TSTP Solution File: GRP319-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP319-1 : 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 : n011.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 16:15:20 EDT 2022

% Result   : Unsatisfiable 2.20s 0.65s
% Output   : Refutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  408 (  28 unt;   0 def)
%            Number of atoms       : 1850 ( 493 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 2867 (1425   ~;1423   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  20 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  22 con; 0-2 aty)
%            Number of variables   :   82 (  82   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1823,plain,
    $false,
    inference(avatar_sat_refutation,[],[f99,f108,f113,f122,f141,f142,f147,f148,f149,f150,f151,f153,f154,f155,f171,f172,f173,f174,f175,f176,f178,f179,f180,f182,f183,f184,f185,f186,f187,f188,f189,f190,f348,f407,f431,f466,f483,f500,f514,f688,f709,f805,f1274,f1383,f1407,f1476,f1597,f1705,f1717,f1766,f1784,f1802,f1820]) ).

fof(f1820,plain,
    ( ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[],[f1819]) ).

fof(f1819,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f1818,f1702]) ).

fof(f1702,plain,
    ( identity = inverse(identity)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f1683,f1699]) ).

fof(f1699,plain,
    ( identity = sk_c2
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f1687,f2]) ).

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

fof(f1687,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f1270,f1671]) ).

fof(f1671,plain,
    ( identity = sk_c8
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f1670,f2]) ).

fof(f1670,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f1253,f1272]) ).

fof(f1272,plain,
    ( sk_c8 = sk_c7
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f1252,f1271]) ).

fof(f1271,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f639,f1240]) ).

fof(f1240,plain,
    ( sk_c8 = sk_c9
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f1239,f1235]) ).

fof(f1235,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f47,f121]) ).

fof(f121,plain,
    ( sk_c8 = sF3
    | ~ spl12_7 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl12_7
  <=> sk_c8 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).

fof(f47,plain,
    multiply(sk_c9,sk_c3) = sF3,
    introduced(function_definition,[]) ).

fof(f1239,plain,
    ( sk_c9 = multiply(sk_c9,sk_c3)
    | ~ spl12_3
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f1238,f136]) ).

fof(f136,plain,
    ( sk_c9 = sF11
    | ~ spl12_10 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl12_10
  <=> sk_c9 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).

fof(f1238,plain,
    ( sk_c9 = multiply(sF11,sk_c3)
    | ~ spl12_3 ),
    inference(forward_demodulation,[],[f250,f103]) ).

fof(f103,plain,
    ( sk_c3 = sF4
    | ~ spl12_3 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl12_3
  <=> sk_c3 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

fof(f250,plain,
    sk_c9 = multiply(sF11,sF4),
    inference(forward_demodulation,[],[f239,f65]) ).

fof(f65,plain,
    inverse(sk_c2) = sF11,
    introduced(function_definition,[]) ).

fof(f239,plain,
    sk_c9 = multiply(inverse(sk_c2),sF4),
    inference(superposition,[],[f215,f49]) ).

fof(f49,plain,
    multiply(sk_c2,sk_c9) = sF4,
    introduced(function_definition,[]) ).

fof(f215,plain,
    ! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
    inference(forward_demodulation,[],[f203,f1]) ).

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

fof(f203,plain,
    ! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
    inference(superposition,[],[f3,f2]) ).

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

fof(f639,plain,
    ( sk_c8 = multiply(sk_c8,sk_c9)
    | ~ spl12_5
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f623,f112]) ).

fof(f112,plain,
    ( sk_c8 = sF6
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl12_5
  <=> sk_c8 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f623,plain,
    ( sk_c8 = multiply(sF6,sk_c9)
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f247,f146]) ).

fof(f146,plain,
    ( sk_c9 = sF9
    | ~ spl12_12 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl12_12
  <=> sk_c9 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).

fof(f247,plain,
    sk_c8 = multiply(sF6,sF9),
    inference(forward_demodulation,[],[f235,f52]) ).

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

fof(f235,plain,
    sk_c8 = multiply(inverse(sk_c1),sF9),
    inference(superposition,[],[f215,f57]) ).

fof(f57,plain,
    multiply(sk_c1,sk_c8) = sF9,
    introduced(function_definition,[]) ).

fof(f1252,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f897,f1240]) ).

fof(f897,plain,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f42,f94]) ).

fof(f94,plain,
    ( sk_c7 = sF0
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl12_1
  <=> sk_c7 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f42,plain,
    multiply(sk_c8,sk_c9) = sF0,
    introduced(function_definition,[]) ).

fof(f1253,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f1187,f1240]) ).

fof(f1187,plain,
    ( sk_c9 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f236,f94]) ).

fof(f236,plain,
    sk_c9 = multiply(inverse(sk_c8),sF0),
    inference(superposition,[],[f215,f42]) ).

fof(f1270,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f626,f1240]) ).

fof(f626,plain,
    ( sk_c2 = multiply(inverse(sk_c9),identity)
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f245,f136]) ).

fof(f245,plain,
    sk_c2 = multiply(inverse(sF11),identity),
    inference(superposition,[],[f215,f201]) ).

fof(f201,plain,
    identity = multiply(sF11,sk_c2),
    inference(superposition,[],[f2,f65]) ).

fof(f1683,plain,
    ( identity = inverse(sk_c2)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f1249,f1671]) ).

fof(f1249,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f628,f1240]) ).

fof(f628,plain,
    ( sk_c9 = inverse(sk_c2)
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f65,f136]) ).

fof(f1818,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1817,f1702]) ).

fof(f1817,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f1810,f1]) ).

fof(f1810,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(superposition,[],[f1805,f2]) ).

fof(f1805,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1804,f1671]) ).

fof(f1804,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1803,f1679]) ).

fof(f1679,plain,
    ( identity = sk_c9
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f1240,f1671]) ).

fof(f1803,plain,
    ( ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c8 != multiply(identity,multiply(X5,identity)) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f164,f1679]) ).

fof(f164,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != inverse(X5) )
    | ~ spl12_15 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f163,plain,
    ( spl12_15
  <=> ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).

fof(f1802,plain,
    ( ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(avatar_contradiction_clause,[],[f1801]) ).

fof(f1801,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(subsumption_resolution,[],[f1800,f1702]) ).

fof(f1800,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f1794,f1702]) ).

fof(f1794,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(trivial_inequality_removal,[],[f1792]) ).

fof(f1792,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(superposition,[],[f1787,f2]) ).

fof(f1787,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f1786,f1671]) ).

fof(f1786,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | identity != multiply(X7,identity) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f1785,f1689]) ).

fof(f1689,plain,
    ( identity = sk_c7
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f1272,f1671]) ).

fof(f1785,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(X7,identity)
        | sk_c8 != inverse(X7) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f158,f1671]) ).

fof(f158,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(X7,sk_c8)
        | sk_c8 != inverse(X7) )
    | ~ spl12_13 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl12_13
  <=> ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).

fof(f1784,plain,
    ( ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_14 ),
    inference(avatar_contradiction_clause,[],[f1783]) ).

fof(f1783,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_14 ),
    inference(subsumption_resolution,[],[f1782,f1702]) ).

fof(f1782,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f1776,f1702]) ).

fof(f1776,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[],[f1774]) ).

fof(f1774,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_14 ),
    inference(superposition,[],[f1769,f2]) ).

