%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP307-1 : 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 : n007.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 16:15:17 EDT 2022

% Result   : Unsatisfiable 1.94s 0.63s
% Output   : Refutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   87
% Syntax   : Number of formulae    :  414 (  39 unt;   0 def)
%            Number of atoms       : 1452 ( 529 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives : 1999 ( 961   ~;1004   |;   0   &)
%                                         (  34 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   36 (  34 usr;  35 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  28 con; 0-2 aty)
%            Number of variables   :   87 (  87   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1553,plain,
    $false,
    inference(avatar_sat_refutation,[],[f153,f162,f167,f182,f187,f192,f198,f204,f205,f211,f212,f217,f218,f227,f232,f234,f235,f236,f242,f244,f247,f249,f253,f254,f255,f258,f259,f260,f261,f262,f263,f264,f268,f281,f317,f396,f402,f454,f490,f493,f536,f622,f672,f708,f719,f807,f867,f879,f928,f936,f955,f985,f1034,f1052,f1055,f1067,f1076,f1093,f1207,f1248,f1313,f1469,f1487,f1498,f1552]) ).

fof(f1552,plain,
    ( ~ spl16_16
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_28
    | ~ spl16_29
    | ~ spl16_30 ),
    inference(avatar_contradiction_clause,[],[f1551]) ).

fof(f1551,plain,
    ( $false
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_28
    | ~ spl16_29
    | ~ spl16_30 ),
    inference(subsumption_resolution,[],[f1550,f1059]) ).

fof(f1059,plain,
    ( identity = inverse(identity)
    | ~ spl16_29
    | ~ spl16_30 ),
    inference(backward_demodulation,[],[f552,f582]) ).

fof(f582,plain,
    ( identity = sk_c4
    | ~ spl16_30 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f581,plain,
    ( spl16_30
  <=> identity = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_30])]) ).

fof(f552,plain,
    ( identity = inverse(sk_c4)
    | ~ spl16_29 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f551,plain,
    ( spl16_29
  <=> identity = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_29])]) ).

fof(f1550,plain,
    ( identity != inverse(identity)
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_28
    | ~ spl16_29
    | ~ spl16_30 ),
    inference(forward_demodulation,[],[f1544,f1059]) ).

fof(f1544,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_28 ),
    inference(trivial_inequality_removal,[],[f1541]) ).

fof(f1541,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_28 ),
    inference(superposition,[],[f1501,f2]) ).

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

fof(f1501,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl16_16
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_28 ),
    inference(forward_demodulation,[],[f1500,f1233]) ).

fof(f1233,plain,
    ( identity = sk_c9
    | ~ spl16_16
    | ~ spl16_28 ),
    inference(forward_demodulation,[],[f231,f548]) ).

fof(f548,plain,
    ( identity = sF15
    | ~ spl16_28 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f547,plain,
    ( spl16_28
  <=> identity = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).

fof(f231,plain,
    ( sk_c9 = sF15
    | ~ spl16_16 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl16_16
  <=> sk_c9 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).

fof(f1500,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c9 != multiply(X6,identity) )
    | ~ spl16_18
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f1499,f306]) ).

fof(f306,plain,
    ( identity = sk_c10
    | ~ spl16_22 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f305,plain,
    ( spl16_22
  <=> identity = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).

fof(f1499,plain,
    ( ! [X6] :
        ( sk_c10 != inverse(X6)
        | sk_c9 != multiply(X6,identity) )
    | ~ spl16_18
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f274,f306]) ).

fof(f274,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) )
    | ~ spl16_18 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f273,plain,
    ( spl16_18
  <=> ! [X6] :
        ( sk_c10 != inverse(X6)
        | sk_c9 != multiply(X6,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).

fof(f1498,plain,
    ( ~ spl16_4
    | spl16_8
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_22
    | ~ spl16_28 ),
    inference(avatar_contradiction_clause,[],[f1497]) ).

fof(f1497,plain,
    ( $false
    | ~ spl16_4
    | spl16_8
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_22
    | ~ spl16_28 ),
    inference(subsumption_resolution,[],[f1496,f1493]) ).

fof(f1493,plain,
    ( identity != sF3
    | spl16_8
    | ~ spl16_16
    | ~ spl16_28 ),
    inference(forward_demodulation,[],[f179,f1233]) ).

fof(f179,plain,
    ( sk_c9 != sF3
    | spl16_8 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f178,plain,
    ( spl16_8
  <=> sk_c9 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).

fof(f1496,plain,
    ( identity = sF3
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f1495,f1]) ).

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

fof(f1495,plain,
    ( multiply(identity,identity) = sF3
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f1494,f856]) ).

fof(f856,plain,
    ( identity = sk_c11
    | ~ spl16_4
    | ~ spl16_14 ),
    inference(forward_demodulation,[],[f216,f730]) ).

fof(f730,plain,
    ( identity = sF5
    | ~ spl16_4 ),
    inference(forward_demodulation,[],[f727,f2]) ).

fof(f727,plain,
    ( sF5 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f567,f161]) ).

fof(f161,plain,
    ( sk_c8 = sF6
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl16_4
  <=> sk_c8 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).

fof(f567,plain,
    sF5 = multiply(inverse(sF6),sk_c8),
    inference(superposition,[],[f338,f398]) ).

fof(f398,plain,
    sk_c8 = multiply(sF6,sF5),
    inference(forward_demodulation,[],[f372,f78]) ).

fof(f78,plain,
    inverse(sk_c5) = sF6,
    introduced(function_definition,[]) ).

fof(f372,plain,
    sk_c8 = multiply(inverse(sk_c5),sF5),
    inference(superposition,[],[f338,f76]) ).

fof(f76,plain,
    multiply(sk_c5,sk_c8) = sF5,
    introduced(function_definition,[]) ).

fof(f338,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f326,f1]) ).

fof(f326,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
    inference(superposition,[],[f3,f2]) ).

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

fof(f216,plain,
    ( sk_c11 = sF5
    | ~ spl16_14 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl16_14
  <=> sk_c11 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).

fof(f1494,plain,
    ( multiply(sk_c11,identity) = sF3
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f73,f306]) ).

fof(f73,plain,
    multiply(sk_c11,sk_c10) = sF3,
    introduced(function_definition,[]) ).

fof(f1487,plain,
    ( spl16_44
    | ~ spl16_10
    | ~ spl16_22 ),
    inference(avatar_split_clause,[],[f1476,f305,f189,f694]) ).

fof(f694,plain,
    ( spl16_44
  <=> identity = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_44])]) ).

fof(f189,plain,
    ( spl16_10
  <=> sk_c10 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).

fof(f1476,plain,
    ( identity = sF10
    | ~ spl16_10
    | ~ spl16_22 ),
    inference(backward_demodulation,[],[f191,f306]) ).

fof(f191,plain,
    ( sk_c10 = sF10
    | ~ spl16_10 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f1469,plain,
    ( ~ spl16_1
    | ~ spl16_4
    | ~ spl16_14
    | spl16_22
    | ~ spl16_47 ),
    inference(avatar_contradiction_clause,[],[f1468]) ).

fof(f1468,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_14
    | spl16_22
    | ~ spl16_47 ),
    inference(subsumption_resolution,[],[f1467,f307]) ).

fof(f307,plain,
    ( identity != sk_c10
    | spl16_22 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f1467,plain,
    ( identity = sk_c10
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_47 ),
    inference(forward_demodulation,[],[f1466,f1]) ).

fof(f1466,plain,
    ( sk_c10 = multiply(identity,identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_47 ),
    inference(forward_demodulation,[],[f1465,f1349]) ).

fof(f1349,plain,
    ( identity = sk_c3
    | ~ spl16_47 ),
    inference(forward_demodulation,[],[f1348,f2]) ).

fof(f1348,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl16_47 ),
    inference(forward_demodulation,[],[f376,f717]) ).

fof(f717,plain,
    ( identity = sF4
    | ~ spl16_47 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl16_47
  <=> identity = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_47])]) ).

fof(f376,plain,
    sk_c3 = multiply(inverse(sF4),identity),
    inference(superposition,[],[f338,f289]) ).

fof(f289,plain,
    identity = multiply(sF4,sk_c3),
    inference(superposition,[],[f2,f74]) ).

fof(f74,plain,
    inverse(sk_c3) = sF4,
    introduced(function_definition,[]) ).

fof(f1465,plain,
    ( sk_c10 = multiply(sk_c3,identity)
    | ~ spl16_1
    | ~ spl16_4
    | ~ spl16_14 ),
    inference(forward_demodulation,[],[f1318,f856]) ).

fof(f1318,plain,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | ~ spl16_1 ),
    inference(forward_demodulation,[],[f80,f148]) ).

