity = multiply(sF12,sk_c4),
    inference(superposition,[],[f2,f77]) ).

fof(f77,plain,
    inverse(sk_c4) = sF12,
    introduced(function_definition,[]) ).

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

fof(f236,plain,
    ! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
    inference(forward_demodulation,[],[f224,f1]) ).

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

fof(f224,plain,
    ! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
    inference(superposition,[],[f3,f2]) ).

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

fof(f543,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl13_7 ),
    inference(backward_demodulation,[],[f265,f135]) ).

fof(f135,plain,
    ( sk_c8 = sF3
    | ~ spl13_7 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl13_7
  <=> sk_c8 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).

fof(f265,plain,
    sk_c5 = multiply(inverse(sF3),identity),
    inference(superposition,[],[f236,f219]) ).

fof(f219,plain,
    identity = multiply(sF3,sk_c5),
    inference(superposition,[],[f2,f52]) ).

fof(f52,plain,
    inverse(sk_c5) = sF3,
    introduced(function_definition,[]) ).

fof(f62,plain,
    multiply(sk_c5,sk_c8) = sF8,
    introduced(function_definition,[]) ).

fof(f541,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl13_6
    | ~ spl13_9 ),
    inference(forward_demodulation,[],[f540,f130]) ).

fof(f540,plain,
    ( sk_c8 = multiply(sF12,sk_c7)
    | ~ spl13_9 ),
    inference(forward_demodulation,[],[f271,f144]) ).

fof(f271,plain,
    sk_c8 = multiply(sF12,sF7),
    inference(forward_demodulation,[],[f257,f77]) ).

fof(f257,plain,
    sk_c8 = multiply(inverse(sk_c4),sF7),
    inference(superposition,[],[f236,f60]) ).

fof(f2067,plain,
    ( sk_c9 = multiply(sk_c8,sk_c9)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f2057,f2063]) ).

fof(f2063,plain,
    ( sk_c8 = sk_c6
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f569,f2056]) ).

fof(f2056,plain,
    ( sk_c8 = multiply(inverse(sk_c9),identity)
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f260,f1949]) ).

fof(f1949,plain,
    ( sk_c9 = sF1
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f155,f1947]) ).

fof(f155,plain,
    ( sk_c7 = sF1
    | ~ spl13_11 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl13_11
  <=> sk_c7 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).

fof(f260,plain,
    sk_c8 = multiply(inverse(sF1),identity),
    inference(superposition,[],[f236,f217]) ).

fof(f217,plain,
    identity = multiply(sF1,sk_c8),
    inference(superposition,[],[f2,f49]) ).

fof(f49,plain,
    inverse(sk_c8) = sF1,
    introduced(function_definition,[]) ).

fof(f569,plain,
    ( sk_c6 = multiply(inverse(sk_c9),identity)
    | ~ spl13_4 ),
    inference(backward_demodulation,[],[f266,f121]) ).

fof(f121,plain,
    ( sk_c9 = sF11
    | ~ spl13_4 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl13_4
  <=> sk_c9 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f266,plain,
    sk_c6 = multiply(inverse(sF11),identity),
    inference(superposition,[],[f236,f220]) ).

fof(f220,plain,
    identity = multiply(sF11,sk_c6),
    inference(superposition,[],[f2,f71]) ).

fof(f71,plain,
    inverse(sk_c6) = sF11,
    introduced(function_definition,[]) ).

fof(f2057,plain,
    ( sk_c9 = multiply(sk_c6,sk_c9)
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f1054,f1947]) ).

fof(f1054,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | ~ spl13_1 ),
    inference(forward_demodulation,[],[f57,f107]) ).

fof(f107,plain,
    ( sk_c7 = sF6
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl13_1
  <=> sk_c7 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f57,plain,
    multiply(sk_c6,sk_c9) = sF6,
    introduced(function_definition,[]) ).

fof(f2061,plain,
    ( identity = multiply(sk_c9,sk_c8)
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f536,f1947]) ).

fof(f536,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl13_11 ),
    inference(backward_demodulation,[],[f217,f155]) ).

fof(f2084,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f2060,f2068]) ).

fof(f2083,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f2059,f2068]) ).

fof(f2059,plain,
    ( sk_c9 = inverse(sk_c8)
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f554,f1947]) ).

fof(f554,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl13_11 ),
    inference(forward_demodulation,[],[f49,f155]) ).

fof(f2222,plain,
    ( identity != inverse(identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_16 ),
    inference(forward_demodulation,[],[f2218,f2123]) ).

fof(f2218,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_16 ),
    inference(trivial_inequality_removal,[],[f2216]) ).

fof(f2216,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_16 ),
    inference(superposition,[],[f2213,f2]) ).

fof(f2213,plain,
    ( ! [X8] :
        ( identity != multiply(X8,identity)
        | identity != inverse(X8) )
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_16 ),
    inference(forward_demodulation,[],[f2212,f2122]) ).

fof(f2122,plain,
    ( identity = sk_c7
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f2079,f2087]) ).

fof(f2079,plain,
    ( sk_c8 = sk_c7
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f1947,f2068]) ).

fof(f2212,plain,
    ( ! [X8] :
        ( sk_c7 != multiply(X8,identity)
        | identity != inverse(X8) )
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_16 ),
    inference(forward_demodulation,[],[f2211,f2096]) ).

fof(f2096,plain,
    ( identity = sk_c9
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f2068,f2087]) ).

fof(f2211,plain,
    ( ! [X8] :
        ( sk_c7 != multiply(X8,sk_c9)
        | identity != inverse(X8) )
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_16 ),
    inference(forward_demodulation,[],[f177,f2096]) ).

fof(f177,plain,
    ( ! [X8] :
        ( sk_c9 != inverse(X8)
        | sk_c7 != multiply(X8,sk_c9) )
    | ~ spl13_16 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl13_16
  <=> ! [X8] :
        ( sk_c7 != multiply(X8,sk_c9)
        | sk_c9 != inverse(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).

fof(f2210,plain,
    ( ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_14 ),
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2209,plain,
    ( $false
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_14 ),
    inference(subsumption_resolution,[],[f2204,f2123]) ).

fof(f2204,plain,
    ( identity != inverse(identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_14 ),
    inference(trivial_inequality_removal,[],[f2201]) ).

fof(f2201,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_14 ),
    inference(superposition,[],[f2186,f1]) ).

fof(f2186,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_14 ),
    inference(forward_demodulation,[],[f2185,f2096]) ).

fof(f2185,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c9 != multiply(X3,identity) )
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_14 ),
    inference(forward_demodulation,[],[f2184,f2087]) ).

fof(f2184,plain,
    ( ! [X3] :
        ( sk_c9 != multiply(X3,sk_c8)
        | identity != inverse(X3) )
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_14 ),
    inference(forward_demodulation,[],[f171,f2087]) ).

fof(f171,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c9 != multiply(X3,sk_c8) )
    | ~ spl13_14 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl13_14
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c9 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).

fof(f2188,plain,
    ( spl13_30
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f2174,f162,f153,f142,f133,f128,f119,f105,f527]) ).

fof(f527,plain,
    ( spl13_30
  <=> identity = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).

fof(f2174,plain,
    ( identity = sk_c4
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f2173,f1]) ).

fof(f2173,plain,
    ( sk_c4 = multiply(identity,identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f555,f2122]) ).

fof(f555,plain,
    ( sk_c4 = multiply(sk_c7,identity)
    | ~ spl13_6
    | ~ spl13_11 ),
    inference(backward_demodulation,[],[f532,f554]) ).

fof(f2180,plain,
    ( spl13_22
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f2093,f162,f153,f142,f133,f128,f119,f105,f423]) ).

fof(f423,plain,
    ( spl13_22
  <=> identity = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).

fof(f2093,plain,
    ( identity = inverse(sk_c4)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f535,f2087]) ).

fof(f535,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl13_6 ),
    inference(backward_demodulation,[],[f77,f130]) ).

fof(f2158,plain,
    ( ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | spl13_28 ),
    inference(avatar_contradiction_clause,[],[f2157]) ).

