TSTP Solution File: GRP366-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP366-1 : 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 : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:15:33 EDT 2022

% Result   : Unsatisfiable 2.06s 0.66s
% Output   : Refutation 2.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   97
% Syntax   : Number of formulae    :  506 (  45 unt;   0 def)
%            Number of atoms       : 2275 ( 631 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives : 3423 (1654   ~;1747   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  23 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  27 con; 0-2 aty)
%            Number of variables   :  109 ( 109   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2500,plain,
    $false,
    inference(avatar_sat_refutation,[],[f152,f157,f162,f171,f176,f181,f190,f195,f200,f205,f206,f207,f212,f213,f214,f215,f216,f217,f222,f223,f224,f225,f226,f227,f228,f233,f234,f235,f236,f238,f239,f240,f241,f242,f243,f259,f260,f261,f262,f263,f264,f265,f266,f268,f269,f271,f273,f274,f275,f276,f277,f278,f280,f281,f282,f283,f458,f504,f507,f559,f612,f647,f670,f731,f817,f916,f958,f2292,f2315,f2427,f2441,f2458,f2472,f2486,f2499]) ).

fof(f2499,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | spl16_10
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_41 ),
    inference(avatar_contradiction_clause,[],[f2498]) ).

fof(f2498,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | spl16_10
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_41 ),
    inference(subsumption_resolution,[],[f2497,f2294]) ).

fof(f2294,plain,
    ( identity = sk_c9
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f2068,f2279]) ).

fof(f2279,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f2230,f2272]) ).

fof(f2272,plain,
    ( identity = sk_c8
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f2248,f2260]) ).

fof(f2260,plain,
    ( ! [X10] : multiply(sk_c9,X10) = X10
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f2258,f1]) ).

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

fof(f2258,plain,
    ( ! [X10] : multiply(sk_c9,X10) = multiply(identity,X10)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f2234,f2236]) ).

fof(f2236,plain,
    ( identity = sk_c10
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f1888,f2233]) ).

fof(f2233,plain,
    ( ! [X12] : multiply(sk_c8,X12) = X12
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f787,f2074]) ).

fof(f2074,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f1474,f2069]) ).

fof(f2069,plain,
    ( sk_c10 = sk_c5
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f1370,f1888]) ).

fof(f1370,plain,
    ( sk_c5 = multiply(sk_c8,identity)
    | ~ spl16_7
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f1359,f1090]) ).

fof(f1090,plain,
    ( sk_c8 = inverse(sk_c9)
    | ~ spl16_7 ),
    inference(forward_demodulation,[],[f82,f175]) ).

fof(f175,plain,
    ( sk_c8 = sF9
    | ~ spl16_7 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl16_7
  <=> sk_c8 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).

fof(f82,plain,
    inverse(sk_c9) = sF9,
    introduced(function_definition,[]) ).

fof(f1359,plain,
    ( sk_c5 = multiply(inverse(sk_c9),identity)
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f351,f232]) ).

fof(f232,plain,
    ( sk_c9 = sF13
    | ~ spl16_16 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl16_16
  <=> sk_c9 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).

fof(f351,plain,
    sk_c5 = multiply(inverse(sF13),identity),
    inference(superposition,[],[f312,f292]) ).

fof(f292,plain,
    identity = multiply(sF13,sk_c5),
    inference(superposition,[],[f2,f95]) ).

fof(f95,plain,
    inverse(sk_c5) = sF13,
    introduced(function_definition,[]) ).

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

fof(f312,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f299,f1]) ).

fof(f299,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
    inference(superposition,[],[f3,f2]) ).

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

fof(f1474,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f320,f232]) ).

fof(f320,plain,
    ! [X0] : multiply(sF13,multiply(sk_c5,X0)) = X0,
    inference(forward_demodulation,[],[f319,f1]) ).

fof(f319,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF13,multiply(sk_c5,X0)),
    inference(superposition,[],[f3,f292]) ).

fof(f787,plain,
    ( ! [X12] : multiply(sk_c8,X12) = multiply(sk_c9,multiply(sk_c10,X12))
    | ~ spl16_5 ),
    inference(forward_demodulation,[],[f304,f166]) ).

fof(f166,plain,
    ( sk_c8 = sF6
    | ~ spl16_5 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f164,plain,
    ( spl16_5
  <=> sk_c8 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).

fof(f304,plain,
    ! [X12] : multiply(sk_c9,multiply(sk_c10,X12)) = multiply(sF6,X12),
    inference(superposition,[],[f3,f76]) ).

fof(f76,plain,
    multiply(sk_c9,sk_c10) = sF6,
    introduced(function_definition,[]) ).

fof(f1888,plain,
    ( sk_c10 = multiply(sk_c8,identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f1869,f1877]) ).

fof(f1877,plain,
    ( sk_c8 = sk_c7
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f1876,f1612]) ).

fof(f1612,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f1611,f211]) ).

fof(f211,plain,
    ( sk_c9 = sF14
    | ~ spl16_14 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f209,plain,
    ( spl16_14
  <=> sk_c9 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).

fof(f1611,plain,
    ( sk_c8 = multiply(sk_c9,sF14)
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f355,f232]) ).

fof(f355,plain,
    sk_c8 = multiply(sF13,sF14),
    inference(forward_demodulation,[],[f343,f95]) ).

fof(f343,plain,
    sk_c8 = multiply(inverse(sk_c5),sF14),
    inference(superposition,[],[f312,f98]) ).

fof(f98,plain,
    multiply(sk_c5,sk_c8) = sF14,
    introduced(function_definition,[]) ).

fof(f1876,plain,
    ( sk_c7 = multiply(sk_c9,sk_c9)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8 ),
    inference(forward_demodulation,[],[f1870,f748]) ).

fof(f748,plain,
    ( sk_c7 = multiply(sk_c10,identity)
    | ~ spl16_1
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f738,f147]) ).

fof(f147,plain,
    ( sk_c10 = sF10
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f145,plain,
    ( spl16_1
  <=> sk_c10 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f738,plain,
    ( sk_c7 = multiply(sF10,identity)
    | ~ spl16_4 ),
    inference(forward_demodulation,[],[f734,f85]) ).

fof(f85,plain,
    inverse(sk_c6) = sF10,
    introduced(function_definition,[]) ).

fof(f734,plain,
    ( sk_c7 = multiply(inverse(sk_c6),identity)
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f348,f161]) ).

fof(f161,plain,
    ( sk_c6 = sF2
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl16_4
  <=> sk_c6 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).

fof(f348,plain,
    sk_c7 = multiply(inverse(sF2),identity),
    inference(superposition,[],[f312,f293]) ).

fof(f293,plain,
    identity = multiply(sF2,sk_c7),
    inference(superposition,[],[f2,f70]) ).

fof(f70,plain,
    inverse(sk_c7) = sF2,
    introduced(function_definition,[]) ).

fof(f1870,plain,
    ( multiply(sk_c9,sk_c9) = multiply(sk_c10,identity)
    | ~ spl16_7
    | ~ spl16_8 ),
    inference(superposition,[],[f767,f1350]) ).

fof(f1350,plain,
    ( identity = multiply(sk_c8,sk_c9)
    | ~ spl16_7 ),
    inference(forward_demodulation,[],[f290,f175]) ).

fof(f290,plain,
    identity = multiply(sF9,sk_c9),
    inference(superposition,[],[f2,f82]) ).

fof(f767,plain,
    ( ! [X10] : multiply(sk_c9,X10) = multiply(sk_c10,multiply(sk_c8,X10))
    | ~ spl16_8 ),
    inference(forward_demodulation,[],[f302,f180]) ).

fof(f180,plain,
    ( sk_c9 = sF4
    | ~ spl16_8 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f178,plain,
    ( spl16_8
  <=> sk_c9 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).

fof(f302,plain,
    ! [X10] : multiply(sF4,X10) = multiply(sk_c10,multiply(sk_c8,X10)),
    inference(superposition,[],[f3,f73]) ).

fof(f73,plain,
    multiply(sk_c10,sk_c8) = sF4,
    introduced(function_definition,[]) ).

fof(f1869,plain,
    ( sk_c10 = multiply(sk_c7,identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_9
    | ~ spl16_11 ),
    inference(forward_demodulation,[],[f1863,f765]) ).

fof(f765,plain,
    ( sk_c10 = multiply(sk_c4,sk_c4)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_9
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f755,f763]) ).

fof(f763,plain,
    ( sk_c4 = sF12
    | ~ spl16_1
    | ~ spl16_9
    | ~ spl16_11 ),
    inference(forward_demodulation,[],[f185,f753]) ).

fof(f753,plain,
    ( sk_c4 = sk_c6
    | ~ spl16_1
    | ~ spl16_11 ),
    inference(forward_demodulation,[],[f749,f740]) ).

fof(f740,plain,
    ( sk_c4 = multiply(inverse(sk_c10),identity)
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f347,f194]) ).

fof(f194,plain,
    ( sk_c10 = sF1
    | ~ spl16_11 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f192,plain,
    ( spl16_11
  <=> sk_c10 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).

fof(f347,plain,
    sk_c4 = multiply(inverse(sF1),identity),
    inference(superposition,[],[f312,f291]) ).

fof(f291,plain,
    identity = multiply(sF1,sk_c4),
    inference(superposition,[],[f2,f68]) ).

fof(f68,plain,
    inverse(sk_c4) = sF1,
    introduced(function_definition,[]) ).

fof(f749,plain,
    ( sk_c6 = multiply(inverse(sk_c10),identity)
    | ~ spl16_1 ),
    inference(backward_demodulation,[],[f350,f147]) ).

fof(f350,plain,
    sk_c6 = multiply(inverse(sF10),identity),
    inference(superposition,[],[f312,f294]) ).

fof(f294,plain,
    identity = multiply(sF10,sk_c6),
    inference(superposition,[],[f2,f85]) ).

fof(f185,plain,
    ( sk_c6 = sF12
    | ~ spl16_9 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl16_9
  <=> sk_c6 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).

fof(f755,plain,
    ( sk_c10 = multiply(sk_c4,sF12)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f733,f753]) ).