fof(f148,plain,
    ( sk_c10 = sF7
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl16_1
  <=> sk_c10 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f80,plain,
    multiply(sk_c3,sk_c11) = sF7,
    introduced(function_definition,[]) ).

fof(f1313,plain,
    ( spl16_46
    | ~ spl16_47 ),
    inference(avatar_split_clause,[],[f1312,f716,f712]) ).

fof(f712,plain,
    ( spl16_46
  <=> identity = multiply(identity,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_46])]) ).

fof(f1312,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl16_47 ),
    inference(forward_demodulation,[],[f289,f717]) ).

fof(f1248,plain,
    ( ~ spl16_4
    | ~ spl16_14
    | ~ spl16_22
    | spl16_24 ),
    inference(avatar_contradiction_clause,[],[f1247]) ).

fof(f1247,plain,
    ( $false
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_22
    | spl16_24 ),
    inference(subsumption_resolution,[],[f1246,f856]) ).

fof(f1246,plain,
    ( identity != sk_c11
    | ~ spl16_22
    | spl16_24 ),
    inference(forward_demodulation,[],[f316,f306]) ).

fof(f316,plain,
    ( sk_c11 != sk_c10
    | spl16_24 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f314,plain,
    ( spl16_24
  <=> sk_c11 = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).

fof(f1207,plain,
    ( ~ spl16_4
    | ~ spl16_36
    | ~ spl16_38
    | ~ spl16_42 ),
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1206,plain,
    ( $false
    | ~ spl16_4
    | ~ spl16_36
    | ~ spl16_38
    | ~ spl16_42 ),
    inference(subsumption_resolution,[],[f1201,f1050]) ).

fof(f1050,plain,
    ( identity = inverse(identity)
    | ~ spl16_4
    | ~ spl16_36
    | ~ spl16_42 ),
    inference(backward_demodulation,[],[f994,f667]) ).

fof(f667,plain,
    ( identity = sk_c8
    | ~ spl16_42 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl16_42
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_42])]) ).

fof(f994,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl16_4
    | ~ spl16_36 ),
    inference(backward_demodulation,[],[f722,f613]) ).

fof(f613,plain,
    ( identity = sk_c5
    | ~ spl16_36 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f612,plain,
    ( spl16_36
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_36])]) ).

fof(f722,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f78,f161]) ).

fof(f1201,plain,
    ( identity != inverse(identity)
    | ~ spl16_4
    | ~ spl16_36
    | ~ spl16_38
    | ~ spl16_42 ),
    inference(trivial_inequality_removal,[],[f1196]) ).

fof(f1196,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl16_4
    | ~ spl16_36
    | ~ spl16_38
    | ~ spl16_42 ),
    inference(superposition,[],[f1120,f1]) ).

fof(f1120,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl16_4
    | ~ spl16_36
    | ~ spl16_38
    | ~ spl16_42 ),
    inference(forward_demodulation,[],[f1119,f1050]) ).

fof(f1119,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | inverse(X3) != inverse(identity) )
    | ~ spl16_4
    | ~ spl16_36
    | ~ spl16_38
    | ~ spl16_42 ),
    inference(forward_demodulation,[],[f1118,f1050]) ).

fof(f1118,plain,
    ( ! [X3] :
        ( identity != multiply(X3,inverse(identity))
        | inverse(X3) != inverse(identity) )
    | ~ spl16_4
    | ~ spl16_38
    | ~ spl16_42 ),
    inference(forward_demodulation,[],[f1117,f1042]) ).

fof(f1042,plain,
    ( identity = sF6
    | ~ spl16_4
    | ~ spl16_42 ),
    inference(backward_demodulation,[],[f161,f667]) ).

fof(f1117,plain,
    ( ! [X3] :
        ( identity != multiply(X3,inverse(sF6))
        | inverse(X3) != inverse(identity) )
    | ~ spl16_4
    | ~ spl16_38
    | ~ spl16_42 ),
    inference(forward_demodulation,[],[f621,f1042]) ).

fof(f621,plain,
    ( ! [X3] :
        ( inverse(X3) != inverse(sF6)
        | identity != multiply(X3,inverse(sF6)) )
    | ~ spl16_38 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f620,plain,
    ( spl16_38
  <=> ! [X3] :
        ( identity != multiply(X3,inverse(sF6))
        | inverse(X3) != inverse(sF6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_38])]) ).

fof(f1093,plain,
    ( ~ spl16_4
    | spl16_7
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(avatar_contradiction_clause,[],[f1092]) ).

fof(f1092,plain,
    ( $false
    | ~ spl16_4
    | spl16_7
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(subsumption_resolution,[],[f1091,f856]) ).

fof(f1091,plain,
    ( identity != sk_c11
    | ~ spl16_4
    | spl16_7
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f174,f1089]) ).

fof(f1089,plain,
    ( identity = sF13
    | ~ spl16_4
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f1088,f1]) ).

fof(f1088,plain,
    ( sF13 = multiply(identity,identity)
    | ~ spl16_4
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f849,f919]) ).

fof(f919,plain,
    ( identity = sk_c9
    | ~ spl16_4
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f918,f1]) ).

fof(f918,plain,
    ( sk_c9 = multiply(identity,identity)
    | ~ spl16_4
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f409,f856]) ).

fof(f409,plain,
    ( sk_c9 = multiply(sk_c11,sk_c11)
    | ~ spl16_8
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f286,f315]) ).

fof(f315,plain,
    ( sk_c11 = sk_c10
    | ~ spl16_24 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f286,plain,
    ( multiply(sk_c11,sk_c10) = sk_c9
    | ~ spl16_8 ),
    inference(backward_demodulation,[],[f73,f180]) ).

fof(f180,plain,
    ( sk_c9 = sF3
    | ~ spl16_8 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f849,plain,
    ( multiply(sk_c9,identity) = sF13
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f93,f306]) ).

fof(f93,plain,
    multiply(sk_c9,sk_c10) = sF13,
    introduced(function_definition,[]) ).

fof(f174,plain,
    ( sk_c11 != sF13
    | spl16_7 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl16_7
  <=> sk_c11 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).

fof(f1076,plain,
    ( spl16_3
    | ~ spl16_4
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_24
    | ~ spl16_36
    | ~ spl16_42 ),
    inference(avatar_contradiction_clause,[],[f1075]) ).

fof(f1075,plain,
    ( $false
    | spl16_3
    | ~ spl16_4
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_24
    | ~ spl16_36
    | ~ spl16_42 ),
    inference(subsumption_resolution,[],[f1074,f1070]) ).

fof(f1070,plain,
    ( identity != sF12
    | spl16_3
    | ~ spl16_4
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f156,f919]) ).

fof(f156,plain,
    ( sk_c9 != sF12
    | spl16_3 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl16_3
  <=> sk_c9 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

fof(f1074,plain,
    ( identity = sF12
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_36
    | ~ spl16_42 ),
    inference(forward_demodulation,[],[f1073,f1050]) ).

fof(f1073,plain,
    ( sF12 = inverse(identity)
    | ~ spl16_4
    | ~ spl16_14 ),
    inference(forward_demodulation,[],[f91,f856]) ).

fof(f91,plain,
    inverse(sk_c11) = sF12,
    introduced(function_definition,[]) ).

fof(f1067,plain,
    ( spl16_28
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_24
    | ~ spl16_30 ),
    inference(avatar_split_clause,[],[f1066,f581,f314,f214,f159,f547]) ).

fof(f1066,plain,
    ( identity = sF15
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_24
    | ~ spl16_30 ),
    inference(forward_demodulation,[],[f1063,f1]) ).

fof(f1063,plain,
    ( sF15 = multiply(identity,identity)
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_24
    | ~ spl16_30 ),
    inference(backward_demodulation,[],[f939,f582]) ).

fof(f939,plain,
    ( multiply(sk_c4,identity) = sF15
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f404,f856]) ).

fof(f404,plain,
    ( sF15 = multiply(sk_c4,sk_c11)
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f102,f315]) ).