fof(f1769,plain,
    ( ! [X8] :
        ( identity != multiply(X8,identity)
        | identity != inverse(X8) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f1768,f1689]) ).

fof(f1768,plain,
    ( ! [X8] :
        ( identity != inverse(X8)
        | sk_c7 != multiply(X8,identity) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f1767,f1679]) ).

fof(f1767,plain,
    ( ! [X8] :
        ( identity != inverse(X8)
        | sk_c7 != multiply(X8,sk_c9) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f161,f1689]) ).

fof(f161,plain,
    ( ! [X8] :
        ( sk_c7 != inverse(X8)
        | sk_c7 != multiply(X8,sk_c9) )
    | ~ spl12_14 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl12_14
  <=> ! [X8] :
        ( sk_c7 != inverse(X8)
        | sk_c7 != multiply(X8,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).

fof(f1766,plain,
    ( ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(avatar_contradiction_clause,[],[f1765]) ).

fof(f1765,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(subsumption_resolution,[],[f1759,f1702]) ).

fof(f1759,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(trivial_inequality_removal,[],[f1755]) ).

fof(f1755,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(superposition,[],[f1734,f1]) ).

fof(f1734,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f1733,f1671]) ).

fof(f1733,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c8 != multiply(X6,identity) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f1732,f1679]) ).

fof(f1732,plain,
    ( ! [X6] :
        ( sk_c9 != inverse(X6)
        | sk_c8 != multiply(X6,identity) )
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f170,f1679]) ).

fof(f170,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c9)
        | sk_c9 != inverse(X6) )
    | ~ spl12_17 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl12_17
  <=> ! [X6] :
        ( sk_c8 != multiply(X6,sk_c9)
        | sk_c9 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).

fof(f1717,plain,
    ( ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | spl12_21 ),
    inference(avatar_contradiction_clause,[],[f1716]) ).

fof(f1716,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | spl12_21 ),
    inference(subsumption_resolution,[],[f1715,f1702]) ).

fof(f1715,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | spl12_21 ),
    inference(forward_demodulation,[],[f415,f1699]) ).

fof(f415,plain,
    ( identity != inverse(sk_c2)
    | spl12_21 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f413,plain,
    ( spl12_21
  <=> identity = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).

fof(f1705,plain,
    ( ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | spl12_25 ),
    inference(avatar_contradiction_clause,[],[f1704]) ).

fof(f1704,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12
    | spl12_25 ),
    inference(subsumption_resolution,[],[f1672,f461]) ).

fof(f461,plain,
    ( identity != sF6
    | spl12_25 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f459,plain,
    ( spl12_25
  <=> identity = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).

fof(f1672,plain,
    ( identity = sF6
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f112,f1671]) ).

fof(f1597,plain,
    ( ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_21
    | ~ spl12_25 ),
    inference(avatar_contradiction_clause,[],[f1596]) ).

fof(f1596,plain,
    ( $false
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_21
    | ~ spl12_25 ),
    inference(subsumption_resolution,[],[f1587,f1500]) ).

fof(f1500,plain,
    ( identity = inverse(identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_21
    | ~ spl12_25 ),
    inference(backward_demodulation,[],[f414,f1499]) ).

fof(f1499,plain,
    ( identity = sk_c2
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_25 ),
    inference(forward_demodulation,[],[f1496,f2]) ).

fof(f1496,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_25 ),
    inference(backward_demodulation,[],[f1270,f1492]) ).

fof(f1492,plain,
    ( identity = sk_c8
    | ~ spl12_5
    | ~ spl12_25 ),
    inference(forward_demodulation,[],[f112,f460]) ).

fof(f460,plain,
    ( identity = sF6
    | ~ spl12_25 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f414,plain,
    ( identity = inverse(sk_c2)
    | ~ spl12_21 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1587,plain,
    ( identity != inverse(identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_25 ),
    inference(trivial_inequality_removal,[],[f1582]) ).

fof(f1582,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_25 ),
    inference(superposition,[],[f1548,f1]) ).

fof(f1548,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_16
    | ~ spl12_25 ),
    inference(backward_demodulation,[],[f1502,f1546]) ).

fof(f1546,plain,
    ( identity = sk_c9
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_25 ),
    inference(forward_demodulation,[],[f1240,f1492]) ).

fof(f1502,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c9 != multiply(X3,identity) )
    | ~ spl12_5
    | ~ spl12_16
    | ~ spl12_25 ),
    inference(forward_demodulation,[],[f1494,f1492]) ).

fof(f1494,plain,
    ( ! [X3] :
        ( sk_c9 != multiply(X3,identity)
        | sk_c8 != inverse(X3) )
    | ~ spl12_5
    | ~ spl12_16
    | ~ spl12_25 ),
    inference(backward_demodulation,[],[f167,f1492]) ).

fof(f167,plain,
    ( ! [X3] :
        ( sk_c9 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl12_16 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl12_16
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c9 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).

fof(f1476,plain,
    ( ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(avatar_contradiction_clause,[],[f1475]) ).

fof(f1475,plain,
    ( $false
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(subsumption_resolution,[],[f1474,f1322]) ).

fof(f1322,plain,
    ( identity = inverse(identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f1286,f1304]) ).

fof(f1304,plain,
    ( identity = sk_c5
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f1289,f2]) ).

fof(f1289,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f241,f1282]) ).

fof(f1282,plain,
    ( identity = sk_c8
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f1258,f1280]) ).

fof(f1280,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f1263,f1275]) ).

fof(f1275,plain,
    ( sk_c5 = sk_c2
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f1270,f241]) ).

fof(f1263,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f1254,f1261]) ).

fof(f1261,plain,
    ( identity = sk_c3
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f1245,f2]) ).

fof(f1245,plain,
    ( sk_c3 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f619,f1240]) ).

fof(f619,plain,
    ( sk_c3 = multiply(inverse(sk_c9),sk_c8)
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f244,f121]) ).

fof(f244,plain,
    sk_c3 = multiply(inverse(sk_c9),sF3),
    inference(superposition,[],[f215,f47]) ).

fof(f1254,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f1227,f1240]) ).

fof(f1227,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl12_3 ),
    inference(backward_demodulation,[],[f49,f103]) ).

fof(f1258,plain,
    ( sk_c8 = multiply(sk_c5,sk_c8)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f1234,f1240]) ).

fof(f1234,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl12_5
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f56,f1232]) ).

fof(f1232,plain,
    ( sk_c9 = sF8
    | ~ spl12_5
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f1230,f146]) ).

fof(f1230,plain,
    ( sF8 = sF9
    | ~ spl12_5
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f1229,f56]) ).

fof(f1229,plain,
    ( multiply(sk_c5,sk_c8) = sF9
    | ~ spl12_5
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f57,f847]) ).

fof(f847,plain,
    ( sk_c5 = sk_c1
    | ~ spl12_5
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f501,f241]) ).

fof(f501,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl12_5 ),
    inference(backward_demodulation,[],[f243,f112]) ).

fof(f243,plain,
    sk_c1 = multiply(inverse(sF6),identity),
    inference(superposition,[],[f215,f200]) ).

fof(f200,plain,
    identity = multiply(sF6,sk_c1),
    inference(superposition,[],[f2,f52]) ).

