TSTP Solution File: GRP287-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP287-1 : 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 : n023.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 16:15:12 EDT 2022

% Result   : Unsatisfiable 2.08s 0.63s
% Output   : Refutation 2.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   58
% Syntax   : Number of formulae    :  350 (  25 unt;   0 def)
%            Number of atoms       : 1201 ( 392 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1654 ( 803   ~; 831   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  21 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  18 con; 0-2 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1742,plain,
    $false,
    inference(avatar_sat_refutation,[],[f74,f83,f100,f105,f110,f115,f120,f121,f122,f127,f128,f129,f130,f131,f132,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f223,f322,f343,f352,f548,f635,f640,f661,f698,f924,f1168,f1316,f1373,f1399,f1413,f1419,f1676,f1693,f1714,f1740]) ).

fof(f1740,plain,
    ( spl10_22
    | ~ spl10_2
    | ~ spl10_19 ),
    inference(avatar_split_clause,[],[f1739,f1667,f71,f1690]) ).

fof(f1690,plain,
    ( spl10_22
  <=> identity = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).

fof(f71,plain,
    ( spl10_2
  <=> sk_c6 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f1667,plain,
    ( spl10_19
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).

fof(f1739,plain,
    ( identity = inverse(identity)
    | ~ spl10_2
    | ~ spl10_19 ),
    inference(forward_demodulation,[],[f1724,f1736]) ).

fof(f1736,plain,
    ( identity = sk_c3
    | ~ spl10_2
    | ~ spl10_19 ),
    inference(forward_demodulation,[],[f1734,f2]) ).

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

fof(f1734,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl10_2
    | ~ spl10_19 ),
    inference(backward_demodulation,[],[f1697,f1668]) ).

fof(f1668,plain,
    ( identity = sk_c6
    | ~ spl10_19 ),
    inference(avatar_component_clause,[],[f1667]) ).

fof(f1697,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl10_2 ),
    inference(superposition,[],[f166,f1569]) ).

fof(f1569,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl10_2 ),
    inference(backward_demodulation,[],[f532,f73]) ).

fof(f73,plain,
    ( sk_c6 = sF3
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f532,plain,
    identity = multiply(sF3,sk_c3),
    inference(superposition,[],[f2,f35]) ).

fof(f35,plain,
    inverse(sk_c3) = sF3,
    introduced(function_definition,[]) ).

fof(f166,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f155,f1]) ).

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

fof(f155,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(f1724,plain,
    ( identity = inverse(sk_c3)
    | ~ spl10_2
    | ~ spl10_19 ),
    inference(backward_demodulation,[],[f1568,f1668]) ).

fof(f1568,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl10_2 ),
    inference(backward_demodulation,[],[f35,f73]) ).

fof(f1714,plain,
    ( ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13
    | spl10_19 ),
    inference(avatar_contradiction_clause,[],[f1713]) ).

fof(f1713,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13
    | spl10_19 ),
    inference(subsumption_resolution,[],[f1711,f1669]) ).

fof(f1669,plain,
    ( identity != sk_c6
    | spl10_19 ),
    inference(avatar_component_clause,[],[f1667]) ).

fof(f1711,plain,
    ( identity = sk_c6
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f1616,f1708]) ).

fof(f1708,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f1704,f1621]) ).

fof(f1621,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f1615,f1]) ).

fof(f1615,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f1596,f1607]) ).

fof(f1607,plain,
    ( identity = sk_c7
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f1605,f2]) ).

fof(f1605,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f1592,f1598]) ).

fof(f1598,plain,
    ( sk_c6 = sk_c5
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f1434,f1597]) ).

fof(f1597,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f1595,f1568]) ).

fof(f1595,plain,
    ( sk_c6 = multiply(inverse(sk_c3),sk_c7)
    | ~ spl10_11 ),
    inference(superposition,[],[f166,f1508]) ).

fof(f1508,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f40,f109]) ).

fof(f109,plain,
    ( sk_c7 = sF6
    | ~ spl10_11 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl10_11
  <=> sk_c7 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).

fof(f40,plain,
    multiply(sk_c3,sk_c6) = sF6,
    introduced(function_definition,[]) ).

fof(f1434,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f38,f92]) ).

fof(f92,plain,
    ( sk_c5 = sF5
    | ~ spl10_7 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl10_7
  <=> sk_c5 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f38,plain,
    multiply(sk_c6,sk_c7) = sF5,
    introduced(function_definition,[]) ).

fof(f1592,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl10_7 ),
    inference(superposition,[],[f166,f1434]) ).

fof(f1596,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl10_11 ),
    inference(superposition,[],[f3,f1508]) ).

fof(f1704,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f1643,f1699]) ).

fof(f1699,plain,
    ( sk_c3 = sk_c4
    | ~ spl10_2
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f1153,f1697]) ).

fof(f1153,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl10_13 ),
    inference(superposition,[],[f166,f935]) ).

fof(f935,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f428,f119]) ).

fof(f119,plain,
    ( sk_c6 = sF9
    | ~ spl10_13 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl10_13
  <=> sk_c6 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).

fof(f428,plain,
    identity = multiply(sF9,sk_c4),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    inverse(sk_c4) = sF9,
    introduced(function_definition,[]) ).

fof(f1643,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(superposition,[],[f3,f1604]) ).

fof(f1604,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f1565,f1598]) ).

fof(f1565,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl10_3 ),
    inference(backward_demodulation,[],[f31,f78]) ).

fof(f78,plain,
    ( sk_c6 = sF1
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl10_3
  <=> sk_c6 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f31,plain,
    multiply(sk_c4,sk_c5) = sF1,
    introduced(function_definition,[]) ).

fof(f1616,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f1597,f1607]) ).

fof(f1693,plain,
    ( ~ spl10_19
    | ~ spl10_22
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(avatar_split_clause,[],[f1680,f107,f98,f91,f71,f1690,f1667]) ).

fof(f98,plain,
    ( spl10_9
  <=> ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).

fof(f1680,plain,
    ( identity != inverse(identity)
    | identity != sk_c6
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(superposition,[],[f1678,f1]) ).

fof(f1678,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f1677,f1607]) ).

fof(f1677,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,identity) )
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f99,f1607]) ).

fof(f99,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl10_9 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f1676,plain,
    ( ~ spl10_19
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(avatar_split_clause,[],[f1675,f117,f107,f95,f91,f76,f71,f1667]) ).

fof(f95,plain,
    ( spl10_8
  <=> ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

fof(f1675,plain,
    ( identity != sk_c6
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f1660,f936]) ).

fof(f936,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f46,f119]) ).

fof(f1660,plain,
    ( sk_c6 != inverse(sk_c4)
    | identity != sk_c6
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(superposition,[],[f1608,f1604]) ).

fof(f1608,plain,
    ( ! [X5] :
        ( identity != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f96,f1607]) ).