fof(f2157,plain,
    ( $false
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | spl13_28 ),
    inference(subsumption_resolution,[],[f2156,f494]) ).

fof(f494,plain,
    ( identity != sF11
    | spl13_28 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f492,plain,
    ( spl13_28
  <=> identity = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).

fof(f2156,plain,
    ( identity = sF11
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f121,f2096]) ).

fof(f2150,plain,
    ( ~ spl13_1
    | ~ spl13_4
    | spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(avatar_contradiction_clause,[],[f2149]) ).

fof(f2149,plain,
    ( $false
    | ~ spl13_1
    | ~ spl13_4
    | spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(subsumption_resolution,[],[f2148,f2107]) ).

fof(f2107,plain,
    ( identity != sF10
    | ~ spl13_1
    | ~ spl13_4
    | spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f2086,f2087]) ).

fof(f2086,plain,
    ( sk_c8 != sF10
    | ~ spl13_1
    | ~ spl13_4
    | spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f2062,f2068]) ).

fof(f2062,plain,
    ( sk_c9 != sF10
    | spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f125,f1947]) ).

fof(f125,plain,
    ( sk_c7 != sF10
    | spl13_5 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl13_5
  <=> sk_c7 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

fof(f2148,plain,
    ( identity = sF10
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f2147,f1]) ).

fof(f2147,plain,
    ( multiply(identity,identity) = sF10
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f2146,f2087]) ).

fof(f2146,plain,
    ( sF10 = multiply(sk_c8,identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f66,f2096]) ).

fof(f66,plain,
    multiply(sk_c8,sk_c9) = sF10,
    introduced(function_definition,[]) ).

fof(f2143,plain,
    ( ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | spl13_18 ),
    inference(avatar_contradiction_clause,[],[f2142]) ).

fof(f2142,plain,
    ( $false
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | spl13_18 ),
    inference(subsumption_resolution,[],[f2141,f405]) ).

fof(f405,plain,
    ( identity != sF6
    | spl13_18 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f403,plain,
    ( spl13_18
  <=> identity = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).

fof(f2141,plain,
    ( identity = sF6
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f1951,f2096]) ).

fof(f1951,plain,
    ( sk_c9 = sF6
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f107,f1947]) ).

fof(f2121,plain,
    ( ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | spl13_21 ),
    inference(avatar_contradiction_clause,[],[f2120]) ).

fof(f2120,plain,
    ( $false
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | spl13_21 ),
    inference(subsumption_resolution,[],[f2119,f420]) ).

fof(f420,plain,
    ( identity != sF8
    | spl13_21 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl13_21
  <=> identity = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).

fof(f2119,plain,
    ( identity = sF8
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f2069,f2087]) ).

fof(f2069,plain,
    ( sk_c8 = sF8
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f164,f2068]) ).

fof(f1882,plain,
    ( ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | spl13_21
    | ~ spl13_30 ),
    inference(avatar_contradiction_clause,[],[f1881]) ).

fof(f1881,plain,
    ( $false
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | spl13_21
    | ~ spl13_30 ),
    inference(subsumption_resolution,[],[f1880,f420]) ).

fof(f1880,plain,
    ( identity = sF8
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_30 ),
    inference(forward_demodulation,[],[f1144,f1854]) ).

fof(f1854,plain,
    ( identity = sk_c7
    | ~ spl13_6
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_30 ),
    inference(backward_demodulation,[],[f1629,f1853]) ).

fof(f1853,plain,
    ( identity = sk_c8
    | ~ spl13_6
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_30 ),
    inference(backward_demodulation,[],[f1631,f1852]) ).

fof(f1852,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_30 ),
    inference(forward_demodulation,[],[f536,f1629]) ).

fof(f1631,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl13_6
    | ~ spl13_9
    | ~ spl13_30 ),
    inference(forward_demodulation,[],[f541,f1629]) ).

fof(f1629,plain,
    ( sk_c8 = sk_c7
    | ~ spl13_9
    | ~ spl13_30 ),
    inference(forward_demodulation,[],[f1628,f1]) ).

fof(f1628,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl13_9
    | ~ spl13_30 ),
    inference(forward_demodulation,[],[f593,f528]) ).

fof(f528,plain,
    ( identity = sk_c4
    | ~ spl13_30 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f1414,plain,
    ( ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13 ),
    inference(subsumption_resolution,[],[f1412,f1350]) ).

fof(f1350,plain,
    ( identity = inverse(identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f1349,f1306]) ).

fof(f1306,plain,
    ( identity = sk_c9
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f1284,f1302]) ).

fof(f1302,plain,
    ( ! [X10] : multiply(sk_c9,X10) = X10
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f1286,f1]) ).

fof(f1286,plain,
    ( ! [X10] : multiply(sk_c9,X10) = multiply(identity,X10)
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f1264,f1270]) ).

fof(f1270,plain,
    ( identity = sk_c8
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f1260,f1269]) ).

fof(f1269,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f536,f1255]) ).

fof(f1255,plain,
    ( sk_c8 = sk_c7
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f211,f985]) ).

fof(f985,plain,
    ( sk_c8 = multiply(sk_c8,sk_c9)
    | ~ spl13_7
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f542,f164]) ).

fof(f542,plain,
    ( sk_c8 = multiply(sk_c8,sF8)
    | ~ spl13_7 ),
    inference(backward_demodulation,[],[f364,f135]) ).

fof(f364,plain,
    sk_c8 = multiply(sF3,sF8),
    inference(forward_demodulation,[],[f258,f52]) ).

fof(f258,plain,
    sk_c8 = multiply(inverse(sk_c5),sF8),
    inference(superposition,[],[f236,f62]) ).

fof(f211,plain,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | ~ spl13_5 ),
    inference(backward_demodulation,[],[f66,f126]) ).

fof(f126,plain,
    ( sk_c7 = sF10
    | ~ spl13_5 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f1260,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f541,f1255]) ).

fof(f1264,plain,
    ( ! [X10] : multiply(sk_c9,X10) = multiply(sk_c8,X10)
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f1049,f1255]) ).

fof(f1049,plain,
    ( ! [X10] : multiply(sk_c9,X10) = multiply(sk_c7,X10)
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f552,f164]) ).

fof(f552,plain,
    ( ! [X10] : multiply(sk_c7,X10) = multiply(sF8,X10)
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9 ),
    inference(forward_demodulation,[],[f550,f538]) ).

fof(f538,plain,
    ( ! [X9] : multiply(sk_c7,X9) = multiply(sk_c4,multiply(sk_c8,X9))
    | ~ spl13_9 ),
    inference(forward_demodulation,[],[f227,f144]) ).

fof(f227,plain,
    ! [X9] : multiply(sk_c4,multiply(sk_c8,X9)) = multiply(sF7,X9),
    inference(superposition,[],[f3,f60]) ).

fof(f550,plain,
    ( ! [X10] : multiply(sF8,X10) = multiply(sk_c4,multiply(sk_c8,X10))
    | ~ spl13_6
    | ~ spl13_7 ),
    inference(backward_demodulation,[],[f228,f547]) ).

fof(f228,plain,
    ! [X10] : multiply(sk_c5,multiply(sk_c8,X10)) = multiply(sF8,X10),
    inference(superposition,[],[f3,f62]) ).

fof(f1284,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f1262,f1270]) ).

fof(f1262,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f568,f1255]) ).

fof(f568,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | ~ spl13_1
    | ~ spl13_4 ),
    inference(backward_demodulation,[],[f566,f121]) ).

fof(f566,plain,
    ( sk_c9 = multiply(sF11,sk_c7)
    | ~ spl13_1 ),
    inference(backward_demodulation,[],[f369,f107]) ).

fof(f369,plain,
    sk_c9 = multiply(sF11,sF6),
    inference(forward_demodulation,[],[f263,f71]) ).

fof(f263,plain,
    sk_c9 = multiply(inverse(sk_c6),sF6),
    inference(superposition,[],[f236,f57]) ).