fof(f56,plain,
    multiply(sk_c5,sk_c8) = sF8,
    introduced(function_definition,[]) ).

fof(f241,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl12_11 ),
    inference(superposition,[],[f215,f198]) ).

fof(f198,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl12_11 ),
    inference(superposition,[],[f2,f194]) ).

fof(f194,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f45,f140]) ).

fof(f140,plain,
    ( sk_c8 = sF2
    | ~ spl12_11 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl12_11
  <=> sk_c8 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).

fof(f45,plain,
    inverse(sk_c5) = sF2,
    introduced(function_definition,[]) ).

fof(f1286,plain,
    ( identity = inverse(sk_c5)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f194,f1282]) ).

fof(f1474,plain,
    ( identity != inverse(identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f1470,f1322]) ).

fof(f1470,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(trivial_inequality_removal,[],[f1468]) ).

fof(f1468,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(superposition,[],[f1465,f2]) ).

fof(f1465,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f1464,f1282]) ).

fof(f1464,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c8 != multiply(X6,identity) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f1463,f1290]) ).

fof(f1290,plain,
    ( identity = sk_c9
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f1240,f1282]) ).

fof(f1463,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c8 != multiply(X6,sk_c9) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f170,f1290]) ).

fof(f1407,plain,
    ( ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1406,plain,
    ( $false
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f1405,f1322]) ).

fof(f1405,plain,
    ( identity != inverse(identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1404,f1322]) ).

fof(f1404,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f1397,f1]) ).

fof(f1397,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(superposition,[],[f1386,f2]) ).

fof(f1386,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1385,f1290]) ).

fof(f1385,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | sk_c9 != inverse(X5) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1384,f1282]) ).

fof(f1384,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(identity,multiply(X5,identity))
        | sk_c9 != inverse(X5) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f164,f1290]) ).

fof(f1383,plain,
    ( ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_16 ),
    inference(avatar_contradiction_clause,[],[f1382]) ).

fof(f1382,plain,
    ( $false
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_16 ),
    inference(subsumption_resolution,[],[f1375,f1322]) ).

fof(f1375,plain,
    ( identity != inverse(identity)
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_16 ),
    inference(trivial_inequality_removal,[],[f1370]) ).

fof(f1370,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_16 ),
    inference(superposition,[],[f1318,f1]) ).

fof(f1318,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f1294,f1282]) ).

fof(f1294,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c8)
        | identity != inverse(X3) )
    | ~ spl12_3
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f1244,f1282]) ).

fof(f1244,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl12_3
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f167,f1240]) ).

fof(f1274,plain,
    ( ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | spl12_6
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(avatar_contradiction_clause,[],[f1273]) ).

fof(f1273,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_5
    | spl12_6
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(subsumption_resolution,[],[f1272,f1260]) ).

fof(f1260,plain,
    ( sk_c8 != sk_c7
    | ~ spl12_3
    | ~ spl12_5
    | spl12_6
    | ~ spl12_7
    | ~ spl12_10
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f1236,f1240]) ).

fof(f1236,plain,
    ( sk_c9 != sk_c7
    | ~ spl12_5
    | spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f116,f1232]) ).

fof(f116,plain,
    ( sk_c7 != sF8
    | spl12_6 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl12_6
  <=> sk_c7 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

fof(f805,plain,
    ( ~ spl12_1
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(avatar_contradiction_clause,[],[f804]) ).

fof(f804,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(subsumption_resolution,[],[f803,f287]) ).

fof(f287,plain,
    ( identity = inverse(identity)
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f269,f284]) ).

fof(f284,plain,
    ( identity = sk_c6
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f275,f2]) ).

fof(f275,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f242,f263]) ).

fof(f263,plain,
    ( identity = sk_c7
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f261,f2]) ).

fof(f261,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(superposition,[],[f215,f249]) ).

fof(f249,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f234,f194]) ).

fof(f234,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c7)
    | ~ spl12_6 ),
    inference(superposition,[],[f215,f196]) ).

fof(f196,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl12_6 ),
    inference(backward_demodulation,[],[f56,f117]) ).

fof(f117,plain,
    ( sk_c7 = sF8
    | ~ spl12_6 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f242,plain,
    ( sk_c6 = multiply(inverse(sk_c7),identity)
    | ~ spl12_4 ),
    inference(superposition,[],[f215,f199]) ).

fof(f199,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | ~ spl12_4 ),
    inference(superposition,[],[f2,f192]) ).

fof(f192,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl12_4 ),
    inference(backward_demodulation,[],[f50,f107]) ).

fof(f107,plain,
    ( sk_c7 = sF5
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl12_4
  <=> sk_c7 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f50,plain,
    inverse(sk_c6) = sF5,
    introduced(function_definition,[]) ).

fof(f269,plain,
    ( identity = inverse(sk_c6)
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f192,f263]) ).

fof(f803,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f799,f287]) ).

fof(f799,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(trivial_inequality_removal,[],[f797]) ).

fof(f797,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(superposition,[],[f794,f2]) ).

fof(f794,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl12_1
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f793,f640]) ).

fof(f640,plain,
    ( identity = sk_c8
    | ~ spl12_1
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f639,f610]) ).

fof(f610,plain,
    ( identity = multiply(sk_c8,sk_c9)
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f42,f370]) ).

fof(f370,plain,
    ( identity = sF0
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f94,f263]) ).

fof(f793,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | sk_c8 != inverse(X7) )
    | ~ spl12_1
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f792,f263]) ).

fof(f792,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(X7,identity)
        | sk_c8 != inverse(X7) )
    | ~ spl12_1
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f158,f640]) ).

fof(f709,plain,
    ( ~ spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | spl12_8
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(avatar_contradiction_clause,[],[f708]) ).

fof(f708,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | spl12_8
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(subsumption_resolution,[],[f707,f263]) ).

fof(f707,plain,
    ( identity != sk_c7
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | spl12_8
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f125,f667]) ).

fof(f667,plain,
    ( identity = sF7
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f506,f664]) ).

fof(f664,plain,
    ( identity = sk_c9
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f519,f663]) ).

fof(f663,plain,
    ( ! [X14] : multiply(sk_c9,X14) = X14
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f657,f1]) ).

fof(f657,plain,
    ( ! [X14] : multiply(sk_c9,multiply(identity,X14)) = X14
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f216,f654]) ).

fof(f654,plain,
    ( identity = sk_c4
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f646,f1]) ).

fof(f646,plain,
    ( sk_c4 = multiply(identity,identity)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f515,f640]) ).

fof(f515,plain,
    ( sk_c4 = multiply(sk_c8,identity)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f240,f509]) ).

fof(f509,plain,
    ( sk_c8 = inverse(sk_c9)
    | ~ spl12_1
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f504,f508]) ).

fof(f508,plain,
    ( sk_c9 = sk_c1
    | ~ spl12_1
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f501,f507]) ).

fof(f507,plain,
    ( sk_c9 = multiply(inverse(sk_c8),identity)
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f236,f370]) ).

fof(f504,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl12_5 ),
    inference(backward_demodulation,[],[f52,f112]) ).

fof(f240,plain,
    ( sk_c4 = multiply(inverse(sk_c9),identity)
    | ~ spl12_2 ),
    inference(superposition,[],[f215,f197]) ).