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

fof(f1055,plain,
    ( spl16_30
    | ~ spl16_44 ),
    inference(avatar_split_clause,[],[f929,f694,f581]) ).

fof(f929,plain,
    ( identity = sk_c4
    | ~ spl16_44 ),
    inference(forward_demodulation,[],[f923,f2]) ).

fof(f923,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl16_44 ),
    inference(backward_demodulation,[],[f379,f695]) ).

fof(f695,plain,
    ( identity = sF10
    | ~ spl16_44 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f379,plain,
    sk_c4 = multiply(inverse(sF10),identity),
    inference(superposition,[],[f338,f290]) ).

fof(f290,plain,
    identity = multiply(sF10,sk_c4),
    inference(superposition,[],[f2,f86]) ).

fof(f86,plain,
    inverse(sk_c4) = sF10,
    introduced(function_definition,[]) ).

fof(f1052,plain,
    ( ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_14
    | ~ spl16_15
    | spl16_23
    | ~ spl16_24
    | ~ spl16_26
    | ~ spl16_42 ),
    inference(avatar_contradiction_clause,[],[f1051]) ).

fof(f1051,plain,
    ( $false
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_14
    | ~ spl16_15
    | spl16_23
    | ~ spl16_24
    | ~ spl16_26
    | ~ spl16_42 ),
    inference(subsumption_resolution,[],[f1048,f956]) ).

fof(f956,plain,
    ( identity != inverse(identity)
    | ~ spl16_4
    | ~ spl16_14
    | spl16_23 ),
    inference(forward_demodulation,[],[f312,f856]) ).

fof(f312,plain,
    ( sk_c11 != inverse(identity)
    | spl16_23 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f310,plain,
    ( spl16_23
  <=> sk_c11 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_23])]) ).

fof(f1048,plain,
    ( identity = inverse(identity)
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_14
    | ~ spl16_15
    | ~ spl16_24
    | ~ spl16_26
    | ~ spl16_42 ),
    inference(backward_demodulation,[],[f974,f667]) ).

fof(f974,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_14
    | ~ spl16_15
    | ~ spl16_24
    | ~ spl16_26 ),
    inference(backward_demodulation,[],[f809,f966]) ).

fof(f966,plain,
    ( sk_c8 = sk_c6
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_14
    | ~ spl16_15
    | ~ spl16_24
    | ~ spl16_26 ),
    inference(backward_demodulation,[],[f815,f962]) ).

fof(f962,plain,
    ( ! [X14] : multiply(sk_c8,X14) = X14
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_24
    | ~ spl16_26 ),
    inference(forward_demodulation,[],[f961,f1]) ).

fof(f961,plain,
    ( ! [X14] : multiply(identity,X14) = multiply(sk_c8,X14)
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_24
    | ~ spl16_26 ),
    inference(backward_demodulation,[],[f893,f539]) ).

fof(f539,plain,
    ( identity = sF2
    | ~ spl16_26 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f538,plain,
    ( spl16_26
  <=> identity = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).

fof(f893,plain,
    ( ! [X14] : multiply(sk_c8,X14) = multiply(sF2,X14)
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f892,f1]) ).

fof(f892,plain,
    ( ! [X14] : multiply(sk_c8,multiply(identity,X14)) = multiply(sF2,X14)
    | ~ spl16_4
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f413,f856]) ).

fof(f413,plain,
    ( ! [X14] : multiply(sF2,X14) = multiply(sk_c8,multiply(sk_c11,X14))
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f333,f315]) ).

fof(f333,plain,
    ! [X14] : multiply(sk_c8,multiply(sk_c10,X14)) = multiply(sF2,X14),
    inference(superposition,[],[f3,f71]) ).

fof(f71,plain,
    multiply(sk_c8,sk_c10) = sF2,
    introduced(function_definition,[]) ).

fof(f815,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_15 ),
    inference(backward_demodulation,[],[f757,f202]) ).

fof(f202,plain,
    ( sk_c8 = sF14
    | ~ spl16_12 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f200,plain,
    ( spl16_12
  <=> sk_c8 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).

fof(f757,plain,
    ( sk_c6 = multiply(sF14,sk_c8)
    | ~ spl16_6
    | ~ spl16_15 ),
    inference(forward_demodulation,[],[f753,f96]) ).

fof(f96,plain,
    inverse(sk_c6) = sF14,
    introduced(function_definition,[]) ).

fof(f753,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c8)
    | ~ spl16_6
    | ~ spl16_15 ),
    inference(backward_demodulation,[],[f736,f223]) ).

fof(f223,plain,
    ( sk_c6 = sF9
    | ~ spl16_15 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl16_15
  <=> sk_c6 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).

fof(f736,plain,
    ( sk_c6 = multiply(inverse(sF9),sk_c8)
    | ~ spl16_6 ),
    inference(backward_demodulation,[],[f569,f171]) ).

fof(f171,plain,
    ( sk_c6 = sF1
    | ~ spl16_6 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl16_6
  <=> sk_c6 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).

fof(f569,plain,
    multiply(inverse(sF9),sk_c8) = sF1,
    inference(superposition,[],[f338,f399]) ).

fof(f399,plain,
    sk_c8 = multiply(sF9,sF1),
    inference(forward_demodulation,[],[f374,f84]) ).

fof(f84,plain,
    inverse(sk_c7) = sF9,
    introduced(function_definition,[]) ).

fof(f374,plain,
    sk_c8 = multiply(inverse(sk_c7),sF1),
    inference(superposition,[],[f338,f69]) ).

fof(f69,plain,
    multiply(sk_c7,sk_c8) = sF1,
    introduced(function_definition,[]) ).

fof(f809,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl16_12 ),
    inference(backward_demodulation,[],[f96,f202]) ).

fof(f1034,plain,
    ( spl16_28
    | ~ spl16_4
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_24 ),
    inference(avatar_split_clause,[],[f1033,f314,f229,f214,f178,f159,f547]) ).

fof(f1033,plain,
    ( identity = sF15
    | ~ spl16_4
    | ~ spl16_8
    | ~ spl16_14
    | ~ spl16_16
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f231,f919]) ).

fof(f985,plain,
    ( ~ spl16_42
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_14
    | ~ spl16_15
    | ~ spl16_24
    | ~ spl16_26
    | spl16_37 ),
    inference(avatar_split_clause,[],[f984,f616,f538,f314,f221,f214,f200,f169,f159,f666]) ).

fof(f616,plain,
    ( spl16_37
  <=> sF6 = multiply(sk_c5,inverse(sF6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_37])]) ).

fof(f984,plain,
    ( identity != sk_c8
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_14
    | ~ spl16_15
    | ~ spl16_24
    | ~ spl16_26
    | spl16_37 ),
    inference(forward_demodulation,[],[f981,f733]) ).

fof(f733,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f76,f730]) ).

fof(f981,plain,
    ( sk_c8 != multiply(sk_c5,sk_c8)
    | ~ spl16_4
    | ~ spl16_6
    | ~ spl16_12
    | ~ spl16_14
    | ~ spl16_15
    | ~ spl16_24
    | ~ spl16_26
    | spl16_37 ),
    inference(backward_demodulation,[],[f729,f974]) ).

fof(f729,plain,
    ( sk_c8 != multiply(sk_c5,inverse(sk_c8))
    | ~ spl16_4
    | spl16_37 ),
    inference(backward_demodulation,[],[f618,f161]) ).

fof(f618,plain,
    ( sF6 != multiply(sk_c5,inverse(sF6))
    | spl16_37 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f955,plain,
    ( spl16_47
    | ~ spl16_4
    | ~ spl16_9
    | ~ spl16_14 ),
    inference(avatar_split_clause,[],[f954,f214,f184,f159,f716]) ).

fof(f184,plain,
    ( spl16_9
  <=> sk_c11 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).

fof(f954,plain,
    ( identity = sF4
    | ~ spl16_4
    | ~ spl16_9
    | ~ spl16_14 ),
    inference(forward_demodulation,[],[f186,f856]) ).

fof(f186,plain,
    ( sk_c11 = sF4
    | ~ spl16_9 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f936,plain,
    ( spl16_42
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(avatar_split_clause,[],[f935,f314,f214,f164,f159,f666]) ).

fof(f164,plain,
    ( spl16_5
  <=> sk_c11 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).

fof(f935,plain,
    ( identity = sk_c8
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f731,f865]) ).

fof(f865,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f758,f856]) ).

fof(f758,plain,
    ( sk_c11 = multiply(sk_c8,sk_c11)
    | ~ spl16_5
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f403,f166]) ).

fof(f166,plain,
    ( sk_c11 = sF2
    | ~ spl16_5 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f403,plain,
    ( multiply(sk_c8,sk_c11) = sF2
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f71,f315]) ).

fof(f731,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f726,f730]) ).

fof(f726,plain,
    ( sk_c8 = multiply(sk_c8,sF5)
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f398,f161]) ).

fof(f928,plain,
    ( spl16_29
    | ~ spl16_44 ),
    inference(avatar_split_clause,[],[f926,f694,f551]) ).

fof(f926,plain,
    ( identity = inverse(sk_c4)
    | ~ spl16_44 ),
    inference(backward_demodulation,[],[f86,f695]) ).

fof(f879,plain,
    ( spl16_36
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(avatar_split_clause,[],[f878,f314,f214,f164,f159,f612]) ).

