TSTP Solution File: GRP384-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP384-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:15:38 EDT 2022

% Result   : Unsatisfiable 2.19s 0.64s
% Output   : Refutation 2.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   98
% Syntax   : Number of formulae    :  545 (  46 unt;   0 def)
%            Number of atoms       : 2253 ( 676 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives : 3292 (1584   ~;1680   |;   0   &)
%                                         (  28 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   30 (  28 usr;  29 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  28 con; 0-2 aty)
%            Number of variables   :  117 ( 117   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2732,plain,
    $false,
    inference(avatar_sat_refutation,[],[f153,f162,f167,f176,f194,f196,f205,f206,f207,f220,f225,f226,f227,f228,f234,f237,f238,f243,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f255,f257,f258,f259,f260,f261,f263,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f277,f278,f279,f281,f307,f312,f321,f477,f499,f505,f511,f513,f709,f726,f762,f775,f786,f788,f820,f1007,f1041,f1177,f1535,f1671,f1824,f2366,f2374,f2382,f2584,f2645,f2703,f2716,f2731]) ).

fof(f2731,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_17
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(avatar_contradiction_clause,[],[f2730]) ).

fof(f2730,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_17
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(subsumption_resolution,[],[f2725,f2550]) ).

fof(f2550,plain,
    ( identity = inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f2390,f2547]) ).

fof(f2547,plain,
    ( identity = sk_c11
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f2515,f2546]) ).

fof(f2546,plain,
    ( identity = inverse(sk_c11)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2536,f2390]) ).

fof(f2536,plain,
    ( identity = inverse(inverse(identity))
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f305,f2530]) ).

fof(f2530,plain,
    ( identity = sk_c10
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2529,f2]) ).

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

fof(f2529,plain,
    ( sk_c10 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2435,f2510]) ).

fof(f2510,plain,
    ( sk_c11 = sk_c5
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2426,f2418]) ).

fof(f2418,plain,
    ( sk_c11 = sk_c8
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f1067,f2397]) ).

fof(f2397,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f2377,f2394]) ).

fof(f2394,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2393,f1]) ).

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

fof(f2393,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,X0)
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f2383,f751]) ).

fof(f751,plain,
    ( identity = sk_c3
    | ~ spl16_53 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f750,plain,
    ( spl16_53
  <=> identity = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_53])]) ).

fof(f2383,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c10,X0)
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_20 ),
    inference(forward_demodulation,[],[f1217,f2376]) ).

fof(f2376,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18 ),
    inference(backward_demodulation,[],[f1221,f2375]) ).

fof(f2375,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12 ),
    inference(backward_demodulation,[],[f933,f1248]) ).

fof(f1248,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
    | ~ spl16_1
    | ~ spl16_6 ),
    inference(forward_demodulation,[],[f1247,f1]) ).

fof(f1247,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl16_1
    | ~ spl16_6 ),
    inference(superposition,[],[f3,f799]) ).

fof(f799,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl16_1
    | ~ spl16_6 ),
    inference(forward_demodulation,[],[f795,f769]) ).

fof(f769,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl16_6 ),
    inference(backward_demodulation,[],[f84,f171]) ).

fof(f171,plain,
    ( sk_c8 = sF10
    | ~ spl16_6 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl16_6
  <=> sk_c8 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).

fof(f84,plain,
    inverse(sk_c6) = sF10,
    introduced(function_definition,[]) ).

fof(f795,plain,
    ( sk_c7 = multiply(inverse(sk_c6),identity)
    | ~ spl16_1 ),
    inference(backward_demodulation,[],[f388,f148]) ).

fof(f148,plain,
    ( sk_c6 = sF13
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl16_1
  <=> sk_c6 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f388,plain,
    sk_c7 = multiply(inverse(sF13),identity),
    inference(superposition,[],[f346,f292]) ).

fof(f292,plain,
    identity = multiply(sF13,sk_c7),
    inference(superposition,[],[f2,f91]) ).

fof(f91,plain,
    inverse(sk_c7) = sF13,
    introduced(function_definition,[]) ).

fof(f346,plain,
    ! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
    inference(forward_demodulation,[],[f332,f1]) ).

fof(f332,plain,
    ! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
    inference(superposition,[],[f3,f2]) ).

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

fof(f933,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12 ),
    inference(forward_demodulation,[],[f794,f872]) ).

fof(f872,plain,
    ( sk_c5 = sk_c6
    | ~ spl16_6
    | ~ spl16_12 ),
    inference(backward_demodulation,[],[f766,f867]) ).

fof(f867,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl16_12 ),
    inference(backward_demodulation,[],[f385,f200]) ).

fof(f200,plain,
    ( sk_c8 = sF15
    | ~ spl16_12 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f198,plain,
    ( spl16_12
  <=> sk_c8 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).

fof(f385,plain,
    sk_c5 = multiply(inverse(sF15),identity),
    inference(superposition,[],[f346,f291]) ).

fof(f291,plain,
    identity = multiply(sF15,sk_c5),
    inference(superposition,[],[f2,f101]) ).

fof(f101,plain,
    inverse(sk_c5) = sF15,
    introduced(function_definition,[]) ).

fof(f766,plain,
    ( sk_c6 = multiply(inverse(sk_c8),identity)
    | ~ spl16_6 ),
    inference(backward_demodulation,[],[f389,f171]) ).

fof(f389,plain,
    sk_c6 = multiply(inverse(sF10),identity),
    inference(superposition,[],[f346,f293]) ).

fof(f293,plain,
    identity = multiply(sF10,sk_c6),
    inference(superposition,[],[f2,f84]) ).

fof(f794,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl16_1 ),
    inference(backward_demodulation,[],[f358,f148]) ).

fof(f358,plain,
    ! [X0] : multiply(sF13,multiply(sk_c7,X0)) = X0,
    inference(forward_demodulation,[],[f357,f1]) ).

fof(f357,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF13,multiply(sk_c7,X0)),
    inference(superposition,[],[f3,f292]) ).

fof(f1221,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c11,X0)
    | ~ spl16_18 ),
    inference(superposition,[],[f3,f1159]) ).

fof(f1159,plain,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | ~ spl16_18 ),
    inference(backward_demodulation,[],[f98,f224]) ).

fof(f224,plain,
    ( sk_c11 = sF14
    | ~ spl16_18 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl16_18
  <=> sk_c11 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).

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

fof(f1217,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
    | ~ spl16_20 ),
    inference(superposition,[],[f3,f1080]) ).

fof(f1080,plain,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | ~ spl16_20 ),
    inference(backward_demodulation,[],[f69,f242]) ).

fof(f242,plain,
    ( sk_c10 = sF1
    | ~ spl16_20 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl16_20
  <=> sk_c10 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).

fof(f69,plain,
    multiply(sk_c3,sk_c11) = sF1,
    introduced(function_definition,[]) ).

fof(f2377,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c10,X0)) = X0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19 ),
    inference(backward_demodulation,[],[f1214,f2376]) ).

fof(f1214,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c10,X0)) = multiply(sk_c11,X0)
    | ~ spl16_19 ),
    inference(superposition,[],[f3,f1073]) ).

fof(f1073,plain,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | ~ spl16_19 ),
    inference(forward_demodulation,[],[f82,f233]) ).

fof(f233,plain,
    ( sk_c11 = sF9
    | ~ spl16_19 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl16_19
  <=> sk_c11 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).

fof(f82,plain,
    multiply(sk_c8,sk_c10) = sF9,
    introduced(function_definition,[]) ).

fof(f1067,plain,
    ( sk_c8 = multiply(sk_c8,sk_c11)
    | ~ spl16_12
    | ~ spl16_18 ),
    inference(forward_demodulation,[],[f1066,f200]) ).

fof(f1066,plain,
    ( sk_c8 = multiply(sF15,sk_c11)
    | ~ spl16_18 ),
    inference(forward_demodulation,[],[f393,f224]) ).

fof(f393,plain,
    sk_c8 = multiply(sF15,sF14),
    inference(forward_demodulation,[],[f387,f101]) ).

fof(f387,plain,
    sk_c8 = multiply(inverse(sk_c5),sF14),
    inference(superposition,[],[f346,f98]) ).

fof(f2426,plain,
    ( sk_c5 = sk_c8
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f883,f2424]) ).

fof(f2424,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f371,f2419]) ).

fof(f2419,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f879,f2417]) ).

fof(f2417,plain,
    ( identity = sk_c7
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f799,f2397]) ).

fof(f879,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12 ),
    inference(backward_demodulation,[],[f792,f872]) ).

fof(f792,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl16_1 ),
    inference(backward_demodulation,[],[f91,f148]) ).

fof(f371,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f346,f1]) ).

fof(f883,plain,
    ( sk_c8 = multiply(sk_c5,sk_c5)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12 ),
    inference(backward_demodulation,[],[f809,f872]) ).

fof(f809,plain,
    ( sk_c8 = multiply(sk_c6,sk_c6)
    | ~ spl16_1
    | ~ spl16_5 ),
    inference(backward_demodulation,[],[f796,f166]) ).

fof(f166,plain,
    ( sk_c6 = sF7
    | ~ spl16_5 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f164,plain,
    ( spl16_5
  <=> sk_c6 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).

fof(f796,plain,
    ( sk_c8 = multiply(sk_c6,sF7)
    | ~ spl16_1 ),
    inference(backward_demodulation,[],[f398,f148]) ).

fof(f398,plain,
    sk_c8 = multiply(sF13,sF7),
    inference(forward_demodulation,[],[f386,f91]) ).

fof(f386,plain,
    sk_c8 = multiply(inverse(sk_c7),sF7),
    inference(superposition,[],[f346,f78]) ).

fof(f78,plain,
    multiply(sk_c7,sk_c8) = sF7,
    introduced(function_definition,[]) ).

fof(f2435,plain,
    ( sk_c10 = multiply(inverse(sk_c5),sk_c11)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f1160,f2426]) ).

fof(f1160,plain,
    ( sk_c10 = multiply(inverse(sk_c8),sk_c11)
    | ~ spl16_19 ),
    inference(backward_demodulation,[],[f378,f233]) ).

fof(f378,plain,
    sk_c10 = multiply(inverse(sk_c8),sF9),
    inference(superposition,[],[f346,f82]) ).

fof(f305,plain,
    ( sk_c10 = inverse(inverse(sk_c10))
    | ~ spl16_22 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f304,plain,
    ( spl16_22
  <=> sk_c10 = inverse(inverse(sk_c10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).

fof(f2515,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f2432,f2510]) ).

fof(f2432,plain,
    ( sk_c5 = inverse(sk_c5)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f878,f2426]) ).

