TSTP Solution File: GRP283-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP283-1 : 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 : n003.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 16:15:11 EDT 2022

% Result   : Unsatisfiable 1.98s 0.65s
% Output   : Refutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  439 (  34 unt;   0 def)
%            Number of atoms       : 1664 ( 506 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives : 2381 (1156   ~;1205   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  21 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  21 con; 0-2 aty)
%            Number of variables   :   90 (  90   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2086,plain,
    $false,
    inference(avatar_sat_refutation,[],[f99,f108,f113,f118,f132,f137,f138,f139,f152,f153,f158,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f358,f396,f422,f452,f568,f800,f822,f867,f894,f907,f954,f957,f1087,f1164,f1770,f1843,f1891,f1950,f2023,f2042,f2075]) ).

fof(f2075,plain,
    ( ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_14
    | ~ spl12_22
    | ~ spl12_24 ),
    inference(avatar_contradiction_clause,[],[f2074]) ).

fof(f2074,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_14
    | ~ spl12_22
    | ~ spl12_24 ),
    inference(subsumption_resolution,[],[f1989,f2062]) ).

fof(f2062,plain,
    ( identity = sk_c7
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_22
    | ~ spl12_24 ),
    inference(forward_demodulation,[],[f2060,f2008]) ).

fof(f2008,plain,
    ( identity = inverse(identity)
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1972,f2007]) ).

fof(f2007,plain,
    ( identity = sk_c5
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1969,f2]) ).

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

fof(f1969,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f958,f1957]) ).

fof(f1957,plain,
    ( identity = sk_c8
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f112,f916]) ).

fof(f916,plain,
    ( identity = sF0
    | ~ spl12_22 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f915,plain,
    ( spl12_22
  <=> identity = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).

fof(f112,plain,
    ( sk_c8 = sF0
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl12_5
  <=> sk_c8 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f958,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl12_5 ),
    inference(backward_demodulation,[],[f925,f112]) ).

fof(f925,plain,
    sk_c5 = multiply(inverse(sF0),identity),
    inference(superposition,[],[f212,f848]) ).

fof(f848,plain,
    identity = multiply(sF0,sk_c5),
    inference(superposition,[],[f2,f42]) ).

fof(f42,plain,
    inverse(sk_c5) = sF0,
    introduced(function_definition,[]) ).

fof(f212,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f201,f1]) ).

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

fof(f201,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,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(f1972,plain,
    ( identity = inverse(sk_c5)
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f961,f1957]) ).

fof(f961,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl12_5 ),
    inference(backward_demodulation,[],[f42,f112]) ).

fof(f2060,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_22
    | ~ spl12_24 ),
    inference(backward_demodulation,[],[f1999,f1887]) ).

fof(f1887,plain,
    ( identity = sk_c6
    | ~ spl12_24 ),
    inference(avatar_component_clause,[],[f1886]) ).

fof(f1886,plain,
    ( spl12_24
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).

fof(f1999,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f963,f1995]) ).

fof(f1995,plain,
    ( sk_c6 = sk_c4
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1414,f1985]) ).

fof(f1985,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1861,f1957]) ).

fof(f1861,plain,
    ( sk_c6 = multiply(sk_c6,sk_c8)
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f1859,f1075]) ).

fof(f1075,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl12_6 ),
    inference(backward_demodulation,[],[f62,f117]) ).

fof(f117,plain,
    ( sk_c6 = sF10
    | ~ spl12_6 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl12_6
  <=> sk_c6 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

fof(f62,plain,
    inverse(sk_c7) = sF10,
    introduced(function_definition,[]) ).

fof(f1859,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c8)
    | ~ spl12_8 ),
    inference(superposition,[],[f212,f1177]) ).

fof(f1177,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f46,f126]) ).

fof(f126,plain,
    ( sk_c8 = sF3
    | ~ spl12_8 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl12_8
  <=> sk_c8 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).

fof(f46,plain,
    multiply(sk_c7,sk_c6) = sF3,
    introduced(function_definition,[]) ).

fof(f1414,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | ~ spl12_2
    | ~ spl12_6 ),
    inference(backward_demodulation,[],[f962,f1075]) ).

fof(f962,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl12_2 ),
    inference(backward_demodulation,[],[f928,f98]) ).

fof(f98,plain,
    ( sk_c7 = sF7
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl12_2
  <=> sk_c7 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f928,plain,
    sk_c4 = multiply(inverse(sF7),identity),
    inference(superposition,[],[f212,f851]) ).

fof(f851,plain,
    identity = multiply(sF7,sk_c4),
    inference(superposition,[],[f2,f54]) ).

fof(f54,plain,
    inverse(sk_c4) = sF7,
    introduced(function_definition,[]) ).

fof(f963,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl12_2 ),
    inference(backward_demodulation,[],[f54,f98]) ).

fof(f1989,plain,
    ( identity != sk_c7
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_14
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1925,f1957]) ).

fof(f1925,plain,
    ( sk_c8 != sk_c7
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f1924,f1864]) ).

fof(f1864,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl12_3
    | ~ spl12_5 ),
    inference(forward_demodulation,[],[f1862,f961]) ).

fof(f1862,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl12_3 ),
    inference(superposition,[],[f212,f1179]) ).

fof(f1179,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl12_3 ),
    inference(backward_demodulation,[],[f49,f103]) ).

fof(f103,plain,
    ( sk_c6 = sF5
    | ~ spl12_3 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl12_3
  <=> sk_c6 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

fof(f49,plain,
    multiply(sk_c5,sk_c8) = sF5,
    introduced(function_definition,[]) ).

fof(f1924,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_14 ),
    inference(subsumption_resolution,[],[f1921,f961]) ).

fof(f1921,plain,
    ( sk_c8 != inverse(sk_c5)
    | sk_c7 != multiply(sk_c8,sk_c6)
    | ~ spl12_3
    | ~ spl12_14 ),
    inference(superposition,[],[f151,f1179]) ).

fof(f151,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != inverse(X5) )
    | ~ spl12_14 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl12_14
  <=> ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).

fof(f2042,plain,
    ( spl12_24
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_22 ),
    inference(avatar_split_clause,[],[f2041,f915,f124,f115,f110,f105,f101,f1886]) ).

fof(f105,plain,
    ( spl12_4
  <=> sk_c6 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f2041,plain,
    ( identity = sk_c6
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1985,f2038]) ).

fof(f2038,plain,
    ( ! [X8] : multiply(sk_c6,X8) = X8
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1993,f2034]) ).

fof(f2034,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f2033,f1]) ).

fof(f2033,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,X0)
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f2032,f2007]) ).

fof(f2032,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f2031,f1993]) ).

fof(f2031,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1986,f1]) ).

fof(f1986,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(identity,X0))
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1863,f1957]) ).

fof(f1863,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | ~ spl12_3 ),
    inference(superposition,[],[f3,f1179]) ).

fof(f1993,plain,
    ( ! [X8] : multiply(sk_c6,X8) = multiply(sk_c7,X8)
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1974,f1]) ).

fof(f1974,plain,
    ( ! [X8] : multiply(sk_c6,X8) = multiply(identity,multiply(sk_c7,X8))
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1077,f1957]) ).

fof(f1077,plain,
    ( ! [X8] : multiply(sk_c6,X8) = multiply(sk_c8,multiply(sk_c7,X8))
    | ~ spl12_4 ),
    inference(forward_demodulation,[],[f202,f107]) ).

fof(f107,plain,
    ( sk_c6 = sF2
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f202,plain,
    ! [X8] : multiply(sk_c8,multiply(sk_c7,X8)) = multiply(sF2,X8),
    inference(superposition,[],[f3,f45]) ).

fof(f45,plain,
    multiply(sk_c8,sk_c7) = sF2,
    introduced(function_definition,[]) ).

fof(f2023,plain,
    ( spl12_24
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(avatar_split_clause,[],[f2022,f915,f110,f101,f1886]) ).