fof(f733,plain,
    ( sk_c10 = multiply(sk_c6,sF12)
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f353,f161]) ).

fof(f353,plain,
    sk_c10 = multiply(sF2,sF12),
    inference(forward_demodulation,[],[f344,f70]) ).

fof(f344,plain,
    sk_c10 = multiply(inverse(sk_c7),sF12),
    inference(superposition,[],[f312,f92]) ).

fof(f92,plain,
    multiply(sk_c7,sk_c10) = sF12,
    introduced(function_definition,[]) ).

fof(f1863,plain,
    ( multiply(sk_c4,sk_c4) = multiply(sk_c7,identity)
    | ~ spl16_1
    | ~ spl16_9
    | ~ spl16_11 ),
    inference(superposition,[],[f764,f742]) ).

fof(f742,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f291,f194]) ).

fof(f764,plain,
    ( ! [X15] : multiply(sk_c4,X15) = multiply(sk_c7,multiply(sk_c10,X15))
    | ~ spl16_1
    | ~ spl16_9
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f307,f763]) ).

fof(f307,plain,
    ! [X15] : multiply(sF12,X15) = multiply(sk_c7,multiply(sk_c10,X15)),
    inference(superposition,[],[f3,f92]) ).

fof(f2234,plain,
    ( ! [X10] : multiply(sk_c9,X10) = multiply(sk_c10,X10)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f767,f2233]) ).

fof(f2248,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f746,f2236]) ).

fof(f746,plain,
    ( sk_c8 = multiply(sk_c9,sk_c10)
    | ~ spl16_5 ),
    inference(backward_demodulation,[],[f76,f166]) ).

fof(f2230,plain,
    ( identity = multiply(sk_c4,sk_c8)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f1886,f1350]) ).

fof(f1886,plain,
    ( multiply(sk_c8,sk_c9) = multiply(sk_c4,sk_c8)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f1861,f1877]) ).

fof(f1861,plain,
    ( multiply(sk_c4,sk_c8) = multiply(sk_c7,sk_c9)
    | ~ spl16_1
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11 ),
    inference(superposition,[],[f764,f1472]) ).

fof(f1472,plain,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | ~ spl16_8 ),
    inference(forward_demodulation,[],[f73,f180]) ).

fof(f2068,plain,
    ( sk_c9 = multiply(sk_c4,identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f1107,f1883]) ).

fof(f1883,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f758,f1877]) ).

fof(f758,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f737,f753]) ).

fof(f737,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f70,f161]) ).

fof(f1107,plain,
    ( sk_c9 = multiply(inverse(sk_c8),identity)
    | ~ spl16_7 ),
    inference(forward_demodulation,[],[f349,f175]) ).

fof(f349,plain,
    sk_c9 = multiply(inverse(sF9),identity),
    inference(superposition,[],[f312,f290]) ).

fof(f2497,plain,
    ( identity != sk_c9
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | spl16_10
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_41 ),
    inference(forward_demodulation,[],[f188,f2342]) ).

fof(f2342,plain,
    ( identity = sF7
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_41 ),
    inference(backward_demodulation,[],[f2067,f727]) ).

fof(f727,plain,
    ( identity = sk_c4
    | ~ spl16_41 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl16_41
  <=> identity = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_41])]) ).

fof(f2067,plain,
    ( sk_c4 = sF7
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f78,f1885]) ).

fof(f1885,plain,
    ( multiply(sk_c8,sk_c10) = sk_c4
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f766,f1877]) ).

fof(f766,plain,
    ( sk_c4 = multiply(sk_c7,sk_c10)
    | ~ spl16_1
    | ~ spl16_9
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f92,f763]) ).

fof(f78,plain,
    multiply(sk_c8,sk_c10) = sF7,
    introduced(function_definition,[]) ).

fof(f188,plain,
    ( sk_c9 != sF7
    | spl16_10 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl16_10
  <=> sk_c9 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).

fof(f2486,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_17
    | ~ spl16_41 ),
    inference(avatar_contradiction_clause,[],[f2485]) ).

fof(f2485,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_17
    | ~ spl16_41 ),
    inference(subsumption_resolution,[],[f2480,f2346]) ).

fof(f2346,plain,
    ( identity = inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_41 ),
    inference(backward_demodulation,[],[f2278,f727]) ).

fof(f2278,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f1883,f2272]) ).

fof(f2480,plain,
    ( identity != inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_17 ),
    inference(duplicate_literal_removal,[],[f2476]) ).

fof(f2476,plain,
    ( identity != inverse(identity)
    | identity != inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_17 ),
    inference(superposition,[],[f2475,f1]) ).

fof(f2475,plain,
    ( ! [X8] :
        ( inverse(X8) != multiply(X8,identity)
        | identity != inverse(multiply(X8,identity)) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_17 ),
    inference(forward_demodulation,[],[f2474,f2236]) ).

fof(f2474,plain,
    ( ! [X8] :
        ( inverse(X8) != multiply(X8,sk_c10)
        | identity != inverse(multiply(X8,identity)) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_17 ),
    inference(forward_demodulation,[],[f246,f2236]) ).

fof(f246,plain,
    ( ! [X8] :
        ( sk_c10 != inverse(multiply(X8,sk_c10))
        | inverse(X8) != multiply(X8,sk_c10) )
    | ~ spl16_17 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl16_17
  <=> ! [X8] :
        ( sk_c10 != inverse(multiply(X8,sk_c10))
        | inverse(X8) != multiply(X8,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).

fof(f2472,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21
    | ~ spl16_41 ),
    inference(avatar_contradiction_clause,[],[f2471]) ).

fof(f2471,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21
    | ~ spl16_41 ),
    inference(subsumption_resolution,[],[f2466,f2346]) ).

fof(f2466,plain,
    ( identity != inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(trivial_inequality_removal,[],[f2462]) ).

fof(f2462,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(superposition,[],[f2461,f1]) ).

fof(f2461,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f2460,f2236]) ).

fof(f2460,plain,
    ( ! [X6] :
        ( sk_c10 != inverse(X6)
        | identity != multiply(X6,identity) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f2459,f2294]) ).

fof(f2459,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(X6,identity)
        | sk_c10 != inverse(X6) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f258,f2236]) ).

fof(f258,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) )
    | ~ spl16_21 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl16_21
  <=> ! [X6] :
        ( sk_c9 != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).

fof(f2458,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_20
    | ~ spl16_41 ),
    inference(avatar_contradiction_clause,[],[f2457]) ).

fof(f2457,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_20
    | ~ spl16_41 ),
    inference(subsumption_resolution,[],[f2456,f2346]) ).

fof(f2456,plain,
    ( identity != inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_20
    | ~ spl16_41 ),
    inference(forward_demodulation,[],[f2455,f2346]) ).

fof(f2455,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_20 ),
    inference(subsumption_resolution,[],[f2448,f1]) ).

fof(f2448,plain,
    ( identity != inverse(inverse(identity))
    | identity != multiply(identity,identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_20 ),
    inference(superposition,[],[f2445,f2]) ).

fof(f2445,plain,
    ( ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_20 ),
    inference(forward_demodulation,[],[f2444,f2294]) ).

fof(f2444,plain,
    ( ! [X4] :
        ( sk_c9 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_20 ),
    inference(forward_demodulation,[],[f2443,f2236]) ).

fof(f2443,plain,
    ( ! [X4] :
        ( sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
        | identity != inverse(X4) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_20 ),
    inference(forward_demodulation,[],[f255,f2236]) ).

fof(f255,plain,
    ( ! [X4] :
        ( sk_c10 != inverse(X4)
        | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10)) )
    | ~ spl16_20 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl16_20
  <=> ! [X4] :
        ( sk_c10 != inverse(X4)
        | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).

fof(f2441,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_19
    | ~ spl16_41 ),
    inference(avatar_contradiction_clause,[],[f2440]) ).

fof(f2440,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_19
    | ~ spl16_41 ),
    inference(subsumption_resolution,[],[f2435,f2346]) ).

fof(f2435,plain,
    ( identity != inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_19 ),
    inference(trivial_inequality_removal,[],[f2431]) ).

fof(f2431,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_19 ),
    inference(superposition,[],[f2430,f1]) ).

fof(f2430,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_19 ),
    inference(forward_demodulation,[],[f2429,f2294]) ).

fof(f2429,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | sk_c9 != multiply(X7,identity) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_19 ),
    inference(forward_demodulation,[],[f2428,f2272]) ).

fof(f2428,plain,
    ( ! [X7] :
        ( sk_c9 != multiply(X7,sk_c8)
        | identity != inverse(X7) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_19 ),
    inference(forward_demodulation,[],[f252,f2294]) ).

fof(f252,plain,
    ( ! [X7] :
        ( sk_c9 != inverse(X7)
        | sk_c9 != multiply(X7,sk_c8) )
    | ~ spl16_19 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl16_19
  <=> ! [X7] :
        ( sk_c9 != multiply(X7,sk_c8)
        | sk_c9 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).

fof(f2427,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_41 ),
    inference(avatar_contradiction_clause,[],[f2426]) ).

fof(f2426,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_41 ),
    inference(subsumption_resolution,[],[f2425,f2346]) ).

fof(f2425,plain,
    ( identity != inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_41 ),
    inference(forward_demodulation,[],[f2412,f2346]) ).

fof(f2412,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_18 ),
    inference(trivial_inequality_removal,[],[f2410]) ).

fof(f2410,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_18 ),
    inference(superposition,[],[f2354,f2]) ).

fof(f2354,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_18 ),
    inference(forward_demodulation,[],[f2353,f2236]) ).

fof(f2353,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c10 != multiply(X5,identity) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_18 ),
    inference(forward_demodulation,[],[f2352,f2272]) ).

fof(f2352,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(X5,sk_c8)
        | identity != inverse(X5) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_18 ),
    inference(forward_demodulation,[],[f249,f2272]) ).

fof(f249,plain,
    ( ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c10 != multiply(X5,sk_c8) )
    | ~ spl16_18 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl16_18
  <=> ! [X5] :
        ( sk_c10 != multiply(X5,sk_c8)
        | sk_c8 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).