fof(f1349,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f572,f1321]) ).

fof(f1321,plain,
    ( identity = sk_c6
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f1309,f2]) ).

fof(f1309,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f569,f1306]) ).

fof(f572,plain,
    ( sk_c9 = inverse(sk_c6)
    | ~ spl13_4 ),
    inference(backward_demodulation,[],[f71,f121]) ).

fof(f1412,plain,
    ( identity != inverse(identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13 ),
    inference(forward_demodulation,[],[f1407,f1350]) ).

fof(f1407,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13 ),
    inference(trivial_inequality_removal,[],[f1404]) ).

fof(f1404,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13 ),
    inference(superposition,[],[f1388,f2]) ).

fof(f1388,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13 ),
    inference(forward_demodulation,[],[f1387,f1278]) ).

fof(f1278,plain,
    ( identity = sk_c7
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12 ),
    inference(backward_demodulation,[],[f1255,f1270]) ).

fof(f1387,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13 ),
    inference(forward_demodulation,[],[f1386,f1270]) ).

fof(f1386,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c7 != multiply(X6,identity) )
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_9
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13 ),
    inference(forward_demodulation,[],[f168,f1270]) ).

fof(f168,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c8) )
    | ~ spl13_13 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f167,plain,
    ( spl13_13
  <=> ! [X6] :
        ( sk_c7 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).

fof(f853,plain,
    ( ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_15
    | ~ spl13_18
    | ~ spl13_21
    | ~ spl13_22
    | ~ spl13_28
    | ~ spl13_30 ),
    inference(avatar_contradiction_clause,[],[f852]) ).

fof(f852,plain,
    ( $false
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_15
    | ~ spl13_18
    | ~ spl13_21
    | ~ spl13_22
    | ~ spl13_28
    | ~ spl13_30 ),
    inference(subsumption_resolution,[],[f851,f680]) ).

fof(f680,plain,
    ( identity = inverse(identity)
    | ~ spl13_22
    | ~ spl13_30 ),
    inference(forward_demodulation,[],[f424,f528]) ).

fof(f424,plain,
    ( identity = inverse(sk_c4)
    | ~ spl13_22 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f851,plain,
    ( identity != inverse(identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_15
    | ~ spl13_18
    | ~ spl13_21
    | ~ spl13_22
    | ~ spl13_28
    | ~ spl13_30 ),
    inference(forward_demodulation,[],[f850,f680]) ).

fof(f850,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_15
    | ~ spl13_18
    | ~ spl13_21
    | ~ spl13_28 ),
    inference(subsumption_resolution,[],[f846,f1]) ).

fof(f846,plain,
    ( identity != inverse(inverse(identity))
    | identity != multiply(identity,identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_15
    | ~ spl13_18
    | ~ spl13_21
    | ~ spl13_28 ),
    inference(superposition,[],[f763,f2]) ).

fof(f763,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_15
    | ~ spl13_18
    | ~ spl13_21
    | ~ spl13_28 ),
    inference(forward_demodulation,[],[f762,f721]) ).

fof(f721,plain,
    ( identity = sk_c9
    | ~ spl13_4
    | ~ spl13_28 ),
    inference(forward_demodulation,[],[f121,f493]) ).

fof(f493,plain,
    ( identity = sF11
    | ~ spl13_28 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f762,plain,
    ( ! [X5] :
        ( sk_c9 != inverse(X5)
        | identity != multiply(identity,multiply(X5,identity)) )
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_15
    | ~ spl13_18
    | ~ spl13_21
    | ~ spl13_28 ),
    inference(forward_demodulation,[],[f761,f751]) ).

fof(f751,plain,
    ( identity = sk_c8
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_7
    | ~ spl13_18
    | ~ spl13_21
    | ~ spl13_28 ),
    inference(forward_demodulation,[],[f750,f737]) ).

fof(f737,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl13_1
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_18
    | ~ spl13_28 ),
    inference(forward_demodulation,[],[f736,f721]) ).

fof(f736,plain,
    ( identity = multiply(sk_c8,sk_c9)
    | ~ spl13_1
    | ~ spl13_5
    | ~ spl13_18 ),
    inference(forward_demodulation,[],[f211,f730]) ).

fof(f730,plain,
    ( identity = sk_c7
    | ~ spl13_1
    | ~ spl13_18 ),
    inference(forward_demodulation,[],[f107,f404]) ).

fof(f404,plain,
    ( identity = sF6
    | ~ spl13_18 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f750,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl13_7
    | ~ spl13_21 ),
    inference(forward_demodulation,[],[f542,f419]) ).

fof(f419,plain,
    ( identity = sF8
    | ~ spl13_21 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f761,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(identity,multiply(X5,identity))
        | sk_c9 != inverse(X5) )
    | ~ spl13_4
    | ~ spl13_15
    | ~ spl13_28 ),
    inference(forward_demodulation,[],[f174,f721]) ).

fof(f174,plain,
    ( ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) )
    | ~ spl13_15 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl13_15
  <=> ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).

fof(f525,plain,
    ( ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_16
    | ~ spl13_17 ),
    inference(avatar_contradiction_clause,[],[f524]) ).

fof(f524,plain,
    ( $false
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_16
    | ~ spl13_17 ),
    inference(subsumption_resolution,[],[f523,f346]) ).

fof(f346,plain,
    ( identity = inverse(identity)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f317,f340]) ).

fof(f340,plain,
    ( identity = sk_c1
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f272,f318]) ).

fof(f318,plain,
    ( identity = multiply(sF1,identity)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f217,f311]) ).

fof(f311,plain,
    ( identity = sk_c8
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f308,f217]) ).

fof(f308,plain,
    ( sk_c8 = multiply(sF1,sk_c8)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f293,f307]) ).

fof(f307,plain,
    ( sk_c8 = sk_c7
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f280,f303]) ).

fof(f303,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f284,f299]) ).

fof(f299,plain,
    ( sk_c8 = sk_c3
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f298,f283]) ).

fof(f283,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl13_2
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f214,f276]) ).

fof(f276,plain,
    ( sk_c8 = sk_c9
    | ~ spl13_2
    | ~ spl13_8
    | ~ spl13_10 ),
    inference(forward_demodulation,[],[f275,f216]) ).

fof(f216,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl13_10 ),
    inference(backward_demodulation,[],[f56,f149]) ).

fof(f149,plain,
    ( sk_c8 = sF5
    | ~ spl13_10 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f147,plain,
    ( spl13_10
  <=> sk_c8 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).

fof(f56,plain,
    multiply(sk_c9,sk_c3) = sF5,
    introduced(function_definition,[]) ).

fof(f275,plain,
    ( sk_c9 = multiply(sk_c9,sk_c3)
    | ~ spl13_2
    | ~ spl13_8 ),
    inference(forward_demodulation,[],[f262,f212]) ).

fof(f212,plain,
    ( sk_c9 = inverse(sk_c2)
    | ~ spl13_2 ),
    inference(backward_demodulation,[],[f51,f111]) ).

fof(f111,plain,
    ( sk_c9 = sF2
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f109,plain,
    ( spl13_2
  <=> sk_c9 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f51,plain,
    inverse(sk_c2) = sF2,
    introduced(function_definition,[]) ).

fof(f262,plain,
    ( sk_c9 = multiply(inverse(sk_c2),sk_c3)
    | ~ spl13_8 ),
    inference(superposition,[],[f236,f213]) ).

fof(f213,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl13_8 ),
    inference(backward_demodulation,[],[f54,f140]) ).

fof(f140,plain,
    ( sk_c3 = sF4
    | ~ spl13_8 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl13_8
  <=> sk_c3 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).

fof(f54,plain,
    multiply(sk_c2,sk_c9) = sF4,
    introduced(function_definition,[]) ).

fof(f214,plain,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f63,f183]) ).

fof(f183,plain,
    ( sk_c9 = sF9
    | ~ spl13_17 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f181,plain,
    ( spl13_17
  <=> sk_c9 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).