fof(f2022,plain,
    ( identity = sk_c6
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f2021,f1]) ).

fof(f2021,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1977,f2007]) ).

fof(f1977,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1179,f1957]) ).

fof(f1950,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | ~ spl12_10
    | spl12_22 ),
    inference(avatar_contradiction_clause,[],[f1949]) ).

fof(f1949,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_10
    | spl12_22 ),
    inference(subsumption_resolution,[],[f1948,f1847]) ).

fof(f1847,plain,
    ( identity != sk_c8
    | ~ spl12_5
    | spl12_22 ),
    inference(superposition,[],[f917,f112]) ).

fof(f917,plain,
    ( identity != sF0
    | spl12_22 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f1948,plain,
    ( identity = sk_c8
    | ~ spl12_2
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f1946,f2]) ).

fof(f1946,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl12_2
    | ~ spl12_10 ),
    inference(superposition,[],[f212,f1074]) ).

fof(f1074,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl12_2
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f666,f98]) ).

fof(f666,plain,
    ( sk_c7 = multiply(sF7,sk_c8)
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f242,f54]) ).

fof(f242,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c8)
    | ~ spl12_10 ),
    inference(superposition,[],[f212,f193]) ).

fof(f193,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f59,f136]) ).

fof(f136,plain,
    ( sk_c8 = sF9
    | ~ spl12_10 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl12_10
  <=> sk_c8 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).

fof(f59,plain,
    multiply(sk_c4,sk_c7) = sF9,
    introduced(function_definition,[]) ).

fof(f1891,plain,
    ( ~ spl12_3
    | ~ spl12_5
    | ~ spl12_13 ),
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1890,plain,
    ( $false
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_13 ),
    inference(subsumption_resolution,[],[f1880,f961]) ).

fof(f1880,plain,
    ( sk_c8 != inverse(sk_c5)
    | ~ spl12_3
    | ~ spl12_13 ),
    inference(trivial_inequality_removal,[],[f1877]) ).

fof(f1877,plain,
    ( sk_c8 != inverse(sk_c5)
    | sk_c6 != sk_c6
    | ~ spl12_3
    | ~ spl12_13 ),
    inference(superposition,[],[f148,f1179]) ).

fof(f148,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != inverse(X7) )
    | ~ spl12_13 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f147,plain,
    ( spl12_13
  <=> ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c6 != multiply(X7,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).

fof(f1843,plain,
    ( ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_17
    | spl12_22 ),
    inference(avatar_contradiction_clause,[],[f1842]) ).

fof(f1842,plain,
    ( $false
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_17
    | spl12_22 ),
    inference(subsumption_resolution,[],[f1841,f917]) ).

fof(f1841,plain,
    ( identity = sF0
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f112,f1788]) ).

fof(f1788,plain,
    ( identity = sk_c8
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(backward_demodulation,[],[f1645,f1783]) ).

fof(f1783,plain,
    ( ! [X12] : multiply(sk_c4,X12) = X12
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(backward_demodulation,[],[f1649,f1781]) ).

fof(f1781,plain,
    ( ! [X8] : multiply(sk_c8,X8) = X8
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(backward_demodulation,[],[f1711,f1780]) ).

fof(f1780,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl12_6
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(backward_demodulation,[],[f231,f1652]) ).

fof(f1652,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl12_6
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f1075,f1643]) ).

fof(f1643,plain,
    ( identity = sk_c7
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f162,f388]) ).

fof(f388,plain,
    ( identity = sF6
    | ~ spl12_17 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f387,plain,
    ( spl12_17
  <=> identity = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).

fof(f162,plain,
    ( sk_c7 = sF6
    | ~ spl12_16 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl12_16
  <=> sk_c7 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).

fof(f231,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f212,f1]) ).

fof(f1711,plain,
    ( ! [X8] : multiply(sk_c6,X8) = multiply(sk_c8,X8)
    | ~ spl12_4
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f1710,f1]) ).

fof(f1710,plain,
    ( ! [X8] : multiply(sk_c6,X8) = multiply(sk_c8,multiply(identity,X8))
    | ~ spl12_4
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f1077,f1643]) ).

fof(f1649,plain,
    ( ! [X12] : multiply(sk_c8,X12) = multiply(sk_c4,X12)
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f1647,f1]) ).

fof(f1647,plain,
    ( ! [X12] : multiply(sk_c8,X12) = multiply(sk_c4,multiply(identity,X12))
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(backward_demodulation,[],[f206,f1643]) ).

fof(f206,plain,
    ( ! [X12] : multiply(sk_c8,X12) = multiply(sk_c4,multiply(sk_c7,X12))
    | ~ spl12_10 ),
    inference(superposition,[],[f3,f193]) ).

fof(f1645,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(backward_demodulation,[],[f193,f1643]) ).

fof(f1770,plain,
    ( ~ spl12_5
    | ~ spl12_6
    | ~ spl12_13
    | ~ spl12_16
    | ~ spl12_17
    | ~ spl12_22 ),
    inference(avatar_contradiction_clause,[],[f1769]) ).

fof(f1769,plain,
    ( $false
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_13
    | ~ spl12_16
    | ~ spl12_17
    | ~ spl12_22 ),
    inference(subsumption_resolution,[],[f1762,f1673]) ).

fof(f1673,plain,
    ( identity = inverse(identity)
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1662,f1672]) ).

fof(f1672,plain,
    ( identity = sk_c5
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1660,f2]) ).

fof(f1660,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f958,f1406]) ).

fof(f1406,plain,
    ( identity = sk_c8
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f112,f916]) ).

fof(f1662,plain,
    ( identity = inverse(sk_c5)
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f961,f1406]) ).

fof(f1762,plain,
    ( identity != inverse(identity)
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_13
    | ~ spl12_16
    | ~ spl12_17
    | ~ spl12_22 ),
    inference(trivial_inequality_removal,[],[f1753]) ).

fof(f1753,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_13
    | ~ spl12_16
    | ~ spl12_17
    | ~ spl12_22 ),
    inference(superposition,[],[f1682,f1]) ).

fof(f1682,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_13
    | ~ spl12_16
    | ~ spl12_17
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1681,f1675]) ).

fof(f1675,plain,
    ( identity = sk_c6
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_16
    | ~ spl12_17
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1652,f1673]) ).

fof(f1681,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl12_5
    | ~ spl12_13
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1657,f1406]) ).

fof(f1657,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c6 != multiply(X7,identity) )
    | ~ spl12_5
    | ~ spl12_13
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f148,f1406]) ).

fof(f1164,plain,
    ( ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | spl12_7
    | ~ spl12_9
    | ~ spl12_20
    | ~ spl12_22 ),
    inference(avatar_contradiction_clause,[],[f1163]) ).

fof(f1163,plain,
    ( $false
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | spl12_7
    | ~ spl12_9
    | ~ spl12_20
    | ~ spl12_22 ),
    inference(subsumption_resolution,[],[f1162,f1155]) ).

fof(f1155,plain,
    ( identity != sk_c7
    | ~ spl12_5
    | spl12_7
    | ~ spl12_9
    | ~ spl12_20
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f121,f1148]) ).

fof(f1148,plain,
    ( identity = sF4
    | ~ spl12_5
    | ~ spl12_9
    | ~ spl12_20
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1147,f1]) ).

fof(f1147,plain,
    ( multiply(identity,identity) = sF4
    | ~ spl12_5
    | ~ spl12_9
    | ~ spl12_20
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1146,f1089]) ).

fof(f1089,plain,
    ( identity = sk_c8
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f112,f916]) ).

fof(f1146,plain,
    ( sF4 = multiply(sk_c8,identity)
    | ~ spl12_9
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f48,f1141]) ).

fof(f1141,plain,
    ( identity = sk_c3
    | ~ spl12_9
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f131,f403]) ).

fof(f403,plain,
    ( identity = sF8
    | ~ spl12_20 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f402,plain,
    ( spl12_20
  <=> identity = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).