fof(f878,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl16_6
    | ~ spl16_12 ),
    inference(backward_demodulation,[],[f769,f872]) ).

fof(f2390,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl16_4
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f1075,f751]) ).

fof(f1075,plain,
    ( sk_c11 = inverse(sk_c3)
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f75,f161]) ).

fof(f161,plain,
    ( sk_c11 = sF5
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl16_4
  <=> sk_c11 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).

fof(f75,plain,
    inverse(sk_c3) = sF5,
    introduced(function_definition,[]) ).

fof(f2725,plain,
    ( identity != inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_17
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(trivial_inequality_removal,[],[f2720]) ).

fof(f2720,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_17
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(superposition,[],[f2719,f1]) ).

fof(f2719,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_17
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2718,f2530]) ).

fof(f2718,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_17
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2717,f2547]) ).

fof(f2717,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(X5,sk_c11)
        | identity != inverse(X5) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_17
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f219,f2547]) ).

fof(f219,plain,
    ( ! [X5] :
        ( sk_c11 != inverse(X5)
        | sk_c10 != multiply(X5,sk_c11) )
    | ~ spl16_17 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl16_17
  <=> ! [X5] :
        ( sk_c11 != inverse(X5)
        | sk_c10 != multiply(X5,sk_c11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).

fof(f2716,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(avatar_contradiction_clause,[],[f2715]) ).

fof(f2715,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(subsumption_resolution,[],[f2714,f1]) ).

fof(f2714,plain,
    ( identity != multiply(identity,identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2710,f2550]) ).

fof(f2710,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_53 ),
    inference(trivial_inequality_removal,[],[f2709]) ).

fof(f2709,plain,
    ( identity != multiply(identity,inverse(identity))
    | identity != identity
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_53 ),
    inference(superposition,[],[f2706,f2]) ).

fof(f2706,plain,
    ( ! [X3] :
        ( identity != multiply(inverse(X3),identity)
        | identity != multiply(X3,inverse(X3)) )
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2705,f2530]) ).

fof(f2705,plain,
    ( ! [X3] :
        ( sk_c10 != multiply(inverse(X3),identity)
        | identity != multiply(X3,inverse(X3)) )
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2704,f2530]) ).

fof(f2704,plain,
    ( ! [X3] :
        ( sk_c10 != multiply(X3,inverse(X3))
        | sk_c10 != multiply(inverse(X3),identity) )
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f216,f301]) ).

fof(f301,plain,
    ( identity = sk_c9
    | ~ spl16_21 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f300,plain,
    ( spl16_21
  <=> identity = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).

fof(f216,plain,
    ( ! [X3] :
        ( sk_c10 != multiply(inverse(X3),sk_c9)
        | sk_c10 != multiply(X3,inverse(X3)) )
    | ~ spl16_16 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl16_16
  <=> ! [X3] :
        ( sk_c10 != multiply(inverse(X3),sk_c9)
        | sk_c10 != multiply(X3,inverse(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).

fof(f2703,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(avatar_contradiction_clause,[],[f2702]) ).

fof(f2702,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(subsumption_resolution,[],[f2701,f2550]) ).

fof(f2701,plain,
    ( identity != inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2700,f2550]) ).

fof(f2700,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(subsumption_resolution,[],[f2690,f2550]) ).

fof(f2690,plain,
    ( identity != inverse(inverse(identity))
    | identity != inverse(identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(superposition,[],[f2682,f1]) ).

fof(f2682,plain,
    ( ! [X0] :
        ( inverse(X0) != multiply(X0,identity)
        | identity != inverse(inverse(X0)) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(subsumption_resolution,[],[f2668,f1]) ).

fof(f2668,plain,
    ( ! [X0] :
        ( identity != multiply(identity,identity)
        | identity != inverse(inverse(X0))
        | inverse(X0) != multiply(X0,identity) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(duplicate_literal_removal,[],[f2663]) ).

fof(f2663,plain,
    ( ! [X0] :
        ( identity != inverse(inverse(X0))
        | identity != multiply(identity,identity)
        | identity != multiply(identity,identity)
        | inverse(X0) != multiply(X0,identity) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(superposition,[],[f2655,f2550]) ).

fof(f2655,plain,
    ( ! [X9,X7] :
        ( inverse(X9) != multiply(X9,inverse(X7))
        | identity != multiply(X7,inverse(X7))
        | identity != multiply(inverse(X7),identity)
        | inverse(X7) != inverse(inverse(X9)) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2654,f2547]) ).

fof(f2654,plain,
    ( ! [X9,X7] :
        ( inverse(X7) != inverse(inverse(X9))
        | identity != multiply(X7,inverse(X7))
        | sk_c11 != multiply(inverse(X7),identity)
        | inverse(X9) != multiply(X9,inverse(X7)) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2653,f2530]) ).

fof(f2653,plain,
    ( ! [X9,X7] :
        ( identity != multiply(X7,inverse(X7))
        | sk_c11 != multiply(inverse(X7),sk_c10)
        | inverse(X7) != inverse(inverse(X9))
        | inverse(X9) != multiply(X9,inverse(X7)) )
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f213,f2547]) ).

fof(f213,plain,
    ( ! [X9,X7] :
        ( inverse(X9) != multiply(X9,inverse(X7))
        | sk_c11 != multiply(X7,inverse(X7))
        | inverse(X7) != inverse(inverse(X9))
        | sk_c11 != multiply(inverse(X7),sk_c10) )
    | ~ spl16_15 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f212,plain,
    ( spl16_15
  <=> ! [X9,X7] :
        ( sk_c11 != multiply(X7,inverse(X7))
        | inverse(X7) != inverse(inverse(X9))
        | sk_c11 != multiply(inverse(X7),sk_c10)
        | inverse(X9) != multiply(X9,inverse(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).

fof(f2645,plain,
    ( spl16_21
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(avatar_split_clause,[],[f2590,f750,f240,f231,f222,f198,f191,f182,f169,f164,f146,f300]) ).

fof(f182,plain,
    ( spl16_9
  <=> sk_c9 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).

fof(f191,plain,
    ( spl16_11
  <=> sk_c10 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).

fof(f2590,plain,
    ( identity = sk_c9
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2589,f1]) ).

fof(f2589,plain,
    ( sk_c9 = multiply(identity,identity)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2544,f2569]) ).

fof(f2569,plain,
    ( identity = sk_c4
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_11
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f2539,f2]) ).

fof(f2539,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_11
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f1055,f2530]) ).

fof(f1055,plain,
    ( sk_c4 = multiply(inverse(sk_c10),identity)
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f381,f193]) ).

fof(f193,plain,
    ( sk_c10 = sF2
    | ~ spl16_11 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f381,plain,
    sk_c4 = multiply(inverse(sF2),identity),
    inference(superposition,[],[f346,f290]) ).

fof(f290,plain,
    identity = multiply(sF2,sk_c4),
    inference(superposition,[],[f2,f71]) ).

fof(f71,plain,
    inverse(sk_c4) = sF2,
    introduced(function_definition,[]) ).

fof(f2544,plain,
    ( sk_c9 = multiply(sk_c4,identity)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_9
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f2503,f2530]) ).

fof(f2503,plain,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | ~ spl16_9 ),
    inference(forward_demodulation,[],[f89,f184]) ).

fof(f184,plain,
    ( sk_c9 = sF12
    | ~ spl16_9 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f89,plain,
    multiply(sk_c4,sk_c10) = sF12,
    introduced(function_definition,[]) ).

fof(f2584,plain,
    ( ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_11
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | spl16_34
    | ~ spl16_53 ),
    inference(avatar_contradiction_clause,[],[f2583]) ).

fof(f2583,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_11
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | spl16_34
    | ~ spl16_53 ),
    inference(subsumption_resolution,[],[f2542,f1]) ).

fof(f2542,plain,
    ( identity != multiply(identity,identity)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_11
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | spl16_34
    | ~ spl16_53 ),
    inference(backward_demodulation,[],[f2388,f2530]) ).

fof(f2388,plain,
    ( identity != multiply(sk_c10,identity)
    | ~ spl16_11
    | spl16_34 ),
    inference(forward_demodulation,[],[f574,f193]) ).

fof(f574,plain,
    ( identity != multiply(sF2,identity)
    | spl16_34 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl16_34
  <=> identity = multiply(sF2,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_34])]) ).

fof(f2382,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | spl16_53 ),
    inference(avatar_contradiction_clause,[],[f2381]) ).

fof(f2381,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | spl16_53 ),
    inference(subsumption_resolution,[],[f2380,f752]) ).

fof(f752,plain,
    ( identity != sk_c3
    | spl16_53 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f2380,plain,
    ( identity = sk_c3
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18 ),
    inference(backward_demodulation,[],[f1168,f2379]) ).

fof(f2379,plain,
    ( ! [X0] : multiply(sF0,X0) = X0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18 ),
    inference(forward_demodulation,[],[f1185,f2376]) ).

fof(f1185,plain,
    ! [X0] : multiply(sF0,multiply(sk_c11,X0)) = X0,
    inference(superposition,[],[f346,f68]) ).

fof(f68,plain,
    inverse(sk_c11) = sF0,
    introduced(function_definition,[]) ).

fof(f1168,plain,
    ( sk_c3 = multiply(sF0,identity)
    | ~ spl16_4 ),
    inference(forward_demodulation,[],[f1167,f68]) ).

fof(f1167,plain,
    ( sk_c3 = multiply(inverse(sk_c11),identity)
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f380,f161]) ).

fof(f380,plain,
    sk_c3 = multiply(inverse(sF5),identity),
    inference(superposition,[],[f346,f289]) ).

fof(f289,plain,
    identity = multiply(sF5,sk_c3),
    inference(superposition,[],[f2,f75]) ).

fof(f2374,plain,
    ( ~ spl16_9
    | ~ spl16_11
    | ~ spl16_21
    | spl16_25
    | ~ spl16_34 ),
    inference(avatar_contradiction_clause,[],[f2373]) ).

fof(f2373,plain,
    ( $false
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_21
    | spl16_25
    | ~ spl16_34 ),
    inference(subsumption_resolution,[],[f2372,f2184]) ).

fof(f2184,plain,
    ( identity != sk_c10
    | ~ spl16_21
    | spl16_25 ),
    inference(forward_demodulation,[],[f320,f301]) ).

fof(f320,plain,
    ( sk_c10 != sk_c9
    | spl16_25 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f318,plain,
    ( spl16_25
  <=> sk_c10 = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_25])]) ).

fof(f2372,plain,
    ( identity = sk_c10
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_34 ),
    inference(backward_demodulation,[],[f1057,f2351]) ).