fof(f197,plain,
    ( identity = multiply(sk_c9,sk_c4)
    | ~ spl12_2 ),
    inference(superposition,[],[f2,f195]) ).

fof(f195,plain,
    ( sk_c9 = inverse(sk_c4)
    | ~ spl12_2 ),
    inference(backward_demodulation,[],[f64,f98]) ).

fof(f98,plain,
    ( sk_c9 = sF10
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl12_2
  <=> sk_c9 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f64,plain,
    inverse(sk_c4) = sF10,
    introduced(function_definition,[]) ).

fof(f216,plain,
    ( ! [X14] : multiply(sk_c9,multiply(sk_c4,X14)) = X14
    | ~ spl12_2 ),
    inference(forward_demodulation,[],[f211,f1]) ).

fof(f211,plain,
    ( ! [X14] : multiply(identity,X14) = multiply(sk_c9,multiply(sk_c4,X14))
    | ~ spl12_2 ),
    inference(superposition,[],[f3,f197]) ).

fof(f519,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f282,f516]) ).

fof(f516,plain,
    ( sk_c9 = sk_c5
    | ~ spl12_1
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f241,f507]) ).

fof(f282,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f279,f1]) ).

fof(f279,plain,
    ( multiply(identity,sk_c5) = multiply(sk_c5,identity)
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f254,f263]) ).

fof(f254,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c7,sk_c5)
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(superposition,[],[f205,f198]) ).

fof(f205,plain,
    ( ! [X8] : multiply(sk_c7,X8) = multiply(sk_c5,multiply(sk_c8,X8))
    | ~ spl12_6 ),
    inference(superposition,[],[f3,f196]) ).

fof(f506,plain,
    ( sk_c9 = sF7
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f505,f1]) ).

fof(f505,plain,
    ( multiply(identity,sk_c9) = sF7
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f54,f284]) ).

fof(f54,plain,
    multiply(sk_c6,sk_c9) = sF7,
    introduced(function_definition,[]) ).

fof(f125,plain,
    ( sk_c7 != sF7
    | spl12_8 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl12_8
  <=> sk_c7 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).

fof(f688,plain,
    ( ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | spl12_9
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(avatar_contradiction_clause,[],[f687]) ).

fof(f687,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | spl12_9
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(subsumption_resolution,[],[f643,f670]) ).

fof(f670,plain,
    ( identity = sF1
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f661,f664]) ).

fof(f661,plain,
    ( sk_c9 = sF1
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f655,f1]) ).

fof(f655,plain,
    ( multiply(identity,sk_c9) = sF1
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f43,f654]) ).

fof(f43,plain,
    multiply(sk_c4,sk_c9) = sF1,
    introduced(function_definition,[]) ).

fof(f643,plain,
    ( identity != sF1
    | ~ spl12_1
    | ~ spl12_5
    | ~ spl12_6
    | spl12_9
    | ~ spl12_11
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f130,f640]) ).

fof(f130,plain,
    ( sk_c8 != sF1
    | spl12_9 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl12_9
  <=> sk_c8 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).

fof(f514,plain,
    ( spl12_12
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_9
    | ~ spl12_11 ),
    inference(avatar_split_clause,[],[f513,f138,f129,f115,f110,f96,f92,f144]) ).

fof(f513,plain,
    ( sk_c9 = sF9
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_9
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f512,f252]) ).

fof(f252,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl12_2
    | ~ spl12_9 ),
    inference(forward_demodulation,[],[f237,f195]) ).

fof(f237,plain,
    ( sk_c9 = multiply(inverse(sk_c4),sk_c8)
    | ~ spl12_9 ),
    inference(superposition,[],[f215,f193]) ).

fof(f193,plain,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | ~ spl12_9 ),
    inference(backward_demodulation,[],[f43,f131]) ).

fof(f131,plain,
    ( sk_c8 = sF1
    | ~ spl12_9 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f512,plain,
    ( sF9 = multiply(sk_c9,sk_c8)
    | ~ spl12_1
    | ~ spl12_5
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f57,f508]) ).

fof(f500,plain,
    ( ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_17 ),
    inference(avatar_contradiction_clause,[],[f499]) ).

fof(f499,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_17 ),
    inference(subsumption_resolution,[],[f492,f287]) ).

fof(f492,plain,
    ( identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_17 ),
    inference(trivial_inequality_removal,[],[f489]) ).

fof(f489,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_17 ),
    inference(superposition,[],[f486,f1]) ).

fof(f486,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f485,f317]) ).

fof(f317,plain,
    ( identity = sk_c8
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f316,f1]) ).

fof(f316,plain,
    ( sk_c8 = multiply(identity,identity)
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f297,f315]) ).

fof(f315,plain,
    ( identity = sk_c4
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f306,f2]) ).

fof(f306,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f240,f292]) ).

fof(f292,plain,
    ( identity = sk_c9
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f277,f1]) ).

fof(f277,plain,
    ( sk_c9 = multiply(identity,identity)
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f251,f263]) ).

fof(f251,plain,
    ( sk_c9 = multiply(sk_c7,sk_c7)
    | ~ spl12_4
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f238,f192]) ).

fof(f238,plain,
    ( sk_c9 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl12_8 ),
    inference(superposition,[],[f215,f191]) ).

fof(f191,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f54,f126]) ).

fof(f126,plain,
    ( sk_c7 = sF7
    | ~ spl12_8 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f297,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f193,f292]) ).

fof(f485,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f484,f292]) ).

fof(f484,plain,
    ( ! [X6] :
        ( sk_c9 != inverse(X6)
        | sk_c8 != multiply(X6,identity) )
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_17 ),
    inference(forward_demodulation,[],[f170,f292]) ).

fof(f483,plain,
    ( ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_16 ),
    inference(avatar_contradiction_clause,[],[f482]) ).

fof(f482,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_16 ),
    inference(subsumption_resolution,[],[f475,f287]) ).

fof(f475,plain,
    ( identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_16 ),
    inference(trivial_inequality_removal,[],[f472]) ).

fof(f472,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_16 ),
    inference(superposition,[],[f469,f1]) ).

fof(f469,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f468,f292]) ).

fof(f468,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c9 != multiply(X3,identity) )
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f467,f317]) ).

fof(f467,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c9 != multiply(X3,sk_c8) )
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f167,f317]) ).

fof(f466,plain,
    ( ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[],[f465]) ).

fof(f465,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f464,f287]) ).

fof(f464,plain,
    ( identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f463,f287]) ).

fof(f463,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f440,f1]) ).

fof(f440,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15 ),
    inference(superposition,[],[f436,f2]) ).

fof(f436,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f435,f317]) ).

fof(f435,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c8 != multiply(identity,multiply(X5,identity)) )
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f434,f292]) ).

fof(f434,plain,
    ( ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c8 != multiply(identity,multiply(X5,identity)) )
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f164,f292]) ).

fof(f431,plain,
    ( ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_14 ),
    inference(avatar_contradiction_clause,[],[f430]) ).

fof(f430,plain,
    ( $false
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_14 ),
    inference(subsumption_resolution,[],[f429,f287]) ).

fof(f429,plain,
    ( identity != inverse(identity)
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f425,f287]) ).

fof(f425,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[],[f423]) ).

fof(f423,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_14 ),
    inference(superposition,[],[f419,f2]) ).