fof(f131,plain,
    ( sk_c3 = sF8
    | ~ spl12_9 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl12_9
  <=> sk_c3 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).

fof(f48,plain,
    multiply(sk_c8,sk_c3) = sF4,
    introduced(function_definition,[]) ).

fof(f121,plain,
    ( sk_c7 != sF4
    | spl12_7 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl12_7
  <=> sk_c7 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).

fof(f1162,plain,
    ( identity = sk_c7
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1160,f1]) ).

fof(f1160,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1130,f1159]) ).

fof(f1159,plain,
    ( identity = sk_c5
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1158,f2]) ).

fof(f1158,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f958,f1089]) ).

fof(f1130,plain,
    ( sk_c7 = multiply(sk_c5,identity)
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f1090,f1129]) ).

fof(f1129,plain,
    ( sk_c7 = sF5
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f103,f1116]) ).

fof(f1116,plain,
    ( sk_c7 = sk_c6
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(forward_demodulation,[],[f1100,f1]) ).

fof(f1100,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f817,f1089]) ).

fof(f817,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl12_4 ),
    inference(forward_demodulation,[],[f45,f107]) ).

fof(f1090,plain,
    ( sF5 = multiply(sk_c5,identity)
    | ~ spl12_5
    | ~ spl12_22 ),
    inference(backward_demodulation,[],[f49,f1089]) ).

fof(f1087,plain,
    ( spl12_17
    | ~ spl12_1
    | ~ spl12_15
    | ~ spl12_20 ),
    inference(avatar_split_clause,[],[f1086,f402,f155,f92,f387]) ).

fof(f92,plain,
    ( spl12_1
  <=> sk_c8 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f155,plain,
    ( spl12_15
  <=> sk_c8 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).

fof(f1086,plain,
    ( identity = sF6
    | ~ spl12_1
    | ~ spl12_15
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f52,f1083]) ).

fof(f1083,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl12_1
    | ~ spl12_15
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f764,f1081]) ).

fof(f1081,plain,
    ( sk_c1 = sk_c2
    | ~ spl12_1
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f426,f765]) ).

fof(f765,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f246,f94]) ).

fof(f94,plain,
    ( sk_c8 = sF1
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f246,plain,
    sk_c1 = multiply(inverse(sF1),identity),
    inference(superposition,[],[f212,f197]) ).

fof(f197,plain,
    identity = multiply(sF1,sk_c1),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    inverse(sk_c1) = sF1,
    introduced(function_definition,[]) ).

fof(f426,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f247,f157]) ).

fof(f157,plain,
    ( sk_c8 = sF11
    | ~ spl12_15 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f247,plain,
    sk_c2 = multiply(inverse(sF11),identity),
    inference(superposition,[],[f212,f198]) ).

fof(f198,plain,
    identity = multiply(sF11,sk_c2),
    inference(superposition,[],[f2,f72]) ).

fof(f72,plain,
    inverse(sk_c2) = sF11,
    introduced(function_definition,[]) ).

fof(f764,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f57,f403]) ).

fof(f57,plain,
    multiply(sk_c2,sk_c8) = sF8,
    introduced(function_definition,[]) ).

fof(f52,plain,
    multiply(sk_c1,sk_c8) = sF6,
    introduced(function_definition,[]) ).

fof(f957,plain,
    ( ~ spl12_1
    | ~ spl12_6
    | ~ spl12_7
    | spl12_8
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(avatar_contradiction_clause,[],[f956]) ).

fof(f956,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_7
    | spl12_8
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(subsumption_resolution,[],[f955,f777]) ).

fof(f777,plain,
    ( identity = sk_c8
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f566,f773]) ).

fof(f773,plain,
    ( ! [X14] : multiply(sk_c8,X14) = X14
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f677,f770]) ).

fof(f770,plain,
    ( ! [X15] : multiply(sk_c1,multiply(sk_c8,X15)) = X15
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f762,f767]) ).

fof(f767,plain,
    ( sk_c1 = sk_c2
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f763,f766]) ).

fof(f766,plain,
    ( sk_c1 = multiply(sF10,identity)
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f765,f664]) ).

fof(f664,plain,
    ( sF10 = inverse(sk_c8)
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f62,f553]) ).

fof(f553,plain,
    ( sk_c8 = sk_c7
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f550,f552]) ).

fof(f552,plain,
    ( sk_c8 = multiply(sk_c8,sk_c3)
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f511,f157]) ).

fof(f511,plain,
    ( sk_c8 = multiply(sF11,sk_c3)
    | ~ spl12_9 ),
    inference(forward_demodulation,[],[f250,f131]) ).

fof(f250,plain,
    sk_c8 = multiply(sF11,sF8),
    inference(forward_demodulation,[],[f245,f72]) ).

fof(f245,plain,
    sk_c8 = multiply(inverse(sk_c2),sF8),
    inference(superposition,[],[f212,f57]) ).

fof(f550,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f48,f122]) ).

fof(f122,plain,
    ( sk_c7 = sF4
    | ~ spl12_7 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f763,plain,
    ( sk_c2 = multiply(sF10,identity)
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f426,f664]) ).

fof(f762,plain,
    ( ! [X15] : multiply(sk_c2,multiply(sk_c8,X15)) = X15
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f761,f1]) ).

fof(f761,plain,
    ( ! [X15] : multiply(identity,X15) = multiply(sk_c2,multiply(sk_c8,X15))
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f209,f403]) ).

fof(f209,plain,
    ! [X15] : multiply(sF8,X15) = multiply(sk_c2,multiply(sk_c8,X15)),
    inference(superposition,[],[f3,f57]) ).

fof(f677,plain,
    ( ! [X14] : multiply(sk_c1,multiply(sk_c8,X14)) = multiply(sk_c8,X14)
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f208,f675]) ).

fof(f675,plain,
    ( sk_c8 = sF6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f162,f553]) ).

fof(f208,plain,
    ! [X14] : multiply(sF6,X14) = multiply(sk_c1,multiply(sk_c8,X14)),
    inference(superposition,[],[f3,f52]) ).

fof(f566,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f552,f565]) ).

fof(f565,plain,
    ( identity = sk_c3
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f563,f2]) ).

fof(f563,plain,
    ( sk_c3 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f549,f553]) ).

fof(f549,plain,
    ( sk_c3 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f236,f122]) ).

fof(f236,plain,
    sk_c3 = multiply(inverse(sk_c8),sF4),
    inference(superposition,[],[f212,f48]) ).

fof(f955,plain,
    ( identity != sk_c8
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_7
    | spl12_8
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f125,f868]) ).

fof(f868,plain,
    ( identity = sF3
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f778,f842]) ).

fof(f842,plain,
    ( identity = sk_c6
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f117,f810]) ).

fof(f810,plain,
    ( identity = sF10
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f788,f809]) ).

fof(f809,plain,
    ( identity = inverse(identity)
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f798,f802]) ).

fof(f802,plain,
    ( identity = sk_c1
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f766,f801]) ).

fof(f801,plain,
    ( ! [X0] : multiply(sF10,X0) = X0
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f231,f788]) ).

fof(f798,plain,
    ( identity = inverse(sk_c1)
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f769,f777]) ).

fof(f769,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f429,f767]) ).

fof(f429,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f72,f157]) ).

fof(f788,plain,
    ( sF10 = inverse(identity)
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f664,f777]) ).

fof(f778,plain,
    ( sk_c6 = sF3
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f756,f773]) ).

fof(f756,plain,
    ( multiply(sk_c8,sk_c6) = sF3
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f46,f553]) ).

fof(f125,plain,
    ( sk_c8 != sF3
    | spl12_8 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f954,plain,
    ( ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(avatar_contradiction_clause,[],[f953]) ).

fof(f953,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(subsumption_resolution,[],[f952,f809]) ).

fof(f952,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f948,f809]) ).

fof(f948,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(trivial_inequality_removal,[],[f946]) ).