fof(f878,plain,
    ( identity = sk_c5
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f725,f866]) ).

fof(f866,plain,
    ( identity = multiply(inverse(sk_c8),identity)
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_14
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f747,f856]) ).

fof(f747,plain,
    ( sk_c11 = multiply(inverse(sk_c8),sk_c11)
    | ~ spl16_5
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f416,f166]) ).

fof(f416,plain,
    ( sk_c11 = multiply(inverse(sk_c8),sF2)
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f373,f315]) ).

fof(f373,plain,
    sk_c10 = multiply(inverse(sk_c8),sF2),
    inference(superposition,[],[f338,f71]) ).

fof(f725,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f377,f161]) ).

fof(f377,plain,
    sk_c5 = multiply(inverse(sF6),identity),
    inference(superposition,[],[f338,f291]) ).

fof(f291,plain,
    identity = multiply(sF6,sk_c5),
    inference(superposition,[],[f2,f78]) ).

fof(f867,plain,
    ( spl16_26
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_14 ),
    inference(avatar_split_clause,[],[f863,f214,f164,f159,f538]) ).

fof(f863,plain,
    ( identity = sF2
    | ~ spl16_4
    | ~ spl16_5
    | ~ spl16_14 ),
    inference(backward_demodulation,[],[f166,f856]) ).

fof(f807,plain,
    ( spl16_47
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_13
    | ~ spl16_22 ),
    inference(avatar_split_clause,[],[f806,f305,f207,f194,f184,f155,f150,f716]) ).

fof(f150,plain,
    ( spl16_2
  <=> sk_c11 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

fof(f194,plain,
    ( spl16_11
  <=> sk_c2 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).

fof(f207,plain,
    ( spl16_13
  <=> sk_c10 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).

fof(f806,plain,
    ( identity = sF4
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_9
    | ~ spl16_11
    | ~ spl16_13
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f186,f760]) ).

fof(f760,plain,
    ( identity = sk_c11
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_11
    | ~ spl16_13
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f759,f2]) ).

fof(f759,plain,
    ( sk_c11 = multiply(inverse(sk_c2),sk_c2)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_11
    | ~ spl16_13
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f375,f741]) ).

fof(f741,plain,
    ( sk_c2 = sk_c1
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_13
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f401,f720]) ).

fof(f720,plain,
    ( sk_c2 = multiply(sk_c9,identity)
    | ~ spl16_3
    | ~ spl16_13
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f382,f306]) ).

fof(f382,plain,
    ( multiply(sk_c9,sk_c10) = sk_c2
    | ~ spl16_3
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f365,f287]) ).

fof(f287,plain,
    ( sk_c9 = inverse(sk_c11)
    | ~ spl16_3 ),
    inference(backward_demodulation,[],[f91,f157]) ).

fof(f157,plain,
    ( sk_c9 = sF12
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f365,plain,
    ( sk_c2 = multiply(inverse(sk_c11),sk_c10)
    | ~ spl16_13 ),
    inference(superposition,[],[f338,f284]) ).

fof(f284,plain,
    ( sk_c10 = multiply(sk_c11,sk_c2)
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f89,f209]) ).

fof(f209,plain,
    ( sk_c10 = sF11
    | ~ spl16_13 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f89,plain,
    multiply(sk_c11,sk_c2) = sF11,
    introduced(function_definition,[]) ).

fof(f401,plain,
    ( sk_c1 = multiply(sk_c9,identity)
    | ~ spl16_2
    | ~ spl16_3 ),
    inference(forward_demodulation,[],[f367,f287]) ).

fof(f367,plain,
    ( sk_c1 = multiply(inverse(sk_c11),identity)
    | ~ spl16_2 ),
    inference(superposition,[],[f338,f294]) ).

fof(f294,plain,
    ( identity = multiply(sk_c11,sk_c1)
    | ~ spl16_2 ),
    inference(superposition,[],[f2,f283]) ).

fof(f283,plain,
    ( sk_c11 = inverse(sk_c1)
    | ~ spl16_2 ),
    inference(backward_demodulation,[],[f68,f152]) ).

fof(f152,plain,
    ( sk_c11 = sF0
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f68,plain,
    inverse(sk_c1) = sF0,
    introduced(function_definition,[]) ).

fof(f375,plain,
    ( sk_c11 = multiply(inverse(sk_c1),sk_c2)
    | ~ spl16_11 ),
    inference(superposition,[],[f338,f282]) ).

fof(f282,plain,
    ( sk_c2 = multiply(sk_c1,sk_c11)
    | ~ spl16_11 ),
    inference(backward_demodulation,[],[f81,f196]) ).

fof(f196,plain,
    ( sk_c2 = sF8
    | ~ spl16_11 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f81,plain,
    multiply(sk_c1,sk_c11) = sF8,
    introduced(function_definition,[]) ).

fof(f719,plain,
    ( ~ spl16_46
    | ~ spl16_47
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(avatar_split_clause,[],[f710,f314,f305,f279,f173,f155,f716,f712]) ).

fof(f279,plain,
    ( spl16_20
  <=> ! [X4] :
        ( sk_c10 != multiply(sk_c11,multiply(X4,sk_c11))
        | sk_c11 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).

fof(f710,plain,
    ( identity != sF4
    | identity != multiply(identity,sk_c3)
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f683,f74]) ).

fof(f683,plain,
    ( identity != multiply(identity,sk_c3)
    | identity != inverse(sk_c3)
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(superposition,[],[f675,f517]) ).

fof(f517,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f421,f516]) ).

fof(f516,plain,
    ( sk_c3 = sF7
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f514,f376]) ).

fof(f514,plain,
    ( sF7 = multiply(inverse(sF4),identity)
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(superposition,[],[f338,f439]) ).

fof(f439,plain,
    ( identity = multiply(sF4,sF7)
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f397,f420]) ).

fof(f420,plain,
    ( identity = sk_c11
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f408,f288]) ).

fof(f288,plain,
    ( identity = multiply(sk_c9,sk_c11)
    | ~ spl16_3 ),
    inference(superposition,[],[f2,f287]) ).

fof(f408,plain,
    ( sk_c11 = multiply(sk_c9,sk_c11)
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f285,f315]) ).

fof(f285,plain,
    ( sk_c11 = multiply(sk_c9,sk_c10)
    | ~ spl16_7 ),
    inference(backward_demodulation,[],[f93,f175]) ).

fof(f175,plain,
    ( sk_c11 = sF13
    | ~ spl16_7 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f397,plain,
    sk_c11 = multiply(sF4,sF7),
    inference(forward_demodulation,[],[f370,f74]) ).

fof(f370,plain,
    sk_c11 = multiply(inverse(sk_c3),sF7),
    inference(superposition,[],[f338,f80]) ).

fof(f421,plain,
    ( multiply(sk_c3,identity) = sF7
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f80,f420]) ).

fof(f675,plain,
    ( ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) )
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f674,f306]) ).

fof(f674,plain,
    ( ! [X4] :
        ( sk_c10 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) )
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f673,f420]) ).

fof(f673,plain,
    ( ! [X4] :
        ( sk_c11 != inverse(X4)
        | sk_c10 != multiply(identity,multiply(X4,identity)) )
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f280,f420]) ).

fof(f280,plain,
    ( ! [X4] :
        ( sk_c10 != multiply(sk_c11,multiply(X4,sk_c11))
        | sk_c11 != inverse(X4) )
    | ~ spl16_20 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f708,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(avatar_contradiction_clause,[],[f707]) ).

fof(f707,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(subsumption_resolution,[],[f706,f461]) ).

fof(f461,plain,
    ( identity = inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f424,f459]) ).

fof(f459,plain,
    ( identity = sk_c1
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f401,f458]) ).

fof(f458,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f361,f425]) ).

fof(f425,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f287,f420]) ).

fof(f361,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f338,f1]) ).

fof(f424,plain,
    ( identity = inverse(sk_c1)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f283,f420]) ).

fof(f706,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f705,f461]) ).

fof(f705,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(subsumption_resolution,[],[f681,f1]) ).

fof(f681,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_20
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(superposition,[],[f675,f2]) ).

fof(f672,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(avatar_contradiction_clause,[],[f671]) ).

fof(f671,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(subsumption_resolution,[],[f670,f461]) ).

fof(f670,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f661,f461]) ).

fof(f661,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(trivial_inequality_removal,[],[f657]) ).

fof(f657,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(superposition,[],[f609,f2]) ).

fof(f609,plain,
    ( ! [X0] :
        ( identity != multiply(X0,identity)
        | identity != inverse(X0) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f608,f461]) ).