fof(f419,plain,
    ( ! [X8] :
        ( identity != multiply(X8,identity)
        | identity != inverse(X8) )
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f418,f263]) ).

fof(f418,plain,
    ( ! [X8] :
        ( sk_c7 != inverse(X8)
        | identity != multiply(X8,identity) )
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f417,f263]) ).

fof(f417,plain,
    ( ! [X8] :
        ( sk_c7 != multiply(X8,identity)
        | sk_c7 != inverse(X8) )
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f161,f292]) ).

fof(f407,plain,
    ( ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_13 ),
    inference(avatar_contradiction_clause,[],[f406]) ).

fof(f406,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_13 ),
    inference(subsumption_resolution,[],[f392,f287]) ).

fof(f392,plain,
    ( identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_13 ),
    inference(trivial_inequality_removal,[],[f389]) ).

fof(f389,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_13 ),
    inference(superposition,[],[f375,f1]) ).

fof(f375,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f374,f263]) ).

fof(f374,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | sk_c7 != multiply(X7,identity) )
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f373,f317]) ).

fof(f373,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | sk_c7 != multiply(X7,sk_c8) )
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f158,f317]) ).

fof(f348,plain,
    ( spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11 ),
    inference(avatar_contradiction_clause,[],[f347]) ).

fof(f347,plain,
    ( $false
    | spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11 ),
    inference(subsumption_resolution,[],[f346,f264]) ).

fof(f264,plain,
    ( identity != sF0
    | spl12_1
    | ~ spl12_6
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f93,f263]) ).

fof(f93,plain,
    ( sk_c7 != sF0
    | spl12_1 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f346,plain,
    ( identity = sF0
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f345,f1]) ).

fof(f345,plain,
    ( multiply(identity,identity) = sF0
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f293,f317]) ).

fof(f293,plain,
    ( multiply(sk_c8,identity) = sF0
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f42,f292]) ).

fof(f190,plain,
    ( spl12_1
    | spl12_6 ),
    inference(avatar_split_clause,[],[f68,f115,f92]) ).

fof(f68,plain,
    ( sk_c7 = sF8
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f6,f42,f56]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f189,plain,
    ( spl12_3
    | spl12_6 ),
    inference(avatar_split_clause,[],[f70,f115,f101]) ).

fof(f70,plain,
    ( sk_c7 = sF8
    | sk_c3 = sF4 ),
    inference(definition_folding,[],[f30,f56,f49]) ).

fof(f30,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f188,plain,
    ( spl12_7
    | spl12_4 ),
    inference(avatar_split_clause,[],[f61,f105,f119]) ).

fof(f61,plain,
    ( sk_c7 = sF5
    | sk_c8 = sF3 ),
    inference(definition_folding,[],[f26,f50,f47]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f187,plain,
    ( spl12_12
    | spl12_4 ),
    inference(avatar_split_clause,[],[f89,f105,f144]) ).

fof(f89,plain,
    ( sk_c7 = sF5
    | sk_c9 = sF9 ),
    inference(definition_folding,[],[f14,f50,f57]) ).

fof(f14,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f186,plain,
    ( spl12_5
    | spl12_9 ),
    inference(avatar_split_clause,[],[f74,f129,f110]) ).

fof(f74,plain,
    ( sk_c8 = sF1
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f16,f52,f43]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f185,plain,
    ( spl12_7
    | spl12_11 ),
    inference(avatar_split_clause,[],[f48,f138,f119]) ).

fof(f48,plain,
    ( sk_c8 = sF2
    | sk_c8 = sF3 ),
    inference(definition_folding,[],[f25,f45,f47]) ).

fof(f25,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f184,plain,
    ( spl12_9
    | spl12_10 ),
    inference(avatar_split_clause,[],[f80,f134,f129]) ).

fof(f80,plain,
    ( sk_c9 = sF11
    | sk_c8 = sF1 ),
    inference(definition_folding,[],[f34,f43,f65]) ).

fof(f34,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f183,plain,
    ( spl12_9
    | spl12_12 ),
    inference(avatar_split_clause,[],[f71,f144,f129]) ).

fof(f71,plain,
    ( sk_c9 = sF9
    | sk_c8 = sF1 ),
    inference(definition_folding,[],[f10,f43,f57]) ).

fof(f10,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f182,plain,
    ( spl12_8
    | spl12_5 ),
    inference(avatar_split_clause,[],[f55,f110,f124]) ).

fof(f55,plain,
    ( sk_c8 = sF6
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f21,f54,f52]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f180,plain,
    ( spl12_5
    | spl12_2 ),
    inference(avatar_split_clause,[],[f69,f96,f110]) ).

fof(f69,plain,
    ( sk_c9 = sF10
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f17,f64,f52]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c9 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f179,plain,
    ( spl12_3
    | spl12_11 ),
    inference(avatar_split_clause,[],[f88,f138,f101]) ).

fof(f88,plain,
    ( sk_c8 = sF2
    | sk_c3 = sF4 ),
    inference(definition_folding,[],[f31,f45,f49]) ).

fof(f31,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f178,plain,
    ( spl12_2
    | spl12_10 ),
    inference(avatar_split_clause,[],[f66,f134,f96]) ).

fof(f66,plain,
    ( sk_c9 = sF11
    | sk_c9 = sF10 ),
    inference(definition_folding,[],[f35,f65,f64]) ).

fof(f35,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f176,plain,
    ( spl12_6
    | spl12_10 ),
    inference(avatar_split_clause,[],[f79,f134,f115]) ).

fof(f79,plain,
    ( sk_c9 = sF11
    | sk_c7 = sF8 ),
    inference(definition_folding,[],[f36,f56,f65]) ).

fof(f36,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f175,plain,
    ( spl12_11
    | spl12_1 ),
    inference(avatar_split_clause,[],[f46,f92,f138]) ).

fof(f46,plain,
    ( sk_c7 = sF0
    | sk_c8 = sF2 ),
    inference(definition_folding,[],[f7,f42,f45]) ).

fof(f7,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f174,plain,
    ( spl12_8
    | spl12_10 ),
    inference(avatar_split_clause,[],[f76,f134,f124]) ).

fof(f76,plain,
    ( sk_c9 = sF11
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f39,f54,f65]) ).

fof(f39,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f173,plain,
    ( spl12_6
    | spl12_5 ),
    inference(avatar_split_clause,[],[f83,f110,f115]) ).

fof(f83,plain,
    ( sk_c8 = sF6
    | sk_c7 = sF8 ),
    inference(definition_folding,[],[f18,f56,f52]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f172,plain,
    ( spl12_2
    | spl12_3 ),
    inference(avatar_split_clause,[],[f73,f101,f96]) ).

fof(f73,plain,
    ( sk_c3 = sF4
    | sk_c9 = sF10 ),
    inference(definition_folding,[],[f29,f64,f49]) ).

fof(f29,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c9 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f171,plain,
    ( spl12_13
    | spl12_14
    | ~ spl12_1
    | spl12_15
    | spl12_16
    | spl12_17 ),
    inference(avatar_split_clause,[],[f60,f169,f166,f163,f92,f160,f157]) ).

fof(f60,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sk_c8 != multiply(X6,sk_c9)
      | sk_c8 != inverse(X3)
      | sk_c9 != inverse(X5)
      | sk_c7 != sF0
      | sk_c7 != inverse(X8)
      | sk_c8 != inverse(X7)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != inverse(X6)
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c7 != multiply(X7,sk_c8)
      | sk_c7 != multiply(X8,sk_c9) ),
    inference(definition_folding,[],[f41,f42]) ).