fof(f2315,plain,
    ( spl16_41
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(avatar_split_clause,[],[f2314,f230,f209,f192,f183,f178,f173,f164,f159,f145,f726]) ).

fof(f2314,plain,
    ( identity = sk_c4
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f2313,f2]) ).

fof(f2313,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f740,f2236]) ).

fof(f2292,plain,
    ( ~ spl16_1
    | spl16_3
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(avatar_contradiction_clause,[],[f2291]) ).

fof(f2291,plain,
    ( $false
    | ~ spl16_1
    | spl16_3
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(subsumption_resolution,[],[f2283,f2243]) ).

fof(f2243,plain,
    ( identity != sF3
    | ~ spl16_1
    | spl16_3
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f155,f2236]) ).

fof(f155,plain,
    ( sk_c10 != sF3
    | spl16_3 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f154,plain,
    ( spl16_3
  <=> sk_c10 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

fof(f2283,plain,
    ( identity = sF3
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f2261,f2272]) ).

fof(f2261,plain,
    ( sk_c8 = sF3
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f2229,f2260]) ).

fof(f2229,plain,
    ( multiply(sk_c9,sk_c8) = sF3
    | ~ spl16_6
    | ~ spl16_7 ),
    inference(forward_demodulation,[],[f71,f1600]) ).

fof(f1600,plain,
    ( sk_c9 = sk_c3
    | ~ spl16_6
    | ~ spl16_7 ),
    inference(forward_demodulation,[],[f337,f1107]) ).

fof(f337,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl16_6 ),
    inference(superposition,[],[f312,f296]) ).

fof(f296,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl16_6 ),
    inference(superposition,[],[f2,f288]) ).

fof(f288,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl16_6 ),
    inference(backward_demodulation,[],[f80,f170]) ).

fof(f170,plain,
    ( sk_c8 = sF8
    | ~ spl16_6 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl16_6
  <=> sk_c8 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).

fof(f80,plain,
    inverse(sk_c3) = sF8,
    introduced(function_definition,[]) ).

fof(f71,plain,
    multiply(sk_c3,sk_c8) = sF3,
    introduced(function_definition,[]) ).

fof(f958,plain,
    ( ~ spl16_3
    | ~ spl16_6
    | ~ spl16_7
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(avatar_contradiction_clause,[],[f957]) ).

fof(f957,plain,
    ( $false
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_7
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(subsumption_resolution,[],[f956,f890]) ).

fof(f890,plain,
    ( identity = inverse(identity)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_7
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f859,f888]) ).

fof(f888,plain,
    ( identity = sF9
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_7
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f175,f851]) ).

fof(f851,plain,
    ( identity = sk_c8
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f799,f843]) ).

fof(f843,plain,
    ( ! [X14] : multiply(sk_c8,X14) = X14
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f784,f839]) ).

fof(f839,plain,
    ( ! [X17] : multiply(sk_c5,multiply(sk_c8,X17)) = X17
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f818,f837]) ).

fof(f837,plain,
    ( sk_c5 = sk_c3
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f785,f836]) ).

fof(f836,plain,
    ( sk_c5 = multiply(sF9,identity)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f832,f771]) ).

fof(f771,plain,
    ( inverse(sk_c8) = sF9
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(backward_demodulation,[],[f82,f770]) ).

fof(f770,plain,
    ( sk_c8 = sk_c9
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(forward_demodulation,[],[f287,f383]) ).

fof(f383,plain,
    ( sk_c8 = multiply(sk_c8,sk_c10)
    | ~ spl16_3
    | ~ spl16_6 ),
    inference(forward_demodulation,[],[f346,f288]) ).

fof(f346,plain,
    ( sk_c8 = multiply(inverse(sk_c3),sk_c10)
    | ~ spl16_3 ),
    inference(superposition,[],[f312,f286]) ).

fof(f286,plain,
    ( sk_c10 = multiply(sk_c3,sk_c8)
    | ~ spl16_3 ),
    inference(backward_demodulation,[],[f71,f156]) ).

fof(f156,plain,
    ( sk_c10 = sF3
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f287,plain,
    ( multiply(sk_c8,sk_c10) = sk_c9
    | ~ spl16_10 ),
    inference(backward_demodulation,[],[f78,f189]) ).

fof(f189,plain,
    ( sk_c9 = sF7
    | ~ spl16_10 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f832,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f351,f831]) ).

fof(f831,plain,
    ( sk_c8 = sF13
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f232,f770]) ).

fof(f785,plain,
    ( sk_c3 = multiply(sF9,identity)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(backward_demodulation,[],[f337,f771]) ).

fof(f818,plain,
    ( ! [X17] : multiply(sk_c3,multiply(sk_c8,X17)) = X17
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(forward_demodulation,[],[f798,f1]) ).

fof(f798,plain,
    ( ! [X17] : multiply(sk_c3,multiply(sk_c8,X17)) = multiply(identity,X17)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(backward_demodulation,[],[f309,f791]) ).

fof(f791,plain,
    ( identity = sk_c10
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(forward_demodulation,[],[f790,f2]) ).

fof(f790,plain,
    ( sk_c10 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(forward_demodulation,[],[f336,f770]) ).

fof(f336,plain,
    ( sk_c10 = multiply(inverse(sk_c8),sk_c9)
    | ~ spl16_10 ),
    inference(superposition,[],[f312,f287]) ).

fof(f309,plain,
    ( ! [X17] : multiply(sk_c3,multiply(sk_c8,X17)) = multiply(sk_c10,X17)
    | ~ spl16_3 ),
    inference(superposition,[],[f3,f286]) ).

fof(f784,plain,
    ( ! [X14] : multiply(sk_c5,multiply(sk_c8,X14)) = multiply(sk_c8,X14)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_14 ),
    inference(backward_demodulation,[],[f769,f770]) ).

fof(f769,plain,
    ( ! [X14] : multiply(sk_c5,multiply(sk_c8,X14)) = multiply(sk_c9,X14)
    | ~ spl16_14 ),
    inference(backward_demodulation,[],[f306,f211]) ).

fof(f306,plain,
    ! [X14] : multiply(sk_c5,multiply(sk_c8,X14)) = multiply(sF14,X14),
    inference(superposition,[],[f3,f98]) ).

fof(f799,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(backward_demodulation,[],[f383,f791]) ).

fof(f859,plain,
    ( sF9 = inverse(identity)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f771,f851]) ).

fof(f956,plain,
    ( identity != inverse(identity)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_7
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f952,f890]) ).

fof(f952,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(trivial_inequality_removal,[],[f951]) ).

fof(f951,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(superposition,[],[f866,f2]) ).

fof(f866,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(backward_demodulation,[],[f819,f851]) ).

fof(f819,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c8 != multiply(X6,identity) )
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f809,f791]) ).

fof(f809,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c10)
        | identity != inverse(X6) )
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_21 ),
    inference(backward_demodulation,[],[f775,f791]) ).

fof(f775,plain,
    ( ! [X6] :
        ( sk_c10 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c10) )
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_21 ),
    inference(backward_demodulation,[],[f258,f770]) ).

fof(f916,plain,
    ( ~ spl16_1
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_10
    | ~ spl16_11
    | spl16_12
    | ~ spl16_13
    | ~ spl16_14
    | ~ spl16_15
    | ~ spl16_16 ),
    inference(avatar_contradiction_clause,[],[f915]) ).

fof(f915,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_10
    | ~ spl16_11
    | spl16_12
    | ~ spl16_13
    | ~ spl16_14
    | ~ spl16_15
    | ~ spl16_16 ),
    inference(subsumption_resolution,[],[f914,f904]) ).

fof(f904,plain,
    ( identity != sF5
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | spl16_12
    | ~ spl16_13
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f198,f902]) ).

fof(f902,plain,
    ( identity = sk_c2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_13
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f901,f2]) ).

fof(f901,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_13
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f900,f791]) ).

fof(f900,plain,
    ( sk_c2 = multiply(inverse(sk_c10),identity)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_13
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f338,f858]) ).

fof(f858,plain,
    ( identity = sk_c9
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_14
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f770,f851]) ).

fof(f338,plain,
    ( sk_c2 = multiply(inverse(sk_c10),sk_c9)
    | ~ spl16_13 ),
    inference(superposition,[],[f312,f284]) ).

fof(f284,plain,
    ( sk_c9 = multiply(sk_c10,sk_c2)
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f67,f204]) ).

fof(f204,plain,
    ( sk_c9 = sF0
    | ~ spl16_13 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl16_13
  <=> sk_c9 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).

fof(f67,plain,
    multiply(sk_c10,sk_c2) = sF0,
    introduced(function_definition,[]) ).

fof(f198,plain,
    ( sk_c2 != sF5
    | spl16_12 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f197,plain,
    ( spl16_12
  <=> sk_c2 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).

fof(f914,plain,
    ( identity = sF5
    | ~ spl16_1
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_10
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_15
    | ~ spl16_16 ),
    inference(forward_demodulation,[],[f913,f847]) ).

fof(f847,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl16_1
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_10
    | ~ spl16_11
    | ~ spl16_14
    | ~ spl16_15
    | ~ spl16_16 ),
    inference(backward_demodulation,[],[f828,f843]) ).

fof(f828,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl16_1
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_10
    | ~ spl16_11
    | ~ spl16_15 ),
    inference(backward_demodulation,[],[f825,f827]) ).

fof(f827,plain,
    ( ! [X13] : multiply(sk_c4,X13) = multiply(sk_c8,X13)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_15 ),
    inference(backward_demodulation,[],[f815,f826]) ).

fof(f826,plain,
    ( sk_c8 = sF15
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_15 ),
    inference(forward_demodulation,[],[f221,f770]) ).

fof(f221,plain,
    ( sk_c9 = sF15
    | ~ spl16_15 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl16_15
  <=> sk_c9 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).

fof(f815,plain,
    ( ! [X13] : multiply(sF15,X13) = multiply(sk_c4,X13)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(forward_demodulation,[],[f797,f1]) ).

fof(f797,plain,
    ( ! [X13] : multiply(sF15,X13) = multiply(sk_c4,multiply(identity,X13))
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(backward_demodulation,[],[f305,f791]) ).

