TSTP Solution File: GRP308-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP308-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:15:17 EDT 2022

% Result   : Unsatisfiable 1.31s 0.62s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   60
% Syntax   : Number of formulae    :  345 (  30 unt;   0 def)
%            Number of atoms       : 1168 ( 387 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives : 1579 ( 756   ~; 803   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  21 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  21 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1841,plain,
    $false,
    inference(avatar_sat_refutation,[],[f99,f120,f125,f140,f141,f146,f155,f156,f157,f158,f159,f160,f162,f168,f169,f171,f172,f173,f176,f178,f181,f182,f184,f185,f187,f227,f317,f367,f397,f416,f522,f741,f1077,f1107,f1177,f1422,f1451,f1521,f1541,f1573,f1622,f1719,f1839]) ).

fof(f1839,plain,
    ( spl12_4
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_18 ),
    inference(avatar_contradiction_clause,[],[f1838]) ).

fof(f1838,plain,
    ( $false
    | spl12_4
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_18 ),
    inference(subsumption_resolution,[],[f1837,f1721]) ).

fof(f1721,plain,
    ( identity != sF3
    | spl12_4
    | ~ spl12_18 ),
    inference(backward_demodulation,[],[f107,f211]) ).

fof(f211,plain,
    ( identity = sk_c6
    | ~ spl12_18 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl12_18
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).

fof(f107,plain,
    ( sk_c6 != sF3
    | spl12_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl12_4
  <=> sk_c6 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f1837,plain,
    ( identity = sF3
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1836,f1785]) ).

fof(f1785,plain,
    ( identity = inverse(identity)
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1765,f1779]) ).

fof(f1779,plain,
    ( identity = sk_c3
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1768,f2]) ).

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

fof(f1768,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_18 ),
    inference(backward_demodulation,[],[f1650,f1756]) ).

fof(f1756,plain,
    ( identity = sk_c8
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1731,f1]) ).

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

fof(f1731,plain,
    ( sk_c8 = multiply(identity,identity)
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_18 ),
    inference(backward_demodulation,[],[f1654,f211]) ).

fof(f1654,plain,
    ( sk_c8 = multiply(sk_c6,sk_c6)
    | ~ spl12_11
    | ~ spl12_13 ),
    inference(backward_demodulation,[],[f1651,f145]) ).

fof(f145,plain,
    ( sk_c6 = sF2
    | ~ spl12_13 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f143,plain,
    ( spl12_13
  <=> sk_c6 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).

fof(f1651,plain,
    ( sk_c8 = multiply(sF2,sk_c6)
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f356,f133]) ).

fof(f133,plain,
    ( sk_c6 = sF1
    | ~ spl12_11 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl12_11
  <=> sk_c6 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).

fof(f356,plain,
    sk_c8 = multiply(sF2,sF1),
    inference(forward_demodulation,[],[f278,f45]) ).

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

fof(f278,plain,
    sk_c8 = multiply(inverse(sk_c5),sF1),
    inference(superposition,[],[f248,f43]) ).

fof(f43,plain,
    multiply(sk_c5,sk_c8) = sF1,
    introduced(function_definition,[]) ).

fof(f248,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f239,f1]) ).

fof(f239,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

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

fof(f1650,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f282,f138]) ).

fof(f138,plain,
    ( sk_c8 = sF11
    | ~ spl12_12 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl12_12
  <=> sk_c8 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).

fof(f282,plain,
    sk_c3 = multiply(inverse(sF11),identity),
    inference(superposition,[],[f248,f195]) ).

fof(f195,plain,
    identity = multiply(sF11,sk_c3),
    inference(superposition,[],[f2,f72]) ).

fof(f72,plain,
    inverse(sk_c3) = sF11,
    introduced(function_definition,[]) ).

fof(f1765,plain,
    ( identity = inverse(sk_c3)
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_18 ),
    inference(backward_demodulation,[],[f1643,f1756]) ).

fof(f1643,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f72,f138]) ).

fof(f1836,plain,
    ( inverse(identity) = sF3
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f46,f1756]) ).

fof(f46,plain,
    inverse(sk_c8) = sF3,
    introduced(function_definition,[]) ).

fof(f1719,plain,
    ( spl12_18
    | ~ spl12_1
    | ~ spl12_14 ),
    inference(avatar_split_clause,[],[f1716,f148,f92,f210]) ).

fof(f92,plain,
    ( spl12_1
  <=> sk_c6 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f148,plain,
    ( spl12_14
  <=> sk_c7 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).

fof(f1716,plain,
    ( identity = sk_c6
    | ~ spl12_1
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f1714,f2]) ).

fof(f1714,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl12_1
    | ~ spl12_14 ),
    inference(superposition,[],[f248,f1637]) ).

fof(f1637,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl12_1
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f382,f150]) ).

fof(f150,plain,
    ( sk_c7 = sF7
    | ~ spl12_14 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f382,plain,
    ( sk_c7 = multiply(sF7,sk_c6)
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f358,f94]) ).

fof(f94,plain,
    ( sk_c6 = sF5
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f358,plain,
    sk_c7 = multiply(sF7,sF5),
    inference(forward_demodulation,[],[f277,f54]) ).

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

fof(f277,plain,
    sk_c7 = multiply(inverse(sk_c4),sF5),
    inference(superposition,[],[f248,f49]) ).

fof(f49,plain,
    multiply(sk_c4,sk_c7) = sF5,
    introduced(function_definition,[]) ).

fof(f1622,plain,
    ( ~ spl12_1
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_14
    | ~ spl12_18
    | spl12_19 ),
    inference(avatar_contradiction_clause,[],[f1621]) ).

fof(f1621,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_14
    | ~ spl12_18
    | spl12_19 ),
    inference(subsumption_resolution,[],[f1620,f1555]) ).

fof(f1555,plain,
    ( identity != sk_c7
    | ~ spl12_18
    | spl12_19 ),
    inference(forward_demodulation,[],[f217,f211]) ).

fof(f217,plain,
    ( sk_c7 != sk_c6
    | spl12_19 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl12_19
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).

fof(f1620,plain,
    ( identity = sk_c7
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_14
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1619,f1605]) ).

fof(f1605,plain,
    ( ! [X11] : multiply(sk_c7,X11) = X11
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1604,f1]) ).

fof(f1604,plain,
    ( ! [X11] : multiply(identity,X11) = multiply(sk_c7,X11)
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1603,f1567]) ).

fof(f1567,plain,
    ( identity = sk_c3
    | ~ spl12_4
    | ~ spl12_12
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1565,f2]) ).

fof(f1565,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl12_4
    | ~ spl12_12
    | ~ spl12_18 ),
    inference(backward_demodulation,[],[f282,f1561]) ).

fof(f1561,plain,
    ( identity = sF11
    | ~ spl12_4
    | ~ spl12_12
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f138,f1545]) ).

fof(f1545,plain,
    ( identity = sk_c8
    | ~ spl12_4
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1544,f2]) ).

fof(f1544,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl12_4
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f275,f211]) ).

fof(f275,plain,
    ( sk_c8 = multiply(inverse(sk_c6),identity)
    | ~ spl12_4 ),
    inference(superposition,[],[f248,f194]) ).