fof(f2351,plain,
    ( identity = multiply(sk_c10,identity)
    | ~ spl16_11
    | ~ spl16_34 ),
    inference(backward_demodulation,[],[f573,f193]) ).

fof(f573,plain,
    ( identity = multiply(sF2,identity)
    | ~ spl16_34 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f1057,plain,
    ( sk_c10 = multiply(sk_c10,identity)
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_21 ),
    inference(backward_demodulation,[],[f952,f193]) ).

fof(f952,plain,
    ( sk_c10 = multiply(sF2,identity)
    | ~ spl16_9
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f396,f917]) ).

fof(f917,plain,
    ( identity = sF12
    | ~ spl16_9
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f184,f301]) ).

fof(f396,plain,
    sk_c10 = multiply(sF2,sF12),
    inference(forward_demodulation,[],[f379,f71]) ).

fof(f379,plain,
    sk_c10 = multiply(inverse(sk_c4),sF12),
    inference(superposition,[],[f346,f89]) ).

fof(f2366,plain,
    ( ~ spl16_1
    | spl16_3
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(avatar_contradiction_clause,[],[f2365]) ).

fof(f2365,plain,
    ( $false
    | ~ spl16_1
    | spl16_3
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(subsumption_resolution,[],[f2364,f2280]) ).

fof(f2280,plain,
    ( identity != sF0
    | ~ spl16_1
    | spl16_3
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f2233,f2272]) ).

fof(f2272,plain,
    ( identity = sk_c11
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f2271,f2]) ).

fof(f2271,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f2242,f2248]) ).

fof(f2248,plain,
    ( sk_c11 = sk_c8
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f1067,f2240]) ).

fof(f2240,plain,
    ( sk_c11 = multiply(sk_c8,sk_c11)
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f1073,f2231]) ).

fof(f2231,plain,
    ( sk_c11 = sk_c10
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f1080,f2226]) ).

fof(f2226,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f2211,f2223]) ).

fof(f2223,plain,
    ( ! [X15] : multiply(sk_c11,X15) = X15
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f2215,f2222]) ).

fof(f2222,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_19
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f933,f2214]) ).

fof(f2214,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c11,X0)
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_19
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f1248,f2210]) ).

fof(f2210,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c11,X0)
    | ~ spl16_19
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f1214,f2207]) ).

fof(f2207,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f371,f315]) ).

fof(f315,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl16_24 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f314,plain,
    ( spl16_24
  <=> sk_c10 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).

fof(f2215,plain,
    ( ! [X15] : multiply(sk_c5,multiply(sk_c11,X15)) = multiply(sk_c11,X15)
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f1072,f2210]) ).

fof(f1072,plain,
    ( ! [X15] : multiply(sk_c5,multiply(sk_c8,X15)) = multiply(sk_c11,X15)
    | ~ spl16_18 ),
    inference(forward_demodulation,[],[f341,f224]) ).

fof(f341,plain,
    ! [X15] : multiply(sk_c5,multiply(sk_c8,X15)) = multiply(sF14,X15),
    inference(superposition,[],[f3,f98]) ).

fof(f2211,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = X0
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f1217,f2207]) ).

fof(f2242,plain,
    ( sk_c11 = multiply(inverse(sk_c8),sk_c11)
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f1160,f2231]) ).

fof(f2233,plain,
    ( sk_c11 != sF0
    | ~ spl16_1
    | spl16_3
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f156,f2231]) ).

fof(f156,plain,
    ( sk_c10 != sF0
    | spl16_3 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl16_3
  <=> sk_c10 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

fof(f2364,plain,
    ( identity = sF0
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f2363,f2291]) ).

fof(f2291,plain,
    ( identity = inverse(identity)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f2267,f2272]) ).

fof(f2267,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f2257,f2260]) ).

fof(f2260,plain,
    ( sk_c11 = sk_c5
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f2259,f1]) ).

fof(f2259,plain,
    ( sk_c5 = multiply(identity,sk_c11)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f2253,f2256]) ).

fof(f2256,plain,
    ( identity = sk_c7
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f2249,f2223]) ).

fof(f2249,plain,
    ( sk_c7 = multiply(sk_c11,identity)
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f799,f2248]) ).

fof(f2253,plain,
    ( sk_c5 = multiply(sk_c7,sk_c11)
    | ~ spl16_1
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f887,f2248]) ).

fof(f887,plain,
    ( sk_c5 = multiply(sk_c7,sk_c8)
    | ~ spl16_5
    | ~ spl16_6
    | ~ spl16_12 ),
    inference(backward_demodulation,[],[f813,f872]) ).

fof(f813,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl16_5 ),
    inference(backward_demodulation,[],[f78,f166]) ).

fof(f2257,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f879,f2256]) ).

fof(f2363,plain,
    ( inverse(identity) = sF0
    | ~ spl16_1
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_18
    | ~ spl16_19
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f68,f2272]) ).

fof(f1824,plain,
    ( ~ spl16_4
    | spl16_10
    | ~ spl16_21
    | ~ spl16_25
    | ~ spl16_54 ),
    inference(avatar_contradiction_clause,[],[f1823]) ).

fof(f1823,plain,
    ( $false
    | ~ spl16_4
    | spl16_10
    | ~ spl16_21
    | ~ spl16_25
    | ~ spl16_54 ),
    inference(subsumption_resolution,[],[f1822,f1628]) ).

fof(f1628,plain,
    ( identity != sF3
    | spl16_10
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f188,f1375]) ).

fof(f1375,plain,
    ( identity = sk_c10
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f319,f301]) ).

fof(f319,plain,
    ( sk_c10 = sk_c9
    | ~ spl16_25 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f188,plain,
    ( sk_c10 != sF3
    | spl16_10 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl16_10
  <=> sk_c10 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).

fof(f1822,plain,
    ( identity = sF3
    | ~ spl16_4
    | ~ spl16_21
    | ~ spl16_54 ),
    inference(forward_demodulation,[],[f1821,f1]) ).

fof(f1821,plain,
    ( multiply(identity,identity) = sF3
    | ~ spl16_4
    | ~ spl16_21
    | ~ spl16_54 ),
    inference(forward_demodulation,[],[f1475,f1754]) ).

fof(f1754,plain,
    ( identity = sk_c11
    | ~ spl16_4
    | ~ spl16_54 ),
    inference(forward_demodulation,[],[f1075,f755]) ).

fof(f755,plain,
    ( identity = inverse(sk_c3)
    | ~ spl16_54 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl16_54
  <=> identity = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_54])]) ).

fof(f1475,plain,
    ( multiply(sk_c11,identity) = sF3
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f72,f301]) ).

fof(f72,plain,
    multiply(sk_c11,sk_c9) = sF3,
    introduced(function_definition,[]) ).

fof(f1671,plain,
    ( ~ spl16_4
    | spl16_10
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_23
    | ~ spl16_25
    | ~ spl16_53 ),
    inference(avatar_contradiction_clause,[],[f1670]) ).

fof(f1670,plain,
    ( $false
    | ~ spl16_4
    | spl16_10
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_23
    | ~ spl16_25
    | ~ spl16_53 ),
    inference(subsumption_resolution,[],[f1669,f1628]) ).

fof(f1669,plain,
    ( identity = sF3
    | ~ spl16_4
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_23
    | ~ spl16_25
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f1668,f1]) ).

fof(f1668,plain,
    ( multiply(identity,identity) = sF3
    | ~ spl16_4
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_23
    | ~ spl16_25
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f1475,f1551]) ).

fof(f1551,plain,
    ( identity = sk_c11
    | ~ spl16_4
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_23
    | ~ spl16_25
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f1550,f1395]) ).

fof(f1395,plain,
    ( identity = inverse(identity)
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_23
    | ~ spl16_25 ),
    inference(backward_demodulation,[],[f1382,f1393]) ).

fof(f1393,plain,
    ( identity = sk_c4
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f1384,f2]) ).

fof(f1384,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(backward_demodulation,[],[f1055,f1375]) ).

fof(f1382,plain,
    ( identity = inverse(sk_c4)
    | ~ spl16_21
    | ~ spl16_23
    | ~ spl16_25 ),
    inference(backward_demodulation,[],[f310,f1375]) ).

fof(f310,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl16_23 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f309,plain,
    ( spl16_23
  <=> sk_c10 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_23])]) ).

fof(f1550,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl16_4
    | ~ spl16_53 ),
    inference(forward_demodulation,[],[f1075,f751]) ).

fof(f1535,plain,
    ( ~ spl16_11
    | ~ spl16_21
    | ~ spl16_23
    | spl16_24
    | ~ spl16_25 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_23
    | spl16_24
    | ~ spl16_25 ),
    inference(subsumption_resolution,[],[f1533,f1375]) ).

fof(f1533,plain,
    ( identity != sk_c10
    | ~ spl16_11
    | ~ spl16_21
    | ~ spl16_23
    | spl16_24
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f316,f1395]) ).

fof(f316,plain,
    ( sk_c10 != inverse(identity)
    | spl16_24 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f1177,plain,
    ( spl16_23
    | ~ spl16_11 ),
    inference(avatar_split_clause,[],[f1059,f191,f309]) ).

fof(f1059,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f71,f193]) ).

fof(f1041,plain,
    ( ~ spl16_3
    | ~ spl16_4
    | ~ spl16_10
    | ~ spl16_20
    | ~ spl16_21
    | spl16_22
    | ~ spl16_25 ),
    inference(avatar_contradiction_clause,[],[f1040]) ).

fof(f1040,plain,
    ( $false
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_10
    | ~ spl16_20
    | ~ spl16_21
    | spl16_22
    | ~ spl16_25 ),
    inference(subsumption_resolution,[],[f1039,f959]) ).

fof(f959,plain,
    ( identity = inverse(identity)
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_10
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f958,f940]) ).

fof(f940,plain,
    ( identity = sk_c11
    | ~ spl16_4
    | ~ spl16_10
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f936,f921]) ).

fof(f921,plain,
    ( ! [X11] : multiply(sk_c11,X11) = X11
    | ~ spl16_10
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f920,f1]) ).

fof(f920,plain,
    ( ! [X11] : multiply(identity,X11) = multiply(sk_c11,X11)
    | ~ spl16_10
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f919,f514]) ).

fof(f514,plain,
    ( identity = sk_c10
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f319,f301]) ).

fof(f919,plain,
    ( ! [X11] : multiply(sk_c10,X11) = multiply(sk_c11,X11)
    | ~ spl16_10
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f918,f1]) ).