fof(f41,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sk_c7 != multiply(X8,sk_c9)
      | sk_c8 != multiply(X6,sk_c9)
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c7 != inverse(X8)
      | sk_c9 != inverse(X5)
      | multiply(sk_c8,sk_c9) != sk_c7
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c8 != inverse(X7)
      | sk_c7 != multiply(X7,sk_c8)
      | sk_c9 != inverse(X6)
      | sk_c8 != inverse(X3) ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( multiply(X5,sk_c9) != X4
      | sk_c7 != multiply(X8,sk_c9)
      | sk_c8 != multiply(X6,sk_c9)
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c7 != inverse(X8)
      | sk_c9 != inverse(X5)
      | multiply(sk_c8,sk_c9) != sk_c7
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c8 != inverse(X7)
      | sk_c7 != multiply(X7,sk_c8)
      | sk_c9 != inverse(X6)
      | sk_c8 != inverse(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f155,plain,
    ( spl12_4
    | spl12_1 ),
    inference(avatar_split_clause,[],[f86,f92,f105]) ).

fof(f86,plain,
    ( sk_c7 = sF0
    | sk_c7 = sF5 ),
    inference(definition_folding,[],[f8,f50,f42]) ).

fof(f8,axiom,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f154,plain,
    ( spl12_12
    | spl12_2 ),
    inference(avatar_split_clause,[],[f75,f96,f144]) ).

fof(f75,plain,
    ( sk_c9 = sF10
    | sk_c9 = sF9 ),
    inference(definition_folding,[],[f11,f57,f64]) ).

fof(f11,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f153,plain,
    ( spl12_11
    | spl12_12 ),
    inference(avatar_split_clause,[],[f78,f144,f138]) ).

fof(f78,plain,
    ( sk_c9 = sF9
    | sk_c8 = sF2 ),
    inference(definition_folding,[],[f13,f45,f57]) ).

fof(f13,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f151,plain,
    ( spl12_9
    | spl12_1 ),
    inference(avatar_split_clause,[],[f44,f92,f129]) ).

fof(f44,plain,
    ( sk_c7 = sF0
    | sk_c8 = sF1 ),
    inference(definition_folding,[],[f4,f43,f42]) ).

fof(f4,axiom,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | sk_c8 = multiply(sk_c4,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f150,plain,
    ( spl12_4
    | spl12_10 ),
    inference(avatar_split_clause,[],[f84,f134,f105]) ).

fof(f84,plain,
    ( sk_c9 = sF11
    | sk_c7 = sF5 ),
    inference(definition_folding,[],[f38,f50,f65]) ).

fof(f38,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f149,plain,
    ( spl12_1
    | spl12_8 ),
    inference(avatar_split_clause,[],[f82,f124,f92]) ).

fof(f82,plain,
    ( sk_c7 = sF7
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f9,f54,f42]) ).

fof(f9,axiom,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | sk_c7 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f148,plain,
    ( spl12_7
    | spl12_2 ),
    inference(avatar_split_clause,[],[f81,f96,f119]) ).

fof(f81,plain,
    ( sk_c9 = sF10
    | sk_c8 = sF3 ),
    inference(definition_folding,[],[f23,f64,f47]) ).

fof(f23,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c9 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f147,plain,
    ( spl12_12
    | spl12_6 ),
    inference(avatar_split_clause,[],[f58,f115,f144]) ).

fof(f58,plain,
    ( sk_c7 = sF8
    | sk_c9 = sF9 ),
    inference(definition_folding,[],[f12,f57,f56]) ).

fof(f12,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f142,plain,
    ( spl12_5
    | spl12_11 ),
    inference(avatar_split_clause,[],[f53,f138,f110]) ).

fof(f53,plain,
    ( sk_c8 = sF2
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f19,f45,f52]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f141,plain,
    ( spl12_10
    | spl12_11 ),
    inference(avatar_split_clause,[],[f67,f138,f134]) ).

fof(f67,plain,
    ( sk_c8 = sF2
    | sk_c9 = sF11 ),
    inference(definition_folding,[],[f37,f65,f45]) ).

fof(f37,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f122,plain,
    ( spl12_6
    | spl12_7 ),
    inference(avatar_split_clause,[],[f59,f119,f115]) ).

fof(f59,plain,
    ( sk_c8 = sF3
    | sk_c7 = sF8 ),
    inference(definition_folding,[],[f24,f56,f47]) ).

fof(f24,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f113,plain,
    ( spl12_4
    | spl12_5 ),
    inference(avatar_split_clause,[],[f62,f110,f105]) ).

fof(f62,plain,
    ( sk_c8 = sF6
    | sk_c7 = sF5 ),
    inference(definition_folding,[],[f20,f50,f52]) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f108,plain,
    ( spl12_3
    | spl12_4 ),
    inference(avatar_split_clause,[],[f51,f105,f101]) ).

fof(f51,plain,
    ( sk_c7 = sF5
    | sk_c3 = sF4 ),
    inference(definition_folding,[],[f32,f50,f49]) ).

fof(f32,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f99,plain,
    ( spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f77,f96,f92]) ).

fof(f77,plain,
    ( sk_c9 = sF10
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f5,f64,f42]) ).