fof(f194,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl12_4 ),
    inference(superposition,[],[f2,f189]) ).

fof(f189,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl12_4 ),
    inference(backward_demodulation,[],[f46,f106]) ).

fof(f106,plain,
    ( sk_c6 = sF3
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f1603,plain,
    ( ! [X11] : multiply(sk_c3,X11) = multiply(sk_c7,X11)
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1602,f1]) ).

fof(f1602,plain,
    ( ! [X11] : multiply(sk_c7,X11) = multiply(sk_c3,multiply(identity,X11))
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1601,f1545]) ).

fof(f1601,plain,
    ( ! [X11] : multiply(sk_c3,multiply(sk_c8,X11)) = multiply(sk_c7,X11)
    | ~ spl12_9 ),
    inference(forward_demodulation,[],[f243,f124]) ).

fof(f124,plain,
    ( sk_c7 = sF9
    | ~ spl12_9 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl12_9
  <=> sk_c7 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).

fof(f243,plain,
    ! [X11] : multiply(sk_c3,multiply(sk_c8,X11)) = multiply(sF9,X11),
    inference(superposition,[],[f3,f57]) ).

fof(f57,plain,
    multiply(sk_c3,sk_c8) = sF9,
    introduced(function_definition,[]) ).

fof(f1619,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl12_1
    | ~ spl12_14
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f1618,f150]) ).

fof(f1618,plain,
    ( sk_c7 = multiply(sF7,identity)
    | ~ spl12_1
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f382,f211]) ).

fof(f1573,plain,
    ( ~ spl12_4
    | ~ spl12_18
    | spl12_23 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1572,plain,
    ( $false
    | ~ spl12_4
    | ~ spl12_18
    | spl12_23 ),
    inference(subsumption_resolution,[],[f1571,f1545]) ).

fof(f1571,plain,
    ( identity != sk_c8
    | ~ spl12_18
    | spl12_23 ),
    inference(forward_demodulation,[],[f235,f211]) ).

fof(f235,plain,
    ( sk_c8 != sk_c6
    | spl12_23 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl12_23
  <=> sk_c8 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).

fof(f1541,plain,
    ( ~ spl12_3
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(avatar_contradiction_clause,[],[f1540]) ).

fof(f1540,plain,
    ( $false
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(subsumption_resolution,[],[f1539,f1437]) ).

fof(f1437,plain,
    ( identity = inverse(identity)
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f771,f1427]) ).

fof(f1427,plain,
    ( identity = sk_c8
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1186,f1168]) ).

fof(f1168,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl12_4
    | ~ spl12_23 ),
    inference(superposition,[],[f2,f771]) ).

fof(f1186,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl12_3
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f1142,f1178]) ).

fof(f1178,plain,
    ( sk_c8 = sk_c7
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f216,f234]) ).

fof(f234,plain,
    ( sk_c8 = sk_c6
    | ~ spl12_23 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f216,plain,
    ( sk_c7 = sk_c6
    | ~ spl12_19 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f1142,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl12_3
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f48,f1140]) ).

fof(f1140,plain,
    ( sk_c8 = sF4
    | ~ spl12_3
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1053,f102]) ).

fof(f102,plain,
    ( sk_c8 = sF8
    | ~ spl12_3 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl12_3
  <=> sk_c8 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

fof(f1053,plain,
    ( sF4 = sF8
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1052,f48]) ).

fof(f1052,plain,
    ( multiply(sk_c8,sk_c7) = sF8
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f56,f234]) ).

fof(f56,plain,
    multiply(sk_c6,sk_c7) = sF8,
    introduced(function_definition,[]) ).

fof(f48,plain,
    multiply(sk_c8,sk_c7) = sF4,
    introduced(function_definition,[]) ).

fof(f771,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl12_4
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f189,f234]) ).

fof(f1539,plain,
    ( identity != inverse(identity)
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1532,f1437]) ).

fof(f1532,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(trivial_inequality_removal,[],[f1527]) ).

fof(f1527,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(superposition,[],[f1524,f2]) ).

fof(f1524,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1523,f1427]) ).

fof(f1523,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | sk_c8 != inverse(X5) )
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1522,f1442]) ).

fof(f1442,plain,
    ( identity = sk_c7
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f1178,f1427]) ).

fof(f1522,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,identity)
        | sk_c8 != inverse(X5) )
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f113,f1427]) ).

fof(f113,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c8)
        | sk_c8 != inverse(X5) )
    | ~ spl12_6 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl12_6
  <=> ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

fof(f1521,plain,
    ( ~ spl12_3
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(avatar_contradiction_clause,[],[f1520]) ).

fof(f1520,plain,
    ( $false
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(subsumption_resolution,[],[f1519,f1437]) ).

fof(f1519,plain,
    ( identity != inverse(identity)
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1504,f1437]) ).

fof(f1504,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(trivial_inequality_removal,[],[f1499]) ).

fof(f1499,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(superposition,[],[f1474,f2]) ).

fof(f1474,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1473,f211]) ).

fof(f1473,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | sk_c6 != inverse(X7) )
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f1472,f211]) ).

fof(f1472,plain,
    ( ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(X7,identity) )
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_7
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f116,f1427]) ).

fof(f116,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(X7,sk_c8)
        | sk_c6 != inverse(X7) )
    | ~ spl12_7 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl12_7
  <=> ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(X7,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).

fof(f1451,plain,
    ( spl12_18
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(avatar_split_clause,[],[f1431,f233,f215,f105,f101,f210]) ).

fof(f1431,plain,
    ( identity = sk_c6
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f234,f1427]) ).

fof(f1422,plain,
    ( ~ spl12_4
    | ~ spl12_8
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(avatar_contradiction_clause,[],[f1421]) ).

fof(f1421,plain,
    ( $false
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(subsumption_resolution,[],[f1420,f1331]) ).

fof(f1331,plain,
    ( identity = inverse(identity)
    | ~ spl12_4
    | ~ spl12_18
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f771,f1325]) ).

fof(f1325,plain,
    ( identity = sk_c8
    | ~ spl12_18
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f234,f211]) ).

fof(f1420,plain,
    ( identity != inverse(identity)
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1419,f1331]) ).

fof(f1419,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_8
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(subsumption_resolution,[],[f1414,f1]) ).

fof(f1414,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl12_8
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(superposition,[],[f1342,f2]) ).

fof(f1342,plain,
    ( ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) )
    | ~ spl12_8
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1340,f1325]) ).

fof(f1340,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
        | identity != inverse(X4) )
    | ~ spl12_8
    | ~ spl12_18
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f1323,f1325]) ).

fof(f1323,plain,
    ( ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != multiply(sk_c8,multiply(X4,sk_c8)) )
    | ~ spl12_8
    | ~ spl12_19
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f119,f1178]) ).

fof(f119,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != inverse(X4) )
    | ~ spl12_8 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl12_8
  <=> ! [X4] :
        ( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).

fof(f1177,plain,
    ( ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16
    | spl12_19
    | ~ spl12_23 ),
    inference(avatar_contradiction_clause,[],[f1176]) ).

fof(f1176,plain,
    ( $false
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16
    | spl12_19
    | ~ spl12_23 ),
    inference(subsumption_resolution,[],[f1175,f1144]) ).

fof(f1144,plain,
    ( sk_c8 != sk_c7
    | spl12_19
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f217,f234]) ).

fof(f1175,plain,
    ( sk_c8 = sk_c7
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f1163,f1174]) ).

fof(f1174,plain,
    ( sk_c8 = multiply(sk_c8,sk_c2)
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1172,f745]) ).

fof(f745,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f52,f154]) ).

fof(f154,plain,
    ( sk_c8 = sF6
    | ~ spl12_15 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl12_15
  <=> sk_c8 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).