fof(f608,plain,
    ( ! [X0] :
        ( identity != multiply(X0,identity)
        | inverse(X0) != inverse(identity) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(subsumption_resolution,[],[f607,f1]) ).

fof(f607,plain,
    ( ! [X0] :
        ( identity != multiply(X0,identity)
        | identity != multiply(identity,identity)
        | inverse(X0) != inverse(identity) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f606,f461]) ).

fof(f606,plain,
    ( ! [X0] :
        ( identity != multiply(identity,inverse(identity))
        | inverse(X0) != inverse(identity)
        | identity != multiply(X0,identity) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f605,f461]) ).

fof(f605,plain,
    ( ! [X0] :
        ( identity != multiply(X0,inverse(identity))
        | inverse(X0) != inverse(identity)
        | identity != multiply(identity,inverse(identity)) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(subsumption_resolution,[],[f571,f2]) ).

fof(f571,plain,
    ( ! [X0] :
        ( identity != multiply(X0,inverse(identity))
        | identity != multiply(identity,inverse(identity))
        | identity != multiply(inverse(identity),identity)
        | inverse(X0) != inverse(identity) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(superposition,[],[f557,f461]) ).

fof(f557,plain,
    ( ! [X9,X7] :
        ( inverse(X9) != multiply(X9,inverse(inverse(X9)))
        | inverse(X7) != inverse(inverse(X9))
        | identity != multiply(inverse(inverse(X9)),identity)
        | identity != multiply(X7,inverse(inverse(X9))) )
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f556,f420]) ).

fof(f556,plain,
    ( ! [X9,X7] :
        ( identity != multiply(X7,inverse(inverse(X9)))
        | inverse(X9) != multiply(X9,inverse(inverse(X9)))
        | sk_c11 != multiply(inverse(inverse(X9)),identity)
        | inverse(X7) != inverse(inverse(X9)) )
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f555,f420]) ).

fof(f555,plain,
    ( ! [X9,X7] :
        ( sk_c11 != multiply(X7,inverse(inverse(X9)))
        | inverse(X7) != inverse(inverse(X9))
        | inverse(X9) != multiply(X9,inverse(inverse(X9)))
        | sk_c11 != multiply(inverse(inverse(X9)),identity) )
    | ~ spl16_19
    | ~ spl16_22 ),
    inference(forward_demodulation,[],[f277,f306]) ).

fof(f277,plain,
    ( ! [X9,X7] :
        ( inverse(X7) != inverse(inverse(X9))
        | inverse(X9) != multiply(X9,inverse(inverse(X9)))
        | sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
        | sk_c11 != multiply(X7,inverse(inverse(X9))) )
    | ~ spl16_19 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f276,plain,
    ( spl16_19
  <=> ! [X9,X7] :
        ( inverse(X7) != inverse(inverse(X9))
        | inverse(X9) != multiply(X9,inverse(inverse(X9)))
        | sk_c11 != multiply(X7,inverse(inverse(X9)))
        | sk_c11 != multiply(inverse(inverse(X9)),sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).

fof(f622,plain,
    ( ~ spl16_36
    | ~ spl16_37
    | spl16_38
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(avatar_split_clause,[],[f610,f314,f305,f276,f173,f155,f620,f616,f612]) ).

fof(f610,plain,
    ( ! [X3] :
        ( identity != multiply(X3,inverse(sF6))
        | sF6 != multiply(sk_c5,inverse(sF6))
        | inverse(X3) != inverse(sF6)
        | identity != sk_c5 )
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f574,f377]) ).

fof(f574,plain,
    ( ! [X3] :
        ( identity != multiply(X3,inverse(sF6))
        | sF6 != multiply(sk_c5,inverse(sF6))
        | inverse(X3) != inverse(sF6)
        | identity != multiply(inverse(sF6),identity) )
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_19
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(superposition,[],[f557,f78]) ).

fof(f536,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(avatar_contradiction_clause,[],[f535]) ).

fof(f535,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(subsumption_resolution,[],[f534,f461]) ).

fof(f534,plain,
    ( identity != inverse(identity)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f530,f461]) ).

fof(f530,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(trivial_inequality_removal,[],[f526]) ).

fof(f526,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(superposition,[],[f499,f2]) ).

fof(f499,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f498,f306]) ).

fof(f498,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | identity != multiply(X6,sk_c10) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_18
    | ~ spl16_22
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f494,f306]) ).

fof(f494,plain,
    ( ! [X6] :
        ( identity != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) )
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_18
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f274,f462]) ).

fof(f462,plain,
    ( identity = sk_c9
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f425,f461]) ).

fof(f493,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | spl16_23
    | ~ spl16_24 ),
    inference(avatar_contradiction_clause,[],[f492]) ).

fof(f492,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | spl16_23
    | ~ spl16_24 ),
    inference(subsumption_resolution,[],[f491,f420]) ).

fof(f491,plain,
    ( identity != sk_c11
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | spl16_23
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f312,f461]) ).

fof(f490,plain,
    ( spl16_22
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_11
    | ~ spl16_13
    | ~ spl16_24 ),
    inference(avatar_split_clause,[],[f489,f314,f207,f194,f173,f155,f150,f305]) ).

fof(f489,plain,
    ( identity = sk_c10
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_11
    | ~ spl16_13
    | ~ spl16_24 ),
    inference(forward_demodulation,[],[f394,f420]) ).

fof(f394,plain,
    ( sk_c11 = sk_c10
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_11
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f387,f393]) ).

fof(f393,plain,
    ( sk_c11 = multiply(sk_c11,sk_c11)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_11
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f392,f283]) ).

fof(f392,plain,
    ( sk_c11 = multiply(inverse(sk_c1),sk_c11)
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_11
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f375,f383]) ).

fof(f383,plain,
    ( sk_c11 = sk_c2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_13 ),
    inference(forward_demodulation,[],[f382,f285]) ).

fof(f387,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_13 ),
    inference(backward_demodulation,[],[f284,f383]) ).

fof(f454,plain,
    ( spl16_22
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(avatar_split_clause,[],[f429,f314,f173,f155,f305]) ).

fof(f429,plain,
    ( identity = sk_c10
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_24 ),
    inference(backward_demodulation,[],[f315,f420]) ).

fof(f402,plain,
    ( ~ spl16_24
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_11
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(avatar_split_clause,[],[f386,f270,f207,f194,f173,f155,f150,f314]) ).

fof(f270,plain,
    ( spl16_17
  <=> ! [X5] :
        ( sk_c10 != multiply(X5,sk_c11)
        | sk_c11 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).

fof(f386,plain,
    ( sk_c11 != sk_c10
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_11
    | ~ spl16_13
    | ~ spl16_17 ),
    inference(backward_demodulation,[],[f318,f383]) ).

fof(f318,plain,
    ( sk_c10 != sk_c2
    | ~ spl16_2
    | ~ spl16_11
    | ~ spl16_17 ),
    inference(subsumption_resolution,[],[f298,f283]) ).

fof(f298,plain,
    ( sk_c10 != sk_c2
    | sk_c11 != inverse(sk_c1)
    | ~ spl16_11
    | ~ spl16_17 ),
    inference(superposition,[],[f271,f282]) ).

fof(f271,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(X5,sk_c11)
        | sk_c11 != inverse(X5) )
    | ~ spl16_17 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f396,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_11
    | ~ spl16_13
    | spl16_24 ),
    inference(avatar_contradiction_clause,[],[f395]) ).

fof(f395,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_7
    | ~ spl16_11
    | ~ spl16_13
    | spl16_24 ),
    inference(subsumption_resolution,[],[f394,f316]) ).

fof(f317,plain,
    ( ~ spl16_23
    | ~ spl16_24
    | ~ spl16_17 ),
    inference(avatar_split_clause,[],[f295,f270,f314,f310]) ).

fof(f295,plain,
    ( sk_c11 != sk_c10
    | sk_c11 != inverse(identity)
    | ~ spl16_17 ),
    inference(superposition,[],[f271,f1]) ).

fof(f281,plain,
    ( ~ spl16_7
    | ~ spl16_3
    | spl16_17
    | spl16_18
    | ~ spl16_8
    | spl16_19
    | spl16_20 ),
    inference(avatar_split_clause,[],[f133,f279,f276,f178,f273,f270,f155,f173]) ).

fof(f133,plain,
    ! [X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(sk_c11,multiply(X4,sk_c11))
      | inverse(X7) != inverse(inverse(X9))
      | sk_c9 != sF3
      | sk_c10 != inverse(X6)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
      | sk_c9 != sF12
      | sk_c11 != inverse(X5)
      | sk_c11 != sF13
      | sk_c11 != multiply(X7,inverse(inverse(X9)))
      | sk_c11 != inverse(X4)
      | inverse(X9) != multiply(X9,inverse(inverse(X9))) ),
    inference(definition_folding,[],[f67,f73,f91,f93]) ).