fof(f5,axiom,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | sk_c9 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP319-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:21:40 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.50  % (21236)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)
% 0.19/0.51  % (21228)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)
% 0.19/0.51  % (21220)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)
% 0.19/0.52  % (21227)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)
% 0.19/0.53  % (21217)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)
% 0.19/0.53  % (21217)Refutation not found, incomplete strategy% (21217)------------------------------
% 0.19/0.53  % (21217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21217)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (21217)Memory used [KB]: 5884
% 0.19/0.53  % (21217)Time elapsed: 0.117 s
% 0.19/0.53  % (21217)Instructions burned: 4 (million)
% 0.19/0.53  % (21217)------------------------------
% 0.19/0.53  % (21217)------------------------------
% 0.19/0.53  % (21227)Instruction limit reached!
% 0.19/0.53  % (21227)------------------------------
% 0.19/0.53  % (21227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21215)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)
% 0.19/0.53  % (21227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21227)Termination reason: Unknown
% 0.19/0.53  % (21227)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (21227)Memory used [KB]: 5884
% 0.19/0.53  % (21227)Time elapsed: 0.004 s
% 0.19/0.53  % (21227)Instructions burned: 3 (million)
% 0.19/0.53  % (21227)------------------------------
% 0.19/0.53  % (21227)------------------------------
% 0.19/0.53  % (21240)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.53  % (21218)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.53  % (21216)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  % (21240)Refutation not found, incomplete strategy% (21240)------------------------------
% 0.19/0.53  % (21240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21240)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (21240)Memory used [KB]: 5884
% 0.19/0.53  % (21240)Time elapsed: 0.129 s
% 0.19/0.53  % (21240)Instructions burned: 4 (million)
% 0.19/0.53  % (21240)------------------------------
% 0.19/0.53  % (21240)------------------------------
% 0.19/0.53  % (21219)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  % (21214)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  % (21216)Instruction limit reached!
% 0.19/0.53  % (21216)------------------------------
% 0.19/0.53  % (21216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21216)Termination reason: Unknown
% 0.19/0.53  % (21216)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (21216)Memory used [KB]: 5884
% 0.19/0.53  % (21216)Time elapsed: 0.003 s
% 0.19/0.53  % (21216)Instructions burned: 4 (million)
% 0.19/0.53  % (21216)------------------------------
% 0.19/0.53  % (21216)------------------------------
% 0.19/0.54  % (21226)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)
% 0.19/0.54  % (21225)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)
% 0.19/0.54  % (21232)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.54  % (21226)Instruction limit reached!
% 0.19/0.54  % (21226)------------------------------
% 0.19/0.54  % (21226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21226)Termination reason: Unknown
% 0.19/0.54  % (21226)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (21226)Memory used [KB]: 5884
% 0.19/0.54  % (21226)Time elapsed: 0.124 s
% 0.19/0.54  % (21226)Instructions burned: 5 (million)
% 0.19/0.54  % (21226)------------------------------
% 0.19/0.54  % (21226)------------------------------
% 0.19/0.54  % (21230)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (21231)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  % (21230)Instruction limit reached!
% 0.19/0.54  % (21230)------------------------------
% 0.19/0.54  % (21230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21230)Termination reason: Unknown
% 0.19/0.54  % (21230)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (21230)Memory used [KB]: 1279
% 0.19/0.54  % (21230)Time elapsed: 0.002 s
% 0.19/0.54  % (21230)Instructions burned: 3 (million)
% 0.19/0.54  % (21230)------------------------------
% 0.19/0.54  % (21230)------------------------------
% 0.19/0.54  % (21243)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)
% 0.19/0.54  % (21235)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)
% 0.19/0.54  % (21224)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54  % (21242)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.54  % (21228)Instruction limit reached!
% 0.19/0.54  % (21228)------------------------------
% 0.19/0.54  % (21228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21228)Termination reason: Unknown
% 0.19/0.54  % (21228)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (21228)Memory used [KB]: 1663
% 0.19/0.54  % (21228)Time elapsed: 0.080 s
% 0.19/0.54  % (21228)Instructions burned: 29 (million)
% 0.19/0.54  % (21228)------------------------------
% 0.19/0.54  % (21228)------------------------------
% 0.19/0.54  % (21222)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54  % (21221)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (21242)Refutation not found, incomplete strategy% (21242)------------------------------
% 0.19/0.54  % (21242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21242)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (21242)Memory used [KB]: 5884
% 0.19/0.54  % (21242)Time elapsed: 0.139 s
% 0.19/0.54  % (21242)Instructions burned: 4 (million)
% 0.19/0.54  % (21242)------------------------------
% 0.19/0.54  % (21242)------------------------------
% 0.19/0.54  % (21224)Instruction limit reached!
% 0.19/0.54  % (21224)------------------------------
% 0.19/0.54  % (21224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21222)Instruction limit reached!
% 0.19/0.54  % (21222)------------------------------
% 0.19/0.54  % (21222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21222)Termination reason: Unknown
% 0.19/0.54  % (21222)Termination phase: Saturation
% 0.19/0.54  % (21224)Termination reason: Unknown
% 0.19/0.54  
% 0.19/0.54  % (21224)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (21222)Memory used [KB]: 5884
% 0.19/0.54  % (21222)Time elapsed: 0.139 s
% 0.19/0.54  % (21224)Memory used [KB]: 6012
% 0.19/0.54  % (21222)Instructions burned: 5 (million)
% 0.19/0.54  % (21224)Time elapsed: 0.143 s
% 0.19/0.54  % (21222)------------------------------
% 0.19/0.54  % (21222)------------------------------
% 0.19/0.54  % (21224)Instructions burned: 7 (million)
% 0.19/0.54  % (21224)------------------------------
% 0.19/0.54  % (21224)------------------------------
% 0.19/0.54  % (21223)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (21238)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)
% 0.19/0.55  % (21241)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.55  % (21234)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.55  % (21239)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)
% 0.19/0.55  % (21234)Instruction limit reached!
% 0.19/0.55  % (21234)------------------------------
% 0.19/0.55  % (21234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (21234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (21234)Termination reason: Unknown
% 0.19/0.55  % (21234)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (21234)Memory used [KB]: 1407
% 0.19/0.55  % (21234)Time elapsed: 0.149 s
% 0.19/0.55  % (21234)Instructions burned: 7 (million)
% 0.19/0.55  % (21234)------------------------------
% 0.19/0.55  % (21234)------------------------------
% 0.19/0.55  % (21233)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (21233)Instruction limit reached!
% 0.19/0.55  % (21233)------------------------------
% 0.19/0.55  % (21233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (21233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (21233)Termination reason: Unknown
% 0.19/0.55  % (21233)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (21233)Memory used [KB]: 6012
% 0.19/0.55  % (21233)Time elapsed: 0.151 s
% 0.19/0.55  % (21233)Instructions burned: 7 (million)
% 0.19/0.55  % (21233)------------------------------
% 0.19/0.55  % (21233)------------------------------
% 0.19/0.55  % (21239)Refutation not found, incomplete strategy% (21239)------------------------------
% 0.19/0.55  % (21239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (21239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (21239)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (21239)Memory used [KB]: 6012
% 0.19/0.55  % (21239)Time elapsed: 0.150 s
% 0.19/0.55  % (21239)Instructions burned: 11 (million)
% 0.19/0.55  % (21239)------------------------------
% 0.19/0.55  % (21239)------------------------------
% 0.19/0.56  % (21231)Instruction limit reached!
% 0.19/0.56  % (21231)------------------------------