fof(f946,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(superposition,[],[f921,f2]) ).

fof(f921,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f920,f784]) ).

fof(f784,plain,
    ( identity = sk_c7
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f553,f777]) ).

fof(f920,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f919,f777]) ).

fof(f919,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | identity != inverse(X3) )
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f142,f777]) ).

fof(f142,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) )
    | ~ spl12_11 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl12_11
  <=> ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).

fof(f907,plain,
    ( ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(avatar_contradiction_clause,[],[f906]) ).

fof(f906,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(subsumption_resolution,[],[f905,f809]) ).

fof(f905,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f904,f809]) ).

fof(f904,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(subsumption_resolution,[],[f900,f1]) ).

fof(f900,plain,
    ( identity != inverse(inverse(identity))
    | identity != multiply(identity,identity)
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(superposition,[],[f897,f2]) ).

fof(f897,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f896,f784]) ).

fof(f896,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c7 != multiply(identity,multiply(X5,identity)) )
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f895,f777]) ).

fof(f895,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) )
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f151,f777]) ).

fof(f894,plain,
    ( ~ spl12_1
    | ~ spl12_6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(avatar_contradiction_clause,[],[f893]) ).

fof(f893,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(subsumption_resolution,[],[f887,f809]) ).

fof(f887,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(trivial_inequality_removal,[],[f882]) ).

fof(f882,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(superposition,[],[f871,f1]) ).

fof(f871,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f870,f842]) ).

fof(f870,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f869,f777]) ).

fof(f869,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c6 != multiply(X7,identity) )
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f148,f777]) ).

fof(f867,plain,
    ( ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(avatar_contradiction_clause,[],[f866]) ).

fof(f866,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(subsumption_resolution,[],[f865,f809]) ).

fof(f865,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f860,f809]) ).

fof(f860,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(trivial_inequality_removal,[],[f858]) ).

fof(f858,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(superposition,[],[f808,f2]) ).

fof(f808,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f794,f777]) ).

fof(f794,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | sk_c8 != inverse(X6) )
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f753,f777]) ).

fof(f753,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X6) )
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f556,f553]) ).

fof(f556,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c8) )
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f145,f553]) ).

fof(f145,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl12_12 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl12_12
  <=> ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).

fof(f822,plain,
    ( ~ spl12_1
    | ~ spl12_4
    | spl12_6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(avatar_contradiction_clause,[],[f821]) ).

fof(f821,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_4
    | spl12_6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(subsumption_resolution,[],[f820,f813]) ).

fof(f813,plain,
    ( identity != sk_c6
    | ~ spl12_1
    | spl12_6
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f116,f810]) ).

fof(f116,plain,
    ( sk_c6 != sF10
    | spl12_6 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f820,plain,
    ( identity = sk_c6
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f819,f1]) ).

fof(f819,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f818,f777]) ).

fof(f818,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f817,f784]) ).

fof(f800,plain,
    ( spl12_17
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(avatar_split_clause,[],[f792,f402,f160,f155,f129,f120,f92,f387]) ).

fof(f792,plain,
    ( identity = sF6
    | ~ spl12_1
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f675,f777]) ).

fof(f568,plain,
    ( spl12_20
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(avatar_split_clause,[],[f567,f155,f129,f120,f402]) ).

fof(f567,plain,
    ( identity = sF8
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f131,f565]) ).

fof(f452,plain,
    ( spl12_20
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(avatar_split_clause,[],[f451,f155,f134,f115,f110,f101,f96,f402]) ).

fof(f451,plain,
    ( identity = sF8
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f450,f1]) ).

fof(f450,plain,
    ( multiply(identity,identity) = sF8
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f436,f448]) ).

fof(f448,plain,
    ( identity = sk_c2
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f440,f2]) ).

fof(f440,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f426,f435]) ).

fof(f435,plain,
    ( identity = sk_c8
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f283,f433]) ).

fof(f433,plain,
    ( ! [X12] : multiply(sk_c8,X12) = X12
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f432,f1]) ).

fof(f432,plain,
    ( ! [X12] : multiply(sk_c8,X12) = multiply(identity,X12)
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f431,f344]) ).

fof(f344,plain,
    ( identity = sk_c4
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6 ),
    inference(forward_demodulation,[],[f280,f1]) ).

fof(f280,plain,
    ( sk_c4 = multiply(identity,identity)
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6 ),
    inference(backward_demodulation,[],[f223,f268]) ).

fof(f268,plain,
    ( identity = sk_c6
    | ~ spl12_3
    | ~ spl12_5 ),
    inference(forward_demodulation,[],[f266,f2]) ).

fof(f266,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl12_3
    | ~ spl12_5 ),
    inference(superposition,[],[f212,f252]) ).

fof(f252,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl12_3
    | ~ spl12_5 ),
    inference(forward_demodulation,[],[f243,f192]) ).

fof(f192,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl12_5 ),
    inference(backward_demodulation,[],[f42,f112]) ).

fof(f243,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl12_3 ),
    inference(superposition,[],[f212,f190]) ).

fof(f190,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl12_3 ),
    inference(backward_demodulation,[],[f49,f103]) ).

fof(f223,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | ~ spl12_2
    | ~ spl12_6 ),
    inference(superposition,[],[f213,f195]) ).

fof(f195,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl12_2 ),
    inference(superposition,[],[f2,f189]) ).

fof(f189,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl12_2 ),
    inference(backward_demodulation,[],[f54,f98]) ).

fof(f213,plain,
    ( ! [X11] : multiply(sk_c6,multiply(sk_c7,X11)) = X11
    | ~ spl12_6 ),
    inference(forward_demodulation,[],[f205,f1]) ).

fof(f205,plain,
    ( ! [X11] : multiply(identity,X11) = multiply(sk_c6,multiply(sk_c7,X11))
    | ~ spl12_6 ),
    inference(superposition,[],[f3,f194]) ).

fof(f194,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl12_6 ),
    inference(superposition,[],[f2,f188]) ).

fof(f188,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl12_6 ),
    inference(backward_demodulation,[],[f62,f117]) ).

fof(f431,plain,
    ( ! [X12] : multiply(sk_c8,X12) = multiply(sk_c4,X12)
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f206,f424]) ).

fof(f424,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6 ),
    inference(forward_demodulation,[],[f231,f423]) ).

fof(f423,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6 ),
    inference(forward_demodulation,[],[f189,f344]) ).

fof(f283,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl12_3
    | ~ spl12_5 ),
    inference(backward_demodulation,[],[f252,f268]) ).

fof(f436,plain,
    ( sF8 = multiply(sk_c2,identity)
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f57,f435]) ).

fof(f422,plain,
    ( ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_12 ),
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f421,plain,
    ( $false
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_12 ),
    inference(subsumption_resolution,[],[f414,f328]) ).

fof(f328,plain,
    ( identity = inverse(identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f317,f326]) ).

fof(f326,plain,
    ( identity = sk_c5
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f319,f2]) ).

fof(f319,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f237,f307]) ).

fof(f307,plain,
    ( identity = sk_c8
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f283,f302]) ).

fof(f302,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f299,f1]) ).

fof(f299,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f257,f291]) ).

fof(f291,plain,
    ( identity = sk_c7
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f289,f2]) ).

fof(f289,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f235,f287]) ).

fof(f287,plain,
    ( sk_c8 = sF2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f265,f274]) ).

fof(f274,plain,
    ( sk_c8 = multiply(sk_c7,identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f191,f268]) ).

fof(f191,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f46,f126]) ).

fof(f265,plain,
    ( multiply(sk_c7,identity) = sF2
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f256,f45]) ).

fof(f256,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c7,identity)
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(superposition,[],[f204,f194]) ).

fof(f204,plain,
    ( ! [X10] : multiply(sk_c7,multiply(sk_c6,X10)) = multiply(sk_c8,X10)
    | ~ spl12_8 ),
    inference(superposition,[],[f3,f191]) ).