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

fof(f1172,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c2)
    | ~ spl12_10 ),
    inference(superposition,[],[f248,f742]) ).

fof(f742,plain,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f42,f129]) ).

fof(f129,plain,
    ( sk_c2 = sF0
    | ~ spl12_10 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl12_10
  <=> sk_c2 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).

fof(f42,plain,
    multiply(sk_c1,sk_c8) = sF0,
    introduced(function_definition,[]) ).

fof(f1163,plain,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f62,f166]) ).

fof(f166,plain,
    ( sk_c7 = sF10
    | ~ spl12_16 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f164,plain,
    ( spl12_16
  <=> sk_c7 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).

fof(f62,plain,
    multiply(sk_c8,sk_c2) = sF10,
    introduced(function_definition,[]) ).

fof(f1107,plain,
    ( spl12_3
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(avatar_contradiction_clause,[],[f1106]) ).

fof(f1106,plain,
    ( $false
    | spl12_3
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(subsumption_resolution,[],[f1104,f1086]) ).

fof(f1086,plain,
    ( identity != sF8
    | spl12_3
    | ~ spl12_4
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f103,f1055]) ).

fof(f1055,plain,
    ( identity = sk_c8
    | ~ spl12_4
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f1050,f751]) ).

fof(f751,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl12_4
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f194,f234]) ).

fof(f1050,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f706,f1049]) ).

fof(f1049,plain,
    ( sk_c8 = sF1
    | ~ spl12_11
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f133,f234]) ).

fof(f706,plain,
    ( sk_c8 = multiply(sk_c8,sF1)
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f369,f234]) ).

fof(f369,plain,
    ( sk_c8 = multiply(sk_c6,sF1)
    | ~ spl12_13 ),
    inference(backward_demodulation,[],[f356,f145]) ).

fof(f103,plain,
    ( sk_c8 != sF8
    | spl12_3 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f1104,plain,
    ( identity = sF8
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f1080,f1093]) ).

fof(f1093,plain,
    ( identity = sk_c7
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1089,f1]) ).

fof(f1089,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f1084,f1088]) ).

fof(f1088,plain,
    ( identity = sk_c3
    | ~ spl12_4
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1087,f1]) ).

fof(f1087,plain,
    ( sk_c3 = multiply(identity,identity)
    | ~ spl12_4
    | ~ spl12_11
    | ~ spl12_12
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1002,f1055]) ).

fof(f1002,plain,
    ( sk_c3 = multiply(sk_c8,identity)
    | ~ spl12_4
    | ~ spl12_12
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1001,f771]) ).

fof(f1001,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f282,f138]) ).

fof(f1084,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f398,f1055]) ).

fof(f398,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl12_9 ),
    inference(forward_demodulation,[],[f57,f124]) ).

fof(f1080,plain,
    ( sk_c7 = sF8
    | ~ spl12_4
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f1053,f1079]) ).

fof(f1079,plain,
    ( sk_c7 = sF4
    | ~ spl12_4
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f1056,f1]) ).

fof(f1056,plain,
    ( multiply(identity,sk_c7) = sF4
    | ~ spl12_4
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f48,f1055]) ).

fof(f1077,plain,
    ( ~ spl12_4
    | ~ spl12_11
    | ~ spl12_13
    | spl12_18
    | ~ spl12_23 ),
    inference(avatar_contradiction_clause,[],[f1076]) ).

fof(f1076,plain,
    ( $false
    | ~ spl12_4
    | ~ spl12_11
    | ~ spl12_13
    | spl12_18
    | ~ spl12_23 ),
    inference(subsumption_resolution,[],[f1059,f212]) ).

fof(f212,plain,
    ( identity != sk_c6
    | spl12_18 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f1059,plain,
    ( identity = sk_c6
    | ~ spl12_4
    | ~ spl12_11
    | ~ spl12_13
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f234,f1055]) ).

fof(f741,plain,
    ( ~ spl12_1
    | ~ spl12_3
    | ~ spl12_14
    | spl12_19
    | ~ spl12_23 ),
    inference(avatar_contradiction_clause,[],[f740]) ).

fof(f740,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_14
    | spl12_19
    | ~ spl12_23 ),
    inference(subsumption_resolution,[],[f739,f718]) ).

fof(f718,plain,
    ( identity != sk_c8
    | ~ spl12_3
    | spl12_19
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f704,f708]) ).

fof(f708,plain,
    ( identity = sk_c7
    | ~ spl12_3
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f705,f2]) ).

fof(f705,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl12_3
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f274,f234]) ).

fof(f274,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c8)
    | ~ spl12_3 ),
    inference(superposition,[],[f248,f192]) ).

fof(f192,plain,
    ( sk_c8 = multiply(sk_c6,sk_c7)
    | ~ spl12_3 ),
    inference(backward_demodulation,[],[f56,f102]) ).

fof(f704,plain,
    ( sk_c8 != sk_c7
    | spl12_19
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f217,f234]) ).

fof(f739,plain,
    ( identity = sk_c8
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_14
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f738,f736]) ).

fof(f736,plain,
    ( ! [X12] : multiply(sk_c8,X12) = X12
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_14
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f735,f1]) ).

fof(f735,plain,
    ( ! [X12] : multiply(sk_c8,X12) = multiply(identity,X12)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_14
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f734,f720]) ).

fof(f720,plain,
    ( identity = sk_c4
    | ~ spl12_3
    | ~ spl12_14
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f715,f2]) ).

fof(f715,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl12_3
    | ~ spl12_14
    | ~ spl12_23 ),
    inference(backward_demodulation,[],[f411,f708]) ).

fof(f411,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl12_14 ),
    inference(backward_demodulation,[],[f281,f150]) ).

fof(f281,plain,
    sk_c4 = multiply(inverse(sF7),identity),
    inference(superposition,[],[f248,f196]) ).

fof(f196,plain,
    identity = multiply(sF7,sk_c4),
    inference(superposition,[],[f2,f54]) ).

fof(f734,plain,
    ( ! [X12] : multiply(sk_c4,X12) = multiply(sk_c8,X12)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f733,f1]) ).

fof(f733,plain,
    ( ! [X12] : multiply(sk_c4,multiply(identity,X12)) = multiply(sk_c8,X12)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f732,f708]) ).

fof(f732,plain,
    ( ! [X12] : multiply(sk_c4,multiply(sk_c7,X12)) = multiply(sk_c8,X12)
    | ~ spl12_1
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f401,f234]) ).