fof(f96,plain,
    ( ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f1419,plain,
    ( spl10_7
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16
    | ~ spl10_17 ),
    inference(avatar_contradiction_clause,[],[f1418]) ).

fof(f1418,plain,
    ( $false
    | spl10_7
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16
    | ~ spl10_17 ),
    inference(subsumption_resolution,[],[f1417,f1309]) ).

fof(f1309,plain,
    ( identity = sk_c5
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_17 ),
    inference(backward_demodulation,[],[f1292,f1302]) ).

fof(f1302,plain,
    ( identity = sk_c6
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f104,f311]) ).

fof(f311,plain,
    ( identity = sF7
    | ~ spl10_15 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f310,plain,
    ( spl10_15
  <=> identity = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).

fof(f104,plain,
    ( sk_c6 = sF7
    | ~ spl10_10 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl10_10
  <=> sk_c6 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).

fof(f1292,plain,
    ( sk_c6 = sk_c5
    | ~ spl10_12
    | ~ spl10_17 ),
    inference(forward_demodulation,[],[f1289,f1]) ).

fof(f1289,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl10_12
    | ~ spl10_17 ),
    inference(backward_demodulation,[],[f760,f1287]) ).

fof(f1287,plain,
    ( identity = sk_c2
    | ~ spl10_17 ),
    inference(forward_demodulation,[],[f1284,f2]) ).

fof(f1284,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl10_17 ),
    inference(backward_demodulation,[],[f206,f1282]) ).

fof(f1282,plain,
    ( identity = sF8
    | ~ spl10_17 ),
    inference(backward_demodulation,[],[f43,f325]) ).

fof(f325,plain,
    ( identity = inverse(sk_c2)
    | ~ spl10_17 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f324,plain,
    ( spl10_17
  <=> identity = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).

fof(f43,plain,
    inverse(sk_c2) = sF8,
    introduced(function_definition,[]) ).

fof(f206,plain,
    sk_c2 = multiply(inverse(sF8),identity),
    inference(superposition,[],[f166,f152]) ).

fof(f152,plain,
    identity = multiply(sF8,sk_c2),
    inference(superposition,[],[f2,f43]) ).

fof(f760,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | ~ spl10_12 ),
    inference(backward_demodulation,[],[f36,f114]) ).

fof(f114,plain,
    ( sk_c5 = sF4
    | ~ spl10_12 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl10_12
  <=> sk_c5 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).

fof(f36,plain,
    multiply(sk_c2,sk_c6) = sF4,
    introduced(function_definition,[]) ).

fof(f1417,plain,
    ( identity != sk_c5
    | spl10_7
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f93,f1416]) ).

fof(f1416,plain,
    ( identity = sF5
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f1415,f1]) ).

fof(f1415,plain,
    ( sF5 = multiply(identity,identity)
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f1414,f1302]) ).

fof(f1414,plain,
    ( sF5 = multiply(sk_c6,identity)
    | ~ spl10_14
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f38,f1263]) ).

fof(f1263,plain,
    ( identity = sk_c7
    | ~ spl10_14
    | ~ spl10_16 ),
    inference(backward_demodulation,[],[f1259,f315]) ).

fof(f315,plain,
    ( identity = inverse(sk_c1)
    | ~ spl10_16 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f314,plain,
    ( spl10_16
  <=> identity = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).

fof(f1259,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f30,f126]) ).

fof(f126,plain,
    ( sk_c7 = sF0
    | ~ spl10_14 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl10_14
  <=> sk_c7 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).

fof(f30,plain,
    inverse(sk_c1) = sF0,
    introduced(function_definition,[]) ).

fof(f93,plain,
    ( sk_c5 != sF5
    | spl10_7 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f1413,plain,
    ( ~ spl10_9
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(avatar_contradiction_clause,[],[f1412]) ).

fof(f1412,plain,
    ( $false
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(subsumption_resolution,[],[f1407,f1277]) ).

fof(f1277,plain,
    ( identity = inverse(identity)
    | ~ spl10_14
    | ~ spl10_16 ),
    inference(backward_demodulation,[],[f315,f1276]) ).

fof(f1276,plain,
    ( identity = sk_c1
    | ~ spl10_14
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f1270,f2]) ).

fof(f1270,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl10_14
    | ~ spl10_16 ),
    inference(backward_demodulation,[],[f1262,f1263]) ).

fof(f1262,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f205,f126]) ).

fof(f205,plain,
    sk_c1 = multiply(inverse(sF0),identity),
    inference(superposition,[],[f166,f151]) ).

fof(f151,plain,
    identity = multiply(sF0,sk_c1),
    inference(superposition,[],[f2,f30]) ).

fof(f1407,plain,
    ( identity != inverse(identity)
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(trivial_inequality_removal,[],[f1403]) ).

fof(f1403,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(superposition,[],[f1402,f1]) ).

fof(f1402,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f1401,f1302]) ).

fof(f1401,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c6 != multiply(X3,identity) )
    | ~ spl10_9
    | ~ spl10_14
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f1400,f1263]) ).

fof(f1400,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,identity) )
    | ~ spl10_9
    | ~ spl10_14
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f99,f1263]) ).

fof(f1399,plain,
    ( ~ spl10_8
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(avatar_contradiction_clause,[],[f1398]) ).

fof(f1398,plain,
    ( $false
    | ~ spl10_8
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(subsumption_resolution,[],[f1397,f1277]) ).

fof(f1397,plain,
    ( identity != inverse(identity)
    | ~ spl10_8
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f1393,f1277]) ).

fof(f1393,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl10_8
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(trivial_inequality_removal,[],[f1391]) ).

fof(f1391,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl10_8
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(superposition,[],[f1333,f2]) ).

fof(f1333,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl10_8
    | ~ spl10_10
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f1332,f1263]) ).

fof(f1332,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl10_8
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f1331,f1302]) ).

fof(f1331,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl10_8
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f96,f1302]) ).

fof(f1373,plain,
    ( spl10_3
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_15
    | ~ spl10_17 ),
    inference(avatar_contradiction_clause,[],[f1372]) ).

fof(f1372,plain,
    ( $false
    | spl10_3
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_15
    | ~ spl10_17 ),
    inference(subsumption_resolution,[],[f1371,f1369]) ).

fof(f1369,plain,
    ( identity != sF1
    | spl10_3
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f77,f1302]) ).

fof(f77,plain,
    ( sk_c6 != sF1
    | spl10_3 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f1371,plain,
    ( identity = sF1
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_15
    | ~ spl10_17 ),
    inference(forward_demodulation,[],[f1370,f1]) ).

fof(f1370,plain,
    ( multiply(identity,identity) = sF1
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_15
    | ~ spl10_17 ),
    inference(forward_demodulation,[],[f1356,f1368]) ).