fof(f235,plain,
    sk_c7 = multiply(inverse(sk_c8),sF2),
    inference(superposition,[],[f212,f45]) ).

fof(f257,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c7,X0)
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(superposition,[],[f204,f213]) ).

fof(f237,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl12_5 ),
    inference(superposition,[],[f212,f196]) ).

fof(f196,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl12_5 ),
    inference(superposition,[],[f2,f192]) ).

fof(f317,plain,
    ( identity = inverse(sk_c5)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f192,f307]) ).

fof(f414,plain,
    ( identity != inverse(identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_12 ),
    inference(trivial_inequality_removal,[],[f409]) ).

fof(f409,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_12 ),
    inference(superposition,[],[f408,f1]) ).

fof(f408,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f407,f291]) ).

fof(f407,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | identity != multiply(X6,identity) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f406,f307]) ).

fof(f406,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,identity)
        | sk_c7 != inverse(X6) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f145,f291]) ).

fof(f396,plain,
    ( ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(avatar_contradiction_clause,[],[f395]) ).

fof(f395,plain,
    ( $false
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(subsumption_resolution,[],[f381,f328]) ).

fof(f381,plain,
    ( identity != inverse(identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(trivial_inequality_removal,[],[f376]) ).

fof(f376,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(superposition,[],[f363,f1]) ).

fof(f363,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f362,f291]) ).

fof(f362,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c7 != multiply(X3,identity) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f361,f307]) ).

fof(f361,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | identity != inverse(X3) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f142,f307]) ).

fof(f358,plain,
    ( ~ spl12_3
    | spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(avatar_contradiction_clause,[],[f357]) ).

fof(f357,plain,
    ( $false
    | ~ spl12_3
    | spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(subsumption_resolution,[],[f270,f323]) ).

fof(f323,plain,
    ( identity = sF2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f287,f307]) ).

fof(f270,plain,
    ( identity != sF2
    | ~ spl12_3
    | spl12_4
    | ~ spl12_5 ),
    inference(backward_demodulation,[],[f106,f268]) ).

fof(f106,plain,
    ( sk_c6 != sF2
    | spl12_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f187,plain,
    ( spl12_6
    | spl12_15 ),
    inference(avatar_split_clause,[],[f74,f155,f115]) ).

fof(f74,plain,
    ( sk_c8 = sF11
    | sk_c6 = sF10 ),
    inference(definition_folding,[],[f35,f72,f62]) ).

fof(f35,axiom,
    ( sk_c6 = inverse(sk_c7)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f186,plain,
    ( spl12_10
    | spl12_15 ),
    inference(avatar_split_clause,[],[f89,f155,f134]) ).

fof(f89,plain,
    ( sk_c8 = sF11
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f36,f72,f59]) ).

fof(f36,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f185,plain,
    ( spl12_4
    | spl12_2 ),
    inference(avatar_split_clause,[],[f81,f96,f105]) ).

fof(f81,plain,
    ( sk_c7 = sF7
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f7,f54,f45]) ).

fof(f7,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f184,plain,
    ( spl12_16
    | spl12_6 ),
    inference(avatar_split_clause,[],[f82,f115,f160]) ).

fof(f82,plain,
    ( sk_c6 = sF10
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f11,f62,f52]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c6 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f183,plain,
    ( spl12_8
    | spl12_16 ),
    inference(avatar_split_clause,[],[f53,f160,f124]) ).

fof(f53,plain,
    ( sk_c7 = sF6
    | sk_c8 = sF3 ),
    inference(definition_folding,[],[f10,f46,f52]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c7,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f182,plain,
    ( spl12_15
    | spl12_5 ),
    inference(avatar_split_clause,[],[f75,f110,f155]) ).

fof(f75,plain,
    ( sk_c8 = sF0
    | sk_c8 = sF11 ),
    inference(definition_folding,[],[f39,f42,f72]) ).

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

fof(f181,plain,
    ( spl12_10
    | spl12_7 ),
    inference(avatar_split_clause,[],[f60,f120,f134]) ).

fof(f60,plain,
    ( sk_c7 = sF4
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f24,f48,f59]) ).

fof(f24,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f180,plain,
    ( spl12_1
    | spl12_3 ),
    inference(avatar_split_clause,[],[f76,f101,f92]) ).

fof(f76,plain,
    ( sk_c6 = sF5
    | sk_c8 = sF1 ),
    inference(definition_folding,[],[f20,f43,f49]) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f179,plain,
    ( spl12_6
    | spl12_1 ),
    inference(avatar_split_clause,[],[f78,f92,f115]) ).

fof(f78,plain,
    ( sk_c8 = sF1
    | sk_c6 = sF10 ),
    inference(definition_folding,[],[f17,f62,f43]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f178,plain,
    ( spl12_5
    | spl12_4 ),
    inference(avatar_split_clause,[],[f69,f105,f110]) ).

fof(f69,plain,
    ( sk_c6 = sF2
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f9,f42,f45]) ).

fof(f9,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f177,plain,
    ( spl12_2
    | spl12_16 ),
    inference(avatar_split_clause,[],[f56,f160,f96]) ).

fof(f56,plain,
    ( sk_c7 = sF6
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f13,f54,f52]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f176,plain,
    ( spl12_8
    | spl12_15 ),
    inference(avatar_split_clause,[],[f77,f155,f124]) ).

fof(f77,plain,
    ( sk_c8 = sF11
    | sk_c8 = sF3 ),
    inference(definition_folding,[],[f34,f72,f46]) ).

fof(f34,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f175,plain,
    ( spl12_9
    | spl12_8 ),
    inference(avatar_split_clause,[],[f58,f124,f129]) ).

fof(f58,plain,
    ( sk_c8 = sF3
    | sk_c3 = sF8 ),
    inference(definition_folding,[],[f28,f46,f57]) ).

fof(f28,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c7,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f174,plain,
    ( spl12_5
    | spl12_9 ),
    inference(avatar_split_clause,[],[f90,f129,f110]) ).

fof(f90,plain,
    ( sk_c3 = sF8
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f33,f57,f42]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f173,plain,
    ( spl12_15
    | spl12_2 ),
    inference(avatar_split_clause,[],[f87,f96,f155]) ).

fof(f87,plain,
    ( sk_c7 = sF7
    | sk_c8 = sF11 ),
    inference(definition_folding,[],[f37,f72,f54]) ).

fof(f37,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f172,plain,
    ( spl12_10
    | spl12_16 ),
    inference(avatar_split_clause,[],[f64,f160,f134]) ).

fof(f64,plain,
    ( sk_c7 = sF6
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f12,f59,f52]) ).

fof(f12,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f171,plain,
    ( spl12_8
    | spl12_4 ),
    inference(avatar_split_clause,[],[f47,f105,f124]) ).

fof(f47,plain,
    ( sk_c6 = sF2
    | sk_c8 = sF3 ),
    inference(definition_folding,[],[f4,f46,f45]) ).

fof(f4,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c8 = multiply(sk_c7,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f170,plain,
    ( spl12_8
    | spl12_1 ),
    inference(avatar_split_clause,[],[f61,f92,f124]) ).

fof(f61,plain,
    ( sk_c8 = sF1
    | sk_c8 = sF3 ),
    inference(definition_folding,[],[f16,f43,f46]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f169,plain,
    ( spl12_7
    | spl12_5 ),
    inference(avatar_split_clause,[],[f51,f110,f120]) ).

fof(f51,plain,
    ( sk_c8 = sF0
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f27,f48,f42]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f168,plain,
    ( spl12_3
    | spl12_16 ),
    inference(avatar_split_clause,[],[f66,f160,f101]) ).

fof(f66,plain,
    ( sk_c7 = sF6
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f14,f49,f52]) ).

fof(f14,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f167,plain,
    ( spl12_6
    | spl12_7 ),
    inference(avatar_split_clause,[],[f86,f120,f115]) ).