fof(f918,plain,
    ( ! [X11] : multiply(sk_c10,X11) = multiply(sk_c11,multiply(identity,X11))
    | ~ spl16_10
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f337,f301]) ).

fof(f337,plain,
    ( ! [X11] : multiply(sk_c10,X11) = multiply(sk_c11,multiply(sk_c9,X11))
    | ~ spl16_10 ),
    inference(superposition,[],[f3,f282]) ).

fof(f282,plain,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | ~ spl16_10 ),
    inference(backward_demodulation,[],[f72,f189]) ).

fof(f189,plain,
    ( sk_c10 = sF3
    | ~ spl16_10 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f936,plain,
    ( sk_c11 = multiply(sk_c11,identity)
    | ~ spl16_4
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(backward_demodulation,[],[f931,f161]) ).

fof(f931,plain,
    ( sk_c11 = multiply(sF5,identity)
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f397,f925]) ).

fof(f925,plain,
    ( identity = sF1
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f242,f514]) ).

fof(f397,plain,
    sk_c11 = multiply(sF5,sF1),
    inference(forward_demodulation,[],[f376,f75]) ).

fof(f376,plain,
    sk_c11 = multiply(inverse(sk_c3),sF1),
    inference(superposition,[],[f346,f69]) ).

fof(f958,plain,
    ( identity = inverse(sk_c11)
    | ~ spl16_3
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f287,f514]) ).

fof(f287,plain,
    ( inverse(sk_c11) = sk_c10
    | ~ spl16_3 ),
    inference(backward_demodulation,[],[f68,f157]) ).

fof(f157,plain,
    ( sk_c10 = sF0
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f1039,plain,
    ( identity != inverse(identity)
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_10
    | ~ spl16_20
    | ~ spl16_21
    | spl16_22
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f1038,f959]) ).

fof(f1038,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_21
    | spl16_22
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f306,f514]) ).

fof(f306,plain,
    ( sk_c10 != inverse(inverse(sk_c10))
    | spl16_22 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f1007,plain,
    ( ~ spl16_4
    | spl16_7
    | ~ spl16_10
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(avatar_contradiction_clause,[],[f1006]) ).

fof(f1006,plain,
    ( $false
    | ~ spl16_4
    | spl16_7
    | ~ spl16_10
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(subsumption_resolution,[],[f1005,f990]) ).

fof(f990,plain,
    ( identity != sF11
    | ~ spl16_4
    | spl16_7
    | ~ spl16_10
    | ~ spl16_20
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f174,f940]) ).

fof(f174,plain,
    ( sk_c11 != sF11
    | spl16_7 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl16_7
  <=> sk_c11 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).

fof(f1005,plain,
    ( identity = sF11
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f1004,f1]) ).

fof(f1004,plain,
    ( multiply(identity,identity) = sF11
    | ~ spl16_21
    | ~ spl16_25 ),
    inference(forward_demodulation,[],[f771,f514]) ).

fof(f771,plain,
    ( multiply(sk_c10,identity) = sF11
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f87,f301]) ).

fof(f87,plain,
    multiply(sk_c10,sk_c9) = sF11,
    introduced(function_definition,[]) ).

fof(f820,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_13
    | spl16_24 ),
    inference(avatar_contradiction_clause,[],[f819]) ).

fof(f819,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_13
    | spl16_24 ),
    inference(subsumption_resolution,[],[f818,f789]) ).

fof(f789,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_13
    | spl16_24 ),
    inference(forward_demodulation,[],[f316,f403]) ).

fof(f403,plain,
    ( identity = sk_c10
    | ~ spl16_2
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f401,f2]) ).

fof(f401,plain,
    ( sk_c10 = multiply(inverse(sk_c2),sk_c2)
    | ~ spl16_2
    | ~ spl16_13 ),
    inference(superposition,[],[f346,f394]) ).

fof(f394,plain,
    ( sk_c2 = multiply(sk_c2,sk_c10)
    | ~ spl16_2
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f391,f285]) ).

fof(f285,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ spl16_2 ),
    inference(backward_demodulation,[],[f74,f152]) ).

fof(f152,plain,
    ( sk_c2 = sF4
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl16_2
  <=> sk_c2 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

fof(f74,plain,
    inverse(sk_c1) = sF4,
    introduced(function_definition,[]) ).

fof(f391,plain,
    ( sk_c2 = multiply(inverse(sk_c1),sk_c10)
    | ~ spl16_13 ),
    inference(superposition,[],[f346,f286]) ).

fof(f286,plain,
    ( sk_c10 = multiply(sk_c1,sk_c2)
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f80,f204]) ).

fof(f204,plain,
    ( sk_c10 = sF8
    | ~ spl16_13 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl16_13
  <=> sk_c10 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).

fof(f80,plain,
    multiply(sk_c1,sk_c2) = sF8,
    introduced(function_definition,[]) ).

fof(f818,plain,
    ( identity = inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f415,f500]) ).

fof(f500,plain,
    ( identity = sk_c11
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f429,f2]) ).

fof(f429,plain,
    ( sk_c11 = multiply(inverse(identity),identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f377,f403]) ).

fof(f377,plain,
    ( sk_c11 = multiply(inverse(sk_c10),identity)
    | ~ spl16_3 ),
    inference(superposition,[],[f346,f288]) ).

fof(f288,plain,
    ( identity = multiply(sk_c10,sk_c11)
    | ~ spl16_3 ),
    inference(superposition,[],[f2,f287]) ).

fof(f415,plain,
    ( identity = inverse(sk_c11)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f287,f403]) ).

fof(f788,plain,
    ( spl16_53
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_13 ),
    inference(avatar_split_clause,[],[f787,f202,f159,f155,f150,f750]) ).

fof(f787,plain,
    ( identity = sk_c3
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f780,f2]) ).

fof(f780,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f380,f778]) ).

fof(f778,plain,
    ( identity = sF5
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f161,f500]) ).

fof(f786,plain,
    ( spl16_54
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_13 ),
    inference(avatar_split_clause,[],[f783,f202,f159,f155,f150,f754]) ).

fof(f783,plain,
    ( identity = inverse(sk_c3)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f75,f778]) ).

fof(f775,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | spl16_7
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(avatar_contradiction_clause,[],[f774]) ).

fof(f774,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | spl16_7
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(subsumption_resolution,[],[f773,f770]) ).

fof(f770,plain,
    ( identity != sF11
    | ~ spl16_2
    | ~ spl16_3
    | spl16_7
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f174,f500]) ).

fof(f773,plain,
    ( identity = sF11
    | ~ spl16_2
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f772,f1]) ).

fof(f772,plain,
    ( multiply(identity,identity) = sF11
    | ~ spl16_2
    | ~ spl16_13
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f771,f403]) ).

fof(f762,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(avatar_contradiction_clause,[],[f761]) ).

fof(f761,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(subsumption_resolution,[],[f737,f470]) ).

fof(f470,plain,
    ( identity = inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f415,f466]) ).

fof(f466,plain,
    ( identity = sk_c11
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f465,f2]) ).

fof(f465,plain,
    ( sk_c11 = multiply(inverse(identity),identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f453,f462]) ).

fof(f462,plain,
    ( identity = sk_c2
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f458,f415]) ).

fof(f458,plain,
    ( inverse(sk_c11) = sk_c2
    | ~ spl16_2
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f442,f450]) ).

fof(f450,plain,
    ( sk_c11 = sk_c9
    | ~ spl16_2
    | ~ spl16_7
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f431,f371]) ).

fof(f431,plain,
    ( sk_c9 = multiply(inverse(identity),sk_c11)
    | ~ spl16_2
    | ~ spl16_7
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f383,f403]) ).

fof(f383,plain,
    ( sk_c9 = multiply(inverse(sk_c10),sk_c11)
    | ~ spl16_7 ),
    inference(superposition,[],[f346,f283]) ).

fof(f283,plain,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | ~ spl16_7 ),
    inference(backward_demodulation,[],[f87,f175]) ).

fof(f175,plain,
    ( sk_c11 = sF11
    | ~ spl16_7 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f442,plain,
    ( sk_c2 = inverse(sk_c9)
    | ~ spl16_2
    | ~ spl16_8
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f285,f439]) ).

fof(f439,plain,
    ( sk_c9 = sk_c1
    | ~ spl16_2
    | ~ spl16_8
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f390,f432]) ).

fof(f432,plain,
    ( sk_c9 = multiply(inverse(sk_c2),identity)
    | ~ spl16_2
    | ~ spl16_8
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f384,f403]) ).

fof(f384,plain,
    ( sk_c9 = multiply(inverse(sk_c2),sk_c10)
    | ~ spl16_8 ),
    inference(superposition,[],[f346,f284]) ).

fof(f284,plain,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | ~ spl16_8 ),
    inference(backward_demodulation,[],[f77,f180]) ).

fof(f180,plain,
    ( sk_c10 = sF6
    | ~ spl16_8 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f178,plain,
    ( spl16_8
  <=> sk_c10 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).

fof(f77,plain,
    multiply(sk_c2,sk_c9) = sF6,
    introduced(function_definition,[]) ).

fof(f390,plain,
    ( sk_c1 = multiply(inverse(sk_c2),identity)
    | ~ spl16_2 ),
    inference(superposition,[],[f346,f294]) ).

fof(f294,plain,
    ( identity = multiply(sk_c2,sk_c1)
    | ~ spl16_2 ),
    inference(superposition,[],[f2,f285]) ).

fof(f453,plain,
    ( sk_c11 = multiply(inverse(sk_c2),identity)
    | ~ spl16_2
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f432,f450]) ).

fof(f737,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(trivial_inequality_removal,[],[f733]) ).

fof(f733,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(superposition,[],[f729,f1]) ).

fof(f729,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(forward_demodulation,[],[f728,f403]) ).

fof(f728,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c10 != multiply(X5,identity) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(forward_demodulation,[],[f727,f466]) ).

fof(f727,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(X5,sk_c11)
        | identity != inverse(X5) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(forward_demodulation,[],[f219,f466]) ).

fof(f726,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(avatar_contradiction_clause,[],[f725]) ).

fof(f725,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(subsumption_resolution,[],[f720,f1]) ).

fof(f720,plain,
    ( identity != multiply(identity,identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(duplicate_literal_removal,[],[f713]) ).

fof(f713,plain,
    ( identity != multiply(identity,identity)
    | identity != multiply(identity,identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(superposition,[],[f712,f470]) ).

fof(f712,plain,
    ( ! [X3] :
        ( identity != multiply(inverse(X3),identity)
        | identity != multiply(X3,inverse(X3)) )
    | ~ spl16_2
    | ~ spl16_13
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f711,f403]) ).