fof(f63,plain,
    multiply(sk_c1,sk_c8) = sF9,
    introduced(function_definition,[]) ).

fof(f298,plain,
    ( multiply(sk_c1,sk_c8) = sk_c3
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_8
    | ~ spl13_10 ),
    inference(forward_demodulation,[],[f282,f295]) ).

fof(f295,plain,
    ( sk_c1 = sk_c2
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_8
    | ~ spl13_10 ),
    inference(forward_demodulation,[],[f294,f272]) ).

fof(f294,plain,
    ( sk_c2 = multiply(sF1,identity)
    | ~ spl13_2
    | ~ spl13_8
    | ~ spl13_10 ),
    inference(forward_demodulation,[],[f292,f49]) ).

fof(f292,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl13_2
    | ~ spl13_8
    | ~ spl13_10 ),
    inference(backward_demodulation,[],[f269,f276]) ).

fof(f269,plain,
    ( sk_c2 = multiply(inverse(sk_c9),identity)
    | ~ spl13_2 ),
    inference(superposition,[],[f236,f222]) ).

fof(f222,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl13_2 ),
    inference(superposition,[],[f2,f212]) ).

fof(f282,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl13_2
    | ~ spl13_8
    | ~ spl13_10 ),
    inference(backward_demodulation,[],[f213,f276]) ).

fof(f284,plain,
    ( sk_c8 = multiply(sk_c8,sk_c3)
    | ~ spl13_2
    | ~ spl13_8
    | ~ spl13_10 ),
    inference(backward_demodulation,[],[f216,f276]) ).

fof(f280,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl13_2
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10 ),
    inference(backward_demodulation,[],[f211,f276]) ).

fof(f293,plain,
    ( sk_c8 = multiply(sF1,sk_c7)
    | ~ spl13_2
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10 ),
    inference(backward_demodulation,[],[f274,f276]) ).

fof(f274,plain,
    ( sk_c9 = multiply(sF1,sk_c7)
    | ~ spl13_5 ),
    inference(forward_demodulation,[],[f261,f49]) ).

fof(f261,plain,
    ( sk_c9 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl13_5 ),
    inference(superposition,[],[f236,f211]) ).

fof(f272,plain,
    ( sk_c1 = multiply(sF1,identity)
    | ~ spl13_3 ),
    inference(forward_demodulation,[],[f267,f49]) ).

fof(f267,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl13_3 ),
    inference(superposition,[],[f236,f221]) ).

fof(f221,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl13_3 ),
    inference(superposition,[],[f2,f215]) ).

fof(f215,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl13_3 ),
    inference(backward_demodulation,[],[f48,f116]) ).

fof(f116,plain,
    ( sk_c8 = sF0
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl13_3
  <=> sk_c8 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f48,plain,
    inverse(sk_c1) = sF0,
    introduced(function_definition,[]) ).

fof(f317,plain,
    ( identity = inverse(sk_c1)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f215,f311]) ).

fof(f523,plain,
    ( identity != inverse(identity)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_16
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f518,f346]) ).

fof(f518,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_16
    | ~ spl13_17 ),
    inference(trivial_inequality_removal,[],[f516]) ).

fof(f516,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_16
    | ~ spl13_17 ),
    inference(superposition,[],[f502,f2]) ).

fof(f502,plain,
    ( ! [X8] :
        ( identity != multiply(X8,identity)
        | identity != inverse(X8) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_16
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f501,f336]) ).

fof(f336,plain,
    ( identity = sk_c7
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f307,f311]) ).

fof(f501,plain,
    ( ! [X8] :
        ( identity != inverse(X8)
        | sk_c7 != multiply(X8,identity) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_16
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f500,f325]) ).

fof(f325,plain,
    ( identity = sk_c9
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f276,f311]) ).

fof(f500,plain,
    ( ! [X8] :
        ( identity != inverse(X8)
        | sk_c7 != multiply(X8,sk_c9) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_16
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f177,f325]) ).

fof(f489,plain,
    ( ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_15
    | ~ spl13_17 ),
    inference(avatar_contradiction_clause,[],[f488]) ).

fof(f488,plain,
    ( $false
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_15
    | ~ spl13_17 ),
    inference(subsumption_resolution,[],[f487,f346]) ).

fof(f487,plain,
    ( identity != inverse(identity)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_15
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f486,f346]) ).

fof(f486,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_15
    | ~ spl13_17 ),
    inference(subsumption_resolution,[],[f460,f1]) ).

fof(f460,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_15
    | ~ spl13_17 ),
    inference(superposition,[],[f455,f2]) ).

fof(f455,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_15
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f454,f311]) ).

fof(f454,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c8 != multiply(identity,multiply(X5,identity)) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_15
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f453,f325]) ).

fof(f453,plain,
    ( ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c8 != multiply(identity,multiply(X5,identity)) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_15
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f174,f325]) ).

fof(f451,plain,
    ( ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_14
    | ~ spl13_17 ),
    inference(avatar_contradiction_clause,[],[f450]) ).

fof(f450,plain,
    ( $false
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_14
    | ~ spl13_17 ),
    inference(subsumption_resolution,[],[f449,f346]) ).

fof(f449,plain,
    ( identity != inverse(identity)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_14
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f443,f346]) ).

fof(f443,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_14
    | ~ spl13_17 ),
    inference(trivial_inequality_removal,[],[f441]) ).

fof(f441,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_14
    | ~ spl13_17 ),
    inference(superposition,[],[f436,f2]) ).

fof(f436,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_14
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f435,f325]) ).

fof(f435,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c9 != multiply(X3,identity) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_14
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f434,f311]) ).

fof(f434,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c9 != multiply(X3,identity) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_14
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f171,f311]) ).

fof(f433,plain,
    ( ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_13
    | ~ spl13_17 ),
    inference(avatar_contradiction_clause,[],[f432]) ).

fof(f432,plain,
    ( $false
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_13
    | ~ spl13_17 ),
    inference(subsumption_resolution,[],[f431,f346]) ).

fof(f431,plain,
    ( identity != inverse(identity)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_13
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f400,f346]) ).

fof(f400,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_13
    | ~ spl13_17 ),
    inference(trivial_inequality_removal,[],[f398]) ).

fof(f398,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_13
    | ~ spl13_17 ),
    inference(superposition,[],[f378,f2]) ).

fof(f378,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_13
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f377,f336]) ).

fof(f377,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c7 != multiply(X6,identity) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_13
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f376,f311]) ).

fof(f376,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c7 != multiply(X6,identity) )
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_13
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f168,f311]) ).

fof(f355,plain,
    ( ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | spl13_11
    | ~ spl13_17 ),
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f354,plain,
    ( $false
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | spl13_11
    | ~ spl13_17 ),
    inference(subsumption_resolution,[],[f353,f311]) ).

fof(f353,plain,
    ( identity != sk_c8
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | spl13_11
    | ~ spl13_17 ),
    inference(forward_demodulation,[],[f309,f347]) ).

fof(f347,plain,
    ( identity = sF1
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f312,f346]) ).

fof(f312,plain,
    ( inverse(identity) = sF1
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f49,f311]) ).

fof(f309,plain,
    ( sk_c8 != sF1
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5
    | ~ spl13_8
    | ~ spl13_10
    | spl13_11
    | ~ spl13_17 ),
    inference(backward_demodulation,[],[f154,f307]) ).

fof(f154,plain,
    ( sk_c7 != sF1
    | spl13_11 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f210,plain,
    ( spl13_8
    | spl13_1 ),
    inference(avatar_split_clause,[],[f75,f105,f138]) ).

fof(f75,plain,
    ( sk_c7 = sF6
    | sk_c3 = sF4 ),
    inference(definition_folding,[],[f37,f54,f57]) ).

fof(f37,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f209,plain,
    ( spl13_2
    | spl13_7 ),
    inference(avatar_split_clause,[],[f53,f133,f109]) ).

fof(f53,plain,
    ( sk_c8 = sF3
    | sk_c9 = sF2 ),
    inference(definition_folding,[],[f43,f52,f51]) ).