fof(f1368,plain,
    ( identity = sk_c4
    | ~ spl10_10
    | ~ spl10_13
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f1367,f2]) ).

fof(f1367,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl10_10
    | ~ spl10_13
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f1153,f1302]) ).

fof(f1356,plain,
    ( sF1 = multiply(sk_c4,identity)
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_17 ),
    inference(forward_demodulation,[],[f31,f1309]) ).

fof(f1316,plain,
    ( ~ spl10_2
    | ~ spl10_3
    | ~ spl10_10
    | spl10_11
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16
    | ~ spl10_17 ),
    inference(avatar_contradiction_clause,[],[f1315]) ).

fof(f1315,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_10
    | spl10_11
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_16
    | ~ spl10_17 ),
    inference(subsumption_resolution,[],[f1313,f1264]) ).

fof(f1264,plain,
    ( identity != sF6
    | spl10_11
    | ~ spl10_14
    | ~ spl10_16 ),
    inference(backward_demodulation,[],[f108,f1263]) ).

fof(f108,plain,
    ( sk_c7 != sF6
    | spl10_11 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f1313,plain,
    ( identity = sF6
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_15
    | ~ spl10_17 ),
    inference(backward_demodulation,[],[f1296,f1302]) ).

fof(f1296,plain,
    ( sk_c6 = sF6
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_17 ),
    inference(backward_demodulation,[],[f40,f1294]) ).

fof(f1294,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_17 ),
    inference(backward_demodulation,[],[f1281,f1292]) ).

fof(f1281,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f146,f1172]) ).

fof(f1172,plain,
    ( sk_c3 = sk_c4
    | ~ spl10_2
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f1153,f1170]) ).

fof(f1170,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl10_2 ),
    inference(superposition,[],[f166,f940]) ).

fof(f940,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl10_2 ),
    inference(backward_demodulation,[],[f532,f73]) ).

fof(f146,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl10_3 ),
    inference(backward_demodulation,[],[f31,f78]) ).

fof(f1168,plain,
    ( ~ spl10_2
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(avatar_contradiction_clause,[],[f1167]) ).

fof(f1167,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f1165,f936]) ).

fof(f1165,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(trivial_inequality_removal,[],[f1161]) ).

fof(f1161,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(superposition,[],[f1120,f1123]) ).

fof(f1123,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f146,f1118]) ).

fof(f1118,plain,
    ( sk_c6 = sk_c5
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f145,f938]) ).

fof(f938,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f456,f73]) ).

fof(f456,plain,
    ( sk_c6 = multiply(sF3,sk_c7)
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f201,f35]) ).

fof(f201,plain,
    ( sk_c6 = multiply(inverse(sk_c3),sk_c7)
    | ~ spl10_11 ),
    inference(superposition,[],[f166,f147]) ).

fof(f147,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f40,f109]) ).

fof(f145,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl10_7 ),
    inference(backward_demodulation,[],[f38,f92]) ).

fof(f1120,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl10_2
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f89,f1118]) ).

fof(f89,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c6) )
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl10_6
  <=> ! [X4] :
        ( sk_c5 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

fof(f924,plain,
    ( ~ spl10_4
    | ~ spl10_6
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_17
    | ~ spl10_18 ),
    inference(avatar_contradiction_clause,[],[f923]) ).

fof(f923,plain,
    ( $false
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_17
    | ~ spl10_18 ),
    inference(subsumption_resolution,[],[f912,f834]) ).

fof(f834,plain,
    ( identity = inverse(identity)
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_15
    | ~ spl10_17 ),
    inference(backward_demodulation,[],[f325,f831]) ).

fof(f831,plain,
    ( identity = sk_c2
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f830,f2]) ).

fof(f830,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f332,f767]) ).

fof(f767,plain,
    ( identity = sk_c6
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f104,f311]) ).

fof(f332,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f206,f82]) ).

fof(f82,plain,
    ( sk_c6 = sF8
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl10_4
  <=> sk_c6 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f912,plain,
    ( identity != inverse(identity)
    | ~ spl10_6
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_18 ),
    inference(trivial_inequality_removal,[],[f905]) ).

fof(f905,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl10_6
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_18 ),
    inference(superposition,[],[f904,f1]) ).

fof(f904,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl10_6
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_18 ),
    inference(forward_demodulation,[],[f903,f762]) ).

fof(f762,plain,
    ( identity = sk_c5
    | ~ spl10_12
    | ~ spl10_18 ),
    inference(backward_demodulation,[],[f114,f329]) ).

fof(f329,plain,
    ( identity = sF4
    | ~ spl10_18 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl10_18
  <=> identity = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).

fof(f903,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c5 != multiply(X4,identity) )
    | ~ spl10_6
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f902,f767]) ).

fof(f902,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,sk_c6)
        | identity != inverse(X4) )
    | ~ spl10_6
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f89,f767]) ).

fof(f698,plain,
    ( spl10_18
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(avatar_split_clause,[],[f697,f124,f102,f80,f328]) ).

fof(f697,plain,
    ( identity = sF4
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f696,f1]) ).

fof(f696,plain,
    ( sF4 = multiply(identity,identity)
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f695,f637]) ).

fof(f637,plain,
    ( identity = sk_c2
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f622,f2]) ).

fof(f622,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f332,f617]) ).

fof(f617,plain,
    ( identity = sk_c6
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f615,f2]) ).

fof(f615,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f195,f614]) ).

fof(f614,plain,
    ( sk_c7 = sF2
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f33,f613]) ).

fof(f613,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f611,f104]) ).

fof(f611,plain,
    ( sk_c7 = multiply(sk_c7,sF7)
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f282,f126]) ).

fof(f282,plain,
    sk_c7 = multiply(sF0,sF7),
    inference(forward_demodulation,[],[f203,f30]) ).

fof(f203,plain,
    sk_c7 = multiply(inverse(sk_c1),sF7),
    inference(superposition,[],[f166,f41]) ).

fof(f41,plain,
    multiply(sk_c1,sk_c7) = sF7,
    introduced(function_definition,[]) ).

fof(f33,plain,
    multiply(sk_c7,sk_c6) = sF2,
    introduced(function_definition,[]) ).

fof(f195,plain,
    sk_c6 = multiply(inverse(sk_c7),sF2),
    inference(superposition,[],[f166,f33]) ).

fof(f695,plain,
    ( sF4 = multiply(sk_c2,identity)
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f36,f617]) ).

fof(f661,plain,
    ( ~ spl10_1
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_14
    | spl10_16
    | ~ spl10_18 ),
    inference(avatar_contradiction_clause,[],[f660]) ).

fof(f660,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_14
    | spl10_16
    | ~ spl10_18 ),
    inference(subsumption_resolution,[],[f650,f316]) ).