fof(f711,plain,
    ( ! [X3] :
        ( sk_c10 != multiply(X3,inverse(X3))
        | identity != multiply(inverse(X3),identity) )
    | ~ spl16_2
    | ~ spl16_13
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f710,f403]) ).

fof(f710,plain,
    ( ! [X3] :
        ( sk_c10 != multiply(inverse(X3),identity)
        | sk_c10 != multiply(X3,inverse(X3)) )
    | ~ spl16_16
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f216,f301]) ).

fof(f709,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(avatar_contradiction_clause,[],[f708]) ).

fof(f708,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(subsumption_resolution,[],[f707,f470]) ).

fof(f707,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(forward_demodulation,[],[f706,f470]) ).

fof(f706,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(forward_demodulation,[],[f705,f470]) ).

fof(f705,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(subsumption_resolution,[],[f704,f470]) ).

fof(f704,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(forward_demodulation,[],[f656,f470]) ).

fof(f656,plain,
    ( identity != inverse(inverse(identity))
    | identity != inverse(inverse(inverse(identity)))
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(superposition,[],[f595,f2]) ).

fof(f595,plain,
    ( ! [X0] :
        ( inverse(X0) != multiply(X0,identity)
        | identity != inverse(inverse(X0)) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(subsumption_resolution,[],[f543,f1]) ).

fof(f543,plain,
    ( ! [X0] :
        ( identity != inverse(inverse(X0))
        | identity != multiply(identity,identity)
        | inverse(X0) != multiply(X0,identity) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(duplicate_literal_removal,[],[f534]) ).

fof(f534,plain,
    ( ! [X0] :
        ( identity != multiply(identity,identity)
        | identity != multiply(identity,identity)
        | identity != inverse(inverse(X0))
        | inverse(X0) != multiply(X0,identity) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(superposition,[],[f517,f470]) ).

fof(f517,plain,
    ( ! [X9,X7] :
        ( inverse(X9) != multiply(X9,inverse(X7))
        | identity != multiply(inverse(X7),identity)
        | inverse(X7) != inverse(inverse(X9))
        | identity != multiply(X7,inverse(X7)) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(forward_demodulation,[],[f516,f466]) ).

fof(f516,plain,
    ( ! [X9,X7] :
        ( sk_c11 != multiply(inverse(X7),identity)
        | inverse(X9) != multiply(X9,inverse(X7))
        | inverse(X7) != inverse(inverse(X9))
        | identity != multiply(X7,inverse(X7)) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(forward_demodulation,[],[f515,f403]) ).

fof(f515,plain,
    ( ! [X9,X7] :
        ( sk_c11 != multiply(inverse(X7),sk_c10)
        | inverse(X7) != inverse(inverse(X9))
        | identity != multiply(X7,inverse(X7))
        | inverse(X9) != multiply(X9,inverse(X7)) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_15 ),
    inference(forward_demodulation,[],[f213,f466]) ).

fof(f513,plain,
    ( ~ spl16_2
    | ~ spl16_13
    | ~ spl16_21
    | spl16_25 ),
    inference(avatar_contradiction_clause,[],[f512]) ).

fof(f512,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_13
    | ~ spl16_21
    | spl16_25 ),
    inference(subsumption_resolution,[],[f417,f301]) ).

fof(f417,plain,
    ( identity != sk_c9
    | ~ spl16_2
    | ~ spl16_13
    | spl16_25 ),
    inference(backward_demodulation,[],[f320,f403]) ).

fof(f511,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | spl16_22 ),
    inference(avatar_contradiction_clause,[],[f510]) ).

fof(f510,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | spl16_22 ),
    inference(subsumption_resolution,[],[f509,f470]) ).

fof(f509,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | spl16_22 ),
    inference(forward_demodulation,[],[f508,f470]) ).

fof(f508,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_2
    | ~ spl16_13
    | spl16_22 ),
    inference(forward_demodulation,[],[f306,f403]) ).

fof(f505,plain,
    ( ~ spl16_21
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_14 ),
    inference(avatar_split_clause,[],[f504,f209,f202,f178,f173,f155,f150,f300]) ).

fof(f209,plain,
    ( spl16_14
  <=> ! [X6] :
        ( sk_c10 != inverse(X6)
        | sk_c9 != multiply(X6,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).

fof(f504,plain,
    ( identity != sk_c9
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_14 ),
    inference(forward_demodulation,[],[f503,f462]) ).

fof(f503,plain,
    ( sk_c9 != sk_c2
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_14 ),
    inference(subsumption_resolution,[],[f502,f403]) ).

fof(f502,plain,
    ( identity != sk_c10
    | sk_c9 != sk_c2
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_14 ),
    inference(forward_demodulation,[],[f501,f470]) ).

fof(f501,plain,
    ( sk_c10 != inverse(identity)
    | sk_c9 != sk_c2
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | ~ spl16_14 ),
    inference(forward_demodulation,[],[f400,f462]) ).

fof(f400,plain,
    ( sk_c10 != inverse(sk_c2)
    | sk_c9 != sk_c2
    | ~ spl16_2
    | ~ spl16_13
    | ~ spl16_14 ),
    inference(superposition,[],[f210,f394]) ).

fof(f210,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) )
    | ~ spl16_14 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f499,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_10
    | ~ spl16_13
    | spl16_21 ),
    inference(avatar_contradiction_clause,[],[f498]) ).

fof(f498,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_10
    | ~ spl16_13
    | spl16_21 ),
    inference(subsumption_resolution,[],[f497,f302]) ).

fof(f302,plain,
    ( identity != sk_c9
    | spl16_21 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f497,plain,
    ( identity = sk_c9
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_10
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f427,f1]) ).

fof(f427,plain,
    ( sk_c9 = multiply(identity,identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_10
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f361,f403]) ).

fof(f361,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl16_3
    | ~ spl16_10 ),
    inference(superposition,[],[f348,f282]) ).

fof(f348,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c11,X0)) = X0
    | ~ spl16_3 ),
    inference(forward_demodulation,[],[f347,f1]) ).

fof(f347,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c11,X0))
    | ~ spl16_3 ),
    inference(superposition,[],[f3,f288]) ).

fof(f477,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | spl16_21 ),
    inference(avatar_contradiction_clause,[],[f476]) ).

fof(f476,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13
    | spl16_21 ),
    inference(subsumption_resolution,[],[f473,f302]) ).

fof(f473,plain,
    ( identity = sk_c9
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_8
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f450,f466]) ).

fof(f321,plain,
    ( ~ spl16_24
    | ~ spl16_25
    | ~ spl16_14 ),
    inference(avatar_split_clause,[],[f297,f209,f318,f314]) ).

fof(f297,plain,
    ( sk_c10 != sk_c9
    | sk_c10 != inverse(identity)
    | ~ spl16_14 ),
    inference(superposition,[],[f210,f1]) ).

fof(f312,plain,
    ( ~ spl16_23
    | ~ spl16_9
    | ~ spl16_14 ),
    inference(avatar_split_clause,[],[f296,f209,f182,f309]) ).

fof(f296,plain,
    ( sk_c9 != sF12
    | sk_c10 != inverse(sk_c4)
    | ~ spl16_14 ),
    inference(superposition,[],[f210,f89]) ).

fof(f307,plain,
    ( ~ spl16_21
    | ~ spl16_22
    | ~ spl16_14 ),
    inference(avatar_split_clause,[],[f298,f209,f304,f300]) ).

fof(f298,plain,
    ( sk_c10 != inverse(inverse(sk_c10))
    | identity != sk_c9
    | ~ spl16_14 ),
    inference(superposition,[],[f210,f2]) ).

fof(f281,plain,
    ( spl16_4
    | spl16_7 ),
    inference(avatar_split_clause,[],[f118,f173,f159]) ).

fof(f118,plain,
    ( sk_c11 = sF11
    | sk_c11 = sF5 ),
    inference(definition_folding,[],[f15,f87,f75]) ).

fof(f15,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c11 = multiply(sk_c10,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f279,plain,
    ( spl16_18
    | spl16_10 ),
    inference(avatar_split_clause,[],[f133,f187,f222]) ).

fof(f133,plain,
    ( sk_c10 = sF3
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f28,f72,f98]) ).

fof(f28,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f278,plain,
    ( spl16_5
    | spl16_8 ),
    inference(avatar_split_clause,[],[f79,f178,f164]) ).

fof(f79,plain,
    ( sk_c10 = sF6
    | sk_c6 = sF7 ),
    inference(definition_folding,[],[f63,f78,f77]) ).

fof(f63,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).

fof(f277,plain,
    ( spl16_6
    | spl16_3 ),
    inference(avatar_split_clause,[],[f107,f155,f169]) ).

fof(f107,plain,
    ( sk_c10 = sF0
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f12,f68,f84]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c6)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f275,plain,
    ( spl16_20
    | spl16_2 ),
    inference(avatar_split_clause,[],[f126,f150,f240]) ).

fof(f126,plain,
    ( sk_c2 = sF4
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f44,f69,f74]) ).

fof(f44,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f274,plain,
    ( spl16_18
    | spl16_8 ),
    inference(avatar_split_clause,[],[f120,f178,f222]) ).

fof(f120,plain,
    ( sk_c10 = sF6
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f58,f98,f77]) ).

fof(f58,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | sk_c11 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).

fof(f273,plain,
    ( spl16_13
    | spl16_20 ),
    inference(avatar_split_clause,[],[f142,f240,f202]) ).

fof(f142,plain,
    ( sk_c10 = sF1
    | sk_c10 = sF8 ),
    inference(definition_folding,[],[f34,f69,f80]) ).

fof(f34,axiom,
    ( sk_c10 = multiply(sk_c1,sk_c2)
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f272,plain,
    ( spl16_11
    | spl16_13 ),
    inference(avatar_split_clause,[],[f81,f202,f191]) ).

fof(f81,plain,
    ( sk_c10 = sF8
    | sk_c10 = sF2 ),
    inference(definition_folding,[],[f37,f80,f71]) ).

fof(f37,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f271,plain,
    ( spl16_2
    | spl16_12 ),
    inference(avatar_split_clause,[],[f128,f198,f150]) ).

fof(f128,plain,
    ( sk_c8 = sF15
    | sk_c2 = sF4 ),
    inference(definition_folding,[],[f49,f101,f74]) ).

fof(f49,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).

fof(f270,plain,
    ( spl16_10
    | spl16_1 ),
    inference(avatar_split_clause,[],[f105,f146,f187]) ).