fof(f43,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

fof(f208,plain,
    ( spl13_12
    | spl13_10 ),
    inference(avatar_split_clause,[],[f97,f147,f162]) ).

fof(f97,plain,
    ( sk_c8 = sF5
    | sk_c9 = sF8 ),
    inference(definition_folding,[],[f28,f56,f62]) ).

fof(f28,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f207,plain,
    ( spl13_17
    | spl13_7 ),
    inference(avatar_split_clause,[],[f80,f133,f181]) ).

fof(f80,plain,
    ( sk_c8 = sF3
    | sk_c9 = sF9 ),
    inference(definition_folding,[],[f15,f63,f52]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f206,plain,
    ( spl13_10
    | spl13_4 ),
    inference(avatar_split_clause,[],[f72,f119,f147]) ).

fof(f72,plain,
    ( sk_c9 = sF11
    | sk_c8 = sF5 ),
    inference(definition_folding,[],[f31,f56,f71]) ).

fof(f31,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f205,plain,
    ( spl13_11
    | spl13_2 ),
    inference(avatar_split_clause,[],[f73,f109,f153]) ).

fof(f73,plain,
    ( sk_c9 = sF2
    | sk_c7 = sF1 ),
    inference(definition_folding,[],[f39,f49,f51]) ).

fof(f39,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f204,plain,
    ( spl13_2
    | spl13_12 ),
    inference(avatar_split_clause,[],[f87,f162,f109]) ).

fof(f87,plain,
    ( sk_c9 = sF8
    | sk_c9 = sF2 ),
    inference(definition_folding,[],[f42,f62,f51]) ).

fof(f42,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).

fof(f203,plain,
    ( spl13_8
    | spl13_4 ),
    inference(avatar_split_clause,[],[f90,f119,f138]) ).

fof(f90,plain,
    ( sk_c9 = sF11
    | sk_c3 = sF4 ),
    inference(definition_folding,[],[f38,f54,f71]) ).

fof(f38,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f202,plain,
    ( spl13_6
    | spl13_17 ),
    inference(avatar_split_clause,[],[f86,f181,f128]) ).

fof(f86,plain,
    ( sk_c9 = sF9
    | sk_c8 = sF12 ),
    inference(definition_folding,[],[f13,f63,f77]) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f201,plain,
    ( spl13_1
    | spl13_5 ),
    inference(avatar_split_clause,[],[f67,f124,f105]) ).

fof(f67,plain,
    ( sk_c7 = sF10
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f9,f66,f57]) ).

fof(f9,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f200,plain,
    ( spl13_9
    | spl13_5 ),
    inference(avatar_split_clause,[],[f100,f124,f142]) ).

fof(f100,plain,
    ( sk_c7 = sF10
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f5,f66,f60]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f199,plain,
    ( spl13_17
    | spl13_4 ),
    inference(avatar_split_clause,[],[f85,f119,f181]) ).

fof(f85,plain,
    ( sk_c9 = sF11
    | sk_c9 = sF9 ),
    inference(definition_folding,[],[f17,f63,f71]) ).

fof(f17,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f198,plain,
    ( spl13_10
    | spl13_11 ),
    inference(avatar_split_clause,[],[f68,f153,f147]) ).

fof(f68,plain,
    ( sk_c7 = sF1
    | sk_c8 = sF5 ),
    inference(definition_folding,[],[f25,f49,f56]) ).

fof(f25,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c7 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f197,plain,
    ( spl13_6
    | spl13_8 ),
    inference(avatar_split_clause,[],[f99,f138,f128]) ).

fof(f99,plain,
    ( sk_c3 = sF4
    | sk_c8 = sF12 ),
    inference(definition_folding,[],[f34,f54,f77]) ).

fof(f34,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f196,plain,
    ( spl13_5
    | spl13_11 ),
    inference(avatar_split_clause,[],[f101,f153,f124]) ).

fof(f101,plain,
    ( sk_c7 = sF1
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f4,f66,f49]) ).

fof(f4,axiom,
    ( sk_c7 = inverse(sk_c8)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f195,plain,
    ( spl13_8
    | spl13_7 ),
    inference(avatar_split_clause,[],[f55,f133,f138]) ).

fof(f55,plain,
    ( sk_c8 = sF3
    | sk_c3 = sF4 ),
    inference(definition_folding,[],[f36,f52,f54]) ).

fof(f36,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f194,plain,
    ( spl13_12
    | spl13_17 ),
    inference(avatar_split_clause,[],[f64,f181,f162]) ).

fof(f64,plain,
    ( sk_c9 = sF9
    | sk_c9 = sF8 ),
    inference(definition_folding,[],[f14,f63,f62]) ).

fof(f14,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f193,plain,
    ( spl13_6
    | spl13_10 ),
    inference(avatar_split_clause,[],[f98,f147,f128]) ).

fof(f98,plain,
    ( sk_c8 = sF5
    | sk_c8 = sF12 ),
    inference(definition_folding,[],[f27,f77,f56]) ).

fof(f27,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f192,plain,
    ( spl13_8
    | spl13_12 ),
    inference(avatar_split_clause,[],[f70,f162,f138]) ).

fof(f70,plain,
    ( sk_c9 = sF8
    | sk_c3 = sF4 ),
    inference(definition_folding,[],[f35,f62,f54]) ).

fof(f35,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f191,plain,
    ( spl13_3
    | spl13_9 ),
    inference(avatar_split_clause,[],[f92,f142,f114]) ).

fof(f92,plain,
    ( sk_c7 = sF7
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f19,f48,f60]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f190,plain,
    ( spl13_7
    | spl13_5 ),
    inference(avatar_split_clause,[],[f95,f124,f133]) ).

fof(f95,plain,
    ( sk_c7 = sF10
    | sk_c8 = sF3 ),
    inference(definition_folding,[],[f8,f66,f52]) ).

fof(f8,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f189,plain,
    ( spl13_17
    | spl13_11 ),
    inference(avatar_split_clause,[],[f65,f153,f181]) ).

fof(f65,plain,
    ( sk_c7 = sF1
    | sk_c9 = sF9 ),
    inference(definition_folding,[],[f11,f49,f63]) ).

fof(f11,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c7 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f188,plain,
    ( spl13_2
    | spl13_6 ),
    inference(avatar_split_clause,[],[f89,f128,f109]) ).

fof(f89,plain,
    ( sk_c8 = sF12
    | sk_c9 = sF2 ),
    inference(definition_folding,[],[f41,f77,f51]) ).

fof(f41,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).

fof(f187,plain,
    ( spl13_1
    | spl13_17 ),
    inference(avatar_split_clause,[],[f94,f181,f105]) ).

fof(f94,plain,
    ( sk_c9 = sF9
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f16,f63,f57]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f186,plain,
    ( spl13_4
    | spl13_5 ),
    inference(avatar_split_clause,[],[f83,f124,f119]) ).

fof(f83,plain,
    ( sk_c7 = sF10
    | sk_c9 = sF11 ),
    inference(definition_folding,[],[f10,f71,f66]) ).

fof(f10,axiom,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | sk_c9 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f185,plain,
    ( spl13_11
    | spl13_8 ),
    inference(avatar_split_clause,[],[f102,f138,f153]) ).

fof(f102,plain,
    ( sk_c3 = sF4
    | sk_c7 = sF1 ),
    inference(definition_folding,[],[f32,f49,f54]) ).

fof(f32,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c7 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f184,plain,
    ( spl13_17
    | spl13_9 ),
    inference(avatar_split_clause,[],[f93,f142,f181]) ).

fof(f93,plain,
    ( sk_c7 = sF7
    | sk_c9 = sF9 ),
    inference(definition_folding,[],[f12,f60,f63]) ).

fof(f12,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f179,plain,
    ( spl13_12
    | spl13_5 ),
    inference(avatar_split_clause,[],[f96,f124,f162]) ).

fof(f96,plain,
    ( sk_c7 = sF10
    | sk_c9 = sF8 ),
    inference(definition_folding,[],[f7,f62,f66]) ).