fof(f67,plain,
    ! [X6,X9,X7,X4,X5] :
      ( sk_c9 != multiply(X6,sk_c10)
      | sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != multiply(sk_c9,sk_c10)
      | sk_c11 != inverse(X5)
      | sk_c10 != inverse(X6)
      | inverse(X7) != inverse(inverse(X9))
      | sk_c11 != multiply(X7,inverse(inverse(X9)))
      | sk_c9 != inverse(sk_c11)
      | sk_c10 != multiply(sk_c11,multiply(X4,sk_c11))
      | inverse(X9) != multiply(X9,inverse(inverse(X9)))
      | sk_c11 != inverse(X4)
      | multiply(sk_c11,sk_c10) != sk_c9 ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X3,X6,X9,X7,X4,X5] :
      ( sk_c9 != multiply(X6,sk_c10)
      | sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != multiply(sk_c9,sk_c10)
      | sk_c11 != inverse(X5)
      | sk_c10 != inverse(X6)
      | inverse(X7) != inverse(inverse(X9))
      | sk_c11 != multiply(X7,inverse(inverse(X9)))
      | multiply(X4,sk_c11) != X3
      | sk_c9 != inverse(sk_c11)
      | sk_c10 != multiply(sk_c11,X3)
      | inverse(X9) != multiply(X9,inverse(inverse(X9)))
      | sk_c11 != inverse(X4)
      | multiply(sk_c11,sk_c10) != sk_c9 ),
    inference(equality_resolution,[],[f65]) ).

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

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

fof(f268,plain,
    ( spl16_14
    | spl16_8 ),
    inference(avatar_split_clause,[],[f135,f178,f214]) ).

fof(f135,plain,
    ( sk_c9 = sF3
    | sk_c11 = sF5 ),
    inference(definition_folding,[],[f8,f73,f76]) ).

fof(f8,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | multiply(sk_c11,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f264,plain,
    ( spl16_2
    | spl16_12 ),
    inference(avatar_split_clause,[],[f131,f200,f150]) ).

fof(f131,plain,
    ( sk_c8 = sF14
    | sk_c11 = sF0 ),
    inference(definition_folding,[],[f62,f96,f68]) ).

fof(f62,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).

fof(f263,plain,
    ( spl16_10
    | spl16_2 ),
    inference(avatar_split_clause,[],[f101,f150,f189]) ).

fof(f101,plain,
    ( sk_c11 = sF0
    | sk_c10 = sF10 ),
    inference(definition_folding,[],[f57,f86,f68]) ).

fof(f57,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).

fof(f262,plain,
    ( spl16_1
    | spl16_7 ),
    inference(avatar_split_clause,[],[f125,f173,f146]) ).

fof(f125,plain,
    ( sk_c11 = sF13
    | sk_c10 = sF7 ),
    inference(definition_folding,[],[f24,f93,f80]) ).

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

fof(f261,plain,
    ( spl16_6
    | spl16_2 ),
    inference(avatar_split_clause,[],[f70,f150,f169]) ).

fof(f70,plain,
    ( sk_c11 = sF0
    | sk_c6 = sF1 ),
    inference(definition_folding,[],[f63,f69,f68]) ).

fof(f63,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).

fof(f260,plain,
    ( spl16_11
    | spl16_1 ),
    inference(avatar_split_clause,[],[f82,f146,f194]) ).

fof(f82,plain,
    ( sk_c10 = sF7
    | sk_c2 = sF8 ),
    inference(definition_folding,[],[f44,f81,f80]) ).

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

fof(f259,plain,
    ( spl16_7
    | spl16_4 ),
    inference(avatar_split_clause,[],[f138,f159,f173]) ).

fof(f138,plain,
    ( sk_c8 = sF6
    | sk_c11 = sF13 ),
    inference(definition_folding,[],[f29,f93,f78]) ).

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

fof(f258,plain,
    ( spl16_16
    | spl16_8 ),
    inference(avatar_split_clause,[],[f112,f178,f229]) ).

fof(f112,plain,
    ( sk_c9 = sF3
    | sk_c9 = sF15 ),
    inference(definition_folding,[],[f6,f73,f102]) ).

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

fof(f255,plain,
    ( spl16_3
    | spl16_14 ),
    inference(avatar_split_clause,[],[f92,f214,f155]) ).

fof(f92,plain,
    ( sk_c11 = sF5
    | sk_c9 = sF12 ),
    inference(definition_folding,[],[f18,f76,f91]) ).

fof(f18,axiom,
    ( sk_c9 = inverse(sk_c11)
    | sk_c11 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f254,plain,
    ( spl16_9
    | spl16_2 ),
    inference(avatar_split_clause,[],[f144,f150,f184]) ).

fof(f144,plain,
    ( sk_c11 = sF0
    | sk_c11 = sF4 ),
    inference(definition_folding,[],[f55,f68,f74]) ).

fof(f55,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).

fof(f253,plain,
    ( spl16_5
    | spl16_2 ),
    inference(avatar_split_clause,[],[f72,f150,f164]) ).

fof(f72,plain,
    ( sk_c11 = sF0
    | sk_c11 = sF2 ),
    inference(definition_folding,[],[f60,f71,f68]) ).

fof(f60,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c11 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).

fof(f249,plain,
    ( spl16_13
    | spl16_4 ),
    inference(avatar_split_clause,[],[f122,f159,f207]) ).

fof(f122,plain,
    ( sk_c8 = sF6
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f39,f89,f78]) ).

fof(f39,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c11,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f247,plain,
    ( spl16_4
    | spl16_2 ),
    inference(avatar_split_clause,[],[f79,f150,f159]) ).

fof(f79,plain,
    ( sk_c11 = sF0
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f59,f78,f68]) ).

fof(f59,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).

fof(f244,plain,
    ( spl16_2
    | spl16_15 ),
    inference(avatar_split_clause,[],[f142,f221,f150]) ).

fof(f142,plain,
    ( sk_c6 = sF9
    | sk_c11 = sF0 ),
    inference(definition_folding,[],[f61,f84,f68]) ).

fof(f61,axiom,
    ( sk_c11 = inverse(sk_c1)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).

fof(f242,plain,
    ( spl16_9
    | spl16_13 ),
    inference(avatar_split_clause,[],[f90,f207,f184]) ).

fof(f90,plain,
    ( sk_c10 = sF11
    | sk_c11 = sF4 ),
    inference(definition_folding,[],[f35,f89,f74]) ).

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

fof(f236,plain,
    ( spl16_13
    | spl16_1 ),
    inference(avatar_split_clause,[],[f117,f146,f207]) ).

fof(f117,plain,
    ( sk_c10 = sF7
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f34,f80,f89]) ).

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

fof(f235,plain,
    ( spl16_14
    | spl16_7 ),
    inference(avatar_split_clause,[],[f111,f173,f214]) ).

fof(f111,plain,
    ( sk_c11 = sF13
    | sk_c11 = sF5 ),
    inference(definition_folding,[],[f28,f76,f93]) ).

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

fof(f234,plain,
    ( spl16_1
    | spl16_3 ),
    inference(avatar_split_clause,[],[f107,f155,f146]) ).

fof(f107,plain,
    ( sk_c9 = sF12
    | sk_c10 = sF7 ),
    inference(definition_folding,[],[f14,f80,f91]) ).

fof(f14,axiom,
    ( sk_c9 = inverse(sk_c11)
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f232,plain,
    ( spl16_2
    | spl16_16 ),
    inference(avatar_split_clause,[],[f110,f229,f150]) ).

fof(f110,plain,
    ( sk_c9 = sF15
    | sk_c11 = sF0 ),
    inference(definition_folding,[],[f56,f102,f68]) ).

fof(f56,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).

fof(f227,plain,
    ( spl16_14
    | spl16_2 ),
    inference(avatar_split_clause,[],[f77,f150,f214]) ).

fof(f77,plain,
    ( sk_c11 = sF0
    | sk_c11 = sF5 ),
    inference(definition_folding,[],[f58,f68,f76]) ).

fof(f58,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).

fof(f218,plain,
    ( spl16_13
    | spl16_14 ),
    inference(avatar_split_clause,[],[f132,f214,f207]) ).

fof(f132,plain,
    ( sk_c11 = sF5
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f38,f89,f76]) ).

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

fof(f217,plain,
    ( spl16_14
    | spl16_11 ),
    inference(avatar_split_clause,[],[f115,f194,f214]) ).

fof(f115,plain,
    ( sk_c2 = sF8
    | sk_c11 = sF5 ),
    inference(definition_folding,[],[f48,f81,f76]) ).