fof(f305,plain,
    ! [X13] : multiply(sF15,X13) = multiply(sk_c4,multiply(sk_c10,X13)),
    inference(superposition,[],[f3,f102]) ).

fof(f102,plain,
    multiply(sk_c4,sk_c10) = sF15,
    introduced(function_definition,[]) ).

fof(f825,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c4,X0)) = X0
    | ~ spl16_1
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_10
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f756,f824]) ).

fof(f824,plain,
    ( ! [X15] : multiply(sk_c7,X15) = multiply(sk_c4,X15)
    | ~ spl16_1
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_10
    | ~ spl16_11 ),
    inference(forward_demodulation,[],[f806,f1]) ).

fof(f806,plain,
    ( ! [X15] : multiply(sk_c7,multiply(identity,X15)) = multiply(sk_c4,X15)
    | ~ spl16_1
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_10
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f764,f791]) ).

fof(f756,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f735,f753]) ).

fof(f735,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f322,f161]) ).

fof(f322,plain,
    ! [X0] : multiply(sF2,multiply(sk_c7,X0)) = X0,
    inference(forward_demodulation,[],[f321,f1]) ).

fof(f321,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF2,multiply(sk_c7,X0)),
    inference(superposition,[],[f3,f293]) ).

fof(f913,plain,
    ( multiply(sk_c4,identity) = sF5
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_11 ),
    inference(forward_demodulation,[],[f912,f744]) ).

fof(f744,plain,
    ( sk_c4 = sk_c1
    | ~ spl16_2
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f340,f740]) ).

fof(f340,plain,
    ( sk_c1 = multiply(inverse(sk_c10),identity)
    | ~ spl16_2 ),
    inference(superposition,[],[f312,f295]) ).

fof(f295,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl16_2 ),
    inference(superposition,[],[f2,f289]) ).

fof(f289,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl16_2 ),
    inference(backward_demodulation,[],[f90,f151]) ).

fof(f151,plain,
    ( sk_c10 = sF11
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f149,plain,
    ( spl16_2
  <=> sk_c10 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

fof(f90,plain,
    inverse(sk_c1) = sF11,
    introduced(function_definition,[]) ).

fof(f912,plain,
    ( multiply(sk_c1,identity) = sF5
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10 ),
    inference(forward_demodulation,[],[f74,f791]) ).

fof(f74,plain,
    multiply(sk_c1,sk_c10) = sF5,
    introduced(function_definition,[]) ).

fof(f817,plain,
    ( spl16_41
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_11 ),
    inference(avatar_split_clause,[],[f816,f192,f187,f168,f154,f726]) ).

fof(f816,plain,
    ( identity = sk_c4
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_11 ),
    inference(forward_demodulation,[],[f801,f2]) ).

fof(f801,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f740,f791]) ).

fof(f731,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(avatar_contradiction_clause,[],[f730]) ).

fof(f730,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(subsumption_resolution,[],[f719,f449]) ).

fof(f449,plain,
    ( identity = inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f421,f447]) ).

fof(f447,plain,
    ( identity = sk_c3
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f425,f2]) ).

fof(f425,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f337,f417]) ).

fof(f417,plain,
    ( identity = sk_c8
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f408,f2]) ).

fof(f408,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f368,f384]) ).

fof(f384,plain,
    ( sk_c8 = sk_c10
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f362,f383]) ).

fof(f362,plain,
    ( sk_c10 = multiply(sk_c8,sk_c10)
    | ~ spl16_2
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f287,f357]) ).

fof(f357,plain,
    ( sk_c10 = sk_c9
    | ~ spl16_2
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f284,f356]) ).

fof(f356,plain,
    ( sk_c10 = multiply(sk_c10,sk_c2)
    | ~ spl16_2
    | ~ spl16_12 ),
    inference(forward_demodulation,[],[f345,f289]) ).

fof(f345,plain,
    ( sk_c10 = multiply(inverse(sk_c1),sk_c2)
    | ~ spl16_12 ),
    inference(superposition,[],[f312,f285]) ).

fof(f285,plain,
    ( sk_c2 = multiply(sk_c1,sk_c10)
    | ~ spl16_12 ),
    inference(backward_demodulation,[],[f74,f199]) ).

fof(f199,plain,
    ( sk_c2 = sF5
    | ~ spl16_12 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f368,plain,
    ( sk_c10 = multiply(inverse(sk_c8),sk_c10)
    | ~ spl16_2
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f336,f357]) ).

fof(f421,plain,
    ( identity = inverse(sk_c3)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f288,f417]) ).

fof(f719,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(trivial_inequality_removal,[],[f713]) ).

fof(f713,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(superposition,[],[f703,f1]) ).

fof(f703,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f702,f428]) ).

fof(f428,plain,
    ( identity = sk_c10
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f384,f417]) ).

fof(f702,plain,
    ( ! [X6] :
        ( sk_c10 != inverse(X6)
        | identity != multiply(X6,identity) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f701,f436]) ).

fof(f436,plain,
    ( identity = sk_c9
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f399,f417]) ).

fof(f399,plain,
    ( sk_c8 = sk_c9
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f357,f384]) ).

fof(f701,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(X6,identity)
        | sk_c10 != inverse(X6) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f258,f428]) ).

fof(f670,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_20 ),
    inference(avatar_contradiction_clause,[],[f669]) ).

fof(f669,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_20 ),
    inference(subsumption_resolution,[],[f668,f1]) ).

fof(f668,plain,
    ( identity != multiply(identity,identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_20 ),
    inference(subsumption_resolution,[],[f657,f449]) ).

fof(f657,plain,
    ( identity != inverse(identity)
    | identity != multiply(identity,identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_20 ),
    inference(superposition,[],[f656,f1]) ).

fof(f656,plain,
    ( ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_20 ),
    inference(forward_demodulation,[],[f655,f436]) ).

fof(f655,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c9 != multiply(identity,multiply(X4,identity)) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_20 ),
    inference(forward_demodulation,[],[f654,f428]) ).

fof(f654,plain,
    ( ! [X4] :
        ( sk_c10 != inverse(X4)
        | sk_c9 != multiply(identity,multiply(X4,identity)) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_20 ),
    inference(forward_demodulation,[],[f255,f428]) ).

fof(f647,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_19 ),
    inference(avatar_contradiction_clause,[],[f646]) ).

fof(f646,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_19 ),
    inference(subsumption_resolution,[],[f640,f449]) ).

fof(f640,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_19 ),
    inference(trivial_inequality_removal,[],[f634]) ).

fof(f634,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_19 ),
    inference(superposition,[],[f624,f1]) ).

fof(f624,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_19 ),
    inference(forward_demodulation,[],[f623,f436]) ).

fof(f623,plain,
    ( ! [X7] :
        ( sk_c9 != inverse(X7)
        | identity != multiply(X7,identity) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_19 ),
    inference(forward_demodulation,[],[f622,f436]) ).

fof(f622,plain,
    ( ! [X7] :
        ( sk_c9 != multiply(X7,identity)
        | sk_c9 != inverse(X7) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_19 ),
    inference(forward_demodulation,[],[f252,f417]) ).

fof(f612,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_18 ),
    inference(avatar_contradiction_clause,[],[f611]) ).

fof(f611,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_18 ),
    inference(subsumption_resolution,[],[f588,f449]) ).

fof(f588,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_18 ),
    inference(trivial_inequality_removal,[],[f582]) ).

fof(f582,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_18 ),
    inference(superposition,[],[f572,f1]) ).

fof(f572,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_18 ),
    inference(forward_demodulation,[],[f571,f428]) ).

fof(f571,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_18 ),
    inference(forward_demodulation,[],[f570,f417]) ).

fof(f570,plain,
    ( ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c10 != multiply(X5,identity) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_18 ),
    inference(forward_demodulation,[],[f249,f417]) ).

fof(f559,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(avatar_contradiction_clause,[],[f558]) ).

fof(f558,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(subsumption_resolution,[],[f533,f449]) ).

fof(f533,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(duplicate_literal_removal,[],[f527]) ).

fof(f527,plain,
    ( identity != inverse(identity)
    | identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(superposition,[],[f511,f1]) ).

fof(f511,plain,
    ( ! [X8] :
        ( inverse(X8) != multiply(X8,identity)
        | identity != inverse(multiply(X8,identity)) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(forward_demodulation,[],[f510,f428]) ).

fof(f510,plain,
    ( ! [X8] :
        ( identity != inverse(multiply(X8,identity))
        | inverse(X8) != multiply(X8,sk_c10) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(forward_demodulation,[],[f246,f428]) ).

fof(f507,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | spl16_7
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(avatar_contradiction_clause,[],[f506]) ).

fof(f506,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | spl16_7
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(subsumption_resolution,[],[f505,f417]) ).

fof(f505,plain,
    ( identity != sk_c8
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | spl16_7
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f174,f476]) ).

fof(f476,plain,
    ( identity = sF9
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f475,f449]) ).

fof(f475,plain,
    ( sF9 = inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f401,f417]) ).

fof(f401,plain,
    ( inverse(sk_c8) = sF9
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f359,f384]) ).

fof(f359,plain,
    ( inverse(sk_c10) = sF9
    | ~ spl16_2
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f82,f357]) ).

fof(f174,plain,
    ( sk_c8 != sF9
    | spl16_7 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f504,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | spl16_8
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(avatar_contradiction_clause,[],[f503]) ).

fof(f503,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | spl16_8
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(subsumption_resolution,[],[f502,f436]) ).

fof(f502,plain,
    ( identity != sk_c9
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | spl16_8
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f179,f454]) ).

fof(f454,plain,
    ( identity = sF4
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f429,f1]) ).

fof(f429,plain,
    ( multiply(identity,identity) = sF4
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f385,f417]) ).

fof(f385,plain,
    ( sF4 = multiply(sk_c8,sk_c8)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f73,f384]) ).

fof(f179,plain,
    ( sk_c9 != sF4
    | spl16_8 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f458,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | spl16_5
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(avatar_contradiction_clause,[],[f457]) ).

fof(f457,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | spl16_5
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(subsumption_resolution,[],[f456,f419]) ).