fof(f86,plain,
    ( sk_c7 = sF4
    | sk_c6 = sF10 ),
    inference(definition_folding,[],[f23,f48,f62]) ).

fof(f23,axiom,
    ( sk_c6 = inverse(sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f166,plain,
    ( spl12_7
    | spl12_3 ),
    inference(avatar_split_clause,[],[f50,f101,f120]) ).

fof(f50,plain,
    ( sk_c6 = sF5
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f26,f49,f48]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f165,plain,
    ( spl12_7
    | spl12_2 ),
    inference(avatar_split_clause,[],[f84,f96,f120]) ).

fof(f84,plain,
    ( sk_c7 = sF7
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f25,f54,f48]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f164,plain,
    ( spl12_9
    | spl12_6 ),
    inference(avatar_split_clause,[],[f68,f115,f129]) ).

fof(f68,plain,
    ( sk_c6 = sF10
    | sk_c3 = sF8 ),
    inference(definition_folding,[],[f29,f62,f57]) ).

fof(f29,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c6 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f163,plain,
    ( spl12_5
    | spl12_16 ),
    inference(avatar_split_clause,[],[f85,f160,f110]) ).

fof(f85,plain,
    ( sk_c7 = sF6
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f15,f42,f52]) ).

fof(f15,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f158,plain,
    ( spl12_3
    | spl12_15 ),
    inference(avatar_split_clause,[],[f73,f155,f101]) ).

fof(f73,plain,
    ( sk_c8 = sF11
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f38,f72,f49]) ).

fof(f38,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f153,plain,
    ( spl12_9
    | spl12_3 ),
    inference(avatar_split_clause,[],[f67,f101,f129]) ).

fof(f67,plain,
    ( sk_c6 = sF5
    | sk_c3 = sF8 ),
    inference(definition_folding,[],[f32,f49,f57]) ).

fof(f32,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f152,plain,
    ( spl12_11
    | ~ spl12_4
    | spl12_12
    | ~ spl12_6
    | spl12_13
    | spl12_14
    | ~ spl12_8 ),
    inference(avatar_split_clause,[],[f63,f124,f150,f147,f115,f144,f105,f141]) ).

fof(f63,plain,
    ! [X3,X6,X7,X5] :
      ( sk_c8 != sF3
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X7)
      | sk_c6 != sF10
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c6 != sF2
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c8 != inverse(X3)
      | sk_c7 != inverse(X6)
      | sk_c6 != multiply(X7,sk_c8) ),
    inference(definition_folding,[],[f41,f45,f46,f62]) ).

fof(f41,plain,
    ! [X3,X6,X7,X5] :
      ( sk_c6 != multiply(X7,sk_c8)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c6 != inverse(sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c7 != inverse(X6)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c8 != inverse(X7)
      | sk_c8 != multiply(sk_c7,sk_c6)
      | multiply(sk_c8,sk_c7) != sk_c6
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != inverse(X3) ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != multiply(X7,sk_c8)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c6 != inverse(sk_c7)
      | sk_c8 != inverse(X5)
      | multiply(X5,sk_c8) != X4
      | sk_c7 != inverse(X6)
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c8 != inverse(X7)
      | sk_c8 != multiply(sk_c7,sk_c6)
      | multiply(sk_c8,sk_c7) != sk_c6
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != inverse(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f139,plain,
    ( spl12_10
    | spl12_4 ),
    inference(avatar_split_clause,[],[f65,f105,f134]) ).

fof(f65,plain,
    ( sk_c6 = sF2
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f6,f59,f45]) ).

fof(f6,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f138,plain,
    ( spl12_9
    | spl12_10 ),
    inference(avatar_split_clause,[],[f70,f134,f129]) ).

fof(f70,plain,
    ( sk_c8 = sF9
    | sk_c3 = sF8 ),
    inference(definition_folding,[],[f30,f59,f57]) ).

fof(f30,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f137,plain,
    ( spl12_1
    | spl12_10 ),
    inference(avatar_split_clause,[],[f80,f134,f92]) ).

fof(f80,plain,
    ( sk_c8 = sF9
    | sk_c8 = sF1 ),
    inference(definition_folding,[],[f18,f59,f43]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f132,plain,
    ( spl12_2
    | spl12_9 ),
    inference(avatar_split_clause,[],[f79,f129,f96]) ).

fof(f79,plain,
    ( sk_c3 = sF8
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f31,f57,f54]) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f118,plain,
    ( spl12_6
    | spl12_4 ),
    inference(avatar_split_clause,[],[f83,f105,f115]) ).

fof(f83,plain,
    ( sk_c6 = sF2
    | sk_c6 = sF10 ),
    inference(definition_folding,[],[f5,f45,f62]) ).

fof(f5,axiom,
    ( sk_c6 = inverse(sk_c7)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f113,plain,
    ( spl12_5
    | spl12_1 ),
    inference(avatar_split_clause,[],[f44,f92,f110]) ).

fof(f44,plain,
    ( sk_c8 = sF1
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f21,f43,f42]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f108,plain,
    ( spl12_3
    | spl12_4 ),
    inference(avatar_split_clause,[],[f71,f105,f101]) ).

fof(f71,plain,
    ( sk_c6 = sF2
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f8,f45,f49]) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f99,plain,
    ( spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f55,f96,f92]) ).