fof(f401,plain,
    ( ! [X12] : multiply(sk_c4,multiply(sk_c7,X12)) = multiply(sk_c6,X12)
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f244,f94]) ).

fof(f244,plain,
    ! [X12] : multiply(sk_c4,multiply(sk_c7,X12)) = multiply(sF5,X12),
    inference(superposition,[],[f3,f49]) ).

fof(f738,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl12_3
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f737,f234]) ).

fof(f737,plain,
    ( sk_c8 = multiply(sk_c6,identity)
    | ~ spl12_3
    | ~ spl12_23 ),
    inference(forward_demodulation,[],[f192,f708]) ).

fof(f522,plain,
    ( ~ spl12_1
    | spl12_2
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_14
    | ~ spl12_19 ),
    inference(avatar_contradiction_clause,[],[f521]) ).

fof(f521,plain,
    ( $false
    | ~ spl12_1
    | spl12_2
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_14
    | ~ spl12_19 ),
    inference(subsumption_resolution,[],[f520,f474]) ).

fof(f474,plain,
    ( identity = sk_c8
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_14
    | ~ spl12_19 ),
    inference(forward_demodulation,[],[f467,f2]) ).

fof(f467,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_14
    | ~ spl12_19 ),
    inference(backward_demodulation,[],[f427,f442]) ).

fof(f442,plain,
    ( sk_c8 = sk_c7
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_14
    | ~ spl12_19 ),
    inference(forward_demodulation,[],[f440,f384]) ).

fof(f384,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f381,f138]) ).

fof(f381,plain,
    ( sk_c8 = multiply(sF11,sk_c7)
    | ~ spl12_9 ),
    inference(forward_demodulation,[],[f319,f124]) ).

fof(f319,plain,
    sk_c8 = multiply(sF11,sF9),
    inference(forward_demodulation,[],[f276,f72]) ).

fof(f276,plain,
    sk_c8 = multiply(inverse(sk_c3),sF9),
    inference(superposition,[],[f248,f57]) ).

fof(f440,plain,
    ( sk_c7 = multiply(sk_c8,sk_c7)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_14
    | ~ spl12_19 ),
    inference(backward_demodulation,[],[f429,f437]) ).

fof(f437,plain,
    ( sk_c8 = sk_c4
    | ~ spl12_4
    | ~ spl12_14
    | ~ spl12_19 ),
    inference(backward_demodulation,[],[f411,f428]) ).

fof(f428,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | ~ spl12_4
    | ~ spl12_19 ),
    inference(backward_demodulation,[],[f275,f216]) ).

fof(f429,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl12_1
    | ~ spl12_19 ),
    inference(backward_demodulation,[],[f368,f216]) ).

fof(f368,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f49,f94]) ).

fof(f427,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c8)
    | ~ spl12_3
    | ~ spl12_19 ),
    inference(backward_demodulation,[],[f274,f216]) ).

fof(f520,plain,
    ( identity != sk_c8
    | ~ spl12_1
    | spl12_2
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_14
    | ~ spl12_19 ),
    inference(forward_demodulation,[],[f446,f483]) ).

fof(f483,plain,
    ( identity = sk_c7
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_14
    | ~ spl12_19 ),
    inference(backward_demodulation,[],[f442,f474]) ).

fof(f446,plain,
    ( sk_c8 != sk_c7
    | spl12_2
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_19 ),
    inference(backward_demodulation,[],[f420,f445]) ).

fof(f445,plain,
    ( sk_c8 = sF4
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f48,f384]) ).

fof(f420,plain,
    ( sk_c7 != sF4
    | spl12_2
    | ~ spl12_19 ),
    inference(backward_demodulation,[],[f97,f216]) ).

fof(f97,plain,
    ( sk_c6 != sF4
    | spl12_2 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl12_2
  <=> sk_c6 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f416,plain,
    ( ~ spl12_14
    | spl12_21 ),
    inference(avatar_contradiction_clause,[],[f415]) ).

fof(f415,plain,
    ( $false
    | ~ spl12_14
    | spl12_21 ),
    inference(subsumption_resolution,[],[f414,f226]) ).

fof(f226,plain,
    ( sk_c7 != inverse(sk_c4)
    | spl12_21 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl12_21
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).

fof(f414,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl12_14 ),
    inference(backward_demodulation,[],[f54,f150]) ).

fof(f397,plain,
    ( ~ spl12_2
    | ~ spl12_9
    | ~ spl12_12
    | spl12_23 ),
    inference(avatar_contradiction_clause,[],[f396]) ).

fof(f396,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_9
    | ~ spl12_12
    | spl12_23 ),
    inference(subsumption_resolution,[],[f395,f235]) ).

fof(f395,plain,
    ( sk_c8 = sk_c6
    | ~ spl12_2
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(backward_demodulation,[],[f188,f384]) ).

fof(f188,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl12_2 ),
    inference(backward_demodulation,[],[f48,f98]) ).

fof(f98,plain,
    ( sk_c6 = sF4
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f367,plain,
    ( ~ spl12_2
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(avatar_contradiction_clause,[],[f366]) ).

fof(f366,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(subsumption_resolution,[],[f364,f342]) ).

fof(f342,plain,
    ( identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f293,f328]) ).

fof(f328,plain,
    ( identity = sk_c8
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f324,f303]) ).

fof(f303,plain,
    ( ! [X10] : multiply(sk_c8,X10) = X10
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f298,f253]) ).

fof(f253,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
    | ~ spl12_4 ),
    inference(forward_demodulation,[],[f252,f1]) ).

fof(f252,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl12_4 ),
    inference(superposition,[],[f3,f194]) ).

fof(f298,plain,
    ( ! [X10] : multiply(sk_c6,multiply(sk_c8,X10)) = multiply(sk_c8,X10)
    | ~ spl12_3
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f242,f287]) ).

fof(f287,plain,
    ( sk_c8 = sk_c7
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f190,f286]) ).

fof(f286,plain,
    ( sk_c8 = multiply(sk_c8,sk_c2)
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f279,f191]) ).

fof(f191,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f52,f154]) ).

fof(f279,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c2)
    | ~ spl12_10 ),
    inference(superposition,[],[f248,f193]) ).

fof(f193,plain,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f42,f129]) ).

fof(f190,plain,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f62,f166]) ).

fof(f242,plain,
    ( ! [X10] : multiply(sk_c6,multiply(sk_c7,X10)) = multiply(sk_c8,X10)
    | ~ spl12_3 ),
    inference(superposition,[],[f3,f192]) ).

fof(f324,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f286,f321]) ).

fof(f321,plain,
    ( identity = sk_c2
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f320,f2]) ).

fof(f320,plain,
    ( sk_c2 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f272,f287]) ).

fof(f272,plain,
    ( sk_c2 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl12_16 ),
    inference(superposition,[],[f248,f190]) ).

fof(f293,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f204,f287]) ).

fof(f204,plain,
    ( sk_c7 != inverse(sk_c8)
    | ~ spl12_2
    | ~ spl12_5 ),
    inference(trivial_inequality_removal,[],[f201]) ).

fof(f201,plain,
    ( sk_c6 != sk_c6
    | sk_c7 != inverse(sk_c8)
    | ~ spl12_2
    | ~ spl12_5 ),
    inference(superposition,[],[f110,f188]) ).