fof(f419,plain,
    ( identity != sF6
    | ~ spl16_2
    | ~ spl16_3
    | spl16_5
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f165,f417]) ).

fof(f165,plain,
    ( sk_c8 != sF6
    | spl16_5 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f456,plain,
    ( identity = sF6
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f416,f454]) ).

fof(f416,plain,
    ( sF6 = sF4
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f400,f385]) ).

fof(f400,plain,
    ( sF6 = multiply(sk_c8,sk_c8)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_6
    | ~ spl16_10
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f358,f384]) ).

fof(f358,plain,
    ( sF6 = multiply(sk_c10,sk_c10)
    | ~ spl16_2
    | ~ spl16_12
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f76,f357]) ).

fof(f283,plain,
    ( spl16_8
    | spl16_13 ),
    inference(avatar_split_clause,[],[f125,f202,f178]) ).

fof(f125,plain,
    ( sk_c9 = sF0
    | sk_c9 = sF4 ),
    inference(definition_folding,[],[f18,f73,f67]) ).

fof(f18,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c2)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f282,plain,
    ( spl16_5
    | spl16_2 ),
    inference(avatar_split_clause,[],[f117,f149,f164]) ).

fof(f117,plain,
    ( sk_c10 = sF11
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f34,f90,f76]) ).

fof(f34,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c10)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f281,plain,
    ( spl16_10
    | spl16_8 ),
    inference(avatar_split_clause,[],[f123,f178,f187]) ).

fof(f123,plain,
    ( sk_c9 = sF4
    | sk_c9 = sF7 ),
    inference(definition_folding,[],[f8,f73,f78]) ).

fof(f8,axiom,
    ( multiply(sk_c8,sk_c10) = sk_c9
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f280,plain,
    ( spl16_13
    | spl16_14 ),
    inference(avatar_split_clause,[],[f126,f209,f202]) ).

fof(f126,plain,
    ( sk_c9 = sF14
    | sk_c9 = sF0 ),
    inference(definition_folding,[],[f20,f67,f98]) ).

fof(f20,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f278,plain,
    ( spl16_11
    | spl16_2 ),
    inference(avatar_split_clause,[],[f136,f149,f192]) ).

fof(f136,plain,
    ( sk_c10 = sF11
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f36,f90,f68]) ).

fof(f36,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

fof(f277,plain,
    ( spl16_6
    | spl16_14 ),
    inference(avatar_split_clause,[],[f99,f209,f168]) ).

fof(f99,plain,
    ( sk_c9 = sF14
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f60,f98,f80]) ).

fof(f60,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).

fof(f276,plain,
    ( spl16_7
    | spl16_12 ),
    inference(avatar_split_clause,[],[f83,f197,f173]) ).

fof(f83,plain,
    ( sk_c2 = sF5
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f27,f82,f74]) ).

fof(f27,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c10)
    | sk_c8 = inverse(sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f275,plain,
    ( spl16_2
    | spl16_9 ),
    inference(avatar_split_clause,[],[f110,f183,f149]) ).

fof(f110,plain,
    ( sk_c6 = sF12
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f43,f90,f92]) ).

fof(f43,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c10)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).

fof(f274,plain,
    ( spl16_16
    | spl16_6 ),
    inference(avatar_split_clause,[],[f106,f168,f230]) ).

fof(f106,plain,
    ( sk_c8 = sF8
    | sk_c9 = sF13 ),
    inference(definition_folding,[],[f59,f80,f95]) ).

fof(f59,axiom,
    ( sk_c9 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).

fof(f273,plain,
    ( spl16_2
    | spl16_16 ),
    inference(avatar_split_clause,[],[f138,f230,f149]) ).

fof(f138,plain,
    ( sk_c9 = sF13
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f39,f90,f95]) ).

fof(f39,axiom,
    ( sk_c9 = inverse(sk_c5)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f271,plain,
    ( spl16_9
    | spl16_6 ),
    inference(avatar_split_clause,[],[f141,f168,f183]) ).

fof(f141,plain,
    ( sk_c8 = sF8
    | sk_c6 = sF12 ),
    inference(definition_folding,[],[f63,f92,f80]) ).

fof(f63,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).

fof(f269,plain,
    ( spl16_13
    | spl16_16 ),
    inference(avatar_split_clause,[],[f122,f230,f202]) ).

fof(f122,plain,
    ( sk_c9 = sF13
    | sk_c9 = sF0 ),
    inference(definition_folding,[],[f19,f67,f95]) ).

fof(f19,axiom,
    ( sk_c9 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f268,plain,
    ( spl16_4
    | spl16_2 ),
    inference(avatar_split_clause,[],[f91,f149,f159]) ).

fof(f91,plain,
    ( sk_c10 = sF11
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f41,f70,f90]) ).

fof(f41,axiom,
    ( sk_c10 = inverse(sk_c1)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).

fof(f266,plain,
    ( spl16_1
    | spl16_12 ),
    inference(avatar_split_clause,[],[f118,f197,f145]) ).

fof(f118,plain,
    ( sk_c2 = sF5
    | sk_c10 = sF10 ),
    inference(definition_folding,[],[f32,f74,f85]) ).

fof(f32,axiom,
    ( sk_c10 = inverse(sk_c6)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f265,plain,
    ( spl16_10
    | spl16_1 ),
    inference(avatar_split_clause,[],[f86,f145,f187]) ).

fof(f86,plain,
    ( sk_c10 = sF10
    | sk_c9 = sF7 ),
    inference(definition_folding,[],[f12,f78,f85]) ).

fof(f12,axiom,
    ( sk_c10 = inverse(sk_c6)
    | multiply(sk_c8,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f264,plain,
    ( spl16_13
    | spl16_11 ),
    inference(avatar_split_clause,[],[f69,f192,f202]) ).

fof(f69,plain,
    ( sk_c10 = sF1
    | sk_c9 = sF0 ),
    inference(definition_folding,[],[f16,f68,f67]) ).

fof(f16,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c2)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f263,plain,
    ( spl16_12
    | spl16_16 ),
    inference(avatar_split_clause,[],[f96,f230,f197]) ).

fof(f96,plain,
    ( sk_c9 = sF13
    | sk_c2 = sF5 ),
    inference(definition_folding,[],[f29,f74,f95]) ).

fof(f29,axiom,
    ( sk_c9 = inverse(sk_c5)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f262,plain,
    ( spl16_2
    | spl16_8 ),
    inference(avatar_split_clause,[],[f111,f178,f149]) ).

fof(f111,plain,
    ( sk_c9 = sF4
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f38,f90,f73]) ).

fof(f38,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f261,plain,
    ( spl16_14
    | spl16_10 ),
    inference(avatar_split_clause,[],[f119,f187,f209]) ).

fof(f119,plain,
    ( sk_c9 = sF7
    | sk_c9 = sF14 ),
    inference(definition_folding,[],[f10,f98,f78]) ).

fof(f10,axiom,
    ( multiply(sk_c8,sk_c10) = sk_c9
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f260,plain,
    ( spl16_6
    | spl16_1 ),
    inference(avatar_split_clause,[],[f139,f145,f168]) ).

fof(f139,plain,
    ( sk_c10 = sF10
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f62,f85,f80]) ).

fof(f62,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c10 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).

fof(f259,plain,
    ( ~ spl16_10
    | ~ spl16_8
    | ~ spl16_7
    | ~ spl16_5
    | spl16_17
    | spl16_18
    | spl16_19
    | spl16_20
    | spl16_21 ),
    inference(avatar_split_clause,[],[f128,f257,f254,f251,f248,f245,f164,f173,f178,f187]) ).

fof(f128,plain,
    ! [X8,X6,X7,X4,X5] :
      ( sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c10 != multiply(X5,sk_c8)
      | sk_c10 != inverse(multiply(X8,sk_c10))
      | sk_c8 != sF6
      | sk_c9 != inverse(X7)
      | sk_c8 != sF9
      | sk_c8 != inverse(X5)
      | sk_c9 != sF4
      | sk_c9 != sF7
      | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
      | inverse(X8) != multiply(X8,sk_c10)
      | sk_c10 != inverse(X6) ),
    inference(definition_folding,[],[f66,f78,f82,f73,f76]) ).

fof(f66,plain,
    ! [X8,X6,X7,X4,X5] :
      ( sk_c9 != multiply(X7,sk_c8)
      | sk_c8 != multiply(sk_c9,sk_c10)
      | sk_c9 != multiply(sk_c10,sk_c8)
      | sk_c10 != inverse(multiply(X8,sk_c10))
      | sk_c8 != inverse(sk_c9)
      | sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
      | sk_c9 != inverse(X7)
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(X6,sk_c10)
      | multiply(sk_c8,sk_c10) != sk_c9
      | sk_c10 != inverse(X6)
      | inverse(X8) != multiply(X8,sk_c10)
      | sk_c10 != multiply(X5,sk_c8)
      | sk_c8 != inverse(X5) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c9 != multiply(X7,sk_c8)
      | sk_c8 != multiply(sk_c9,sk_c10)
      | sk_c9 != multiply(sk_c10,sk_c8)
      | sk_c10 != inverse(multiply(X8,sk_c10))
      | sk_c8 != inverse(sk_c9)
      | sk_c9 != multiply(sk_c10,X3)
      | sk_c9 != inverse(X7)
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(X6,sk_c10)
      | multiply(sk_c8,sk_c10) != sk_c9
      | sk_c10 != inverse(X6)
      | multiply(X4,sk_c10) != X3
      | inverse(X8) != multiply(X8,sk_c10)
      | sk_c10 != multiply(X5,sk_c8)
      | sk_c8 != inverse(X5) ),
    inference(equality_resolution,[],[f64]) ).

fof(f64,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c9 != multiply(X7,sk_c8)
      | multiply(X8,sk_c10) != X9
      | sk_c8 != multiply(sk_c9,sk_c10)
      | sk_c9 != multiply(sk_c10,sk_c8)
      | sk_c10 != inverse(X9)
      | sk_c8 != inverse(sk_c9)
      | sk_c9 != multiply(sk_c10,X3)
      | sk_c9 != inverse(X7)
      | sk_c10 != inverse(X4)
      | sk_c9 != multiply(X6,sk_c10)
      | multiply(sk_c8,sk_c10) != sk_c9
      | sk_c10 != inverse(X6)
      | multiply(X4,sk_c10) != X3
      | inverse(X8) != X9
      | sk_c10 != multiply(X5,sk_c8)
      | sk_c8 != inverse(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).

