TSTP Solution File: GRP242-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP242-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : 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 : Mon May 20 21:07:44 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   90
% Syntax   : Number of formulae    :  337 (   4 unt;   0 def)
%            Number of atoms       : 1131 ( 402 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives : 1490 ( 696   ~; 763   |;   0   &)
%                                         (  31 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   33 (  31 usr;  32 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :   72 (  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1140,plain,
    $false,
    inference(avatar_sat_refutation,[],[f80,f85,f90,f95,f100,f106,f107,f108,f109,f110,f115,f117,f118,f119,f120,f125,f127,f128,f129,f130,f135,f136,f137,f138,f139,f140,f145,f146,f147,f148,f149,f150,f156,f157,f158,f159,f160,f165,f166,f167,f168,f169,f170,f175,f176,f177,f178,f179,f180,f185,f186,f187,f188,f189,f190,f207,f219,f254,f257,f268,f284,f338,f381,f391,f405,f415,f418,f466,f470,f476,f509,f516,f523,f636,f637,f638,f639,f777,f1064,f1067,f1074,f1139]) ).

fof(f1139,plain,
    ( ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1138,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f1137]) ).

fof(f1137,plain,
    ( sk_c11 != sk_c11
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(superposition,[],[f1105,f772]) ).

fof(f772,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f761,f695]) ).

fof(f695,plain,
    ( sk_c11 = sk_c6
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(superposition,[],[f645,f547]) ).

fof(f547,plain,
    ( sk_c6 = multiply(sk_c6,sk_c11)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f537,f134]) ).

fof(f134,plain,
    ( sk_c11 = multiply(sk_c3,sk_c6)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl0_11
  <=> sk_c11 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f537,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f536,f1]) ).

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

fof(f536,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f493]) ).

fof(f493,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_12 ),
    inference(superposition,[],[f2,f144]) ).

fof(f144,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl0_12
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

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

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(f645,plain,
    ( sk_c11 = multiply(sk_c6,sk_c11)
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(superposition,[],[f154,f266]) ).

fof(f266,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl0_31
  <=> sk_c11 = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f154,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl0_13
  <=> sk_c11 = multiply(sk_c6,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f761,plain,
    ( sk_c6 = inverse(sk_c11)
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(superposition,[],[f174,f728]) ).

fof(f728,plain,
    ( sk_c11 = sk_c4
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f710,f606]) ).

fof(f606,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f605,f592]) ).

fof(f592,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f539,f556]) ).

fof(f556,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,X0)
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f541,f539]) ).

fof(f541,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f540,f1]) ).

fof(f540,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f497]) ).

fof(f497,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_15 ),
    inference(superposition,[],[f2,f174]) ).

fof(f539,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f538,f1]) ).

fof(f538,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f495]) ).

fof(f495,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_14 ),
    inference(superposition,[],[f2,f164]) ).

fof(f164,plain,
    ( inverse(sk_c5) = sk_c4
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl0_14
  <=> inverse(sk_c5) = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f605,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f597]) ).

fof(f597,plain,
    ( sk_c11 = multiply(sk_c4,sk_c6)
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f592,f547]) ).

fof(f710,plain,
    ( sk_c4 = multiply(sk_c11,sk_c11)
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(superposition,[],[f557,f695]) ).

fof(f557,plain,
    ( sk_c4 = multiply(sk_c6,sk_c6)
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f541,f551]) ).

fof(f551,plain,
    ( sk_c6 = multiply(sk_c4,sk_c4)
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(superposition,[],[f539,f184]) ).

fof(f184,plain,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f182,plain,
    ( spl0_16
  <=> sk_c4 = multiply(sk_c5,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f174,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f172,plain,
    ( spl0_15
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1105,plain,
    ( sk_c11 != inverse(sk_c11)
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f1104,f738]) ).

fof(f738,plain,
    ( sk_c1 = sk_c11
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f731,f728]) ).

fof(f731,plain,
    ( sk_c1 = sk_c4
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(superposition,[],[f717,f623]) ).

fof(f623,plain,
    ( identity = sk_c1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f606,f489]) ).

fof(f489,plain,
    ( identity = multiply(sk_c11,sk_c1)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f104]) ).

fof(f104,plain,
    ( sk_c11 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl0_8
  <=> sk_c11 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f717,plain,
    ( identity = sk_c4
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f716,f613]) ).

fof(f613,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f601,f599]) ).

fof(f599,plain,
    ( sk_c3 = multiply(sk_c4,identity)
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f592,f493]) ).

fof(f601,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f592,f497]) ).

fof(f716,plain,
    ( identity = sk_c3
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f704,f606]) ).

fof(f704,plain,
    ( identity = multiply(sk_c11,sk_c3)
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(superposition,[],[f493,f695]) ).