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

fof(f212,plain,
    ( spl16_11
    | spl16_9 ),
    inference(avatar_split_clause,[],[f128,f184,f194]) ).

fof(f128,plain,
    ( sk_c11 = sF4
    | sk_c2 = sF8 ),
    inference(definition_folding,[],[f45,f81,f74]) ).

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

fof(f211,plain,
    ( spl16_3
    | spl16_9 ),
    inference(avatar_split_clause,[],[f99,f184,f155]) ).

fof(f99,plain,
    ( sk_c11 = sF4
    | sk_c9 = sF12 ),
    inference(definition_folding,[],[f15,f74,f91]) ).

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

fof(f205,plain,
    ( spl16_8
    | spl16_9 ),
    inference(avatar_split_clause,[],[f75,f184,f178]) ).

fof(f75,plain,
    ( sk_c11 = sF4
    | sk_c9 = sF3 ),
    inference(definition_folding,[],[f5,f74,f73]) ).

fof(f5,axiom,
    ( multiply(sk_c11,sk_c10) = sk_c9
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f204,plain,
    ( spl16_4
    | spl16_11 ),
    inference(avatar_split_clause,[],[f88,f194,f159]) ).

fof(f88,plain,
    ( sk_c2 = sF8
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f49,f78,f81]) ).

fof(f49,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c11)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).

fof(f198,plain,
    ( spl16_4
    | spl16_8 ),
    inference(avatar_split_clause,[],[f105,f178,f159]) ).

fof(f105,plain,
    ( sk_c9 = sF3
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f9,f73,f78]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c11,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f192,plain,
    ( spl16_10
    | spl16_8 ),
    inference(avatar_split_clause,[],[f113,f178,f189]) ).

fof(f113,plain,
    ( sk_c9 = sF3
    | sk_c10 = sF10 ),
    inference(definition_folding,[],[f7,f73,f86]) ).

fof(f7,axiom,
    ( sk_c10 = inverse(sk_c4)
    | multiply(sk_c11,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f187,plain,
    ( spl16_7
    | spl16_9 ),
    inference(avatar_split_clause,[],[f120,f184,f173]) ).

fof(f120,plain,
    ( sk_c11 = sF4
    | sk_c11 = sF13 ),
    inference(definition_folding,[],[f25,f74,f93]) ).

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

fof(f182,plain,
    ( spl16_1
    | spl16_8 ),
    inference(avatar_split_clause,[],[f109,f178,f146]) ).

fof(f109,plain,
    ( sk_c9 = sF3
    | sk_c10 = sF7 ),
    inference(definition_folding,[],[f4,f80,f73]) ).

fof(f4,axiom,
    ( multiply(sk_c11,sk_c10) = sk_c9
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f167,plain,
    ( spl16_3
    | spl16_5 ),
    inference(avatar_split_clause,[],[f114,f164,f155]) ).

fof(f114,plain,
    ( sk_c11 = sF2
    | sk_c9 = sF12 ),
    inference(definition_folding,[],[f20,f91,f71]) ).

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

fof(f162,plain,
    ( spl16_3
    | spl16_4 ),
    inference(avatar_split_clause,[],[f104,f159,f155]) ).

fof(f104,plain,
    ( sk_c8 = sF6
    | sk_c9 = sF12 ),
    inference(definition_folding,[],[f19,f78,f91]) ).

fof(f19,axiom,
    ( sk_c9 = inverse(sk_c11)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f153,plain,
    ( spl16_1
    | spl16_2 ),
    inference(avatar_split_clause,[],[f83,f150,f146]) ).

fof(f83,plain,
    ( sk_c11 = sF0
    | sk_c10 = sF7 ),
    inference(definition_folding,[],[f54,f80,f68]) ).