% 0.19/0.56  % (21231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (21231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (21231)Termination reason: Unknown
% 0.19/0.56  % (21231)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (21231)Memory used [KB]: 6012
% 0.19/0.56  % (21231)Time elapsed: 0.141 s
% 0.19/0.56  % (21231)Instructions burned: 8 (million)
% 0.19/0.56  % (21231)------------------------------
% 0.19/0.56  % (21231)------------------------------
% 0.19/0.57  % (21229)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.57  % (21237)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)
% 0.19/0.57  % (21225)Instruction limit reached!
% 0.19/0.57  % (21225)------------------------------
% 0.19/0.57  % (21225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (21225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (21225)Termination reason: Unknown
% 0.19/0.57  % (21225)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (21225)Memory used [KB]: 6396
% 0.19/0.57  % (21225)Time elapsed: 0.157 s
% 0.19/0.57  % (21225)Instructions burned: 25 (million)
% 0.19/0.57  % (21225)------------------------------
% 0.19/0.57  % (21225)------------------------------
% 0.19/0.57  % (21237)Refutation not found, incomplete strategy% (21237)------------------------------
% 0.19/0.57  % (21237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (21237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (21237)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57  
% 0.19/0.57  % (21237)Memory used [KB]: 5884
% 0.19/0.57  % (21237)Time elapsed: 0.167 s
% 0.19/0.57  % (21237)Instructions burned: 4 (million)
% 0.19/0.57  % (21237)------------------------------
% 0.19/0.57  % (21237)------------------------------
% 0.19/0.57  % (21220)Instruction limit reached!
% 0.19/0.57  % (21220)------------------------------
% 0.19/0.57  % (21220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (21220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (21220)Termination reason: Unknown
% 0.19/0.57  % (21220)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (21220)Memory used [KB]: 1535
% 0.19/0.57  % (21220)Time elapsed: 0.118 s
% 0.19/0.57  % (21220)Instructions burned: 49 (million)
% 0.19/0.57  % (21220)------------------------------
% 0.19/0.57  % (21220)------------------------------
% 1.69/0.57  % (21219)Instruction limit reached!
% 1.69/0.57  % (21219)------------------------------
% 1.69/0.57  % (21219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (21219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (21219)Termination reason: Unknown
% 1.69/0.57  % (21219)Termination phase: Saturation
% 1.69/0.57  
% 1.69/0.57  % (21219)Memory used [KB]: 6140
% 1.69/0.57  % (21219)Time elapsed: 0.156 s
% 1.69/0.57  % (21219)Instructions burned: 27 (million)
% 1.69/0.57  % (21219)------------------------------
% 1.69/0.57  % (21219)------------------------------
% 1.69/0.57  % (21229)Instruction limit reached!
% 1.69/0.57  % (21229)------------------------------
% 1.69/0.57  % (21229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (21229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (21229)Termination reason: Unknown
% 1.69/0.57  % (21229)Termination phase: Finite model building preprocessing
% 1.69/0.57  
% 1.69/0.57  % (21229)Memory used [KB]: 6012
% 1.69/0.57  % (21229)Time elapsed: 0.004 s
% 1.69/0.57  % (21229)Instructions burned: 7 (million)
% 1.69/0.57  % (21229)------------------------------
% 1.69/0.57  % (21229)------------------------------
% 1.69/0.59  % (21218)Instruction limit reached!
% 1.69/0.59  % (21218)------------------------------
% 1.69/0.59  % (21218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59  % (21218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59  % (21218)Termination reason: Unknown
% 1.69/0.59  % (21218)Termination phase: Saturation
% 1.69/0.59  
% 1.69/0.59  % (21218)Memory used [KB]: 6524
% 1.69/0.59  % (21218)Time elapsed: 0.165 s
% 1.69/0.59  % (21218)Instructions burned: 35 (million)
% 1.69/0.59  % (21218)------------------------------
% 1.69/0.59  % (21218)------------------------------
% 1.86/0.59  % (21232)Instruction limit reached!
% 1.86/0.59  % (21232)------------------------------
% 1.86/0.59  % (21232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59  % (21232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59  % (21232)Termination reason: Unknown
% 1.86/0.59  % (21232)Termination phase: Saturation
% 1.86/0.59  
% 1.86/0.59  % (21232)Memory used [KB]: 10746
% 1.86/0.59  % (21232)Time elapsed: 0.182 s
% 1.86/0.59  % (21232)Instructions burned: 30 (million)
% 1.86/0.59  % (21232)------------------------------
% 1.86/0.59  % (21232)------------------------------
% 1.86/0.61  % (21215)Instruction limit reached!
% 1.86/0.61  % (21215)------------------------------
% 1.86/0.61  % (21215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61  % (21215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61  % (21215)Termination reason: Unknown
% 1.86/0.61  % (21215)Termination phase: Saturation
% 1.86/0.61  
% 1.86/0.61  % (21215)Memory used [KB]: 1791
% 1.86/0.61  % (21215)Time elapsed: 0.205 s
% 1.86/0.61  % (21215)Instructions burned: 43 (million)
% 1.86/0.61  % (21215)------------------------------
% 1.86/0.61  % (21215)------------------------------
% 1.86/0.62  % (21223)Instruction limit reached!
% 1.86/0.62  % (21223)------------------------------
% 1.86/0.62  % (21223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.62  % (21223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.62  % (21223)Termination reason: Unknown
% 1.86/0.62  % (21223)Termination phase: Saturation
% 1.86/0.62  
% 1.86/0.62  % (21223)Memory used [KB]: 6780
% 1.86/0.62  % (21223)Time elapsed: 0.211 s
% 1.86/0.62  % (21223)Instructions burned: 51 (million)
% 1.86/0.62  % (21223)------------------------------
% 1.86/0.62  % (21223)------------------------------
% 1.86/0.62  % (21238)Instruction limit reached!
% 1.86/0.62  % (21238)------------------------------
% 1.86/0.62  % (21238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.62  % (21238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.62  % (21238)Termination reason: Unknown
% 1.86/0.62  % (21238)Termination phase: Saturation
% 1.86/0.62  
% 1.86/0.62  % (21238)Memory used [KB]: 6908
% 1.86/0.62  % (21238)Time elapsed: 0.206 s
% 1.86/0.62  % (21238)Instructions burned: 47 (million)
% 1.86/0.62  % (21238)------------------------------
% 1.86/0.62  % (21238)------------------------------
% 1.86/0.63  % (21221)Instruction limit reached!
% 1.86/0.63  % (21221)------------------------------
% 1.86/0.63  % (21221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.63  % (21221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.63  % (21221)Termination reason: Unknown
% 1.86/0.63  % (21221)Termination phase: Saturation
% 1.86/0.63  
% 1.86/0.63  % (21221)Memory used [KB]: 6908
% 1.86/0.63  % (21221)Time elapsed: 0.222 s
% 1.86/0.63  % (21221)Instructions burned: 52 (million)
% 1.86/0.63  % (21221)------------------------------
% 1.86/0.63  % (21221)------------------------------
% 1.86/0.63  % (21214)First to succeed.
% 1.86/0.63  % (21235)Refutation not found, non-redundant clauses discarded% (21235)------------------------------
% 1.86/0.63  % (21235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.63  % (21235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.63  % (21235)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.86/0.63  
% 1.86/0.63  % (21235)Memory used [KB]: 7036
% 1.86/0.63  % (21235)Time elapsed: 0.199 s
% 1.86/0.63  % (21235)Instructions burned: 65 (million)
% 1.86/0.63  % (21235)------------------------------
% 1.86/0.63  % (21235)------------------------------
% 1.86/0.63  % (21241)Instruction limit reached!
% 1.86/0.63  % (21241)------------------------------
% 1.86/0.63  % (21241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.63  % (21241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.63  % (21241)Termination reason: Unknown
% 1.86/0.63  % (21241)Termination phase: Saturation
% 1.86/0.63  
% 1.86/0.63  % (21241)Memory used [KB]: 1918
% 1.86/0.63  % (21241)Time elapsed: 0.232 s
% 1.86/0.63  % (21241)Instructions burned: 73 (million)
% 1.86/0.63  % (21241)------------------------------
% 1.86/0.63  % (21241)------------------------------
% 2.20/0.65  % (21214)Refutation found. Thanks to Tanya!
% 2.20/0.65  % SZS status Unsatisfiable for theBenchmark
% 2.20/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.20/0.65  % (21214)------------------------------
% 2.20/0.65  % (21214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (21214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (21214)Termination reason: Refutation
% 2.20/0.65  
% 2.20/0.65  % (21214)Memory used [KB]: 6652
% 2.20/0.65  % (21214)Time elapsed: 0.222 s
% 2.20/0.65  % (21214)Instructions burned: 54 (million)
% 2.20/0.65  % (21214)------------------------------
% 2.20/0.65  % (21214)------------------------------
% 2.20/0.65  % (21213)Success in time 0.282 s
%------------------------------------------------------------------------------