fof(f1104,plain,
    ( sk_c11 != inverse(sk_c1)
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1103,f623]) ).

fof(f1103,plain,
    ( sk_c11 != inverse(identity)
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f1077]) ).

fof(f1077,plain,
    ( sk_c11 != sk_c11
    | sk_c11 != inverse(identity)
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(superposition,[],[f1076,f1]) ).

fof(f1076,plain,
    ( ! [X10] :
        ( sk_c11 != multiply(X10,sk_c11)
        | sk_c11 != inverse(X10) )
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f206,f217]) ).

fof(f217,plain,
    ( sk_c11 = sk_c9
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl0_23
  <=> sk_c11 = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f206,plain,
    ( ! [X10] :
        ( sk_c9 != multiply(X10,sk_c11)
        | sk_c11 != inverse(X10) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl0_21
  <=> ! [X10] :
        ( sk_c11 != inverse(X10)
        | sk_c9 != multiply(X10,sk_c11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1074,plain,
    ( ~ spl0_34
    | ~ spl0_23
    | spl0_32 ),
    inference(avatar_split_clause,[],[f1073,f277,f216,f347]) ).

fof(f347,plain,
    ( spl0_34
  <=> identity = sk_c11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f277,plain,
    ( spl0_32
  <=> identity = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1073,plain,
    ( identity != sk_c11
    | ~ spl0_23
    | spl0_32 ),
    inference(forward_demodulation,[],[f279,f217]) ).

fof(f279,plain,
    ( identity != sk_c9
    | spl0_32 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f1067,plain,
    ( ~ spl0_31
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_23
    | ~ spl0_31
    | spl0_33 ),
    inference(avatar_split_clause,[],[f1066,f281,f265,f216,f182,f172,f162,f152,f142,f132,f265]) ).

fof(f281,plain,
    ( spl0_33
  <=> sk_c10 = inverse(sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1066,plain,
    ( sk_c11 != sk_c10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_23
    | ~ spl0_31
    | spl0_33 ),
    inference(forward_demodulation,[],[f1065,f772]) ).

fof(f1065,plain,
    ( sk_c10 != inverse(sk_c11)
    | ~ spl0_23
    | spl0_33 ),
    inference(forward_demodulation,[],[f283,f217]) ).

fof(f283,plain,
    ( sk_c10 != inverse(sk_c9)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f1064,plain,
    ( ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1063]) ).

fof(f1063,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f1062]) ).

fof(f1062,plain,
    ( sk_c11 != sk_c11
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_31 ),
    inference(superposition,[],[f1030,f772]) ).

fof(f1030,plain,
    ( sk_c11 != inverse(sk_c11)
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f1029,f738]) ).

fof(f1029,plain,
    ( sk_c11 != inverse(sk_c1)
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_20
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f1028,f623]) ).

fof(f1028,plain,
    ( sk_c11 != inverse(identity)
    | ~ spl0_20
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f1002]) ).

fof(f1002,plain,
    ( sk_c11 != sk_c11
    | sk_c11 != inverse(identity)
    | ~ spl0_20
    | ~ spl0_31 ),
    inference(superposition,[],[f795,f1]) ).

fof(f795,plain,
    ( ! [X9] :
        ( sk_c11 != multiply(X9,sk_c11)
        | sk_c11 != inverse(X9) )
    | ~ spl0_20
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f794,f266]) ).

fof(f794,plain,
    ( ! [X9] :
        ( sk_c11 != multiply(X9,sk_c11)
        | sk_c10 != inverse(X9) )
    | ~ spl0_20
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f203,f266]) ).

fof(f203,plain,
    ( ! [X9] :
        ( sk_c11 != multiply(X9,sk_c10)
        | sk_c10 != inverse(X9) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl0_20
  <=> ! [X9] :
        ( sk_c10 != inverse(X9)
        | sk_c11 != multiply(X9,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f777,plain,
    ( spl0_34
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f776,f265,f182,f172,f162,f152,f142,f132,f347]) ).

fof(f776,plain,
    ( identity = sk_c11
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f775,f695]) ).

fof(f775,plain,
    ( identity = sk_c6
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f763,f547]) ).

fof(f763,plain,
    ( identity = multiply(sk_c6,sk_c11)
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(superposition,[],[f497,f728]) ).

fof(f639,plain,
    ( ~ spl0_31
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f568,f122,f112,f72,f265]) ).

fof(f72,plain,
    ( spl0_2
  <=> sk_c11 = multiply(sk_c10,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f112,plain,
    ( spl0_9
  <=> sk_c9 = multiply(sk_c2,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f122,plain,
    ( spl0_10
  <=> sk_c10 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f568,plain,
    ( sk_c11 != sk_c10
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f73,f563]) ).