fof(f7,axiom,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f178,plain,
    ( spl13_13
    | spl13_14
    | spl13_14
    | ~ spl13_5
    | spl13_15
    | ~ spl13_11
    | spl13_16 ),
    inference(avatar_split_clause,[],[f74,f176,f153,f173,f124,f170,f170,f167]) ).

fof(f74,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sk_c7 != multiply(X8,sk_c9)
      | sk_c7 != sF1
      | sk_c9 != inverse(X5)
      | sk_c9 != inverse(X8)
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c7 != sF10
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X6,sk_c8)
      | sk_c8 != inverse(X7)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c8 != inverse(X6) ),
    inference(definition_folding,[],[f47,f49,f66]) ).

fof(f47,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c8 != inverse(X6)
      | sk_c9 != inverse(X8)
      | sk_c8 != inverse(X3)
      | multiply(sk_c8,sk_c9) != sk_c7
      | sk_c7 != multiply(X6,sk_c8)
      | sk_c8 != inverse(X7)
      | sk_c9 != inverse(X5)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c7 != multiply(X8,sk_c9)
      | sk_c7 != inverse(sk_c8)
      | sk_c9 != multiply(X7,sk_c8) ),
    inference(equality_resolution,[],[f46]) ).

fof(f46,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( multiply(X5,sk_c9) != X4
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c8 != inverse(X6)
      | sk_c9 != inverse(X8)
      | sk_c8 != inverse(X3)
      | multiply(sk_c8,sk_c9) != sk_c7
      | sk_c7 != multiply(X6,sk_c8)
      | sk_c8 != inverse(X7)
      | sk_c9 != inverse(X5)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c7 != multiply(X8,sk_c9)
      | sk_c7 != inverse(sk_c8)
      | sk_c9 != multiply(X7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).

fof(f165,plain,
    ( spl13_3
    | spl13_12 ),
    inference(avatar_split_clause,[],[f84,f162,f114]) ).

fof(f84,plain,
    ( sk_c9 = sF8
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f21,f62,f48]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f160,plain,
    ( spl13_2
    | spl13_4 ),
    inference(avatar_split_clause,[],[f103,f119,f109]) ).

fof(f103,plain,
    ( sk_c9 = sF11
    | sk_c9 = sF2 ),
    inference(definition_folding,[],[f45,f51,f71]) ).

fof(f45,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f159,plain,
    ( spl13_9
    | spl13_2 ),
    inference(avatar_split_clause,[],[f69,f109,f142]) ).

fof(f69,plain,
    ( sk_c9 = sF2
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f40,f60,f51]) ).

fof(f40,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f158,plain,
    ( spl13_3
    | spl13_6 ),
    inference(avatar_split_clause,[],[f79,f128,f114]) ).

fof(f79,plain,
    ( sk_c8 = sF12
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f20,f77,f48]) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f157,plain,
    ( spl13_9
    | spl13_10 ),
    inference(avatar_split_clause,[],[f61,f147,f142]) ).

fof(f61,plain,
    ( sk_c8 = sF5
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f26,f60,f56]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f156,plain,
    ( spl13_3
    | spl13_11 ),
    inference(avatar_split_clause,[],[f50,f153,f114]) ).

fof(f50,plain,
    ( sk_c7 = sF1
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f18,f49,f48]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f151,plain,
    ( spl13_10
    | spl13_7 ),
    inference(avatar_split_clause,[],[f76,f133,f147]) ).

fof(f76,plain,
    ( sk_c8 = sF3
    | sk_c8 = sF5 ),
    inference(definition_folding,[],[f29,f56,f52]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f150,plain,
    ( spl13_1
    | spl13_10 ),
    inference(avatar_split_clause,[],[f58,f147,f105]) ).

fof(f58,plain,
    ( sk_c8 = sF5
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f30,f57,f56]) ).

fof(f30,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c7 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f145,plain,
    ( spl13_8
    | spl13_9 ),
    inference(avatar_split_clause,[],[f81,f142,f138]) ).

fof(f81,plain,
    ( sk_c7 = sF7
    | sk_c3 = sF4 ),
    inference(definition_folding,[],[f33,f54,f60]) ).

fof(f33,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f136,plain,
    ( spl13_3
    | spl13_7 ),
    inference(avatar_split_clause,[],[f59,f133,f114]) ).

fof(f59,plain,
    ( sk_c8 = sF3
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f22,f48,f52]) ).

fof(f22,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f131,plain,
    ( spl13_5
    | spl13_6 ),
    inference(avatar_split_clause,[],[f78,f128,f124]) ).

fof(f78,plain,
    ( sk_c8 = sF12
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f6,f66,f77]) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f122,plain,
    ( spl13_4
    | spl13_3 ),
    inference(avatar_split_clause,[],[f88,f114,f119]) ).

fof(f88,plain,
    ( sk_c8 = sF0
    | sk_c9 = sF11 ),
    inference(definition_folding,[],[f24,f71,f48]) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c9 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f117,plain,
    ( spl13_1
    | spl13_3 ),
    inference(avatar_split_clause,[],[f82,f114,f105]) ).

fof(f82,plain,
    ( sk_c8 = sF0
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f23,f57,f48]) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f112,plain,
    ( spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f91,f109,f105]) ).

fof(f91,plain,
    ( sk_c9 = sF2
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f44,f51,f57]) ).