fof(f316,plain,
    ( identity != inverse(sk_c1)
    | spl10_16 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f650,plain,
    ( identity = inverse(sk_c1)
    | ~ spl10_1
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_14
    | ~ spl10_18 ),
    inference(backward_demodulation,[],[f443,f647]) ).

fof(f647,plain,
    ( identity = sk_c7
    | ~ spl10_1
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_14
    | ~ spl10_18 ),
    inference(forward_demodulation,[],[f646,f446]) ).

fof(f446,plain,
    ( identity = sk_c5
    | ~ spl10_12
    | ~ spl10_18 ),
    inference(forward_demodulation,[],[f114,f329]) ).

fof(f646,plain,
    ( sk_c7 = sk_c5
    | ~ spl10_1
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f69,f614]) ).

fof(f69,plain,
    ( sk_c5 = sF2
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f67,plain,
    ( spl10_1
  <=> sk_c5 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f443,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f30,f126]) ).

fof(f640,plain,
    ( ~ spl10_10
    | ~ spl10_14
    | spl10_15 ),
    inference(avatar_contradiction_clause,[],[f639]) ).

fof(f639,plain,
    ( $false
    | ~ spl10_10
    | ~ spl10_14
    | spl10_15 ),
    inference(subsumption_resolution,[],[f619,f312]) ).

fof(f312,plain,
    ( identity != sF7
    | spl10_15 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f619,plain,
    ( identity = sF7
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f104,f617]) ).

fof(f635,plain,
    ( spl10_17
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(avatar_split_clause,[],[f623,f124,f102,f80,f324]) ).

fof(f623,plain,
    ( identity = inverse(sk_c2)
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f335,f617]) ).

fof(f335,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f43,f82]) ).

fof(f548,plain,
    ( ~ spl10_4
    | ~ spl10_5
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_18 ),
    inference(avatar_contradiction_clause,[],[f547]) ).

fof(f547,plain,
    ( $false
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_18 ),
    inference(subsumption_resolution,[],[f546,f475]) ).

fof(f475,plain,
    ( identity = inverse(identity)
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f464,f473]) ).

fof(f473,plain,
    ( identity = sk_c2
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f463,f2]) ).

fof(f463,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(backward_demodulation,[],[f332,f457]) ).

fof(f457,plain,
    ( identity = sk_c6
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f104,f311]) ).

fof(f464,plain,
    ( identity = inverse(sk_c2)
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(backward_demodulation,[],[f335,f457]) ).

fof(f546,plain,
    ( identity != inverse(identity)
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_18 ),
    inference(forward_demodulation,[],[f541,f475]) ).

fof(f541,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl10_5
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_18 ),
    inference(trivial_inequality_removal,[],[f539]) ).

fof(f539,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl10_5
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_18 ),
    inference(superposition,[],[f514,f2]) ).

fof(f514,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl10_5
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_18 ),
    inference(forward_demodulation,[],[f513,f457]) ).

fof(f513,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c6 != multiply(X6,identity) )
    | ~ spl10_5
    | ~ spl10_10
    | ~ spl10_12
    | ~ spl10_15
    | ~ spl10_18 ),
    inference(forward_demodulation,[],[f512,f446]) ).

fof(f512,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) )
    | ~ spl10_5
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_demodulation,[],[f86,f457]) ).

fof(f86,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) )
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl10_5
  <=> ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f352,plain,
    ( spl10_15
    | ~ spl10_2
    | ~ spl10_11
    | ~ spl10_14 ),
    inference(avatar_split_clause,[],[f351,f124,f107,f71,f310]) ).

fof(f351,plain,
    ( identity = sF7
    | ~ spl10_2
    | ~ spl10_11
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f347,f1]) ).

fof(f347,plain,
    ( multiply(identity,identity) = sF7
    | ~ spl10_2
    | ~ spl10_11
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f210,f344]) ).

fof(f344,plain,
    ( identity = sk_c1
    | ~ spl10_2
    | ~ spl10_11
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f339,f2]) ).

fof(f339,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl10_2
    | ~ spl10_11
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f205,f337]) ).

fof(f337,plain,
    ( identity = sF0
    | ~ spl10_2
    | ~ spl10_11
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f126,f208]) ).

fof(f208,plain,
    ( identity = sk_c7
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f198,f2]) ).

fof(f198,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(superposition,[],[f166,f173]) ).

fof(f173,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(superposition,[],[f165,f147]) ).

fof(f165,plain,
    ( ! [X10] : multiply(sk_c6,multiply(sk_c3,X10)) = X10
    | ~ spl10_2 ),
    inference(forward_demodulation,[],[f158,f1]) ).

fof(f158,plain,
    ( ! [X10] : multiply(sk_c6,multiply(sk_c3,X10)) = multiply(identity,X10)
    | ~ spl10_2 ),
    inference(superposition,[],[f3,f149]) ).

fof(f149,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl10_2 ),
    inference(superposition,[],[f2,f148]) ).

fof(f148,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl10_2 ),
    inference(backward_demodulation,[],[f35,f73]) ).

fof(f210,plain,
    ( multiply(sk_c1,identity) = sF7
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f41,f208]) ).

fof(f343,plain,
    ( spl10_16
    | ~ spl10_2
    | ~ spl10_11
    | ~ spl10_14 ),
    inference(avatar_split_clause,[],[f342,f124,f107,f71,f314]) ).

fof(f342,plain,
    ( identity = inverse(sk_c1)
    | ~ spl10_2
    | ~ spl10_11
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f30,f337]) ).

fof(f322,plain,
    ( ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f307,f262]) ).

fof(f262,plain,
    ( identity = inverse(identity)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f244,f257]) ).

fof(f257,plain,
    ( identity = sk_c3
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f252,f2]) ).

fof(f252,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f199,f239]) ).

fof(f239,plain,
    ( identity = sk_c6
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f216,f235]) ).

fof(f235,plain,
    ( ! [X12] : multiply(sk_c6,X12) = X12
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f233,f220]) ).

fof(f220,plain,
    ( ! [X11] : multiply(sk_c3,multiply(sk_c6,X11)) = X11
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f214,f1]) ).

fof(f214,plain,
    ( ! [X11] : multiply(sk_c3,multiply(sk_c6,X11)) = multiply(identity,X11)
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f159,f208]) ).

fof(f159,plain,
    ( ! [X11] : multiply(sk_c3,multiply(sk_c6,X11)) = multiply(sk_c7,X11)
    | ~ spl10_11 ),
    inference(superposition,[],[f3,f147]) ).

fof(f233,plain,
    ( ! [X12] : multiply(sk_c6,X12) = multiply(sk_c3,multiply(sk_c6,X12))
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f176,f230]) ).

fof(f230,plain,
    ( sk_c3 = sk_c4
    | ~ spl10_2
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f200,f199]) ).

fof(f200,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl10_13 ),
    inference(superposition,[],[f166,f150]) ).