fof(f563,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f543,f114]) ).

fof(f114,plain,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f543,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f542,f1]) ).

fof(f542,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f526]) ).

fof(f526,plain,
    ( identity = multiply(sk_c10,sk_c2)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f124]) ).

fof(f124,plain,
    ( sk_c10 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f73,plain,
    ( sk_c11 != multiply(sk_c10,sk_c9)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f638,plain,
    ( spl0_28
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f544,f102,f68,f245]) ).

fof(f245,plain,
    ( spl0_28
  <=> sk_c11 = multiply(sk_c11,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f68,plain,
    ( spl0_1
  <=> multiply(sk_c1,sk_c11) = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f544,plain,
    ( sk_c11 = multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f535,f70]) ).

fof(f70,plain,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f535,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f534,f1]) ).

fof(f534,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f489]) ).

fof(f637,plain,
    ( spl0_23
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f631,f172,f162,f142,f132,f97,f92,f216]) ).

fof(f92,plain,
    ( spl0_6
  <=> sk_c9 = multiply(sk_c8,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f97,plain,
    ( spl0_7
  <=> sk_c11 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f631,plain,
    ( sk_c11 = sk_c9
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f323,f606]) ).

fof(f323,plain,
    ( sk_c11 = multiply(sk_c11,sk_c9)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f316,f94]) ).

fof(f94,plain,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f316,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c8,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f306,f1]) ).

fof(f306,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c8,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f273]) ).

fof(f273,plain,
    ( identity = multiply(sk_c11,sk_c8)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f99]) ).

fof(f99,plain,
    ( sk_c11 = inverse(sk_c8)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f636,plain,
    ( spl0_31
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f630,f245,f172,f162,f142,f132,f265]) ).

fof(f630,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(superposition,[],[f246,f606]) ).

fof(f246,plain,
    ( sk_c11 = multiply(sk_c11,sk_c10)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f523,plain,
    ( spl0_31
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f522,f347,f102,f68,f265]) ).

fof(f522,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f521,f395]) ).

fof(f395,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl0_34 ),
    inference(superposition,[],[f1,f348]) ).

fof(f348,plain,
    ( identity = sk_c11
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f521,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f70,f491]) ).

fof(f491,plain,
    ( sk_c1 = sk_c11
    | ~ spl0_8
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f490,f348]) ).

fof(f490,plain,
    ( identity = sk_c1
    | ~ spl0_8
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f489,f395]) ).

fof(f516,plain,
    ( spl0_23
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f515,f347,f265,f122,f112,f216]) ).

fof(f515,plain,
    ( sk_c11 = sk_c9
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f510,f395]) ).

fof(f510,plain,
    ( sk_c9 = multiply(sk_c11,sk_c11)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f484,f501]) ).

fof(f501,plain,
    ( sk_c11 = sk_c2
    | ~ spl0_10
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f500,f348]) ).

fof(f500,plain,
    ( identity = sk_c2
    | ~ spl0_10
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f499,f395]) ).

fof(f499,plain,
    ( identity = multiply(sk_c11,sk_c2)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(superposition,[],[f2,f483]) ).

fof(f483,plain,
    ( sk_c11 = inverse(sk_c2)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f124,f266]) ).

fof(f484,plain,
    ( sk_c9 = multiply(sk_c2,sk_c11)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f114,f266]) ).

fof(f509,plain,
    ( ~ spl0_23
    | spl0_3
    | ~ spl0_8
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f508,f347,f265,f102,f77,f216]) ).

fof(f77,plain,
    ( spl0_3
  <=> sk_c9 = inverse(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f508,plain,
    ( sk_c11 != sk_c9
    | spl0_3
    | ~ spl0_8
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f486,f492]) ).

fof(f492,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl0_8
    | ~ spl0_34 ),
    inference(superposition,[],[f104,f491]) ).

fof(f486,plain,
    ( sk_c9 != inverse(sk_c11)
    | spl0_3
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f78,f266]) ).

fof(f78,plain,
    ( sk_c9 != inverse(sk_c10)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f476,plain,
    ( ~ spl0_3
    | ~ spl0_23
    | ~ spl0_31
    | spl0_37 ),
    inference(avatar_contradiction_clause,[],[f475]) ).

fof(f475,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_23
    | ~ spl0_31
    | spl0_37 ),
    inference(trivial_inequality_removal,[],[f474]) ).

fof(f474,plain,
    ( sk_c11 != sk_c11
    | ~ spl0_3
    | ~ spl0_23
    | ~ spl0_31
    | spl0_37 ),
    inference(superposition,[],[f471,f436]) ).

fof(f436,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl0_3
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f426,f217]) ).