fof(f110,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f109,plain,
    ( spl12_5
  <=> ! [X6] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f364,plain,
    ( identity = inverse(identity)
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f334,f361]) ).

fof(f361,plain,
    ( identity = sk_c1
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f360,f2]) ).

fof(f360,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f273,f328]) ).

fof(f273,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl12_15 ),
    inference(superposition,[],[f248,f198]) ).

fof(f198,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl12_15 ),
    inference(superposition,[],[f2,f191]) ).

fof(f334,plain,
    ( identity = inverse(sk_c1)
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f191,f328]) ).

fof(f317,plain,
    ( ~ spl12_2
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16
    | spl12_23 ),
    inference(avatar_contradiction_clause,[],[f316]) ).

fof(f316,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16
    | spl12_23 ),
    inference(subsumption_resolution,[],[f315,f235]) ).

fof(f315,plain,
    ( sk_c8 = sk_c6
    | ~ spl12_2
    | ~ spl12_3
    | ~ spl12_4
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(forward_demodulation,[],[f291,f303]) ).

fof(f291,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl12_2
    | ~ spl12_10
    | ~ spl12_15
    | ~ spl12_16 ),
    inference(backward_demodulation,[],[f188,f287]) ).

fof(f227,plain,
    ( ~ spl12_21
    | ~ spl12_1
    | ~ spl12_5 ),
    inference(avatar_split_clause,[],[f203,f109,f92,f224]) ).

fof(f203,plain,
    ( sk_c6 != sF5
    | sk_c7 != inverse(sk_c4)
    | ~ spl12_5 ),
    inference(superposition,[],[f110,f49]) ).

fof(f187,plain,
    ( spl12_1
    | spl12_4 ),
    inference(avatar_split_clause,[],[f75,f105,f92]) ).

fof(f75,plain,
    ( sk_c6 = sF3
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f12,f49,f46]) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c6 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f185,plain,
    ( spl12_3
    | spl12_12 ),
    inference(avatar_split_clause,[],[f85,f136,f101]) ).

fof(f85,plain,
    ( sk_c8 = sF11
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f17,f56,f72]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f184,plain,
    ( spl12_14
    | spl12_2 ),
    inference(avatar_split_clause,[],[f55,f96,f148]) ).

fof(f55,plain,
    ( sk_c6 = sF4
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f7,f48,f54]) ).

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

fof(f182,plain,
    ( spl12_3
    | spl12_13 ),
    inference(avatar_split_clause,[],[f84,f143,f101]) ).

fof(f84,plain,
    ( sk_c6 = sF2
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f20,f45,f56]) ).

fof(f20,axiom,
    ( sk_c8 = multiply(sk_c6,sk_c7)
    | sk_c6 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f181,plain,
    ( spl12_13
    | spl12_2 ),
    inference(avatar_split_clause,[],[f76,f96,f143]) ).

fof(f76,plain,
    ( sk_c6 = sF4
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f8,f48,f45]) ).

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

fof(f178,plain,
    ( spl12_3
    | spl12_11 ),
    inference(avatar_split_clause,[],[f65,f131,f101]) ).

fof(f65,plain,
    ( sk_c6 = sF1
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f21,f56,f43]) ).

fof(f21,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f176,plain,
    ( spl12_15
    | spl12_1 ),
    inference(avatar_split_clause,[],[f61,f92,f152]) ).

fof(f61,plain,
    ( sk_c6 = sF5
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f36,f52,f49]) ).

fof(f36,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f173,plain,
    ( spl12_14
    | spl12_3 ),
    inference(avatar_split_clause,[],[f59,f101,f148]) ).

fof(f59,plain,
    ( sk_c8 = sF8
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f19,f54,f56]) ).

fof(f19,axiom,
    ( sk_c8 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f172,plain,
    ( spl12_1
    | spl12_16 ),
    inference(avatar_split_clause,[],[f63,f164,f92]) ).

fof(f63,plain,
    ( sk_c7 = sF10
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f24,f62,f49]) ).

fof(f24,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f171,plain,
    ( spl12_1
    | spl12_3 ),
    inference(avatar_split_clause,[],[f81,f101,f92]) ).

fof(f81,plain,
    ( sk_c8 = sF8
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f18,f56,f49]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f169,plain,
    ( spl12_1
    | spl12_10 ),
    inference(avatar_split_clause,[],[f66,f127,f92]) ).

fof(f66,plain,
    ( sk_c2 = sF0
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f30,f49,f42]) ).

fof(f30,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f168,plain,
    ( spl12_16
    | spl12_14 ),
    inference(avatar_split_clause,[],[f69,f148,f164]) ).

fof(f69,plain,
    ( sk_c7 = sF7
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f25,f54,f62]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f162,plain,
    ( spl12_11
    | spl12_2 ),
    inference(avatar_split_clause,[],[f51,f96,f131]) ).

fof(f51,plain,
    ( sk_c6 = sF4
    | sk_c6 = sF1 ),
    inference(definition_folding,[],[f9,f43,f48]) ).

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

fof(f160,plain,
    ( spl12_2
    | spl12_9 ),
    inference(avatar_split_clause,[],[f83,f122,f96]) ).

fof(f83,plain,
    ( sk_c7 = sF9
    | sk_c6 = sF4 ),
    inference(definition_folding,[],[f4,f57,f48]) ).

fof(f4,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f159,plain,
    ( spl12_4
    | spl12_9 ),
    inference(avatar_split_clause,[],[f68,f122,f105]) ).

fof(f68,plain,
    ( sk_c7 = sF9
    | sk_c6 = sF3 ),
    inference(definition_folding,[],[f10,f46,f57]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f158,plain,
    ( spl12_10
    | spl12_14 ),
    inference(avatar_split_clause,[],[f60,f148,f127]) ).

fof(f60,plain,
    ( sk_c7 = sF7
    | sk_c2 = sF0 ),
    inference(definition_folding,[],[f31,f42,f54]) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f157,plain,
    ( spl12_4
    | spl12_14 ),
    inference(avatar_split_clause,[],[f77,f148,f105]) ).

fof(f77,plain,
    ( sk_c7 = sF7
    | sk_c6 = sF3 ),
    inference(definition_folding,[],[f13,f46,f54]) ).

fof(f13,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f156,plain,
    ( spl12_4
    | spl12_12 ),
    inference(avatar_split_clause,[],[f80,f136,f105]) ).

fof(f80,plain,
    ( sk_c8 = sF11
    | sk_c6 = sF3 ),
    inference(definition_folding,[],[f11,f72,f46]) ).

fof(f11,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f155,plain,
    ( spl12_14
    | spl12_15 ),
    inference(avatar_split_clause,[],[f79,f152,f148]) ).

fof(f79,plain,
    ( sk_c8 = sF6
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f37,f52,f54]) ).

fof(f37,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f146,plain,
    ( spl12_13
    | spl12_4 ),
    inference(avatar_split_clause,[],[f47,f105,f143]) ).

fof(f47,plain,
    ( sk_c6 = sF3
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f14,f46,f45]) ).