fof(f150,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl10_13 ),
    inference(superposition,[],[f2,f144]) ).

fof(f144,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f46,f119]) ).

fof(f176,plain,
    ( ! [X12] : multiply(sk_c6,X12) = multiply(sk_c4,multiply(sk_c6,X12))
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f160,f175]) ).

fof(f175,plain,
    ( sk_c6 = sk_c5
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f145,f173]) ).

fof(f160,plain,
    ( ! [X12] : multiply(sk_c6,X12) = multiply(sk_c4,multiply(sk_c5,X12))
    | ~ spl10_3 ),
    inference(superposition,[],[f3,f146]) ).

fof(f216,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f173,f208]) ).

fof(f199,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl10_2 ),
    inference(superposition,[],[f166,f149]) ).

fof(f244,plain,
    ( identity = inverse(sk_c3)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f148,f239]) ).

fof(f307,plain,
    ( identity != inverse(identity)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(trivial_inequality_removal,[],[f302]) ).

fof(f302,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(superposition,[],[f289,f1]) ).

fof(f289,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f288,f239]) ).

fof(f288,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c6 != multiply(X6,identity) )
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f287,f239]) ).

fof(f287,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,identity) )
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f86,f247]) ).

fof(f247,plain,
    ( identity = sk_c5
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f175,f239]) ).

fof(f223,plain,
    ( spl10_1
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(avatar_contradiction_clause,[],[f222]) ).

fof(f222,plain,
    ( $false
    | spl10_1
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(subsumption_resolution,[],[f221,f178]) ).

fof(f178,plain,
    ( sk_c6 != sF2
    | spl10_1
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f68,f175]) ).

fof(f68,plain,
    ( sk_c5 != sF2
    | spl10_1 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f221,plain,
    ( sk_c6 = sF2
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f209,f1]) ).

fof(f209,plain,
    ( sF2 = multiply(identity,sk_c6)
    | ~ spl10_2
    | ~ spl10_11 ),
    inference(backward_demodulation,[],[f33,f208]) ).

fof(f143,plain,
    ( spl10_12
    | spl10_2 ),
    inference(avatar_split_clause,[],[f37,f71,f112]) ).

fof(f37,plain,
    ( sk_c6 = sF3
    | sk_c5 = sF4 ),
    inference(definition_folding,[],[f21,f36,f35]) ).

fof(f21,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f142,plain,
    ( spl10_14
    | spl10_2 ),
    inference(avatar_split_clause,[],[f55,f71,f124]) ).

fof(f55,plain,
    ( sk_c6 = sF3
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f16,f35,f30]) ).

fof(f16,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f141,plain,
    ( spl10_14
    | spl10_11 ),
    inference(avatar_split_clause,[],[f50,f107,f124]) ).

fof(f50,plain,
    ( sk_c7 = sF6
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f15,f30,f40]) ).

fof(f15,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f140,plain,
    ( spl10_12
    | spl10_7 ),
    inference(avatar_split_clause,[],[f48,f91,f112]) ).

fof(f48,plain,
    ( sk_c5 = sF5
    | sk_c5 = sF4 ),
    inference(definition_folding,[],[f19,f36,f38]) ).

fof(f19,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f139,plain,
    ( spl10_14
    | spl10_7 ),
    inference(avatar_split_clause,[],[f39,f91,f124]) ).

fof(f39,plain,
    ( sk_c5 = sF5
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f14,f38,f30]) ).

fof(f14,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f138,plain,
    ( spl10_12
    | spl10_13 ),
    inference(avatar_split_clause,[],[f64,f117,f112]) ).

fof(f64,plain,
    ( sk_c6 = sF9
    | sk_c5 = sF4 ),
    inference(definition_folding,[],[f22,f46,f36]) ).

fof(f22,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f137,plain,
    ( spl10_2
    | spl10_4 ),
    inference(avatar_split_clause,[],[f63,f80,f71]) ).

fof(f63,plain,
    ( sk_c6 = sF8
    | sk_c6 = sF3 ),
    inference(definition_folding,[],[f26,f35,f43]) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f136,plain,
    ( spl10_13
    | spl10_10 ),
    inference(avatar_split_clause,[],[f65,f102,f117]) ).

fof(f65,plain,
    ( sk_c6 = sF7
    | sk_c6 = sF9 ),
    inference(definition_folding,[],[f12,f41,f46]) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f135,plain,
    ( spl10_7
    | spl10_1 ),
    inference(avatar_split_clause,[],[f62,f67,f91]) ).

fof(f62,plain,
    ( sk_c5 = sF2
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f4,f38,f33]) ).

fof(f4,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f134,plain,
    ( spl10_12
    | spl10_3 ),
    inference(avatar_split_clause,[],[f58,f76,f112]) ).

fof(f58,plain,
    ( sk_c6 = sF1
    | sk_c5 = sF4 ),
    inference(definition_folding,[],[f23,f36,f31]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f132,plain,
    ( spl10_7
    | spl10_4 ),
    inference(avatar_split_clause,[],[f59,f80,f91]) ).

fof(f59,plain,
    ( sk_c6 = sF8
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f24,f43,f38]) ).

fof(f24,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f131,plain,
    ( spl10_11
    | spl10_1 ),
    inference(avatar_split_clause,[],[f52,f67,f107]) ).

fof(f52,plain,
    ( sk_c5 = sF2
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f5,f40,f33]) ).

fof(f5,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f130,plain,
    ( spl10_14
    | spl10_13 ),
    inference(avatar_split_clause,[],[f56,f117,f124]) ).

fof(f56,plain,
    ( sk_c6 = sF9
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f17,f30,f46]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f129,plain,
    ( spl10_4
    | spl10_11 ),
    inference(avatar_split_clause,[],[f44,f107,f80]) ).

fof(f44,plain,
    ( sk_c7 = sF6
    | sk_c6 = sF8 ),
    inference(definition_folding,[],[f25,f43,f40]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f128,plain,
    ( spl10_4
    | spl10_13 ),
    inference(avatar_split_clause,[],[f47,f117,f80]) ).

fof(f47,plain,
    ( sk_c6 = sF9
    | sk_c6 = sF8 ),
    inference(definition_folding,[],[f27,f43,f46]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f127,plain,
    ( spl10_3
    | spl10_14 ),
    inference(avatar_split_clause,[],[f32,f124,f76]) ).

fof(f32,plain,
    ( sk_c7 = sF0
    | sk_c6 = sF1 ),
    inference(definition_folding,[],[f18,f31,f30]) ).

fof(f18,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f122,plain,
    ( spl10_3
    | spl10_10 ),
    inference(avatar_split_clause,[],[f53,f102,f76]) ).