fof(f426,plain,
    ( sk_c9 = inverse(sk_c11)
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(superposition,[],[f79,f266]) ).

fof(f79,plain,
    ( sk_c9 = inverse(sk_c10)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f471,plain,
    ( sk_c11 != inverse(sk_c11)
    | ~ spl0_23
    | spl0_37 ),
    inference(forward_demodulation,[],[f374,f217]) ).

fof(f374,plain,
    ( sk_c9 != inverse(sk_c9)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f372,plain,
    ( spl0_37
  <=> sk_c9 = inverse(sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f470,plain,
    ( ~ spl0_3
    | ~ spl0_23
    | ~ spl0_31
    | spl0_36 ),
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_23
    | ~ spl0_31
    | spl0_36 ),
    inference(trivial_inequality_removal,[],[f468]) ).

fof(f468,plain,
    ( sk_c11 != sk_c11
    | ~ spl0_3
    | ~ spl0_23
    | ~ spl0_31
    | spl0_36 ),
    inference(superposition,[],[f421,f436]) ).

fof(f421,plain,
    ( sk_c11 != inverse(sk_c11)
    | ~ spl0_23
    | spl0_36 ),
    inference(forward_demodulation,[],[f357,f217]) ).

fof(f357,plain,
    ( sk_c9 != inverse(sk_c11)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl0_36
  <=> sk_c9 = inverse(sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f466,plain,
    ( ~ spl0_3
    | ~ spl0_23
    | spl0_30
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f465]) ).

fof(f465,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_23
    | spl0_30
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(trivial_inequality_removal,[],[f463]) ).

fof(f463,plain,
    ( sk_c11 != sk_c11
    | ~ spl0_3
    | ~ spl0_23
    | spl0_30
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(superposition,[],[f394,f436]) ).

fof(f394,plain,
    ( sk_c11 != inverse(sk_c11)
    | spl0_30
    | ~ spl0_34 ),
    inference(superposition,[],[f263,f348]) ).

fof(f263,plain,
    ( sk_c11 != inverse(identity)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl0_30
  <=> sk_c11 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f418,plain,
    ( spl0_31
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f417,f347,f226,f216,f87,f82,f77,f72,f265]) ).

fof(f82,plain,
    ( spl0_4
  <=> sk_c11 = multiply(sk_c7,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f87,plain,
    ( spl0_5
  <=> sk_c10 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f226,plain,
    ( spl0_24
  <=> sk_c11 = multiply(sk_c9,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f417,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f416,f348]) ).

fof(f416,plain,
    ( identity = sk_c10
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_23
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f410,f392]) ).

fof(f392,plain,
    ( sk_c10 = multiply(sk_c11,sk_c10)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f388,f327]) ).

fof(f327,plain,
    ( sk_c10 = multiply(sk_c10,sk_c11)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f317,f84]) ).

fof(f84,plain,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f317,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f308,f1]) ).

fof(f308,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f272]) ).

fof(f272,plain,
    ( identity = multiply(sk_c10,sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f89]) ).

fof(f89,plain,
    ( sk_c10 = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f388,plain,
    ( multiply(sk_c11,sk_c10) = multiply(sk_c10,sk_c11)
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(superposition,[],[f307,f227]) ).

fof(f227,plain,
    ( sk_c11 = multiply(sk_c9,sk_c10)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f307,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = multiply(sk_c11,X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f74]) ).

fof(f74,plain,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f410,plain,
    ( identity = multiply(sk_c11,sk_c10)
    | ~ spl0_3
    | ~ spl0_23 ),
    inference(superposition,[],[f271,f217]) ).

fof(f271,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f79]) ).

fof(f415,plain,
    ( spl0_28
    | ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f409,f226,f216,f245]) ).

fof(f409,plain,
    ( sk_c11 = multiply(sk_c11,sk_c10)
    | ~ spl0_23
    | ~ spl0_24 ),
    inference(superposition,[],[f227,f217]) ).

fof(f405,plain,
    ( spl0_23
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f400,f226,f97,f92,f77,f216]) ).

fof(f400,plain,
    ( sk_c11 = sk_c9
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(superposition,[],[f323,f393]) ).

fof(f393,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f389,f318]) ).

fof(f318,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f309,f1]) ).

fof(f309,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c10,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f271]) ).

fof(f389,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c9,multiply(sk_c10,X0))
    | ~ spl0_24 ),
    inference(superposition,[],[f3,f227]) ).

fof(f391,plain,
    ( spl0_34
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f387,f226,f77,f347]) ).

fof(f387,plain,
    ( identity = sk_c11
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(superposition,[],[f271,f227]) ).