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

fof(f141,plain,
    ( spl12_2
    | spl12_12 ),
    inference(avatar_split_clause,[],[f88,f136,f96]) ).

fof(f88,plain,
    ( sk_c8 = sF11
    | sk_c6 = sF4 ),
    inference(definition_folding,[],[f5,f72,f48]) ).

fof(f5,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f140,plain,
    ( spl12_4
    | spl12_11 ),
    inference(avatar_split_clause,[],[f74,f131,f105]) ).

fof(f74,plain,
    ( sk_c6 = sF1
    | sk_c6 = sF3 ),
    inference(definition_folding,[],[f15,f46,f43]) ).

fof(f15,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f125,plain,
    ( spl12_3
    | spl12_9 ),
    inference(avatar_split_clause,[],[f58,f122,f101]) ).

fof(f58,plain,
    ( sk_c7 = sF9
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f16,f57,f56]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c6,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f120,plain,
    ( ~ spl12_3
    | ~ spl12_4
    | spl12_5
    | spl12_6
    | ~ spl12_2
    | spl12_7
    | spl12_8 ),
    inference(avatar_split_clause,[],[f64,f118,f115,f96,f112,f109,f105,f101]) ).

fof(f64,plain,
    ! [X6,X7,X4,X5] :
      ( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
      | sk_c6 != inverse(X7)
      | sk_c6 != sF4
      | sk_c8 != inverse(X5)
      | sk_c6 != multiply(X6,sk_c7)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c6 != sF3
      | sk_c7 != inverse(X6)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X7,sk_c8)
      | sk_c8 != sF8 ),
    inference(definition_folding,[],[f41,f56,f48,f46]) ).

fof(f41,plain,
    ! [X6,X7,X4,X5] :
      ( sk_c7 != inverse(X6)
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
      | sk_c6 != multiply(X6,sk_c7)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c6 != inverse(sk_c8)
      | sk_c6 != inverse(X7)
      | sk_c6 != multiply(X7,sk_c8)
      | sk_c8 != inverse(X5)
      | multiply(sk_c8,sk_c7) != sk_c6
      | sk_c8 != multiply(sk_c6,sk_c7) ),
    inference(equality_resolution,[],[f40]) ).

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

fof(f99,plain,
    ( spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f50,f96,f92]) ).