fof(f53,plain,
    ( sk_c6 = sF7
    | sk_c6 = sF1 ),
    inference(definition_folding,[],[f13,f41,f31]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f121,plain,
    ( spl10_7
    | spl10_10 ),
    inference(avatar_split_clause,[],[f49,f102,f91]) ).

fof(f49,plain,
    ( sk_c6 = sF7
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f9,f41,f38]) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f120,plain,
    ( spl10_1
    | spl10_13 ),
    inference(avatar_split_clause,[],[f51,f117,f67]) ).

fof(f51,plain,
    ( sk_c6 = sF9
    | sk_c5 = sF2 ),
    inference(definition_folding,[],[f7,f33,f46]) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f115,plain,
    ( spl10_12
    | spl10_11 ),
    inference(avatar_split_clause,[],[f54,f107,f112]) ).

fof(f54,plain,
    ( sk_c7 = sF6
    | sk_c5 = sF4 ),
    inference(definition_folding,[],[f20,f36,f40]) ).

fof(f20,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f110,plain,
    ( spl10_10
    | spl10_11 ),
    inference(avatar_split_clause,[],[f42,f107,f102]) ).

fof(f42,plain,
    ( sk_c7 = sF6
    | sk_c6 = sF7 ),
    inference(definition_folding,[],[f10,f41,f40]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f105,plain,
    ( spl10_10
    | spl10_2 ),
    inference(avatar_split_clause,[],[f60,f71,f102]) ).

fof(f60,plain,
    ( sk_c6 = sF3
    | sk_c6 = sF7 ),
    inference(definition_folding,[],[f11,f35,f41]) ).

fof(f11,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f100,plain,
    ( ~ spl10_1
    | spl10_5
    | spl10_6
    | ~ spl10_7
    | spl10_8
    | spl10_9 ),
    inference(avatar_split_clause,[],[f57,f98,f95,f91,f88,f85,f67]) ).

fof(f57,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != multiply(X3,sk_c7)
      | sk_c6 != inverse(X5)
      | sk_c5 != sF5
      | sk_c5 != multiply(X4,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != inverse(X6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c5 != sF2
      | sk_c6 != inverse(X4)
      | sk_c6 != multiply(X6,sk_c5) ),
    inference(definition_folding,[],[f29,f38,f33]) ).

fof(f29,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != inverse(X6)
      | sk_c5 != multiply(X4,sk_c6)
      | sk_c6 != inverse(X5)
      | multiply(sk_c7,sk_c6) != sk_c5
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c6 != multiply(X6,sk_c5)
      | sk_c7 != inverse(X3)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c6 != inverse(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f83,plain,
    ( spl10_3
    | spl10_4 ),
    inference(avatar_split_clause,[],[f61,f80,f76]) ).

fof(f61,plain,
    ( sk_c6 = sF8
    | sk_c6 = sF1 ),
    inference(definition_folding,[],[f28,f31,f43]) ).

fof(f28,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f74,plain,
    ( spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f45,f71,f67]) ).

fof(f45,plain,
    ( sk_c6 = sF3
    | sk_c5 = sF2 ),
    inference(definition_folding,[],[f6,f33,f35]) ).