fof(f105,plain,
    ( sk_c6 = sF13
    | sk_c10 = sF3 ),
    inference(definition_folding,[],[f31,f91,f72]) ).

fof(f31,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f269,plain,
    ( spl16_2
    | spl16_19 ),
    inference(avatar_split_clause,[],[f115,f231,f150]) ).

fof(f115,plain,
    ( sk_c11 = sF9
    | sk_c2 = sF4 ),
    inference(definition_folding,[],[f50,f74,f82]) ).

fof(f50,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).

fof(f268,plain,
    ( spl16_8
    | spl16_6 ),
    inference(avatar_split_clause,[],[f121,f169,f178]) ).

fof(f121,plain,
    ( sk_c8 = sF10
    | sk_c10 = sF6 ),
    inference(definition_folding,[],[f62,f84,f77]) ).

fof(f62,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | sk_c8 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).

fof(f267,plain,
    ( spl16_12
    | spl16_8 ),
    inference(avatar_split_clause,[],[f130,f178,f198]) ).

fof(f130,plain,
    ( sk_c10 = sF6
    | sk_c8 = sF15 ),
    inference(definition_folding,[],[f59,f77,f101]) ).

fof(f59,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).

fof(f266,plain,
    ( spl16_9
    | spl16_3 ),
    inference(avatar_split_clause,[],[f131,f155,f182]) ).

fof(f131,plain,
    ( sk_c10 = sF0
    | sk_c9 = sF12 ),
    inference(definition_folding,[],[f6,f89,f68]) ).

fof(f6,axiom,
    ( inverse(sk_c11) = sk_c10
    | multiply(sk_c4,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f265,plain,
    ( spl16_10
    | spl16_6 ),
    inference(avatar_split_clause,[],[f137,f169,f187]) ).

fof(f137,plain,
    ( sk_c8 = sF10
    | sk_c10 = sF3 ),
    inference(definition_folding,[],[f32,f72,f84]) ).

fof(f32,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f263,plain,
    ( spl16_13
    | spl16_1 ),
    inference(avatar_split_clause,[],[f92,f146,f202]) ).

fof(f92,plain,
    ( sk_c6 = sF13
    | sk_c10 = sF8 ),
    inference(definition_folding,[],[f41,f91,f80]) ).

fof(f41,axiom,
    ( sk_c10 = multiply(sk_c1,sk_c2)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).

fof(f261,plain,
    ( spl16_3
    | spl16_12 ),
    inference(avatar_split_clause,[],[f141,f198,f155]) ).

fof(f141,plain,
    ( sk_c8 = sF15
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f9,f101,f68]) ).

fof(f9,axiom,
    ( inverse(sk_c11) = sk_c10
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f260,plain,
    ( spl16_1
    | spl16_8 ),
    inference(avatar_split_clause,[],[f117,f178,f146]) ).

fof(f117,plain,
    ( sk_c10 = sF6
    | sk_c6 = sF13 ),
    inference(definition_folding,[],[f61,f77,f91]) ).

fof(f61,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).

fof(f259,plain,
    ( spl16_2
    | spl16_9 ),
    inference(avatar_split_clause,[],[f122,f182,f150]) ).

fof(f122,plain,
    ( sk_c9 = sF12
    | sk_c2 = sF4 ),
    inference(definition_folding,[],[f46,f74,f89]) ).

fof(f46,axiom,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).

fof(f258,plain,
    ( spl16_8
    | spl16_20 ),
    inference(avatar_split_clause,[],[f127,f240,f178]) ).

fof(f127,plain,
    ( sk_c10 = sF1
    | sk_c10 = sF6 ),
    inference(definition_folding,[],[f54,f69,f77]) ).

fof(f54,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).

fof(f257,plain,
    ( spl16_9
    | spl16_10 ),
    inference(avatar_split_clause,[],[f112,f187,f182]) ).

fof(f112,plain,
    ( sk_c10 = sF3
    | sk_c9 = sF12 ),
    inference(definition_folding,[],[f26,f72,f89]) ).

fof(f26,axiom,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f255,plain,
    ( spl16_11
    | spl16_2 ),
    inference(avatar_split_clause,[],[f95,f150,f191]) ).

fof(f95,plain,
    ( sk_c2 = sF4
    | sk_c10 = sF2 ),
    inference(definition_folding,[],[f47,f71,f74]) ).

fof(f47,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).

fof(f254,plain,
    ( spl16_3
    | spl16_19 ),
    inference(avatar_split_clause,[],[f124,f231,f155]) ).

fof(f124,plain,
    ( sk_c11 = sF9
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f10,f68,f82]) ).

fof(f10,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f253,plain,
    ( spl16_2
    | spl16_4 ),
    inference(avatar_split_clause,[],[f76,f159,f150]) ).

fof(f76,plain,
    ( sk_c11 = sF5
    | sk_c2 = sF4 ),
    inference(definition_folding,[],[f45,f75,f74]) ).

fof(f45,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f252,plain,
    ( spl16_13
    | spl16_4 ),
    inference(avatar_split_clause,[],[f96,f159,f202]) ).

fof(f96,plain,
    ( sk_c11 = sF5
    | sk_c10 = sF8 ),
    inference(definition_folding,[],[f35,f75,f80]) ).

fof(f35,axiom,
    ( sk_c10 = multiply(sk_c1,sk_c2)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f251,plain,
    ( spl16_19
    | spl16_10 ),
    inference(avatar_split_clause,[],[f83,f187,f231]) ).

fof(f83,plain,
    ( sk_c10 = sF3
    | sk_c11 = sF9 ),
    inference(definition_folding,[],[f30,f72,f82]) ).

fof(f30,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f250,plain,
    ( spl16_3
    | spl16_18 ),
    inference(avatar_split_clause,[],[f140,f222,f155]) ).

fof(f140,plain,
    ( sk_c11 = sF14
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f8,f68,f98]) ).

fof(f8,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f249,plain,
    ( spl16_13
    | spl16_9 ),
    inference(avatar_split_clause,[],[f143,f182,f202]) ).

fof(f143,plain,
    ( sk_c9 = sF12
    | sk_c10 = sF8 ),
    inference(definition_folding,[],[f36,f89,f80]) ).

fof(f36,axiom,
    ( sk_c10 = multiply(sk_c1,sk_c2)
    | multiply(sk_c4,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f248,plain,
    ( spl16_12
    | spl16_10 ),
    inference(avatar_split_clause,[],[f129,f187,f198]) ).

fof(f129,plain,
    ( sk_c10 = sF3
    | sk_c8 = sF15 ),
    inference(definition_folding,[],[f29,f101,f72]) ).

fof(f29,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f247,plain,
    ( spl16_13
    | spl16_19 ),
    inference(avatar_split_clause,[],[f103,f231,f202]) ).

fof(f103,plain,
    ( sk_c11 = sF9
    | sk_c10 = sF8 ),
    inference(definition_folding,[],[f40,f80,f82]) ).

fof(f40,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f246,plain,
    ( spl16_6
    | spl16_2 ),
    inference(avatar_split_clause,[],[f85,f150,f169]) ).

fof(f85,plain,
    ( sk_c2 = sF4
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f52,f84,f74]) ).

fof(f52,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).

fof(f245,plain,
    ( spl16_20
    | spl16_10 ),
    inference(avatar_split_clause,[],[f144,f187,f240]) ).

fof(f144,plain,
    ( sk_c10 = sF3
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f24,f69,f72]) ).

fof(f24,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f244,plain,
    ( spl16_4
    | spl16_8 ),
    inference(avatar_split_clause,[],[f109,f178,f159]) ).

fof(f109,plain,
    ( sk_c10 = sF6
    | sk_c11 = sF5 ),
    inference(definition_folding,[],[f55,f75,f77]) ).

fof(f55,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).

fof(f243,plain,
    ( spl16_3
    | spl16_20 ),
    inference(avatar_split_clause,[],[f70,f240,f155]) ).

fof(f70,plain,
    ( sk_c10 = sF1
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f4,f69,f68]) ).

fof(f4,axiom,
    ( inverse(sk_c11) = sk_c10
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f238,plain,
    ( spl16_3
    | spl16_5 ),
    inference(avatar_split_clause,[],[f135,f164,f155]) ).

fof(f135,plain,
    ( sk_c6 = sF7
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f13,f78,f68]) ).

fof(f13,axiom,
    ( inverse(sk_c11) = sk_c10
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f237,plain,
    ( spl16_5
    | spl16_13 ),
    inference(avatar_split_clause,[],[f125,f202,f164]) ).

fof(f125,plain,
    ( sk_c10 = sF8
    | sk_c6 = sF7 ),
    inference(definition_folding,[],[f43,f78,f80]) ).

fof(f43,axiom,
    ( sk_c10 = multiply(sk_c1,sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

fof(f234,plain,
    ( spl16_8
    | spl16_19 ),
    inference(avatar_split_clause,[],[f116,f231,f178]) ).

fof(f116,plain,
    ( sk_c11 = sF9
    | sk_c10 = sF6 ),
    inference(definition_folding,[],[f60,f82,f77]) ).

fof(f60,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | sk_c11 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).

fof(f228,plain,
    ( spl16_2
    | spl16_18 ),
    inference(avatar_split_clause,[],[f123,f222,f150]) ).

fof(f123,plain,
    ( sk_c11 = sF14
    | sk_c2 = sF4 ),
    inference(definition_folding,[],[f48,f98,f74]) ).

fof(f48,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c11 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).

fof(f227,plain,
    ( spl16_3
    | spl16_11 ),
    inference(avatar_split_clause,[],[f104,f191,f155]) ).

fof(f104,plain,
    ( sk_c10 = sF2
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f7,f71,f68]) ).

fof(f7,axiom,
    ( inverse(sk_c11) = sk_c10
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f226,plain,
    ( spl16_13
    | spl16_6 ),
    inference(avatar_split_clause,[],[f110,f169,f202]) ).

fof(f110,plain,
    ( sk_c8 = sF10
    | sk_c10 = sF8 ),
    inference(definition_folding,[],[f42,f80,f84]) ).

fof(f42,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).

fof(f225,plain,
    ( spl16_13
    | spl16_18 ),
    inference(avatar_split_clause,[],[f99,f222,f202]) ).

fof(f99,plain,
    ( sk_c11 = sF14
    | sk_c10 = sF8 ),
    inference(definition_folding,[],[f38,f80,f98]) ).

fof(f38,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f220,plain,
    ( ~ spl16_10
    | ~ spl16_7
    | spl16_14
    | ~ spl16_3
    | spl16_15
    | spl16_16
    | spl16_17 ),
    inference(avatar_split_clause,[],[f97,f218,f215,f212,f155,f209,f173,f187]) ).