fof(f54,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP307-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:14:00 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (21383)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)
% 0.20/0.51  % (21391)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)
% 0.20/0.51  % (21383)Instruction limit reached!
% 0.20/0.51  % (21383)------------------------------
% 0.20/0.51  % (21383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (21383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (21383)Termination reason: Unknown
% 0.20/0.51  % (21383)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (21383)Memory used [KB]: 5884
% 0.20/0.51  % (21383)Time elapsed: 0.005 s
% 0.20/0.51  % (21383)Instructions burned: 3 (million)
% 0.20/0.51  % (21383)------------------------------
% 0.20/0.51  % (21383)------------------------------
% 0.20/0.51  % (21391)Instruction limit reached!
% 0.20/0.51  % (21391)------------------------------
% 0.20/0.51  % (21391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (21391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (21391)Termination reason: Unknown
% 0.20/0.51  % (21391)Termination phase: Property scanning
% 0.20/0.51  
% 0.20/0.51  % (21391)Memory used [KB]: 1279
% 0.20/0.51  % (21391)Time elapsed: 0.004 s
% 0.20/0.51  % (21391)Instructions burned: 3 (million)
% 0.20/0.51  % (21391)------------------------------
% 0.20/0.51  % (21391)------------------------------
% 0.20/0.51  % (21379)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52  % (21397)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.52  % (21375)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (21376)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53  % (21382)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)
% 0.20/0.53  % (21389)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.53  % (21382)Refutation not found, incomplete strategy% (21382)------------------------------
% 0.20/0.53  % (21382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (21382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (21382)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (21382)Memory used [KB]: 6012
% 0.20/0.53  % (21382)Time elapsed: 0.123 s
% 0.20/0.53  % (21382)Instructions burned: 7 (million)
% 0.20/0.53  % (21382)------------------------------
% 0.20/0.53  % (21382)------------------------------
% 0.20/0.53  % (21403)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)
% 0.20/0.54  % (21399)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.54  % (21404)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (21402)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  % (21381)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)
% 0.20/0.54  % (21398)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  % (21380)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54  % (21378)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)
% 0.20/0.54  % (21400)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.54  % (21398)Refutation not found, incomplete strategy% (21398)------------------------------
% 0.20/0.54  % (21398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (21398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (21398)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (21398)Memory used [KB]: 5884
% 0.20/0.54  % (21398)Time elapsed: 0.138 s
% 0.20/0.54  % (21398)Instructions burned: 5 (million)
% 0.20/0.54  % (21398)------------------------------
% 0.20/0.54  % (21398)------------------------------
% 0.20/0.54  % (21390)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)
% 0.20/0.55  % (21395)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  % (21386)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  % (21395)Instruction limit reached!
% 0.20/0.55  % (21395)------------------------------
% 0.20/0.55  % (21395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (21395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (21395)Termination reason: Unknown
% 0.20/0.55  % (21395)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (21395)Memory used [KB]: 1407
% 0.20/0.55  % (21395)Time elapsed: 0.006 s
% 0.20/0.55  % (21395)Instructions burned: 8 (million)
% 0.20/0.55  % (21395)------------------------------
% 0.20/0.55  % (21395)------------------------------
% 0.20/0.55  % (21387)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  % (21388)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)
% 0.20/0.55  % (21392)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.55  % (21396)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)
% 0.20/0.55  % (21387)Instruction limit reached!
% 0.20/0.55  % (21387)------------------------------
% 0.20/0.55  % (21387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (21387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (21387)Termination reason: Unknown
% 0.20/0.55  % (21387)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (21387)Memory used [KB]: 6012
% 0.20/0.55  % (21387)Time elapsed: 0.153 s
% 0.20/0.55  % (21387)Instructions burned: 6 (million)
% 0.20/0.55  % (21387)------------------------------
% 0.20/0.55  % (21387)------------------------------
% 0.20/0.55  % (21396)Refutation not found, incomplete strategy% (21396)------------------------------
% 0.20/0.55  % (21396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (21394)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (21388)Instruction limit reached!
% 0.20/0.55  % (21388)------------------------------
% 0.20/0.55  % (21388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (21392)Instruction limit reached!
% 0.20/0.55  % (21392)------------------------------
% 0.20/0.55  % (21392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (21392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (21392)Termination reason: Unknown
% 0.20/0.55  % (21392)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (21392)Memory used [KB]: 6012
% 0.20/0.55  % (21392)Time elapsed: 0.151 s
% 0.20/0.55  % (21392)Instructions burned: 9 (million)
% 0.20/0.55  % (21392)------------------------------
% 0.20/0.55  % (21392)------------------------------
% 0.20/0.55  % (21388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (21388)Termination reason: Unknown
% 0.20/0.55  % (21388)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (21388)Memory used [KB]: 5884
% 0.20/0.55  % (21388)Time elapsed: 0.003 s
% 0.20/0.55  % (21388)Instructions burned: 3 (million)
% 0.20/0.55  % (21388)------------------------------
% 0.20/0.55  % (21388)------------------------------
% 0.20/0.55  % (21396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (21396)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (21396)Memory used [KB]: 5884
% 0.20/0.56  % (21384)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)
% 0.20/0.56  % (21403)Instruction limit reached!
% 0.20/0.56  % (21403)------------------------------
% 0.20/0.56  % (21403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (21394)Instruction limit reached!
% 0.20/0.56  % (21394)------------------------------
% 0.20/0.56  % (21394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (21396)Time elapsed: 0.149 s
% 0.20/0.56  % (21396)Instructions burned: 5 (million)
% 0.20/0.56  % (21396)------------------------------
% 0.20/0.56  % (21396)------------------------------
% 0.20/0.56  % (21379)Instruction limit reached!
% 0.20/0.56  % (21379)------------------------------
% 0.20/0.56  % (21379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (21390)Instruction limit reached!
% 0.20/0.57  % (21390)------------------------------
% 0.20/0.57  % (21390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (21390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (21390)Termination reason: Unknown
% 0.20/0.57  % (21390)Termination phase: Finite model building preprocessing
% 0.20/0.57  
% 0.20/0.57  % (21390)Memory used [KB]: 1407
% 0.20/0.57  % (21390)Time elapsed: 0.004 s
% 0.20/0.57  % (21390)Instructions burned: 6 (million)
% 0.20/0.57  % (21390)------------------------------
% 0.20/0.57  % (21390)------------------------------
% 0.20/0.57  % (21380)Instruction limit reached!
% 0.20/0.57  % (21380)------------------------------
% 0.20/0.57  % (21380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (21380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (21380)Termination reason: Unknown
% 0.20/0.57  % (21380)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (21380)Memory used [KB]: 6268
% 0.20/0.57  % (21380)Time elapsed: 0.146 s
% 0.20/0.57  % (21380)Instructions burned: 25 (million)
% 0.20/0.57  % (21380)------------------------------
% 0.20/0.57  % (21380)------------------------------
% 0.20/0.57  % (21377)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)
% 0.20/0.57  % (21389)Instruction limit reached!
% 0.20/0.57  % (21389)------------------------------
% 0.20/0.57  % (21389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (21394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (21394)Termination reason: Unknown
% 0.20/0.57  % (21394)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (21394)Memory used [KB]: 6012
% 0.20/0.57  % (21394)Time elapsed: 0.149 s
% 0.20/0.57  % (21394)Instructions burned: 8 (million)
% 0.20/0.57  % (21394)------------------------------
% 0.20/0.57  % (21394)------------------------------
% 0.20/0.58  % (21403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (21403)Termination reason: Unknown
% 0.20/0.58  % (21403)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (21403)Memory used [KB]: 6268
% 0.20/0.58  % (21403)Time elapsed: 0.138 s
% 0.20/0.58  % (21403)Instructions burned: 20 (million)
% 0.20/0.58  % (21403)------------------------------
% 0.20/0.58  % (21403)------------------------------
% 0.20/0.58  % (21379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (21379)Termination reason: Unknown
% 0.20/0.58  % (21379)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (21379)Memory used [KB]: 6652
% 0.20/0.58  % (21379)Time elapsed: 0.152 s
% 0.20/0.58  % (21379)Instructions burned: 35 (million)
% 0.20/0.58  % (21379)------------------------------
% 0.20/0.58  % (21379)------------------------------
% 0.20/0.58  % (21377)Instruction limit reached!
% 0.20/0.58  % (21377)------------------------------
% 0.20/0.58  % (21377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (21377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (21377)Termination reason: Unknown
% 0.20/0.58  % (21377)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (21377)Memory used [KB]: 5884
% 0.20/0.58  % (21377)Time elapsed: 0.004 s
% 0.20/0.58  % (21377)Instructions burned: 4 (million)
% 0.20/0.58  % (21377)------------------------------
% 0.20/0.58  % (21377)------------------------------
% 0.20/0.58  % (21389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (21389)Termination reason: Unknown
% 0.20/0.58  % (21389)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (21389)Memory used [KB]: 1663
% 0.20/0.58  % (21389)Time elapsed: 0.132 s
% 0.20/0.58  % (21389)Instructions burned: 31 (million)
% 0.20/0.58  % (21389)------------------------------
% 0.20/0.58  % (21389)------------------------------
% 0.20/0.59  % (21393)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)
% 0.20/0.59  % (21381)Instruction limit reached!
% 0.20/0.59  % (21381)------------------------------
% 0.20/0.59  % (21381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (21381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (21381)Termination reason: Unknown
% 0.20/0.59  % (21381)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (21381)Memory used [KB]: 1663
% 0.20/0.59  % (21381)Time elapsed: 0.157 s
% 0.20/0.59  % (21381)Instructions burned: 50 (million)
% 0.20/0.59  % (21381)------------------------------
% 0.20/0.59  % (21381)------------------------------
% 0.20/0.60  % (21385)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)
% 0.20/0.60  % (21378)Instruction limit reached!
% 0.20/0.60  % (21378)------------------------------
% 0.20/0.60  % (21378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (21386)Instruction limit reached!
% 0.20/0.60  % (21386)------------------------------
% 0.20/0.60  % (21386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (21386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (21386)Termination reason: Unknown
% 0.20/0.60  % (21386)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (21386)Memory used [KB]: 6140
% 0.20/0.60  % (21386)Time elapsed: 0.180 s
% 0.20/0.60  % (21386)Instructions burned: 23 (million)
% 0.20/0.60  % (21386)------------------------------
% 0.20/0.60  % (21386)------------------------------
% 0.20/0.60  % (21378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (21378)Termination reason: Unknown
% 0.20/0.60  % (21378)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (21378)Memory used [KB]: 6780
% 0.20/0.60  % (21378)Time elapsed: 0.174 s
% 0.20/0.60  % (21378)Instructions burned: 43 (million)
% 0.20/0.60  % (21378)------------------------------
% 0.20/0.60  % (21378)------------------------------
% 0.20/0.60  % (21401)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)
% 0.20/0.60  % (21376)Instruction limit reached!
% 0.20/0.60  % (21376)------------------------------
% 0.20/0.60  % (21376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (21375)First to succeed.
% 0.20/0.61  % (21376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (21376)Termination reason: Unknown
% 0.20/0.61  % (21376)Termination phase: Saturation
% 0.20/0.61  
% 0.20/0.61  % (21376)Memory used [KB]: 1663
% 0.20/0.61  % (21376)Time elapsed: 0.175 s
% 0.20/0.61  % (21376)Instructions burned: 44 (million)
% 0.20/0.61  % (21376)------------------------------
% 0.20/0.61  % (21376)------------------------------
% 1.94/0.62  % (21385)Instruction limit reached!
% 1.94/0.62  % (21385)------------------------------
% 1.94/0.62  % (21385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62  % (21401)Refutation not found, incomplete strategy% (21401)------------------------------
% 1.94/0.62  % (21401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62  % (21401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.62  % (21401)Termination reason: Refutation not found, incomplete strategy
% 1.94/0.62  
% 1.94/0.62  % (21401)Memory used [KB]: 6012
% 1.94/0.62  % (21401)Time elapsed: 0.183 s
% 1.94/0.62  % (21401)Instructions burned: 6 (million)
% 1.94/0.62  % (21401)------------------------------
% 1.94/0.62  % (21401)------------------------------
% 1.94/0.62  % (21385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.62  % (21385)Termination reason: Unknown
% 1.94/0.62  % (21385)Termination phase: Saturation
% 1.94/0.62  
% 1.94/0.62  % (21385)Memory used [KB]: 5884
% 1.94/0.62  % (21385)Time elapsed: 0.202 s
% 1.94/0.62  % (21385)Instructions burned: 7 (million)
% 1.94/0.62  % (21385)------------------------------
% 1.94/0.62  % (21385)------------------------------
% 1.94/0.63  % (21399)Instruction limit reached!
% 1.94/0.63  % (21399)------------------------------
% 1.94/0.63  % (21399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.63  % (21375)Refutation found. Thanks to Tanya!
% 1.94/0.63  % SZS status Unsatisfiable for theBenchmark
% 1.94/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.63  % (21375)------------------------------
% 1.94/0.63  % (21375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.63  % (21375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.63  % (21375)Termination reason: Refutation
% 1.94/0.63  
% 1.94/0.63  % (21375)Memory used [KB]: 6652
% 1.94/0.63  % (21375)Time elapsed: 0.197 s
% 1.94/0.63  % (21375)Instructions burned: 43 (million)
% 1.94/0.63  % (21375)------------------------------
% 1.94/0.63  % (21375)------------------------------
% 1.94/0.63  % (21374)Success in time 0.276 s
%------------------------------------------------------------------------------