fof(f381,plain,
    ( ~ spl0_37
    | ~ spl0_36
    | ~ spl0_34
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f380,f199,f77,f72,f347,f355,f372]) ).

fof(f199,plain,
    ( spl0_19
  <=> ! [X5,X7] :
        ( inverse(X5) != inverse(inverse(X7))
        | sk_c11 != multiply(X5,inverse(X5))
        | sk_c11 != multiply(inverse(X5),sk_c10)
        | inverse(X7) != multiply(X7,inverse(X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f380,plain,
    ( identity != sk_c11
    | sk_c9 != inverse(sk_c11)
    | sk_c9 != inverse(sk_c9)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(inner_rewriting,[],[f379]) ).

fof(f379,plain,
    ( identity != sk_c11
    | sk_c9 != inverse(sk_c11)
    | sk_c9 != inverse(inverse(sk_c11))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(inner_rewriting,[],[f378]) ).

fof(f378,plain,
    ( identity != sk_c11
    | sk_c9 != inverse(identity)
    | sk_c9 != inverse(inverse(identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f377]) ).

fof(f377,plain,
    ( sk_c11 != sk_c11
    | identity != sk_c11
    | sk_c9 != inverse(identity)
    | sk_c9 != inverse(inverse(identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f376,f74]) ).

fof(f376,plain,
    ( identity != sk_c11
    | sk_c11 != multiply(sk_c10,sk_c9)
    | sk_c9 != inverse(identity)
    | sk_c9 != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f293,f271]) ).

fof(f293,plain,
    ( sk_c11 != multiply(sk_c9,sk_c10)
    | sk_c11 != multiply(sk_c10,sk_c9)
    | sk_c9 != inverse(identity)
    | sk_c9 != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(superposition,[],[f289,f79]) ).

fof(f289,plain,
    ( ! [X0] :
        ( sk_c11 != multiply(inverse(X0),sk_c10)
        | sk_c11 != multiply(X0,inverse(X0))
        | inverse(X0) != inverse(identity)
        | inverse(X0) != inverse(inverse(identity)) )
    | ~ spl0_19 ),
    inference(superposition,[],[f200,f1]) ).

fof(f200,plain,
    ( ! [X7,X5] :
        ( inverse(X7) != multiply(X7,inverse(X5))
        | sk_c11 != multiply(X5,inverse(X5))
        | sk_c11 != multiply(inverse(X5),sk_c10)
        | inverse(X5) != inverse(inverse(X7)) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f338,plain,
    ( spl0_24
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f333,f87,f82,f77,f226]) ).

fof(f333,plain,
    ( sk_c11 = multiply(sk_c9,sk_c10)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f318,f327]) ).

fof(f284,plain,
    ( ~ spl0_32
    | ~ spl0_33
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f275,f196,f77,f281,f277]) ).

fof(f196,plain,
    ( spl0_18
  <=> ! [X4] :
        ( sk_c10 != inverse(X4)
        | sk_c9 != multiply(X4,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f275,plain,
    ( sk_c10 != inverse(sk_c9)
    | identity != sk_c9
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f274,f79]) ).

fof(f274,plain,
    ( identity != sk_c9
    | sk_c10 != inverse(inverse(sk_c10))
    | ~ spl0_18 ),
    inference(superposition,[],[f197,f2]) ).

fof(f197,plain,
    ( ! [X4] :
        ( sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != inverse(X4) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f268,plain,
    ( ~ spl0_30
    | ~ spl0_31
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f259,f193,f265,f261]) ).

fof(f193,plain,
    ( spl0_17
  <=> ! [X3] :
        ( sk_c11 != inverse(X3)
        | sk_c10 != multiply(X3,sk_c11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f259,plain,
    ( sk_c11 != sk_c10
    | sk_c11 != inverse(identity)
    | ~ spl0_17 ),
    inference(superposition,[],[f194,f1]) ).

fof(f194,plain,
    ( ! [X3] :
        ( sk_c10 != multiply(X3,sk_c11)
        | sk_c11 != inverse(X3) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f257,plain,
    ( ~ spl0_7
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f256,f205,f92,f97]) ).

fof(f256,plain,
    ( sk_c11 != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(trivial_inequality_removal,[],[f255]) ).

fof(f255,plain,
    ( sk_c9 != sk_c9
    | sk_c11 != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(superposition,[],[f206,f94]) ).

fof(f254,plain,
    ( ~ spl0_5
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f253,f202,f82,f87]) ).

fof(f253,plain,
    ( sk_c10 != inverse(sk_c7)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f252]) ).

fof(f252,plain,
    ( sk_c11 != sk_c11
    | sk_c10 != inverse(sk_c7)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(superposition,[],[f203,f84]) ).