fof(f55,plain,
    ( sk_c7 = sF7
    | sk_c8 = sF1 ),
    inference(definition_folding,[],[f19,f43,f54]) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP283-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:24:22 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (8023)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)
% 0.19/0.49  % (8023)Instruction limit reached!
% 0.19/0.49  % (8023)------------------------------
% 0.19/0.49  % (8023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (8031)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)
% 0.19/0.49  % (8023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (8023)Termination reason: Unknown
% 0.19/0.49  % (8023)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (8023)Memory used [KB]: 5884
% 0.19/0.49  % (8023)Time elapsed: 0.005 s
% 0.19/0.49  % (8023)Instructions burned: 3 (million)
% 0.19/0.49  % (8023)------------------------------
% 0.19/0.49  % (8023)------------------------------
% 0.19/0.49  % (8031)Refutation not found, incomplete strategy% (8031)------------------------------
% 0.19/0.49  % (8031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (8031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (8031)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49  
% 0.19/0.49  % (8031)Memory used [KB]: 5884
% 0.19/0.49  % (8031)Time elapsed: 0.085 s
% 0.19/0.49  % (8031)Instructions burned: 5 (million)
% 0.19/0.49  % (8031)------------------------------
% 0.19/0.49  % (8031)------------------------------
% 0.19/0.51  % (8022)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)
% 0.19/0.52  % (8024)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)
% 0.19/0.52  % (8011)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)
% 0.19/0.52  % (8015)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (8021)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)
% 0.19/0.53  % (8022)Instruction limit reached!
% 0.19/0.53  % (8022)------------------------------
% 0.19/0.53  % (8022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (8035)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)
% 0.19/0.53  % (8039)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)
% 0.19/0.53  % (8022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (8022)Termination reason: Unknown
% 0.19/0.53  % (8022)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (8022)Memory used [KB]: 5884
% 0.19/0.53  % (8022)Time elapsed: 0.125 s
% 0.19/0.53  % (8022)Instructions burned: 5 (million)
% 0.19/0.53  % (8022)------------------------------
% 0.19/0.53  % (8022)------------------------------
% 0.19/0.53  % (8010)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.53  % (8034)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)
% 0.19/0.53  % (8032)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)
% 0.19/0.53  % (8012)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)
% 0.19/0.53  % (8016)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)
% 0.19/0.53  % (8027)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54  % (8033)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)
% 0.19/0.54  % (8013)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)
% 0.19/0.54  % (8013)Refutation not found, incomplete strategy% (8013)------------------------------
% 0.19/0.54  % (8013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54  % (8030)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)
% 1.47/0.54  % (8017)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)
% 1.47/0.54  % (8019)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)
% 1.47/0.54  % (8013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54  % (8013)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.54  
% 1.47/0.54  % (8013)Memory used [KB]: 5884
% 1.47/0.54  % (8013)Time elapsed: 0.134 s
% 1.47/0.54  % (8013)Instructions burned: 4 (million)
% 1.47/0.54  % (8013)------------------------------
% 1.47/0.54  % (8013)------------------------------
% 1.47/0.54  % (8038)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)
% 1.47/0.54  % (8037)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)
% 1.47/0.54  % (8014)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)
% 1.47/0.54  % (8036)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.47/0.55  % (8025)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)
% 1.47/0.55  % (8028)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)
% 1.47/0.55  % (8014)Refutation not found, incomplete strategy% (8014)------------------------------
% 1.47/0.55  % (8014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (8012)Instruction limit reached!
% 1.47/0.55  % (8012)------------------------------
% 1.47/0.55  % (8012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (8026)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)
% 1.47/0.55  % (8012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (8012)Termination reason: Unknown
% 1.47/0.55  % (8012)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (8012)Memory used [KB]: 5884
% 1.47/0.55  % (8036)Refutation not found, incomplete strategy% (8036)------------------------------
% 1.47/0.55  % (8036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (8036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (8036)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.55  
% 1.47/0.55  % (8036)Memory used [KB]: 5884
% 1.47/0.55  % (8036)Time elapsed: 0.143 s
% 1.47/0.55  % (8036)Instructions burned: 3 (million)
% 1.47/0.55  % (8036)------------------------------
% 1.47/0.55  % (8036)------------------------------
% 1.47/0.55  % (8012)Time elapsed: 0.142 s
% 1.47/0.55  % (8012)Instructions burned: 5 (million)
% 1.47/0.55  % (8012)------------------------------
% 1.47/0.55  % (8012)------------------------------
% 1.47/0.55  % (8026)Instruction limit reached!
% 1.47/0.55  % (8026)------------------------------
% 1.47/0.55  % (8026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (8026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (8026)Termination reason: Unknown
% 1.47/0.55  % (8026)Termination phase: Property scanning
% 1.47/0.55  
% 1.47/0.55  % (8026)Memory used [KB]: 1279
% 1.47/0.55  % (8026)Time elapsed: 0.005 s
% 1.47/0.55  % (8026)Instructions burned: 2 (million)
% 1.47/0.55  % (8026)------------------------------
% 1.47/0.55  % (8026)------------------------------
% 1.47/0.55  % (8018)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)
% 1.47/0.55  % (8020)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)
% 1.47/0.55  % (8018)Instruction limit reached!
% 1.47/0.55  % (8018)------------------------------
% 1.47/0.55  % (8018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (8027)Instruction limit reached!
% 1.47/0.55  % (8027)------------------------------
% 1.47/0.55  % (8027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (8027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (8027)Termination reason: Unknown
% 1.47/0.55  % (8027)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (8027)Memory used [KB]: 6012
% 1.47/0.55  % (8027)Time elapsed: 0.149 s
% 1.47/0.55  % (8027)Instructions burned: 8 (million)
% 1.47/0.55  % (8027)------------------------------
% 1.47/0.55  % (8027)------------------------------
% 1.47/0.55  % (8018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (8018)Termination reason: Unknown
% 1.47/0.55  % (8018)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (8018)Memory used [KB]: 5884
% 1.47/0.55  % (8018)Time elapsed: 0.004 s
% 1.47/0.55  % (8018)Instructions burned: 4 (million)
% 1.47/0.55  % (8018)------------------------------
% 1.47/0.55  % (8018)------------------------------
% 1.47/0.55  % (8014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (8014)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.55  
% 1.47/0.55  % (8014)Memory used [KB]: 5884
% 1.47/0.55  % (8014)Time elapsed: 0.144 s
% 1.47/0.55  % (8014)Instructions burned: 4 (million)
% 1.47/0.55  % (8014)------------------------------
% 1.47/0.55  % (8014)------------------------------
% 1.47/0.55  % (8020)Instruction limit reached!
% 1.47/0.55  % (8020)------------------------------
% 1.47/0.55  % (8020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (8020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (8020)Termination reason: Unknown
% 1.47/0.55  % (8020)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (8020)Memory used [KB]: 6012
% 1.47/0.55  % (8020)Time elapsed: 0.157 s
% 1.47/0.55  % (8020)Instructions burned: 8 (million)
% 1.47/0.55  % (8020)------------------------------
% 1.47/0.55  % (8020)------------------------------
% 1.47/0.55  % (8025)Instruction limit reached!
% 1.47/0.55  % (8025)------------------------------
% 1.47/0.55  % (8025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (8025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (8025)Termination reason: Unknown
% 1.47/0.55  % (8025)Termination phase: Finite model building preprocessing
% 1.47/0.55  
% 1.47/0.55  % (8025)Memory used [KB]: 6012
% 1.47/0.55  % (8025)Time elapsed: 0.005 s
% 1.47/0.55  % (8025)Instructions burned: 7 (million)
% 1.47/0.55  % (8025)------------------------------
% 1.47/0.55  % (8025)------------------------------
% 1.58/0.56  % (8038)Refutation not found, incomplete strategy% (8038)------------------------------
% 1.58/0.56  % (8038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (8017)Refutation not found, incomplete strategy% (8017)------------------------------
% 1.58/0.56  % (8017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (8033)Refutation not found, incomplete strategy% (8033)------------------------------
% 1.58/0.56  % (8033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (8033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (8033)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.56  
% 1.58/0.56  % (8033)Memory used [KB]: 5884
% 1.58/0.56  % (8033)Time elapsed: 0.134 s
% 1.58/0.56  % (8033)Instructions burned: 4 (million)
% 1.58/0.56  % (8033)------------------------------
% 1.58/0.56  % (8033)------------------------------