fof(f97,plain,
    ! [X3,X6,X9,X7,X5] :
      ( sk_c11 != inverse(X5)
      | sk_c10 != multiply(inverse(X3),sk_c9)
      | sk_c11 != multiply(X7,inverse(X7))
      | sk_c10 != sF0
      | sk_c10 != inverse(X6)
      | inverse(X9) != multiply(X9,inverse(X7))
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c11 != multiply(inverse(X7),sk_c10)
      | inverse(X7) != inverse(inverse(X9))
      | sk_c10 != multiply(X3,inverse(X3))
      | sk_c11 != sF11
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c10 != sF3 ),
    inference(definition_folding,[],[f67,f87,f72,f68]) ).

fof(f67,plain,
    ! [X3,X6,X9,X7,X5] :
      ( sk_c10 != multiply(X5,sk_c11)
      | inverse(sk_c11) != sk_c10
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != inverse(X6)
      | sk_c10 != multiply(sk_c11,sk_c9)
      | sk_c11 != multiply(inverse(X7),sk_c10)
      | sk_c10 != multiply(X3,inverse(X3))
      | sk_c11 != multiply(sk_c10,sk_c9)
      | inverse(X7) != inverse(inverse(X9))
      | inverse(X9) != multiply(X9,inverse(X7))
      | sk_c11 != inverse(X5)
      | sk_c10 != multiply(inverse(X3),sk_c9)
      | sk_c11 != multiply(X7,inverse(X7)) ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X3,X10,X6,X9,X7,X5] :
      ( sk_c10 != multiply(X5,sk_c11)
      | inverse(sk_c11) != sk_c10
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != inverse(X6)
      | sk_c10 != multiply(sk_c11,sk_c9)
      | sk_c11 != multiply(inverse(X7),sk_c10)
      | inverse(X9) != X10
      | sk_c10 != multiply(X3,inverse(X3))
      | sk_c11 != multiply(sk_c10,sk_c9)
      | inverse(X7) != inverse(X10)
      | multiply(X9,inverse(X7)) != X10
      | sk_c11 != inverse(X5)
      | sk_c10 != multiply(inverse(X3),sk_c9)
      | sk_c11 != multiply(X7,inverse(X7)) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X10,X8,X6,X9,X7,X5] :
      ( sk_c10 != multiply(X5,sk_c11)
      | inverse(X7) != X8
      | inverse(sk_c11) != sk_c10
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != inverse(X6)
      | sk_c10 != multiply(sk_c11,sk_c9)
      | sk_c11 != multiply(X8,sk_c10)
      | inverse(X9) != X10
      | sk_c10 != multiply(X3,inverse(X3))
      | sk_c11 != multiply(sk_c10,sk_c9)
      | inverse(X10) != X8
      | multiply(X9,X8) != X10
      | sk_c11 != inverse(X5)
      | sk_c10 != multiply(inverse(X3),sk_c9)
      | sk_c11 != multiply(X7,X8) ),
    inference(equality_resolution,[],[f64]) ).

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

fof(f207,plain,
    ( spl16_5
    | spl16_10 ),
    inference(avatar_split_clause,[],[f86,f187,f164]) ).

fof(f86,plain,
    ( sk_c10 = sF3
    | sk_c6 = sF7 ),
    inference(definition_folding,[],[f33,f72,f78]) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f206,plain,
    ( spl16_3
    | spl16_1 ),
    inference(avatar_split_clause,[],[f100,f146,f155]) ).

fof(f100,plain,
    ( sk_c6 = sF13
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f11,f68,f91]) ).

fof(f11,axiom,
    ( inverse(sk_c7) = sk_c6
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f205,plain,
    ( spl16_12
    | spl16_13 ),
    inference(avatar_split_clause,[],[f132,f202,f198]) ).

fof(f132,plain,
    ( sk_c10 = sF8
    | sk_c8 = sF15 ),
    inference(definition_folding,[],[f39,f80,f101]) ).

fof(f39,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f196,plain,
    ( spl16_4
    | spl16_10 ),
    inference(avatar_split_clause,[],[f114,f187,f159]) ).

fof(f114,plain,
    ( sk_c10 = sF3
    | sk_c11 = sF5 ),
    inference(definition_folding,[],[f25,f72,f75]) ).

fof(f25,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f194,plain,
    ( spl16_10
    | spl16_11 ),
    inference(avatar_split_clause,[],[f73,f191,f187]) ).

fof(f73,plain,
    ( sk_c10 = sF2
    | sk_c10 = sF3 ),
    inference(definition_folding,[],[f27,f72,f71]) ).

fof(f27,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f176,plain,
    ( spl16_6
    | spl16_7 ),
    inference(avatar_split_clause,[],[f94,f173,f169]) ).

fof(f94,plain,
    ( sk_c11 = sF11
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f22,f84,f87]) ).

fof(f22,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | sk_c8 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f167,plain,
    ( spl16_2
    | spl16_5 ),
    inference(avatar_split_clause,[],[f139,f164,f150]) ).

fof(f139,plain,
    ( sk_c6 = sF7
    | sk_c2 = sF4 ),
    inference(definition_folding,[],[f53,f78,f74]) ).

fof(f53,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).

fof(f162,plain,
    ( spl16_3
    | spl16_4 ),
    inference(avatar_split_clause,[],[f119,f159,f155]) ).

fof(f119,plain,
    ( sk_c11 = sF5
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f5,f75,f68]) ).

fof(f5,axiom,
    ( inverse(sk_c11) = sk_c10
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f153,plain,
    ( spl16_1
    | spl16_2 ),
    inference(avatar_split_clause,[],[f136,f150,f146]) ).

fof(f136,plain,
    ( sk_c2 = sF4
    | sk_c6 = sF13 ),
    inference(definition_folding,[],[f51,f91,f74]) ).