fof(f243,plain,
    ( spl16_13
    | spl16_9 ),
    inference(avatar_split_clause,[],[f143,f183,f202]) ).

fof(f143,plain,
    ( sk_c6 = sF12
    | sk_c9 = sF0 ),
    inference(definition_folding,[],[f23,f92,f67]) ).

fof(f23,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f242,plain,
    ( spl16_10
    | spl16_7 ),
    inference(avatar_split_clause,[],[f135,f173,f187]) ).

fof(f135,plain,
    ( sk_c8 = sF9
    | sk_c9 = sF7 ),
    inference(definition_folding,[],[f7,f78,f82]) ).

fof(f7,axiom,
    ( sk_c8 = inverse(sk_c9)
    | multiply(sk_c8,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f241,plain,
    ( spl16_10
    | spl16_11 ),
    inference(avatar_split_clause,[],[f112,f192,f187]) ).

fof(f112,plain,
    ( sk_c10 = sF1
    | sk_c9 = sF7 ),
    inference(definition_folding,[],[f6,f68,f78]) ).

fof(f6,axiom,
    ( multiply(sk_c8,sk_c10) = sk_c9
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f240,plain,
    ( spl16_2
    | spl16_14 ),
    inference(avatar_split_clause,[],[f129,f209,f149]) ).

fof(f129,plain,
    ( sk_c9 = sF14
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f40,f98,f90]) ).

fof(f40,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

fof(f239,plain,
    ( spl16_12
    | spl16_9 ),
    inference(avatar_split_clause,[],[f130,f183,f197]) ).

fof(f130,plain,
    ( sk_c6 = sF12
    | sk_c2 = sF5 ),
    inference(definition_folding,[],[f33,f74,f92]) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c10)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f238,plain,
    ( spl16_11
    | spl16_6 ),
    inference(avatar_split_clause,[],[f133,f168,f192]) ).

fof(f133,plain,
    ( sk_c8 = sF8
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f56,f80,f68]) ).

fof(f56,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).

fof(f236,plain,
    ( spl16_16
    | spl16_3 ),
    inference(avatar_split_clause,[],[f109,f154,f230]) ).

fof(f109,plain,
    ( sk_c10 = sF3
    | sk_c9 = sF13 ),
    inference(definition_folding,[],[f49,f95,f71]) ).

fof(f49,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c8)
    | sk_c9 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).

fof(f235,plain,
    ( spl16_12
    | spl16_8 ),
    inference(avatar_split_clause,[],[f75,f178,f197]) ).

fof(f75,plain,
    ( sk_c9 = sF4
    | sk_c2 = sF5 ),
    inference(definition_folding,[],[f28,f74,f73]) ).

fof(f28,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f234,plain,
    ( spl16_4
    | spl16_12 ),
    inference(avatar_split_clause,[],[f97,f197,f159]) ).

fof(f97,plain,
    ( sk_c2 = sF5
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f31,f74,f70]) ).

fof(f31,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f233,plain,
    ( spl16_16
    | spl16_10 ),
    inference(avatar_split_clause,[],[f142,f187,f230]) ).

fof(f142,plain,
    ( sk_c9 = sF7
    | sk_c9 = sF13 ),
    inference(definition_folding,[],[f9,f78,f95]) ).

fof(f9,axiom,
    ( sk_c9 = inverse(sk_c5)
    | multiply(sk_c8,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f228,plain,
    ( spl16_6
    | spl16_4 ),
    inference(avatar_split_clause,[],[f89,f159,f168]) ).

fof(f89,plain,
    ( sk_c6 = sF2
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f61,f70,f80]) ).

fof(f61,axiom,
    ( sk_c8 = inverse(sk_c3)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).

fof(f227,plain,
    ( spl16_7
    | spl16_6 ),
    inference(avatar_split_clause,[],[f140,f168,f173]) ).

fof(f140,plain,
    ( sk_c8 = sF8
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f57,f82,f80]) ).

fof(f57,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).

fof(f226,plain,
    ( spl16_10
    | spl16_4 ),
    inference(avatar_split_clause,[],[f88,f159,f187]) ).

fof(f88,plain,
    ( sk_c6 = sF2
    | sk_c9 = sF7 ),
    inference(definition_folding,[],[f11,f70,f78]) ).

fof(f11,axiom,
    ( multiply(sk_c8,sk_c10) = sk_c9
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f225,plain,
    ( spl16_5
    | spl16_3 ),
    inference(avatar_split_clause,[],[f77,f154,f164]) ).

fof(f77,plain,
    ( sk_c10 = sF3
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f44,f76,f71]) ).

fof(f44,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c9,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

fof(f224,plain,
    ( spl16_3
    | spl16_9 ),
    inference(avatar_split_clause,[],[f114,f183,f154]) ).

fof(f114,plain,
    ( sk_c6 = sF12
    | sk_c10 = sF3 ),
    inference(definition_folding,[],[f53,f92,f71]) ).

fof(f53,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c8)
    | sk_c6 = multiply(sk_c7,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).

fof(f223,plain,
    ( spl16_12
    | spl16_5 ),
    inference(avatar_split_clause,[],[f132,f164,f197]) ).

fof(f132,plain,
    ( sk_c8 = sF6
    | sk_c2 = sF5 ),
    inference(definition_folding,[],[f24,f74,f76]) ).

fof(f24,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c10)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f222,plain,
    ( spl16_12
    | spl16_15 ),
    inference(avatar_split_clause,[],[f108,f219,f197]) ).

fof(f108,plain,
    ( sk_c9 = sF15
    | sk_c2 = sF5 ),
    inference(definition_folding,[],[f25,f102,f74]) ).

fof(f25,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c10)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f217,plain,
    ( spl16_10
    | spl16_5 ),
    inference(avatar_split_clause,[],[f79,f164,f187]) ).

fof(f79,plain,
    ( sk_c8 = sF6
    | sk_c9 = sF7 ),
    inference(definition_folding,[],[f4,f78,f76]) ).

fof(f4,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c10)
    | multiply(sk_c8,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f216,plain,
    ( spl16_14
    | spl16_12 ),
    inference(avatar_split_clause,[],[f115,f197,f209]) ).

fof(f115,plain,
    ( sk_c2 = sF5
    | sk_c9 = sF14 ),
    inference(definition_folding,[],[f30,f74,f98]) ).

fof(f30,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c2 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f215,plain,
    ( spl16_13
    | spl16_5 ),
    inference(avatar_split_clause,[],[f84,f164,f202]) ).

fof(f84,plain,
    ( sk_c8 = sF6
    | sk_c9 = sF0 ),
    inference(definition_folding,[],[f14,f67,f76]) ).

fof(f14,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c10)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f214,plain,
    ( spl16_7
    | spl16_13 ),
    inference(avatar_split_clause,[],[f87,f202,f173]) ).

fof(f87,plain,
    ( sk_c9 = sF0
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f17,f67,f82]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c9)
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f213,plain,
    ( spl16_8
    | spl16_6 ),
    inference(avatar_split_clause,[],[f81,f168,f178]) ).

fof(f81,plain,
    ( sk_c8 = sF8
    | sk_c9 = sF4 ),
    inference(definition_folding,[],[f58,f73,f80]) ).

fof(f58,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).

fof(f212,plain,
    ( spl16_14
    | spl16_3 ),
    inference(avatar_split_clause,[],[f107,f154,f209]) ).

fof(f107,plain,
    ( sk_c10 = sF3
    | sk_c9 = sF14 ),
    inference(definition_folding,[],[f50,f98,f71]) ).

fof(f50,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c8)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).

fof(f207,plain,
    ( spl16_4
    | spl16_13 ),
    inference(avatar_split_clause,[],[f131,f202,f159]) ).

fof(f131,plain,
    ( sk_c9 = sF0
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f21,f67,f70]) ).

fof(f21,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c9 = multiply(sk_c10,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f206,plain,
    ( spl16_3
    | spl16_7 ),
    inference(avatar_split_clause,[],[f124,f173,f154]) ).

fof(f124,plain,
    ( sk_c8 = sF9
    | sk_c10 = sF3 ),
    inference(definition_folding,[],[f47,f82,f71]) ).

fof(f47,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c8)
    | sk_c8 = inverse(sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).

fof(f205,plain,
    ( spl16_13
    | spl16_1 ),
    inference(avatar_split_clause,[],[f100,f145,f202]) ).

fof(f100,plain,
    ( sk_c10 = sF10
    | sk_c9 = sF0 ),
    inference(definition_folding,[],[f22,f85,f67]) ).

fof(f22,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c2)
    | sk_c10 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f200,plain,
    ( spl16_12
    | spl16_11 ),
    inference(avatar_split_clause,[],[f94,f192,f197]) ).

fof(f94,plain,
    ( sk_c10 = sF1
    | sk_c2 = sF5 ),
    inference(definition_folding,[],[f26,f68,f74]) ).

fof(f26,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c10)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f195,plain,
    ( spl16_11
    | spl16_3 ),
    inference(avatar_split_clause,[],[f113,f154,f192]) ).

fof(f113,plain,
    ( sk_c10 = sF3
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f46,f68,f71]) ).

fof(f46,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c8)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).

fof(f190,plain,
    ( spl16_9
    | spl16_10 ),
    inference(avatar_split_clause,[],[f93,f187,f183]) ).

fof(f93,plain,
    ( sk_c9 = sF7
    | sk_c6 = sF12 ),
    inference(definition_folding,[],[f13,f78,f92]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c10)
    | multiply(sk_c8,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f181,plain,
    ( spl16_3
    | spl16_8 ),
    inference(avatar_split_clause,[],[f101,f178,f154]) ).

fof(f101,plain,
    ( sk_c9 = sF4
    | sk_c10 = sF3 ),
    inference(definition_folding,[],[f48,f71,f73]) ).