fof(f6,axiom,
    ( sk_c6 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP287-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Aug 29 22:46:50 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.17/0.47  % (6936)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)
% 0.17/0.48  % (6936)Instruction limit reached!
% 0.17/0.48  % (6936)------------------------------
% 0.17/0.48  % (6936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48  % (6936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48  % (6936)Termination reason: Unknown
% 0.17/0.48  % (6936)Termination phase: Saturation
% 0.17/0.48  
% 0.17/0.48  % (6936)Memory used [KB]: 5884
% 0.17/0.48  % (6936)Time elapsed: 0.084 s
% 0.17/0.48  % (6936)Instructions burned: 4 (million)
% 0.17/0.48  % (6936)------------------------------
% 0.17/0.48  % (6936)------------------------------
% 0.17/0.48  % (6944)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)
% 0.17/0.48  % (6944)Instruction limit reached!
% 0.17/0.48  % (6944)------------------------------
% 0.17/0.48  % (6944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48  % (6944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48  % (6944)Termination reason: Unknown
% 0.17/0.48  % (6944)Termination phase: Saturation
% 0.17/0.48  
% 0.17/0.48  % (6944)Memory used [KB]: 5884
% 0.17/0.48  % (6944)Time elapsed: 0.005 s
% 0.17/0.48  % (6944)Instructions burned: 2 (million)
% 0.17/0.48  % (6944)------------------------------
% 0.17/0.48  % (6944)------------------------------
% 0.17/0.49  % (6942)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)
% 0.17/0.49  % (6939)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)
% 0.17/0.50  % (6929)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)
% 0.17/0.50  % (6952)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)
% 0.17/0.51  % (6950)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)
% 0.17/0.51  % (6930)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)
% 0.17/0.51  % (6931)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)
% 0.17/0.51  % (6928)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.17/0.51  % (6932)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)
% 0.17/0.51  % (6933)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.17/0.51  % (6931)Refutation not found, incomplete strategy% (6931)------------------------------
% 0.17/0.51  % (6931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (6931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (6931)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51  
% 0.17/0.51  % (6931)Memory used [KB]: 5884
% 0.17/0.51  % (6931)Time elapsed: 0.126 s
% 0.17/0.51  % (6931)Instructions burned: 3 (million)
% 0.17/0.51  % (6931)------------------------------
% 0.17/0.51  % (6931)------------------------------
% 0.17/0.51  % (6940)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)
% 0.17/0.51  % (6941)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)
% 0.17/0.51  % (6940)Instruction limit reached!
% 0.17/0.51  % (6940)------------------------------
% 0.17/0.51  % (6940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (6940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (6940)Termination reason: Unknown
% 0.17/0.51  % (6940)Termination phase: Saturation
% 0.17/0.51  
% 0.17/0.51  % (6940)Memory used [KB]: 5884
% 0.17/0.51  % (6940)Time elapsed: 0.126 s
% 0.17/0.51  % (6940)Instructions burned: 5 (million)
% 0.17/0.51  % (6940)------------------------------
% 0.17/0.51  % (6940)------------------------------
% 0.17/0.51  % (6941)Instruction limit reached!
% 0.17/0.51  % (6941)------------------------------
% 0.17/0.51  % (6941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (6941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (6941)Termination reason: Unknown
% 0.17/0.51  % (6941)Termination phase: Saturation
% 0.17/0.51  
% 0.17/0.51  % (6941)Memory used [KB]: 5884
% 0.17/0.51  % (6941)Time elapsed: 0.003 s
% 0.17/0.51  % (6941)Instructions burned: 4 (million)
% 0.17/0.51  % (6941)------------------------------
% 0.17/0.51  % (6941)------------------------------
% 0.17/0.52  % (6945)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.17/0.52  % (6946)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)
% 0.17/0.52  % (6956)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)
% 0.17/0.52  % (6943)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)
% 0.17/0.52  % (6956)Refutation not found, incomplete strategy% (6956)------------------------------
% 0.17/0.52  % (6956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (6956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (6956)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52  
% 0.17/0.52  % (6956)Memory used [KB]: 5884
% 0.17/0.52  % (6956)Time elapsed: 0.139 s
% 0.17/0.52  % (6956)Instructions burned: 3 (million)
% 0.17/0.52  % (6956)------------------------------
% 0.17/0.52  % (6956)------------------------------
% 0.17/0.52  % (6957)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)
% 0.17/0.52  % (6935)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)
% 0.17/0.52  % (6955)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)
% 0.17/0.52  % (6937)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)
% 0.17/0.52  % (6934)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)
% 0.17/0.52  % (6951)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)
% 0.17/0.52  % (6938)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)
% 0.17/0.52  % (6948)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)
% 0.17/0.52  % (6951)Refutation not found, incomplete strategy% (6951)------------------------------
% 0.17/0.52  % (6951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (6951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (6951)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52  
% 0.17/0.52  % (6951)Memory used [KB]: 5884
% 0.17/0.52  % (6951)Time elapsed: 0.135 s
% 0.17/0.52  % (6951)Instructions burned: 3 (million)
% 0.17/0.52  % (6951)------------------------------
% 0.17/0.52  % (6951)------------------------------
% 0.17/0.52  % (6955)Refutation not found, incomplete strategy% (6955)------------------------------
% 0.17/0.52  % (6955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (6955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (6955)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52  
% 0.17/0.52  % (6955)Memory used [KB]: 1407
% 0.17/0.52  % (6955)Time elapsed: 0.141 s
% 0.17/0.52  % (6955)Instructions burned: 7 (million)
% 0.17/0.52  % (6955)------------------------------
% 0.17/0.52  % (6955)------------------------------
% 0.17/0.53  % (6949)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)
% 0.17/0.53  % (6932)Refutation not found, incomplete strategy% (6932)------------------------------
% 0.17/0.53  % (6932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (6932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (6932)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53  
% 0.17/0.53  % (6932)Memory used [KB]: 5884
% 0.17/0.53  % (6932)Time elapsed: 0.126 s
% 0.17/0.53  % (6932)Instructions burned: 4 (million)
% 0.17/0.53  % (6932)------------------------------
% 0.17/0.53  % (6932)------------------------------
% 0.17/0.53  % (6947)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)
% 0.17/0.53  % (6954)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)
% 0.17/0.53  % (6949)Refutation not found, incomplete strategy% (6949)------------------------------
% 0.17/0.53  % (6949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (6949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (6949)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53  
% 0.17/0.53  % (6949)Memory used [KB]: 5884
% 0.17/0.53  % (6949)Time elapsed: 0.147 s
% 0.17/0.53  % (6949)Instructions burned: 2 (million)
% 0.17/0.53  % (6949)------------------------------
% 0.17/0.53  % (6949)------------------------------
% 0.17/0.53  % (6954)Refutation not found, incomplete strategy% (6954)------------------------------
% 0.17/0.53  % (6954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (6954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (6954)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53  
% 0.17/0.53  % (6954)Memory used [KB]: 5884
% 0.17/0.53  % (6954)Time elapsed: 0.145 s
% 0.17/0.53  % (6954)Instructions burned: 4 (million)
% 0.17/0.53  % (6954)------------------------------
% 0.17/0.53  % (6954)------------------------------
% 0.17/0.53  % (6930)Instruction limit reached!
% 0.17/0.53  % (6930)------------------------------
% 0.17/0.53  % (6930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (6930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (6930)Termination reason: Unknown
% 0.17/0.53  % (6930)Termination phase: Saturation
% 0.17/0.53  
% 0.17/0.53  % (6930)Memory used [KB]: 5884
% 0.17/0.53  % (6930)Time elapsed: 0.124 s
% 0.17/0.53  % (6930)Instructions burned: 5 (million)
% 0.17/0.53  % (6930)------------------------------
% 0.17/0.53  % (6930)------------------------------
% 0.17/0.53  % (6947)Instruction limit reached!
% 0.17/0.53  % (6947)------------------------------