fof(f51,axiom,
    ( sk_c2 = inverse(sk_c1)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP384-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 22:26:48 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.51  % (26322)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  % (26346)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)
% 0.20/0.51  % (26337)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)
% 0.20/0.51  % (26332)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)
% 0.20/0.52  % (26339)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52  % (26337)Instruction limit reached!
% 0.20/0.52  % (26337)------------------------------
% 0.20/0.52  % (26337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (26337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (26337)Termination reason: Unknown
% 0.20/0.52  % (26337)Termination phase: Finite model building preprocessing
% 0.20/0.52  
% 0.20/0.52  % (26337)Memory used [KB]: 1535
% 0.20/0.52  % (26337)Time elapsed: 0.007 s
% 0.20/0.52  % (26337)Instructions burned: 8 (million)
% 0.20/0.52  % (26337)------------------------------
% 0.20/0.52  % (26337)------------------------------
% 0.20/0.52  % (26330)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)
% 0.20/0.52  % (26332)Instruction limit reached!
% 0.20/0.52  % (26332)------------------------------
% 0.20/0.52  % (26332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (26332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (26332)Termination reason: Unknown
% 0.20/0.52  % (26332)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (26332)Memory used [KB]: 6012
% 0.20/0.52  % (26332)Time elapsed: 0.074 s
% 0.20/0.52  % (26332)Instructions burned: 7 (million)
% 0.20/0.52  % (26332)------------------------------
% 0.20/0.52  % (26332)------------------------------
% 0.20/0.52  % (26338)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)
% 0.20/0.52  % (26338)Instruction limit reached!
% 0.20/0.52  % (26338)------------------------------
% 0.20/0.52  % (26338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (26338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (26338)Termination reason: Unknown
% 0.20/0.52  % (26338)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (26338)Memory used [KB]: 1279
% 0.20/0.52  % (26338)Time elapsed: 0.003 s
% 0.20/0.52  % (26338)Instructions burned: 2 (million)
% 0.20/0.52  % (26338)------------------------------
% 0.20/0.52  % (26338)------------------------------
% 0.20/0.52  % (26331)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)
% 0.20/0.53  % (26327)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  % (26347)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)
% 0.20/0.53  % (26326)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)
% 0.20/0.53  % (26325)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  % (26326)Refutation not found, incomplete strategy% (26326)------------------------------
% 0.20/0.53  % (26326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (26326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (26326)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (26326)Memory used [KB]: 6012
% 0.20/0.53  % (26326)Time elapsed: 0.135 s
% 0.20/0.53  % (26326)Instructions burned: 7 (million)
% 0.20/0.53  % (26326)------------------------------
% 0.20/0.53  % (26326)------------------------------
% 0.20/0.53  % (26323)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)
% 0.20/0.54  % (26345)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)
% 0.20/0.54  % (26339)Instruction limit reached!
% 0.20/0.54  % (26339)------------------------------
% 0.20/0.54  % (26339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (26339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (26339)Termination reason: Unknown
% 0.20/0.54  % (26339)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (26339)Memory used [KB]: 6012
% 0.20/0.54  % (26339)Time elapsed: 0.117 s
% 0.20/0.54  % (26341)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  % (26339)Instructions burned: 8 (million)
% 0.20/0.54  % (26339)------------------------------
% 0.20/0.54  % (26339)------------------------------
% 0.20/0.54  % (26340)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)
% 0.20/0.54  % (26330)Instruction limit reached!
% 0.20/0.54  % (26330)------------------------------
% 0.20/0.54  % (26330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (26330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (26330)Termination reason: Unknown
% 0.20/0.54  % (26330)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (26330)Memory used [KB]: 1279
% 0.20/0.54  % (26330)Time elapsed: 0.002 s
% 0.20/0.54  % (26330)Instructions burned: 3 (million)
% 0.20/0.54  % (26330)------------------------------
% 0.20/0.54  % (26330)------------------------------
% 0.20/0.54  % (26324)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.54  % (26324)Instruction limit reached!
% 0.20/0.54  % (26324)------------------------------
% 0.20/0.54  % (26324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (26324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (26324)Termination reason: Unknown
% 0.20/0.54  % (26324)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (26324)Memory used [KB]: 5884
% 0.20/0.54  % (26324)Time elapsed: 0.004 s
% 0.20/0.54  % (26324)Instructions burned: 5 (million)
% 0.20/0.54  % (26324)------------------------------
% 0.20/0.54  % (26324)------------------------------
% 0.20/0.54  % (26349)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  % (26334)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.55  % (26344)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)
% 0.20/0.55  % (26348)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.55  % (26333)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)
% 0.20/0.55  % (26348)Refutation not found, incomplete strategy% (26348)------------------------------
% 0.20/0.55  % (26348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (26329)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (26342)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)
% 0.20/0.55  % (26336)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)
% 0.20/0.55  % (26334)Instruction limit reached!
% 0.20/0.55  % (26334)------------------------------
% 0.20/0.55  % (26334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (26334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (26334)Termination reason: Unknown
% 0.20/0.55  % (26334)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (26334)Memory used [KB]: 5884
% 0.20/0.55  % (26334)Time elapsed: 0.156 s
% 0.20/0.55  % (26334)Instructions burned: 5 (million)
% 0.20/0.55  % (26334)------------------------------
% 0.20/0.55  % (26334)------------------------------
% 0.20/0.56  % (26328)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)
% 0.20/0.56  % (26348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (26348)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (26348)Memory used [KB]: 6012
% 0.20/0.56  % (26348)Time elapsed: 0.148 s
% 0.20/0.56  % (26348)Instructions burned: 5 (million)
% 0.20/0.56  % (26348)------------------------------
% 0.20/0.56  % (26348)------------------------------
% 0.20/0.56  % (26350)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)
% 0.20/0.56  % (26345)Refutation not found, incomplete strategy% (26345)------------------------------
% 0.20/0.56  % (26345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (26345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (26345)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (26345)Memory used [KB]: 5884
% 0.20/0.56  % (26345)Time elapsed: 0.142 s
% 0.20/0.56  % (26345)Instructions burned: 5 (million)
% 0.20/0.56  % (26345)------------------------------
% 0.20/0.56  % (26345)------------------------------
% 0.20/0.56  % (26329)Refutation not found, incomplete strategy% (26329)------------------------------
% 0.20/0.56  % (26329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (26329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (26329)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (26329)Memory used [KB]: 6012
% 0.20/0.56  % (26329)Time elapsed: 0.171 s
% 0.20/0.56  % (26329)Instructions burned: 7 (million)
% 0.20/0.56  % (26329)------------------------------
% 0.20/0.56  % (26329)------------------------------
% 0.20/0.56  % (26351)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  % (26335)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)
% 0.20/0.57  % (26335)Instruction limit reached!
% 0.20/0.57  % (26335)------------------------------
% 0.20/0.57  % (26335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (26335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (26335)Termination reason: Unknown
% 0.20/0.57  % (26335)Termination phase: Property scanning
% 0.20/0.57  
% 0.20/0.57  % (26335)Memory used [KB]: 1279
% 0.20/0.57  % (26335)Time elapsed: 0.002 s
% 0.20/0.57  % (26335)Instructions burned: 3 (million)
% 0.20/0.57  % (26335)------------------------------
% 0.20/0.57  % (26335)------------------------------
% 0.20/0.57  % (26341)Instruction limit reached!
% 0.20/0.57  % (26341)------------------------------
% 0.20/0.57  % (26341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (26341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (26341)Termination reason: Unknown
% 0.20/0.57  % (26341)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (26341)Memory used [KB]: 6012
% 0.20/0.57  % (26341)Time elapsed: 0.167 s
% 0.20/0.57  % (26341)Instructions burned: 8 (million)
% 0.20/0.57  % (26341)------------------------------
% 0.20/0.57  % (26341)------------------------------
% 0.20/0.57  % (26343)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)
% 0.20/0.57  % (26327)Instruction limit reached!
% 0.20/0.57  % (26327)------------------------------
% 0.20/0.57  % (26327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (26342)Instruction limit reached!
% 0.20/0.57  % (26342)------------------------------
% 0.20/0.57  % (26342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (26342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (26342)Termination reason: Unknown
% 0.20/0.57  % (26342)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (26342)Memory used [KB]: 1407
% 0.20/0.57  % (26342)Time elapsed: 0.004 s
% 0.20/0.57  % (26342)Instructions burned: 6 (million)
% 0.20/0.57  % (26342)------------------------------
% 0.20/0.57  % (26342)------------------------------
% 0.20/0.57  % (26343)Refutation not found, incomplete strategy% (26343)------------------------------
% 0.20/0.57  % (26343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (26346)Instruction limit reached!
% 0.20/0.57  % (26346)------------------------------
% 0.20/0.57  % (26346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (26346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (26346)Termination reason: Unknown
% 0.20/0.57  % (26346)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (26346)Memory used [KB]: 6780
% 0.20/0.57  % (26346)Time elapsed: 0.150 s
% 0.20/0.57  % (26346)Instructions burned: 46 (million)
% 0.20/0.57  % (26346)------------------------------
% 0.20/0.57  % (26346)------------------------------
% 0.20/0.58  % (26350)Instruction limit reached!
% 0.20/0.58  % (26350)------------------------------
% 0.20/0.58  % (26350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (26340)Instruction limit reached!
% 0.20/0.58  % (26340)------------------------------
% 0.20/0.58  % (26340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (26340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (26340)Termination reason: Unknown
% 0.20/0.58  % (26340)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (26340)Memory used [KB]: 10746
% 0.20/0.58  % (26340)Time elapsed: 0.179 s
% 0.20/0.58  % (26340)Instructions burned: 28 (million)
% 0.20/0.58  % (26340)------------------------------
% 0.20/0.58  % (26340)------------------------------
% 0.20/0.58  % (26327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (26327)Termination reason: Unknown
% 0.20/0.58  % (26327)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (26327)Memory used [KB]: 6268
% 0.20/0.58  % (26327)Time elapsed: 0.156 s
% 0.20/0.58  % (26327)Instructions burned: 26 (million)
% 0.20/0.58  % (26327)------------------------------
% 0.20/0.58  % (26327)------------------------------
% 0.20/0.59  % (26343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (26343)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59  
% 0.20/0.59  % (26343)Memory used [KB]: 5884
% 0.20/0.59  % (26343)Time elapsed: 0.177 s
% 0.20/0.59  % (26343)Instructions burned: 5 (million)
% 0.20/0.59  % (26343)------------------------------
% 0.20/0.59  % (26343)------------------------------
% 0.20/0.59  % (26333)Instruction limit reached!
% 0.20/0.59  % (26333)------------------------------
% 0.20/0.59  % (26333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (26333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (26333)Termination reason: Unknown
% 0.20/0.59  % (26333)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (26333)Memory used [KB]: 6268
% 0.20/0.59  % (26333)Time elapsed: 0.177 s
% 0.20/0.59  % (26333)Instructions burned: 24 (million)
% 0.20/0.59  % (26333)------------------------------
% 0.20/0.59  % (26333)------------------------------
% 1.89/0.59  % (26350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.59  % (26350)Termination reason: Unknown
% 1.89/0.59  % (26350)Termination phase: Saturation
% 1.89/0.59  
% 1.89/0.59  % (26350)Memory used [KB]: 6396
% 1.89/0.59  % (26350)Time elapsed: 0.173 s
% 1.89/0.59  % (26350)Instructions burned: 22 (million)
% 1.89/0.59  % (26350)------------------------------
% 1.89/0.59  % (26350)------------------------------
% 1.89/0.59  % (26323)Instruction limit reached!
% 1.89/0.59  % (26323)------------------------------
% 1.89/0.59  % (26323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (26323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (26323)Termination reason: Unknown
% 1.89/0.60  % (26323)Termination phase: Saturation
% 1.89/0.60  
% 1.89/0.60  % (26323)Memory used [KB]: 1791
% 1.89/0.60  % (26323)Time elapsed: 0.199 s
% 1.89/0.60  % (26323)Instructions burned: 44 (million)
% 1.89/0.60  % (26323)------------------------------
% 1.89/0.60  % (26323)------------------------------
% 1.89/0.60  % (26328)Instruction limit reached!
% 1.89/0.60  % (26328)------------------------------
% 1.89/0.60  % (26328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (26328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (26328)Termination reason: Unknown
% 1.89/0.60  % (26328)Termination phase: Saturation
% 1.89/0.60  
% 1.89/0.60  % (26328)Memory used [KB]: 1663
% 1.89/0.60  % (26328)Time elapsed: 0.199 s
% 1.89/0.60  % (26328)Instructions burned: 50 (million)
% 1.89/0.60  % (26328)------------------------------
% 1.89/0.60  % (26328)------------------------------
% 1.89/0.60  % (26325)Instruction limit reached!
% 1.89/0.60  % (26325)------------------------------
% 1.89/0.60  % (26325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (26325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (26325)Termination reason: Unknown
% 1.89/0.60  % (26325)Termination phase: Saturation
% 1.89/0.60  
% 1.89/0.60  % (26325)Memory used [KB]: 6652
% 1.89/0.60  % (26325)Time elapsed: 0.203 s
% 1.89/0.60  % (26325)Instructions burned: 43 (million)
% 1.89/0.60  % (26325)------------------------------
% 1.89/0.60  % (26325)------------------------------
% 1.89/0.60  % (26336)Instruction limit reached!
% 1.89/0.60  % (26336)------------------------------
% 1.89/0.60  % (26336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (26336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (26336)Termination reason: Unknown
% 1.89/0.60  % (26336)Termination phase: Saturation
% 1.89/0.60  
% 1.89/0.60  % (26336)Memory used [KB]: 1663
% 1.89/0.60  % (26336)Time elapsed: 0.200 s
% 1.89/0.60  % (26336)Instructions burned: 29 (million)
% 1.89/0.60  % (26336)------------------------------
% 1.89/0.60  % (26336)------------------------------
% 1.89/0.61  % (26331)Refutation not found, non-redundant clauses discarded% (26331)------------------------------
% 1.89/0.61  % (26331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.61  % (26331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.61  % (26331)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.06/0.61  
% 2.06/0.61  % (26331)Memory used [KB]: 6524
% 2.06/0.61  % (26331)Time elapsed: 0.190 s
% 2.06/0.61  % (26331)Instructions burned: 48 (million)
% 2.06/0.61  % (26331)------------------------------
% 2.06/0.61  % (26331)------------------------------
% 2.06/0.61  % (26322)First to succeed.
% 2.19/0.63  % (26358)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 2.19/0.63  % (26357)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 2.19/0.64  % (26322)Refutation found. Thanks to Tanya!
% 2.19/0.64  % SZS status Unsatisfiable for theBenchmark
% 2.19/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.64  % (26322)------------------------------
% 2.19/0.64  % (26322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.64  % (26322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.64  % (26322)Termination reason: Refutation
% 2.19/0.64  
% 2.19/0.64  % (26322)Memory used [KB]: 7291
% 2.19/0.64  % (26322)Time elapsed: 0.207 s
% 2.19/0.64  % (26322)Instructions burned: 81 (million)
% 2.19/0.64  % (26322)------------------------------
% 2.19/0.64  % (26322)------------------------------
% 2.19/0.64  % (26321)Success in time 0.297 s
%------------------------------------------------------------------------------