% 1.58/0.56  % (8028)Refutation not found, incomplete strategy% (8028)------------------------------
% 1.58/0.56  % (8028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (8029)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)
% 1.58/0.56  % (8017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (8017)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.56  
% 1.58/0.56  % (8017)Memory used [KB]: 5884
% 1.58/0.56  % (8017)Time elapsed: 0.157 s
% 1.58/0.56  % (8017)Instructions burned: 4 (million)
% 1.58/0.56  % (8017)------------------------------
% 1.58/0.56  % (8017)------------------------------
% 1.58/0.56  % (8029)Instruction limit reached!
% 1.58/0.56  % (8029)------------------------------
% 1.58/0.56  % (8029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (8029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (8029)Termination reason: Unknown
% 1.58/0.56  % (8029)Termination phase: Saturation
% 1.58/0.56  
% 1.58/0.56  % (8029)Memory used [KB]: 6012
% 1.58/0.56  % (8029)Time elapsed: 0.158 s
% 1.58/0.56  % (8029)Instructions burned: 8 (million)
% 1.58/0.56  % (8029)------------------------------
% 1.58/0.56  % (8029)------------------------------
% 1.58/0.56  % (8015)Instruction limit reached!
% 1.58/0.56  % (8015)------------------------------
% 1.58/0.56  % (8015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (8015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (8015)Termination reason: Unknown
% 1.58/0.56  % (8015)Termination phase: Saturation
% 1.58/0.56  
% 1.58/0.56  % (8015)Memory used [KB]: 6140
% 1.58/0.56  % (8015)Time elapsed: 0.145 s
% 1.58/0.56  % (8015)Instructions burned: 25 (million)
% 1.58/0.56  % (8015)------------------------------
% 1.58/0.56  % (8015)------------------------------
% 1.58/0.56  % (8030)Instruction limit reached!
% 1.58/0.56  % (8030)------------------------------
% 1.58/0.56  % (8030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (8030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (8030)Termination reason: Unknown
% 1.58/0.56  % (8030)Termination phase: Saturation
% 1.58/0.56  
% 1.58/0.56  % (8030)Memory used [KB]: 1407
% 1.58/0.56  % (8030)Time elapsed: 0.148 s
% 1.58/0.56  % (8030)Instructions burned: 7 (million)
% 1.58/0.56  % (8030)------------------------------
% 1.58/0.56  % (8030)------------------------------
% 1.58/0.56  % (8028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (8028)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.56  
% 1.58/0.56  % (8028)Memory used [KB]: 10490
% 1.58/0.56  % (8028)Time elapsed: 0.158 s
% 1.58/0.56  % (8028)Instructions burned: 7 (million)
% 1.58/0.56  % (8028)------------------------------
% 1.58/0.56  % (8028)------------------------------
% 1.58/0.57  % (8038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57  % (8038)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.57  
% 1.58/0.57  % (8038)Memory used [KB]: 5884
% 1.58/0.57  % (8038)Time elapsed: 0.158 s
% 1.58/0.57  % (8038)Instructions burned: 3 (million)
% 1.58/0.57  % (8038)------------------------------
% 1.58/0.57  % (8038)------------------------------
% 1.58/0.57  % (8021)Instruction limit reached!
% 1.58/0.57  % (8021)------------------------------
% 1.58/0.57  % (8021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57  % (8021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57  % (8021)Termination reason: Unknown
% 1.58/0.57  % (8021)Termination phase: Saturation
% 1.58/0.57  
% 1.58/0.57  % (8021)Memory used [KB]: 6396
% 1.58/0.57  % (8021)Time elapsed: 0.156 s
% 1.58/0.57  % (8021)Instructions burned: 23 (million)
% 1.58/0.57  % (8021)------------------------------
% 1.58/0.57  % (8021)------------------------------
% 1.58/0.57  % (8035)Refutation not found, incomplete strategy% (8035)------------------------------
% 1.58/0.57  % (8035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57  % (8035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57  % (8035)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.57  
% 1.58/0.57  % (8035)Memory used [KB]: 6140
% 1.58/0.57  % (8035)Time elapsed: 0.153 s
% 1.58/0.57  % (8035)Instructions burned: 14 (million)
% 1.58/0.57  % (8035)------------------------------
% 1.58/0.57  % (8035)------------------------------
% 1.58/0.58  % (8024)Instruction limit reached!
% 1.58/0.58  % (8024)------------------------------
% 1.58/0.58  % (8024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59  % (8011)Instruction limit reached!
% 1.58/0.59  % (8011)------------------------------
% 1.58/0.59  % (8011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59  % (8024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (8024)Termination reason: Unknown
% 1.58/0.59  % (8024)Termination phase: Saturation
% 1.58/0.59  
% 1.58/0.59  % (8024)Memory used [KB]: 1663
% 1.58/0.59  % (8024)Time elapsed: 0.144 s
% 1.58/0.59  % (8024)Instructions burned: 29 (million)
% 1.58/0.59  % (8024)------------------------------
% 1.58/0.59  % (8024)------------------------------
% 1.58/0.60  % (8016)Instruction limit reached!
% 1.58/0.60  % (8016)------------------------------
% 1.58/0.60  % (8016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60  % (8011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60  % (8011)Termination reason: Unknown
% 1.58/0.60  % (8011)Termination phase: Saturation
% 1.58/0.60  
% 1.58/0.60  % (8011)Memory used [KB]: 1663
% 1.58/0.60  % (8011)Time elapsed: 0.182 s
% 1.58/0.60  % (8011)Instructions burned: 42 (million)
% 1.58/0.60  % (8011)------------------------------
% 1.58/0.60  % (8011)------------------------------
% 1.58/0.60  % (8016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60  % (8016)Termination reason: Unknown
% 1.58/0.60  % (8016)Termination phase: Saturation
% 1.58/0.60  
% 1.58/0.60  % (8016)Memory used [KB]: 1535
% 1.58/0.60  % (8016)Time elapsed: 0.154 s
% 1.58/0.60  % (8016)Instructions burned: 49 (million)
% 1.58/0.60  % (8016)------------------------------
% 1.58/0.60  % (8016)------------------------------
% 1.58/0.60  % (8034)Instruction limit reached!
% 1.58/0.60  % (8034)------------------------------
% 1.58/0.60  % (8034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60  % (8034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60  % (8034)Termination reason: Unknown
% 1.58/0.60  % (8034)Termination phase: Saturation
% 1.58/0.60  
% 1.58/0.60  % (8034)Memory used [KB]: 6780
% 1.58/0.60  % (8034)Time elapsed: 0.199 s
% 1.58/0.60  % (8034)Instructions burned: 47 (million)
% 1.58/0.60  % (8034)------------------------------
% 1.58/0.60  % (8034)------------------------------
% 1.58/0.61  % (8019)Instruction limit reached!
% 1.58/0.61  % (8019)------------------------------
% 1.58/0.61  % (8019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.61  % (8019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.61  % (8019)Termination reason: Unknown
% 1.58/0.61  % (8019)Termination phase: Saturation
% 1.58/0.61  
% 1.58/0.61  % (8019)Memory used [KB]: 7036
% 1.58/0.61  % (8019)Time elapsed: 0.196 s
% 1.58/0.61  % (8019)Instructions burned: 51 (million)
% 1.58/0.61  % (8019)------------------------------
% 1.58/0.61  % (8019)------------------------------
% 1.58/0.62  % (8041)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.58/0.63  % (8040)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 1.58/0.63  % (8010)First to succeed.
% 1.98/0.64  % (8040)Instruction limit reached!
% 1.98/0.64  % (8040)------------------------------
% 1.98/0.64  % (8040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64  % (8042)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.98/0.64  % (8037)Refutation not found, non-redundant clauses discarded% (8037)------------------------------
% 1.98/0.64  % (8037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64  % (8037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64  % (8037)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.98/0.64  
% 1.98/0.64  % (8037)Memory used [KB]: 1791
% 1.98/0.64  % (8037)Time elapsed: 0.229 s
% 1.98/0.64  % (8037)Instructions burned: 65 (million)
% 1.98/0.64  % (8037)------------------------------
% 1.98/0.64  % (8037)------------------------------
% 1.98/0.64  % (8041)Refutation not found, incomplete strategy% (8041)------------------------------
% 1.98/0.64  % (8041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64  % (8042)Instruction limit reached!
% 1.98/0.64  % (8042)------------------------------
% 1.98/0.64  % (8042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64  % (8042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64  % (8042)Termination reason: Unknown
% 1.98/0.64  % (8042)Termination phase: Saturation
% 1.98/0.64  
% 1.98/0.64  % (8042)Memory used [KB]: 5884
% 1.98/0.64  % (8042)Time elapsed: 0.003 s
% 1.98/0.64  % (8042)Instructions burned: 3 (million)
% 1.98/0.64  % (8042)------------------------------
% 1.98/0.64  % (8042)------------------------------
% 1.98/0.64  % (8041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64  % (8041)Termination reason: Refutation not found, incomplete strategy
% 1.98/0.64  
% 1.98/0.64  % (8041)Memory used [KB]: 6012
% 1.98/0.64  % (8041)Time elapsed: 0.101 s
% 1.98/0.64  % (8041)Instructions burned: 7 (million)
% 1.98/0.64  % (8041)------------------------------
% 1.98/0.64  % (8041)------------------------------
% 1.98/0.65  % (8010)Refutation found. Thanks to Tanya!
% 1.98/0.65  % SZS status Unsatisfiable for theBenchmark
% 1.98/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 1.98/0.65  % (8010)------------------------------
% 1.98/0.65  % (8010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.65  % (8010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.65  % (8010)Termination reason: Refutation
% 1.98/0.65  
% 1.98/0.65  % (8010)Memory used [KB]: 6652
% 1.98/0.65  % (8010)Time elapsed: 0.206 s
% 1.98/0.65  % (8010)Instructions burned: 66 (million)
% 1.98/0.65  % (8010)------------------------------
% 1.98/0.65  % (8010)------------------------------
% 1.98/0.65  % (8009)Success in time 0.303 s
%------------------------------------------------------------------------------