fof(f50,plain,
    ( sk_c6 = sF4
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f6,f49,f48]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GRP308-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:29:22 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.22/0.47  % (28004)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)
% 0.22/0.47  % (27996)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)
% 0.22/0.48  % (28004)Refutation not found, incomplete strategy% (28004)------------------------------
% 0.22/0.48  % (28004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.48  % (28004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.48  % (28004)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48  
% 0.22/0.48  % (28004)Memory used [KB]: 5884
% 0.22/0.48  % (28004)Time elapsed: 0.052 s
% 0.22/0.48  % (28004)Instructions burned: 3 (million)
% 0.22/0.48  % (28004)------------------------------
% 0.22/0.48  % (28004)------------------------------
% 0.22/0.48  % (27996)Instruction limit reached!
% 0.22/0.48  % (27996)------------------------------
% 0.22/0.48  % (27996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.48  % (27996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.48  % (27996)Termination reason: Unknown
% 0.22/0.48  % (27996)Termination phase: Finite model building preprocessing
% 0.22/0.48  
% 0.22/0.48  % (27996)Memory used [KB]: 6012
% 0.22/0.48  % (27996)Time elapsed: 0.007 s
% 0.22/0.48  % (27996)Instructions burned: 7 (million)
% 0.22/0.48  % (27996)------------------------------
% 0.22/0.48  % (27996)------------------------------
% 0.22/0.49  % (27989)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)
% 0.22/0.49  % (27988)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)
% 0.22/0.49  % (27989)Instruction limit reached!
% 0.22/0.49  % (27989)------------------------------
% 0.22/0.49  % (27989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.49  % (27989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.49  % (27989)Termination reason: Unknown
% 0.22/0.49  % (27989)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (27989)Memory used [KB]: 5884
% 0.22/0.49  % (27989)Time elapsed: 0.005 s
% 0.22/0.49  % (27989)Instructions burned: 4 (million)
% 0.22/0.49  % (27989)------------------------------
% 0.22/0.49  % (27989)------------------------------
% 0.22/0.51  % (27981)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.22/0.51  % (27984)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)
% 1.17/0.51  % (27992)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)
% 1.17/0.52  % (27991)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.17/0.52  % (27997)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.17/0.52  % (28008)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.17/0.52  % (27984)Refutation not found, incomplete strategy% (27984)------------------------------
% 1.17/0.52  % (27984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.52  % (27984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.52  % (27984)Termination reason: Refutation not found, incomplete strategy
% 1.17/0.52  
% 1.17/0.52  % (27984)Memory used [KB]: 5884
% 1.17/0.52  % (27984)Time elapsed: 0.103 s
% 1.17/0.52  % (27984)Instructions burned: 4 (million)
% 1.17/0.52  % (27984)------------------------------
% 1.17/0.52  % (27984)------------------------------
% 1.17/0.52  % (27998)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.17/0.53  % (27983)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)
% 1.31/0.53  % (27992)Instruction limit reached!
% 1.31/0.53  % (27992)------------------------------
% 1.31/0.53  % (27992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53  % (27986)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.31/0.53  % (27992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53  % (27992)Termination reason: Unknown
% 1.31/0.53  % (27992)Termination phase: Saturation
% 1.31/0.53  
% 1.31/0.53  % (27992)Memory used [KB]: 6140
% 1.31/0.53  % (27992)Time elapsed: 0.104 s
% 1.31/0.53  % (27992)Instructions burned: 23 (million)
% 1.31/0.53  % (27992)------------------------------
% 1.31/0.53  % (27992)------------------------------
% 1.31/0.53  % (27991)Instruction limit reached!
% 1.31/0.53  % (27991)------------------------------
% 1.31/0.53  % (27991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53  % (27991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53  % (27991)Termination reason: Unknown
% 1.31/0.53  % (27991)Termination phase: Saturation
% 1.31/0.53  
% 1.31/0.53  % (27991)Memory used [KB]: 6012
% 1.31/0.53  % (27991)Time elapsed: 0.117 s
% 1.31/0.53  % (27991)Instructions burned: 7 (million)
% 1.31/0.53  % (27991)------------------------------
% 1.31/0.53  % (27991)------------------------------
% 1.31/0.53  % (27987)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)
% 1.31/0.54  % (27990)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.54  % (27985)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.31/0.54  % (28000)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.54  % (28010)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)
% 1.31/0.54  % (27997)Instruction limit reached!
% 1.31/0.54  % (27997)------------------------------
% 1.31/0.54  % (27997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (27997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (27997)Termination reason: Unknown
% 1.31/0.54  % (27997)Termination phase: Property scanning
% 1.31/0.54  
% 1.31/0.54  % (27997)Memory used [KB]: 1279
% 1.31/0.54  % (27997)Time elapsed: 0.003 s
% 1.31/0.54  % (27997)Instructions burned: 2 (million)
% 1.31/0.54  % (27997)------------------------------
% 1.31/0.54  % (27997)------------------------------
% 1.31/0.54  % (27983)Instruction limit reached!
% 1.31/0.54  % (27983)------------------------------
% 1.31/0.54  % (27983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (27983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (27983)Termination reason: Unknown
% 1.31/0.54  % (27983)Termination phase: Saturation
% 1.31/0.54  
% 1.31/0.54  % (27993)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)
% 1.31/0.54  % (27983)Memory used [KB]: 5884
% 1.31/0.54  % (27983)Time elapsed: 0.004 s
% 1.31/0.54  % (27983)Instructions burned: 5 (million)
% 1.31/0.54  % (27983)------------------------------
% 1.31/0.54  % (27983)------------------------------
% 1.31/0.54  % (27998)Instruction limit reached!
% 1.31/0.54  % (27998)------------------------------
% 1.31/0.54  % (27998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (27998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (27998)Termination reason: Unknown
% 1.31/0.54  % (27998)Termination phase: Saturation
% 1.31/0.54  
% 1.31/0.54  % (27998)Memory used [KB]: 6012
% 1.31/0.54  % (27998)Time elapsed: 0.110 s
% 1.31/0.54  % (27998)Instructions burned: 8 (million)
% 1.31/0.54  % (27998)------------------------------
% 1.31/0.54  % (27998)------------------------------
% 1.31/0.54  % (27993)Instruction limit reached!
% 1.31/0.54  % (27993)------------------------------
% 1.31/0.54  % (27993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (27993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (27993)Termination reason: Unknown
% 1.31/0.54  % (27993)Termination phase: Saturation
% 1.31/0.54  
% 1.31/0.54  % (27993)Memory used [KB]: 5884
% 1.31/0.54  % (27993)Time elapsed: 0.128 s
% 1.31/0.54  % (27993)Instructions burned: 6 (million)
% 1.31/0.54  % (27993)------------------------------
% 1.31/0.54  % (27993)------------------------------
% 1.31/0.54  % (28002)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)
% 1.31/0.54  % (28005)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)
% 1.31/0.55  % (28002)Refutation not found, incomplete strategy% (28002)------------------------------
% 1.31/0.55  % (28002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.55  % (28002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.55  % (28002)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.55  
% 1.31/0.55  % (28002)Memory used [KB]: 5884
% 1.31/0.55  % (28002)Time elapsed: 0.129 s
% 1.31/0.55  % (28002)Instructions burned: 3 (million)
% 1.31/0.55  % (28002)------------------------------
% 1.31/0.55  % (28002)------------------------------
% 1.31/0.55  % (27982)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)
% 1.31/0.55  % (28009)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.31/0.55  % (28000)Instruction limit reached!
% 1.31/0.55  % (28000)------------------------------
% 1.31/0.55  % (28000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.55  % (27995)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)
% 1.31/0.55  % (28003)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)
% 1.31/0.55  % (28009)Refutation not found, incomplete strategy% (28009)------------------------------
% 1.31/0.55  % (28009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.55  % (28009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.55  % (28009)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.55  
% 1.31/0.55  % (28009)Memory used [KB]: 5884
% 1.31/0.55  % (28009)Time elapsed: 0.139 s
% 1.31/0.55  % (28009)Instructions burned: 4 (million)
% 1.31/0.55  % (28009)------------------------------
% 1.31/0.55  % (28009)------------------------------
% 1.31/0.55  % (28000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.55  % (28000)Termination reason: Unknown
% 1.31/0.55  % (28000)Termination phase: Saturation
% 1.31/0.55  
% 1.31/0.55  % (28000)Memory used [KB]: 6012
% 1.31/0.55  % (28000)Time elapsed: 0.141 s
% 1.31/0.55  % (28000)Instructions burned: 7 (million)
% 1.31/0.55  % (28000)------------------------------
% 1.31/0.55  % (28000)------------------------------
% 1.31/0.55  % (28006)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)
% 1.31/0.55  % (27994)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)
% 1.31/0.55  % (28001)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.31/0.56  % (28001)Instruction limit reached!
% 1.31/0.56  % (28001)------------------------------
% 1.31/0.56  % (28001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.56  % (28001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.56  % (28001)Termination reason: Unknown
% 1.31/0.56  % (28001)Termination phase: Saturation