fof(f48,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).

fof(f176,plain,
    ( spl16_2
    | spl16_7 ),
    inference(avatar_split_clause,[],[f120,f173,f149]) ).

fof(f120,plain,
    ( sk_c8 = sF9
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f37,f90,f82]) ).

fof(f37,axiom,
    ( sk_c8 = inverse(sk_c9)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

fof(f171,plain,
    ( spl16_5
    | spl16_6 ),
    inference(avatar_split_clause,[],[f104,f168,f164]) ).

fof(f104,plain,
    ( sk_c8 = sF8
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f54,f80,f76]) ).

fof(f54,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c10)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).

fof(f162,plain,
    ( spl16_4
    | spl16_3 ),
    inference(avatar_split_clause,[],[f72,f154,f159]) ).

fof(f72,plain,
    ( sk_c10 = sF3
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f51,f71,f70]) ).

fof(f51,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c10 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).

fof(f157,plain,
    ( spl16_1
    | spl16_3 ),
    inference(avatar_split_clause,[],[f116,f154,f145]) ).

fof(f116,plain,
    ( sk_c10 = sF3
    | sk_c10 = sF10 ),
    inference(definition_folding,[],[f52,f85,f71]) ).

fof(f52,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c8)
    | sk_c10 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).

fof(f152,plain,
    ( spl16_1
    | spl16_2 ),
    inference(avatar_split_clause,[],[f127,f149,f145]) ).

fof(f127,plain,
    ( sk_c10 = sF11
    | sk_c10 = sF10 ),
    inference(definition_folding,[],[f42,f85,f90]) ).