fof(f219,plain,
    ( ~ spl0_5
    | ~ spl0_23
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f214,f196,f82,f216,f87]) ).

fof(f214,plain,
    ( sk_c11 != sk_c9
    | sk_c10 != inverse(sk_c7)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(superposition,[],[f197,f84]) ).

fof(f207,plain,
    ( spl0_17
    | spl0_18
    | spl0_19
    | ~ spl0_2
    | ~ spl0_3
    | spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f191,f205,f202,f77,f72,f199,f196,f193]) ).

fof(f191,plain,
    ! [X3,X10,X9,X7,X4,X5] :
      ( sk_c11 != inverse(X10)
      | sk_c9 != multiply(X10,sk_c11)
      | sk_c10 != inverse(X9)
      | sk_c11 != multiply(X9,sk_c10)
      | sk_c9 != inverse(sk_c10)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | inverse(X5) != inverse(inverse(X7))
      | inverse(X7) != multiply(X7,inverse(X5))
      | sk_c11 != multiply(inverse(X5),sk_c10)
      | sk_c11 != multiply(X5,inverse(X5))
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(X4,sk_c10)
      | sk_c11 != inverse(X3)
      | sk_c10 != multiply(X3,sk_c11) ),
    inference(inner_rewriting,[],[f66]) ).

fof(f66,plain,
    ! [X3,X10,X9,X7,X4,X5] :
      ( sk_c11 != inverse(X10)
      | sk_c9 != multiply(X10,sk_c11)
      | sk_c10 != inverse(X9)
      | sk_c11 != multiply(X9,sk_c10)
      | sk_c9 != inverse(sk_c10)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | inverse(X5) != inverse(multiply(X7,inverse(X5)))
      | inverse(X7) != multiply(X7,inverse(X5))
      | sk_c11 != multiply(inverse(X5),sk_c10)
      | sk_c11 != multiply(X5,inverse(X5))
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(X4,sk_c10)
      | sk_c11 != inverse(X3)
      | sk_c10 != multiply(X3,sk_c11) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X10,X6,X9,X7,X4,X5] :
      ( sk_c11 != inverse(X10)
      | sk_c9 != multiply(X10,sk_c11)
      | sk_c10 != inverse(X9)
      | sk_c11 != multiply(X9,sk_c10)
      | sk_c9 != inverse(sk_c10)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | inverse(multiply(X7,X6)) != X6
      | inverse(X7) != multiply(X7,X6)
      | sk_c11 != multiply(X6,sk_c10)
      | inverse(X5) != X6
      | sk_c11 != multiply(X5,X6)
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(X4,sk_c10)
      | sk_c11 != inverse(X3)
      | sk_c10 != multiply(X3,sk_c11) ),
    inference(equality_resolution,[],[f64]) ).

fof(f64,axiom,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( sk_c11 != inverse(X10)
      | sk_c9 != multiply(X10,sk_c11)
      | sk_c10 != inverse(X9)
      | sk_c11 != multiply(X9,sk_c10)
      | sk_c9 != inverse(sk_c10)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | multiply(X7,X6) != X8
      | inverse(X8) != X6
      | inverse(X7) != X8
      | sk_c11 != multiply(X6,sk_c10)
      | inverse(X5) != X6
      | sk_c11 != multiply(X5,X6)
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(X4,sk_c10)
      | sk_c11 != inverse(X3)
      | sk_c10 != multiply(X3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).

fof(f190,plain,
    ( spl0_16
    | spl0_7 ),
    inference(avatar_split_clause,[],[f63,f97,f182]) ).

fof(f63,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c4 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).

fof(f189,plain,
    ( spl0_16
    | spl0_6 ),
    inference(avatar_split_clause,[],[f62,f92,f182]) ).

fof(f62,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | sk_c4 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).

fof(f188,plain,
    ( spl0_16
    | spl0_5 ),
    inference(avatar_split_clause,[],[f61,f87,f182]) ).

fof(f61,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c4 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).

fof(f187,plain,
    ( spl0_16
    | spl0_4 ),
    inference(avatar_split_clause,[],[f60,f82,f182]) ).

fof(f60,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | sk_c4 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).

fof(f186,plain,
    ( spl0_16
    | spl0_3 ),
    inference(avatar_split_clause,[],[f59,f77,f182]) ).

fof(f59,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c4 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).

fof(f185,plain,
    ( spl0_16
    | spl0_2 ),
    inference(avatar_split_clause,[],[f58,f72,f182]) ).

fof(f58,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | sk_c4 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).

fof(f180,plain,
    ( spl0_15
    | spl0_7 ),
    inference(avatar_split_clause,[],[f57,f97,f172]) ).

fof(f57,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).