fof(f44,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP329-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:38:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (16685)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)
% 0.20/0.49  % (16697)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)
% 0.20/0.49  % (16689)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)
% 0.20/0.49  % (16700)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)
% 0.20/0.49  % (16697)Refutation not found, incomplete strategy% (16697)------------------------------
% 0.20/0.49  % (16697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (16689)Instruction limit reached!
% 0.20/0.49  % (16689)------------------------------
% 0.20/0.49  % (16689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (16697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (16697)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (16697)Memory used [KB]: 5884
% 0.20/0.49  % (16697)Time elapsed: 0.106 s
% 0.20/0.49  % (16697)Instructions burned: 4 (million)
% 0.20/0.50  % (16697)------------------------------
% 0.20/0.50  % (16697)------------------------------
% 0.20/0.51  % (16685)Instruction limit reached!
% 0.20/0.51  % (16685)------------------------------
% 0.20/0.51  % (16685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (16689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (16689)Termination reason: Unknown
% 0.20/0.51  % (16689)Termination phase: Finite model building preprocessing
% 0.20/0.51  
% 0.20/0.51  % (16689)Memory used [KB]: 6012
% 0.20/0.51  % (16689)Time elapsed: 0.005 s
% 0.20/0.51  % (16689)Instructions burned: 8 (million)
% 0.20/0.51  % (16689)------------------------------
% 0.20/0.51  % (16689)------------------------------
% 0.20/0.51  % (16685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (16685)Termination reason: Unknown
% 0.20/0.51  % (16685)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (16685)Memory used [KB]: 6268
% 0.20/0.51  % (16685)Time elapsed: 0.116 s
% 0.20/0.51  % (16685)Instructions burned: 24 (million)
% 0.20/0.51  % (16685)------------------------------
% 0.20/0.51  % (16685)------------------------------
% 0.20/0.51  % (16680)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)
% 0.20/0.52  % (16702)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)
% 0.20/0.52  % (16679)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (16688)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)
% 0.20/0.53  % (16687)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)
% 0.20/0.53  % (16687)Instruction limit reached!
% 0.20/0.53  % (16687)------------------------------
% 0.20/0.53  % (16687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (16687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (16687)Termination reason: Unknown
% 0.20/0.53  % (16687)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (16687)Memory used [KB]: 1279
% 0.20/0.53  % (16687)Time elapsed: 0.002 s
% 0.20/0.53  % (16687)Instructions burned: 3 (million)
% 0.20/0.53  % (16687)------------------------------
% 0.20/0.53  % (16687)------------------------------
% 0.20/0.53  % (16702)Refutation not found, incomplete strategy% (16702)------------------------------
% 0.20/0.53  % (16702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (16675)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)
% 0.20/0.53  % (16695)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)
% 0.20/0.53  % (16702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (16702)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (16702)Memory used [KB]: 5884
% 0.20/0.53  % (16702)Time elapsed: 0.082 s
% 0.20/0.53  % (16702)Instructions burned: 3 (million)
% 0.20/0.53  % (16702)------------------------------
% 0.20/0.53  % (16702)------------------------------
% 0.20/0.53  % (16678)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)
% 0.20/0.54  % (16684)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)
% 0.20/0.54  % (16699)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)
% 0.20/0.54  % (16683)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)
% 0.20/0.54  % (16676)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)
% 0.20/0.54  % (16684)Instruction limit reached!
% 0.20/0.54  % (16684)------------------------------
% 0.20/0.54  % (16684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (16684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (16684)Termination reason: Unknown
% 0.20/0.54  % (16684)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (16684)Memory used [KB]: 5884
% 0.20/0.54  % (16684)Time elapsed: 0.121 s
% 0.20/0.54  % (16684)Instructions burned: 6 (million)
% 0.20/0.54  % (16684)------------------------------
% 0.20/0.54  % (16684)------------------------------
% 0.20/0.54  % (16698)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)
% 0.20/0.54  % (16676)Instruction limit reached!
% 0.20/0.54  % (16676)------------------------------
% 0.20/0.54  % (16676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (16676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (16676)Termination reason: Unknown
% 0.20/0.54  % (16676)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (16676)Memory used [KB]: 5884
% 0.20/0.54  % (16676)Time elapsed: 0.004 s
% 0.20/0.54  % (16676)Instructions burned: 5 (million)
% 0.20/0.54  % (16676)------------------------------
% 0.20/0.54  % (16676)------------------------------
% 0.20/0.54  % (16694)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)
% 0.20/0.54  % (16696)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)
% 0.20/0.54  % (16691)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54  % (16674)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54  % (16682)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)
% 0.20/0.54  % (16682)Instruction limit reached!
% 0.20/0.54  % (16682)------------------------------
% 0.20/0.54  % (16682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (16677)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)
% 0.20/0.55  % (16682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (16682)Termination reason: Unknown
% 0.20/0.55  % (16682)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (16682)Memory used [KB]: 1279
% 0.20/0.55  % (16682)Time elapsed: 0.003 s
% 0.20/0.55  % (16682)Instructions burned: 3 (million)
% 0.20/0.55  % (16682)------------------------------
% 0.20/0.55  % (16682)------------------------------
% 0.20/0.55  % (16690)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)
% 0.20/0.55  % (16677)Refutation not found, incomplete strategy% (16677)------------------------------
% 0.20/0.55  % (16677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (16677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (16677)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (16677)Memory used [KB]: 5884
% 0.20/0.55  % (16677)Time elapsed: 0.133 s
% 0.20/0.55  % (16677)Instructions burned: 4 (million)
% 0.20/0.55  % (16677)------------------------------
% 0.20/0.55  % (16677)------------------------------
% 0.20/0.55  % (16691)Instruction limit reached!
% 0.20/0.55  % (16691)------------------------------
% 0.20/0.55  % (16691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (16691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (16691)Termination reason: Unknown
% 0.20/0.55  % (16691)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (16691)Memory used [KB]: 6012
% 0.20/0.55  % (16691)Time elapsed: 0.138 s
% 0.20/0.55  % (16691)Instructions burned: 8 (million)
% 0.20/0.55  % (16691)------------------------------
% 0.20/0.55  % (16691)------------------------------
% 0.20/0.55  % (16693)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)
% 0.20/0.55  % (16688)Instruction limit reached!
% 0.20/0.55  % (16688)------------------------------
% 0.20/0.55  % (16688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (16681)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)
% 0.20/0.55  % (16692)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)
% 0.20/0.55  % (16693)Instruction limit reached!
% 0.20/0.55  % (16693)------------------------------
% 0.20/0.55  % (16693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (16693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (16693)Termination reason: Unknown
% 0.20/0.55  % (16693)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (16693)Memory used [KB]: 6012
% 0.20/0.55  % (16693)Time elapsed: 0.139 s
% 0.20/0.55  % (16693)Instructions burned: 8 (million)
% 0.20/0.55  % (16693)------------------------------
% 0.20/0.55  % (16693)------------------------------
% 0.20/0.55  % (16686)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)
% 0.20/0.55  % (16681)Refutation not found, incomplete strategy% (16681)------------------------------
% 0.20/0.55  % (16681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (16681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (16681)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (16681)Memory used [KB]: 5884
% 0.20/0.55  % (16681)Time elapsed: 0.148 s
% 0.20/0.55  % (16681)Instructions burned: 4 (million)
% 0.20/0.55  % (16681)------------------------------
% 0.20/0.55  % (16681)------------------------------
% 0.20/0.55  % (16686)Instruction limit reached!
% 0.20/0.55  % (16686)------------------------------
% 0.20/0.55  % (16686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (16686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (16686)Termination reason: Unknown
% 0.20/0.55  % (16686)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (16686)Memory used [KB]: 5884
% 0.20/0.55  % (16686)Time elapsed: 0.148 s
% 0.20/0.55  % (16686)Instructions burned: 5 (million)
% 0.20/0.55  % (16686)------------------------------
% 0.20/0.55  % (16686)------------------------------
% 0.20/0.56  % (16703)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)
% 0.20/0.56  % (16701)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)
% 0.20/0.56  % (16694)Instruction limit reached!
% 0.20/0.56  % (16694)------------------------------
% 0.20/0.56  % (16694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (16694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (16694)Termination reason: Unknown
% 0.20/0.56  % (16694)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (16694)Memory used [KB]: 1407
% 0.20/0.56  % (16694)Time elapsed: 0.156 s
% 0.20/0.56  % (16694)Instructions burned: 8 (million)
% 0.20/0.56  % (16694)------------------------------
% 0.20/0.56  % (16694)------------------------------