fof(f42,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c10 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP366-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:23:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (12416)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)
% 0.20/0.48  % (12429)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)
% 0.20/0.50  % (12421)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)
% 0.20/0.50  % (12438)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)
% 0.20/0.50  % (12430)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)
% 0.20/0.50  % (12440)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)
% 0.20/0.50  % (12438)Refutation not found, incomplete strategy% (12438)------------------------------
% 0.20/0.50  % (12438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (12422)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)
% 0.20/0.50  % (12430)Instruction limit reached!
% 0.20/0.50  % (12430)------------------------------
% 0.20/0.50  % (12430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (12430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (12430)Termination reason: Unknown
% 0.20/0.50  % (12430)Termination phase: Finite model building preprocessing
% 0.20/0.50  
% 0.20/0.50  % (12430)Memory used [KB]: 1407
% 0.20/0.50  % (12430)Time elapsed: 0.008 s
% 0.20/0.50  % (12430)Instructions burned: 6 (million)
% 0.20/0.50  % (12430)------------------------------
% 0.20/0.50  % (12430)------------------------------
% 0.20/0.51  % (12438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (12438)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (12438)Memory used [KB]: 5884
% 0.20/0.51  % (12438)Time elapsed: 0.065 s
% 0.20/0.51  % (12438)Instructions burned: 5 (million)
% 0.20/0.51  % (12438)------------------------------
% 0.20/0.51  % (12438)------------------------------
% 0.20/0.51  % (12415)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (12432)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51  % (12424)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)
% 0.20/0.52  % (12417)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)
% 0.20/0.52  % (12437)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)
% 0.20/0.52  % (12417)Instruction limit reached!
% 0.20/0.52  % (12417)------------------------------
% 0.20/0.52  % (12417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (12417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (12417)Termination reason: Unknown
% 0.20/0.52  % (12417)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (12417)Memory used [KB]: 5884
% 0.20/0.52  % (12417)Time elapsed: 0.004 s
% 0.20/0.52  % (12417)Instructions burned: 5 (million)
% 0.20/0.52  % (12417)------------------------------
% 0.20/0.52  % (12417)------------------------------
% 0.20/0.52  % (12419)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)
% 0.20/0.52  % (12418)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)
% 0.20/0.53  % (12439)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)
% 0.20/0.53  % (12420)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (12428)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  % (12429)Instruction limit reached!
% 0.20/0.53  % (12429)------------------------------
% 0.20/0.53  % (12429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12429)Termination reason: Unknown
% 0.20/0.53  % (12429)Termination phase: Saturation
% 0.20/0.53  % (12425)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)
% 0.20/0.53  
% 0.20/0.53  % (12429)Memory used [KB]: 1663
% 0.20/0.53  % (12429)Time elapsed: 0.118 s
% 0.20/0.53  % (12429)Instructions burned: 29 (million)
% 0.20/0.53  % (12429)------------------------------
% 0.20/0.53  % (12429)------------------------------
% 0.20/0.53  % (12428)Instruction limit reached!
% 0.20/0.53  % (12428)------------------------------
% 0.20/0.53  % (12428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12428)Termination reason: Unknown
% 0.20/0.53  % (12428)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (12428)Memory used [KB]: 1279
% 0.20/0.53  % (12428)Time elapsed: 0.003 s
% 0.20/0.53  % (12428)Instructions burned: 3 (million)
% 0.20/0.53  % (12428)------------------------------
% 0.20/0.53  % (12428)------------------------------
% 0.20/0.53  % (12432)Instruction limit reached!
% 0.20/0.53  % (12432)------------------------------
% 0.20/0.53  % (12432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12432)Termination reason: Unknown
% 0.20/0.53  % (12432)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (12432)Memory used [KB]: 6012
% 0.20/0.53  % (12432)Time elapsed: 0.129 s
% 0.20/0.53  % (12432)Instructions burned: 9 (million)
% 0.20/0.53  % (12432)------------------------------
% 0.20/0.53  % (12432)------------------------------
% 0.20/0.53  % (12443)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)
% 0.20/0.53  % (12442)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)
% 0.20/0.54  % (12444)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)
% 0.20/0.54  % (12435)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  % (12434)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)
% 0.20/0.54  % (12431)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)
% 0.20/0.54  % (12435)Instruction limit reached!
% 0.20/0.54  % (12435)------------------------------
% 0.20/0.54  % (12435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12435)Termination reason: Unknown
% 0.20/0.54  % (12435)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12431)Instruction limit reached!
% 0.20/0.54  % (12431)------------------------------
% 0.20/0.54  % (12431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12435)Memory used [KB]: 1407
% 0.20/0.54  % (12435)Time elapsed: 0.004 s
% 0.20/0.54  % (12435)Instructions burned: 7 (million)
% 0.20/0.54  % (12431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12435)------------------------------
% 0.20/0.54  % (12435)------------------------------
% 0.20/0.54  % (12431)Termination reason: Unknown
% 0.20/0.54  % (12431)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (12431)Memory used [KB]: 1279
% 0.20/0.54  % (12431)Time elapsed: 0.002 s
% 0.20/0.54  % (12431)Instructions burned: 2 (million)
% 0.20/0.54  % (12431)------------------------------
% 0.20/0.54  % (12431)------------------------------
% 0.20/0.54  % (12436)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)
% 0.20/0.54  % (12427)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)
% 0.20/0.54  % (12426)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)
% 0.20/0.54  % (12423)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  % (12423)Instruction limit reached!
% 0.20/0.54  % (12423)------------------------------
% 0.20/0.54  % (12423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12423)Termination reason: Unknown
% 0.20/0.54  % (12423)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12423)Memory used [KB]: 1279
% 0.20/0.54  % (12423)Time elapsed: 0.002 s
% 0.20/0.54  % (12423)Instructions burned: 3 (million)
% 0.20/0.54  % (12423)------------------------------
% 0.20/0.54  % (12423)------------------------------
% 0.20/0.54  % (12427)Instruction limit reached!
% 0.20/0.54  % (12427)------------------------------
% 0.20/0.54  % (12427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12427)Termination reason: Unknown
% 0.20/0.54  % (12427)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12427)Memory used [KB]: 6012
% 0.20/0.54  % (12427)Time elapsed: 0.153 s
% 0.20/0.54  % (12427)Instructions burned: 7 (million)
% 0.20/0.54  % (12427)------------------------------
% 0.20/0.54  % (12427)------------------------------
% 0.20/0.54  % (12433)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  % (12416)Instruction limit reached!
% 0.20/0.55  % (12416)------------------------------
% 0.20/0.55  % (12416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12416)Termination reason: Unknown
% 0.20/0.55  % (12416)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (12416)Memory used [KB]: 1663
% 0.20/0.55  % (12416)Time elapsed: 0.147 s
% 0.20/0.55  % (12416)Instructions burned: 44 (million)
% 0.20/0.55  % (12416)------------------------------
% 0.20/0.55  % (12416)------------------------------
% 0.20/0.55  % (12441)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)
% 1.57/0.55  % (12421)Instruction limit reached!
% 1.57/0.55  % (12421)------------------------------
% 1.57/0.55  % (12421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55  % (12421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55  % (12421)Termination reason: Unknown
% 1.57/0.55  % (12421)Termination phase: Saturation
% 1.57/0.55  
% 1.57/0.55  % (12421)Memory used [KB]: 1535
% 1.57/0.55  % (12421)Time elapsed: 0.153 s
% 1.57/0.55  % (12421)Instructions burned: 49 (million)
% 1.57/0.55  % (12421)------------------------------
% 1.57/0.55  % (12421)------------------------------
% 1.57/0.55  % (12420)Instruction limit reached!
% 1.57/0.55  % (12420)------------------------------
% 1.57/0.55  % (12420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (12425)Instruction limit reached!
% 1.57/0.56  % (12425)------------------------------
% 1.57/0.56  % (12425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (12425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56  % (12425)Termination reason: Unknown
% 1.57/0.56  % (12425)Termination phase: Saturation
% 1.57/0.56  
% 1.57/0.56  % (12425)Memory used [KB]: 5884
% 1.57/0.56  % (12425)Time elapsed: 0.140 s
% 1.57/0.56  % (12425)Instructions burned: 7 (million)
% 1.57/0.56  % (12425)------------------------------
% 1.57/0.56  % (12425)------------------------------
% 1.57/0.56  % (12434)Instruction limit reached!
% 1.57/0.56  % (12434)------------------------------
% 1.57/0.56  % (12434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (12434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56  % (12434)Termination reason: Unknown
% 1.57/0.56  % (12434)Termination phase: Saturation
% 1.57/0.56  
% 1.57/0.56  % (12434)Memory used [KB]: 6012
% 1.57/0.56  % (12434)Time elapsed: 0.150 s
% 1.57/0.56  % (12434)Instructions burned: 8 (million)
% 1.57/0.56  % (12434)------------------------------
% 1.57/0.56  % (12434)------------------------------
% 1.74/0.57  % (12426)Instruction limit reached!
% 1.74/0.57  % (12426)------------------------------
% 1.74/0.57  % (12426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57  % (12420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57  % (12420)Termination reason: Unknown
% 1.74/0.57  % (12420)Termination phase: Saturation
% 1.74/0.57  
% 1.74/0.57  % (12420)Memory used [KB]: 6140
% 1.74/0.57  % (12420)Time elapsed: 0.148 s
% 1.74/0.57  % (12420)Instructions burned: 26 (million)
% 1.74/0.57  % (12420)------------------------------
% 1.74/0.57  % (12420)------------------------------
% 1.74/0.57  % (12422)Instruction limit reached!
% 1.74/0.57  % (12422)------------------------------
% 1.74/0.57  % (12422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57  % (12426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57  % (12426)Termination reason: Unknown
% 1.74/0.57  % (12426)Termination phase: Saturation
% 1.74/0.57  
% 1.74/0.57  % (12443)Instruction limit reached!
% 1.74/0.57  % (12443)------------------------------
% 1.74/0.57  % (12443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57  % (12443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57  % (12443)Termination reason: Unknown
% 1.74/0.57  % (12443)Termination phase: Saturation
% 1.74/0.57  
% 1.74/0.57  % (12443)Memory used [KB]: 6140
% 1.74/0.57  % (12443)Time elapsed: 0.178 s
% 1.74/0.57  % (12443)Instructions burned: 20 (million)
% 1.74/0.57  % (12443)------------------------------
% 1.74/0.57  % (12443)------------------------------
% 1.74/0.57  % (12426)Memory used [KB]: 6268
% 1.74/0.57  % (12426)Time elapsed: 0.161 s
% 1.74/0.57  % (12426)Instructions burned: 23 (million)
% 1.74/0.57  % (12426)------------------------------
% 1.74/0.57  % (12426)------------------------------
% 1.74/0.58  % (12419)Instruction limit reached!
% 1.74/0.58  % (12419)------------------------------
% 1.74/0.58  % (12419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (12419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (12419)Termination reason: Unknown
% 1.74/0.58  % (12419)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (12419)Memory used [KB]: 6652
% 1.74/0.58  % (12419)Time elapsed: 0.173 s
% 1.74/0.58  % (12419)Instructions burned: 36 (million)
% 1.74/0.58  % (12419)------------------------------
% 1.74/0.58  % (12419)------------------------------
% 1.74/0.58  % (12418)Instruction limit reached!
% 1.74/0.58  % (12418)------------------------------
% 1.74/0.58  % (12418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (12418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (12418)Termination reason: Unknown
% 1.74/0.58  % (12418)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (12418)Memory used [KB]: 6396
% 1.74/0.58  % (12418)Time elapsed: 0.187 s
% 1.74/0.58  % (12418)Instructions burned: 45 (million)
% 1.74/0.58  % (12418)------------------------------
% 1.74/0.58  % (12418)------------------------------
% 1.74/0.58  % (12422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (12422)Termination reason: Unknown
% 1.74/0.58  % (12422)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (12422)Memory used [KB]: 6908
% 1.74/0.58  % (12422)Time elapsed: 0.131 s
% 1.74/0.58  % (12422)Instructions burned: 51 (million)
% 1.74/0.58  % (12422)------------------------------
% 1.74/0.58  % (12422)------------------------------
% 1.74/0.59  % (12433)Instruction limit reached!
% 1.74/0.59  % (12433)------------------------------
% 1.74/0.59  % (12433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (12433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (12433)Termination reason: Unknown
% 1.74/0.59  % (12433)Termination phase: Saturation
% 1.74/0.59  
% 1.74/0.59  % (12433)Memory used [KB]: 10746
% 1.74/0.59  % (12433)Time elapsed: 0.191 s
% 1.74/0.59  % (12433)Instructions burned: 28 (million)
% 1.74/0.59  % (12433)------------------------------
% 1.74/0.59  % (12433)------------------------------
% 1.74/0.59  % (12424)Instruction limit reached!
% 1.74/0.59  % (12424)------------------------------
% 1.74/0.59  % (12424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (12424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (12424)Termination reason: Unknown
% 1.74/0.59  % (12424)Termination phase: Saturation
% 1.74/0.59  
% 1.74/0.59  % (12424)Memory used [KB]: 7036
% 1.74/0.59  % (12424)Time elapsed: 0.213 s
% 1.74/0.59  % (12424)Instructions burned: 51 (million)
% 1.74/0.59  % (12424)------------------------------
% 1.74/0.59  % (12424)------------------------------
% 1.74/0.60  % (12439)Instruction limit reached!
% 1.74/0.60  % (12439)------------------------------
% 1.74/0.60  % (12439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62  % (12500)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.74/0.62  % (12436)Instruction limit reached!
% 1.74/0.62  % (12436)------------------------------
% 1.74/0.62  % (12436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62  % (12436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62  % (12436)Termination reason: Unknown
% 1.74/0.62  % (12436)Termination phase: Saturation
% 1.74/0.62  
% 1.74/0.62  % (12436)Memory used [KB]: 6652
% 1.74/0.62  % (12436)Time elapsed: 0.223 s
% 1.74/0.62  % (12436)Instructions burned: 68 (million)
% 1.74/0.62  % (12436)------------------------------
% 1.74/0.62  % (12436)------------------------------
% 1.74/0.62  % (12499)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)
% 1.74/0.62  % (12439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62  % (12439)Termination reason: Unknown
% 1.74/0.62  % (12439)Termination phase: Saturation
% 1.74/0.62  
% 1.74/0.62  % (12439)Memory used [KB]: 6908
% 1.74/0.62  % (12439)Time elapsed: 0.210 s
% 1.74/0.62  % (12439)Instructions burned: 46 (million)
% 1.74/0.62  % (12439)------------------------------
% 1.74/0.62  % (12439)------------------------------
% 1.74/0.63  % (12441)Instruction limit reached!
% 1.74/0.63  % (12441)------------------------------
% 1.74/0.63  % (12441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.64  % (12440)Instruction limit reached!
% 2.06/0.64  % (12440)------------------------------
% 2.06/0.64  % (12440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.64  % (12415)First to succeed.
% 2.06/0.64  % (12517)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 2.06/0.64  % (12437)Instruction limit reached!
% 2.06/0.64  % (12437)------------------------------
% 2.06/0.64  % (12437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.64  % (12437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.64  % (12437)Termination reason: Unknown
% 2.06/0.64  % (12437)Termination phase: Saturation
% 2.06/0.64  
% 2.06/0.64  % (12437)Memory used [KB]: 6652
% 2.06/0.64  % (12437)Time elapsed: 0.239 s
% 2.06/0.64  % (12437)Instructions burned: 97 (million)
% 2.06/0.64  % (12437)------------------------------
% 2.06/0.64  % (12437)------------------------------
% 2.06/0.64  % (12440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.64  % (12440)Termination reason: Unknown
% 2.06/0.64  % (12440)Termination phase: Saturation
% 2.06/0.64  
% 2.06/0.64  % (12440)Memory used [KB]: 7419
% 2.06/0.64  % (12440)Time elapsed: 0.251 s
% 2.06/0.64  % (12440)Instructions burned: 82 (million)
% 2.06/0.64  % (12440)------------------------------
% 2.06/0.64  % (12440)------------------------------
% 2.06/0.65  % (12442)Instruction limit reached!
% 2.06/0.65  % (12442)------------------------------
% 2.06/0.65  % (12442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.65  % (12442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.65  % (12442)Termination reason: Unknown
% 2.06/0.65  % (12442)Termination phase: Saturation
% 2.06/0.65  
% 2.06/0.65  % (12442)Memory used [KB]: 1791
% 2.06/0.65  % (12442)Time elapsed: 0.248 s
% 2.06/0.65  % (12442)Instructions burned: 74 (million)
% 2.06/0.65  % (12442)------------------------------
% 2.06/0.65  % (12442)------------------------------
% 2.06/0.65  % (12441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.65  % (12441)Termination reason: Unknown
% 2.06/0.65  % (12441)Termination phase: Saturation
% 2.06/0.65  
% 2.06/0.65  % (12441)Memory used [KB]: 7291
% 2.06/0.65  % (12441)Time elapsed: 0.217 s
% 2.06/0.65  % (12441)Instructions burned: 73 (million)
% 2.06/0.65  % (12441)------------------------------
% 2.06/0.65  % (12441)------------------------------
% 2.06/0.65  % (12499)Instruction limit reached!
% 2.06/0.65  % (12499)------------------------------
% 2.06/0.65  % (12499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.65  % (12499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.65  % (12499)Termination reason: Unknown
% 2.06/0.65  % (12499)Termination phase: Saturation
% 2.06/0.65  
% 2.06/0.65  % (12499)Memory used [KB]: 6140
% 2.06/0.65  % (12499)Time elapsed: 0.099 s
% 2.06/0.65  % (12499)Instructions burned: 15 (million)
% 2.06/0.65  % (12499)------------------------------
% 2.06/0.65  % (12499)------------------------------
% 2.06/0.66  % (12415)Refutation found. Thanks to Tanya!
% 2.06/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.06/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.66  % (12415)------------------------------
% 2.06/0.66  % (12415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.66  % (12415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.66  % (12415)Termination reason: Refutation
% 2.06/0.66  
% 2.06/0.66  % (12415)Memory used [KB]: 7036
% 2.06/0.66  % (12415)Time elapsed: 0.240 s
% 2.06/0.66  % (12415)Instructions burned: 72 (million)
% 2.06/0.66  % (12415)------------------------------
% 2.06/0.66  % (12415)------------------------------
% 2.06/0.66  % (12414)Success in time 0.308 s
%------------------------------------------------------------------------------