fof(f179,plain,
    ( spl0_15
    | spl0_6 ),
    inference(avatar_split_clause,[],[f56,f92,f172]) ).

fof(f56,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).

fof(f178,plain,
    ( spl0_15
    | spl0_5 ),
    inference(avatar_split_clause,[],[f55,f87,f172]) ).

fof(f55,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).

fof(f177,plain,
    ( spl0_15
    | spl0_4 ),
    inference(avatar_split_clause,[],[f54,f82,f172]) ).

fof(f54,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).

fof(f176,plain,
    ( spl0_15
    | spl0_3 ),
    inference(avatar_split_clause,[],[f53,f77,f172]) ).

fof(f53,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).

fof(f175,plain,
    ( spl0_15
    | spl0_2 ),
    inference(avatar_split_clause,[],[f52,f72,f172]) ).

fof(f52,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).

fof(f170,plain,
    ( spl0_14
    | spl0_7 ),
    inference(avatar_split_clause,[],[f51,f97,f162]) ).

fof(f51,axiom,
    ( sk_c11 = inverse(sk_c8)
    | inverse(sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).

fof(f169,plain,
    ( spl0_14
    | spl0_6 ),
    inference(avatar_split_clause,[],[f50,f92,f162]) ).

fof(f50,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | inverse(sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).

fof(f168,plain,
    ( spl0_14
    | spl0_5 ),
    inference(avatar_split_clause,[],[f49,f87,f162]) ).

fof(f49,axiom,
    ( sk_c10 = inverse(sk_c7)
    | inverse(sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).

fof(f167,plain,
    ( spl0_14
    | spl0_4 ),
    inference(avatar_split_clause,[],[f48,f82,f162]) ).

fof(f48,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | inverse(sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).

fof(f166,plain,
    ( spl0_14
    | spl0_3 ),
    inference(avatar_split_clause,[],[f47,f77,f162]) ).

fof(f47,axiom,
    ( sk_c9 = inverse(sk_c10)
    | inverse(sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).

fof(f165,plain,
    ( spl0_14
    | spl0_2 ),
    inference(avatar_split_clause,[],[f46,f72,f162]) ).

fof(f46,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | inverse(sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).

fof(f160,plain,
    ( spl0_13
    | spl0_7 ),
    inference(avatar_split_clause,[],[f45,f97,f152]) ).

fof(f45,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f159,plain,
    ( spl0_13
    | spl0_6 ),
    inference(avatar_split_clause,[],[f44,f92,f152]) ).

fof(f44,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f158,plain,
    ( spl0_13
    | spl0_5 ),
    inference(avatar_split_clause,[],[f43,f87,f152]) ).

fof(f43,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

fof(f157,plain,
    ( spl0_13
    | spl0_4 ),
    inference(avatar_split_clause,[],[f42,f82,f152]) ).

fof(f42,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).

fof(f156,plain,
    ( spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f41,f77,f152]) ).

fof(f41,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).

fof(f150,plain,
    ( spl0_12
    | spl0_7 ),
    inference(avatar_split_clause,[],[f39,f97,f142]) ).

fof(f39,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f149,plain,
    ( spl0_12
    | spl0_6 ),
    inference(avatar_split_clause,[],[f38,f92,f142]) ).

fof(f38,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f148,plain,
    ( spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f37,f87,f142]) ).

fof(f37,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f147,plain,
    ( spl0_12
    | spl0_4 ),
    inference(avatar_split_clause,[],[f36,f82,f142]) ).

fof(f36,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f146,plain,
    ( spl0_12
    | spl0_3 ),
    inference(avatar_split_clause,[],[f35,f77,f142]) ).

fof(f35,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f145,plain,
    ( spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f34,f72,f142]) ).

fof(f34,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f140,plain,
    ( spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f33,f97,f132]) ).

fof(f33,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c11 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f139,plain,
    ( spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f32,f92,f132]) ).

fof(f32,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | sk_c11 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f138,plain,
    ( spl0_11
    | spl0_5 ),
    inference(avatar_split_clause,[],[f31,f87,f132]) ).

fof(f31,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c11 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f137,plain,
    ( spl0_11
    | spl0_4 ),
    inference(avatar_split_clause,[],[f30,f82,f132]) ).

fof(f30,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | sk_c11 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f136,plain,
    ( spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f29,f77,f132]) ).

fof(f29,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c11 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f135,plain,
    ( spl0_11
    | spl0_2 ),
    inference(avatar_split_clause,[],[f28,f72,f132]) ).

fof(f28,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | sk_c11 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f130,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f27,f97,f122]) ).

fof(f27,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f129,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f26,f92,f122]) ).

fof(f26,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f128,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f25,f87,f122]) ).

fof(f25,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f127,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f24,f82,f122]) ).