% 0.17/0.53  % (6947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (6947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (6947)Termination reason: Unknown
% 0.17/0.53  % (6947)Termination phase: Saturation
% 0.17/0.53  
% 0.17/0.53  % (6947)Memory used [KB]: 6012
% 0.17/0.53  % (6947)Time elapsed: 0.152 s
% 0.17/0.53  % (6947)Instructions burned: 8 (million)
% 0.17/0.53  % (6947)------------------------------
% 0.17/0.53  % (6947)------------------------------
% 0.17/0.53  % (6953)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)
% 0.17/0.53  % (6939)Instruction limit reached!
% 0.17/0.53  % (6939)------------------------------
% 0.17/0.53  % (6939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (6939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (6939)Termination reason: Unknown
% 0.17/0.53  % (6939)Termination phase: Saturation
% 0.17/0.53  
% 0.17/0.53  % (6939)Memory used [KB]: 6268
% 0.17/0.53  % (6939)Time elapsed: 0.137 s
% 0.17/0.53  % (6939)Instructions burned: 24 (million)
% 0.17/0.53  % (6939)------------------------------
% 0.17/0.53  % (6939)------------------------------
% 0.17/0.54  TRYING [1]
% 0.17/0.54  TRYING [2]
% 0.17/0.54  % (6938)Instruction limit reached!
% 0.17/0.54  % (6938)------------------------------
% 0.17/0.54  % (6938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (6938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (6938)Termination reason: Unknown
% 0.17/0.54  % (6938)Termination phase: Saturation
% 0.17/0.54  
% 0.17/0.54  % (6938)Memory used [KB]: 6012
% 0.17/0.54  % (6938)Time elapsed: 0.150 s
% 0.17/0.54  % (6938)Instructions burned: 6 (million)
% 0.17/0.54  % (6938)------------------------------
% 0.17/0.54  % (6938)------------------------------
% 0.17/0.54  % (6943)Instruction limit reached!
% 0.17/0.54  % (6943)------------------------------
% 0.17/0.54  % (6943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (6945)Instruction limit reached!
% 0.17/0.54  % (6945)------------------------------
% 0.17/0.54  % (6945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (6943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (6943)Termination reason: Unknown
% 0.17/0.54  % (6945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (6943)Termination phase: Finite model building constraint generation
% 0.17/0.54  
% 0.17/0.54  % (6945)Termination reason: Unknown
% 0.17/0.54  % (6945)Termination phase: Saturation
% 0.17/0.54  
% 0.17/0.54  % (6943)Memory used [KB]: 6012
% 0.17/0.54  % (6943)Time elapsed: 0.157 s
% 0.17/0.54  % (6945)Memory used [KB]: 6012
% 0.17/0.54  % (6943)Instructions burned: 8 (million)
% 0.17/0.54  % (6945)Time elapsed: 0.142 s
% 0.17/0.54  % (6943)------------------------------
% 0.17/0.54  % (6943)------------------------------
% 0.17/0.54  % (6945)Instructions burned: 9 (million)
% 0.17/0.54  % (6945)------------------------------
% 0.17/0.54  % (6945)------------------------------
% 0.17/0.54  % (6948)Instruction limit reached!
% 0.17/0.54  % (6948)------------------------------
% 0.17/0.54  % (6948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (6948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (6948)Termination reason: Unknown
% 0.17/0.54  % (6948)Termination phase: Saturation
% 0.17/0.54  
% 0.17/0.54  % (6948)Memory used [KB]: 1407
% 0.17/0.54  % (6948)Time elapsed: 0.151 s
% 0.17/0.54  % (6948)Instructions burned: 7 (million)
% 0.17/0.54  % (6948)------------------------------
% 0.17/0.54  % (6948)------------------------------
% 0.17/0.54  % (6942)Instruction limit reached!
% 0.17/0.54  % (6942)------------------------------
% 0.17/0.54  % (6942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (6935)Refutation not found, incomplete strategy% (6935)------------------------------
% 0.17/0.54  % (6935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55  % (6935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56  % (6935)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.56  
% 0.17/0.56  % (6935)Memory used [KB]: 5884
% 0.17/0.56  % (6935)Time elapsed: 0.129 s
% 0.17/0.56  % (6935)Instructions burned: 3 (million)
% 0.17/0.56  % (6935)------------------------------
% 0.17/0.56  % (6935)------------------------------
% 0.17/0.56  % (6933)Instruction limit reached!
% 0.17/0.56  % (6933)------------------------------
% 0.17/0.56  % (6933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57  % (6942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57  % (6946)Instruction limit reached!
% 0.17/0.57  % (6946)------------------------------
% 0.17/0.57  % (6946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57  % (6942)Termination reason: Unknown
% 0.17/0.57  % (6942)Termination phase: Saturation
% 0.17/0.57  
% 0.17/0.57  % (6942)Memory used [KB]: 1663
% 0.17/0.57  % (6942)Time elapsed: 0.122 s
% 0.17/0.57  % (6942)Instructions burned: 31 (million)
% 0.17/0.57  % (6942)------------------------------
% 0.17/0.57  % (6942)------------------------------
% 0.17/0.58  % (6933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.58  % (6933)Termination reason: Unknown
% 0.17/0.58  % (6933)Termination phase: Saturation
% 0.17/0.58  
% 0.17/0.58  % (6933)Memory used [KB]: 6140
% 0.17/0.58  % (6933)Time elapsed: 0.162 s
% 0.17/0.58  % (6933)Instructions burned: 26 (million)
% 0.17/0.58  % (6933)------------------------------
% 0.17/0.58  % (6933)------------------------------
% 1.83/0.58  % (6929)Instruction limit reached!
% 1.83/0.58  % (6929)------------------------------
% 1.83/0.58  % (6929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.58  % (6934)Instruction limit reached!
% 1.83/0.58  % (6934)------------------------------
% 1.83/0.58  % (6934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.58  % (6946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.58  % (6946)Termination reason: Unknown
% 1.83/0.58  % (6946)Termination phase: Saturation
% 1.83/0.58  
% 1.83/0.58  % (6946)Memory used [KB]: 10618
% 1.83/0.58  % (6946)Time elapsed: 0.182 s
% 1.83/0.58  % (6946)Instructions burned: 29 (million)
% 1.83/0.58  % (6946)------------------------------
% 1.83/0.58  % (6946)------------------------------
% 1.83/0.59  % (6929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (6929)Termination reason: Unknown
% 1.83/0.59  % (6929)Termination phase: Saturation
% 1.83/0.59  
% 1.83/0.59  % (6929)Memory used [KB]: 1791
% 1.83/0.59  % (6929)Time elapsed: 0.197 s
% 1.83/0.59  % (6929)Instructions burned: 43 (million)
% 1.83/0.59  % (6929)------------------------------
% 1.83/0.59  % (6929)------------------------------
% 1.83/0.59  % (6952)Instruction limit reached!
% 1.83/0.59  % (6952)------------------------------
% 1.83/0.59  % (6952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59  % (6952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (6952)Termination reason: Unknown
% 1.83/0.59  % (6952)Termination phase: Saturation
% 1.83/0.59  
% 1.83/0.59  % (6952)Memory used [KB]: 6524
% 1.83/0.59  % (6952)Time elapsed: 0.207 s
% 1.83/0.59  % (6952)Instructions burned: 46 (million)
% 1.83/0.59  % (6952)------------------------------
% 1.83/0.59  % (6952)------------------------------
% 1.83/0.59  % (6934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (6934)Termination reason: Unknown
% 1.83/0.59  % (6934)Termination phase: Saturation
% 1.83/0.59  
% 1.83/0.59  % (6934)Memory used [KB]: 1535
% 1.83/0.59  % (6934)Time elapsed: 0.163 s
% 1.83/0.59  % (6934)Instructions burned: 49 (million)
% 1.83/0.59  % (6934)------------------------------
% 1.83/0.59  % (6934)------------------------------
% 2.08/0.60  % (6959)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 2.08/0.61  % (6928)First to succeed.
% 2.08/0.62  % (6937)Instruction limit reached!
% 2.08/0.62  % (6937)------------------------------
% 2.08/0.62  % (6937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.62  % (6937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.62  % (6937)Termination reason: Unknown
% 2.08/0.62  % (6937)Termination phase: Saturation
% 2.08/0.62  
% 2.08/0.62  % (6937)Memory used [KB]: 6780
% 2.08/0.62  % (6937)Time elapsed: 0.208 s
% 2.08/0.62  % (6937)Instructions burned: 52 (million)
% 2.08/0.62  % (6937)------------------------------
% 2.08/0.62  % (6937)------------------------------
% 2.08/0.62  % (6958)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 2.08/0.63  % (6928)Refutation found. Thanks to Tanya!
% 2.08/0.63  % SZS status Unsatisfiable for theBenchmark
% 2.08/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.63  % (6928)------------------------------
% 2.08/0.63  % (6928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.63  % (6928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.63  % (6928)Termination reason: Refutation
% 2.08/0.63  
% 2.08/0.63  % (6928)Memory used [KB]: 6396
% 2.08/0.63  % (6928)Time elapsed: 0.230 s
% 2.08/0.63  % (6928)Instructions burned: 57 (million)
% 2.08/0.63  % (6928)------------------------------
% 2.08/0.63  % (6928)------------------------------
% 2.08/0.63  % (6927)Success in time 0.283 s
%------------------------------------------------------------------------------