% 1.31/0.56  
% 1.31/0.56  % (28001)Memory used [KB]: 1407
% 1.31/0.56  % (28001)Time elapsed: 0.140 s
% 1.31/0.56  % (28001)Instructions burned: 7 (million)
% 1.31/0.56  % (28001)------------------------------
% 1.31/0.56  % (28001)------------------------------
% 1.31/0.56  % (27994)Instruction limit reached!
% 1.31/0.56  % (27994)------------------------------
% 1.31/0.56  % (27994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.56  % (27994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.56  % (27994)Termination reason: Unknown
% 1.31/0.56  % (27994)Termination phase: Saturation
% 1.31/0.56  
% 1.31/0.56  % (27994)Memory used [KB]: 5884
% 1.31/0.56  % (27994)Time elapsed: 0.006 s
% 1.31/0.56  % (27994)Instructions burned: 3 (million)
% 1.31/0.56  % (27994)------------------------------
% 1.31/0.56  % (27994)------------------------------
% 1.31/0.56  % (28007)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.31/0.56  % (28007)Refutation not found, incomplete strategy% (28007)------------------------------
% 1.31/0.56  % (28007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.56  % (28007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.56  % (28007)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.56  
% 1.31/0.56  % (28007)Memory used [KB]: 5884
% 1.31/0.56  % (28007)Time elapsed: 0.149 s
% 1.31/0.56  % (28007)Instructions burned: 3 (million)
% 1.31/0.56  % (28007)------------------------------
% 1.31/0.56  % (28007)------------------------------
% 1.31/0.56  % (27999)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.31/0.57  % (27986)Instruction limit reached!
% 1.31/0.57  % (27986)------------------------------
% 1.31/0.57  % (27986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (27986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (27986)Termination reason: Unknown
% 1.31/0.57  % (27986)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (27986)Memory used [KB]: 6140
% 1.31/0.57  % (27986)Time elapsed: 0.137 s
% 1.31/0.57  % (27986)Instructions burned: 25 (million)
% 1.31/0.57  % (27986)------------------------------
% 1.31/0.57  % (27986)------------------------------
% 1.31/0.57  % (27988)Instruction limit reached!
% 1.31/0.57  % (27988)------------------------------
% 1.31/0.57  % (27988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (27988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (27988)Termination reason: Unknown
% 1.31/0.57  % (27988)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (27988)Memory used [KB]: 6780
% 1.31/0.57  % (27988)Time elapsed: 0.152 s
% 1.31/0.57  % (27988)Instructions burned: 52 (million)
% 1.31/0.57  % (27988)------------------------------
% 1.31/0.57  % (27988)------------------------------
% 1.31/0.58  % (28047)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 1.31/0.58  % (27999)Refutation not found, incomplete strategy% (27999)------------------------------
% 1.31/0.58  % (27999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.58  % (27999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.58  % (27999)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.58  
% 1.31/0.58  % (27999)Memory used [KB]: 10490
% 1.31/0.58  % (27999)Time elapsed: 0.152 s
% 1.31/0.58  % (27999)Instructions burned: 7 (million)
% 1.31/0.58  % (27999)------------------------------
% 1.31/0.58  % (27999)------------------------------
% 1.31/0.59  % (27995)Instruction limit reached!
% 1.31/0.59  % (27995)------------------------------
% 1.31/0.59  % (27995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.59  % (27985)Instruction limit reached!
% 1.31/0.59  % (27985)------------------------------
% 1.31/0.59  % (27985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.60  % (28047)Instruction limit reached!
% 1.31/0.60  % (28047)------------------------------
% 1.31/0.60  % (28047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.60  % (27981)First to succeed.
% 1.31/0.61  % (27985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.61  % (27985)Termination reason: Unknown
% 1.31/0.61  % (27985)Termination phase: Saturation
% 1.31/0.61  
% 1.31/0.61  % (27985)Memory used [KB]: 6652
% 1.31/0.61  % (27985)Time elapsed: 0.181 s
% 1.31/0.61  % (27985)Instructions burned: 35 (million)
% 1.31/0.61  % (27985)------------------------------
% 1.31/0.61  % (27985)------------------------------
% 1.31/0.61  % (28008)Instruction limit reached!
% 1.31/0.61  % (28008)------------------------------
% 1.31/0.61  % (28008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.61  % (27995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.61  % (27995)Termination reason: Unknown
% 1.31/0.61  % (27995)Termination phase: Saturation
% 1.31/0.61  
% 1.31/0.61  % (27995)Memory used [KB]: 1663
% 1.31/0.61  % (27995)Time elapsed: 0.174 s
% 1.31/0.61  % (27995)Instructions burned: 30 (million)
% 1.31/0.61  % (27995)------------------------------
% 1.31/0.61  % (27995)------------------------------
% 1.31/0.61  % (27987)Instruction limit reached!
% 1.31/0.61  % (27987)------------------------------
% 1.31/0.61  % (27987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.61  % (27987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.61  % (27987)Termination reason: Unknown
% 1.31/0.61  % (27987)Termination phase: Saturation
% 1.31/0.61  
% 1.31/0.61  % (27987)Memory used [KB]: 1535
% 1.31/0.61  % (27987)Time elapsed: 0.185 s
% 1.31/0.61  % (27987)Instructions burned: 50 (million)
% 1.31/0.61  % (27987)------------------------------
% 1.31/0.61  % (27987)------------------------------
% 1.31/0.61  % (28053)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.31/0.61  % (27990)Instruction limit reached!
% 1.31/0.61  % (27990)------------------------------
% 1.31/0.61  % (27990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.61  % (27990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.61  % (27990)Termination reason: Unknown
% 1.31/0.61  % (27990)Termination phase: Saturation
% 1.31/0.61  
% 1.31/0.61  % (27990)Memory used [KB]: 6652
% 1.31/0.61  % (27990)Time elapsed: 0.185 s
% 1.31/0.61  % (27990)Instructions burned: 52 (million)
% 1.31/0.61  % (27990)------------------------------
% 1.31/0.61  % (27990)------------------------------
% 1.31/0.61  % (28051)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.31/0.61  % (28053)Instruction limit reached!
% 1.31/0.61  % (28053)------------------------------
% 1.31/0.61  % (28053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.61  % (28053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.61  % (28053)Termination reason: Unknown
% 1.31/0.61  % (28053)Termination phase: Saturation
% 1.31/0.61  
% 1.31/0.61  % (28053)Memory used [KB]: 5884
% 1.31/0.61  % (28053)Time elapsed: 0.003 s
% 1.31/0.61  % (28053)Instructions burned: 4 (million)
% 1.31/0.61  % (28053)------------------------------
% 1.31/0.61  % (28053)------------------------------
% 1.31/0.61  % (28051)Refutation not found, incomplete strategy% (28051)------------------------------
% 1.31/0.61  % (28051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.61  % (28051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.61  % (28051)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.61  
% 1.31/0.61  % (28051)Memory used [KB]: 6012
% 1.31/0.61  % (28051)Time elapsed: 0.089 s
% 1.31/0.61  % (28051)Instructions burned: 7 (million)
% 1.31/0.61  % (28051)------------------------------
% 1.31/0.61  % (28051)------------------------------
% 1.31/0.61  % (28047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.61  % (28047)Termination reason: Unknown
% 1.31/0.61  % (28047)Termination phase: Saturation
% 1.31/0.61  
% 1.31/0.61  % (28047)Memory used [KB]: 6140
% 1.31/0.61  % (28047)Time elapsed: 0.074 s
% 1.31/0.61  % (28047)Instructions burned: 14 (million)
% 1.31/0.61  % (28047)------------------------------
% 1.31/0.61  % (28047)------------------------------
% 1.31/0.62  % (28008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.62  % (28008)Termination reason: Unknown
% 1.31/0.62  % (28008)Termination phase: Saturation
% 1.31/0.62  
% 1.31/0.62  % (28008)Memory used [KB]: 1918
% 1.31/0.62  % (28008)Time elapsed: 0.178 s
% 1.31/0.62  % (28008)Instructions burned: 74 (million)
% 1.31/0.62  % (28008)------------------------------
% 1.31/0.62  % (28008)------------------------------
% 1.31/0.62  % (28005)Instruction limit reached!
% 1.31/0.62  % (28005)------------------------------
% 1.31/0.62  % (28005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.62  % (28005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.62  % (28005)Termination reason: Unknown
% 1.31/0.62  % (28005)Termination phase: Saturation
% 1.31/0.62  
% 1.31/0.62  % (28005)Memory used [KB]: 7036
% 1.31/0.62  % (28005)Time elapsed: 0.202 s
% 1.31/0.62  % (28005)Instructions burned: 48 (million)
% 1.31/0.62  % (28005)------------------------------
% 1.31/0.62  % (28005)------------------------------
% 1.31/0.62  % (27982)Instruction limit reached!
% 1.31/0.62  % (27982)------------------------------
% 1.31/0.62  % (27982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.62  % (27982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.62  % (27982)Termination reason: Unknown
% 1.31/0.62  % (27982)Termination phase: Saturation
% 1.31/0.62  
% 1.31/0.62  % (27982)Memory used [KB]: 1663
% 1.31/0.62  % (27982)Time elapsed: 0.208 s
% 1.31/0.62  % (27982)Instructions burned: 43 (million)
% 1.31/0.62  % (27982)------------------------------
% 1.31/0.62  % (27982)------------------------------
% 1.31/0.62  % (27981)Refutation found. Thanks to Tanya!
% 1.31/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.31/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.62  % (27981)------------------------------
% 1.31/0.62  % (27981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.62  % (27981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.62  % (27981)Termination reason: Refutation
% 1.31/0.62  
% 1.31/0.62  % (27981)Memory used [KB]: 6524
% 1.31/0.62  % (27981)Time elapsed: 0.170 s
% 1.31/0.62  % (27981)Instructions burned: 61 (million)
% 1.31/0.62  % (27981)------------------------------
% 1.31/0.62  % (27981)------------------------------
% 1.31/0.62  % (27980)Success in time 0.245 s
%------------------------------------------------------------------------------