fof(f24,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f125,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f22,f72,f122]) ).

fof(f22,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f120,plain,
    ( spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f21,f97,f112]) ).

fof(f21,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c9 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f119,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f20,f92,f112]) ).

fof(f20,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | sk_c9 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f118,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f19,f87,f112]) ).

fof(f19,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c9 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f117,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f18,f82,f112]) ).

fof(f18,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | sk_c9 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f115,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f72,f112]) ).

fof(f16,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | sk_c9 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f110,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f15,f97,f102]) ).

fof(f15,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f109,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f14,f92,f102]) ).

fof(f14,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f108,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f13,f87,f102]) ).

fof(f13,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f107,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f12,f82,f102]) ).

fof(f12,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f106,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f11,f77,f102]) ).

fof(f11,axiom,
    ( sk_c9 = inverse(sk_c10)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f100,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f9,f97,f68]) ).

fof(f9,axiom,
    ( sk_c11 = inverse(sk_c8)
    | multiply(sk_c1,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f95,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f92,f68]) ).

fof(f8,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | multiply(sk_c1,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f90,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f87,f68]) ).

fof(f7,axiom,
    ( sk_c10 = inverse(sk_c7)
    | multiply(sk_c1,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f85,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f82,f68]) ).

fof(f6,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | multiply(sk_c1,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f80,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f77,f68]) ).

fof(f5,axiom,
    ( sk_c9 = inverse(sk_c10)
    | multiply(sk_c1,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP242-1 : TPTP v8.2.0. Released v2.5.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 04:49:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.75  % (4693)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.75  % (4687)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.75  % (4689)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.75  % (4688)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.75  % (4690)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.75  % (4687)Refutation not found, incomplete strategy% (4687)------------------------------
% 0.56/0.75  % (4687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4687)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (4690)Refutation not found, incomplete strategy% (4690)------------------------------
% 0.56/0.75  % (4690)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4690)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (4690)Memory used [KB]: 1031
% 0.56/0.75  % (4690)Time elapsed: 0.004 s
% 0.56/0.75  % (4690)Instructions burned: 5 (million)
% 0.56/0.75  % (4687)Memory used [KB]: 1044
% 0.56/0.75  % (4687)Time elapsed: 0.004 s
% 0.56/0.75  % (4687)Instructions burned: 5 (million)
% 0.56/0.75  % (4690)------------------------------
% 0.56/0.75  % (4690)------------------------------
% 0.56/0.75  % (4687)------------------------------
% 0.56/0.75  % (4687)------------------------------
% 0.56/0.76  % (4695)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.56/0.76  % (4691)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.76  % (4694)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.76  % (4694)Refutation not found, incomplete strategy% (4694)------------------------------
% 0.56/0.76  % (4694)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (4694)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (4694)Memory used [KB]: 1027
% 0.56/0.76  % (4694)Time elapsed: 0.027 s
% 0.56/0.76  % (4694)Instructions burned: 5 (million)
% 0.56/0.76  % (4694)------------------------------
% 0.56/0.76  % (4694)------------------------------
% 0.56/0.76  % (4691)Refutation not found, incomplete strategy% (4691)------------------------------
% 0.56/0.76  % (4691)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (4691)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (4691)Memory used [KB]: 1109
% 0.56/0.76  % (4691)Time elapsed: 0.026 s
% 0.56/0.76  % (4691)Instructions burned: 6 (million)
% 0.56/0.76  % (4691)------------------------------
% 0.56/0.76  % (4691)------------------------------
% 0.56/0.76  % (4692)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.76  % (4697)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.76  % (4696)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.56/0.76  % (4698)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.61/0.77  % (4688)First to succeed.
% 0.61/0.77  % (4696)Refutation not found, incomplete strategy% (4696)------------------------------
% 0.61/0.77  % (4696)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (4696)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (4696)Memory used [KB]: 1082
% 0.61/0.77  % (4696)Time elapsed: 0.005 s
% 0.61/0.77  % (4696)Instructions burned: 9 (million)
% 0.61/0.77  % (4696)------------------------------
% 0.61/0.77  % (4696)------------------------------
% 0.61/0.77  % (4688)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4685"
% 0.61/0.77  % (4688)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for theBenchmark
% 0.61/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.78  % (4688)------------------------------
% 0.61/0.78  % (4688)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (4688)Termination reason: Refutation
% 0.61/0.78  
% 0.61/0.78  % (4688)Memory used [KB]: 1350
% 0.61/0.78  % (4688)Time elapsed: 0.023 s
% 0.61/0.78  % (4688)Instructions burned: 39 (million)
% 0.61/0.78  % (4685)Success in time 0.397 s
% 0.61/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------