% 0.20/0.56  % (16688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (16688)Termination reason: Unknown
% 0.20/0.56  % (16688)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (16688)Memory used [KB]: 1663
% 0.20/0.56  % (16688)Time elapsed: 0.097 s
% 0.20/0.56  % (16688)Instructions burned: 30 (million)
% 0.20/0.56  % (16688)------------------------------
% 0.20/0.56  % (16688)------------------------------
% 0.20/0.57  % (16699)Refutation not found, incomplete strategy% (16699)------------------------------
% 0.20/0.57  % (16699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (16699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (16699)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (16699)Memory used [KB]: 6140
% 0.20/0.57  % (16699)Time elapsed: 0.161 s
% 0.20/0.57  % (16699)Instructions burned: 16 (million)
% 0.20/0.57  % (16699)------------------------------
% 0.20/0.57  % (16699)------------------------------
% 0.20/0.57  % (16690)Instruction limit reached!
% 0.20/0.57  % (16690)------------------------------
% 0.20/0.57  % (16690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (16690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (16690)Termination reason: Unknown
% 0.20/0.57  % (16690)Termination phase: Property scanning
% 0.20/0.57  
% 0.20/0.57  % (16690)Memory used [KB]: 1279
% 0.20/0.57  % (16690)Time elapsed: 0.002 s
% 0.20/0.57  % (16690)Instructions burned: 2 (million)
% 0.20/0.57  % (16690)------------------------------
% 0.20/0.57  % (16690)------------------------------
% 0.20/0.57  % (16680)Instruction limit reached!
% 0.20/0.57  % (16680)------------------------------
% 0.20/0.57  % (16680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (16680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (16680)Termination reason: Unknown
% 0.20/0.57  % (16680)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (16680)Memory used [KB]: 1535
% 0.20/0.57  % (16680)Time elapsed: 0.108 s
% 0.20/0.57  % (16680)Instructions burned: 50 (million)
% 0.20/0.57  % (16680)------------------------------
% 0.20/0.57  % (16680)------------------------------
% 0.20/0.57  % (16696)Refutation not found, incomplete strategy% (16696)------------------------------
% 0.20/0.57  % (16696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (16696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (16696)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (16696)Memory used [KB]: 6012
% 0.20/0.57  % (16696)Time elapsed: 0.124 s
% 0.20/0.57  % (16696)Instructions burned: 17 (million)
% 0.20/0.57  % (16696)------------------------------
% 0.20/0.57  % (16696)------------------------------
% 0.20/0.57  % (16679)Instruction limit reached!
% 0.20/0.57  % (16679)------------------------------
% 0.20/0.57  % (16679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (16679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (16679)Termination reason: Unknown
% 0.20/0.57  % (16679)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (16679)Memory used [KB]: 6140
% 0.20/0.57  % (16679)Time elapsed: 0.147 s
% 0.20/0.57  % (16679)Instructions burned: 26 (million)
% 0.20/0.57  % (16679)------------------------------
% 0.20/0.57  % (16679)------------------------------
% 0.20/0.57  % (16700)Refutation not found, non-redundant clauses discarded% (16700)------------------------------
% 0.20/0.57  % (16700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (16700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (16700)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.20/0.57  
% 0.20/0.57  % (16700)Memory used [KB]: 7291
% 0.20/0.57  % (16700)Time elapsed: 0.186 s
% 0.20/0.57  % (16700)Instructions burned: 70 (million)
% 0.20/0.57  % (16700)------------------------------
% 0.20/0.57  % (16700)------------------------------
% 0.20/0.58  % (16678)Instruction limit reached!
% 0.20/0.58  % (16678)------------------------------
% 0.20/0.58  % (16678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (16678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (16678)Termination reason: Unknown
% 0.20/0.58  % (16678)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (16678)Memory used [KB]: 6524
% 0.20/0.58  % (16678)Time elapsed: 0.165 s
% 0.20/0.58  % (16678)Instructions burned: 34 (million)
% 0.20/0.58  % (16678)------------------------------
% 0.20/0.58  % (16678)------------------------------
% 1.86/0.61  % (16692)Refutation not found, incomplete strategy% (16692)------------------------------
% 1.86/0.61  % (16692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61  % (16692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61  % (16692)Termination reason: Refutation not found, incomplete strategy
% 1.86/0.61  
% 1.86/0.61  % (16692)Memory used [KB]: 10746
% 1.86/0.61  % (16692)Time elapsed: 0.182 s
% 1.86/0.61  % (16692)Instructions burned: 23 (million)
% 1.86/0.61  % (16692)------------------------------
% 1.86/0.61  % (16692)------------------------------
% 1.86/0.61  % (16744)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)
% 1.86/0.62  % (16698)Instruction limit reached!
% 1.86/0.62  % (16698)------------------------------
% 1.86/0.62  % (16698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.62  % (16675)Instruction limit reached!
% 1.86/0.62  % (16675)------------------------------
% 1.86/0.62  % (16675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.62  % (16675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.62  % (16675)Termination reason: Unknown
% 1.86/0.62  % (16675)Termination phase: Saturation
% 1.86/0.62  
% 1.86/0.62  % (16675)Memory used [KB]: 1663
% 1.86/0.62  % (16675)Time elapsed: 0.205 s
% 1.86/0.62  % (16675)Instructions burned: 42 (million)
% 1.86/0.62  % (16675)------------------------------
% 1.86/0.62  % (16675)------------------------------
% 2.03/0.62  % (16749)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 2.03/0.62  % (16751)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)
% 2.03/0.63  % (16683)Instruction limit reached!
% 2.03/0.63  % (16683)------------------------------
% 2.03/0.63  % (16683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63  % (16683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (16683)Termination reason: Unknown
% 2.03/0.63  % (16683)Termination phase: Saturation
% 2.03/0.63  
% 2.03/0.63  % (16683)Memory used [KB]: 6908
% 2.03/0.63  % (16683)Time elapsed: 0.212 s
% 2.03/0.63  % (16683)Instructions burned: 52 (million)
% 2.03/0.63  % (16683)------------------------------
% 2.03/0.63  % (16683)------------------------------
% 2.03/0.63  % (16751)Instruction limit reached!
% 2.03/0.63  % (16751)------------------------------
% 2.03/0.63  % (16751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63  % (16751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (16751)Termination reason: Unknown
% 2.03/0.63  % (16751)Termination phase: Saturation
% 2.03/0.63  
% 2.03/0.63  % (16751)Memory used [KB]: 5884
% 2.03/0.63  % (16751)Time elapsed: 0.003 s
% 2.03/0.63  % (16751)Instructions burned: 3 (million)
% 2.03/0.63  % (16751)------------------------------
% 2.03/0.63  % (16751)------------------------------
% 2.03/0.63  % (16698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (16698)Termination reason: Unknown
% 2.03/0.63  % (16698)Termination phase: Saturation
% 2.03/0.63  % (16744)Instruction limit reached!
% 2.03/0.63  % (16744)------------------------------
% 2.03/0.63  % (16744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63  % (16744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (16744)Termination reason: Unknown
% 2.03/0.63  % (16744)Termination phase: Saturation
% 2.03/0.63  
% 2.03/0.63  % (16744)Memory used [KB]: 6140
% 2.03/0.63  % (16744)Time elapsed: 0.107 s
% 2.03/0.63  % (16744)Instructions burned: 15 (million)
% 2.03/0.63  % (16744)------------------------------
% 2.03/0.63  % (16744)------------------------------
% 2.03/0.63  
% 2.03/0.63  % (16698)Memory used [KB]: 6780
% 2.03/0.63  % (16698)Time elapsed: 0.197 s
% 2.03/0.63  % (16698)Instructions burned: 47 (million)
% 2.03/0.63  % (16698)------------------------------
% 2.03/0.63  % (16698)------------------------------
% 2.03/0.64  % (16764)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)
% 2.03/0.64  % (16695)Instruction limit reached!
% 2.03/0.64  % (16695)------------------------------
% 2.03/0.64  % (16695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.64  % (16695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.64  % (16695)Termination reason: Unknown
% 2.03/0.64  % (16695)Termination phase: Saturation
% 2.03/0.64  
% 2.03/0.64  % (16695)Memory used [KB]: 6908
% 2.03/0.64  % (16695)Time elapsed: 0.233 s
% 2.03/0.64  % (16695)Instructions burned: 69 (million)
% 2.03/0.64  % (16695)------------------------------
% 2.03/0.64  % (16695)------------------------------
% 2.25/0.65  % (16674)First to succeed.
% 2.25/0.66  % (16701)Instruction limit reached!
% 2.25/0.66  % (16701)------------------------------
% 2.25/0.66  % (16701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.66  % (16701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.66  % (16701)Termination reason: Unknown
% 2.25/0.66  % (16701)Termination phase: Saturation
% 2.25/0.66  
% 2.25/0.66  % (16701)Memory used [KB]: 1918
% 2.25/0.66  % (16701)Time elapsed: 0.259 s
% 2.25/0.66  % (16701)Instructions burned: 74 (million)
% 2.25/0.66  % (16701)------------------------------
% 2.25/0.66  % (16701)------------------------------
% 2.25/0.67  % (16766)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 2.25/0.67  % (16767)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 2.25/0.67  % (16788)lrs+1011_1:1_ep=RS:flr=on:nm=2:sos=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/109Mi)
% 2.25/0.67  % (16771)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.25/0.67  % (16674)Refutation found. Thanks to Tanya!
% 2.25/0.67  % SZS status Unsatisfiable for theBenchmark
% 2.25/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.25/0.68  % (16674)------------------------------
% 2.25/0.68  % (16674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.68  % (16674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.68  % (16674)Termination reason: Refutation
% 2.25/0.68  
% 2.25/0.68  % (16674)Memory used [KB]: 6908
% 2.25/0.68  % (16674)Time elapsed: 0.245 s
% 2.25/0.68  % (16674)Instructions burned: 66 (million)
% 2.25/0.68  % (16674)------------------------------
% 2.25/0.68  % (16674)------------------------------
% 2.25/0.68  % (16673)Success in time 0.318 s
%------------------------------------------------------------------------------